Answer:
I'm guessing that it is being enlarged(I could be wrong)
If it is being enlarged:x=2/1 y=2/1
If it reduced:x=1/2 y=1/2
Step-by-step explanation:
1. Julia wants to buy a parcel of land in Montana so that she can raise bison. If the minimum down
payment on the land is $25,000, find the amount she must invest now at 8%, compounded quarterly,
to have her down payment in 4 years. Use the table of values below.
$16,542.98
$17,230.91
$19.235.12
O$18.211.25
Julia needs to invest $4,901.43 every quarter for 4 years to have a down payment of $25,000. Checking the table of values, we see that the closest answer is $4,542.98, so that is the amount she needs to invest.
How did we get this value?We can use the formula for the future value of an annuity with regular deposits to find the amount that Julia needs to invest now:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
where:
P = quarterly deposit
r = annual interest rate = 8%
n = number of compounding periods per year = 4 (quarterly)
t = number of years = 4
FV = future value of the annuity (i.e. the down payment)
We want to solve for P, which is the amount Julia needs to invest each quarter. Rearranging the formula, we get:
P = FV * (r/n) / ((1 + r/n)^(n*t) - 1)
Substituting the given values, we get:
P = 25,000 * (0.08/4) / ((1 + 0.08/4)^(4*4) - 1)
P ≈ $4,901.43
So Julia needs to invest $4,901.43 every quarter for 4 years to have a down payment of $25,000. Checking the table of values, we see that the closest answer is $4,542.98, so that is the amount she needs to invest.
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Imma give h Brainliest!!!
Answer:
Yes, because of the Angle-Angle Theorem
Step-by-step explanation:
The sum of the interior angles of a triangle are 180.
Triangle on the left
180 - 90 - 42 = 48
Triangle on the right:
180 - 90 - 48 = 42
Since the angles measurements are the same, the triangles are similar.
Helping in the name of Jesus.
Answer: Yes, because of the Angle-Angle Theorem
Step-by-step explanation:
The two triangles have the same angles, so they are similar by the Angle-Angle Theorem.
pls helpppp with this
Answer:
[tex]y = 2x - 1[/tex]
Step-by-step explanation:
We can represent this line in an equation in slope-intercept form:
[tex]y = mx + b[/tex],
where [tex]m[/tex] is the line's slope (rise over run), and [tex]b[/tex] is the y-coordinate of its y-intercept.
First, we can solve for the line's slope:
slope = rise / run = 2/1 = 2
Next, we can identify the y-coordinate of the y-intercept by looking at the vertical axis' value when the red line crosses it:
-1
Finally, we can put these two pieces of information together to form an equation in slope-intercept form:
[tex]\boxed{y = 2x - 1}[/tex]
you are thinking of combining designer whey and muscle milk to obtain a 7-day supply that provides exactly 262 grams of protein and 54 grams of carbohydrates. how many servings of each supplement should you combine in order to meet your requirements?
We need approximately 12 servings of Designer Whey and 2 servings of Muscle Milk to obtain a 7-day supply that provides exactly 262 grams of protein and 54 grams of carbohydrates.
Let x be the number of servings of Designer Whey and y be the number of servings of Muscle Milk needed to obtain a 7-day supply that provides exactly 262 grams of protein and 54 grams of carbohydrates.
From the information given, we know that each serving of Designer Whey provides 20 grams of protein and 3 grams of carbohydrates, and each serving of Muscle Milk provides 16 grams of protein and 9 grams of carbohydrates.
Therefore, we can set up the following system of equations:
20x + 16y = 262
3x + 9y = 54
To solve for x and y, we can use any method of solving a system of equations. For example, we can use substitution:
From the second equation, we can solve for x in terms of y:
x = (54 - 9y)/3 = 18 - 3y
Substituting this into the first equation, we get:
20(18 - 3y) + 16y = 262
Simplifying, we get:
80y = 182
Solving for y, we get:
y = 2.275
Substituting this into the equation x = 18 - 3y, we get:
x = 12.175
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when solving an oblique triangle given three sides, use the ---select--- form of the law of cosines to solve for an angle.
When solving an oblique triangle given three sides, use the inverse cosine form of the Law of cosines to solve for an angle.
When solving an "oblique-triangle" given three sides, we would use the inverse cosine, form of the Law of Cosines to solve for an angle.
The "Inverse-Cosine" function allows us to find the measure of an angle when given the ratio of the lengths of the triangle's sides.
The "Law-of-Cosines" relates the lengths of the sides of a triangle to the cosine of one of its angles.
The "Law-of-Cosines" states that for any triangle with sides of lengths a, b, and c, and opposite angles A, B, and C, respectively:
⇒ c² = a² + b² - 2ab × cos(C),
To solve for an angle, we would rearrange the equation to find the cosine of the angle,
⇒ Cos(C) = (a² + b² - c²)/(2ab),
Then, we will take the inverse cosine of both sides of the equation to find the value of the angle,
⇒ C = cos⁻¹((a² + b² - c²)/(2ab)),
This helps us to find the measure of angle C, depending on the units used in the original triangle sides.
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The given question is incomplete, the complete question is
When solving an oblique triangle given three sides, use the _____ form of the Law of cosines to solve for an angle.
an assumption of the linear model of communication is the belief that _____.
The communication is a one-way process in which a message is conveyed from a sender to a receiver is one of the assumptions made by the linear model of communication.
The straightforward linear model of communication presents communication as a process with distinct beginnings and endings.
But this model ignores the fact that communication is frequently a more complex and involved process that needs context, feedback, and a variety of channels.
The linear model presumes that the message is clearly understood by the recipient and that it is received by the recipient free from distortion or interference.
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An assumption of the linear model of communication is the belief that communication is a one-way process where a sender transmits a message to a receiver through a channel. This model assumes that communication is a linear process where the sender encodes a message, which is then sent through a channel to the receiver who decodes the message.
In the linear model, the sender encodes a message, sends it through a channel, and the receiver decodes the message. This model does not account for feedback or interaction between the sender and receiver, assuming that communication is a straightforward and direct transmission of information without any complexities or interruptions.
This model assumes that there is little to no feedback or interaction between the sender and receiver, and that the message is transmitted and received accurately without any distortion. However, this assumption is often criticized for oversimplifying the complex nature of communication and ignoring the role of context and feedback in the communication process.
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How do you solve this equation in Derive Linear Equations - Quiz - Level H: What is the slope of the line?
The slope of the given line is 1/3 for the line passes through (0, 2) and (3, 3).
The slope of a line represents the rate at which it rises or falls as it moves horizontally from left to right.
It is calculated by taking the difference in the y-coordinates (vertical change) and dividing it by the difference in the x-coordinates (horizontal change) of two points on the line.
The slope can also be thought of as the tangent of the angle formed by the line and the positive x-axis.
In this problem, we are given that the slope of the line is 1/3.
We can use this information to find the slope between any two points on the line.
Let's consider the points (0, 2) and (3, 3) that lie on the line.
The change in y-coordinates is 3 - 2 = 1, and the change in x-coordinates is 3 - 0 = 3.
Therefore, the slope between these two points is 1/3.
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The question is -
What is the slope of the line?
Derive Linear Equations-Quiz-Level H
can someone give me the answers to these 5?? pleaseee!!
The MAD of the hourly wages given would be $ 0.48. The range would be $ 2.00. Q1 would be $8.25. Q3 would then be $9.25. The IQR would be $1.00
How to find the number summaries ?Calculate the MAD:
First, find the mean of the data set:
mean = (sum of all values) / (number of values)
mean = (8.25 + 8.50 + 9.25 + 8.00 + 10.00 + 8.75 + 8.25 + 9.50 + 8.50 + 9.00) / 10
mean = 88.00 / 10 = 8.80
Then, find the mean of these absolute deviations:
MAD = (sum of absolute deviations) / (number of values)
MAD = (0.55 + 0.30 + 0.45 + 0.80 + 1.20 + 0.05 + 0.55 + 0.70 + 0.30 + 0.20) / 10
MAD = 4.10 / 10 = 0.41
Calculate the range:
range = maximum value - minimum value
range = 10.00 - 8.00 = 2.00
Find Q1 and Q3:
{8.00, 8.25, 8.25, 8.50, 8.50, 8.75, 9.00, 9.25, 9.50, 10.00}
Q1 is the median of the lower half, and Q3 is the median of the upper half.
Lower half: {8.00, 8.25, 8.25, 8.50, 8.50}
Upper half: {8.75, 9.00, 9.25, 9.50, 10.00}
Q1 = median of lower half = 8.25
Q3 = median of upper half = 9.25
Calculate the IQR:
IQR = Q3 - Q1
IQR = 9.25 - 8.25 = 1.00
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Please someone help me with this
Answer:
9(x+y) and 9x+9y are correct
Step-by-step explanation:
Ex: 9(3+5) = 27 and 9(3)+9(5)=27
they both would give you the same answers if you used the same numbers how i did in the example
not good at explaining it i tried my best ;)
Ron wants to rent a car. He is offered two payment options, which are shown in the table. Which number line shows the number of miles that will make Option A less expensive than Option B? Daily Cost ($) 25 10 A B Payment Option A B ++ + 0 10 20 30 40 50 60 70 80 90 100 Cost per Mile ($) 0.15 0.40 011++ 0 10 20 30 40 50 60 70 80 90 100 C++ + 0 10 20 30 40 50 60 70 80 90 100 D4 0 +++ 10 20 30 40 50 60 70 80 90 100
The number line that shows the number of miles where A is less expensive has a solution of x > 60
Selecting the number line that shows the number of milesFrom the question, we have the following parameters that can be used in our computation:
Option Daily Cost ($) Cost per mile ($)
A 25 0.15
B 10 0.40
So, the cost functions are
A = 25 + 0.15x
B = 10 + 0.4x
Where x is the number of miles
When A is less expensive, we have
25 + 0.15x < 10 + 0.4x
Evaluate the like terms
15 < 0.25x
So, we have
0.25x > 15
Divide
x > 15/0.25
Evaluate
x > 60
Hence, the number line is (a)
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When the angle of elevation of the sun is 65°, a building casts a shadow that is 6m long. What is the height of the building to the nearest tenth of a meter?
The height of the building is approximately 18.6 meters to the nearest tenth of a meter.
What is trigonometry?Trigonometry is one of the most significant branches of mathematics, with numerous applications in a wide range of fields. The study of the relationship between the sides and angles of a right-angle triangle is the focus of the "Trigonometry" branch.
We can use trigonometry to solve this problem. Let's draw a diagram:
In the diagram, h is the height of the building, d is the distance from the building to the tip of the shadow, and the angle of elevation of the sun is 65°.
We can see that the height of the building and the distance to the tip of the shadow form a right triangle, and the angle of elevation is the angle opposite the height of the building. Therefore, we can use the tangent function to find the height of the building:
tan(65°) = h/d
Multiplying both sides by d, we get:
h = d tan(65°)
We know that the length of the shadow is 6 m, so d = 6. Substituting this into the formula, we get:
h = 6 tan(65°)
Using a calculator, we get:
h ≈ 18.6
Therefore, the height of the building is approximately 18.6 meters to the nearest tenth of a meter.
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an open box will be made by cutting a square from each corner of a 16-inches by 10-inches piece of cardboard and then folding up the sides. what size square should be cut from each corner in order to produce a box of maximum volume? what is that maximum volume?
The size of the square to cut is 5/3 inches and the maximum volume of the box is 266.67 cubic inches.
To find the size of the square to cut and the maximum volume, we can follow these steps:
Let's call the length of each side of the square to be cut x inches. So the dimensions of the base of the box would be (16-2x) inches by (10-2x) inches.
The height of the box would be x inches since we are folding up the sides.
The volume of the box can be found by multiplying the length, width, and height: V = (16-2x)(10-2x)x.
To find the maximum volume, we can take the derivative of V with respect to x and set it equal to zero, since the maximum volume occurs at a critical point.
After taking the derivative and simplifying it, we get the equation 24x^2 - 520x + 1600 = 0.
Solving this quadratic equation, we get x = 5/3 or x = 20/3. Since x must be less than 5 (the length of the shorter side), the only feasible solution is x = 5/3 inches.
Plugging this value of x back into the equation for the volume, we get V = (16-2(5/3))(10-2(5/3))(5/3) = 266.67 cubic inches.
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A random sample of 100 adults are asked if they pay for monthly subscriptions that they do not use, like a magazine, app, or online program simply. Many do, because they have never taken the time to cancel the subscription. A 95% confidence interval for the proportion of adults who to pay for subscriptions they do not use is 0. 352 to 0. 548.
a. Interpret the confidence interval.
b. Calculate the point estimate and the margin of error.
c. Based upon this survey, a reporter claims that a majority of adults continue to pay for monthly subscriptions they do not use. Use the confidence interval to evaluate this claim
a) The 95% confidence interval indicates that we are 95% confident that the true proportion of adults who pay for monthly subscriptions they do not use is between 0.352 and 0.548.
b) The point estimate is 0.5 or 50%. The margin of error is 0.024 or 2.4%.
The 95% confidence interval indicates that if we were to repeat this survey many times, about 95% of the intervals we calculate would contain the true proportion of adults who pay for monthly subscriptions they do not use in the population.
Specifically, based on the sample data, we are 95% confident that the true proportion of adults who pay for monthly subscriptions they do not use is between 0.352 and 0.548.
b. The point estimate is the sample proportion, which is calculated by taking the number of adults in the sample who pay for subscriptions they do not use and dividing by the total sample size
point estimate = number of adults in sample who pay for subscriptions they do not use / total sample size
= (number of "yes" responses) / 100
= (0.5 x 100) / 100
= 0.5
So the point estimate is 0.5 or 50%.
The margin of error is calculated by taking half of the width of the confidence interval
margin of error = (upper limit of confidence interval - point estimate) / 2
= (0.548 - 0.5) / 2
= 0.024
So the margin of error is 0.024 or 2.4%.
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The given question is incomplete, the complete question is:
A random sample of 100 adults are asked if they pay for monthly subscriptions that they do not use, like a magazine, app, or online program simply. Many do, because they have never taken the time to cancel the subscription. A 95% confidence interval for the proportion of adults who to pay for subscriptions they do not use is 0. 352 to 0. 548.
a. Interpret the confidence interval.
b. Calculate the point estimate and the margin of error.
Find the Length of the Arc ^PQ and round your answer to the nearest Hundredth place.
Please help
The length of an arc is PQ is 9.42 units.
How to find the length of an arc?The length of an arc is PQ can be found as follows:
length of an arc = ∅ / 360 ×2πr
where
∅ = central angler = radius of the circleTherefore,
∅ = 60 degrees
r = 9 units
length of the arc = 60 / 360 × 2 × 3.14 × 9
length of the arc = 1 / 6 × 56.52
length of the arc = 56.52 / 6
length of the arc = 9.42 units
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Write the number in numerical form:
Six hundred six and four thousand, three hundred fifteen ten-thousandths
The number "Six hundred six and four thousand, three hundred fifteen ten-thousandths" is equal to 606.4315 in numerical form.
Writing the number in numerical form:Given that
Six hundred six and four thousand, three hundred fifteen ten-thousandths
To write this number in numerical form, we need to add the values of each of its digits:
6 × 100 + 0 × 10 + 6 × 1 + 4 × 0.1 + 3 × 0.01 + 1 × 0.005 = 606.4315
Therefore, the number "Six hundred six and four thousand, three hundred fifteen ten-thousandths" is equal to 606.4315 in numerical form.
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Jude is making cement for a driveway. The instructions show the amount of each ingredient to make 1 batch of cement. Complete each statement to adjust the ingredients for each new situation if Jude uses these instructions. 3 quarts of water. 4 packages of pre-mixed mortar.
To make 2 batches of cement, Jude will need 6 quarts of water and 8 packages of pre-mixed mortar.
To make 5 batches of cement, Jude will need 15 quarts of water and 20 packages of pre-mixed mortar.
What is proportion?Ratio and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of a/b, ratio a:b, and then a proportion. In this case, a and b can be any two integers. The ratio and proportion are important building blocks for understanding the numerous ideas in science and mathematics.
To make 2 batches of cement, Jude will need 6 quarts of water and 8 packages of pre-mixed mortar.
To make 5 batches of cement, Jude will need 15 quarts of water and 20 packages of pre-mixed mortar.
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4.834 * 10 ^ 9 as an ordinary number
Answer:
4834000000
That is your answer.
I don’t see answer
Pleas tell answer thanks
you have to tell the question first
1. The largest of 2 integers is one more than three times the smaller. If the sum of the two integers is 37, find the larger integer.
2. For two consecutive integers, the sum of the smaller and twice the larger is 29. Find the smaller integer.
1. we can use the first equation to find y = 3x + 1 = 3(9) + 1 = 28 So, the larger integer is 28, (2). The smaller integer is 9. The larger integer is 10, which is the next consecutive integer.
What is an integer ?An integer is a whole number ,neither a fraction or a decimal, in mathematics. Integers can be zero, positive, or negative.
Integer examples include -3, -2, -1, 0, 1, 2, 3, and so forth.
The letter "Z" stands for the set of integers.
In mathematics and allied disciplines such as computer science, physics, and finance, integers are utilized extensively.
What is a whole number ?A whole number is a non-negative integer in mathematics, which indicates that it is either a positive integer or zero.
Negative and fractional numbers are not included in whole numbers. The full integers 0, 1, 2, 3, 4, and so on are examples.
In many different branches of mathematics as well as in other disciplines, such as arithmetic, algebra, and geometry, whole numbers are used. They are also employed in daily tasks like quantity calculations and object counts.
According to question :-
Let's call the smaller integer x and the larger integer y. We know that:
y = 3x + 1 (the largest of the two integers is one more than three times the smaller)
x + y = 37 (the sum of the two integers is 37)
We can use substitution to solve for y in terms of x:
x + (3x + 1) = 37
4x + 1 = 37
4x = 36
x = 9
Now we can use the first equation to find y:
y = 3x + 1 = 3(9) + 1 = 28
So the larger integer is 28.
Let's call the smaller integer x and the larger integer y. We know that:
y = x + 1 (the integers are consecutive)
x + 2y = 29 (the sum of the smaller and twice the larger is 29)
We can substitute y = x + 1 in the second equation:
x + 2(x + 1) = 29
Simplifying and solving for x:
3x + 2 = 29
3x = 27
x = 9
So the smaller integer is 9. The larger integer is 10, which is the next consecutive integer.
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in a shipment of 15 room air conditioners, there are 5 with defective thermostats. two air conditioners will be randomly selected (without replacement) and inspected. what is the probability that the selected two are both defective? round your answer to four decimal places.
The probability of both selected room air conditioners are defective is equal to 0.0952 rounded to four decimal places.
Total number of room air conditioners in shipment = 15
Number of defective room air conditioners = 5
The probability of the first air conditioner being defective is 5/15.
Since there are 5 defective air conditioners out of a total of 15.
After one air conditioner has been inspected,
There will be 4 defective air conditioners left out of a total of 14.
The probability of the second air conditioner also being defective, given that the first one was defective, is 4/14.
Probability of both air conditioners being defective.
Multiply probability of first air conditioner being defective by probability of second air conditioner being defective.
Given by first one was defective,
P(both defective) = (5/15) x (4/14)
Simplifying this expression ,
P(both defective) = 2/21
Therefore, the probability that the selected two air conditioners are both defective is 0.0952 rounded to four decimal places.
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the weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. refer to exhibit 6-3. what percent of players weigh between 180 and 220 pounds?
The approximately 57.62% of football players weigh between 180 and 220 pounds.
How to find percent of players weigh between 180 and 220 pounds using standard normal distribution?Since the weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds, we can use the standard normal distribution to find the proportion of players who weigh between 180 and 220 pounds.
We first need to convert the weights to standard units by using the formula:
z = (x - mu) / [tex]\Sigma[/tex]
where:
x = the weight we want to convert to standard units
mu = the mean weight of the players (200 pounds)
sigma = the standard deviation of the players' weights (25 pounds)
For the lower end of the range, we have:
z1 = (180 - 200) / 25 = -0.8
For the upper end of the range, we have:
z2 = (220 - 200) / 25 = 0.8
Now, using a standard normal distribution table or calculator, we can find the proportion of players between z1 and z2:
P(-0.8 < z < 0.8) = 0.7881 - 0.2119 = 0.5762
Therefore, approximately 57.62% of football players weigh between 180 and 220 pounds.
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consider the following computer output. source df ss ms f p-value factor ? 117.4 39.1 ? ? error 16 396.8 ? total 19 514.2 a. how many levels of the factor were used in this experiment? b. how many replicates did the experimenter use? c. fill in the missing information in the anova table. d. what conclusions can you draw about differences in the factor-level means?
The computer output provided.
It seems that the experimenter used one factor in the experiment.
It is unclear how many levels of the factor were used, as this information is missing from the output.
The total number of observations in the experiment, which is not given. Estimate the number of replicates based on the degrees of freedom for error, which is 16.
Assuming that each replicate had equal sample size, we can calculate the total number of observations as follows:
[tex]Total observations = (df for error + df for factor) + 1[/tex]
[tex]Total observations = (16 + df for factor) + 1[/tex]
[tex]Total observations = 17 + df for factor[/tex]
Since we do not know the value of df for factor, we cannot determine the exact number of replicates.
We can say that the experimenter used at least 17 observations in total.
To fill in the missing information in the ANOVA table, we need to know the number of levels of the factor and the number of replicates. Assuming that there were k levels of the factor and n replicates, we can calculate the following:
[tex]SS factor = MS factor \times (n - 1) \times k[/tex]
[tex]MS factor = SS factor / (k - 1)[/tex]
[tex]F = MS factor / MS error[/tex]
P-value = probability of obtaining an F-statistic as extreme as the observed value, assuming the null hypothesis is true
Without knowing the values for k and n, we cannot fill in the missing information in the ANOVA table.
Finally, based on the information given, we cannot draw any conclusions about differences in the factor-level means. We need more information about the experiment, such as the hypothesis being tested, the nature of the factor, and the specific levels being compared, in order to make any meaningful conclusions.
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If the area of an equilatral is 81 to the root of 3 cm squarefind the perimeter of the triangle
The perimeter of the equilateral triangle with an area of 81√3 cm² is 54 cm.
An equilateral triangle is a type of triangle in which all three sides are equal in length, and all three angles are equal to 60 degrees.
Let's denote the side length of the equilateral triangle by "a".
The formula for the area of an equilateral triangle is
Area = (√3/4) × a^2
We are given that the area is 81√3 cm², so we can set up the equation
81√3 = (√3/4) × a^2
Solving for "a", we get:
a = 18 cm
Now that we know the side length, we can find the perimeter by multiplying it by 3 (since it's an equilateral triangle):
Perimeter = 3a = 3 × 18 cm = 54 cm
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Find The Values Of X and Y
The characteristics of the sum of the angles, (supplementary and complementary) and the indicated angles in the question indicates;
x = 6
y = 24
What are supplementary angles?Supplementary angles are two angles that have a sum of 180° and together form a linear pair.
The angles ∠PTQ and ∠QTR are linear pair angles, therefore;
m∠PTQ + m∠QTR = 180°
m∠PTQ = (5·y)°
m∠QTR = (2·y + 12)°
Therefore; m∠PTQ + m∠QTR = (5·y)° + (2·y + 12)° = (7·y + 12)°
(7·y + 12)° = 180° (Substitution property)
7·y + 12 = 180
7·y = 180 - 12 = 168
y = 168/7 = 24
y = 24
The angles ∠QTR and ∠RTS are complementary angles, therefore;
m∠QTR + m∠RTS = 90°
m∠QTR = (2·y + 12)°
m∠RTS = (5·x)°
Therefore; (2·y + 12)° + (5·x)° = 90°
(5·x)° = 90° - (2·y + 12)°
x = (90° - (2·y + 12)°)/5
x = (90° - (2 × 24 + 12)°)/5 = 6
x = 6
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Graph the equation include aleast 3 ordered pairs
y=0.5x + 2
Answer:
(2, 3)
(0, 2)
(-2, 1)
Step-by-step explanation:
This equation is in slope-intercept form:
[tex]y=mx+b[/tex],
where [tex]m[/tex] is the line's slope, and [tex]b[/tex] is the y-coordinate of its y-intercept.
Using this knowledge, we can identify the following:
[tex]m = 0.5 = \frac{1}{2}[/tex]
[tex]b = 2[/tex]
Now, we can graph the line with a slope of 1/2 and a y-intercept at y = 2 (see the attached image).
But, even if we were not to graph it, we could still find integer points to the left and right of the y-intercept using the fact that:
[tex]\text{slope} = \dfrac{\text{rise}}{\text{run}} = \dfrac{\Delta y}{\Delta x} = \dfrac{1}{2}[/tex]
So, we can say that the following points are on the line:
(0, 2) ← y-intercept
(0 + 2, 2 + 1) = (2, 3) ← point to the right
(0 - 2, 2 - 1) = (-2, 1) ← point to the left
Identify the expression that is not equivalent to 6x + 3.
The resultant value of the given expression x² + 10x + 24 when x = 3 is (C) 63.
What are expressions?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.
Expressions in writing are made using mathematical operators such as addition, subtraction, multiplication, and division.
For instance, "4 added to 2" will have the mathematical formula 2+4.
So, we have the expression:
= x² + 10x + 24
Now, solve when x = 3 as follows:
= x² + 10x + 24
= 3² + 10(3) + 24
= 9 + 30 + 24
= 63
Therefore, the resultant value of the given expression x² + 10x + 24 when x = 3 is (C) 63.
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Correct question:
Evaluate the expression when x = 3.
x² + 10x + 24
a. 81
b. 86
c. 63
d. 60
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Select the correct answer.
Find the value of x.
log 8 = 0.5
A. 16
B. 4
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C. 64
D. 32
Properties of Logarithms
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Answer:
C
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
and [tex]x^{0.5}[/tex] = [tex]\sqrt{x}[/tex]
given
[tex]log_{x}[/tex] 8 = 0.5 , then
8 = [tex]x^{0.5}[/tex] = [tex]\sqrt{x}[/tex] ( square both sides )
8² = ( [tex]\sqrt{x}[/tex] )²
64 = x
we want to estimate a population mean using a 99% confidence interval and a random sample of 35 individuals. what is the critical t-score?
The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.
How to estimate a population mean using a 99% confidence interval?To estimate a population mean using a 99% confidence interval and a random sample of 35 individuals, you need to find the critical t-score.
Step 1: Determine the degrees of freedom. For a sample of 35 individuals, the degrees of freedom (df) = sample size - 1 = 35 - 1 = 34.
Step 2: Find the critical t-score using a t-table or an online calculator. For a 99% confidence interval and 34 degrees of freedom, the critical t-score is approximately 2.733.
Your answer: The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.
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the choice between numerical integration approaches depends on what the data looks like and what computational expense you can tolerate. group of answer choices true false
The answer is True which means the choice between numerical integration approaches depends on what the data looks like and what computational expense you can tolerate.
The choice of numerical integration procedures is influenced by several criteria, including the nature of the data being integrated and the computing expenditure that may be accepted. If the function being integrated, for example, is smooth and well-behaved, a basic technique such as the trapezoidal rule or Simpson's rule may be adequate and computationally efficient.
If the function is extremely oscillatory or involves singularities, more complex approaches such as adaptive quadrature or Monte Carlo methods may be required to correctly integrate it. Furthermore, the size of the data collection and the processing resources available will influence the numerical integration method used.
Overall, choosing the best numerical integration strategy necessitates a careful evaluation of these numerous criteria to assure accuracy and efficiency in the integration of data.
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One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 units wide.
The area of the shaded region with dimensions length=5 units and width=2 units is 10 units².
What is area?
It is the extent to which a flat (2-D) figure, surface, or shape of an object occupies all available space.The area of a flat, two-dimensional figure is the area that is enclosed or covered by the boundary of the figure. Additionally, it is the quantity of unit squares that completely cover a closed figure's surface. Square measurements of area include sq. mm, cm2, and m2. Additionally, it describes the area located inside a closed shape's border or limit.
Area of rectangle = length x width
Given dimensions of outer rectangle:length=9 units & width=6 units
Also given that there is a width of frame is 2 units between outer & inner rectangle on all its boundaries.
To find the area of shaded inner rectangle, we need its dimensions.
Length=length of outer rectangle- 2 times width of frame
=9 - 2(2)
=9-4
=5 units
Widthth=width of outer rectangle- 2 times width of frame
=6 - 2(2)
=6-4
=2 units
Area of shaded portion= area of rectangle
= L x W
= 5 x 2
=10 units²
Area of shaded portion=10 units²
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