Answer: Let the experienced one help you out! Therefore, the ball hits the ground after 4 seconds. Read the explanation down below:
Brainliest?
Step-by-step explanation:
To find when the ball hits the ground, we need to find the value of t when h=0, since at that point the height of the ball is zero, indicating that it has reached the ground.
We have the equation:
h = -16t^2 + 48t + 64
Setting h to zero, we get:
0 = -16t^2 + 48t + 64
Dividing both sides by -16, we get:
0 = t^2 - 3t - 4
Now we can use the quadratic formula to solve for t:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = -3, and c = -4.
Plugging in these values, we get:
t = (-(-3) ± sqrt((-3)^2 - 4(1)(-4))) / 2(1)
t = (3 ± sqrt(9 + 16)) / 2
t = (3 ± 5) / 2
So we have two solutions:
t = (3 + 5) / 2 = 4
t = (3 - 5) / 2 = -1
The negative solution doesn't make sense in this context, so we discard it. Therefore, the ball hits the ground after 4 seconds.
a student willing to participate in a debate competition is required to fill out a registration form. answers to the follow questions on the form are what type of data?
A student willing to participate in a debate competition is required to fill out a registration form.
Form filling in two types of data i.e.,
Quantitative dataCategorical dataQuantitative data :
Quantitative data is data that can be counted or measured in numerical values. The two main types of quantitative data are discrete data and continuous data. Height in feet, age in years, and weight in pounds are examples of quantitative data. Qualitative data is descriptive data that is not expressed numerically.
Categorical data:Categorical data is a collection of information that is divided into groups. i.e., if an organization or agency is trying to get a biodata of its employees, the resulting data is referred to as categorical.
a. What is your date of birth?
Quantitative.
b. Have you participated in any debate competition previously?
Categorical.
c. If yes, how many debate competitions have you participated so far?
Quantitative.
d. Have you won any of the competitions?
Categorical.
e. If yes, how many have you won?
Quantitative.
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The given question is incomplete, complete question is:
A student willing to participate in a debate competition required to fill a registration form. State
whether each of the following information about the participant provides categorical or quantitative
data.
a. What is your date of birth?
b. Have you participated in any debate competition previously?
c. If yes, how many debate competitions have you participated so far?
d. Have you won any of the competitions?
e. If yes, how many have you won?
Please write answer in two parts. A. Main answer (correctly paraphrased, addressing all aspect of the question) B. Explanation (Step-by-step explanation)
5 (-x-1)=x+21 - 6xn what is the solution to the following equation
The diameter of a circle is 10cm find the circumference to the nearest tenth
Answer c= Cm
Answer:
31.4 cm
Step-by-step explanation:
Circumference of circle = D x π
D = 10 cm
π = 3.14
Let's solve
10 x 3.14 = 31.4 cm
So, the circumference of the circle is 31.4 cm
Noah is visiting his aunt in Texas. He wants to buy a belt buckle whose price is $25. He knows that the sales tax in Texas is 6.25%.
How much will the tax be on the belt buckle?
The tax on the belt buckle is $1.56
What is Rate?
In general terms, a rate is a measure of the relationship between two quantities that are measured in different units. A rate expresses how much of one thing there is per unit of another thing. For example, miles per hour is a rate that expresses how many miles are traveled in one hour.
To calculate the tax on the belt buckle, we need to multiply the price of the belt buckle by the sales tax rate:
Tax = Price x Tax rate
In this case, the price of the belt buckle is $25 and the sales tax rate is 6.25%. To convert the tax rate from a percentage to a decimal, we need to divide it by 100:
Tax rate = 6.25% ÷ 100 = 0.0625
Now we can calculate the tax on the belt buckle:
Tax = Price x Tax rate
= $25 x 0.0625
= $1.56
Therefore, the tax on the belt buckle is $1.56. The total cost of the belt buckle including tax would be $25 + $1.56 = $26.56.
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math help i beg anything will do just pleas help
Answer: 1. 48.356 2. 75.3982236862
Step-by-step explanation:
Radias*2 pi
At the candy shop there was 4.5 bags of skittles left if each bag weighs 1.5 ounces how many ounces of skittles are at the corner store
Answer:
6.75 ounces of Skittles
Step-by-step explanation:
If there are 4.5 bags of Skittles left and each bag weighs 1.5 ounces, then the total amount of Skittles in ounces can be found by multiplying the number of bags by the weight per bag:
4.5 bags x 1.5 ounces/bag = 6.75 ounces
Therefore, there are 6.75 ounces of Skittles at the candy shop.
6.75 ounces
Step-by-step explanation:
1.5 x 4.5 = 6.75 ounces
anova with replication is also known as? repeated measures between-group design mixed design one-way anova
this is "Repeated measures ANOVA, which is a statistical test used to analyze data from experiments in which the same participants are measured multiple times under different conditions.
What is a repeated measures ANOVA ?A repeated measures ANOVA is a statistical test used to analyze data from experiments in which the same participants are measured multiple times under different conditions. This design is sometimes referred to as a "within-subjects design" because each participant is measured within the same group.
Here are the steps for conducting a repeated measures ANOVA:
State the null and alternative hypotheses.Check the assumptions of the test, which include normality, sphericity, and homogeneity of variance.Calculate the within-subjects sum of squares (SSW), the between-subjects sum of squares (SSB), and the total sum of squares (SST).Calculate the degrees of freedom (df) for each of these sums of squares.Calculate the mean square (MS) for each source of variance by dividing the sum of squares by the degrees of freedom.Calculate the F ratio by dividing the between-subjects MS by the within-subjects MS.Determine the critical value for the F ratio using a table or software.Compare the calculated F ratio to the critical value. If the calculated F ratio is greater than the critical value, reject the null hypothesis and conclude that there is a significant effect of the independent variable on the dependent variable.If the null hypothesis is rejected, follow up with post hoc tests to determine which conditions differ significantly from each other.
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The 5th and 7th terms of a geometric sequence are 12 and 48. What is the 6th term?
O +16
O +24
O +32
O +40
Answer:
Step-by-step explanation:
5th term is 6 and the 7th term is 48, we know the nth term for a GP is arn−1
so let's substitute the given information in that formula for the nth term
ar3=6
ar6=48
ar6ar3=486
The a
and a
cancelout hence we remain with r3=8
take a cube root on both sides and we end up having r=2
Substitute the value of r in any given equation to get the value of a
ar3=6
a(2)3=6
8a=6
a=34
The formula for the nth term of this GP is given by 34(2n−1)
And when you substitute the value of n in the above formula of nth term you will get the following values; 3/4, 3/2, 3, 6…
An experiment is conducted with a bag of marbles containing 5 red and 2 blue marbles. The results of a marble being drawn twice and replaced 100 times are shown in the table.
Outcome Frequency
Red, Red 19
Red, Blue 32
Blue, Blue 21
Blue, Red 28
Find P(no red).
50/ 100
25/ 100
21/ 100
19/ 100
After the calculations, we know that the probability of "no blue" is (D) 75/100.
What is probability?Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100%, when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
The study of events that fit into a probability distribution is known as statistics.
So, we must determine the likelihood of drawing two white marbles in order to determine the probability of "no blue."
A white marble is 5/7 likely to be drawn in one draw.
The likelihood of getting two white marbles is therefore:
(5/7) * (5/7) = 25/49
Then, the probability of no blue will be:
25/49 = 25/100 = 25%
Which is 75/100.
Therefore, after the calculations, we know that the probability of "no blue" is (D) 75/100.
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Correct question:
An experiment is conducted with a bag of marbles containing 5 white and 2 blue marbles. The results of marble being drawn twice and replaced 100 times are shown in the table.
Outcome Frequency
White, White 27
White, Blue 22
Blue, Blue 18
Blue, White 33
Find P(no blue).
a. 25 over 100
b. 27 over 100
c 33 over 100
d. 75 over 100
its 21/100
Step-by-step explanation:
i did the test sorry if im too late
You and your friend are standing back-to-back. Your friend runs 20 feet forward and then 15 feet right. At the same time, you run 12 feet forward and then 9 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?
Answer:
40 ft
Step-by-step explanation:
the starting point is like the origin on the coordinate grid.
let's say forward for your friends is the positive y direction, and right for your friend is positive x direction.
the end point coordinates of your friend are then
(15, 20)
forward for you (facing in the other direction) is the the negative y direction. and going right for you is then actually going in the negative x direction.
your end point is therefore
(-9, -12)
the distance between both points is then per Pythagoras (and the derived distance formula) :
distance² = (x1 - x2)² + (y1 - y2)² =
= (15 - -9)² + (20 - -12)² = 24² + 32² =
= 576 + 1024 = 1600
distance = 40 ft
a room has a wall with an r-value of 15 f sq.ft. hr/btu. the room is 13 feet long and 11 feet wide with walls that are 9 ft high. on a particular day the average outside temperature is 36 degrees f. how much heat is transferred through the walls on that day (in btus)? answer to two decimal places without a unit.
On that particular day, approximately 272.32 BTUs of heat were transferred through the wall.
To calculate the amount of heat transferred through the walls on a particular day, we can use the formula:
Q = U × A × deltaT
where Q is the heat transferred (in BTUs), U is the overall heat transfer coefficient (in BTU/hr·ft^2·°F), A is the area of the wall (in ft^2), and deltaT is the temperature difference between the inside and outside of the wall (in °F).
First, let's calculate the area of the wall. The room has four walls, but we are only interested in the heat transferred through the wall with an R-value of 15. We can calculate the area of this wall as follows:
Area = Length × Height = 13 ft × 9 ft = 117 ft^2
Next, we need to calculate the overall heat transfer coefficient, U. The U-value is the reciprocal of the R-value, so:
U = 1 / R = 1 / 15 = 0.0667 BTU/hr·ft^2·°F
Now we need to calculate the temperature difference between the inside and outside of the wall. We are given that the outside temperature is 36 °F, but we don't know the inside temperature. Let's assume that the inside temperature is 70 °F, which is a typical room temperature. Then the temperature difference is:
deltaT = 70 °F - 36 °F = 34 °F
Finally, we can plug these values into the formula:
Q = U × A × deltaT
Q = 0.0667 BTU/hr·ft^2·°F × 117 ft^2 × 34 °F
Q ≈ 272.32 BTUs
Therefore, on that particular day, approximately 272.32 BTUs of heat were transferred through the wall.
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Find the volume of the rectangular prism.
9 yd
Pyd
4 yd
Answer:
To find the volume of a rectangular prism, we need to multiply its length, width, and height.
The given dimensions are:
Length = 9 yd
Width = Pyd (it's unclear what this means, so let's assume it's a typo and the intended value is 3 yd or 4 yd)
Height = 4 yd
Assuming the width is 3 yd, the volume of the rectangular prism is:
Volume = Length x Width x Height
Volume = 9 yd x 3 yd x 4 yd
Volume = 108 cubic yards
Assuming the width is 4 yd, the volume of the rectangular prism is
Volume = Length x Width x Height
Volume = 9 yd x 4 yd x 4 yd
Volume = 144 cubic yards
Therefore, the volume of the rectangular prism is either 108 cubic yards or 144 cubic yards, depending on the intended value of the width.
The life, in years, of a certain type of electrical switch has an exponential distribution with an average life betaequals3. If 300 of these switches are installed in different systems, what is the probability that at most 70 fail during the first year?
The probability that at most 70 switches fail during the first year is low, at around 1.3%.
The problem involves the use of the exponential distribution to model the lifetime of a certain type of electrical switch. Specifically, we are given that the average life of these switches is beta = 3.
The exponential distribution is often used to model the time between occurrences of a certain event, such as the failure of a component. In this case, we can use it to model the time between failures of the electrical switches.
To answer the question, we need to find the probability that at most 70 switches fail during the first year. Let X be the number of switches that fail during the first year. We know that X follows a Poisson distribution with parameter lambda = (1/3)*300 = 100.
This is because the expected number of failures per year for each switch is 1/3 (since the average life is 3 years), and there are 300 switches installed.
Therefore, we can use the Poisson distribution to calculate the probability that at most 70 switches fail during the first year:
P(X <= 70) = e^(-100) * (100^0/0!) + e^(-100) * (100^1/1!) + ... + e^(-100) * (100^70/70!)
This can be calculated using a calculator or software such as Excel. The answer is approximately 0.013, or 1.3%. This suggests that the switches are fairly reliable, and that it is unlikely that a large number of them will fail in a short period of time.
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a -foot-long footbridge has two diagonal supports that meet in the center of the bridge. each support makes a angle with a short vertical support. a diagram shows the footbridge, the diagonal supports and the vertical supports create two right triangles. at the top of the diagram a horizontal line is shown and labeled 20 feet. the two right triangles are shown below this horizontal line.the two longest legs of both right triangles touch at the center of the footbridge.the shortest leg of both right triangles represents the vertical support on each end of the footbridge. the hypotenuse of both right triangles form the diagonal supports that meet at the center of the footbridge. the full length of the footbridge is 20 feet. the vertical supports are not labeled. each diagonal support is labeled x. a 65-degree-angle is formed between the short vertical support and the diagonal support on each end of the bridge. what is the length x of a diagonal support, to the nearest tenth of a foot?
The length of a diagonal support (x) is approximately 18.4 feet to the nearest tenth of a foot.
To find the length x of a diagonal support, we will use the information given about the right triangles formed by the vertical supports, diagonal supports, and the horizontal line (representing half the length of the footbridge).
Since the full length of the footbridge is 20 feet, the horizontal line in each right triangle measures half of that, which is 10 feet.
The angle formed between the short vertical support and the diagonal support is given as 65 degrees.
We'll use the sine function to find the length x of the diagonal support.
In this case, sine(65) = opposite side (vertical support) / hypotenuse (diagonal support or x).
We first need to find the length of the vertical support.
To do this, we can use the tangent function.
In this case, tangent(65) = opposite side (vertical support) / adjacent side (10 feet).
Solving for the vertical support: vertical support = 10 * tangent(65) ≈ 17.1 feet.
Now, we can plug this value back into the sine equation: sine(65) = 17.1 / x.
Solving for x (the diagonal support): x = 17.1 / sine(65) ≈ 18.4 feet.
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Can someone help me out with this question fast, please!?!?!
A function of x contains five ordered pairs. Given the set of ordered pairs {(-2, 5), (0, 3), (1, -3), (5, -2)}, which of the following points could be the fifth point?
A. (1, 0)
B. (2, 5)
C. (0, -4)
D. (5, 3)
The answer is B, because a function has each input value paired to no more than 1 output value. Since 1, 0, and 5 are already in the sets of ordered pairs given, none of those can be the x value.
Is this true or false, explain how you know.
1/7 • 1/7 • 1/7 = 3/7
Answer: False
Step-by-step explanation:
1/7 x 1/7 = 1/49 x 1/7 = 1/343
Jane set up a lemonade stand to sell lemonade. The total cost of making the lemonade was $1. 50. She sold each cup of lemonade for $0. 25,
Enter an equation that can be used to find the number of cups of lemonade, x, Jane sold if her earnings were $9. 75 after paying out the cost of the lemonade.
Jane sold approximately 7.8 cups of lemonade. Since she cannot sell a fractional number of cups of lemonade, we can round up to 8 cups.
To solve this problem
Let x be the number of cups of lemonade Jane sold.
The total earnings she made from selling x cups of lemonade is:
Total earnings = price per cup * number of cups sold
Total earnings = $0.25 * x
The total cost of making x cups of lemonade is:
Total cost = cost per cup * number of cups sold
Total cost = $1.50 * x
Jane's profit is equal to her total earnings minus her total cost:
Profit = Total earnings - Total cost
Profit = $0.25x - $1.50x
Profit = -$1.25x
We know that Jane's earnings were $9.75, so we can set up the equation:
$9.75 = -$1.25x
To solve for x, we can divide both sides by -$1.25:
-$9.75 / -$1.25 = x
x = 7.8
Jane sold approximately 7.8 cups of lemonade. Since she cannot sell a fractional number of cups of lemonade, we can round up to 8 cups.
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an instructor was interested in seeing if there was a difference in the average amount of time that men and women anticipate studying for an introduction to statistics course in the summer. a group of men and women were randomly selected from the university of florida. the minitab results are below. what is the best interpretation of the results below?
The best interpretation of the results would depend on the specific statistical analysis used and the results obtained.
The results indicated a statistically significant difference between the mean anticipated study times for men and women, the interpretation would be that men and women have different average anticipated study times for the introduction to statistics course.
Conversely, if there was no statistically significant difference, the interpretation would be that there is no evidence to suggest that men and women have different average anticipated study times for the course.
As the Minitab results are not provided in the question, I cannot interpret them.
Provide a general interpretation of the statistical analysis based on the information given.
The instructor was interested in seeing if there was a difference in the average amount of time that men and women anticipated studying for an introduction to statistics course in the summer.
To test this hypothesis, a group of men and women were randomly selected from the University of Florida.
The statistical analysis may have involved using a t-test or a similar method to compare the mean anticipated study times between men and women.
The results of this analysis would provide information on whether there is a statistically significant difference between the mean anticipated study times for men and women.
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The diagonal of a square is 10
inches long. What is the length, in inches, of each side of the square? Write the answer in simplified radical form.
7.071 is the length, in inches, of each side of the square.
What is meant by "square"?
The term "square" refers to a regular quadrilateral having four equal-length sides and angles. Angles in the square are at right angles or are separated by 90 degrees. The diagonals of the square are also equal and meet at a 90-degree angle.
Having equal length sides and right angles on all four, a square is a quadrilateral. Due to the fact that a square's sides are all the same length, it may be distinguished from other types of rectangles. Every square consequently becomes a rectangle since it is a quadrilateral with right angles at all four of its angles.
If the side od=f a square is s, the diagonal is s√2
This comes from Pythagoras as diagonal is
√s² + s² = √2s² = s√2
as such s√2 = 10
s = 10/√2
= 10 * √2/√2 * √2
= 5√2
5 * 1.4142 = 7.071
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in a standard deck of cards, what is the probability of drawing a face card followed by drawing a non-face card? answer choices are in the form of a percentage, rounded to the nearest whole number.
The probability of drawing a face card followed by condition of drawing non face card is equal to 18% ( approximately).
In a standard deck of cards,
There are 12 face cards 4 jacks, 4 queens, and 4 kings
And 40 non-face cards 10 numbered cards each for the 4 suits.
The probability of drawing a face card on the first draw is
= 12/52
= 3/13.
Assuming a face card was drawn on the first draw,
There are now 51 cards remaining in the deck.
Of which 40 are non-face cards.
Probability of drawing a non-face card on the second draw is
= 40/51.
Probability of both events happening drawing a face card followed by a non-face card
= Multiply the probabilities of the individual events
= (3/13) x (40/51)
= 120/663
= 0.181approximately
= 18% (rounded to the nearest whole number).
Therefore, the probability of drawing a face card followed by drawing a non-face card in a standard deck of cards is approximately 18%.
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Which expression has a total value of 30
4+1x12-6
(4+1x12-6)
(4+1)x(12-6)
(4+1)x12-6
Among these expressions, (4+1)x(12-6) has a total value of 30.
To determine which expression has a total value of 30, let's evaluate each expression one by one:
4+1x12-6
Following the order of operations (PEMDAS/BODMAS), we first do the multiplication:
4 + (1x12) - 6 = 4 + 12 - 6
Now, we do the addition and subtraction from left to right:
16 - 6 = 10
(4+1x12-6)
This expression has the same operations as the first one, so its total value is also 10.
(4+1)x(12-6)
First, we evaluate the expressions within the parentheses:
(5)x(6)
Now, we do the multiplication:
5 x 6 = 30
(4+1)x12-6
First, we evaluate the expression within the parentheses:
(5)x12 - 6
Now, we do the multiplication:
60 - 6
Finally, we do the subtraction:
54
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If you learned $2,000 from an interest bearing account, what was the rate if the principal was $3500 for 15 years?
The rate of return on the account was 11.429% over the course of 15 years.
What is interest rate?Interest rate is the percentage charged by a lender to a borrower for the use of money. It is the cost of borrowing money, expressed as a percentage of the amount borrowed. Interest rates are typically determined by the prevailing market conditions, the type of loan product being offered, the borrower's credit score, and the lender's risk tolerance. The higher the interest rate, the more expensive the loan will be for the borrower.
The rate at which the account earned interest can be calculated using the following formula:
Rate = (Interest Earned/Principal) * (1/Number of Years)
In this case, the rate is:
Rate = (2000/3500) * (1/15)
Rate = 0.11429 or 11.429%
This means that the account earned 11.429% in interest over the course of 15 years. This rate of return is relatively modest, as interest rates are often much higher than this. In fact, the current average rate of return for a 15-year CD is around 1.75%.
The reason why the rate of return is so low is likely due to the fact that the account was earning interest at a fixed rate. Fixed rate accounts typically offer lower interest rates than variable rate accounts, since the bank or financial institution is making a guarantee that the rate will not change. This makes them less risky for the investor, but also less profitable.
In conclusion, the rate of return on the account was 11.429% over the course of 15 years.
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pls help with this question
Therefore, the original price of the suit was $950.
What is percent?Percent is a way of expressing a number as a fraction of 100, and is denoted by the symbol %. For example, 50% means 50 out of 100, or 0.5 as a decimal. Percentages are commonly used to express proportions, rates, discounts, and many other kinds of numerical information.
Here,
Let x be the original price of the suit. We know that the sale price, which is 34% less than the original price, is $627.
We can set up the equation:
x - 0.34x = 627
Simplifying this equation, we get:
0.66x = 627
Dividing both sides by 0.66, we get:
x = 950
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question 1 options: as a quality control inspector: you have previously believed a claim that 3.2% of items made on your production line are defective. to see if you should still believe this claim: you decide to do a two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective. in percentage form, and rounded to four digits past the decimal point: what is the approximate p-value of your test? answer: the approximate p-value of this test is % state your answer in percentage form. a percentage symbol is already provided. round your answer to four digits past the decimal point. include all four digits past the decimal point, even if some digits are zeros. include only your number for the answer. do not include any other information (such as another percentage symbol, or equal symbol, words, spaces, etc).
The approximate p-value is 5.1250%.
P-value is the probability of obtaining a test statistic as or more extreme than what was actually observed, given that the null hypothesis is true.
Two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective.
The approximate p-value for this two-sided significance test, with a significance level of 2%, is 5.1250%.
This is the probability of observing 22 or more defective items given that the true rate is 3.2%.
This was calculated using a binomial test, which takes into account the sample size and the expected rate of defects.
This p-value indicates whether or not the observed rate of defects is significantly different from the expected rate.
In this case, the p-value is the probability of observing 22 or more defective items given that the true rate is 3.2%.
This can be calculated using a binomial test.
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In Circle C, the diameter AB bisects the chord EF.
If m
In the circle the mesaure of ∠ACF is 7
What do you mean by Diameter ?The distance from the centre of a circle to any point on the boundary is called the radius. The radius is half of the diameter; 2r=d 2 r = d . The line segment that joins two points on the circle is a chord.
If diameter of a circle bisects a chord ,then it must be perpendicular to the chord.
∴ m∠ACF = 90°
(8x + 34)° = 90°
8x = 90 - 34
x = 56/8
x = 7
Hence,mesaure of ∠ACF = 7
Complete question : In Circle C, the diameter AB bisects the chord EF.
If m∠ACF = (8x+34)°, enter in the correct value of x.
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help please its due in a few minuets
Answer:
use desmos graphing calculator it helps alot
Step-by-step explanation:
x^{2}-x-6=0 has two zeros/solutions
x^{2}-x-6=0 has 1 zero/solution
x^{2}-x-6=0 has no zero/solution
You have a TV that is 30 inches tall and 40 inches wide. What is the length of the diagonal of the TV. (The measure from bottom left to top right of the TV)
2500 inches
1250 inches
50 inches
26.5 inches
Answer:
50 inches
Step-by-step explanation:
Using the Pythagorean theorem, we can find the length of the diagonal of the TV:
diagonal^2 = height^2 + width^2
diagonal^2 = 30^2 + 40^2
diagonal^2 = 900 + 1600
diagonal^2 = 2500
Taking the square root of both sides, we get:
diagonal = sqrt(2500)
diagonal = 50
Therefore, the length of the diagonal of the TV is 50 inches.
Can someone help me asap? It’s due today. Select all that apply.
I will give brainliest if it’s all correct!!
Answer:
3 & 4
Step-by-step explanation:
Since you have 3 choice, you want to pick the options that can represent 3 options.
1. False, since a coin only has 2 sides.
2. False, black and red is two halves of a deck, meaning you only have 2 options.
3. True, 6 is divisible by three, so it can be used. Assuming each choice is represented by two number.
4. True, 3 choices is evenly represented by 3 sections
Help me pls........................
All the possible angle measures are given as follows:
25º and 35º.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.On the first quadrant, we have that:
The cosine is greater than the sine for angles that are less than 45º.The cosine is equals to the sine for an angle of 45º.The cosine is less than the sine for angles that are greater than 45º.More can be learned about trigonometric ratios at brainly.com/question/24349828
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Please help me with the circled math question homework
The expressions are simplified to give;
7. 4n³(3n² + 4)
8. -3x(3x² - 4)
9. 5(k² - 8k + 2)
10. -10(6 + 6n² + 5n³)
11. 3(6n³ - 4n - 7)
12. 9(7n³ + 9n + 2)
What are algebraic expressions?Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.
These algebraic expressions are also made up of arithmetic operations, such as;
AdditionBracketSubtractionDivisionParenthesesMultiplicationTo factorize the expressions, we have;
12n⁵ + 16n³
Find the common term
4n³(3n² + 4)
-9x³ - 12x
find the common term
-3x(3x² - 4)
5k² - 40k + 10
find the common terms
5(k² - 8k + 2)
-60 + 60n² + 50n³
find the common term
-10(6 + 6n² + 5n³)
18n³ -12n - 21
find the common term
3(6n³ - 4n - 7)
63n³ + 81n + 18
Find the common term
9(7n³ + 9n + 2)
Learn about algebraic expressions at: https://brainly.com/question/4344214
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