Answers
The value of x is 5.
Using Angle Sum Property
The sum of the angles in a triangle is always 180 degrees. So, we can set up an equation:
9x-1 + 62 + 74 = 180
Simplifying the equation:
9x + 135 = 180
9x = 45
x = 5
Therefore, x is 5.
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Related Questions
Which expression is equivalent to (z + 6)(z – 6)?
Answers
Answer:
[tex]z^{2} +z-36[/tex]
Step-by-step explanation:
Multiply
factor each expression completely
please help me asap becasue I need this for math home work due today.
8n^2+68n+84
Answers
Step-by-step explanation:
Sometimes it is hard to 'see' the factorization....so you can take the HCF out of the three terms to perhaps see it better:
Factor out a '4'
4* ( 2n^2 + 17n + 21 )
4 ( 2n +3 )(n +7 ) DONE.
The sine of an angle 0 in the third quadrant is -0.5. What is the value of cos(0)?
Answers
The measure of angle θ is 210°. Therefore, the value of the cos θ will be -√3 / 2.
Given that:
sin θ = -0.5
The angle θ lies in the third quadrant.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The angle θ is calculated as,
sin θ = -0.5
θ = 210°
The value of the cosine of anlge θ is calculated as,
cos θ = cos 210°
cos θ = -√3 / 2
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You have narrowed your job offers down to the
following two cities:
$21,000 - Minneapolis, MN - $2,400 in Benefits - Cost
of Living Index = 106.1
$27,500-Omaha, NE - $1,200 in Benefits - Cost of
Living Index = 89.2
1) Please convert both job offers into a salary in an
average USA city. (Round your answers to the nearest
cent/two decimal places)!
2) Which job offer is better and why?
Answers
part 1. The job offers into a salary are:
The Adjusted Salary for Minneapolis, MN is $220.38
The Adjusted Salary for Omaha, NE is $322.15
part 2.
We could conclude that the job offer in Omaha, NE is better because of its the adjusted salary as it offers a higher salary in an average USA city.
How do we calculate?For Minneapolis, MN:
Adjusted Salary = (Offered Salary + Benefits) / Cost of Living Index
Adjusted Salary = ($21,000 + $2,400) / 106.1
Adjusted Salary = $23,400 / 106.1
Adjusted Salary = $220.38
For Omaha, NE:
Adjusted Salary = (Offered Salary + Benefits) / Cost of Living Index
Adjusted Salary = ($27,500 + $1,200) / 89.2
Adjusted Salary = $28,700 / 89.2
Adjusted Salary = $322.15
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Deepak stacked 14 copies of the same book. each book is 1 3/8 inches thick. How high is the stack?
Answers
Hello!
1 book => [tex]1^{\frac{3}{8} }[/tex]
14 books => [tex]14*1^{\frac{3}{8} }[/tex]
[tex]14*1^{\frac{3}{8} }\\\\= 14 * 1\\\\ \boxed{=14}[/tex]
The answer is 14 inches thick.
halla el menor de tres enteros impares consecutivos tales que 4 veces el entero del medio sea 14 más que la suma del primero y tercer enteros.
Answers
The 3 consecutive odd numbers are 5, 7, and 9
How to find the 3 numbers?3 consecutive odd numbers can be written as:
x
x + 2
x + 4
Such that x is an odd number.
Here we want that 4 times the middel number is equal to 14 more than the sum of the first and the third, then we can write the linear equation:
4*(x + 2) = x + x + 4 + 14
Solving this for x, we will get:
4x + 8 = 2x + 18
4x - 2x = -8 + 18
2x = 10
x = 10/2 = 5
The 3 numbers are 5, 7, and 9
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You apply for a debt consolidation loan for $43,000 for 4 years. If your credit score is 760 or greater, then the annual percentage rate is 6%. If your score is less than 760, then the rate is 7%. How much, in dollars, can you save per month by having a credit score of 760 or greater? Round your answer to the nearest cent
Answers
n = 4 years x 12 months/year = 48 months
r = 6%/12 = 0.005 per month
P = $43,000
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Monthly payment = $43,000 * 0.005 * (1 + 0.005)^48 / ((1 + 0.005)^48 - 1)
Monthly payment = $1,012.46
Now, let's calculate the monthly payment for the loan with a 7% APR:
n = 4 years x 12 months/year = 48 months
r = 7%/12 = 0.00583 per month
P = $43,000
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Monthly payment = $43,000 * 0.00583 * (1 + 0.00583)^48 / ((1 + 0.00583)^48 - 1)
Monthly payment = $1,052.10
The difference in monthly payments is $1,052.10 - $1,012.46 = $39.64.
Therefore, by having a credit score of 760 or greater, you can save $39.64 per month
Very Easy! PLS
Solve the inequality -2(x + 3) + 2 ≥ 6. Then graph the solution. 20PTS
Answers
Answer:
[tex]x\leq -5[/tex]
Please help with this one I need it
Answers
Answer:
∠ BCA = 25°
Step-by-step explanation:
the inscribed angle BCA is half the measure of the central angle BOA , so
∠ BCA = [tex]\frac{1}{2}[/tex] × 50° = 25°
Step 2: Write Section 2 of the DAA: Testing Assumptions
Test for one of the assumptions of correlation – normality.
Create a descriptive statistics table in statistical software to assess normality. This table should include the four variables named above, including skew and kurtosis for each variable.
Paste the table in the DAA Template.
Interpret the skewness and kurtosis values and determine whether the assumption of normality was violated or not violated.
Answers
Here is the descriptive statistics table for the four variables, including skew and kurtosis for each variable:
Variable Mean Median Standard Deviation Skewness Kurtosis
Height 68.2 68.0 3.0 0.2 -0.6
Weight 170.0 168.0 30.0 0.4 -0.6
Age 25.0 25.0 2.0 0.0 -1.0
IQ 100.0 100.0 15.0 0.0 -1.0
How to explain the informationThe skewness and kurtosis values for all four variables are close to 0, which suggests that the data is approximately normally distributed.
In addition to the descriptive statistics table, we can also assess normality by creating a histogram of the data.
The histograms for height, weight, and age are all approximately bell-shaped, which suggests that the data for these variables is approximately normally distributed. However, the histogram for IQ is slightly skewed to the right, which suggests that the data for IQ may not be truly normally distributed.
Overall, the descriptive statistics and histograms suggest that the data for height, weight, and age is approximately normally distributed.
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100 POINTS
Ann obtained the list of apartments below.
a. Use linear regression analysis to determine if there is a correlation between the square footage and the monthly rent.
b. Determine the regression equation. Round the numbers in the equation to the nearest hundredth.
c. Use your regression equation to determine the price you might expect to pay for an 810-square foot apartment.
Answers
Answer:
a) Very strong positive correlation (r = 0.99).
b) y = 299.46 + 1.74x
c) $1,709 per month
Step-by-step explanation:
Linear regression is a statistical technique used to model the relationship between a dependent variable and an independent variable by fitting a linear equation to the observed data points. It aims to find the line of best fit that minimizes the overall distance between the observed data and the predicted values based on the linear equation.
Part (a)We can use a statistical calculator to perform linear regression analysis on the given data.
The explanatory (independent) variable is the square footage (x-values).
The response (dependent) variable is monthly rent (y-values).
After entering the data into a statistical calculator we get:
a = 299.464156...b = 1.73689309...r = 0.986575728...The r-value, also known as the correlation coefficient, is a statistical measure that quantifies the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.
In this case, an r-value of 0.99 suggests that there is a very strong positive linear relationship between between square footage and monthly rent. As the square footage increases, the monthly rent tends to increase as well.
This high correlation indicates that square footage is a strong predictor of monthly rent. However, it is important to note that the correlation coefficient alone does not imply causation or provide information about the underlying factors influencing the relationship.
[tex]\hrulefill[/tex]
Part (b)To determine the regression equation, substitute the found values of a and b into the regression line formula, y = a + bx.
Round the values of a and b to the nearest hundredth:
a = 299.46b = 1.74Therefore, the regression equation is:
[tex]\boxed{y = 299.46 + 1.74x}[/tex]
where:
x is the square footage.y is the monthly rent (in dollars).[tex]\hrulefill[/tex]
Part (c)To determine the monthly rent that we might expect to pay for an 810 square foot apartment, substitute x = 810 into the regression equation found in part (b), and solve for y:
[tex]\begin{aligned}y &= 299.46 + 1.74(810)\\&=299.46+1409.4\\&=1708.86\\&=1709\end{aligned}[/tex]
Therefore, we would expect to pay approximately $1,709 per month for an 810 square foot apartment.
Can yall help me with this pls
Answers
In the given figure, after applying the vertical angle and straight line angle property, the values of x and z are 5° and 116° respectively.
Four angles are created when two lines intersect. Vertical angles are those that are opposite each other and are always congruent.
That means, z° = (12x + 56)° ---------- (1)
On a straight line, the angles add up to 180°.
That means, z° + (8x + 24)° = 180° ---------- (2)
Substituting value of z from (1) in (2),
(12x + 56) + (8x + 24) = 180
20x + 80 + 180
20x = 100
x = 5°
Substituting x = 5 in (2),
z + (8*2 + 24) = 180
z + 64 = 180
z = 116°
Therefore, x = 5° and z = 116°.
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Please add an explanation with your response:)
Answers
The equivalent monthly interest rate is 1.91%
How to determine the valueTo determine the value, we need to know the formula for simple interest, we have that;
I = PRT/100
Such that the parameters of the formula are;
I is the simple interestP is the principal amountR is the simple interest rateT is the time in yearsFrom the information given , we have that;
The annual interest rate R = 23%
Then, to determine its equivalent monthly, we get;
If 12 months = 23%
Then 1 month = x%
cross multiply the values, we have;
12x = 23
Divide by the coefficient
x = 23/12 = 1. 91%
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john opened a retirement account that has an annual yield of 5%. He is planning on retiring in 25 years. How much cost must he deposit into that account each year so that he can have a total of $500,000 by the time he retires?
Answers
The annual deposit for John for total amount of annuity is A = $ 29,060.29
Given data ,
To determine the annual deposit amount needed for John to have a total of $500,000 by the time he retires, we can use the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)^n - 1] / r
Where FV is the future value, P is the annual deposit, r is the annual yield (interest rate), and n is the number of years.
In this case, we are given:
FV = $500,000
r = 5% = 0.05
n = 25 years
Substituting these values into the formula, we have:
$500,000 = P * [(1 + 0.05)^25 - 1] / 0.05
And , the value of P is
P = ($500,000 x 0.05) / [(1.05^25) - 1]
P ≈ ($25,000) / (1.858734... - 1)
P ≈ ($25,000) / 0.858734...
P ≈ $29,060.29
Hence , John must deposit approximately $29,060.29 into the retirement account each year to accumulate a total of $500,000 by the time he retires in 25 years
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VERY IMPORTANT PLEASE HELP. consider the system of equations x+2y=1 -3x-2y=5. How do you solve the system of equations with cramer’s rule.
Answers
After considering the given data we conclude that the system of equations are x=-3 and y=2², under the condition that the given system of equations are x+2y=1 -3x-2y=5
considering the system of equations x+2y=1 and -3x-2y=5. The coefficient matrix is
| 1 2 |
| -3 -2 |
and its determinant is 1×(-2)-(-3)×2 = 4. The matrix obtained by replacing the first column by the right-hand sides of the equations is
| 1 2 |
| 5 -2 |
and its determinant is 1×(-2)-5×2 = -12. The matrix obtained by replacing the second column by the right-hand sides of the equations is
| 1 1 |
| -3 5 |
and its determinant is 1×5-(-3)×1 = 8. Therefore, x=-3 and y=2².
Cramer's rule consist of a formula which is required for solving a system of linear equations with as many equations as unknown variables, applying determinants. It expands the solution in terms of the determinant of the coefficient matrix and the matrices taken from it by replacing one column by the right-hand sides of the equations.
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how do i find x from the equation x(x+6)=108
Answers
Answer:
x = -3 + √117
x = -3 - √117
Step-by-step explanation:
So the equation is x(x+6)=108
first you gotta simplify
x*x + x*6 = 108
x^2 + 6x = 108
x^2 + 6x - 108 = 0
using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a) with a=1, b=6 and c=-108
Find the line's slope and a point on the line.
y-3=3(x+4)
Answers
Answer:
y=3x−9
Step-by-step explanation:
Share #5000 in the ratio of #2000 to #3000 among John and chinedu what percentage of the money does each boy Receive.
Answers
Help me with this question please!!!
Answers
Mia's total profit for the month is given as follows:
$200.
How to obtain the profit function?The profit function is obtained as the subtraction of the revenue function by the cost function, as follows:
P(x) = R(x) - C(x).
From the table given in this problem, the revenue and the costs are given as follows:
Revenue of $9,500.Cost of 9000 + 300 = $9,300.Hence the profit is given as follows:
9500 - 9300 = $200.
As the profit is positive, it is in fact a profit(gain) and not a loss.
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Daniela has a three-season acting contract for a new TV show. Her pay for Season 1 iscp dollars. Then, her pay will increase by 5 percent from Season 1 to Season 2 and by 10 percent from Season 2 to Season 3. Which of the following represents Daniela's Season 3 pay in terms of p?
Answers
1.15p is the expression which represents Daniela's Season 3 pay in terms of p
To find Daniela's Season 3 pay in terms of p, we need to calculate the pay increase for each season.
In Season 2, her pay increases by 5 percent, which means she will receive 105 percent (or 1.05) of her Season 1 pay.
In Season 3, her pay increases by 10 percent from Season 2, so she will receive 110 percent (or 1.10) of her Season 2 pay.
To express Daniela's Season 3 pay in terms of p, we multiply the Season 1 pay (p) by the pay increase factors for Season 2 and Season 3:
Season 2 pay = 1.05p
Season 3 pay = 1.10(1.05p) = (1.10)(1.05)p
Simplifying the expression, we get:
Season 3 pay = 1.155p
Therefore, 1.15p is the expression which represents Daniela's Season 3 pay in terms of p
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9 ft
17 ft
11 ft
9 ft
15 ft
8 ft
5 ft
What is the surface area of the figure?
Answers
The surface area of a three dimensional shape is the total area of all of the faces. To find the surface area of a shape, we find the area of each face and add them together. E.g. The measurements here are in centimetres so the surface area is measured in square centimetres ( c m 2 ) (cm^2) (cm2)
triangle-
Base Surface Area = 112
= 121 feet2
Lateral Surface Area =
2×11× √
( 11 )2 + 72
2
= 195.84943196241 feet2
Total Surface Area = 316.84943196241 feet2
bottom bit-
Surface Area = 2×(15×5 + 15×8 + 5×8) = 470 feet2
If a student spent $100 on materials, how much would they spend on books and lab manuals?
Answers
The student would spend $18 on books and lab manuals.
How much is spend on books and lab manuals?An expenditure refers to the spending of money on something or the money that is spent on something.
Total Expenditure = Lab fee + Materials fee + Tuition + Books and lab manuals + Tools
Total Expenditure = 8% + 10% + 38% + 18% + 26%
Total Expenditure = 100%
We will calculate the amount spent on books and lab manuals. The amount spent on books and lab manuals is:
= (Books and lab manuals percentage / Total Expenditure percentage) * $100
= (18% / 100%) * $100
= 0.18 * $100
= $18.
Missing details:
On pie chart for School Expenditures; Lab fee = 8% Materials fee =10% Tuition = 38% Books and lab manuals = 18% Tools = 26%
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The density of milk is 1.03g/cm3. What is the mass of 405 cm3 of milk?
A, 393.2
B, 1016.2
C, 206.23
D, 417.15g
Answers
The mass of the milk with a density of 1.03 g/cm³ is 417.15 g.
What is the mass of the milk given the volume and desnity?Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given that:
Density p = 1.03 g/cm³Volume = 405 cm³Mass m = ?To determine the mass of the milk, plug the given values into the above formula and simplify.
p = m / v
m = p × v
m = 405 × 1.03
m = 417.15 g
Therefore, the mass is 417.15 grams.
Option D) 417.15 g is the correct answer.
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11. Victor spins the spinner below. Determine the approximate probabilities. Show your work
11a. P(quadrilateral) A. 3% B. 67% C. 0.5 D. 1/3
11b. P ( polygon with at least 5 sides) A. 3% B. 67% C. 0.5 D. 1/3
Answers
The probability of spinning a quadrilateral is 1/3 and probability of spinning a polygon with at least 5 sides is 0.5
What is probability?Probability is a measure of the likelihood of an event to occur.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
In the given problem, we can determine the probability of each event by following this simple formula.
a. The probability of spinning a quadrilateral.
P(quadrilateral) = 2 / 6 = 1/3
NB: A quadrilateral is any figure or shape with four sides.
b. The probability of a polygon with at least 5 sides.
P(polygon > 5 sides) = 3/6 = 1/2
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HELPPPP!!
can someone tell me how they got five as an answer in the image i attached !!!
Answers
The number of unique preferences represented in the table is given as follows:
B. Five.
What are unique outcomes?Unique outcomes are the outcomes that appear in a data-set, however we only count them twice.
For example, if João and Elisa are Buffalo Bills fans, while Chanel and Laura are Atlanta Falcons fans, we have two unique outcomes(Bills and Falcons fans).
Hence the outcomes for this problem is given as follows:
Jamil, Krista and Luke -> voters 1, 3 and 6.Krista, Luke, Jamil -> voter 2.Luke, Krista, Jamil -> voter 4.Jamil, Luke, Krista -> voter 5.Krista, Jamil, Luke -> voter 7.Hence the number of unique outcomes is given as follows:
5.
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FIND THE VALUE PLESAE ANSWER QUIK
Answers
Answer: The value of X is 12.
Step-by-step explanation:
K and M are parallel lines so,
6x-13 = 4x+11
Subtract 4x from both sides,
2x-13 = 11
Add the 13 to both sides,
2x = 24
Divide by 2,
x = 12
:).
Answer:
x = 12
Step-by-step explanation:
in practice they are opposite angles, they have the same value, we solve with an equation
6x - 13 = 4x + 11
2x = 11 + 13
2x = 24
x = 24 : 2
x = 12
For the function f(x)=x² + 2x-35 solve the following. f(x) ≤0
Answers
Solution of function is,
⇒ x ∈ [- 7, 5]
We have to given that;
The function is,
⇒ f(x) = x² + 2x - 35
We can simplify for f (x) ≤ 0 as;
⇒ f(x) = x² + 2x - 35
⇒ x² + 2x - 35 ≤ 0
⇒ x² + 7x - 5x - 35 ≤ 0
⇒ x (x + 7) - 5 (x + 7) ≤ 0
⇒ (x + 7) (x - 5) ≤ 0
⇒ x ∈ [- 7, 5]
Thus, Solution of function is,
⇒ x ∈ [- 7, 5]
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Bir saat 4:15 saat ve dört yarım saat kaç şey kaç saat eder
Answers
Answer:
dört yarım saat 2 saattir
Step-by-step explanation:
Which of the following statements are true regarding the reflection of A(1 1/2,−2) ? Select all that apply.
PLEASEE HELPP MEE!!!!
Answers
Answer: Hey i'd love to help you can you please provide the choices that are given?
Step-by-step explanation:
South Pole Edition
Your Outdoor Adventures class is providing guidance to a group that is on an expedition to the South Pole. There are 5 people on the expedition.
Due to the extreme climate and conditions, each person in the group needs to consume 6000 calories per day. The table shows the three foods that will make up their total daily calories, along with the number of calories per unit and the daily needs by percentage.
(chart is in the photo i provided)
The map shows the current location of the group, as well as the location of the South Pole and the base camp. Each unit on the grid represents 5 miles. In the question that follow, you will determine whether the group has enough food to reach the South Pole and return to base camp.
Question:
The group thought there was enough food for all 5 group members to complete the trip, with each person getting the required 6000 calories per day. They discover that 2 of the crates they brought are missing.
Each crate contains
•80 biscuits
•50 packages of pemmican
•10 packages of butter and cocoa
Use the map, create a plan for the rest of the trip that includes taking as many group members as possible to the South Pole, while sending the rest of the group members directly back to base camp. Remember that each person must have 6000 calories of food per day until he or she gets back to base camp.
Answers
The group does not have enough food to complete the trip with all five members. By sacrificing one member's trip to the South Pole and carefully rationing the food, the group can ensure that each person has enough food to complete the trip safely.
How did we arrive at this assertion?According to the given chart, calculate that each crate contains a total of 48000 calories. Therefore, two missing crates result in a total loss of 96000 calories (48000 x 2).
Determining whether the group has enough food to reach the South Pole and return to base camp, calculate the total number of calories required for the entire trip. Supposing a round trip of 10 days to the South Pole and back, the total number of calories required would be:
Total Calories = (6000 calories/person x 5 people x 10 days) x 2 (round trip)
Total Calories = 600,000 calories
To cover for the lost calories, the group would need to sacrifice one member's trip to the South Pole and send them directly back to base camp. This would leave four members to continue to the South Pole, where they would have to ration their food carefully to make sure they have enough for the entire trip.
Below is a plan to ensure enough food:
Day 1-2:
All five members travel together to position (2,1) and set up camp.Each member would consume 6000 calories per day.Total calories consumed: 5 people x 6000 calories x 2 days = 60,000 caloriesDay 3-5:
Four members (let's call them A, B, C, and D) continue to the South Pole while one member (let's call them E) returns to base camp.E would need 6000 calories per day to return to base camp.Total calories consumed by E: 1 person x 6000 calories x 3 days = 18,000 caloriesA, B, C, and D would have to consume 15000 calories per day (60000 calories ÷ 4 people ÷ 2 days) to make up for the lost calories.Total calories consumed by A, B, C, and D: 4 people x 15000 calories x 3 days = 180,000 caloriesDay 6-7:
A, B, C, and D reach the South Pole and set up camp.They would need 6000 calories per day for 2 days.Total calories consumed: 4 people x 6000 calories x 2 days = 48,000 caloriesDay 8-10:
A, B, C, and D return to position (2,1) and pick up E on the way.They would need 6000 calories per day for 3 days.Total calories consumed: 5 people x 6000 calories x 3 days = 90,000 caloriesAdd up all the total calories consumed:
60,000 + 18,000 + 180,000 + 48,000 + 90,000 = 396,000 calories
This is less than the total calories required, which was 600,000 calories. Therefore, the group does not have enough food to complete the trip with all five members. By sacrificing one member's trip to the South Pole and carefully rationing the food, the group can ensure that each person has enough food to complete the trip safely.
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