The surface area of the square pyramid is 84 square inches. The side length of the base is 6 what is the value of x

ANSWER:

STEP-BY-STEP EXPLANATION:

We can see that the vertex and the focus have the same coordinate in x, therefore, the equation of the parabola has the following form:

Where (h, k) is the vertex and p is the focal length, which we calculate as follows:

Now, we replace the vertex and the equation would finally be:

The solution of linear equations is (x, y) = (-0.8905, 0.708).

To solve this system of linear equations by elimination, first multiply both equations by the same number so that when you add the equations together, one of the variables is eliminated. In this case, we'll multiply the first equation by 3 and the second equation by 8.

8(8x+3y=-5)

3(3y=x+4)

24x + 9y = -15

24y = 8x + 32

Now add the two equations together:

24x + 24y = -15 + 32

24x + 24y = 17

Simplifying this equation, we get:

24y = 17

y = 17/24

y = 0.708

Now, plug in the value of y into one of the original equations to solve for x. We'll use the first equation:

8x + 3(0.708) = -5

8x + 2.124 = -5

8x = -7.124

x = -7.124/8

x = -0.8905

Therefore, the solution to the system of linear equations is (x, y) = (-0.8905, 0.708).

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The interquartile range (IQR) is a measure of statistical dispersion, specifically the range between the first quartile (Q1) and the third quartile (Q3) in a dataset. To calculate the interquartile range for the given dataset (3, 4, 3, 9, 3, 5, 8, 5), we follow these steps:

Step 1: Arrange the dataset in ascending order: 3, 3, 3, 4, 5, 5, 8, 9.

Step 2: Calculate the median (Q2), which is the middle value of the dataset. In this case, the median is (4 + 5) / 2 = 4.5.

Step 3: Calculate the lower quartile (Q1), which is the median of the lower half of the dataset. In this case, the lower half is (3, 3, 3, 4), and the median of this subset is (3 + 3) / 2 = 3.

Step 4: Calculate the upper quartile (Q3), which is the median of the upper half of the dataset. In this case, the upper half is (5, 5, 8, 9), and the median of this subset is (5 + 8) / 2 = 6.5.

Step 5: Calculate the interquartile range (IQR) by subtracting Q1 from Q3: IQR = Q3 - Q1 = 6.5 - 3 = 3.5.

Therefore, the interquartile range for the given dataset is 3.5.

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The number 95 is composite number.

Given that, 95 is a multiple of 5.

A multiple in math are the numbers you get when you multiply a certain number by an integer.

Here, 95/5

= 19

95 is a multiple of 5, which means it is divisible by 5. Since it is divisible by a number other than 1 and itself, 95 is a composite number and not a prime number. This means that 95 has factors other than 1 and itself, which are 5 and 19.

Therefore, the number 95 is composite number.

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Answer: C

Step-by-step explanation:

Statement C is true

The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

Interquartile range =  \(\underline{Q_{3} - Q_{1}}\)

For bus drivers  = 30 - 5 = 25 miles

For teachers = 25 - 5 = 30 miles

Distance of bus drivers = distance of teachers - 5 miles

Answer:

E

Step-by-step explanation:

the only one where all the pieces of the equation have the same signs

1. The graph will represent a proportional relationship if these two following statements are correct.

2. The coordinate (x,y) represents the amount of money y earned for washing x cars.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Hence the coordinate (x,y) represents the amount of money y earned for washing x cars.

The problem is incomplete, hence the answer is given in general terms using concepts of proportional relationships.

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Answer:

40

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

4% = 0.04

In these options, 0ption D that is, Multicollinearity, is not an assumption of the regression model.

The regression model is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. There are several assumptions associated with the regression model, which should be satisfied for accurate and reliable results.

Option A, Linearity, assumes that there is a linear relationship between the independent variables and the dependent variable. It implies that the relationship can be represented by a straight line.

Option B, Independence, assumes that the observations or data points used in the regression model are independent of each other. This means that the value of one observation does not depend on or influence the value of another observation.

Option C, Homoscedasticity, assumes that the variance of the errors or residuals in the regression model is constant across all levels of the independent variables. It implies that the spread or dispersion of the residuals is consistent.

Option D, Multicollinearity, is not an assumption of the regression model. Multicollinearity refers to a high correlation between independent variables in the regression model, which can cause issues in estimating the individual effects of the independent variables.

Therefore, the correct answer is D) Multicollinearity, as it is not an assumption of the regression model.

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Answer:

5/13

Step-by-step explanation:

by using SO TO CA

H A H

sin can be obtained

You didn't include the equations.

Answer:

b.

give me a brainlist

Step-by-step explanation:

Answer:

11. D. 36

9 * 4 = 36

12. C. 7x-5y

13. B. 5

5(x-2)/(x-2)=5

14. C. 540 deg

For sum of interior angles use (n-2)*180 where n=number of sides

15. A. 70 deg

250-180 (250>180) = 70

16. D. 10

(15+13+11+9+7+5)/6 = 10

17. A. 1050

6050-5000

The smallest three-digit number divisible by the first three prime numbers (2, 3, and 5) and the first three composite numbers (4, 6, and 8) is 120.

The first three prime numbers are 2, 3, and 5. The first three composite numbers are 4, 6, and 8. In order for a number to be divisible by all six of these numbers, it must be divisible by their least common multiple (LCM).

The LCM of 2, 3, 5, 4, 6, and 8 is 120. Therefore, the smallest three-digit number divisible by the first three prime numbers and the first three composite numbers is 120.

Here is a more detailed explanation of how to calculate the LCM:

Find the prime factorization of each number.

Find the highest power of each prime factor.

Multiply the prime factors together, using the highest power for each factor.

The highest power of 2 that appears in any of the prime factorizations is 2^3.

The highest power of 3 that appears in any of the prime factorizations is 3^1.

The highest power of 5 that appears in any of the prime factorizations is 5^1.

Therefore, the LCM of 2, 3, 5, 4, 6, and 8 is 2^3 * 3^1 * 5^1 = 120.

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Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Based on this inequality, the history club can rent the meeting room for a maximum of 7 hours, as renting for any more hours would exceed their budget of $93.60.

To determine the possible amounts of time the history club can rent the meeting room, we need to set up an inequality based on the given information.

Let t represent the number of hours the room is rented. The reservation fee is $46, and there is an additional fee of $6.80 per hour. The history club wants to spend at most $93.60. So, the inequality we need to solve is:

46 + 6.80t ≤ 93.60

First, let's subtract the reservation fee from both sides of the inequality:

6.80t ≤ 47.60

Next, we need to isolate t by dividing both sides of the inequality by the hourly rate, $6.80:

t ≤ 47.60 / 6.80

t ≤ 7

Based on this inequality, the history club can rent the meeting room for a maximum of 7 hours, as renting for any more hours would exceed their budget of $93.60. Possible rental durations include any amount of time less than or equal to 7 hours.

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Answer:

a, \(Books = 315\)

b, \(Total = 20s + 45l\)

Step-by-step explanation:

Given

\(Small\ Box = 20\)

\(Large\ Box = 45\)

Solving (a): Books using 5 small and 7 large boxes;

This is calculated as follows

\(Books = Size * quantity\)

For Small box

\(Books = 20 * 5\)

\(Books = 100\)

For large box:

\(Books = 45 * 7\)

\(Books = 315\)

\(Total = 100 + 315\)

\(Total = 415\ books\)

Solving (b): s small and l large

We use the same concept as (a) above:

For Small Box

\(Books = 20 * s\)

\(Books = 20s\)

For large box

\(Books = 45 * l\)

\(Books = 45l\)

\(Total = 20s + 45l\)

Since he walks 96 meters per minute Frank will take 2400/96=25 minutes to complete the walk, then he will end by 7:10 a.m

When a positive sign is considered then the value of x is -4 and when a negative sign is considered then the value of x is -14.

Simplification is to make something easier to do or understand and to make something less complicated.

The equatiuon is (x + 9)² = 25.

Take square root on both sides, then we have

(x + 9) = ±5

For positive signs, we have

x + 9 = 5

     x = -4

For negative signs, we have

x + 9 = -5

     x = -14

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Answer:

1. -4

2. -14

Step-by-step explanation:

Edg 2022

To find the equation of the tangent line to the curve y = 9x - (6/x) at the given point (1, 3), follow these steps: 1. Find the derivative of the function: dy/dx r,

Represents the slope of the tangent line at any point (x, y) on the curve.
y = 9x - (6/x)
dy/dx = d(9x)/dx - d(6/x)/dx

Using the power rule for the first term and the quotient rule for the second term:
dy/dx = 9 - (-6/x^2)
dy/dx = 9 + 6/x^2

2. Find the slope of the tangent line at the given point (1, 3) by plugging x = 1 into the derivative:
m = 9 + 6/1^2
m = 9 + 6
m = 15

3. Use the point-slope form of a linear equation to find the equation of the tangent line:
y - y1 = m(x - x1)
where (x1, y1) is the given point (1, 3) and m is the slope:
y - 3 = 15(x - 1)

4. Solve for y to get the equation of the tangent line:
y = 15(x - 1) + 3
y = 15x - 15 + 3
y = 15x - 12

The equation of the tangent line to the curve y = 9x - (6/x) at the given point (1, 3) is y = 15x - 12.

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Answer:

10

Step-by-step explanation:

You can replace t in the equation with 1 like so 4(1)+6 using pemdas first you'd   multiply 4 by 1 which is 4 and then add 6 which is 10.

Answer:

You need to solve and get they x,x or x,y or y,y

Answer:

• 5x + 20 = 5(x + 4)

• 5(2x + 8) = 10x + 40

• 5(x + 8) = 5x + 5.8

Answer:

y= 6/5x+7

Step-by-step explanation:

y=6/5x+7 will hit (-5, 1) and will always be parallel to y=6/5x+7/5

As, the data shows an arithmetic progression. Therefore, the function that models the data is: y = 5x + 1.

1. Exponential Function y = ab* whose graph passes through the given points:

(1, 3), (2, 12)

To find the exponential function for this, we can use these two points as follows:

3 = ab1 ...(1)

12 = ab2 ...(2)

Dividing (2) by (1) we get:

12/3 = ab2/ab1

=> 4 = b

Therefore, from (1), we have:

3 = a * b¹

=> 3 = a * 1

=> a = 3

Therefore, the exponential function is:

y = 3(4)x2.

Exponential Function y = ab* whose graph passes through the given points: (1, 2), (3, 50)

To find the exponential function for this, we can use these two points as follows:

2 = ab1 ...(1)

50 = ab3² ...(2)

Dividing (2) by (1) we get:

50/2 = ab3²/ab1

=> 25 = b9

Therefore, from (1), we have:

2 = a * b¹

=> 2 = a * 1

=> a = 2

Therefore, the exponential function is:

y = 2(9)x3.

Exponential Function y = ab* whose graph passes through the given points: (-1, 10), (4, 0.31)

To find the exponential function for this, we can use these two points as follows:

10 = ab-1 ...(1)

0.31 = ab4 ...(2)

Dividing (2) by (1) we get:

0.31/10 = ab4/ab-1

=> 0.031 = b5

Therefore, from (1), we have:

10 = a * b⁻¹

=> 10 = a / b

=> a = 10 / b

Therefore, the exponential function is:

y = (10 / 5)x or y = 2x4.

Determining whether the data show an exponential relationship: 1 6 11 16 21 x 12 y

The first differences are:5, 5, 5, 5

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Answer:

(0, 75)

Step-by-step explanation:

The y-intercept is the y-coordinate of a function when x is equal to 0. In other words, it is the point at which the function crosses the y-axis.

For the equation y = 8x + 75, you plug in x = 0 to get:

y = 8(0) + 75 = 75, meaning that y = 75 when x = 0.

This gives you the y-intercept (0, 75).

Answer:

y=-8x-2

Step-by-step explanation:

Answer:

  D.  m∠C = 34, b = 25, c = 16

Step-by-step explanation:

If all you want is an answer, your friendly triangle solver can provide it. (See below)

__

When you have two angles and a side length, the law of sines can be helpful.

  b/sin(B) = a/sin(A)

  b = sin(B)/sin(A)·a = sin(119°)/sin(27°)·13 ≈ 25.04 ≈ 25

Similarly, you have C = 180° -27° -119° = 34°, so ...

  c = sin(C)/sin(A)·a = sin(34°)/sin(27°)·13 ≈ 16.02 ≈ 16

These values match answer choice D.

  m∠C = 34, b = 25, c = 16

Step-by-step explanation:

well, 5×4 IS 20.

I am not sure, what your teacher wants here.

and therefore, as a fact, 9×2 = 18.

maybe it is to show the fraction relationship between the teens of the first operation and the terms of the second.

9 = 5×9/5

2 = 4×2/4

so, 9×2 = 9/5 × 2/4 × 20 = 18/20 × 20 = 18

I consider this nonsense, but it is the only thing I can currently think of to do with these operations in relation to each other.