(NOT A MULTIPLE CHOICE)

Suppose a civic engineer wants to conduct a survey to find out if residents of a city would be in favor of widening one of the city's roadways for increased traffic flow

a. Would a sample consisting of residents who utilize that roadway to travel to work each morning be representative? Explain.

b. Would a sample consisting of residents who live along that roadway be representative? Explain.

c. Would a random sample of homeowners in the city be representative? Explain.

SOLUTION:

We are to find the volume of the given pyramid;

The volume of the pyramid is;

CONCLUSION:

The volume of the given pyramid is 64 cubic yards.

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Answer:

B is the correct answer.

Step-by-step explanation:

10 times 10= 100

Then, 100 times 10 equals 1,000.

The ratio of the distance Jamal ran to the distance Lonnie ran is 4:1.

Note that 1 yard = 3 feet

Since Jamal ran a distance of 360 feet, this will be converted to yard and this will be: = 360/3 = 120 yards

Lonnie ran a distance of 30 yards.

Then the ratio of the distance that Jamal ran to the distance Lonnie ran all be: = 120/30 = 4/1 = 4:1

The ratio of the distance is 4:1

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Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

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Answer:

12

Step-by-step explanation:

The second diagram is most helpful for finding the surface area.

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Answer:So that's the change in Y. Now notice that X is increasing. By one unit each time. So we can calculate the slope. The slope is the change in Y divided by the change in X

Step-by-step explanation:

hnAnswer:

gjunn

Step-by-step explanation:

Answer:

en un menos de 9 meses

ya que es desmunusion es de 0

Answer:342.084

Step-by-step explanation:

If the temperature was 87 degrees, the energy consumption would be approximately 341.184.

The equation provided is:

y = 3.317x + 53.505

where:

y represents energy consumption

x represents temperature

You want to determine the energy consumption when the temperature is 87 degrees (x = 87).

Plug the value of x into the equation:

y = 3.317 * 87 + 53.505

Now, perform the calculations:

y = 287.679 + 53.505

y = 341.184

So, if the temperature was 87 degrees, the energy consumption would be approximately 341.184.

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Therefore , the solution of the given problem of equation comes out to be  the two gyms' combined fees will be identical after six months of membership.

Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this instance, normalization results in b + 7 rather than a singular formula that divides 12 through two parts as well as may be employed to evaluate data obtained from y + 7.

Here,

Assume that x is the total number of months that each gym's registration is valid.

The overall cost for Community Gym after x months can be calculated as follows:

=> C(x) = 50 + 55x

After x months, the overall expense for Ultra Sports Gym can be determined as follows:

=> U(x) = 20 + 60x

The number of months x for which the combined expenses for the two gyms are equal is what we're looking for. In order to find x, we can make the two equations equal to one another as follows:

=>  C(x) = U(x)

=>  50 + 55x = 20 + 60x

After finding x, we obtain:

=>  5x = 30

=> x = 6

As a result, the two gyms' combined fees will be identical after six months of membership.

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Given:

Income tax deducted by 20% on the first 35300

Above the balance is 40%

Find:Total income tax

Sol:.

(a)

First 35300 rate is 20% then amount is:

40% above the 35300 then:

Tax is 40% of 29700

So total tax is:

So net income tax for this year is 18940.

(b)

After credits 3534 then net pay for the year is:

Net pay for the year is 15406

Answer:

Hill doctoral tricot trivial paint Tahiti he who Olney of Accokeek if Dogtown k park pectin rabbit tabernacle numbed.

Answer:

Step-by-step explanation:

The volume is found by multiplying all the sides of the rectangular shape.

Thus the volume = 6 * 8 * 10 = 480 cubic feet

Hope that helps!

Answer:

480 cubic feet

Step-by-step explanation:

The volume of any prism is Bh, where B = AREA of the base and h = height of prism.

We're given:

Now, we solve the volume.

Therefore, the answer is 480 cubic feet.

The function h(x) to represent the height of the rectangular prism is h(x) = x.

What is a rectangular prism?

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape.

Let's break down the problem -

The height of the rectangular prism is x cm.

The length of the base is 5 cm less than the height.

Therefore, the length of the base is (x-5) cm.

The width of the base is 1 cm more than the height.

Therefore, the width of the base is (x+1) cm.

We can now use the formula for the volume of a rectangular prism -

Volume = length × width × height

Substituting the values we have -

Volume = (x-5) cm × (x+1) cm × x cm

Simplifying -

Volume = (x² - 4x - 5) cm³

We can also use the formula for the volume to solve for the height -

height = Volume / (length × width)

Substituting the values we have -

height = (x² - 4x - 5) cm³ / [(x-5) cm x (x+1) cm]

Simplifying -

height = (x² - 4x - 5) cm³ / (x² - 4x - 5) cm²

height = x cm

Therefore, the function h(x) is - h(x) = x.

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For the given data set of temperatures, the median temperature is 72.5 degree Fahrenheit.

In order to find the median temperature, we first need to arrange the temperatures in order from lowest to highest:

The temperatures arranged in order is : {66, 70, 72, 72, 73, 75, 79, 81}

There are 8 temperatures in total, which is an even-number, so the median will be the average of fourth and fifth day temperature.

In this case, the temperature of the fourth day is 72, and fifth day is 73,

The average will be = (72+73)/2 = 72.5,

Therefore, the median high daily temperature in the city is 72.5 degrees Fahrenheit.

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The given question is incomplete, the complete question is

The data set shown below represents the distribution of daily high temperatures in a city for 8 days.

79,73,72,70,72,66,81,75.

What is the median high daily temperature, in degrees Fahrenheit, in the city?

Answer:-2

Step-by-step explanation:

It’s not -6b because that is showing that it’s getting subtracted

Hope I helped

Answer:

Jeffery because the other dude go the 2 numbers wrong (he put the x coordinates on y and y on x)

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Mrs. Roger's class sold 21 soda bottles, and Mrs. Magoo's class sold 42 candy bars ,Mrs. Roger's class earned more money. Mrs. Roger's class earned $52.50, while Mrs. Magoo's class earned $50.40. Therefore, Mrs. Roger's class earned $2.10 more than Mrs. Magoo's class.

(a) Let x be the number of soda bottles sold by Mrs. Roger's class, and y be the number of candy bars sold by Mrs. Magoo's class. We can create a system of equations based on the information given:

Equation 1: 2.5x + 1.2y = 102.9 (the total amount earned by both classes)

Equation 2: x + y = 63 (the total number of items sold by both classes)

To solve for x and y, we can use substitution or elimination method. Using substitution, we can solve for x in Equation 2: x = 63 - y. Then we substitute this value of x in Equation 1:

2.5(63-y) + 1.2y = 102.9

Simplifying and solving for y, we get:

157.5 - 2.5y + 1.2y = 102.9

-1.3y = -54.6

y = 42

Substituting y=42 in Equation 2, we get:

x = 63 - y = 63 - 42 = 21

Therefore, Mrs. Roger's class sold 21 soda bottles, and Mrs. Magoo's class sold 42 candy bars.

(b) To find out which class earned more money, we can calculate the total earnings for each class:

Mrs. Roger's class: 2.5(21) = $52.50

Mrs. Magoo's class: 1.2(42) = $50.40

Mrs. Roger's class earned more money.

(c) Mrs. Roger's class earned $52.50, while Mrs. Magoo's class earned $50.40. Therefore, Mrs. Roger's class earned $2.10 more than Mrs. Magoo's class. This could be because the price per item for soda bottles was higher than for candy bars. Additionally, it's possible that the students in Mrs. Roger's class were more motivated to sell their items or had a larger network of potential buyers. The $2.10 difference may seem small, but it can add up over time and can make a difference in achieving the fundraising goals for the school.

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The correct answer is A: 600 <= money <= 2822.4.

This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Answer:

\(x = \frac{1}{3} \)

Step-by-step explanation:

*Move terms to the left and set equal to zero:

4㏒(√x) - ㏒(3x) - ㏒(x²) = 0

*simplify each term:

㏒(x²) - ㏒(3x) - ㏒(x²)

㏒(x²÷x²) -㏒(3x)

㏒(x²÷x² / 3x)

*cancel common factor x²:

㏒(\(\frac{1}{3x}\))

*rewrite to solve for x :

10⁰ = \(\frac{1}{3x}\)

1 = \(\frac{1}{3x}\)

1 · x = \(\frac{1}{3x}\) · x

1x = \(\frac{1}{3}\)

*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:

x = \(\frac{1}{3}\)

Answer:

f(3) = 9

Step-by-step explanation:

From the table, when can see that when x is 3, f(x) is 9.

Therefore, f(3) = 9

Answer:

\(f(3)\)=9

Step-by-step explanation:

\(f(x)\) is x times a function.

so if you look at the table on the 'x' side and go down the table until you reach '3' and see what number on the 'f(x)' side corresponds with it, you will see '9'

so \(f(3) = 9\)

and that means your answer is D

Answer:

x>24

Step-by-step explanation:

Solve like a normal equation :)

-2x<-48

Now we divide.

-x<-24

Note: Whenever dividing by a negative, you have to flip the sign of the inequality!

x>24

Answer:

x<24

Step-by-step explanation:

take 7 from both sides of the equation

-2x+7-7<-41-7

-2x<-48

then divide both sides by -2 (when you do this the sign flips)

x>24

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Hi tag brainliest ❣️

Thanks

Since the shaded area equal 4

our answer is A

that is the number of shaded area ÷ the total number of points

-

Answer:

Toes are tasty grrrr bark bark

Answer:

12x the second -12x -16

Step-by-step explanation:

Solving systems of equations with 3 variables is very similar

Answer:

[3,2,7]

Step-by-step explanation:

Answer:

i) Given

ii) Definition of angle bisector

iii) angle addition

iv) Substitution

v) Combine like terms

Mark me brainliest pls

Answer:

1) Given

2) Definition of Angle Bisector

3) Angle Addition

4) Substitution

5) Combine Like Terms

Step-by-step explanation: Hope this helps!

Answer:

5 in^2

Step-by-step explanation:

2x2 for the square = 4 in

1x2/2 for the triangle = 1 in

Answer:

so find the area of the swuare first. 2 times 2 = 4. then you have to add that to the area of the triangle which is 1/2 times base times height. We know that the height is 1 and the base is 2 (from the square's common side shared) so its gonna be 2 times 1 which is 2 divided by 2 which is one soo its 4+1=5

so the answer is 5 inches squared

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation: