A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop. A coordinate plane is titled Which point represents the fourth bus stop? A. (11, 8) B. (13, 12) C. (15, 10) D. (19, 12)

The numeric value of f(a) + f(h) for f(x) = x² - 5x + 3 is given as follows:

A. f(a) + f(h) = a² + h² - 5a - 5h + 6.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is defined as follows:

f(x) = x² - 5x + 3.

Hence the numeric values are given as follows:

The only like term is the 3 for both expressions, hence the addition is given as follows:

f(a) + f(h) = a² + h² - 5a - 5h + 6.

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Answer:

d = 15

Step-by-step explanation:

9d - 3 = 8d +12

Subtract 8d from both sides:

d - 3 = 12

Add three to both sides:

d = 15

Answer:

D = 15

Step-by-step explanation:

Let me know if that helped!

Answer:

18c - 9

Step-by-step explanation:

Answer:

15 pieces

Step-by-step explanation:

a ratio of 1:3 has 4 total parts, meaning that each part is 5.

20/3 = 15 so that means he has 5 pieces of chocolate and 15 of hard candy.

Answer:

15

Step-by-step explanation:

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

Step-by-step explanation:

A coin of 25 grams contains 16 grams of copper.

Then a coin hundred grams contains (100×16)/25 = 64 grams of copper.

Hence the percentage of copper in the coin is 64%.

*I hope that this answer will help you.

Step-by-step explanation:

nickel is  9 grams out of (9 + 16) = 25 grams by weight

    9 is what percent of 25?

            9 / 25  * 100% =    36%

Answer:

red

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

\(f(-5)=2(-5)^{2} -5\)

\(f(-5)= 2(25) -5\)

\(f(-5) = 50-5\)

\(f(-5) = 45\)

Answer:

dc   ,    ab

Step-by-step explanation:

on edge 2020

Answer:

Segment AD must be congruent to segment

✔ DC

.

Segment BC must be congruent to segment

✔ AB

.Step-by-step explanation:

correct on edge nov 2020

Answer:

the true statement is that it's on the x-axis. you can tell because the point has a 0 for the y-value. meaning the point has to be sitting on the x-axis.

Step-by-step explanation:

Answer:

It is on the x-axis.

Step-by-step explanation:

Answer:

Then the width would be (x+9) and the length would be (x-1)

Step-by-step explanation:

If you factor the expression you get

\(x^2 - 8x - 9 = (x+9)(x-1)\)

Then the width would be (x+9) and the length would be (x-1)

Answer:

(x-1)  (x+9)

Step-by-step explanation:

Consider the form x2 + bx+c. Find a pair of integers whose product is c and whose sum is b In this case, whose product is  − 9 and whose sum is 8.

−1,9 Hope this helps

Answer:

C

Step-by-step explanation:

I'm pretty sure it's none..?

Answer:

41.0501 ft²

Step-by-step explanation:

Area of a Sector (Radians): A = 1/2r²∅

We are given r and ∅, so simply plug it into the formula:

A = 1/2(5.6)²(5π/6)

A = 1/2(31.36)(5π/6)

A = 15.68(5π/6)

A = 41.0501 ft²

Answer:

No

Step-by-step explanation:

Let's look at an example

24

24 is divisible by 6   24/6 = 4  

24 is divisible by 8   24/8 = 3

24 is not divisible by 48  24/48 = 1/2  which is not an integer

A mean is an arithmetic average of a set of observations. The correct option is B.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The average pay does not differ significantly since the average wage for subpopulations is not significant. As a result,  the subpopulations of mechanical and civil engineers are Not earning different salaries.

Hence, the correct option is B.

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The predicted value of the car in the year 2006 to the nearest dollar would be  $651.

The first step is to determine the rate of depreciation

g = (FV/PV)^(1/n) - 1

Where:

FV = value of the car in 2001

PV = value of the car in 1993

n = number ofyears = 8

(2700/26,300)^(1/8) - 1  = -24.76%

Now determine the value of the car in 2006

2700x ( 1 - 0.2476)^5 = $651

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Answer:

8\(\sqrt[3]{2}\)

Step-by-step explanation:

The cube root of -2 to the power of 10 is;

(-2)^10=2^10

2^10=(2^3)*(2^3)*(2^3)*2

You can factor out 2^3=8 of the cube root

So you get 8 times the cube root of 2

Answer:

16)  240.52 m²  (2 dp)

17)  73.06 ft²  (2 dp)

Step-by-step explanation:

To calculate the shaded area, subtract the area of the rectangle from the area of the circle.  (We know it's a rectangle since the opposite sides are equal in length - marked by dashes).

\(\begin{aligned}\textsf{Area of a rectangle}& =\sf width \times length\\\implies \sf A& = \sf 20 \times 21\\& = \sf 420\:\:m^2\end{aligned}\)

To find the area of the circle, first find the radius.

From inspection of the diagram, the diagonal of the rectangle is the diameter of the circle. Therefore, the radius is half the diagonal.

To find the length of the diagonal, use Pythagoras' Theorem:

\(\begin{aligned}\sf a^2+b^2 & = \sf c^2\\\implies 20^2+21^2 & = \sf c^2\\\sf c^2 & = 841\\\sf c & =\sqrt{841}\\\sf c & = 29\end{aligned}\)

Therefore:

\(\begin{aligned}\implies \sf radius & = \sf \dfrac{1}{2}c\\\\& = \sf \dfrac{1}{2}(29)\\\\& = \sf1 4.5\:m\end{aligned}\)

\(\begin{aligned}\textsf{Area of a circle} & = \sf \pi r^2\\\implies \sf A & = \sf \pi (14.5)^2\\& = \sf 210.25\pi \:\:m^2\end{aligned}\)

Finally:

\(\begin{aligned}\textsf{Shaded area} & = \textsf{area of circle}-\textsf{area of rectangle}\\& = \sf 210.25 \pi - 420\\& = \sf 240.52\:\:m^2\:(2\:d.p.)\end{aligned}\)

To calculate the shaded area, subtract the area of the square from the area of the circle.  (We know it's a square as the side lengths are equal - marked by one dash on each side length).

\(\begin{aligned}\textsf{Area of a circle} & = \sf \pi r^2\\\implies \sf A & = \sf \pi \left(\dfrac{16}{2}\right)^2\\& = \sf 64\pi \:\:ft^2\end{aligned}\)

To find the area of the square, first find the side length using Pythagoras' Theorem:

\(\begin{aligned}\sf a^2+b^2 & = \sf c^2\\\implies 2a^2 & = \sf 16^2\\\sf a^2 & = 128\\\sf a & =\sqrt{128}\\\sf a & = 8\sqrt{2}\:\:\sf ft\end{aligned}\)

\(\begin{aligned}\textsf{Area of a square} & = \sf a2\\\implies \sf A & = \sf (8\sqrt{2})^2\\& = \sf 128 \:\:ft^2\end{aligned}\)

Finally:

\(\begin{aligned}\textsf{Shaded area} & = \textsf{area of circle}-\textsf{area of square}\\& = \sf 64 \pi - 128\\& = \sf 73.06\:\:ft^2\:(2\:d.p.)\end{aligned}\)

\( \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: 900 \: }}}}}\)

To complete the job in 12 days, they need 100 workers.

We know that 30 workes can complete 1 job in 40 days, then if each worker works at a rate R, then we can write:

30*R*40 days = 1 job

R = (1/1200) job/day

Then if they need to complete the job in 12 days, the number N of workers needed is:

N*(1/1200)*12 = 1

N = (1200/12) = 100

100 workers are needed.

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Answer:

(-5,-5)

Step-by-step explanation:

Answer:

-3.64

Step-by-step explanation:

The rule that describes the transformation that Triangle ABC is rotated to create the image A'B'C' is; (x, y) → (-x, -y)

In transformation in mathematics, there are different types such as rotation, translation, dilation, reflection e.t.c

Now, from the diagram attached showing the given transformation, we see that the coordinates of the original triangle are;

A'(-1, -1)

B(1, -1)

C(0. -4)

We now see the coordinates of the transformed triangle are;

A'(1, 1)

B'(-1, 1)

C'(0, 4)

We can see that in the transformation both x and y are negative of each other. Thus, the transformation rule is; (x, y) → (-x, -y)

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Answer:

pi

Step-by-step explanation:

The equation of the graph that represent Carl’s earnings over time in hours is given by: y = 15x

The equation of a straight line is given by;

y = mx + b;

where y, x are variables, m is the slope of the graph and b is the y intercept.

Given the points from the table, we can determine the equation of the line graph using any two points.  Let y represent the money earned and x represent the time. Hence, using points (3, 45) and (10, 150):

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-45=\frac{75-45}{5-2}(x-3)\\\\y-45=15(x-3)\\\\y = 15x\)

The graph was plotted using geogebra online graphing tool.

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Hello!

4 times the sum of x and y

4 * (x + y)

it's a mutliplication

the sum of 4x and y

= 4x + y

it's a sum

Answer:one is multiplying other is some.

Step-by-step explanation:

4xy and =4xy

these two are

Answer:

obtuse

Step-by-step explanation:

a² + b² = c²

Let's use the two shorter sides as legs.

a² + b² = 31² + 54² = 961 + 2916 = 3877

c = √3877 = 62.2655...

For the triangle to be a right triangle, the third side would have to have a length of 62.2655. The actual length of the third side is 69. 69 is greater than 62.3, so the angle between the sides 31 and 54 must be greater than 90°. Therefore the triangle is an obtuse triangle.