Determine the coordinates of the image if triangle ABC is translated 6 units down.
OA'(-5, -2), B'(3,-2), C'(-1, 2)
OA(1, 4), B'(9, 4), C'(5, 8)
OA(1, -8), B'(9, -8), C'(5. -4)
OA'(7, -2), B (15,-2), C'(11, 2)
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Answer:

$11.50

Step-by-step explanation:

15% of 10 is 1.5

10-1.5=8.5

20-8.5=11.5

The number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.

The mean, median, and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February. The mean is calculated by adding up all of the snowfall measurements and dividing that by the number of measurements. For example, if there were 4 snowfall measurements of 10, 20, 30 and 40 inches, the mean would be 25 inches (10+20+30+40 / 4). The median is the middle value of the snowfall measurements when they are arranged from least to greatest. In this example, the median would be 25 inches as well. The mode is the most frequently occurring value among the snowfall measurements. In this example, the mode is also 25 inches.

The mean, median and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February, with the mean and median being calculated by adding up all of the snowfall measurements and dividing that by the number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.

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Answer:

Katherine Johnson loved math. Early in her career, she was called a “computer.” She helped NASA put an astronaut into orbit around Earth. And then she helped put a man on the Moon. Katherine studied how to use geometry for space travel. She figured out the paths for the spacecraft to orbit (go around) Earth and to land on the Moon. NASA used Katherine's math, and it worked! NASA sent astronauts into orbit around Earth. Later, her math helped send astronauts to the Moon and back. NASA could not have done these things without Katherine Johnson and her love for math!

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

If the bell tolls every 30mins on the hour and at half past the hour, then the bell will toll at 12 noon, 12:30pm, 1pm, 1:30pm, 2pm, 2:30pm and 3pm which is 7 times.

i hope is help

Answer: 3km/h

Step-by-step explanation:

15km per 5h, which is 3km per 1h. This is pretty easy. I don't know what you want for her average speed like in unit (e.g 1 hour). If you are asking for the hour unit it is 3km/h

Answer:

x=3+\(\sqrt{23}\), x=3-\(\sqrt{23}\)

Step-by-step explanation:

I will edit it in a minute

Answer:

11 breads

Step-by-step explanation:

Note that:

1 bread recipe = 1 bread

From the above question, we know that:

2/3 cups of walnut = 1 bread

7 1/2 cups of walnut = x breads

Cross Multiply

2/3 cups × x breads = 7 1/2 cups × 1 bread

x breads = 7 1/2 cups × 1 bread/2/3 cups

x breads = 7 1/2 ÷ 2/3

x breads = 15/2 ÷ 2/3

x breads = 15/2 × 3/2

x breads = 45/4

x breads = 11 1/4 breads

Maximum full recipe = 11 breads.

Therefore, the MAXIMUM numbers of full recipe of walnut bread the baker can make is 11 breads.

Answer:

the 2nd

Step-by-step explanation:

\( \sqrt[5]{4} \times \sqrt{2 } \\ {4}^{ \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{2 \times \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{ \frac{2}{5} + \frac{1}{2} } \\ {2}^{ \frac{9}{10} } = \sqrt[10]{ {2}^{9} } \)

Answer:

The next answer is 6x^4

Step-by-step explanation:

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:

120

Step-by-step explanation:

all angles of a triangle add up to 180. 180-15-45= 120.

:D

brainliest pls

Given :

Measure of an angle = 15°

Measure of the second angle = 45°

Let the measure of the third angle be x.

We know that :

▪︎Sum of all angles of a triangle = 180°[angle sum property]

Which means :

\( =\tt 15 + 45 + x = 180\)

\( =\tt 60 + x = 180\)

\( =\tt x = 180 - 60\)

\(\hookrightarrow\color{plum}\tt \: x = 120°\)

Thus, the measure of the third angle = 120°

Since the sum of all these angles is equivalent to 180°[15+45+120=180] we can conclude that we have found out the correct measure of the third angle.

Therefore, the correct option is (C) 120

The price of Groupon for revenue of $300 is $4 if the expected revenue is at least $390 per day.

Probability is assigned as

x =30, 60, 120, 180

P(x) = 0.10,0.40, 0.40, 0.10

Expected sales volume:

Number of tubes x =30, 60, 120, 180

Probability P(x)= 0.10,0.40, 0.40, 0.10

Expected values are 3, 24,48,18

Total = 93 tubes

Groupon price = $390/$93 = $4.19

Jane's price for each Groupon is the daily rental income divided by the expected number of tubes rented per day. The expected number of tubes is derived by multiplying the expected number of each tube by its probability and then summing the results. 

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The equilibrium level of output in the economy can be calculated using the following formula:

Y = C + I + G + NX

Where:

Y = Equilibrium level of output

C = Consumption

I = Investment

G = Government spending

NX = Net exports

We can calculate consumption using the marginal propensity to consume (MPC) and autonomous spending (A):

C = MPC(Y - T) + A

Where:

T = Taxes (assumed to be 0 in this case)

Substituting in the given values:

C = 0.8(Y - 0) + 2000

C = 0.8Y + 2000

Substituting in the given values for investment, government spending, and net exports:

Y = 0.8Y + 2000 + 7500 + 10000 - 1000

Y = 0.8Y + 19500

Solving for Y:

0.2Y = 19500

Y = 97500

Therefore, the equilibrium level of output in the economy is $97,500.

If net exports increase by $1000, then the new value of net exports (NX) is 0.

Substituting the new value of NX into the formula:

Y = 0.8Y + 2000 + 7500 + 10000 - 0

Y = 0.8Y + 19500

Solving for Y:

0.2Y = 19500

Y = 97500

Therefore, the equilibrium level of output in the economy is still $97,500.

The multiplier is calculated as:

Multiplier = 1 / (1 - MPC)

Substituting in the value of MPC:

Multiplier = 1 / (1 - 0.8)

Multiplier = 5

Therefore, the multiplier in this case is 5.

Answer:

Yes

Step-by-step explanation:

The smaller two sides have to be greater than the biggest side.

2+8>9, so it can make a triangle.

The length of each piece of the sandwich is 0.3125 feet.

A unitary approach is a mathematical technique for finding the value of a single unit and then multiplying it by any number of other units to derive the value of the given units.

Given, Zachary's art club ordered a giant sub sandwich for a party.

Therefore, t6o obtain the length of each piece we have divide the total length of the sandwich by the total number of pieces which is,

= (5/16) feet.

= 0.3125.

So, The length of each piece is 0.3125 feet.

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For the given Z-transform X(z) = 2 + 3z^(-1) + 4z^(-2), the initial value and final value of the corresponding sequence x(n) can be determined. The initial value of x(n) is 2, and the final value of x(n) is 0.

To find the initial value of the sequence x(n), we need to calculate the coefficient of z^0 in the Z-transform X(z). In this case, the coefficient of z^0 is 2, so the initial value of x(n) is 2. To determine the final value of the sequence x(n), we need to evaluate the limit as z approaches infinity. Since the Z-transform X(z) is a rational function, the final value of x(n) can be found by evaluating the limit of the numerator divided by the limit of the denominator as z approaches infinity. In this case, as z approaches infinity, the terms 3z^(-1) and 4z^(-2) become negligible compared to the constant term 2. Therefore, the final value of x(n) is 0. In summary, the initial value of x(n) is 2, indicating the value of the sequence at n = 0, and the final value of x(n) is 0, indicating the value of the sequence as n approaches infinity.

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Answer:

$ 204

Step-by-step explanation:

f(x)=8(x-2)

if i did this right then you would substitute 30 in for x------------8 (30-2) - 20

next you would multiply 8 times 30 and 8 times -2 and you would get 240-16-20

then you would subtract and get....................... 204

hope this helps if not then pls know that i tried

Answer:

A

Step-by-step explanation:

-4/5×3/3=-12/15

2/3×5/5=10/15

-12/15-10/15= -22/15

Answer:

4:7

Step-by-step explanation:

The consonants are 7, while the vowels are 4

So, the ratio of vowels to consonant should be

4:7

Answer:

pretty sure its c

Step-by-step explanation:

Answer:

A is the answer.

Step-by-step explanation:

The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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Answer:

125 over 343 as a fraction and 0.364431 as a decimal

Step-by-step explanation:

hope this helps dont know if its right

Answer:

125/343

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

15.125 * 75% = 11.343...

Rounded, that would be 11.344.                      

                                                            ~(_8^(})

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solve for "y".

\(\stackrel{f(x)}{y}=\sqrt[3]{x^5-3}\implies \stackrel{\textit{quik switcheroo}}{x = \sqrt[3]{y^5-3}}\implies \stackrel{\textit{cubing both sides}}{x^3=y^5-3} \\\\\\ x^3+3=y^5\implies \sqrt[5]{x^3+3}=\stackrel{f^{-1}(x)}{y}\)

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-2(x - 4) = -16

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that -16 does indeed equal -16.

∴ x = 12 is a solution of the equation.

The height of plant B growing at a rate of 3.33 centimeters per week should have a height of 19.98 cms.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

First we need two points (x, y) to obtain the slope.

Assuming height to be 'y' and weeks to be 'x'.

Therefore, (0, 0) and (3, 10) are the two points.

Slope(m) = (10 0)/(3 - 0).

Slope(m) = 10/3.

Slope(m) = 3.33

Now, To obtain the y-intercept.

10 = 3(3.33) + b

b = 0.01 Or neglegible.

Therefore y = 3.3x.

Now, In the 6th week, the height of plant B will be,

y = 3.33(6).

y = 19.98 or 20 cm.

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