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3 years ago

Fundamental Counting:

Mathematics

1 answer:

arsen [322]3 years ago

4 0

32 becuas you have to go six times four and then 4 times 2 and then add them together

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Find the surface area of the triangular prism shown below

Varvara68 [4.7K]

Answer:

174 ft^2

Step-by-step explanation:

$area = 2 \times 8 \times 3 + 2 \times 7 \times 5 + 7 \times 8 \\ = 48 + 70 + 56 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 174 \: {ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

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3 years ago

F=f (1-v/s) change the subject of the formula into v

Artyom0805 [142]

Changing the subject of the formula into v means expressing v in terms of the other given variables. So given the original equation, as shown below, we can rearrange it so that we have v isolated on one side.

$F = f(1 - \frac{v}{s})$
$\frac{F}{f} = 1 - \frac{v}{s}$
$\frac{v}{s} = 1 - \frac{F}{f}$

To isolate v, we can just multiply s to both sides and come up with the final equation below.

$v = s(1 - \frac{F}{f})$

Thus, we have v = s(1 - F/f) with v as the subject of the formula.

Answer: v = s(1 - F/f)

8 0

3 years ago

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many

Lostsunrise [7]

Answer:

Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.

Step-by-step explanation:

4 0

3 years ago

The function h(x) has an x-intercept of 2 and a y-intercept of 8. what is the slope of h(x)

Mekhanik [1.2K]

Answer:

-4

Step-by-step explanation:

The slope of a function f(x) passing through two points of coordinates $(x_1,y_1)$ and $(x_2,y_2)$ is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

Therefore, in order to find the slope of the function h(x) of this problem, we have to find the coordinates of 2 points.

We know that h(x) has an x-intercept of 2: the x-intercept is the point where the function crosses the x-axis, so the coordinates of this point are

$(2,0)$

Because at x = 2, the value of y is zero.

We also know that h(x) has an y-intercept of 8: the y-intercept is the point where the function crosses the y-axis, so the coordinates of this point are

$(0,8)$

Because at x = 0, the value of y is 8.

Therefore, we can now use these 2 points to calculate the slope of the function:

$m=\frac{8-0}{0-2}=-4$

6 0

3 years ago

The first person to solve this correctly gets 40 points and brainliest!!!

puteri [66]

Answer:

0.36363.....

repeating

Step-by-step explanation:

given :

total songs downloaded = 44

total favorite band songs = 16

number of favorite songs out of total songs downloaded

= total favorite band songs ÷ total songs downloaded

= 16 ÷ 44

= 0.3636363636363636363... (answer for part A)

by observation, we can see that the decimals 36 repeats over and over again and never stops. Hence we can say that the decimal is repeating (Answer for part B)

4 0

3 years ago