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3 years ago

7 ^ 8 times 7 ^ 3 times 7 ^ 4 / 7 ^ 9 times 7 ^ 5

Mathematics

1 answer:

Alex777 [14]3 years ago

4 0

Answer:

7^8 =5764801 * 7^3 =343 * 7^4 =2401 ÷ 7^9 = 40353607 * 7^5 =16807

5764801 *343 *2401 ÷ 40353607 *16807

=4747561509943 ÷ 678223072849 = 7

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a coin lands on heads 200 times. the relative frequency of heads is 0.4. how many times was the coin thrown?

Kazeer [188]

Answer:

The number of times coin thrown was 500.

Step-by-step explanation:

Given:

A coin lands on heads 200 times. the relative frequency of heads is 0.4.

Now, to find the times coin was thrown.

Let the number of times coin thrown was be $x.$

Relative frequency = 0.4.

Number of lands on heads = 200.

So, to get the number of times coin was thrown we put formula:

$Relative\ frequency=\frac{Number\ of\ lands\ on\ heads}{Number\ of\ times\ coin\ thrown}$

$0.4=\frac{200}{x}$

By cross multiplying we get:

$0.4x=200$

Dividing both sides by 0.4 we get:

$x=500.$

Therefore, the number of times coin thrown was 500.

7 0

3 years ago

Read 2 more answers

Jamisha is solving the equation 4 ( x − 2 ) = 34 for x . Her work is shown in the table.

shtirl [24]

Answer:

Step-by-step explanation:

4x -8 = 34

4x = 42

x = 42/4 = 21/2 = 10.5

3 0

2 years ago

y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6 x = –4 What is the s

tatiyna

Answer: (-4,-8)

Step-by-step explanation: I got a 100% on the quiz

8 0

3 years ago

Read 2 more answers

For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th

alexira [117]

Answer:

The inner function is $h(x)=4x^2 + 8$ and the outer function is $g(x)=3x^5$ .

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

Step-by-step explanation:

A composite function can be written as $g(h(x))$ , where $h$ and $g$ are basic functions.

For the function $f(x)=3(4x^2+8)^5$ .

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have $4x^2+8$ inside parentheses. So $h(x)=4x^2 + 8$ is the inner function and the outer function is $g(x)=3x^5$ .

The chain rule says:

$\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)$

It tells us how to differentiate composite functions.

The function $f(x)=3(4x^2+8)^5$ is the composition, $g(h(x))$ , of

outside function: $g(x)=3x^5$

inside function: $h(x)=4x^2 + 8$

The derivative of this is computed as

$\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4$

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

3 0

3 years ago

An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second

Elis [28]

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:

For: ax2+ bx + c

x =[ -b ± √b²-4ac] /2a

Replacing with the values given:

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:

x = [ -48.6 + 69] /-32 = -0.6375

Negative:

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.

8 0

2 years ago

7 ^ 8 times 7 ^ 3 times 7 ^ 4 / 7 ^ 9 times 7 ^ 5​

7 ^ 8 times 7 ^ 3 times 7 ^ 4 / 7 ^ 9 times 7 ^ 5