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4 years ago

What is the measure of

Mathematics

2 answers:

blondinia [14]4 years ago

8 0

The diagonal square of the pyramid. It is the red one but 5x+1 is y1 make me a sandwich

natka813 [3]4 years ago

6 0

measure of what you have not finished the question

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If f(x)=2x+1f(x)=2x+1f, left parenthesis, x, right parenthesis, equals, 2, x, plus, 1 and g(x)=x^2+7g(x)=x

nadya68 [22]

The value of the composite function f(g(x)) is 2x^2 + 15

<h3>How to evaluate the composite function f(g(x))?</h3>

The functions are given as:

f(x) = 2x + 1

g(x) = x^2 + 7

We have the function f(x) to be

f(x) = 2x + 1

Substitute g(x) for x in the equation f(x) = 2x + 1

So, we have

f(g(x)) = 2g(x) + 1

Substitute g(x) = x^2 + 7 in the equation f(g(x)) = 2x + 1

f(g(x)) = 2(x^2 + 7) + 1

Open the brackets

f(g(x)) = 2x^2 + 14 + 1

Evaluate the sum

f(g(x)) = 2x^2 + 15

Hence, the value of the composite function f(g(x)) is 2x^2 + 15

Read more about composite function at

brainly.com/question/10687170

#SPJ1

Complete question

if f(x) = 2x + 1 and g(x) = x^2 + 7

which of the following is equal to f(g(x))

8 0

1 year ago

Solve the equation.

elena55 [62]

Answer:

C: $x=-3$ or $x=4$

Step-by-step explanation:

To solve the equation $x^2-x-12=0$ we need to factor it

We are looking for two numbers that when multiplied give -12 and when added give -x

This means that when factored, the equation would be $(x-4)(x+3)=0$

Now we can set each of these equal to 0, which means that at

$x=-3$ and $x=4$ , the equation will equal 0

4 0

4 years ago

A community center is trying to raise $1680 to purchase exercise equipment. The center is hopping to receive equal contributions

goblinko [34]

Answer:

x = 1680 / N, where N is the number of people and x the amount each person has to give for equal contribution. So for N = 10 ==> x = 168.

Step-by-step explanation:

8 0

3 years ago

Happy Tuesday! Looking for some help with my geometry.

svetlana [45]

Answer:

cos 59° = x/16
x = 16 cos 59°
x = 8.24

BC is given 23 mi

Maybe AB is needed

AB = √34² + 23² = 41 (rounded)

BC² = AB² - AC²
BC = √(37² - 12²) = 35

Let the angle is x

cos x = 19/20
x = arccos (19/20)
x = 18.2° (rounded)

See attached

Added point D and segments AD and DC to help with calculation

BC² = BD² + DC² = (AB + AD)² + DC²

Find the length of added red segments

AD = AC cos 65° = 14 cos 65° = 5.9
DC = AC sin 65° = 14 sin 65° = 12.7

Now we can find the value of BC

BC² = (19 + 5.9)² + 12.7²
BC = √781.3
BC = 28.0 yd

All calculations are rounded

5 0

3 years ago

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standar

zysi [14]

Answer:

A sample of at least 68 bulbs is needed to be 96% conﬁdent that our sample mean will be within 10 hours of the true mean.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.96}{2} = 0.02$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.02 = 0.98$ , so $z = 2.055$

Now, find the margin M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$\sigma = 40, M = 10$

$M = z*\frac{\sigma}{\sqrt{n}}$

$10 = 2.055*\frac{40}{\sqrt{n}}$

$10\sqrt{n} = 82.2$

$\sqrt{n} = 8.22$

$n = 67.6$

A sample of at least 68 bulbs is needed to be 96% conﬁdent that our sample mean will be within 10 hours of the true mean.

6 0

3 years ago