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3 years ago

Find the missing measure. (show your work)

Mathematics

1 answer:

Daniel [21]3 years ago

4 0

2/4 = 5/x

2 • x = 5 • 4

2x = 20

x = 20/2

x = 10

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How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between

-BARSIC- [3]

The Fundamental Theorem of Calculus regarding geometry states that
$\int\limits^b_a g{(x)} \, dx = F(b)-F(a)$

Where F is the indefinite integral of $g(x)$

The first step is to integrate $g(x)$
$\int\ {4x} \, dx = \frac{4x^{1+1} }{1+1} = \frac{4x^{2} }{2} =2 x^{2}$

Then substitute the value of $b$ and $a=1$ into $2x^{2}$

$[2 (b)^{2}]-[2 (1)^{2}] = 240$
$2b^{2} -2=240$
$2b^{2}=240+2$
$2b^{2}=242$
$b^{2}= \frac{242}{2}$
$b^{2}=121$
$b=11$

Hence the limit of the area under $g(x)$ is between $a=1$ and $b=11$

6 0

3 years ago

when a linear function is graphed it passes through the points (-1,1), (1,5), and (3,9) what is the rate of change for the funct

vesna_86 [32]

Use the linear slope formula to solve for m:

m=(y2-y1)/(x2-x1)

using the points (-1,1) and (1,5) you can find the slope for the first interval:

m=(5-1)/(1-(-1))
m=4/2
m=2

you can double check by using the same formula on the second interval, which is (1,5) to (3,9).

m=(9-5)/(3-1)
m=4/2
m=2

therefore, the rate of change is 2.

5 0

3 years ago

What is f(5) if f(x) = -2x+1 ?

Anuta_ua [19.1K]

Answer:

-9

Step-by-step explanation:

-2(5)+1

=-10+1

=-9

Substitute the 5 in for x

7 0

3 years ago

Read 2 more answers

What is the 8th term of 6,2,2/3

devlian [24]

Answer:

2/729

Step-by-step explanation:

I think that is the answer I hope it helps

3 0

3 years ago

Your family loves turkey! Uncle Bill ate 1/4 of the turkey, cousin Chris ate 15% of the turkey, cousin Timmy ate 0.3 of the turk

Sladkaya [172]

(1 / 4) = .25
.25 * 100% = 25%
Uncle Bill ate 25%
Cousin Chris ate 15%
.3 * 100% = 30%
Cousin Timmy ate 30%
Little Dave ate 12%
You ate none.

Cousin Timmy ate the most, 18% of the turkey is left, and 82% of the turkey was eaten.

Defend my work in writing:

I converted my fractions and decimals to percents to find the different percents eaten for each person.

6 0

3 years ago