3 years ago

Write thirty -eight and ninety-seven hundredths kilograms in standard form

Mathematics

1 answer:

frez [133]3 years ago

3 0

38.97 would be standard form

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Use the system of equations to answer the questions.

koban [17]

Answer:

2x + 3(8 - 3x) = 3

x = 3

y = -1

Step-by-step explanation:

2x + 3y = 3

y = 8 – 3x

2x + 3(8 - 3x) = 3

2x + 24 - 9x = 3

7x = 21

x = 3

y = 8 - 3(3)

y = -1

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3 years ago

The store manager ordered402 baseball caps and 122 ski caps. Estimate the total numbers of caps the manager ordered

Leni [432]

520 is the estimated answer

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3 years ago

The perfect order is the sum of ______. A. the sum of the percentages of its individual dimensions B. the average of the percent

tino4ka555 [31]

Answer:

It's <u>option C. the product of the percentages of its individual dimensions</u>

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3 years ago

Jamila deposits $800 in an acount that earns yearly simple interest at a rate of 2.65%. How much money is an account after 3 yea

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In 3.75 years, you will have $865.30

Step-by-step explanation:

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2 years ago

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

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2 years ago