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2 years ago

How do you write 7.79 × 105 in standard form?

Mathematics

1 answer:

Mice21 [21]2 years ago

8 0

Answer: Heyaa! :D

Your Answer Is.. 817.95

Step-by-step explanation:

Multiply 7.79 by 105.

Hopefully this heps <em>you !</em>

<em />

- Matthew ~`

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At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.How many pounds of ground beef will b

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Answer:

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4 years ago

Find the distance between -0.5 and 1.5

stepladder [879]

Answer:

2.0

Step-by-step explanation:

Subtract the smaller number from the larger to find their difference:

1.5 -(-0.5) = 2.0

The distance between the given values is 2.0.

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3 years ago

What do we call the polynomial obtained when a given polynomial is divided by one of its factors?

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Answer:

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Step-by-step explanation:

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2 years ago

Use calculus to find the absolute maximum and minimum values of the function. (round all answers to three decimal places.) f(x)

Allisa [31]

Part A:

Given the function $f(x)=x+2\cos(x)$ , the absolute maximum or minimum occurs when $f'(x)=0$ .

$f'(x)=0 \\ \\ \Rightarrow1-2\sin{x}=0 \\ \\ \Rightarrow2\sin{x}=1 \\ \\ \Rightarrow\sin{x}= \frac{1}{2} \\ \\ \Rightarrow x=\sin^{-1}{\frac{1}{2}}= \frac{\pi}{6}$

Using the second derivative test,

$f''(x)=-2cosx \\ \\ \Rightarrow f''\left( \frac{\pi}{6} \right)=-2\cos{\left( \frac{\pi}{6} \right)}=-1.732$

Since the second derivative gives a negative number, the given function has a maximum point at $x=\frac{\pi}{6}$ .

And the maximum point is given by:

$f\left( \frac{\pi}{6} \right)=\frac{\pi}{6}+2\cos\left( \frac{\pi}{6} \right) \\ \\ =0.5236+2(0.8660)=0.5236+1.732 \\ \\ =\bold{2.256}$

i.e. $\left(\frac{\pi}{6},\ 2.256\right)$

Part B:

Given the function $f(x)=e^{-x}-e^{-2x}$ , the absolute maximum or minimum occurs when $f'(x)=0$ .

$f'(x)=0 \\ \\ \Rightarrow-e^{-x}+2e^{-2x}=0 \\ \\ \Rightarrow2e^{-2x}=e^{-x} \\ \\ \Rightarrow2e^{-x}=1 \\ \\ \Rightarrow e^{-x}=\frac{1}{2} \\ \\ \Rightarrow-x=\ln \frac{1}{2}=-0.6931 \\ \\ \Rightarrow x=0.6931$

Using the second derivative test,

$f''(x)=e^{-x}-4e^{-2x} \\ \\ \Rightarrow f''(0.6931)=e^{-0.6931}-4e^{-2(0.6931)} \\ \\ =0.5-4e^{-1.386}=0.5-4(0.25)=0.5-1 \\ \\ =-0.5$

Since the second derivative gives a negative number, the given function has a maximum point at $x=0.6931$ .

And the maximum point is given by:

$f(0.6931)=e^{-0.6931}-e^{-2(0.6931)} \\ \\ =0.5-e^{-1.386}=0.5-0.25=\bold{0.25}$

i.e. (0.693, 0.25)

3 0

3 years ago

Write and solve a system of equation

erastova [34]

First, write an equation system based on the problem
An equation for "Jami and Mami together had 32" is
⇒ j + m = 32 (first equation)
An equation for "If Mami gives Jami 5, they'll have the same amount"
⇒ m - 5 = j + 5 (second equation)

Second, simplify the equation. I simplify the second equation
m - 5 = j + 5
m = j + 5 + 5
m = j + 10

Third, subtitute m with j+10 in first equation
j + m = 32
j + j + 10 = 32
2j + 10 = 32
2j = 22
j = 11

Fourth, subtitute j with 11 in second equation
m = j + 10
m = 11 + 10
m = 21

Jami had $11, Mami had $21

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4 years ago