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2 years ago

Which expressions are equivalent to 2(4f+2g)2(4f+2g)2, left parenthesis, 4, f, plus, 2, g, right parenthesis ?

Mathematics

2 answers:

ruslelena [56]2 years ago

7 0

Answer:

The equivalent expressions are:

$8f+4g$

and

$4(2f+g)$

Step-by-step explanation:

The given expression is $2(4f+2g)$

We want to find an expression that is equivalent to the above expression.

One way to do this is to expand the parenthesis.

Recall the distributive property: $a(b+c)=ab+bc$

We apply this property to get:

$2(4f+2g)=2*4f+2*2g$

When we simplify further we get:

$2(4f+2g)=8f+4g$

Another way to this is to factor completely to get:

$2(4f+2g)=4(2f+g)$

Therefore the equivalent expressions are:

$4(2f+g)$ and $8f+4g$

goblinko [34]2 years ago

3 0

Answer:

C and D

Step-by-step explanation:

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One nanometer equals about

Orlov [11]

Answer:

$1\ \text{nanometer}=4\times 10^8$

Step-by-step explanation:

Given : One nanometer equals about 0.00000004 inches.

To find : When writing this decimal as a single-digit integer multiplied by a power of ten, the single digit integer is and the power of ten ?

Solution :

$1\ \text{nanometer}=0.00000004$

$1\ \text{nanometer}=\frac{00000004}{100000000}$

$1\ \text{nanometer}=4\times 10^8$

Therefore, the decimal as a single-digit integer multiplied by a power of ten is $1\ \text{nanometer}=4\times 10^8$

4 0

2 years ago

A solid lies between two parallel planes 22 feet apart and has a volume of 4343 cubic feet. What is the average area of cross-se

ella [17]

Answer:

Step-by-step explanation:

So, formula to be used is:

Average area of cross section is = volume/distance between plates.

Volume = 4343/22 = 197.4 square feet.

8 0

2 years ago

Each inch on a map of Roswell, New Mexico represents $0.51\text{ mile}$. If two hills in Roswell are $7$ inches apart on the map

pav-90 [236]

Answer:

$3.57$

Step-by-step explanation:

we know that

The scale factor on a map is equal to

$\frac{1}{0.51}\frac{inch}{miles}$

by proportion

Find how many miles are in the real life $7$ inches apart on the map

$\frac{1}{0.51}\frac{inch}{miles}=\frac{7}{x}\frac{inches}{miles}\\ \\x=0.51*7\\ \\x=3.57 \ miles$

5 0

2 years ago

Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

5 0

2 years ago

∇f = λ∇g gives us the equations 4xy = 4λx, 2x2 = 8λy. The first equation implies that x = Incorrect: Your answer is incorrect. o

Vlad1618 [11]

Answer:

The answer is correct

Step-by-step explanation:

6 0

2 years ago