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3 years ago

Use the properties of exponents to simplify.

1 answer:

3 0

Both will have the same answer since >3/5 is equal to .6 and >2/5 is equal to .4

(10^3/5)^2/5==1.73780082875

(10^.6)^.4==1.73780082875

hope this helps
remember is you ever need anything or a question answered feel free to post it on my profile or you can message me

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What is the area of the rhombus?

cluponka [151]

Answer:

Area=36

Step-by-step explanation:

Area of rhombus: diagonal 1 x diagonal 2 divided by 2.

To find the area of a rhombus, you need to find the length of both diagonals(which is the distance between 2 points across from each other).

First, find the distance between -8 and 4 which is 12.

Next, find the distance between -1 and -7 which is 6.

12 x 6 =72

72/2=36

4 0

3 years ago

An Antique Collector want to know the age of a particular chair in a shop Statistical or not statistical

dmitriy555 [2]

Answer:

$\boxed{\bold{Not \ Statistical}}$

Step By Step Explanation:

Statistical: A survey, branch or mathematics consisting of data collection, organization, analysis, interpretation and presentation.

A statistical question deals with social problems, people, or something that must be studied and data gained. Statistical questions must have data sets and data gained. They also must have answers that vary from side to side or opinion to opinion, in order to be qualified as a 'statistical question'.

"An Antique Collector wants to know the age or a particular chair in a shop"

Statistical Not Statistical

$\boxed{\bold{>}}$ This is not a statistical question because there is no data that needs to be collected, no surveys that need to be filled out and no analysis, interpretation and presentation. The answer to this question does not vary. It is simply a fact.

7 0

3 years ago

Can someone please help me solve these two problems and explain them to me? About the one with proportions though... I've always

NeTakaya

Answers:

A) $-\frac{11}{4}$

C) $m_{1}=\frac{Fr^{2}}{G m_{2}}$

Step-by-step explanation:

Part 1:

We have the followig equation:

$\frac{x-1}{3}-\frac{x+4}{5}=\frac{4x-1}{8}$

Calculating the least common multiple (l.c.m) in the denominator in the left side of the equation, being l.c.m=15:

$\frac{5(x-1)-3(x+4)}{15}=\frac{4x-1}{8}$

Solving for the left part of the equation:

$\frac{2x-17}{15}=\frac{4x-1}{8}$

Operating with cross product:

$8(2x-17)=15(4x-1)$

Applying the distributive property:

$16x-136=60x-15$

Isolating $x$ :

$x=-\frac{121}{44}$

Dividing numerator and denominator by 11:

$x=-\frac{11}{4}$ Hence, the correct option is A

Part 2:

We have the followig equation:

$F=\frac{G m_{1} m_{2}}{r^{2}}$

Operating with cross product:

$Fr^{2}=G m_{1} m_{2}$

Isolating $m_{1}$ :

$m_{1}=\frac{Fr^{2}}{G m_{2}}$ Hence, the correct option is C

5 0

4 years ago

Annette is stacking boxes in her closet. There are 15 boxes in all. If each box weighs 7.5 pounds, his much do the boxes weigh t

Firlakuza [10]

If 1 box weighs 7.5 pounds, then we find the weight for 15 boxes with this equation:
15*7.5
Multiply:
112.5
15 boxes weight 112.5 pounds

5 0

4 years ago

Tan(x+pi) + 2sin(x+pi)=0 can you help prove this and make the left side equal the right?

vladimir1956 [14]

This is not an identity but an equation. You're supposed to find the values of $x$ for which this is true. It is *not* true for all values of $x$ .

To see why:

$\tan x$ has period $\pi$ , which means $\tan(x+\pi)=\tan x$ .

The angle sum identity for $\sin x$ says that

$\sin(x+\pi)=\sin x\cos \pi+\cos x\sin\pi=-\sin x$

$\tan(x+\pi)+2\sin(x+\pi)=\tan x-2\sin x$

By definition of $\tan x$ ,

$\tan x=\dfrac{\sin x}{\cos x}$

and so

$\tan x-2\sin x=\sin x\left(\dfrac1{\cos x}-2\right)$

which is only 0 if either $\sin x=0$ (which only happens for certain values of $x$ ) or $\dfrac1{\cos x}-2=0\implies\cos x=\dfrac12$ (which also only happens for certain values of $x$ ). It's these values of $x$ you want to find.

$\sin x=0$ whenever $x$ is a multiple of $\pi$ , i.e. $x=n\pi$ for any integer $n$ .

If $0\le x$ , then $\cos x=\dfrac12$ is true for $x=\dfrac\pi3$ and $x=\dfrac{5\pi}3$ . Then to account for all other possible values, we add a multiple of $2\pi$ , so that $x=\dfrac\pi3+2n\pi$ or $x=\dfrac{5\pi}3+2n\pi$ for integers $n$ .

5 0

3 years ago