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3 years ago

Use the distributive property to remove the parentheses. Simplify your answer as much as possible.

Mathematics

1 answer:

goldenfox [79]3 years ago

7 0

10x^3(8x^3+3x)

([10x^3 x 8x^3]+ [10x^3 x 3x])

80x^6+ 30x^4

•this is as simplified as it gets; it isn’t possible to add or subtract numbers with different exponents.

please vote brainliest if it helped you and have a great day! :)

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The manager at Gabriel's Furniture Store is trying to figure out how much to charge for a bookshelf that just arrived. The books

melomori [17]

First: markup rate × wholesale price = amount of markup

Second: Well the markup rate is a percentage, you have to convert it into a decimal. Percent means "out of one hundred," so 80% is equivalent to 80/100 which is also equal to 80÷100.

Third: 80÷100=0.80

0.80 × $93.00 = $74.40

Fourth: The markup rate is a percentage of the wholesale price that is added to get the retail price, you can find the retail price with the following equation: amount of markup + wholesale price = retail price

$74.40 + $93.00 = $167.40

The retail price of the chair should be $167.40.

7 0

3 years ago

Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

7 0

3 years ago

How much would you need to deposit in an account now in order to have $4000 in the account in 15 years? Assume the account earns

Finger [1]

Answer:

$2500

Step-by-step explanation:

CA=p(1+MR÷1200)

4000=p(1+180×4÷1200) 15 yrs =15×12=180 month

4000=1.6p

p=4000÷1.6

p=2500

please give me brainliest

5 0

2 years ago

Fill in the table and then round to the given place 4.3 hundredths tenths ones

NISA [10]

4.3
4=ones
.3= hundredths
0=tenths

Hope I helped:P

6 0

3 years ago

Which statement is true about the given information?

Lubov Fominskaja [6]

Answer

∴ The true statement is Answer:

The true statement is BD ≅ CE ⇒ 3rd answer

Step-by-step explanation:

- There is a line contained points B , C , D , E

- All points are equal distance from each other

- That means the distance of BC equal the distance of CD and equal

the distance of DE

∴ BC = CD = DE

- That means the line id divided into 3 equal parts, each part is one

third the line

∴ BC = 1/3 BE

∴ CD = 1/3 BE

∴ DE = 1/3 BE

∵ BC = CD

∴ C is the mid-point of BD

∴ BC = 1/2 BD

∵ CD = DE

∴ D is the mid-point of DE

∴ CD = 1/2 CE

- Lets check the answers

* BD = one half BC is not true because BC = one half BD

* BC = one half BE is not true because BC = one third BE

* BD ≅ CE is true because

BD = BC + CD

CE = CD + DE

BC ≅ DE and CD is common

then BD ≅ CE

* BC ≅ BD is not true because BC is one half BD

∴ The true statement is BD ≅ CE

plz mark me brainliest

5 0

2 years ago