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3 years ago

5

Mr. Rijo bought 49 bags of soil one week & 28 bags of soil the next . which expression applies the distributive property to

show equivalent expressions for the number of bags of soil he bought

2 answers:

Furkat [3]3 years ago

6 0

Answer:

49+28=(7)(7)+(14)(2)

Step-by-step explanation:

I hope this helped kinda hard to explain in a way

velikii [3]3 years ago

3 0

The answer is the 48+28=(7)(7)+(14)(2)

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Please help me <br><br>If 180°<α<270°, cos⁡ α=−8/17, what is sin -α?

rewona [7]

Starting from the fundamental trigonometric equation, we have

$\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}$

Since $180$ , we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

$\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}$

Plugging the numbers, we have

$\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}$

Now, just recall that

$\sin(-\alpha)=-\sin(\alpha)$

to deduce

$\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}$

6 0

3 years ago

Read 2 more answers

The following data pairs represent the average temperature x (in degrees Fahrenheit) and electricity

elena55 [62]

Answer:

<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

Step-by-step explanation:

Using Excel, we captured the data provided for the 12 different homes for calculating the correlation coefficient manually, this way:

n = 12

∑x = 904

∑y = 2,169

∑xy = 167,532

∑x² = 69,552

∑y² = 404,615

r = [n *∑xy - (∑x * ∑y)]/[√(n * ∑x² - (∑x)²) * (n * ∑y² - (∑y)²)]

Replacing with the real values, we have:

r = [12 * 167,532 - (904 * 2,169)]/[√(12 * 69,552 - 904²) * (12 * 404,615 - 2,169²)]

r = [2'010,384 -1'960,776]/[√(834,624 - 817,216) * (4'855,380 - 4'704,561]

r = 49,608/√17,408 * 150,819

r = 49,608/ 51'239.215

r = 0.00097

<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

4 0

3 years ago

Read 2 more answers

What is M.M.C and how to find it?

Bingel [31]

Maximum Material Condition or for short, MMC, is a feature of size symbol that describes the condition of a feature or part where the maximum amount of material (volume/size) exists within its dimensional tolerance.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28-1%7B2%7D%7B3%7D%20%29x%5E%7B3%7D" id="TexFormula1" title="(-1{2}{3} )x^{3}" alt="(-1{2}{3}

Alex_Xolod [135]

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: $(\frac{-12}{3}) ^{3}$

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

<em>The parentheses are important so you cube the negative sign as well!</em>

3³ = 27

-1728 / 27 = -62

$(\frac{-12}{3}) ^{3}$ simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1 $\frac{2}{3}$ )³

Answer: - $\frac{125}{27}$

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get $-\frac{5}{3}$

To cube it we must do:

( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

(-1 $\frac{2}{3}$ )³ simplifed is - $\frac{125}{27}$

7 0

3 years ago

Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)

Bess [88]

Answer:

<u><em>F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x + C.</em></u>

Step-by-step explanation:

<u><em>First step we aplicate distributive property to the function.</em></u>

<u><em>5*(x+a)*(x+b)= 5*[ $x^{2}$ +x*b+a*x+a*b]</em></u>

<u><em>5*[ $x^{2}$ +x*(b+a)+a*b]= f(x), where a, b are constant and a≠b</em></u>

<u><em>integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant</em></u>

<u><em>∫^5*[ $x^{2}$ +x*(a+b)+a*b]*dx, apply integral´s property</em></u>

<u><em>5*[∫ $x^{2}$ dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals </em></u>

<u><em>5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x</em></u>

<u><em>Finally we can write the function F(x)</em></u>

<u><em>F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x ]+ C.</em></u>

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3 years ago