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Reptile [31]
2 years ago
15

The products of respiration are the_____

Mathematics
1 answer:
SpyIntel [72]2 years ago
4 0

Step-by-step explanation:

Powerhouse of photo synthesis

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At the bank, Sheila made 5 deposits, each in the same amount. Her sister Sherri made 4 deposits, each in the same amount. Each o
irinina [24]

The equation would be 4y=5x       4(x+15)=5x             x+15=y

let x be the amount that Shelia deposits each time

let y represent the amount that Sherri deposits each time

4(x+15)=5x

4x+60=5x

-4x       -4x

60=x

Check:

x+15=y                  60+15=y                        y=75

4(75)=5(60)

300=300

Shelia deposits $60 each time.

5 0
2 years ago
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Someone please help me
Troyanec [42]
Pythagorean theorem is a^{2} + b^{2} = c^{2}
and using that sin is opposite/hypotenuse, you can find the third side of the triangle.
11^{2}+(adjacent)^{2} = 61^{2} \\ 121+ (adjacent)^{2} = 3721 \\ (adjacent)^{2}=3600 \\ adjacent = 60
now you know adjacent is 60, so cos=60/61
4 0
3 years ago
Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
2 years ago
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You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided
Vinil7 [7]

Answer:

Runner-up: $15,000

Winner: $75,000

Step-by-step explanation:

Let's create an equation for this problem.

Let x=the amount the runner-up receives

Let 5x=the amount the winner receives

Then,

x+5x=90,000

6x=90,000

x=15,000

5x=75,000

3 0
2 years ago
Can someone tell me the right answer to this question pls and thank you
Katena32 [7]

When it comes to graphing, Desmos is a lifesaver!

I believe its B

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3 years ago
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