Solve: M = 7a + 5ab for a.

Rahm used a payment plan to purchase wood for a home project. The wood he bought cost $500. The clerk at the store offered him t

faust18 [17]

Answer: 210

Step-by-step explanation:

55×12=660-500=160+50(down payment)=210

5 0

2 years ago

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

Ugo [173]

I believe the correct answers are:

UV = 14 ft and m∠TUV = 45°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Or, in other words, Options A and D.

6 0

2 years ago

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Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2

VLD [36.1K]

Answer:

Part a: The coefficient of $v^9w^2x^5y^7z^2$ is $1.766 \times 10^{13}$

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

$(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx$

So the coefficient of any term $x^ny^nz^n$ is given as

$\dfrac{2!}{n!n!n!}$

Similarly for the generic equation of coefficient of the term $x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k}$ in the equation of form $(x_1+x_2+x_3+x_4......x_k)^n$ is given as

$\dfrac{n!}{r_1!r_2!r_3!....r_k!}$

So now the coefficient of $v^9w^2x^5y^7z^2$ is given as

$=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}$

The coefficient of $v^9w^2x^5y^7z^2$ is $1.766 \times 10^{13}$

Part b:

The number of terms is given as $\left (\ {{m+n-1} \atop {n}} \right )$

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

$\left (\ {{5+25-1} \atop {25}} \right )\\\left (\ {{29} \atop {25}} \right )\\\dfrac{29!}{25!4!}=23751$

So the number of terms are 23751.

3 0

2 years ago

Which function has zeros at x = 10 and x = 2? f(x) = x2 – 12x + 20 f(x) = x2 – 20x + 12 f(x) = 5x2 + 40x + 60 f(x) = 5x2 + 60x +

Allushta [10]

Answer:

x^2 -12x+20

Step-by-step explanation:

If the zeros of the functions are at 10 and 2

(x-10) (x-2)

FOIL

x^2 -2x-10x+20

Combine like terms

x^2 -12x+20

3 0

2 years ago

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__________ is the source error that can be avoided by locating questions sensitive to bias and changing or dropping them.

brilliants [131]

I think the correct answer from the choices listed above is option B. Deliberate bias is the source error that can be avoided by locating questions sensitive to bias and changing or dropping them. Hope this answers the question. Have a nice day.

8 0

2 years ago

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