All categories

3 years ago

Find the missing term (x^12)^5*(x^-2)^9___=(x^40)^5

1 answer:

6 0

(x^12)^5=x^(12*5)=x^60
(x^(-2))^9=x^(-18)
x^60*x^(-18)=x^(40) and we need to find x^a such that
x^(42)*x^a=x^(40)^5
x^a=x^(40)^5*x^(-42)
x^a=x^(200)x^(-42)
x^a=x^(200-42)
x^a=x^158
so the missing term is x^158

You might be interested in

Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss

egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space

y-----> size of the sample space

$P=\frac{x}{y}$

In this problem

The probability of choose a blue card is

$x=7$

$y=7+4+6+8=25$

substitute

$P=\frac{7}{25}$

The probability of choose a green card is

$x=4$

$y=7+4+6+8=25$

substitute

$P=\frac{4}{25}$

The probability of choose a red card is

$x=6$

$y=7+4+6+8=25$

substitute

$P=\frac{6}{25}$

The probability of choose a yellow card is

$x=8$

$y=7+4+6+8=25$

substitute

$P=\frac{8}{25}$

The sum of the probabilities of the 4 possible outcomes is equal to

$\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25}$ ----> represent the 100%

4 0

3 years ago

27)

laila [671]

The answer is B.

You need to subtract 15% each year from the value of the car.

4 0

3 years ago

A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;

nevsk [136]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= 4x^2 \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h$

8 0

3 years ago

I have no idea how to work this problem out and the answer

NeTakaya

Answer:

B, D, C, A

Step-by-step explanation:

The question is asking to put the photographers into least to greast.

For the best case, I suggest you change them into decimals and put them in order.

Photgrapher A: 2/5 = 0.4 = 40%

Photographer B: 4% = 0.04 = 4%

Photographer C: 0.29 = 29%

Photographer D: 27/100 = 0.27 = 27%

Now put them into least to greatest.

Photographer B, Photographer D, Photographer C, And Photographer A

3 0

2 years ago

Read 2 more answers

In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3 /10 cm. Find the perimeter of the fig

pentagon [3]

Answer:

The perimeter of the figure = 9.5 cm

Step-by-step explanation:

Note: You probably missed to add the figure, but after a little research I found and am attaching the figure. I have answered your question based on the reference of that figure. But, I hope you would learn the concept so that you could solve any question based on this concept. So, please check the figure.

Solution:

The perimeter of the figure is the sum of all the sides of the given figure as shown in the attached figure.

So, here is the formula to calculate the perimeter.

Perimeter = AB + DE + BC + AE + BC

As AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm

Therefore,

Perimeter = 1 3/4 + 1 1/4 + 13/10 + 1 1/5 ∵ AE + BC = 1 1/5

= (130 + 110 + 52 + 88) / 40

= 380/40

= 9.5 cm

So, the perimeter of the figure is = 9.5 cm

Keywords: perimeter

Learn more about perimeter of polygon from brainly.com/question/13393967

#learnwithBrainly

5 0

3 years ago

Read 2 more answers