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Lady_Fox [76]
3 years ago
5

Which expression is equivalent to (5x^7+7x^8) − (4x^4−2x^8)?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
Simplify step-by-step
5 {x}^{7}  + 7 {x}^{8}  - (4 {x}^{4}  - 2 {x}^{8} )
ANSWER
9 {x}^{8}  + 5 {x}^{7}  - 4 {x}^{4}
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During second period, Kiera completed a grammar worksheet. Of the 90 questions, she got 70% right. How many questions did Kiera
ANEK [815]

Answer:

we conclude that Kiera got the right 63 questions.

Step-by-step explanation:

Total questions = 90

The percentage of correct question = 70%

Using the formula

The number of correct questions = 70% of 90

                                                         = [70/100] × 90

                                                          = 0.7 × 90

                                                           = 63

Therefore, we conclude that Kiera got the right 63 questions.

7 0
3 years ago
Complete the following statement. The conditional probability of B given A can be found by​ _______. a. adding​ P(A) and​ P(B).b
Ksju [112]

Answer: Assuming that event A has occurred

Step-by-step explanation:

7 0
2 years ago
NO LINKS!! Jacob just won $32000 on the new game show, "The Wall,". He invested his winnings at an interest rate of 4.5%, compou
mixer [17]

Answers:

a) See the table below

b) The equation is y = 32000(1.01125)^x

c) $40,024.02

d) See the graph below

=========================================================

Explanations:

a)

Start with part (b) where I detail how to get the equation.

Once the equation is found, plug in x = 0 to get

y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\

Repeat for x = 1

y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.

-----------------------

b)

The template for any exponential equation is y = a(b)^x

a = starting amount = 32000

b = growth factor

The annual interest rate is 4.5%

We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125

We go from y = a(b)^x to y = 32000(1.01125)^x

-----------------------

c)

Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\

The investment would be worth $40,024.02 after five years, aka twenty quarters.

-----------------------

d)

See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.

8 0
2 years ago
You find dvds on sale! Eight dvds would cost you $79.92. What is the cost per dvd? Show your work
Juli2301 [7.4K]

If 8 dvds cost $79.92, you would have to divide 79.92 by 8 in order to get the cost per dvd. 79.92 divided by 8 would be $9.99.

4 0
3 years ago
In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?
Drupady [299]
The diagonals of a parallelogram bisect each other.
Therefore WC = CY.
That is,
2x + 5 = 3x + 2
Subtract 2x from each side.
5 = 3x - 2x + 2
5 = x + 2
Subtract  from each side.
5 - 2 = x + 2 - 2
3 = x

Answer:  x = 3

4 0
3 years ago
Read 2 more answers
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