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Maksim231197 [3]
3 years ago
9

An equation with an exponent is called an exponential equation. True False

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0

Answer:

true

Step-by-step explanation:

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A pudding recipe requires 2/3 of a cup of milk for every 1 3/4 cups of sugar. What is the unit rate of sugar to milk in the pudd
Zinaida [17]

Answer:

2 5/8 to 1.

Step-by-step explanation:

That would be 1  3/4 divided by 2/3.

= 7/4 / 2/3

= 7/4 * 3/2

= 21 / 8

= 2 5/8

Answer 2 5/8 to 1.

8 0
2 years ago
I cannot figure this problem out... can you help? Picture
ArbitrLikvidat [17]
2880 cubic inches is the answer.
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Juan invested $100 in a savings account the earns 5% annually. The value, A, of the investment can be calculated using the equat
Karolina [17]

Answer:

$110.25

Step-by-step explanation:

Step one:

given

principal= $100

rate= 5%

time = 2 years

Required

The final amount

Step two:

The compound interest formula is

A=p(1+r)^t

substituting we have

A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\

The final amount is $110.25

6 0
2 years ago
using the graphing method to solve the equation 13(0.25)^x=7 Round your answer to the nearest thousandth
netineya [11]

Answer:

x = 0.447

Step-by-step explanation:

You need to use your graphing calculator for this.

In y=, put 13(0.25)^x in Y1 and put 7 in y2. Using 2nd trace, find the intersections.

The answer I got was x = 0.447.

3 0
3 years ago
Ingrid makes quilts in designs that follow a specific pattern. The first three designs are shown. In designs, the white blocks r
Gekata [30.6K]

The number of white and grey blocks in the quilts follows a sequence given by the Design number of the quilt

The numbers and patterns of the blocks are;

a. Patterns;

  • The height of the white blocks is the Design number, while the rows are one more than the design number
  • The height of the outer grey blocks is 2 blocks more than the Design number, while their rows are 3 blocks more than the Design number

b. The function is \underline{p(n) = n \cdot (n + 1)}

c. The function is \underline{b(n) = (n + 2) \cdot (n + 3) -  n \cdot (n + 1)}}

d.  \underline{t(n) = (n + 2) \cdot (n + 3)  = b(n) - p(n) }

e. The design chosen is <u>Design 9</u>

The number of blocks is <u>132 blocks</u>

Reasons:

The pattern of the design are;

a. The column height of the grey blocks = 2 blocks more than the column height of the white blocks

Width of the outer grey blocks = 2 blocks more than the width of the inner white blocks

The number of white blocks in a design, <em>n</em> is the product of <em>n</em> and (n + 1)

The number of grey blocks in a design <em>n</em>, is the product of (n + 2) and (n + 3) less the number of white blocks in the design

b. Based on the above, the function that represent the number of picture blocks in Design <em>n</em>, is therefore;

  • p(n) = n·(n + 1)

c. Based on the above, the function that represent the number of border blocks in Design <em>n</em>, is therefore;

  • b(n) = (n + 2)·(n + 3) - n·(n + 1)

d. The total number of blocks, t(n) = (n + 2)·(n + 3)

t(n) = (n + 2)·(n + 3) - n·(n + 1) + n·(n + 1)

  • t(n) = p(n) + b(n)

e. The given number of picture blocks = 90

The number of picture blocks in a design, n = n × (n + 1)

Therefore, given that the number of picture blocks is 90, we have;

90 = n × (n + 1)

n² + n - 90 = 0

(n + 10)·(n - 9) = 0

n = 9, or n = -10

Therefore, the design museum chooses is <u>Design 9</u>

The total number of blocks in a quilt design, t(n) = (n + 2)·(n + 3)

Total blocks in the design the art museum choses, t(9), is given as follows;

t(9) = (9 + 2)·(9 + 3) = <u>132 blocks</u>

<u />

Learn more about series here;

brainly.com/question/13151093

4 0
2 years ago
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