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Vsevolod [243]
3 years ago
8

The first part of a number in scientific notation is called a multiplier.

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer:

0.01 to 0.99, the multiplier in scientific notation always has to be a decimal less than 1 and greater than 0.

Step-by-step explanation:

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What 18% more than 200
djyliett [7]
Answer: 236

Explanation:

100% = 200
118% = x

-> x = (118 * 200) / 100

-> x = 236
3 0
3 years ago
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Which of the following could represent the graph of f(x) = x4 + x3 – 8x2 – 12x?
givi [52]

Answer: the second graph

5 0
3 years ago
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Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How
mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

D+3+C+3=13...(2)

From equation (1), we will get:

C=D-4

Upon substituting this value in equation (2), we will get:

D+3+D-4+3=13

Combine like terms:

2D+2=13

2D+2-2=13-2

2D=11

\frac{2D}{2}=\frac{11}{2}

D=5.5

Therefore, Robert's dog is 5.5 years old right now.

3 0
3 years ago
Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.
kipiarov [429]

Answer:

3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the model

From the attachment, we can see that each partition is 1/3

The gray rectangle covers 11 partitions.

So:

Gray = 11 * \frac{1}{3}

Gray = \frac{11}{3}

Express as a mixed number

Gray = 3\frac{2}{3}

The black rectangle covers 8 partitions

So:

Black= 8 * \frac{1}{3}

Black= \frac{8}{3}

Express as a mixed number

Black= 2\frac{2}{3}

So, the model is:

Gray + Black = Total

Where Total is the point where the black rectangle stops

3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}

5 0
3 years ago
What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768
Neporo4naja [7]
An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3



7 0
3 years ago
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