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stiv31 [10]
3 years ago
9

Write the following expression in exponential form: (2 points) 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5

Mathematics
1 answer:
8090 [49]3 years ago
6 0

Answer:

The answer is 4.5^7

Step-by-step explanation:

This is because there are 7 copies of the same number and that means you have to put 7 at the exponential part of it. Then you have to put the original number under the exponential spot. Therefore, the answer is 4.5^7.

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Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a star
n200080 [17]

Answer:

<em>x=25/16</em>

Step-by-step explanation:

<u>Approximate Roots of Functions:</u>

We are required to find the root of  

\displaystyle 5^{-x}+7=\ 2x+4

Let's construct a function

\displaystyle f(x)=\ 5^{-x}+7-2x-4

Reducing:

\displaystyle f(x)= 5^{-x}-2x+3

The equation will have a solution when f(x)=0. We'll start from the approximate crossing point given in the graph (x=1.5)

\displaystyle f(1.5)=5^{-1.5}-2(1.5)+3\ =0.089

We'll move up on x=1.52  

\displaystyle f(1.52)=5^{-1.52}-2(1.52)+3=\ 0.046

We are closer to the solution, let's try some more up

\displaystyle f(1.54)=5^{-1.54}-2(1.54)+3=\ 0.0038

This value x=1.54 is close enough to the solution of the original equation

From the options given, \frac{25}{16} is the closest to our solution

\boxed{Answer:\ x=25/16}

8 0
4 years ago
Honestly i just forgot what a constant polynomial is.
AnnZ [28]

Answer:

A polynomial that, when evaluated over each in the domain of definition, results in the same value. The simplest example is for and. a constant.

3 0
3 years ago
The quotient of 7/8 / 3/8
aleksandr82 [10.1K]

Answer:

7/3

Step-by-step explanation:

Keep Change Flip -KCF (not to be confused with kfc )

7/8 x 8/3

Keep Change Flip in other words, keep the <u>first fraction</u> change from <u>division to multiplication</u> (since multiplication is the opposite of division) and flip the <u>second fraction</u>

8 0
3 years ago
Mona wants to run more than 60 miles this week. She ran a total of 24 miles during the first 4 days of the week. ... Line repres
andreyandreev [35.5K]

Answer: Rate > 12 miles/day

x > 12

She must run more than 12 miles each day

Mona wants to run more than 60 miles this week. She ran a total of 24 miles during the first 4 days of the week. Which number line represents the number of miles Mona must run each day if she wants to meet her goal?

answer choices

x ≥ 10

x = 12

x > 10

x > 12

Step-by-step explanation:

To complete more than 60 miles a week.

After running 24 miles during the first 4 days

We are left with (7-4) days = 3 days

And also,

(60-24) miles to complete the weekly target

> 36 miles (more than 36miles)

Therefore, the number of miles needed to cover per day in the next 3 days is given as.

Rate > distance/time

Rate > 36miles/3days

Rate > 12 miles/day

7 0
3 years ago
You purchase two bottles of sunscreen and a hat the hat cost $6.50 you pay 6% sales tax you pay a total of 16.43 how much does o
kotegsom [21]

First let us calculate the total cost before tax:

1.06 * cost = 16.43

cost = 15.5

 

Therefore the cost of sunscreen is:

2 * Sunscreen + 6.50 = 15.5

2 * Sunscreen = 9

Sunscreen = $4.50

 

<span>Hence each bottle of sunscreen cost $4.50</span>

4 0
3 years ago
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