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3 years ago

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:

x=25/16

Step-by-step explanation:

Approximate Roots of Functions:

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 first fraction change from division to multiplication (since multiplication is the opposite of division) and flip the second fraction

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

Hence each bottle of sunscreen cost $4.50

4 0

3 years ago