What is the base when the expression (-1.5)2 • (3.2)5 is written as a single power of 5?

Answers

Answer 1

we can rewrite:

(-1.5)²*(3.2)⁵ = 3.76⁵

The new base of the expression is 3.76

What is the new base of the expression?

Here we have the expression:

(-1.5)²*(3.2)⁵

And we want to write this as a single expression with a power of 5.

First we can rewrite:

(-1.5)² = x⁵

x = (-1.5)^(2/5)

Then the new base of the expression will be:

x*3.2

(-1.5)^(2/5)*3.2 = 3.76

Then we can rewrite:

(-1.5)²*(3.2)⁵ = 3.76⁵

The new base of the expression is 3.76

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Related Questions

50 points i really need help

Answers

Answer:

first one i just don't find that sign of math in my computer but yeah

Step-by-step explanation:

HAPPY HOLIDAYS :)

I’m confused, is 1/52 and 52/1 the same?

Answers

Answer: No

Step-by-step explanation:

Because 52/1 is just plain 52

But 1/52 is one thing out of 52 of them.

So 52/1 is just the number 52 versus 1/52 is one of fifty-two.

Answer:

Yes, 1/52 is the same as 52/1 because 52/1 is the inversed fraction of 1/52. Inversed fractions is a fraction with the denominator and numerator swapped.

Step-by-step explanation:

Hope this helped and please tell me if I'm incorrect :)

A salesman sells 2812 storybooks in November.
He sells 1845 more storybooks in December than in November.
How many more storybooks must he sell in order to reach a total
sale of 8500 storybooks in the 2 months?

Answers

Answer:

2812+1845

=4657

step 2

=8500-4657

=3843

he must sell 3843 books in the next 2 months

I need help PLEASE ​

Answers

(-1,7) maybe ? (if its right mark brainliest pls)

find the slope from the table x -2, -1, 0, 1, 2 y -3, -1, 1, 3, 5​

Answers

Answer:

slope = 2

Step-by-step explanation:

work is in the picture if you need it... please mark brainiest

19/258 = 21/?

help pls

Answers

Answer:

285.15

Step-by-step explanation:

Given the expression;

19/258 = 21/x

We are to find the unknown value x;

Cross multiply;

19 * x = 258 * 21

19x = 5418

Divide both sides by 19;

19x/19 = 5418/19

x = 285.15

Hence the unknown value is 285.15

Parallel lines have the same....
A) Equation
B) y - intercept
C) X - intercept
D) slope

Answers

The answer is D. They have the same slope.

Write an expression equal to 9^4

Answers

Answer:

9 x 9 x 9 x 9

Step-by-step explanation:

9^4 is a shorter and similar way of writing 9 x 9 x 9 x 9

Function f is an exponential function. It predicts the value of a famous sculpture, in thousands of dollars, as a function of the number of years since it was last purchased.

What equation models this function?



Enter your answer in the box.
f(x)=

Answers

Answer:

there you go took me a second but I got it

Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{\frac{5x}{x^{2} -4} }{\frac{8x}{x+2} }[/tex]

Answers

Answer:

[tex]\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} } = \frac{5x}{ {x}^{2} - 4 } \times \frac{x + 2}{8x} = \frac{5x + 10}{ {8x}^{2} - 32} \\ [/tex]

hope it helps:)

Can anybody help on this (20 pts)

Answers

When x = -2, y = -5
When x = -1, y = -4
When x = 0, y = -3
When x = 1, y = -2
When x = 2, y = -1
Now plot these points on the graph: (-2,-5), (-1,-4), (0,-3), (1,-2), (2,-1)

On which interval(s) is the function f(x) = x3+3x^2−4x−12 increasing?

Answers

The intervals over which the function is increasing are -

x ∈ (- ∞, - 2.5) and  x ∈ (0.5, ∞). We can write it as one single set (S) as -

S = (- ∞, - 2.5) ∪ (0.5, ∞).

What is increasing or decreasing interval of a function?

The interval in which the y - coordinate of the points gets larger, or the graph gets higher as it moves from left to right over the interval is called increasing interval. Similarly, the interval in which the y - coordinate of the points gets smaller or the graph gets lower as it moves from left to right over the interval is called decreasing interval.

Given is the following function f(x) -

f(x) = x³ + 3x² - 4x - 12

First, we will plot the graph of this function. The graph is attached with the answer. On the graph, there are two black dots. From the definition of increasing functions, we know that the interval along which the y - coordinate gets larger is called increasing interval of the function. The first interval over which the function is increasing is-  x ∈ (- ∞, - 2.5). The second interval over which the function is increasing is- x ∈ (0.5, ∞).

Therefore, the intervals over which the function is increasing are -

x ∈ (- ∞, - 2.5) and  x ∈ (0.5, ∞). We can write it as one single set (S) as -

S = (- ∞, - 2.5) ∪ (0.5, ∞).

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What is the solution to the system of equations graphed below?

Answers

Answer:

Option C

Step-by-step explanation:

According to the graph, the lines that represent the system intercept, or cross, at point (-1, 0).

This means that the point would be the solution to the system of equations.

Hope this helps.  

Montraie drove 220 miles in 5 hours. If he continued at the same rate, how long would it take to travel 88 miles?

Answers

Answer:

2 hours

Step-by-step explanation:

220/5=44 miles an hour

88/44=2

2 hours

The solution is 2 hours

Total time it will take Montraie to travel a distance of 88 miles is 2 hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total time for Montraie to drive 88 miles be = A

The distance traveled by Montraie be D

The value of D = 220 miles

The time taken by Montraie to travel 220 miles is T = 5 hours

Now , the speed of Montraie S = distance traveled by Montraie / time taken by Montraie

Substituting the values in the equation , we get

The speed of Montraie S = 220 / 5

The speed of Montraie S = 44 miles per hour

Now , the distance traveled by Montraie = 88 miles

So , the time taken by Montraie to travel 88 miles = distance traveled by Montraie / speed of Montraie S

Substituting the values in the equation , we get

The time taken by Montraie to travel 88 miles = 88 / 44

The time taken by Montraie to travel 88 miles A = 2 hours

Therefore , the value of A is 2 hours

Hence , The total time it will take Montraie to travel 88 miles is 2 hours

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The value of sallys caravan decreased by x% in the third year. At the end of the third year the value of sallys caravan was £16,500. Work out the value of x

Answers

The value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

How to work out the value of x?

The given parameters are

New value = £16,500

Rate of decrease = x%

Let the initial value of the Sally's caravan be represented by y

So, we have the following equation

Initial value  * (1 - Rate of decrease) = New Value

This gives

y * (1 - x%) = 16,500

Divide both sides of the equation by y

So, we have

1 - x% = 16500/y

This gives

x% = 1 - 16500/y

Multiply through by 100

x = 100 - 1650000/y

Hence, the value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

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Davis completes five books in 2 days. How many books should he be able to complete in eight days?

Answers

Answer:
20 books
Step-by-step explanation:
- Find the rate of how many books per day Davis reads

[tex]\frac{5}{2}[tex] = 2.5
5 represents the amount of books
2 represents the number of days it took him to read those 5 books

2. Multiply the number of books per day by 8
2.5 x 8 = 20 books

If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:

2x2−6x

2x2−6

2x2−3

3x−3

Answers

Answer:

f(x)g(x) = 2x² - 6x

General Formulas and Concepts:

Algebra I

Expand by FOIL-ing (First, Outside, Inside, Last)

Step-by-step explanation:

Step 1: Define

f(x) = 2x

g(x) = x - 3

Step 2: Find f(x)g(x)

Substitute:                    f(x)g(x) = 2x(x - 3)Distribute 2x:                f(x)g(x) = 2x² - 6x

Simplify the expression: 4(2x - 5)

Answers

Answer:

8x - 20

Step-by-step explanation:

P.S Can I have brainliest?

Step-by-step explanation:

=4(2x-5)

=8x-20

hope it helps.

Ok ok ok ok ok ok ok ok ok ok ok

Answers

Answer:

ok

Step-by-step explanation:

Answer: huh

Step-by-step explanation:

Find the value of a?
A) 3
B) 4
C) 6
D) 9

Answers

Answer:

3

Step-by-step explanation:

6x + 5y = 3 solve for y

Answers

Answer:

-6/5x + 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Move all terms that don't contain  y  to the right side and solve.y

y= − 3+ 6 x

     5   5

Use the equation to predict how many glasses with 9
pieces of bling Bella can expect to sell. Do not round.
Input your answer. Then click done.

Answers

Answer:

Bella can sell 13.78 glasses with 9 pieces of bling.

Step-by-step explanation:

Given the function

y=1.36x+1.54

As pieces of the bling are represented on the x-axis, and the number of glasses is represented on the y-axis.

Given that the number of pieces of bling = x = 9

Thus,

[tex]y = 1.36x+1.54[/tex]

 [tex]= 1.36(9)+1.54[/tex]

 [tex]=12.24+1.54[/tex]

 [tex]=13.78[/tex]

Thus, Bella can sell 13.78 glasses with 9 pieces of bling.

Math Focus
4. Calculate What is the
kinetic energy of a 0.50 kg
hammer that hits the floor at
a speed of 10 m/s?

Answers

The kinetic energy of hammer is 25 m/s.

How to find the kinetic energy?

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

given that

the mass of the hammer is 0.50 kg.

The velocity of the hammer is 10 m/s.

now find the kinetic energy of the hammer.

[tex]kinetic \: energy = \frac{1}{2}m {v}^{2} [/tex]

[tex]kinetic \: energy = \frac{1}{2} \times 0.50 \times {10}^{2} [/tex]

kinetic energy = 0.25 X 100

kinetic energy = 25 m/s.

Hence, the kinetic energy of hammer is 25 m/s.

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PLEASE HELP MSRKING PEOPLE AS BRAINLIDT

Answers

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps!

Bob and Kathy want to save a total of $500,000 for retirement. How much should they deposit monthly into an account that pays 3.9% interest,
compounded monthly, to meet their goal in 24 years?
$1,051.17
$2,102.34
$950.41
$4,446.41

Answers

Answer:

it would 4,446.41

Step-by-step explanation:

Every Sunday, Chase and his friends get together to play their favorite board game, The Gems of Rawumba. Whoever collects the most gems wins! Players can earn gems by building mines.
There is a proportional relationship between the number of mines Chase builds, x, and the number of gems he earns, y.
x (mines) y (gems)
1 4
4 16
8 32
9 36
What is the constant of proportionality? Write your answer as a whole number or decimal.

Answers

The constant of proportionality is 4, while the equation is given as y = 4x.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent number of mines and y represent the number of gems. Since this is a proportional relationship, hence:

y = kx; where k is the constant of proportionality

From the table when y = 4, x = 1, hence:

4 = k(1)

k = 4

y = 4x

The constant of proportionality is 4, while the equation is given as y = 4x.

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An airplane crosses the Atlantic Ocean​ (3000 miles) with an airspeed of 600 miles per hour. The cost C​ (in dollars) per passenger is given by...

​(a) What is the cost per passenger for quiescent​ (no wind)​ conditions?

Answers

The cost per passenger for quiescent (no wind) conditions is $252.33.

How to illustrate the information?

It should be noted that based on the information given, the cost function that was illustrated in the question is:

C(x) = 175 + x/25 + 32000/x

In this case, it should be noted that the airplane crosses the Atlantic Ocean with an airspeed of 600 miles per hour.

Therefore, the cost per passenger for quiescent conditions will be:

C(x) = 175 + x/25 + 32000/x

where x = 600

C(x) = 175 + x/25 + 32000/x

C(x) = 175 + 600/25 + 32000/600

C(x) = 175 + 24 + 53.33

C = $252.33

Therefore, the cost per passenger for quiescent (no wind) conditions is $252.33

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Kathy bought a pair of jeans on sale for 30% off of the regular price. If the jeans regularly cost $75.00, how much did she pay?

Answers

Answer:

$22.50

Step-by-step explanation:

52.5 because 75-30% is 52.5

PLZ HELP ME WITH THIS I BEG OF YOU PLZ?!?!

Answers

a. is -5+10=5 so the answer to a is 5
b. is 49- (-14)=63 so the answer is 63

hope this helps:)

some two step equations can be written in the form ax+b=c where a b and c are constants and x is the varible A. write the equation ax+b=c in terms of x B use the formula to solve 3x+7=19 and 1/2x - =5

Answers

A. The equation for x is c - b/a

B. x = 4

x = 10

How to determine the equation

Given the equation;

ax + b  = c

Let's make 'x' the subject of formula by expressing it in terms of other variables

We have;

ax = c - b

Divide both sides by the coefficient of 'x'

ax/a = c - b/ a

x = c - b/a

B. 3x + 7 = 19

Let's solve for x

3x = 19 - 7

3x = 12

Make 'x' the subject

x = 12/ 3

x = 4

1/2x  = 5

cross multiply

x = 5 × 2

x = 10

Thus, the equation for x is c - b/a

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