Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only.

Simplify The Expression By Using The Properties Of Rational Exponents. Write The Final Answer Using Positive

Answers

Answer 1

Answer:

A. [tex] {h}^{7} [/tex]

Step-by-step explanation:

[tex] {h}^{ \frac{7}{3} } \times {h}^{ \frac{14}{3} } [/tex]

[tex] {h}^{ \frac{7}{3} + \frac{14}{3} } = \frac{7}{3} + \frac{14}{3} [/tex]

[tex] \frac{7 + 14}{3 } = \frac{21}{3} [/tex]

[tex] 21÷3 = 7[/tex]

[tex] = {h}^{7} [/tex]


Related Questions

Fill in the blank
30.030___30.03

Answers

Answer:

=

Step-by-step explanation:

It’s = same thing and weight love math <33

X-1=5x+3x-8
solve for x, step by step

Answers

Answer:

x=1

Step-by-step explanation:

X-1=5x+3x-8

X-5x-3x=-8+1

-7x=-7

-7x/-7=-7/-7

x=1

A triangle has vertices A (0,0) B (2,6) and (0,4) Rotate it 180 clock wise about the origin followed by a dilation with a scale factor of 3 find the coordinates of the vertices of A’ B’ C’ and state whether the two triangles are congruent or similar

Answers

9514 1404 393

Answer:

A'(0, 0), B'(-6, -18), C'(0, -12)

Step-by-step explanation:

Rotation 180° is the transformation ...

  (x, y) ⇒ (-x, -y)

Dilation by a factor of 3 is the transformation ...

  (x, y) ⇒ (3x, 3y)

The two transformations together can be described by ...

  (x, y) ⇒ (-3x, -3y)

That is, the coordinates of A, B, C are each multiplied by -3. The image vertices are ...

  A' = -3A = A'(0, 0) . . . . . . . . the center of rotation and dilation is invariant

  B' = -3B = B'(-6, -18)

  C' = -3C = C'(0, -12)

Any dilated figure will not be congruent to the original. The triangles are similar.

Dose anyone know the awnser to number 1 and 3 I can’t do it

Answers

Answer:

1. 18 11/15

3. 11 4/9

That's all

Use the distributive property to rewrite this expression.
2(a +3)

Answers

Answer:

2a+6

Step-by-step explanation:

you distribute the 2 to the variable A and number 3. since a variable and a constant cant be combined, your left with 2a+3

help me like fast pls

Answers

Answer:

answers 3,4 and 6 I think

Almanah is baking cookies. She has a bag that contains 300 cookies. If she wants to bake a batch of 40 cookies with 6 chocolate chips in each, will she have enough chocolate chips?

Answers

Answer:

Did you mean she has a bag that contains 300 chips? if so yes.

Step-by-step explanation:

If each cookie gets 6 chips and she makes 40 cookies, you can use multiplication to see.

6*40=240

She has plenty, 60, of chocolate chips left over

Plz help I need help now plz

Answers

Answer:

-840

Step-by-step explanation:

When we multiply two intergers with the same sign, the product will be positive. When we multiply intergers with different signs, the quotient will be negative

[tex]( - 5) \times ( - 3) = 15[/tex]

[tex]15 \times ( - 8) = - 120[/tex]

[tex] - 120 \times 7 = - 840[/tex]

PLS HELP I WILL GIVE BRAINLIEST

Answers

sin(8x) cos(3x) - cos(8x) sin(3x)

sin(8x - 3x) = sin(5x)

An online test of English spelling looked at how well people spelled difficult words. The bar graph to the right shows how many people per 100 spelled each word correctly. a. Estimate the number of people per 100 who spelled weird correctly. Round to the nearest 5. b. In a group consisting of 8724 randomly selected​ people, estimate how many more people can correctly spell weird than inoculate.

Answers

Answer:

the correct answer would be 8725 because 8724 is closer to 8725

Step-by-step explanation:

8720-------8724--8725

Find how much interest $10,000 earns in 2 years in a certificate of deposit paying 5.5% interest compounded quarterly.

The interest earned in 2 years is $__.
(Do not round until the final answer. Then round to the nearest cent as needed.)
Can anyone help me with this?? 100 points

Answers

Answer:

$1154.42

Step-by-step explanation:

Given:

Deposit amount P = $10000Interest rate r = 5.5% or 0.055Time t = 2 yearsNumber of compounds n = 4

The interest is:

P*(1 + r/n)^(nt) - P = 10000(1 + 0.055/4)^8 - 10000 = 11154.42 - 10000 = 1154.42

Apply compound interest formula

Amount

P(1+r/n)^nt10000(1+0.055/4)^4(2)11154.42

Interest

11154.42-100001154.42

What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?
x2 – 2x – 3
x2 + 2x + 7
x2 – 3x + 8
x2 – 2x + 3

Answers

Answer:

the answer would be x^2 - 2x + 3

have a good day !! :D

Step-by-step explanation:

Answer:

D. x2 – 2x + 3

Step-by-step explanation:

Edge 2023

What is the equation of the line that passes through the point (-7, 2) and has a
slope of -1

Answers

Answer:

y = -x - 5

Step-by-step explanation:

y = mx + b

slope = m = -1

y = -1x + b

y = -x + b

Plug in (-7, 2) for x and y, and solve for b.

2 = -(-7) + b

2 = 7 + b

b = -5

y = -x - 5

I need help with number line math please review my work and explain to me whats correct and wrong thanks!

Answers

Answers:

3) -12, 0, 13, |-14|, |-16|, 17 (D)

4) 1

5) 5

Explanation:

|x| is the absolute value, and absolute values are always positive

|-5| = 5

|-16| = 16

|-16| = |16|

Hope this helps

Which table shows a proportional relationship between weight and price?

Answers

Answer:

1.5 g $0.90

8 g $4.80

Step-by-step explanation:

I did it on the calculator

price ÷ g = price of 1 g

price of 1 g × 8 = $4.80

making it correct

edit: mixed up the numbers but its corrected now :)

9.) You buy a car for 20.000 dollars and pay 5 % in tax. How much is tax?

Answers

Answer:

$1

sales tax is 5 percent or $1,000

20,000 + 1,000 is equal to $21,000

What is 25 x 34 in simplest form

Answers

The answer is 850 for 25 times 34 in it’s simplest form

4.675 subtracted by 1.33

Answers

Answer:

4.675 - 1.33 = 3.345

extra characters because it won't let me submit lol

( using the quadrata formula solve 282 +15% +750​

Answers

Step-by-step explanation:

Q.282 +15% +750

282 +15 /100+750

282+3/20+750

1032+3/20

20643/20

Please help now. I’m very confused and i don’t no how to do this. I don’t want just the answer but a great explanation.

Answers

Answer:

First option

Step-by-step explanation:

Hi there!

The "constant additive rate of change" means a constant slope.

The slope is [tex]\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}[/tex].

First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).

Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is [tex]-\displaystyle \frac{1}{4}[/tex]. This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).

This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).

Therefore, the correct answer would be the first option.

I hope this helps!

please show work hahah I really suck with these equations f – 6 = -2f + 3(f – 2)

Answers

Step-by-step explanation:

I tried my best to answer this question I guess this would help

pls answer :) im timed

Answers

Answer:

Option 1

Step-by-step explanation:

hope it helps!!!!

X-3
If f(x) =
and g(x) = 5x - 4, what is the domain of (fog)(x)?
X
{x1x*}

Answers

It’s C, because g(x) is plugged into f(x) and becomes the denominator. So x cannot equal 4/5

Find the values of the trigonometric functions of t from the given information. sec(t) = 2, terminal point of t is in Quadrant IV

Answers

Answer:

The values of the trigonometric functions of t

[tex]$\sin t=-\frac{\sqrt{3} }{2}[/tex]

[tex]\cos t=\frac{1}{2},[/tex]

[tex]\tan t=-\sqrt{3}[/tex]

[tex]$\csc t-\frac{2}{\sqrt{3} }[/tex]

[tex]\sec t=2[/tex]

[tex]\cot t=\frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Given:

[tex]\sec(t)=2[/tex]

The terminal point of [tex]t[/tex] is in Quadrant [tex]IV[/tex]

Step 1:  

To find the values of trigonometric functions of t

[tex]\sec(t)=\frac{H}{A}[/tex]

[tex]=\frac{2}{1}[/tex]

Analyze the figure and find the value of O

[tex]t[/tex] [tex]IV[/tex]

[tex]O=\sqrt{2^{2}-1^{2} }[/tex]

[tex]=\sqrt{4-1}[/tex]

[tex]=\sqrt{3}[/tex]

Step 2:

[tex]$\sin t=-\frac{O}{H}[/tex]

[tex]=-\frac{\sqrt{3} }{2}[/tex]

[tex]\cos t=\frac{A}{H}[/tex]

[tex]=\frac{1}{2}[/tex]

[tex]\tan t=-\frac{O}{A}[/tex]

[tex]=-\sqrt{3}[/tex]

[tex]$\csc t=-\frac{H}{O}[/tex]

[tex]=-\frac{2}{\sqrt{3} }[/tex]

[tex]\sec t=\frac{H}{A}[/tex]

[tex]=\frac{2}{1}[/tex]

[tex]\cot t=-\frac{A}{O}[/tex]

[tex]=\frac{1}{\sqrt{3} }[/tex]

Learn more about trigonometry functions, refer:

https://brainly.com/question/16693162

6 + 5y - 4y + 10 + 3x - X

Answers

Answer:

2  +   + 1 6

Step-by-step explanation:

Add the numbers:

6 + 5y - 4y + 10 + 3x -x    =  

1 6  +  5  −  4  +  3   −

Combine like terms:

16 + 5y - 4y +3x - x

16+ 1y + 3x -x

Multiply by 1

16 + 1y + 3x - x

16 + y + 3x - x

Combine like terms:

16 + y + 3x - x

16 + y + 2x

Rearrange terms:

16 + y + 2x

2x + y + 16

Answer:

16 + y + 2x

Step-by-step explanation:

[tex]6 + 5y - 4y + 10 + 3x - x[/tex]

[tex]16 + 5y - 4y + 3x - x[/tex]

[tex]5y - 4y = (5 - 4)y = 1y = y[/tex]

[tex]16 + y + 3x - x[/tex]

[tex] = 16 + y + 2x[/tex]

Which statement is true about the function?

A.
The function is negative on the interval .(n/2,n)
B.
The function is positive on the interval .(3n/4, 5n/4)
C.
The function is positive on the interval .(x/4, 3n/4)
D.
The function is negative on the interval .(5x/4, 7n/4)

Answers

Answer:

A

Step-by-step explanation:

During the Interval, pi/2 to pi, the function is below the x axis, so it is negative

Answer:

A. The function is negative on the interval .(n/2,n)

Step-by-step explanation:

edmentum

select the correct answer
1.caul will be the measure of one of the legs of a right triangle, if its hypotenuse is 10 cm and leg b is 6 cm, what will be the measure of leg a?
a) 8 cm
b) 5 cm
c) 4 cm
d) 12 cm​

please

Answers

Answer:

answer us a) 8cm

Step-by-step explanation:

a^2 + 6^2 = 10^ 2

a^2 + 36 = 100

subtract 36 from 100

a^2 = 64

square root of 64 is 8

Which of the following types of scientists might study the events that take place in the area labeled by letter d?


A. An oceanographer

B. A meteorologist

C. A geologist

D. An astronomer

Answers

Answer: D

Step-by-step explanation:A scientist who studies the objects in the sky, including planets, galaxies, black holes, and stars, is called an astronomer

x=15 is this a function how do you do it

Answers

Answer:

Step-by-step explanation:

factories 24a³ + 37a² – 5a​

Answers

Answer:

a(8a-1)(3a+5)

Step-by-step explanation:

24a³ + 37a² – 5a =

a ( 24a²+ 37a -5) =

a( 24a² +40a -3a -5) =

a [8a(3a+5) -1(3a+5) ]=

a(8a-1)(3a+5)

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