What values of a and b make the equation true?
V648 =V2^a 3^b
1. a = 3, b = 2
2. a = 2, b = 3
3. a = 3, b = 4
4. a = 4, b = 3​

Answers

Answer 1

Answer:

3

Step-by-step explanation:

[tex]\sqrt{648} =\sqrt{2 * 2 * 2 * 3 * 3 * 3 * 3} \\\\=\sqrt{2^{3}*3^{4}}[/tex]

a = 3 & b =4


Related Questions

One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other endpoint?
A. (2, 10)
B. (−10, 1)
C. (3, 11)
D. (−10, 18)

Answers

Answer:

A. (2, 10)

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on a coordinates plane then

coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2

__________________________________________________

Given

one endpoint is (–6, 4) and midpoint is (–2, 7)

let coordinates of other endpoint be (x,y)

now if one endpoint is (–6, 4) and other endpoint is (x,y)

then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)

while the coordinates of midpoint given  is  (–2, 7)

thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)

-2 = (-6+x)/2             and   7 = (4+y)/2

=> -2*2 = -6+x                 => 7*2 = 4+y

=> -4 = -6+x                    => 14 = 4+y

=> -4+6 = x                     => 14-4 = y

=> x = 2                           => 10 = y

Thus, coordinates of the other endpoint is(2,10)

A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.

You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased

Answers

Answer:

Lose $1.70 for each ticket you purchase

Step-by-step explanation:

($500 x 1/2000) + ($50 x 2/2000) - $2

$0.25 + $0.05 - $2

-$1.70

simplify the expression.
[tex]\sqrt{28c^{5}d^{2} }[/tex]

Answers

Hopefully this helps

Hey, I need some help with this:
Give an example of what an inverse operation is and how they are used in solving equations

Answers

An inverse operation is writing the opposite sign to another sign

Inverse operations are an operation that undoes each other. For example, addition and subtraction, multiplication and division, squares and square roots.

For example, we have the equation:

2 + 2 = 4

The inverse of this equation is:

4 - 2 = 2

Best of Luck!

What the product of (-4)(-9)(-2)

Answers

Answer:

-72

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

36(-2)

-72

If all the dates in June were used to form a sequence, would the sequence be finite or infinite?
Finite
Infinite

Answers

I Think It’s Finite
The answer is finite

whats the constant of the function?

Answers

Answer:

-4

Step-by-step explanation:

In mathematics, a constant function is a function whose value is the same for every input value. For example, the function is a constant function because the value of is 4 regardless of the input value. The answer is -4

Identify a central angle in the figure.
A)
ZBCD
ZBFC
ZFAE
ZFCO

Answers

Answer:

a is your answer is am correct

In Circle C, EA and FB are diameters. Identify the following Two major arcs.

Answers

Answer:

See explanation

Step-by-step explanation:

Two major arcs:

[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]

Two minor arcs:

[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]

The diagram below shows ΔPQT; its altitude, which is segment PR ; and some of its measurements.

(a) What is mTPR? Show or explain how you got your answer.


For Parts (b), (c), and (d), write the exact answer in simplified radical form.


(b) What is the length, in inches, of segment PR? Explain your answer.


(c) What is the length, in inches, of segment TR? Explain your answer.


(d) What is the length, in inches, of segment PQ? Explain your answer.

Answers

Answer:

i need some poitns plssss

What’s is the missing leg length

Answers

Answer: a= 96

Step-by-step explanation:

28^2 + a^2 = 100^2

784 + a^2 = 10000

-784             -784

    a^2 = 9216

a=  96  

A rectangle has a height of 7a^2 and a width of a^4+5a^2+4.

Express the area of the entire rectangle.

Answers

7a^6 + 35 a^4 + 28a^2

Find the volume of the composite space figure to the nearest whole number.

Answers

Answer:

180cm^3

Step-by-step explanation:

marking brainliest :)

Answers

Answer:

B

Step-by-step explanation:

Answer:

i think B

Step-by-step explanation:

Substitute x and y in the equation

Answers

B. y=50x

If you look at the graph, you can see that in each dot the y equals to 50 Times x.
Such at the first dot, the location is at (1,50). 1*50=50
And at the second dot the location is at (2,100). 50*2=100
And at the last dot, the location is at (8,400). 8*50=400

Please help! Its one of my last! Will give brainliest.
A polygon plotted on the coordinate plane has 6 vertices. What is the shape of the polygon? *

Answers

Answer:

hexagon

Step-by-step explanation:

A hexagon has six vertices. Hope that this helps you and have a great day

Answer:

Hexagon

An object that has six vertices will form a Hexagon on a coordinate plane

Please help me. Give me the Answers to question 18. and show your work.

Answers

Answer:

mark brainlyest and I will answer

What is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the nearest tenths place

Answers

Answer:

the answer for the volume of the cylinder is V≈25.13in³

Answer:

h=2         d=4  

r=4/2  , radius is half of the diameter

r=2

V=π  r^2h

V= π x (2)²×2

substitute variables into formula V=25.132741228718

the nearest tenths place V=25.1 inches

a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete​

Answers

What is the question?

Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.

Answers

Answer:

There needs to be a graph.

Step-by-step explanation:

The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.

What is proportionality?

We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.

From the table, we need to find the rate of change between two given hours and the miles traveled at that time.

Now,

Between 1 hour and 2 hours.

The rate of change.

= (26 - 12) / (2 -1)

= 14 / 1

= 14

Between 2 hours and 3 hours.

The rate of change.

= (30 - 26) / (3 - 2)

= 4 / 1

= 4

Between 3 hours and 4 hours.

The rate of change.

= (48 - 30) / (4 - 3)

= 18 / 1

= 18

Since,

The rate of change is not the same for all the cases so,

Hence, the relationship between hours biked, and the miles traveled is not proportional.

Learn more about proportionality here:

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Which of the following shows the correct simplification assuming the denominator is not equal to zero?

Answers

Answer:

[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]

or

[tex]\frac{(3x+2)}{x^2+x}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]

The half-life of a certain radioactive material is 37 days. An initial amount of the material has
a mass of 477 kg. Write an exponential function that models the decay of this material. Find
how much radioactive material remains after 6 days. Round your answer to the nearest
thousandth.

Answers

Answer is option B that ends with 426.288 kg.

The exponential function that models the decay of this material is [tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] and the quantity of substance remains is 426.28 grams

What is Half life?

Half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.

What is Radioactive material?

Radionuclides (or radioactive materials) are a class of chemicals where the nucleus of the atom is unstable

Given,

Half life of a certain radioactive material = 37 days

Initial amount of the material = 477 grams

Quantity of substance remains N(t) = [tex]N_{0}(\frac{1}{2})^{(\frac{t}{half-life} )}[/tex]

Substitute the value in the equation N(t) =[tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex]

[tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] is the exponential function that models the decay of this material.

Quantity of substance remains after 6 days = [tex]477(\frac{1}{2})^{(\frac{6}{37} )}[/tex] = 426.28 grams

Hence, the exponential function that models the decay of this material is [tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] and Quantity of substance remains is 426.28 grams  

Learn more about Half life and Radioactive material here

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Algebra 2 hurry please

Answers

Answer:

The second answer 0.0380

Find the missing probability. P(A and B) = ______, P(B|A) = 1/5, P(A) = 3/4

3/20

3/4


4/3


4/15

Answers

Answer:

4/45

Step-by-step explanation:

the answe ris 45

Find the unknown side length, x.

Answers

Answer:

b=24

Step-by-step explanation:

10^2+b2=24^2

100+b2=576

b2=476

then square root it

b=24

if y=4x-1, determine the value of y when x=7/2

Answers

Answer:

y=13

Step-by-step explanation:

Answer:

y =13

Step-by-step explanation:

y=4x-1

Let x = 7/2

y = 4(7/2) -1

y = 14 -1

y =13

There are 64 teams at the basketball tournament. Each team has 12 players. How many players are at the basketball tournament?

Answers

Answer:

64 x 12 = 768

Step-by-step explanation:

ok so we have 64 teams in all at the tournament & each team has 12 players. To find how many are at the basketball tournament we can multiply 12 by 64.

Answer:768 basketball players

24% of what number 30

Answers

Answer:

125

Step-by-step explanation:

30*.24=125

Which function has the same y-intercept as the function

Answers

Answer:

221

Step-by-step explanation:

Can anyone please make up some easy questions for me to do? I need at least five

Answers

Answer:

well ig thats good

Step-by-step explanation:

thanks

Answer:16/4

10^2

10Y-10=110

20/5

100/20

Step-by-step explanation:

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