Write the missing exponent that makes the equation true: 4^t times 2^t = 2^what

Answers

Answer 1
Answer:  what = 3t  

Step-by-step explanation:

            4^t × 2^t = 2^what         [convert all terms to the same base (2)]

∴   2^t × 2^t × 2^t = 2^what       [use the multiplicat law of exponents]

              2^(t+t+t) = 2^what       [simplify]

                   2^3t =  2^what

   

                     what = 3t    


Related Questions

Harry drives a lot as a part of his job, and he notes that an upcoming trip is from the office to a meeting location that is 2 inches away on a map. The map uses a scale of 1 inch = 34 miles. What is the actual distance between the office and the meeting location?

Answers

Answer: The actual distance is 68 miles.

Step-by-step explanation:

Are the triangles congruent?
-yes by SSS

-yes by SAS
-yes by ASA
-yes by AAS
-yes by HL

Answers

Answer:

yes by SAS

it is Side angle Side

For w(x)=4x-4 find w(-7) show your work

Answers

Answer:

-32

Step-by-step explanation:

To find w(-7) we have to substitute x with -7

w(x)=4x-4

w(x = -7) = 4(-7) -4

w(-7) = -28-4

w(-7) = -32

-32 , I did the same question last week on my test I don’t have the work though

not sure how to do these. i need help with 13! needing it to be reduced just like y should be 8

Answers

Answer:

I'm not sure 710

Step-by-step explanation:

I'm not sure

Answer:

#14

y=5

x=14

Step-by-step explanation:

I did 14 for you

the two expressions with x equal each other since they are on the same side of their line, similar to eachother. Then plug in x into one of those expressions and do 180- your answer to get the angle for one of the y expressions since its on the other side of the line. both angles have to add up to 180.

Perimetre of rectangle is 256cm.it length is 3times as long as its breadth.find breadth or length.

Answers

length = 3 breadth

which means 256 = 8 breadth

breadth = 32

length = 96

pls mark me as brainliest!

help me pls iam confused

Answers

Answer:

z=9.6

Step-by-step explanation:

Because you know 17 is one of the values in the model, you do:

65-17=48

Then, because you have 5 z values, you do:

48/5=9.6

z=9.6

Z=9.6 because 65-17= 48 and since you have 5z values you divide them 48/5=9.6

3
10 points
A vector starts at point (-8,-6) and ends at point (7,-3) what is the horizontal component of the vector?
Type your answer...

Answers

It’s 15. 7- (-8)=15. It take the vector 15 units to travel horizontally to the right

If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)​

Answers

Answer:

Step-by-step explanation:

[tex] \large\underline{\sf{Solution-}}[/tex]

Given that,

[tex]\rm \longmapsto\: {(x + iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}(iy) + 3x {(iy)}^{2} + {(iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}yi + 3x {i}^{2} {y}^{2} + {i}^{3} {y}^{3} = y + iv[/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1 \: \: \: and \: \: \: {i}^{3} = - i }}} \\ [/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{3} + 3 {x}^{2}yi - 3x{y}^{2} - i{y}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: ({x}^{3} - 3x {y}^{2}) + i(3{x}^{2}y- {y}^{3})= y + iv[/tex]

On comparing real and Imaginary parts, we get

[tex]\rm \longmapsto\:y = {x}^{3} - 3 {xy}^{2} [/tex]

and

[tex]\rm \longmapsto\:v = {3x}^{2}y - {y}^{3} [/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{y}{x} + \dfrac{v}{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ {x}^{3} - {3xy}^{2}}{x} + \dfrac{ {3yx}^{2} - {y}^{3} }{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ x({x}^{2} - {3y}^{2})}{x} + \dfrac{y({3x}^{2} - {y}^{2})}{y} [/tex]

[tex]\rm \:  =  \: {x}^{2} - {3y}^{2} + {3x}^{2} - {y}^{2} [/tex]

[tex]\rm \:  =  \: 4{x}^{2} - {4y}^{2}[/tex]

[tex]\rm \:  =  \: 4({x}^{2} - {y}^{2})[/tex]

Hence, Proved

Can someone help me :(( thank you so so much if u do <33:)

Answers

Answer:

13

Step-by-step explanation:

8-13=-5

Answer:

13

Step-by-step explanation:

8 - 13 = -5

that is your answer

90 entre (7 + 3) x 2

Answers

The answer is 20 because you do 7+3 first because it is in parenthesis, so 7+3 is 10. Then 10x2 which is 20 so the answer is 20

Can someone Please Help

Answers

Answer:

4

Step-by-step explanation:

2 to the power of 4 is the same as 2×2×2×2.

That is also the same as 4×4, which equals 16.

Answer:

4

Step-by-step explanation:

(2 x 3) + (3 x 4) = ​

Answers

Answer:

18

Step-by-step explanation:

To answer, you want to follow PEMDAS:

P = parentheses

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

So, the first step is parentheses, therefore we do whatever is inside the parentheses, and that is multiplying:

(2 * 3) + (3 * 4) =

6 + 12

Now, because there are no exponents, we cannot multiply anymore, and we cannot divide, we can add:

6 + 12 =

18

And that is our final answer!

Hope this helps :)

Compare 9/15 and 10/15

Answers

Answer: 9/15 < 10/15

Step-by-step explanation: 9/15 < 10/15

What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?

Answers

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

Worth 100 Points!

Help, this is after an test. And I still don't understand it. Could someone please help me understand this question related to inverse functions? Thanks!​

Answers

        You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)

       To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.

      We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:

[f(x)] y = -2x + 2

[switch] x = -2y + 2

[subtract 2 from both sides / flip equation] -2y = x - 2

[divide both sides by -2] y = -2x -4

So our equation for g(x) will be about y = 2x -4

(inverse so the negative is weird)

Photos:

- first is y=x

- second is the general idea of the inverse for what g(x) should look like

- third is kinda what the graph will look like (digitally)

I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D

One circle has a circumference of 12 cm. Another circle has a circumference of 32 x cm. What is the ratio of the
radius of the smaller circle to the radius of the larger circle?
3:8
8:3
1:3
3:1

Answers

Answer:

8:3

Step-by-step explanation:

Answer:

3:8 or 8:3, im leaning towards 3:8 more but i dunno

Step-by-step explanation:

HELPPP PLEASEEE
If θ is 180 degrees and the radius is 4.9 cm, the length should be

A) 10.4 cm
B) 13.6 cm
C) 15.4 cm
D) 16.6 cm

Answers

Answer:

15.4 is right ans

Step-by-step explanation:

using this formula θ ×(22÷7÷180)×r

Please please help me with this question please now and show your steps

Answers

Answer:

[tex]y = {x}^{2} - 8x + 7 \\ a = 1 \: and \: b = - 8 \\ the \: line \: of \: symmetry \: \\ x = \frac{ - b}{2a} = \frac{8}{2} \\ x = 4(line \: of \: symmetry) \\ y = {4}^{2} - 8(4) + 7 \\ = 16 + 32 + 7 = y = 55 \\ vertix \: is \: (4 ,55) \\ y = {0}^{2} - 8(0) + 7 \\ y = 7 \\ 0 = {x}^{2} - 8x + 7 \\ (x - 7)(x - 1) = 0[/tex]

The GCF of two numbers is 3 and the LCM is 180. If the one of the number is 45, what is the other number?

Answers

Answer:

45

Step-by-step explanation:

45 = 3*3*5

180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4

also, let the other number has to be of the form 3k and it must contain a factor of 4, how about 12 ?

check: lcf of 12 and 45 is 3,

the lcm of 12 and 45 is ...

12 = 2*2*3

45 = 3*3*5

so we need: 2*2*3*3*5 = 180

Write as a decimal: two and three-tenths = ​

Answers

Answer:

2.3 is ur answer

Step-by-step explanation:

Answer:

2.3

Step-by-step explanation:

the interweb said so

Which polynomial has (3x + 2) as a binomial factor?

Answers

Answer:

Step-by-step explanation:

If binomial (3x+2) is  a factor of some polynomial, then number  is this polynomial's root. Check all polynomials:

6x^3+3x^2+4x+2

Answer:

B. [tex]12x^2+15x+8x+10[/tex]

Step-by-step explanation: I did this assignment on edge.

what is the distance from "-15" to 15 ?

15 , 0, -0 , 30

Answers

Answer:

the distance would be 30.

Answer:

30

Step-by-step explanation:

-15 to 0 is 15

0 to 15 is another 15

15+15 = 30

absolute value*

will mark brainliest ​

Answers

Answer:

148 deger ❤❤❤❤❤❤❤❤❤❤

32 meter

Hank's pickup can travel 54 miles on 3 gallons of gas. How many gallons will​ Hank's pickup need to travel 36 ​miles?

Answers

Answer:

2 gallons

Step-by-step explanation:

x over 32 = 3 over 16

Answers

Answer:

7/32 = 3/16

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

x/32=3/16

Simplifying:

+ 0.03125x=3/16

Simplifying:

+ 0.03125x=0.1875

We move all terms containing x to the left and all other terms to the right.

+ 0.03125x=0.1875

We simplify left and right side of the equation.

+ 0.03125x=0.1875

We divide both sides of the equation by 0.03125 to get x

i need the answer to the bottom question please help !!!!!!!!!!!!!!

Answers

Answer:

y = 9/17 x - 28/17

Step-by-step explanation:

The graph of y = x2 + 4x + 3 is shown.
a) What are the coordinates of the turning point?
b) What are the coordinates of the roots of the equation x + 4x + 3 = 0 ?

Answers

Answer:

a.(-2,-1)

b.(-3,0) and (-1,0)

Step-by-step explanation:

the roots are 2

The length of a rectangular garden is 5 less than triple
its width. If the perimeter of the garden is 70 feet,
find the dimensions of the garden algebraically.

Answers

Answer:

Width = 10 feet, Length = 25 feet

Step-by-step explanation:

the width is x

the length is 3x-5

so, 2(x+(3x-5))=70 is the equation

2(x+3x-5)=70

2x+6x-10=70

8x-10=70

8x=10

x=10.

Width = 10 feet

Length = 25 feet

Sixty tickets at $90 each cost

Answers

Cost of 1 ticket = $ 90

Cost of 60 tickets = ?

Cost of 60 tickets = 90 × 60 = $ 5400.

Answer:

5,400

Step-by-step explanation:

well, if they're sixty tickets and each cost approx. $90, which means it's 60 x 90, and that gets to 5,400.

List the terms in the expression xyz+1

Answers

Answer:

see explanation

Step-by-step explanation:

xyz + 1 ← has 2 terms

xyz is one term and the other is the constant term + 1

Other Questions
How might the commercial fishing industry be affected? please help me, thank you! :) How does one control their own individual interests for the collective group as implied in the United States? How did the Open Door Policy differ from the policies of otherimperialist nations? We, the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution of the United States of America.How did the 15th, 19th, and 26th Amendments expand the "Blessings of Liberty" to more of the United States' population? It was -12 degrees Fahrenheit last night. The weatherman predicts that it will be 25 degrees warmer by noon. What will the temperature be by noon? What is the number 18 written in a+bi form The ceramic figures above were created during the Neolithic period.- True- False Someone plsss help me with this I will make you brain ___(Ser) un ___(event) especial en cuba. Identify the parallel lines. The American Civil War was followed by an economicIn America, driven by the explosion of newrailroad construction. However, while Investment in the railroads was booming, it was high-risk. Driven by cashInvestments, the lack of an immediate return on investment eventually led to ashortage. Which of the following is the best definition of "Industrial Revolution"? A) An increase in factory-based manufacturing that capitalized on new forms of energy(like coal)B) The creation of new inventions like gunpowder and the printing press.C) A revolution in creating new products fueled by internet sales.D) The revival of "industrial" style religious beliefs, like Agnosticism Luis va desde su casa a la escuela en un tiempo de 10 minutos, el cual recorre un tramo recto de 600m., y una ves ya llega a la escuela, se da cuenta que tiene que ir a la papelera a imprimir y se devuelve 150m., para lo cual dura 1.5 minutos. Determine la rapidez y la velocidad promedio al recorrido Ayudaaaaa Someone help me I will make you brain Write the equation parallel to y=1/4x (meaning with a slope of 1/4) but passing through the point (12,1). Create a vertical timeline that tells the story of African American resistance to slavery. Include no fewer than five key dates on thetimeline. In your captions for your key dates, include at least five people or organizations discussed in the reading. Help meeeeeeeeeeeeeee A 220g mass is on a frictionless horizontal surface at the end of a spring that has a force constant of 7.0N/m The mass is displaced 5 2m from its equilibrium position and then released to undergo simple harmonic motion. At what displacement from the equilibrium position is the potential energy equal to kinetic energy? How can we preserve our traditional occupations?