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

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.

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

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*

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

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

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:

Compare 9/15 and 10/15

Answers

Answer: 9/15 < 10/15

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

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

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

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]

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

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.

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

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

Answers

Answer:

y = 9/17 x - 28/17

Step-by-step explanation:

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:

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

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

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

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

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!

(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 :)

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:

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

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

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.

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

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:

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

will mark brainliest ​

Answers

Answer:

148 deger ❤❤❤❤❤❤❤❤❤❤

32 meter

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

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