If 16^x=13. what is the value of 2^2x+1

If 16^x=13. What Is The Value Of 2^2x+1

Answers

Answer 1

[tex]16^x=13\implies (2^4)^x=13\implies ((2^2)^2)^x=13\implies ((4)^2)^x=13 \\\\\\ 4^{2\cdot x}=13\implies 4^{x\cdot 2}=13\implies \left[4^x \right]^2=13\implies \boxed{4^x}=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ 2^{2x+1}\implies 2^{2x}\cdot 2^1\implies (2^2)^x\cdot 2\implies 4^x\cdot 2\implies \boxed{\sqrt{13}}\cdot 2\implies 2\sqrt{13}[/tex]


Related Questions

What interest rate will save you the most money if you carry a balance on a loan from one month to the next?

A. Simple interest rate

B. Effective rate

C. Compound interest rate

D. Annual percentage yield

Answers

The interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

While carrying the balance on a loan from one month to the next month, the compound interest rate is better, as it allows the funds to grow faster than the other rate mentioned.

Thus, the interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.

Learn more about the compound interest here;

https://brainly.com/question/24274034

help for most brain! lol

Answers

Answer:

Im pretty sure it's false because 7.4p could 74, 148, 222 or 296. so it would be the other way around. It's false.

Step-by-step explanation:

Find the average of 10, 18 , and 23

Answers

Answer:

17

Step-by-step explanation:

(10+18+23)/3

=51/3

=17

HELP LAST ATTEMPT!!!!

Answers

Answer:

(6,-2)

Step-by-step explanation:

What is the best estimate of 687 × 391?

280,000
210,000
240,000
180,000

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Original equation/problem:}[/tex]

[tex]\mathbf{687\times391}[/tex]

[tex]\mathbf{= 391\times687}[/tex]

[tex]\mathbf{= 268,617}[/tex]

[tex]\huge\textbf{Now, we're going to solve for your}\\\huge\textbf{question:}[/tex]

[tex]\huge\text{Assuming you want us to estimate to the}\\\huge\text{nearest hundred. So we will do so, because}\\\huge\text{it is easier to understand it like that.}[/tex]

[tex]\mathbf{687 \rightarrow 700}\\\mathbf{391\rightarrow 400}[/tex]

[tex]\huge\textbf{New equation:}[/tex]

[tex]\mathbf{700 \times 400}[/tex]

[tex]\mathbf{= 400\times700}[/tex]

[tex]\mathbf{= 280,000}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A.\ 280,000}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Describe a situation that could be represented
by 8

Answers

One student scored 92 percent in his math class. Another scored 100 percent in the same class.

By how much did the other student score higher than the first?

⇒ 8%

I hope this helps!

Thirty students were sent home for a week with a video game to play. Some were sent home with video game A, others with game B. The number of hours they spent playing the game is recorded below. Which game has a higher median number of hours, and how much higher is it than the median number of hours for the other game

Answers

Answer:

U never showed the thing below.

Step-by-step explanation:

Select all the correct answers.
Which statements are true about function g?

Answers

Answer:

i need the question

Step-by-step explanation:

WILL GIVE BRAINLIEST AND WORTH 20 POINTS! A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at 60 mph, at what time will the second train catch up with the first?

Answers

Answer:

the second train will Cath up with the first after 15 hours hence time will be at (5pm+15hours= 8:00am

Step-by-step explanation:

16 is 4% of what number?​

Answers

Answer:

400!

Step-by-step explanation:

16 times 25 is 400, therefore 16 is four percent of 400! Also, when finding out 4% of something, divide it by 25. When fiding 25% of something, divide it by 4!

16 is 4 percent of 400 as per the concept of percentages.

16 is 4% of 400.

To determine the number that 16 is 4% of, we can set up a proportion using the concept of percentages. Let's denote the unknown number as "x." The proportion can be written as:

16/x = 4/100

To solve this proportion, we can cross-multiply:

16 (100) = 4x

1600 = 4x

To isolate x, we divide both sides of the equation by 4:

1600/4 = x

x = 400

Therefore, 16 is 4% of 400.

To verify this, we can calculate 4% of 400:

4/100 x 400 = 0.04 x 400 = 16

As we can see, 16 is indeed 4% of 400.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ6

what is 2/7 divided by 4

Answers

I think the awnser would be 2/28

Answer:

2/7 ÷ 4= 2/7 × 1/4

=2/28

...................................

Does the angle have to be

Answers

Answer:

Number 4

Step-by-step explanation:

Side-Angle-Side, it has to be between the two sides.

Given A(-4-5), B(8,-1), C (-5, 9), and D (2,8) determine whether AB is parallel,
perpendicular, or neither to CD

Answers

Answer:

neither

Step-by-step explanation:

If 2 lines are parallel then their slopes are equal

If 2 lines are perpendicular then the product of their slopes = - 1

Calculate the slopes m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )

[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]

Repeat

with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )

[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]

The slopes are neither equal nor have a product of - 1

a. A teacher has 5 rulers. Each
ruler is one foot long and 3 of
them are plastic. What is the total
length of the rulers if they are
laid end to end?
Х
=

Answers

Answer:

5

Step-by-step explanation:

Since each is 1 foot long and there is 5, then, the total length is 5

Can some one double check this for me?

Answers

Answer:

Yep everything is correct!

You jsut multiply the beginning value with out the “0”

And then after that for every zero you see from 10-10000 just add the amount of “0”s.

Answer:

its all correct !!

Step-by-step explanation:

good job!

mark me brainliest :D

HELP PLEASE NO LINKS!!!

Answers

Answer:

D. 1/(3^8)

Step-by-step explanation:

^^^This is the answer

What is the advantage of opening a credit card account at a young age?
A. It helps people begin to build a credit history.
B. It helps people begin to accumulate debt.
C. It allows people to take advantage of high interest rates.
D. It allows people to defer their tax payments.

Answers

Answer:

A. it helps people begin to build credit history.

Step-by-step explanation: It wants to know an ADVANTAGE! B is NOT an advantage. C high interest rates are very bad and make you pay more so its not C. D do i even really have to explain? lol the correct answer is A :)

Answer:

A. It helps people begin to build a credit history.

Step-by-step explanation:

Given that g(x)=3x - 12, what is the value of x when g(x)=-27?

Answers

Answer:

x = -5

Step-by-step explanation:

If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12

Solve for x

     -27 = 3x -12, add 12 to both sides

-27+12 = 3x, add -27+12

     -15 = 3x, divide both sides by 3

      -5 = x

Answer:-93

Step-by-step explanation:

g(x)=3x-12

g(x)=3(-27)-12   -  Substitute

g(x)=-81-12        -  Multipy

g(x)= -93             - Add

What is 6 3/4 percent of 800

Answers

Answer:

319973/400

Step-by-step explanation:

800 - 27/4%

800 - ( 27/4 × 1/100)

800 - 27/400

= 319973/400

Answer this problem y =-7/5x-1/5

Answers

Step-by-step explanation:

y=-7/5x-1/5

=-7×5/5x-1

=-35/5x-1

What is 6/9 divided by 1/3

Answers

Answer:

2

Step-by-step explanation:

6/9÷1/3

Keep Change Flip

6/9 x 3/1

Multiply.

6/3

=2

Hope this helps :)

Answer:

2

Step-by-step explanation:

we have[tex]\frac{6/9}{1/3}[/tex] . dividing by a fraction is the same as multiplying by the reciprocal. so [tex]\frac{6/9}{1/3}[/tex]= (6/9) * 1/(1/3) = (6/9) * 3. we can also simplify 6/9 to 2/3 by taking 3 out of the numerator and denominator. now we have (2/3) * 3 which equals 2

Toothpaste Ken is traveling for his business. He has a new 0.85-ounce tube of toothpaste that’s supposed to last him the whole trip. The amount of toothpaste Ken squeezes out of the tube each time he brushes varies according to a Normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces. If Ken brushes his teeth six times on a randomly selected trip, what’s the probability that he’ll use all the toothpaste in the tube?

Answers

Using the normal distribution, it is found that there is a 0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When a variable is multiplied by a constant, both the mean and the standard deviation are multiplied by the constant.

In this problem:

Brushes 6 times.Each time, mean of 0.13 ounces, hence, for the 6 times, [tex]\mu = 0.13(6) = 0.78[/tex]Each time, standard deviation of 0.02 ounces, hence, for the 6 times, [tex]\sigma = 0.02(6) = 0.12[/tex].

The probability that he’ll use all the toothpaste in the tube is 1 subtracted by the p-value of Z when X = 0.85, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.85 - 0.78}{0.12}[/tex]

[tex]Z = 0.583[/tex]

[tex]Z = 0.583[/tex] has a p-value of 0.7202.

1 - 0.7202 = 0.2798

0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.

A similar problem is given at https://brainly.com/question/24663213

$332.8 30percent off

Answers

Answer:

232.96$

Step-by-step explanation:

Find the product. Simplify your answer.
(2c+3)(3c+1)

Answers

The answer is located two blocks left of the fire department and 3 half blocks up from the grocery store. There, you will find a bearded man. He will bless you with the word of God. Within that word of God, will contain the the answer isn’t that hard to find.

HELP ASAP PLSSSSS I NEED IT

Answers

Answer: B) 5/24

========================================================

Explanation:

The notation [tex]P(\text{blue, not 2})[/tex] is asking for the probability of landing on a blue space and having the dice show a value that isn't 2. That means we can roll any of the following: {1,3,4,5,6}.

The probability of landing on blue is 1/4 since there's one blue space out of four total. This is assuming all four spaces are equal in area. The probability of landing on anything but "2" is 5/6 because there are five sides that aren't labeled "2" out of six sides total.

Multiply the fractions found: (1/4)*(5/6) = (1*5)/(4*6) = 5/24

PLEASE HELP PLEASEEEE

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

[tex] - {x}^{3} - 3 {x}^{2} + 4x[/tex]

Central/Inscribed angles w work pls i beg last one

Answers

Answer:  346/45

=======================================================

Explanation:

Let point A be the center of the circle.

The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.

angle CAD = 2*(angle CED)

angle CAD = 2*(7x+6)

angle CAD = 14x+12

Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.

-----------

The three arc pieces CE, ED and CD all combine to form a 360 degree circle.

(arc CE) + (arc ED) + (arc CD) = 360

(18x+1) + (13x+1) + (14x+12) = 360

(18x+13x+14x) + (1+1+12) = 360

45x+14 = 360

45x = 360-14

45x = 346

x = 346/45

This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.


[tex]1 - 25x {}^{2} [/tex]
what's the answer po?

Answers

Solution:

[tex]1 - {25x}^{2} \\ = (1)^{2} - (5x {)}^{2} \\ = (1 - 5x)(1 + 5x)[/tex]

Answer:

(1 - 5x)(1 + 5x)

Hope it helps.

Do comment if you have any query.

A suit was marked with a 20% discount.
If the discount is $26.00, what was the original price of the suit?

Answers

Answer:

130

Step-by-step explanation:

Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew.

How many sit-ups did Matthew complete?

Answers

Mathew completed 14 sit-ups.
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