Solve the exponential equation. 1/16 = 64^4 x − 3

Answers

Answer 1

Answer:

x=7/12

Step-by-step explanation:

1/16=64^4x-3

1/4^2=(4^3)^4x-3

4^-2=(4^3)^4x-3

4^-2=4^3*(4x-3)

Since the bases are equal (to 4), the exponents must be equal to each other.

-2=3*(4x-3)

-2=12x-9

-2+9=12x

7=12x

7/12=x

x=7/12

So the answer is x=7/12

Please mark me brainliest if this helped!

Related Questions

Josephine wrote the numbers 1-100 and placed them in a bag.If she selects a number without looking what is the probability that the number is greater than 78

Answers

There are 100 total numbers in the bag, and 23 of them are greater than 78 (79, 80, 81, etc.), so the probability of selecting a number greater than 78 is 23/100, or approximately 0.23. You can also express this probability as 23%, or approximately 23%.

Anyone read tgcf/heaven officials blessing??

Answers

It’s A I did the same thing as u

Pls help me ! I rlly need help on this have a great day or night

Answers

link below!!!!!!!!!!!

-k -(-8k)
HELP PLS !!

Answers

Answer:

7k is the answer

Step-by-step explanation:

-k -(-8k)

-k+8k

7k

Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and has a mean of 50. Database B also has 40 entries made up equally of the values 49 and 51 and also has a mean of 50. Which database will have the smaller value for its standard deviation?

Answers

If we compare the given values then we can find that database B is more likely to have a smaller standard deviation.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Given that the values in database A are 0 from 100 and have a mean of 50 and Database B has entries from 49 to 51 and also has a mean of 50.

We are required to find the database whose standard deviation is lower.

Standard deviation measures the variation of values. It is calculated after finding the mean. The square of a standard deviation is known as a variance.

Database A has values from 0 to 100 and has a mean of 50. Because the values are somewhat very larger than 50 and database B has values from 49 to 51, there are more chances that the standard deviation of database B will have a smaller value than the standard deviation of database A.

Hence if we compare the given values then we can find that database B is more likely to have a smaller standard deviation.

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PLEASE HELP ME ASAP

Select all the key features of the graph of the equation.

Answers

The key features of the graph of the given equation -8x + 20y = 240 include the following:

D. As x → -∞, y → ∞.

E. The y-intercept is (0, 12).

H. The x-intercept is (-30, 0).

How to determine the key features of this equation?

Making y the subject of formula in order to determine the slope, we have:

20y = 8x + 240

Dividing both sides of the equation, we have:

y = 8x/20 + 240/20

y = 8x/20 + 12

Therefore, the slope is equal to 8/20.

What is y-intercept?

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

When x = 0, the y-intercept is given by;

20y = 8(0) + 240

y = 240/20

y = 12.

Therefore, the y-intercept is equal to (0, 12).

When y = 0, the x-intercept is given by;

-8x + 20(0) = 240

x = -240/8

x = -30

If the probability of an outcome is 2/9, what are the odds against that outcome?

Answers

Answer:

7/9

Step-by-step explanation:

If the chances of an outcome are 2/9, the odds against it can be found by subtracting that from 1.

1 - 2/9

= 7/9

So, the odds against that outcome are 7/9

Multiply the fractions. Select the answer that is in simplest form.
1
1
5- X 1 = ?
2
4
OA.
1
5
8
OB
1
6
4
OC.
7
6-
8

Answers

Answer:

1 is factors of this question

Answer:

a.option is your answer

What is the value of n?
n = 5
-5 only
0 and 5
5 only
-5 or 5

Answers

Answer:

5 only

Step-by-step explanation:

Answer:

5 only

Step-by-step explanation:

Find the value of the trigonometric ratio.

Answers

Answer:

A) 12 / 13

Step-by-step explanation:

The Sine of a number is defined as the ratio of the length of the side opposite the angle, divided by the length of the hypotensue.

will give 33 poits and will be marked brainliest please solve this and post answer is it and explain how you got it.

Answers

Answer:

9.85

Step-by-step explanation:

With all the data we get:

0.4+1+0.6+0.85+0.85+0.95+2+1.05+1.05+1.1

Add them all up and you get:

9.85

I did not do this on paper, but on a calculator, to make sure my answers were correct.

happy learning!

--Applepi101

Answer:

9.85 inches

Step-by-step explanation:

Total amount rain that fell in desert :

Amount of rain in inches * number of times recorded in the year

Amount of rain is on the horizontal axis

Number of times is given by the number of dots on each Rainfall amount.

Therefore ;

(1*0.4) + (2*0.5) + (1*0.6) + (2*0.85) + (1*0.95) + (2*1) + (2*1.05) + (1*1.1)

= 9.85 inches

Easy Cooking is a cooking supply company. Last year, the company sold 32,010 ovens. This year, they sold 30% fewer ovens than that. How many ovens did they sell this year?

Answers

Answer:

9,603 ovens

Step-by-step explanation:

Given:

Last year ---> 32,010 ovens

This year ---> 30% of last year

Question:

How many ovens did they sell this year?

Work:

To find out how many ovens they sold this year, all of you have to do is just multiply 30% by 32,010, the amount of ovens they sold last year

32,010 * 0.3 = 9,603

Solution:

Easy Cooking sold 9,603 ovens this year.

Hope this helped! :D

Y=(x-3)^2+3
vertex form to standard form

Answers

Answer:

  y = x² -6x +12

Step-by-step explanation:

You want the quadratic equation Y=(x-3)^2+3 written in standard form.

Standard form

Depending on where you go to school, the given equation may already be in standard form.

Other places, standard form means the equation is simplified and terms are written in order of decreasing degree.

  y = (x -3)² +3 = (x² -6x +9) +3

  y = x² -6x +12

Given that cot 0 =
5
-, find csc 0.
√11

Answers

According to the given cosecant function the value of csc 0 is equal to 6/5.

What is the cosecant function?

The sine function has a reciprocal called the cosecant function. The cosecant function is the hypotenuse divided by the opposite side, just like the sine function is the opposite side divided by the hypotenuse. The hypotenuse and legs are terms for the two sides that are not at the right angle.

It is given that:

[tex]cot\ 0=\sqrt{\frac{11}{5} }[/tex]

According to trigonometric identity,

[tex]csc^2\ alpha - cot^2\alpha = 1\\csc^2\ 0 -\frac{11}{25} =1\\csc^2\ 0 = \frac{36}{25} \\csc\ 0= \frac{6}{5}[/tex]

Therefore the value of csc 0 is equal to 6/5.

Complete question;

Given that [tex]cot\ 0=\sqrt{\frac{11}{5} }[/tex]

find csc 0.

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a bank account grows by 7% each year .by what percentage dose it grow each decade

Answers

Answer:

Each decade it grows by 10% because a whole decade is 10 years

70% because it is increasing by 7% each year. There are 10 years in a decade.

WILL GIVE BRAINLIEST
Q1) ABCD is a square. A is the point (-2,0) and C is the point (6,4). AC and BD are diagonals of the square, which intersect at M.
a) Find the coordinates of M,B and D.
b) Find the area of ABCD.

Answers

9514 1404 393

Answer:

  a)  M(2,2), B(4, -2), D(0, 6)

  b)  40

Step-by-step explanation:

a) The midpoint of AC is the average of the endpoint coordinates.

  M = (A +C)/2

  M = ((-2, 0) +(6, 4))/2 = (4, 4)/2

  M = (2, 2)

There are several ways to find points B and D. One of them is to rotate points A and C 90° about M. The 90° CCW rotation transformation about the origin is ...

  (x, y) ⇒ (-y, x)

About the point (2, 2), the transformation would be ...

  (x, y) ⇒ (-(y -2)+2, (x -2)+2) = (4 -y, x)

Rotating point A 90° to get point B, we have ...

  B = (4 -0, -2)

  B = (4, -2)

And rotating C to get point D, we have ...

  D = (4 -4, 6)

  D = (0, 6)

__

b) The area of the square is half the square of the diagonal. The square of the diagonal can be found using the distance formula ...

  d² = AC² = (6-(-2))² +(4 -0)² = 64 +16 = 80

Then the area is ...

  area = AC²/2 = 80/2

  area = 40 . . . . square units

Without looking, you get to choose twice. You will not put them back
each time, because that would be gross.
A) What kind of event is this (independent or dependent)?
B) What is the probability that you would draw 2 reds?

show your work and answer

Answers

A) This is an independent event.

B) The probability that you would draw 2 reds is 0.017

What is probability?

The likelihood of an event occurring is known as probability. You can determine how likely something is by asking someone what the probability of something happening is.

When people purchase lottery tickets, the likelihood of winning is typically stated, and it occasionally may be as low as 1/10,000,000. (or even worse). This informs you that there is a low likelihood that you will succeed.

There are 4 reds out 0f 30 colours

The probability of drawing red the first time is 4/30 = 2/15

The probability of drawing red on the 2nd time is 4/30 = 2/15

The probability of drawing red on the both draw is = 2/15 × 2/15

                                                                                     = 4/225

                                                                                     = 0.0170

Thus, The probability of drawing red on the both draw is 0.0170.

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Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

264cm^3

Step-by-step explanation:

8 × 5 × 5 = 200

8 × 1 × 8 = 64

200 + 64 = 264

The answer is 264 cm

What is 2/3 plus 1/5 equal

Answers

Answer: 13/15

Step-by-step explanation: Hope this helps, please mark brainliest and give thanks!

2/3+1/5

15÷3*2+15÷5*1

10+3/15

13/15

In a week, an airline operates a flight from San Francisco to New York once a day. The total travel times for this week are:

Sunday: 343 min.
Monday: 314 min.
Tuesday: 401 min.
Wednesday: 341 min.
Thursday: 359 min.
Friday: 407 min.
Saturday: 378 min.

What was the range of flight times for the route that week?

a. 66 min
b. 93 min
c. 29 min
d. 87 min

Answers

Answer:

To find the range of flight times, you need to find the difference between the shortest and longest flight times. The shortest flight time was on Monday at 314 minutes, and the longest flight time was on Friday at 407 minutes. The range is 407 - 314 = 93 minutes. The correct answer is therefore (b) 93 min.

Step-by-step explanation:

Mr. Harmon ordered calculators for his math class to use. He ordered a case of 24 calculators and paid a total
of $199.20.
What is the unit rate per calculator that Mr. Harmon paid?
$4.78
$8.30
$12.05
$17.52
HELP ME PLEASE

Answers

199.20 / 24 = 8.3

so the unit rate was $8.30

 Please tell me what question 4

Answers

Step-by-step explanation:

In my opinion I think the answer for this question is B you don't have to choose it because it might be wrong

The answer is D! Because it’s where the two lines intersect!

Ben is walking 150 miles in 31 days to raise money for a charity. He wants to walk the same distance each day. How far should he walk each day?

Explain what you did with the remainder and why.

Answers

If he wants to walk the same distance everyday, you should divide the number of miles on the days.
150/31 = 4.8 miles per day

The square root parent function is translated so that it has an endpoint located at (4,-1), then
vertically compressed by a factor of 1/3. Write an equation that could represent this function.
PLEASE HELP

Answers

Answer:

Step-by-step explanation:

[tex]parent~function~f(x)=\sqrt{x-4} -1\\new ~function ~g(x)=\frac{1}{3} \sqrt{x-4}-1[/tex]

Using translation concepts, an equation that could represent this function is:

[tex]f(x) = \frac{1}{3}(\sqrt{x - 4} - 1)[/tex]

The square root parent function is given by:

[tex]f(x) = \sqrt{x}[/tex]

The endpoint is (0,0).

What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

After the translation:

The endpoint is (4,-1), hence it was shifted 4 units right and 1 unit down, which means that the equation is now:

[tex]f(x) = \sqrt{x + 4} - 1[/tex]

Vertically compressed by a factor of [tex]\frac{1}{3}[/tex] means that it was multiplied by [tex]\frac{1}{3}[/tex], hence:

[tex]f(x) = \frac{1}{3}(\sqrt{x - 4} - 1)[/tex]

You can learn more about translation concepts at https://brainly.com/question/4521517

how many lines of symmetry dose this picture have??​

Answers

Answer:

1 line of symmetry

Step-by-step explanation:

picture has only vertical symmetry

What is an angle that is supplementary to HDI?

Answers

Answer:

hde

Step-by-step explanation:

they both add up to 180 since they're both on line BI

Answer:

<EDH

Step-by-step explanation:

When two angles are supplementary they sum to 180. This means together they form a straight line. So, to find the answer find the angle that connects to <HDI to create one straight line. In this case, that is <EDH because line EI is straight and the two aforementioned angles are the ones that create the line.

The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 1.75 miles from the base of the building. Using this information, find the height of the building.
Round to the nearest whole number.
Your answer is
Submit Question
feet.

Answers

The height of the building can be  649.44 ft

What is angle of elevation ?

angle of elevation states that the angle which is formed between line of sight and horizontal line.

Given,  the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.

height of the building is an unknown variable (x) .

tan(angle) = opposite length /adjacent length.

Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.

tan(4º) = x / 1.75

rearrange for x

x = 1.75*tan(4º) = ~1.75*0.0699  miles.

x = ~0.123

Now to get feet, just multiply by 5,280 ft in one mile

Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft

Hence , The height of the building can be  649.44 ft .

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PLSSSSSSSSSSS HELPPPPPPPPP

Answers

Answer:

B and D

Step-by-step explanation:

(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0

Answers

Answer:

(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0

2mx^2+x^2-2mx+5x+2m+1=0

3mx^2+5x+1=0

That's as far as you can get simplifying it.

Step-by-step explanation:

The perimeter of a rectangular lawn is 108 meters it is 35 meters long how wide is it

Answers

Answer:

19 meters

Step-by-step explanation:

1. 35×2= 70

2. 108-70=38

3. 38÷2=19

I hope that helped☺

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