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

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]

After the translation:

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

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

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

Answer:

5 only

Step-by-step explanation:

Answer:

5 only

Step-by-step explanation:

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 .

To learn more about Angle of elevation from the given link.

https://brainly.com/question/27702971

#SPJ1

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.

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

Answer:

1 is factors of this question

Answer:

a.option is your answer

Answer:

  y = x² -6x +12

Step-by-step explanation:

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

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

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

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

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.

To learn more about trigonometric identities visit:

brainly.com/question/24496175

#SPJ1

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:

Answer:

7k is the answer

Step-by-step explanation:

-k -(-8k)

-k+8k

7k

Answer:

1 line of symmetry

Step-by-step explanation:

picture has only vertical symmetry

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

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

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).

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.

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

A) This is an independent event.

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

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.

Learn more about probability

https://brainly.com/question/30034780

#SPJ1

Answer:

264cm^3

Step-by-step explanation:

8 × 5 × 5 = 200

8 × 1 × 8 = 64

200 + 64 = 264

Answer:

B and D

Step-by-step explanation:

Answer:

19 meters

Step-by-step explanation:

1. 35×2= 70

2. 108-70=38

3. 38÷2=19

I hope that helped☺

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

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

Learn more about standard deviation at

brainly.com/question/475676

#SPJ1

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:

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

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.

Answer:

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