Can someone please write this as a single logarithm and show work please and thank you

Answer: A=113.1cm

Step-by-step explanation:

Answer:113.14

Step-by-step explanation:

π=22/7

Area=πr2

Area=22/7×(6)2

22/7×36=113.14

The vertical asymptotes are x= 0 and x = -1 option (D) and option (F) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

F(x) = (x-5)/3x(x+ 1)

To find the vertical asymptotes:

3x = 0

or

x = 0

x + 1 = 0

or

x = -1

Thus, the vertical asymptotes are x= 0 and x = -1 option (D) and option (F) are correct.

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Answer:

16 cars

Step-by-step explanation:

Answer:

Easy 45-29=16.

Step-by-step explanation:

Answer:

324 square meters

Step-by-step explanation:

Answer:

angular velocity = 12π Radians per second

Step-by-step explanation:

The angular velocity is a measure of the rotation/revolution speed of an object, relative to another point.

In order to present the answer in radians per second, let us first establish the relationship between radians and rotations/revolution.

one complete revolution = 360° = 2π Radians

∴ 1 roration = 2π Radians

12 rotations = 12 × 2π Radians = 24π Radians

Angular velocity in radians = 24π Radians in 2 seconds

Now let us convert to radians per seconds.

24π Radians = 2 seconds

2 seconds = 24π Radians

∴ 1 second = (24π Radians) ÷ 2

1 second = 12π Radians

∴ angular velocity = 12π Radians per second

Step-by-step explanation:

1. making the equation:

shoes = x

shirts = y

175 = x + 3y

x = 4y

2. graph it (I'm using desmos)

the green line is for 175 = x + 3y and the purple one is for x = 4y

3. find the price

x = 4y

175 = 4y + 3y

175 = 7y

y = 175/7 = $25

price of the shirt = $25

x = 4y = 4*25 = $100

price of a pair of shoes = $100

Answer:

1/ 6

7/ 12

Step-by-step explanation:

Answer:

7a) 1/7

7b) 7/12

Step-by-step explanation:

For 7a) you know that the denominator of 5/6 is equal to 6 so that means you should make 1 have a denominator of 6. To do that, you have to multiply the denominator and the numerator by 6 to get 6/6-5/6=?. With this, you could easily solve the two fractions because they have equal denominators. You subtract the numerator and keep the denominator. 6-5=1 so the answer is 1/6.

For 7b) I would first convert 1 3/12 into an improper fraction. To do that, you have to multiply the whole number by the denominator then add the numerator. It will look like this 12x1+3/12 which is equal to 15/12. This makes the question easier to solve. You then want to convert 2/3 to have a denominator of 12. To do that, you have to multiply 4 on the numerator and denominator. This will turn the fraction into 8/12. After you do that, you can easily subtract the fractions again. you do 15-8/12 which is equal to 7/12.

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Answer:

choice 1) x = 2

Step-by-step explanation:

7x-6 = 12-2x    because point B is in the middle of AC

reduce:

add 2x to each side:

9x-6 = 12

add 6 to each side:

9x = 18

divide both sides by 9:

x = 2

Answer:

A

Step-by-step explanation:

its hard to explain but pretty much if you didn't know the ^x+1 is the x intercept except when its graphed its no marked at (1,0) its mark ate (-1,0) because it always takes the inverse

if you go over to the right 3 then your adding 3 to the x intercept or subtracting 3 from ^x+1 so it would be ^x-2

the y intercept part is easy all you have to do is subtract 2 from the y intercept so it would be +2

hope this helps :D

Answer:

yes equation A is your answer

Step-by-step explanation:

A camera is positioned 5000 ft from the base of a rocket launching pad. the angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. let's assume the rocket rises vertically and its speed is 800 ft/s when it has risen2548 ft. (round your answers to three decimal places.)

Answer: B

Step-by-step explanation:

We are given an angle and a distance, and to solve for the height we need to make a triangle.

First, I'm going to assign sides to the triangle:

Side a: This is going to be the distance from the camera to the launch pad.

Side b: This is going to be the distance from the launch pad to the rocket (the rocket's height)

Side c: This is going to be the distance from the rocket to the camera (this is the hypotenuse of the triangle)

Now that we have sides, we can solve for the height. The height is the distance from the launch pad to the rocket, so it will be side b. We know that the camera is 5000 ft away from the launch pad, so we can say that side a is 5000 ft. It also tells us the camera is angled up at 27 degrees, so we can say angle B is 27 degrees.

We have a known side that length that is adjacent to a known angle inside of a right triangle, and we want to find the length of the opposite side. In this situation we can use the function tangent.

tan(theta) = opposite / adjacent

If we plug values into this equation we get:

tan(B) = b / a

tan(27 degrees) = b / 5000

b = tan(27 degrees) * 5000

b = 2547.627

b rounded to the nearest foot is 2548 ft, which is answer B

Answer:

The area decreases.

Answer:

The area decreases.

Step-by-step explanation:

If we decrease both dimension on a figure, the figure is smaller.

Answer:  solving for x would be x ≤ 3

Step-by-step explanation:

Hope this helps! have a good day!

Answer:

Inequality form:

x≤3

Interval Notation:

(-∞,3]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Six bags.

Step-by-step explanation:

The greatest common factor of 18, 24, and 30 is 6.

He can make 6 bags. Each would have 5 chocolate chip cookies, 4 sugar cookies, and 3 peanut butter cookies.

Answer:wow

Step-by-step explanation:sad

Answer:

the bottom one 42.061

upper one 49/2pi = 76.969

Step-by-step explanation:

the bottom one

14^2 - 49pi = 42.061

upper one, put the shaded parts together and that forms a semicircle

49/2pi = 76.969

Answer:

m∠A = 9°

Step-by-step explanation:

[tex] \sin 7A = \cos 3A \\ \\ \sin 7A = \sin(90 \degree - 3A) \\ \\ 7A = 90 \degree - 3A\\ \\ 7A + 3A= 90 \degree \\ \\ 10A= 90 \degree \\ \\ A = \frac{90 \degree}{10} \\ \\ m \angle A =9 \degree[/tex]

Answer:

9

Step-by-step explanation:

get rid of the brackets

x-3=6

then add 3 to both sides

x=6+3

now add

x=9

your answer your looking for is

9

I hope this helps!!!

Have a good day!!

Answer:

100

Step-by-step explanation:

as in the tens place it is 2 its lesser than 5 so it will be 100

I hope im right!!

Answer:

125 rounded to the nearest hundred is 100.

Step-by-step explanation:

Have a nice day!!!

Answer:

All the four vertices of a quadrilateral inscribed in a circle lie on the circumference of the circle. The measure of an exterior angle is equal to the measure of the opposite interior angle.

Step-by-step explanation:

Answer:

x = -4/3

Step-by-step explanation:

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Answer:

20 weeks

Step-by-step explanation:

The calculation of The number of weeks it will take to save £360 is given below:

Now  $250 should be divided into a ratio of 3:2

He keeps = 150

And, he gives her = 100

As he saves 12% of his share

i.e.

= 12% of 150

= 18

Now the number of weeks is

= 360 ÷ 18

= 20 weeks

Answer:

c.

Step-by-step explanation:

a negative fraction is lower than a positive.

So its negative, then positive, then the biggest fraction, which is 3/2.

If you need more clarification, please let me know    :)

Mean of the data is 62.12, median is 60, mode is 53, range is 32, Q3 is 69.

Mean is the sum of numbers divided by the numbers. It is also known as average.

Fow calculating mean we have to find sum of  numbers which is calculated in figure as 1553.

Mean=1553/25=62.12

Mode is basically the number having higher frequency which is 53.

Median is[ (n+1/2)th term,(n/2)th term]/2

=(60+60)/2

= 60.

Range is basically the difference of smallest number and largest number divided by 2=82-49=32

Q3=3(N+1)/2

=3(25+1)/2

=18.5th term which is 69.

Hence mean of the data is 62.12, median is 60, mode is 53, range is 32, Q3 is 69.

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Answer: 8:50 am

Step-by-step explanation:

Well, you have to add the hours together, and remember that there is 60 minutes in an hour. You wouls get 5 hours and 35 minutes, or 5:35. You just count backwards from there. Hope this helped!

for y=2x the x intercept is 0 and the y intercept is 0. for 7y=6x-20 the x intercept is 3.1 and the y intercept is 3