Write 360 as a product of prime factors.
Give your answer in index form.​

Answer:

It would be 6.05m tall.

Problem 1

There's not much to say about these. You'll just have to memorize the terms. Note with standard form that the exponents decrease as you move from left to right (2,1,0).

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Problem 2

Other names for zeros are:

The term "root" is also applicable here.

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Problem 3

We set each piece equal to 0 and solve for x. This is the zero product property

f(x) = (x-2)(x+4)

0 = (x-2)(x+4)

(x-2)(x+4) = 0

x-2 = 0 or x+4 = 0

x = 2 or x = -4

The two x intercepts are located at (2,0) and (-4,0)

Answer: Choice C

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Problem 4

In the last problem, we found the two roots were x = 2 and x = -4

I'll let p = 2 and q = -4.

Average the roots to get (p+q)/2 = (2+(-4))/2 = -2/2 = -1

This is the x coordinate of the vertex. So h = -1

Plug this into the function to find k, which is the y coordinate of the vertex.

k = f(h)

k = f(-1)

k = (-1-2)(-1+4)

k = (-3)(3)

k = -9

The vertex is located at (h,k) = (-1, -9)

This is another way of saying the vertex is when x = -1 and y = -9

Answer: Choice C

Answer:

n = 50

Step-by-step explanation:

Let a be the first term and d be the common difference.

An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.

[tex]a_n=a+(n-1)d[/tex]

According to the given condition,

[tex]a_2=3\\\\a_{10}=-13[/tex]

or

[tex]a+(2-1)d=3\\\\a+d=3\ ...(1)\\\\a+(10-1)d=-13\\\\a+9d=-13\ ...(2)[/tex]

Subtract equation (1) from (2).

a+9d-(a+d) = -13-3

8d = -16

d = -2

Put the value of d in equation (1).

a+(-2) = 3

a = 3+2

a = 5

Now,

[tex]a+(n-1)d = -93\\\\5+(n-1)(-2)=-93\\\\5-2n+2=-93\\\\7+93=2n\\\\2n=100\\\\n=50[/tex]

So, 50th term has the value of -93.

Answer:

43%

Step-by-step explanation:

(40.76 - 28.50) / 28.5 = .43 or 43%

Step-by-step explanation:

cosA = AC² + BC²- AB² / 2 • AC • BC

cos A = 13.5²+23.9²-12.7²/2• 13.5 • 23.9

Answer:

$8 for 3 pounds

cost for p pounds: 3.50p - 2.50

Step-by-step explanation:

Cost of 3 pounds:

Original cost = Cost per pound x 3

= 3.50 x 3

= 10.50

Coupon = 2.50

Final cost = Original cost - Coupon

= 10.50 - 2.50

= $8

Cost of p pounds:

Original cost = Cost per pound x p

= 3.50 x p

= 3.50p

Coupon = 2.50

Final Cost = Original Cost - Coupon

= 3.50p - 2.50

Answer:14.7

Step-by-step explanation:

d = l^2+w^2+h^2 = 10^2+4^2+10^2≈ 14.69694cm

Answer:

A 12-kg load stretches an elastic the belt 0.03m

Step-by-step explanation:

we know A 8-kg load stretches an elastic belt 0.02 m.

=> 0.02 / 8 = 0.0025

so A 1-kg load can stretch an elastic belt 0.02 m.

=> 12 * 0.0025 = 0.03 m

A 12-kg load stretches an elastic the belt 0.03m

Answer:

answer should be 105 degrees.

Step-by-step explanation:

this is becuase the 75 degree angle given creates a 105 degree angle to its left. and the car turning left onto 3rd street would be a corresponding angle to the 105 degree angle on the top. sorry if its confusing, but the answer is 105 degrees. hope it helps

Answer:The angle formed by turning from traveling southwest on King Avenue to 3rd street is a corresponding angle to the 75° angle. This means its measure is 75°. here is your answer!

Step-by-step explanation:

Answer:

hope this helps you out good luck

1. Find an expression for a side length of the square.

For this case, the first thing to do is to know that the area of a square is:

A = L ^ 2

Where

L: side of the square.

We then have to factorize the given polynomial:

z ^ 2 + 12z + 36

(z + 6) * (z + 6)

Rewriting:

z ^ 2 + 12z + 36 = (z + 6) ^ 2

Answer:

The side of the square is:

L = (z + 6)

2. Find the perimeter when z = 12.

The perimeter of a square by definition is:

P = 4L

Where

L: side of the square.

Substituting we have:

P = 4 (z + 6)

For z = 12 we have:

P = 4 (12 + 6)

P = 72

Answer:

the perimeter when z = 12 is:

P = 72

             If helpful, please mark as brainliest! =)

Answer:

It's 8

Step-by-step explanation:

You can see that the second triangle is three times the size as the first so you divde the same side on the second triangle by 3

Answer:

A.

Step-by-step explanation:

Not reasonable, Why did you put that as your answer?

The whole numbers add up to more then 4 cups.

Answer:

Step-by-step explanation:

If you are looking for the value of x, use the Pythagorean Theorem.

x² = 58² - 40² = 1764

x = √1764 = 42

Answer: 42cm

Step-by-step explanation:

Using the formula

(Hypotenuse^2)= (Opposite^2) + (Adjacent^2)

Hypotenuse= 58cm

Opposite= 40cm

Adjacent= x

Therefore

(58^2)= (40^2) + (x^2)

3364= 1600 + x^2

3364-1600= x^2

1764= x^2

x= 1764^1/2

x= 42

Adjacent= 42cm

[tex]\boxed{\color{hotpink}\tt18.75\%} [/tex] of the drink is fruit juice

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

[tex] =\tt 650 + 150[/tex]

[tex] \color{plum}=\tt 800 \: ml[/tex]

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

[tex] = \tt\frac{x}{100} \times 800 = 150[/tex]

[tex] = \tt \frac{x \times 800}{100} = 150[/tex]

[tex] =\tt \frac{800x}{100} = 150[/tex]

[tex] =\tt 8x = 150[/tex]

[tex] =\tt x = \frac{150}{8} [/tex]

[tex]\hookrightarrow\color{plum} \bold{x = 18.75\%}[/tex]

Then, the percentage of water in the drink :

[tex] = \tt100 - 18.75[/tex]

[tex] \color{plum}= \tt81.25\%[/tex]

Thus, the percentage of water in the drink = 81.25%

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

Answer:

25 or 26

Step-by-step explanation:

add 9 plus 16

so it is 16

Answer:

15

Step-by-step explanation:

Answer:

-14 or -28

Step-by-step explanation:

2x-8=-16

4x-3=-12

-16-12=28

-16-(-12)=-14

Answer:

b is correct because it is

Step-by-step explanation:

because it is

Answer:

Step-by-step explanation:

well its quite long working out so im not gonna type it

but i didnt get an exact answer but i got to 24.71 closest to the 25 answer

so im not sure but i would take a guess for 25

Answer:

how did you get the graph on here

9514 1404 393

Answer:

  is no extraneous solution

Step-by-step explanation:

An absolute value equation typically does not have extraneous solutions. The solutions to this one are ...

  x ∈ {-5, 1}

__

Unless there is some domain restriction, this equation has no extraneous solutions.

_____

For -2x-4 < 0

  -2(2x +4) = -12

  x +2 = 3

  x = 1 . . . . . . -2(1)-4 = -6 < 0. Not an extraneous solution

__

For -2x-4 > 0

  -2(-2x -4) = -12

  4x +8 = -12

  4x = -20

  x = -5 . . . . . . -2(-5) -4 = 6 > 0. Not an extraneous solution

Answer:

YesUs

Step-by-step explanation:

the vertical LIne test. The lines intercept, so it is not a function.

Answer:

the opposite and symmetrical of the given number is 2

Step-by-step explanation:

The computation of an opposite and symmetrical of the given number is shown below:

81:3^4 + 3^0

81:81+1

1 + 1

= 2

Hence, the opposite and symmetrical of the given number is 2

Step-by-step explanation:

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

There are a lot of tiles to drag onto the board.

You would need to create a rectangle from 99 tiles.

80 is a multiple of 10, so it has factors of 10 and 8, which add to 18.

Answer:

The median is 6. The Mean Absolute Deviation is 1.88. The range is 10. I believe the IQR is 5.

Step-by-step explanation:

the median is just the number that falls in the center of a data set. The Mean Absolute Deviation is the distance of the data points from the mean. So, find the sum of the differences of each data point from the mean and divide it by the number of data points. Range is the difference between the smallest and largest values in a data set. The interquartile range is the middle of the data.  it is a measure of how widely the middle half of the data is spread around the median.

Answer:

the median is 6, range is 10, the iqr is 6 and the MAD is 1.9378698224852

Step-by-step explanation:

Range

10 - 0 = 10

IQR

median/2

6/2=3

6+3=9 6-3=3

9-3=6

Median

put numbers in ascending order

04445555555566678888899101010

find centre number

6

Answer:

The correct answer is C

Positive

Answer:

I'm not so sure but I think it's 6 or 9i

Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

Learn more about unit conversion here:

https://brainly.com/question/13899873

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