There are 13 books on your shelf, and you will take 5 of them on vacation with you.

How many ways can the books be chosen?

Answer:

a is greater or equal to 4

Step-by-step explanation:

Condense the right side a single sine expression:

sin(6x) - cos(6x) = R sin(6x - t)

Expanding the right side gives

sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)

Then we have

R cos(t) = 1

R sin(t) = 1

Solve for R and t:

(R cos(t))² + (R sin(t))² = 1² + 1²

R² = 2

R = √2

and

(R sin(t))/(R cos(t)) = 1/1

tan(t) = 1

t = arctan(1) = π/4

So we rewrite the equation as

√2 sin(6x - π/4) = √2

Solve for x :

sin(6x - π/4) = 1

6x - π/4 = arcsin(1) + 2nπ

(where n is any integer)

6x - π/4 = π/2 + 2nπ

6x = 3π/4 + 2nπ

x = π/8 + nπ/3

Answer:

A

Step-by-step explanation:

y = - 1.7x + 8.5 ( add 1.7x to both sides )

1.7x + y = 8.5 ( multiply through by 10 )

17x + 10y = 85 → A

The rate of change is in Y over the change in X.

Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.

X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)

The rate of change is 24 / 3 = 8.

The answer is 8 dollars per hour.

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.

At the end of the night, the driver calculates his profits and makes a graph to analyze the data.

The rate of change is in Y over the change in X.

Y is the dollar amount at 4 = 78 ,

at 1 = 54

the change is 78 - 54 = 24.                                        

X is the time the change from 4 to 1 = 3

The change is ( 4 - 1 = 3)

The rate of change = 24 / 3 = 8.

Therefore, The answer is 8 dollars per hour.

Learn more about the unitary method;

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Answer:

12 shirts

Step-by-step explanation:

I used the method keep, change, flip (KCF) to divide fractions and solve this problem.

This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.

so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.

that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts

Answer:X= -4

Step-by-step explanation:

6 less than the product of a number and 3 is -18.

Make each part of the sentence into numbers:

"the product of a number and 3":  becomes X*(3), where X is the "number."

"6 less than":  is -6, so we have:

X*(3) - 6

"is -18"  means = -18

Put the segments into one equation and solve:

X*(3) - 6 = -18

3X-6=-18

3X = -12

X = -4

====

See if this works:  If X=-4, then the product of it and 3 is -12.  Six less than -12 is -18.  And that is correct.  X= -4

Answer:

64h^2.

Step-by-step explanation:

4 ^3 = 64

h(2/3)^3 = h ^(3*2/3) = h^2.

29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.

Answer:

15 cents a minute

Step-by-step explanation:

9 ÷ 60 = $0.15

Answer:

A & C are correct.

Step-by-step explanation:

Yes, I can help!

Absolute value makes any number positive.

12 < 50 (yes)

12 < 50 (yes)

12 > 50 (no)

12 > 50 (no)

You are welcome!

Kayden Kohl

8th Grade Student

Answer:

3780

Step-by-step explanation:

10500 x 9% x 4 divided by 100=3780

The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.

The formula to determine the total surface area of an open cylinder is given as:

2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =

where: r is the radius, and h is the height of the cylinder.

The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:

Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)

                               = 0.8297

The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].

Total surface area of the ten cylinders = 10 x 0.83

                                                   = 8.3 [tex]m^{2}[/tex]

Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:

x = 8.3 x 150 g

  = 1245 g

x = [tex]\frac{1245}{1000}[/tex]

  = 1.245 Kg

Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.

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Answer:

nearest whole number would be 340816

Answer:

340,816

Hope this helps :)

Answer:

mixed no. 51/10

Improper fraction 5/1/10

Answer:

We'll calculate ru:

RU^2 = 65^2 - 52^2

RU^2 = 1,521

RU = 39

SU^2 = 89^2 -39^2

SU^2 = 7,921 - 1,521

SU^2 = 6,400

SU = 80

Step-by-step explanation:

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

Step-by-step explanation:

a. count the dots, that will be total customers surveyed  = 15

b. one customer purchased 11 items - 11

c. count how many dots under 9 - 2

d. at least 5, meaning ppl buying 5 or more items, count dots greater than 5

  - 7

e. Median means middle number, arrange in order

0,1,2,2,3,3,3,3,5,5,7,7,9,9,11, so middle number is : 3

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

hope this helps :)

Answer: main

Step-by-step explanation:

Answer:

yeah it's main it cuts up through oak and elm

Answer:

0

Step-by-step explanation:

Absolute values can't have negatives as answer. Useful tip, If there is a negative as an answer for absolute value, there is no solution, if it has 0 as an answer, there is 1 solution, and if it has a positive as answer, then it will have 2 solutions.

Answer:

y = j - rx/c

Step-by-step explanation:

Answer:

22w - 18  

Step-by-step explanation:

To find the perimeter we have to add up all the sides

10w-10+w+1+10w-10+w+1

combine light terms

22w - 18 would be our answer

Brainliest please

Answer:

1)YES:This is a decimal neither terminates nor repeats

2)YES:Repeating decimal

3)NO: Terminating decimal

4)YES: this is a decimal neither terminates nor repeats.

Step-by-step explanation:

Hope it can help you lovelots

Answer:

ancho: 12 cm

Largo: 14 cm

Step-by-step explanation:

[tex]P=2a+2l[/tex]

[tex]l=a+2[/tex]

[tex]P=2a+2(a+2)=2a+2a+4[/tex]

[tex]P=4a+4[/tex]

[tex]52=4a+4[/tex]

[tex]52-4=4a[/tex]

[tex]48=4a[/tex]

[tex]48/4=a[/tex]

[tex]12=a[/tex]

largo = ancho + 2 = 12 +12 = 14 cm

Hope this helps

Answer:

C. .45

Step-by-step explanation:

Think of it like this: that is 45 hundredths and you are trying to find what 45% is and it is like 45/100 so .45 is your answer.

answer c=0.45

0.45 is equal to 45%.

Step-by-step explanation:

18 cm is the correct answer

Step-by-step explanation:

as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.

(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²

(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3

(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4

Answer:

40 years

Step-by-step explanation:

I think 1 score is 20 years

so 2 scores = 2 x 20 = 40 years

I may be wrong so someone check

-Chetan K

Answer:

1. so the express of the shaded region would be

10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x

so 60x-8x

2.

the perimeter is 6*2 bc two sides so 12

and 10x *2 bc two sides 20

so 20x+12 would be the perimeter

Answer:

Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)

Step-by-step explanation:

Answer:

can u take pic again?

Step-by-step explanation:

Answer: It all depends on what type of number line you're doing.

Step-by-step explanation: