Savannah is baking cookies with a recipe that calls for 6 cups of sugar to make 27 cookies. Savannah wants to make 72 cookies. How much sugar, in cups, does she
need?.

Answer:

Step-by-step explanation:

Use the cosine ratio, adjacent over hypotenuse. Plug in the values

cos70=x/25.5

Isolate x. Multiply both sides by 25.5

x=25.5*cos70

Enter the equation into a calculator

Answer:

314.961

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here the average rate of change would be

                  f(6) - f(1)      162 - (-8)

a. r. of c. =  ----------- = ------------------ = 154/5 = 308/10 = 30.8 or 30 8/10

                      6-1                  5                     or  30 4/5

Answer:

3 * 5 ^ (n-1)

Step-by-step explanation:

3 is the first term and it multiplies by 5

The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

The standard explicit formula for  a geometric sequence is expressed as:

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the sequence of numbers 3, 15, 75, 375...

r = 15/3 = 75/15 = 5

a = 3

Substitute the given parameters into the formula to have:

[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]

Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

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Answer: 16.1

Step-by-step explanation:

x^2 = 8^2 + (28/2)^2

x^2=64 + 196

x^2= 260

Take the square root of 260 and get 16.1!

The value of x is x=16.1

The perpendicular from the center of a circle bisects the chord

A line from the center of the circle to the circumference of the circle is the radius of the circle

Lets connect the center of the circle to the other end of the chord that is at the circumference of circle

The diagram attached below

The line OA from the center bisects the chord

AB= half of 28 = 14

the triangle AOB forms a right angle triangle

apply Pythagorean theorem to find out the value of x

[tex]x^2=8^2+14^2\\x^2= 64+196\\x^2=260\\\sqrt{x^2}=\sqrt{260} \\ x=16.1[/tex]

The value of x is 16.1

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Answer: 140 m3

Step-by-step explanation:

Multiply the area of the trapezoid face by the length .

Since the area is 20, you multiply it by 7 to get 140

Answer:

140 m^3

Step-by-step explanation:

This is a prism with a trapezoid base.

The volume if a prism is

V = (area of base) * height

The base is the trapezoid in the front face. The height is the distance between bases which is 7 m.

area of trapezoid = (b1 + b2)h/2

In the area of the trapezoid, h is the height of the trapezoid which is the distance between parallel bases. It is 4 m in this case.

V = (area of base) * (height of trapezoid)

V = (8 m + 2 m)(4 m)/2 * 7 m

V = 20 m^2 * 7 m^2

V = 140 m^3

Answer:

1. Z =  1.75

2. False Positive

Step-by-step explanation:

1. mean = 1750 calories

standard deviation, sd = 200 calories

value of interest, x = 2,100

z-score is computed as follows:

Z = (x - mean)/sd

Z = (2100 - 1750)/200

Z =  1.75

2. A false positive happens, when a negative case is detected as a positive case

Answer:

By finding the y- intercept in the graph.

Step-by-step explanation:

This is the only point in the graph that is on the y axis.

Answer:

C. 448 square centimeters

Step-by-step explanation:

38+18/2(16)

=448 square centimeters

:3

Answer:

x2 - 4x - 4

 ———————————

    x - 2  

Step-by-step explanation:

Answer:

B. Dan walked uphill, then downhill.

Step-by-step explanation:

The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!

Answer:

Step-by-step explanation:

48 + 14 / 2 =  31

Answer:

20

Step-by-step explanation:

To find Hypotenuse: Pythagorean Theroem

a^2+ b^2= c^2

The legs are A and B

The side that is directly across from the Right angle is C

12^2 + 16^2 =C^2

144+256=400

400 = c^2

Square root on both sides to get rid of c^2

The square root of 400 is 20

c=20

Answer:

20 feet

Step-by-step explanation:

c =  (a² + b²)

c=  (12^2 + 16^2)

c= square root (400)

c= 20

Answer:

x=2 is the true solution.

Step-by-step explanation:

We have been given the expression:

2\ln 4x=2\ln 8

Using:

n\ln m=\ln m^n

Our given expression becomes:

\ln{4x}^2=\ln{8^2}

Cancel ln from both sides we get:

4x^2=8^2

On simplification we get:

16x^2=64

x^2=4

Final simplification gives the result:

x=2

Answer:

x = 8

Step-by-step explanation:

2 In x=2 ln 8

Divide by 2

ln x = ln 8

Raise to the e base

e^ ln x = e^ ln 8

x = 8

Answer:

length of arc=2r+teete ×2πr

360

2×13+155°×2×22×13

360. 7

26+155°×572

360. 7

26+88660

2520

88686

2520

35.404

The answer is 3/8

because 2/4 × 2 = 4/8

7/8 - 4/8 = 3/8

Answer:

3/8 of a mile more

Step-by-step explanation:

2/4=4/8

7/8-4/8=3/8

Answer:

I believe it is C

Step-by-step explanation:

Hope this helps

and if it at all possible and you mark me brainlyest please

Answer:

5 pts isnt a lot but ok.. and yes it is c

Step-by-step explanation:

Answer:

x2 - 4x - 21

Step-by-step explanation:

Area = (x -7 )(x +3)

= x*x - 7*x + x*3 - 7*3

=x2 - 4x - 21

Answer:

v-19

Step-by-step explanation:

Answer:

It depends on what you mean.

Step-by-step explanation:

If its to separate questions,

1-2= 1

V-18= -13

If its one whole question then

1-2 - V-18= 14

1-2 / V-18= -0.07692307692

1-2 * V-18= -13

1-2 + V-18= -12

Hope this helps! :D

Answer:

1.61 * 10 ^8

3.3    * 10^-7

Step-by-step explanation:

Multiply the numbers  and then add the exponents

2.3 * 10^1  * 7 * 10^6

2.3 *7     * 10^(1+6)

16.1    * 10^7

We need to make this scientific notation by moving the decimal one place to the left and adding 1 to the exponent

1.61 * 10 ^8

Multiply the numbers  and then add the exponents

1.1* 10^-5    3*10^-2

1.1 *3     * 10^(-5+-2)

3.3    * 10^-7

Answer:

1. B

2. C

Step-by-step explanation:

1. 2.3 × 10¹ × 7 × 10⁶

2.3 × 7 × 10^(1+6)

16.1 × 10⁷

1.61 × 10⁸

2. 1.1 × 10^-5 × 3 × 10^-2

1.1 × 3 × 10^(-5-2)

3.3 × 10^-7

Answer:

-2

Step-by-step explanation:

The correct statement that Jose is supposed to have written is that  multiply each element in the domain by 5 and subtract 7

Given the linear function written by Jose expressed as f(x) = 5x - 7

Note that the expression is in form of a linear equation y = mx + b where:

x is the input value known as the domain

We are to write the function f(x) = 5x - 7 in words.

Let the domain variable be x

5x means that we are to multiply each element in the domain 5

For 5x - 7, we are to multiply each element in the domain by 5 and subtract 7.

The correct statement that Jose is supposed to have written is that  multiply each element in the domain by 5 and subtract 7

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Answer:

7000

Step-by-step explanation:

21,000*(2/3)=14000

21,000-14,000=7000

Answer:

7,000 dollars

Step-by-step explanation:

21,000 divided by 3 is 7,000 = 1/3

So 2/3 = 7,000 x 2 = 14,000

To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000

Answer:

C

Step-by-step explanation:

3×4=12

3×11=33

5×11=55

Answer:

39375

Step-by-step explanation:

All you have to do is just multiply the length x width x height.

Answer:

Find a rectangular prism in your house exactly the same as this one,them you'll know the answer

Answer:

The answer is 4^2 (-16)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

36:    2 2 3 3  

78:    2   3   13

GCF:    2   3  

2x3=6

hope this helps

Answer:

-8/9 is the answer

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The square root would be 5