Solve the triangle. Round to the tenths place.

The cost function to produce x cups of coffee is C(x) = 0.093x + 1.31

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let C(x) represent the cost to make x cups. If m is the rate of making each cup and b is the initial cost of start up, hence:

The manage produce 200 cups of coffee is $19.91:

19.91 = 200m + b   (1)

Also, to produce 500 cups is $47.81:

47.81 = 500m + b   (2)

From both equations:

m = 0.093 and b = 1.31

The cost function is C(x) = 0.093x + 1.31

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Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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The Coordinates of the graphed point are (−3, 2.5).

The coordinates of the graphed point, based on the given description, are (−3, 2.5).

The x-coordinate represents the horizontal position of the point, and it is described as being 3 units to the left of the y-axis. Since the y-axis is the vertical line passing through x = 0, moving 3 units to the left means the x-coordinate is −3.

The y-coordinate represents the vertical position of the point, and it is described as being 2.5 units up from the x-axis. Since the x-axis is the horizontal line passing through y = 0, moving 2.5 units up means the y-coordinate is 2.5.

Therefore, the coordinates of the graphed point are (−3, 2.5).

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Answer:

8:3

Step-by-step explanation:

we can divide each number by 5 and get the answer

To perform the composition, we need to substitute g(x) for x in f(x).

f(g(x)) = 3/(x^2 - 5)

Answer:

2

Step-by-step explanation:

3*4^2*10+10/2 - 6*4

   4*4=16    5      24

3*16*10  +   5  -  24 = 19

480 - 19

Answer:

For 3 tablespoons of olive oil- you need 2 cloves garlic

For 1 tablespoon of olive oil- you need (2/3) cloves garlic

For 2 tablespoons of olive oil- you need [tex]\frac{2 X 2}{3}[/tex] cloves garlic

So, 4/3 cloves of garlic

Answer: m<CRN= 107 degrees

m<GMB=148

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

50 = 2x+3x or 5x

x=10

2(10) =20

Answer:

The answer is 0

Step-by-step explanation:

7 - (9x0)

0-7

-7

Answer:

-178 = u

Step-by-step explanation:

227 = 49-u

Subtract 49from each side

227-49 = 49-49-u

178 = -u

Multiply each side by -1

-178 = u

Answer:B

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Step 1: Define

h(x) = -5x - 1

h(x) = -6

Step 2: Substitute and Evaluate

-6 = -5x - 1

-5 = -5x

x = 1

Based on the given data, we can Reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

Based on the given data, we can make the following inferences:

b. Most knitters use some kind of specialty yarn:

Since the total number of knitters surveyed is 100, and each knitter was asked about their preference for specialty yarn, we can infer that most knitters (if not all) use some kind of specialty yarn. This is because all the surveyed knitters were specifically asked about their preference for specialty yarn, indicating that specialty yarn is commonly used among knitters.

c. More knitters like boucle yarn than other specialty yarns:

According to the data, 40 knitters preferred boucle yarn, which is more than the number of knitters who preferred any other specialty yarn. Therefore, we can infer that among the surveyed knitters, there is a higher preference for boucle yarn compared to other specialty yarns.

The other statements cannot be reasonably inferred from the given data:

a. The data does not provide information about the number of knitters using sequin yarns compared to fuzzy yarns. We only have information about the preference for boucle, mohair, and metallic yarns.

d. The data does not provide information about the preference of 500 knitters or the comparison of boucle yarn to other specialty yarns among a larger population.

e. The data does not provide information about the preference for metallic yarn compared to plain yarn among the surveyed knitters. The data only includes information about the preference for boucle, mohair, and metallic yarns.

In conclusion, based on the given data, we can reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

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Answer:

Quarters: 10

Dimes: 8

Step-by-step explanation:

Constraints

value: 0.25q + 0.10d = 3.30

count: q + d = 18

q = 18 - d

0.25(18-d) + 0.10d = 3.30

4.50-0.25d+0.10d = 3.30

4.50-0.15d = 3.30

-0.15d = -1.20

d = 8

q + d = 18

q + 8 = 18

q = 10

Check:

0.25(10) + 0.10(8) = 3.30

2.5+ 0.80 = 3.30

3.30 = 3.30

Answer:

theres a link to the answer

Step-by-step explanation:

√

27

=

9

√

3

Explanation:

If

a

,

b

≥

0

then

√

a

b

=

√

a

√

b

So

3

√

27

=

3

√

3

2

⋅

3

=

3

√

3

2

√

3

=

3

⋅

3

√

3

=

9

√

3

Answer link

that should be a link up there

The Binomial probability of x = 3 for the given parameters is 0.2048

The Binomial probability relation can expressed as :

[tex]P(x) = nCx * p^{n} * q^{n-x}[/tex]

where :

for x = 3

We substitute x into the equation thus :

P(x = 3) = 17C3 * (1/8)³ * (1 - 1/8)¹⁴

P(x = 3) = 0.2048

Therefore, the probability of x = 3 in the scenario given is 0.2048

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Answer:

x+3/7

Step-by-step explanation:

i hope that right

Answer:

270

Step-by-step explanation:First, you need to figure out how many times 24 goes into 120 (120 being the number of minutes in a 2 hour period). When you divide 120 by 24, you get 5.

Next, multiply the number of people (54) by the number of minutes (5) to discover that the Ferris wheel can accommodate 270 people in 2 hours.

Answer:

racional

Step-by-step explanation:

porque puedes encuentrarlo en el linea de numeros

Irrational es como 3.1415926535... numerosnque no altan

Answer:

7. A = 4pi

8. A = 36pi

9. A = pi/16

Look into explanation to know how to solve these

Step-by-step explanation:

I assume C is the circumference

Now, the formula for C is

[tex]C = 2(pi)r[/tex]

and the formula for area is,

[tex]A = pi(r^2)[/tex]

where r is the radius.

We need to find the radius to find the area

Now, since the circumference is given, we can use that to find the radius in the following manner.

[tex]C = 2(pi)r\\r = C/(2pi)[/tex]

And then put that into the area formula.

So, for your questions.

7. C = 4pi

r = (4pi)/(2pi)

r = 2

and then the area will be,

[tex]A = pi(2^2)[/tex]

A = 4pi

8. C = 12pi

then r = (12pi)/(2pi)

r = 6

and area is,

[tex]A = pi(6^2)[/tex]

A = 36pi

9. C = pi/2

r = (pi/2)/(2pi)

r = 1/4

and area will be then

A = pi(1/4)(1/4)

A = pi/16

The areas in terms of π are

1. A = 4π units²

2. A = 36π units²

3. A = π/16 units²

A circle is a round-shaped figure that has no corners or edges.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

The area of a circle is expressed as;

A = πr²

where r is the radius.

The circumference of a circle is expressed as;

C = πd

1. C = 4π , therefore d = 4 and r = 2

A = πr² = 2²π = 4π units²

2. C = 12π , therefore d = 12 and r = 6

A = π6² = 36π units²

3. C = π/2 , therefore d = 1/2 , r = 1/4

A = (1/4)²π

= π/16 units²

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Answer:

15 quarter is the answer

There are infinitely many possible answers.

===============================================

Explanation:

Answer:

1/50

Step-by-step explanation:

divide B by A to give you the denominator. then choose your answer

Answer: D

Plz dont forget brainliest

Answer:

-x^3+x^2+3x-1

Step-by-step explanation:

f(x)=8−4x−x³

g(x)=x²+7x−9

f(x)+g(x) = 8−4x−x³ +x²+7x−9

Combine like terms

             =-x^3+x^2+3x-1

Answer:

See below

Step-by-step explanation:

[tex]f(x)=8-4x-x^3\\g(x)=x^2+7x-9[/tex]

Once

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex](f+g)(x)=(8-4x-x^3)+(x^2+7x-9)=-x^3+x^2+3x-1[/tex]

[tex]\therefore (f+g)(x)=-x^3+x^2+3x-1[/tex]

Answer:Cubic Feet . Cubic Feet . Measure . Per 50 Cubic Feet . Per 40 Cubic Feet .

Step-by-step explanation:

================================================

Work Shown:

d = number of dimes

q = number of quarters

q = d+4 since she has 4 more quarters than dimes

$1.70 = 170 cents

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = total value of all the coins in cents

10d+25q = 170

10d+25( q ) = 170

10d+25( d+4 ) = 170 .... plug in q = d+4

10d+25d+100 = 170 .... distribute

35d+100 = 170

35d = 170-100 ..... subtract 100 from both sides

35d = 70

d = 70/35 ... divide both sides by 35

d = 2

He has 2 dimes

q = d+4

q = 2+4

q = 6

He also has 6 quarters

------------------

Check:

1 dime = 10 cents

2 dimes = 20 cents ..... multiply both sides by 2

1 quarter = 25 cents

6 quarters = 150 cents ..... multiply both sides by 6

(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents

This confirms the answers.