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2 years ago

A.)4 B.)10 C.)18 Which one could be the answer I’m lost.

Mathematics

1 answer:

kirill115 [55]2 years ago

4 0

f(x) = ((x^2) / 3) + x, for f(6)

f(6) = ((6^2) / 3) + 6

Square 6

f(6) = (36 / 3) + 6

Divide 36 by 3

f(6) = 12 + 6

Combine like terms

f(6) = 18

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A glassblower can produce a set of simple glasses in about 2 h. When the glassblower works with an apprentice, the job takes abo

Snowcat [4.5K]

Answer:

6 hours.

Step-by-step explanation:

Let t represent the time taken by apprentice in hours to make a set of glasses when working alone.

Part of work completed by apprentice in one hour would be $\frac{1}{t}$ .

We have been given that a glassblower can produce a set of simple glasses in about 2 hours. So part of work completed by glassblower in one hour would be $\frac{1}{2}$ .

While working together, the job takes about 1.5 hours. So part of work completed by both in one hour would be $\frac{1}{1.5}$ .

Now we will equate sum of work competed by both in hour by work completed by both working together is one hour as:

$\frac{1}{t}+\frac{1}{2}=\frac{1}{1.5}$

$\frac{1}{t}\cdot 3t+\frac{1}{2}\cdot 3t=\frac{1}{1.5}\cdot 3t$

$3+\frac{3}{2}\cdot t=\frac{3t}{1.5}$

$3+1.5\cdot t=2t$

$3+1.5t-1.5t=2t-1.5t$

$3=0.5t$

$\frac{3}{0.5}=\frac{0.5t}{0.5}$

$6=t$

Therefore, it will take 6 hours for the apprentice to make a set of glasses when working alone.

7 0

3 years ago

2. Eliza uses the point (3, 9) to her home’s location and uses the point (6, 13) to represent the ice cream shop’s location. Eac

Elden [556K]

Answer:

I'm gonna use the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Distance = sqrt((6-3)^2 + (13-9)^2)

Distance = sqrt(3^2 + 4^2)

Distance = sqrt(9 + 16)

Distance = sqrt(25)

Distance = 5

The problem says every unit = 1 mile so 5 units = 5 miles.

Answer = 5 miles

Step-by-step explanation:

7 0

2 years ago

In 10 words or less, explain what it means for two segments to be parallel.

ArbitrLikvidat [17]

Answer:

Two or more lines are parallel when they lie in the same plane and never intersect.

Step-by-step explanation:

8 0

2 years ago

What graph represents −3x+1≤10

nalin [4]

The solution of the inequality is x ≥ -3 and the graph is shown below

<h3>Graph of inequalities </h3>

From the question, we are to determine the graph that represents the given inequality

The given inequality is

−3x + 1 ≤ 10

First, we will solve the inequality

−3x + 1 ≤ 10

Subtract 1 from both sides

−3x +1 -1 ≤ 10 - 1

−3x ≤ 9

Divide both sides by -3 and<u> flip the sign</u>

x ≥ -3

The graph of the inequality is shown below

Learn more on Graphing inequalities here: brainly.com/question/13053003

#SPJ1

6 0

2 years ago

Find the accumulated value of an investment $10,000 for 3 years at an interest of 7% if the money is compounded semiannually; co

asambeis [7]

Answer:

Correct answer: 1) AV = 12,290 $, 2) AV = 12,310 $, 3) AV = 12,330 $,

4) AV = 12,337 $

Step-by-step explanation:

Given:

I = 10,000$

n = 3 years

p = 7% = 0.07

Accumulated value of an investment is calculated with next formula:

AV = I · (1 + (p/a))ᵃⁿ where is:

AV - accumulated value

I - investment

p - interest

a - number of calculation parts during one year as the accounting period

n - number of years as the accounting period

1) money is compounded semiannually

a = 2 and a · n = 2 · 3 = 6

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/2))⁶ = 10,000 · 1.229 = 12,290 $

AV = 12,290 $

2) money is compounded quarterly

a = 4 and a · n = 4 · 3 = 12

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/4))¹² = 10,000 · 1.231 = 12,310 $

AV = 12,310 $

3) money is compounded monthly

a = 12 and a · n = 12 · 3 = 36

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/12))³⁶ = 10,000 · 1.233 = 12,330 $

AV = 12,330 $

4) money is compounded continuously

Accumulated value of an investment continuously compounded is calculated with next formula:

AV = I · eⁿᵇ where is:

n - number of years as the accounting period

b = p = 7% = 0.07

n · b = 3 · 0.07 = 0.21

AV = 10,000 e⁰²¹ = 10,000 2.7183⁰²¹ = 10,000 1.2337 = 12,337 $

AV = 12,337 $

God is with you!!!

8 0

2 years ago