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2 years ago

Which expression is equivalent to 4f^2/3 divided 1/4f

Mathematics

2 answers:

Romashka [77]2 years ago

5 0

Lets use algebra and simplify:

$\frac{\frac{4f^{2}}{3}}{\frac{1}{4f}} \\=\frac{4f^{2}}{3}* \frac{4f}{1} \\=\frac{16f^{3}}{3}$

Note in the above steps: dividing by a fraction is same as multiplying by its reciprocal

The first answer choice is the correct one.

ANSWER: $\frac{16f^{3}}{3}$

tia_tia [17]2 years ago

3 0

Answer:

Step-by-step explanation:

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I have a map where indy and ft. Wayne are 3 centimeters apart. Kokomo and indy are 1.5 cm apart on the map. If i know that indy

marta [7]

Indy and kokomo will be 60 miles apart in real life.

Explanation

On the map, Indy and ft. Wayne are 3 cm apart and Kokomo and Indy are 1.5 cm apart.

So, the ratio of the distance between Indy and ft. Wayne to the distance between Kokomo and Indy will be: $3: 1.5 = 30:15= 2:1$

Now, lets assume that real distance between Indy and ft. Wayne is $2x$ cm and real distance between Kokomo and Indy is $x$ cm.

Given that, the real distance between Indy and ft. Wayne is 120 miles.

That means....

$2x= 120\\ \\ x= \frac{120}{2}=60$

So, Indy and kokomo will be 60 miles apart in real life.

3 0

2 years ago

If you set aside $9000 at the end of each year for the next 22 years in a Roth IRA, how much will you have at your retirement 22

madam [21]

Answer:

$501,049.37

Step-by-step explanation:

For computing the amount after 22 years we need to applied the future value which is shown in the attachment below:

Given that

PMT = $9,000

NPER = 22 years

Annual rate = 0.078

Quarterly= 0.078 ÷ 4 = 0.0195

Effective annual rate = (1.0195^4) - 1 = 0.0803113041

Now applied the formula which is given below

= -FV(RATE;NPER;PMT;PV)

After applying the above formula, the future value is $501,049.37

7 0

2 years ago

At Central High School, 28% of the students are Freshmen, 26% are Sophomores, 24% are Juniors, and 22% are Seniors. The student

Jet001 [13]

Answer:

(D) This is a stratified random sample because a separate random sample is selected from each class

Step-by-step explanation:

A sample of size n is defined to be a stratified random sample if it is selected from a population which has been divided into a number of non overlapping groups or sub populations called strata, such that part of the sample is drawn at random from each stratum.

It is to be emphasized that good stratification requires that each of these strata should be internally homogeneous but externally should differ from one another.

The advantage of stratified sampling is low cost , greater accuracy and better coverage.

If we analyze the given scenario a sample is selected from each strata depicting its corresponding percentage in the population. It is internally homogeneous but externally different.

4 0

2 years ago

A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor. Find t

max2010maxim [7]

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor.

Area of the floor= length*width

Length= 19 feet

Width= 13 feet

Area= 19*13

Area= 247 feet²

Volume of the pod= area*height

Height of the pod= 5 feet

Area= 247 feet²

volume= 247*5

Volume= 1235 feet³

4 0

2 years ago

The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,

Andrej [43]

Answer:

A. $18

B. $200

C. $p\in (16,20)$

Step-by-step explanation:

Function:

$f(p) = -50p^2 + 1,800p - 16,000$

Parts A and B:

The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

$p_v=\dfrac{-b}{2a}=\dfrac{-1,800}{2\cdot (-50)}=\dfrac{1,800}{100}=18\\ \\f(p_v)=-50\cdot 18^2+1,800\cdot 18-16,000=200$

The price that generates the maximum profit is $18

The maximum profit is $200

Part C:

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all $p\in (16,20)$ , so the positive profit is for $p\in (16,20)$

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.

7 0

2 years ago