Mathematics :asked onkathlynskare06

18.05.2023the following question

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## Step-by-step answer

18.05.2023, solved by verified expert

Do 130 divided by 74 and you will probably get 1.74 and round it off

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Mathematics

There are 130 calories in a cup of whole milk and only 74 in a cup of skim milk. in switching to skim milk, find the percent decrease in number of calories.

Step-by-step answer

**P** Answered by Master 4

Do 130 divided by 74 and you will probably get 1.74 and round it off

Mathematics

Which of the following represents the formula that could be used to find the height of the cone

Step-by-step answer

**P** Answered by PhD 2

If you know the volume then:

(3 * Cone Volume) / (PI * radius^2) = height

Mathematics

Simplify. 3.2 = n + 7.8 a. −4.6 b. 4.6 c. −5.6 d. 5.6

Step-by-step answer

**P** Answered by Specialist 2

switch sides

subtract 7.8 from both sides

simplify

so the answer is A

Hope this helps :)

Mathematics

Amanufacturer of golf clubs makes a profit of $50 per set on a model a set and $55 per set on a model b set. daily production of the model a clubs is between 20 and 50 sets, inclusive, and that of the model b clubs is between 10 and 30 sets, inclusive. the total daily production is not to exceed 50 sets. how many sets of each model should be manufactured per day to maximize the profit?

Step-by-step answer

**P** Answered by PhD 2

30 sets of model B20 sets of model A

Step-by-step explanation:

To maximize profit, the greatest possible number of the most profitable item should be manufactured. Remaining capacity should be used for the less-profitable item.

Up to 30 of model B, which has the highest profit, can be made each day. The remaining amount (20 sets) of the daily capacity of 50 sets should be used to make model A sets.

Mathematics

The function below represents the annual interest victoria earns on a savings account. identify the term that represents the amount of money originally deposited in the account. f(x) = 300(1 + 0.03)x 300 1 0.03 x

Step-by-step answer

**P** Answered by PhD 49

Step-by-step explanation:

In this problem we have a exponential function of the form

where

a is the initial value ( value of the function when the value of x is equal to zero)

b is the base

r is the rate

b=1+r

we have

therefore

The term that represents the amount of money originally deposited in the account is the initial value

For x=0

substitute

Mathematics

Iknow that these answers are correct, but i don t understand how to get it using the de moivere theorem. can someone explain in detail? you so much!

Step-by-step answer

**P** Answered by PhD 3

Step-by-step explanation:

10.

First, convert 1+i from Cartesian to polar.

r = √(1² + 1²)

r = √2

θ = atan(1/1), θ in first quadrant

θ = 45°

Therefore:

(1+i)²⁰ = (√2 (cos 45° + i sin 45°))²⁰

(1+i)²⁰ = 1024 (cos 45° + i sin 45°)²⁰

Now applying the De Moivre theorem:

1024 (cos (20×45°) + i sin (20×45°))

1024 (cos (900°) + i sin (900°))

1024 (-1 + 0)

-1024

11.

Repeat the same steps from Question 10. First, convert to polar:

r = √(1² + (-1)²)

r = √2

θ = atan(-1/1), θ in fourth quadrant

θ = 315°

Therefore:

(1−i)¹⁰ = (√2 (cos 315° + i sin 315°))¹⁰

(1−i)¹⁰ = 32 (cos 315° + i sin 315°)¹⁰

Now applying the De Moivre theorem:

32 (cos (10×315°) + i sin (10×315°))

32 (cos (3150°) + i sin (3150°))

32 (0 − i)

-32i

Mathematics

The diagram shows a scale drawing of a rectangular banner with a scale of 1: 30. calculateitu,the actual length, in m, of the banner.the area, in m , of the banner.the diagram showed a banner with the length of 4cm and width of 9cm. you

Step-by-step answer

**P** Answered by PhD

Part 1) The actual length of the banner is

Part 2) The area of the banner is

Step-by-step explanation:

we know that

The scale of the drawing is

That means ----> 1 cm on the drawing represent 30 cm in the actual

Using proportion

Find out the actual dimensions of the banner

Let

L the actual length of the banner

W the actual width of the banner

For a length of 4 cm in the drawing

Convert the actual length to meters

For a width of 9 cm in the drawing

Convert the actual width to meters

Find the area of the banner

Mathematics

Diagram shows a framework consisting of 16 wooden rods. the length of each rod is 8 cm.81)all the rods are rearranged to form a square. calculate the area, in cm, of the square.

Step-by-step answer

**P** Answered by PhD 1

1024 cm²

Step-by-step explanation:

There are 16 rods. A square has 4 equal sides, so each side must consist of 4 rods. The length of each rod is 8 cm, so the length of each of the square's sides is 32 cm. Therefore, the area of the square is:

A = s²

A = (32 cm)²

A = 1024 cm²

Mathematics

Angela and brian were measuring the length of each side of the same box, in order to find its volume. they both measured the sides to be 7.2, 3.5, and 8.7. angela, to avoid mistakes in rounding, first found the volume and then rounded to the nearest whole number. brian, on the other hand, decided to take the easy route and rounded the length of the sides to the nearest integers and then found the volume using the rounded lengths. what was the positive difference between angela s and brian s rounded volumes? (note: the volume of a box is defined

Step-by-step answer

**P** Answered by PhD 8

33

Step-by-step explanation:

Using Angela's method, we first multiply, then round.

V = (7.2)(3.5)(8.7)

V = 219.24

V ≈ 219

Using Brian's method, we first round, then multiply.

V = (7.2)(3.5)(8.7)

V ≈ (7)(4)(9)

V ≈ 252

The positive difference between their answers is:

252 − 219 = 33

Mathematics

Meee a virus that initially infected four people is spreading at a rate of 15% each week. the following function represents the weekly spread of the virus: f(x) = 4(1.15)x. rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage. f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily f(x) = 4(1.02)x; spreads at a rate of approximately 0.2% daily

Step-by-step answer

**P** Answered by PhD 58

f(x) = 4(1.02)^(7x); spreads at a rate of approximately 2% daily

Step-by-step explanation:

The weekly number of people infected is:

f(x) = 4(1.15)^x

So the daily number of people infected is:

f(x) = 4(1+r)^(7x)

To find the value of the daily rate r, we set this equal to the first equation.

4(1.15)^x = 4(1+r)^(7x)

(1.15)^x = (1+r)^(7x)

(1.15)^x = ((1+r)^7)^x

1.15 = (1+r)^7

1.02 = 1+r

r = 0.02

So the equation is f(x) = 4(1.02)^(7x), and the daily rate is approximately 2%.

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