What is 100-2938? I'm in 5th grade but I want to know if people can explain thoroughly how they got that answer. Please and thank you.

Answer:

The number 28 should be written in the red box.

Answer:

A

Step-by-step explanation:

Given

\sqrt[]{50a^6b^7}

50a

6

b

7

Therefore, solving:

\sqrt[]{50}\sqrt[]{a^6}\sqrt[]{b^7}

50

a

6

b

7

Simplify

\begin{gathered}\begin{gathered} \sqrt[]{50}=5\sqrt[]{2} \\ \sqrt[]{a^6}=a^3 \\ \sqrt[]{b^7}=b^3\sqrt[]{b} \end{gathered}\end{gathered}

50

=5

2

a

6

=a

3

b

7

=b

3

b

Next,

5\sqrt[]{2}\cdot a^3\cdot b^3\sqrt[]{b}5

2

⋅a

3

⋅b

3

b

Reordering the expression

5a^3b^3\sqrt[]{2b}5a

3

b

3

2b

Answer:

-b

Step-by-step explanation:

Answer:

Sure! Let’s solve this equation step by step.

(7000).03 + (x).05=830

First, we can simplify the left side of the equation:

210 + 0.05x = 830

Next, we can subtract 210 from both sides:

0.05x = 620

Finally, we can divide both sides by 0.05 to solve for x:

x = 12400

So the solution to the equation (7000).03 + (x).05=830 is x = 12400.

Answer:

28

Step-by-step explanation:

substitute 4 in for p in the equation

64-9p=

64-9(4)=

64-36=

28

The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.

The time Jasmine spends biking is indeed a function of the distance she bikes.

The formula to calculate the time Jasmine takes to bike a certain distance is equal to,

time = distance / speed __(1)

Here the speed is the rate at which Jasmine bikes = 18 miles per hour.

Let us consider 'd' be the distance representing the number of miles Jasmine bikes.

This implies,

The function that represents the time Jasmine spends biking in terms of the distance .

Function f(d)  representing the time Jasmine spends biking for a distance of d miles

Substitute all the values in the formula (1) we get,

⇒ f(d) = d / 18

Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.

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The above question is incomplete , the complete question is:

The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.

Write the function representing the time Jasmine spends biking in terms of the distance?

If Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, how many books they can buy,

Rs 30 = 45 book

Rs 30 = 45

Rs 1 = 45 / 30

Rs 24 = 3/2 × 24

Rs 24 = 34 books

Thus, if Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.

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Answer:

60 miles per hour

Step-by-step explanation:

We need to simply divide the total distance he traveled by the total time it took him.

At 10:00 AM, he is 200 miles from New York.

At 12:00 PM, he is 80 miles from New York.

This means that 2 hours has elapsed and the distance he has traveled is:

200 - 80 = 120 miles

Therefore, his average speed is:

120 / 2 = 60 miles per hour

Answer:

x = 4

Step-by-step explanation:

4(2x + 5) = 52 ( divide both sides by 4 )

2x + 5 = 13 ( subtract 5 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

= (4x - y)/3 - (x + y)/2

= (4x - 3x - y + y)/6

= (x - y)/6

Answer:

18x+y

Step-by-step explanation:

\(4x-\frac{y}{3} - x + \frac{y}{2} \\\6(4x-\frac{y}{3} - x + \frac{y}{2})\\24x-2y-6x+3y\\18x+y\)

I have no idea but I think this is what you're looking for

Answer:

900m or 300m

Step-by-step explanation:

45 x 20 = 900

30 x 10 = 300

Answer:

3y/2 - 3z/8 is the answer

Answer:

Step-by-step explanation:

Answer:

1. The cost of equity can be derived from the share price, which is the present value of the expected dividend one year from now(using the present value of growing perpetuity) as shown below:

share price=D1/(r-g)

share price=$500

D1=expected dividend one year from now=$4

r=cost of equity=unknown

g=constant growth rate=9%

$500=$4/(r-9%)

$500*(r-9%)=$4

r-9%=$4/$500

r=($4/$500)+9%

r=9.8

the Cost of Equity for the project is 9.8%

2. Compute the relevant cost of debt for this project is 5.53%

Market Value= 1,150

Face Value= 1,000

Term= 5 years, 10 semi-annual periods

Coupon Rate= 9%, 4.5% semi-annual rate

Tax Rate= 30%

N=10(semiannual coupons in 5 years)

PMT=45(semiannual coupon=face value*coupon rate/2=$1000*9%/2=$45)

PV=-1150(current market price)

FV=1000(face value of the bond is $1,000)

CPT(press compute)

I/Y=2.762766%(semiannual yield)

annual yield=2.762766%*2

annual yield=5.53%

3. The weighted average cost of capital is the sum of equity and the after-tax cost of debt multiplied by their respective market value weights

WACC=(cost of equity*weight of equity)+(after-tax cost of debt*weight of debt)

cost of equity=9.80%

the market value of equity raised=shares issued*market price of the share

the market value of equity raised=80,000*$500

the market value of equity raised=$40 million

weight of equity=market value of equity/total amount raised

weight of equity=$40 million/$100 million

weight of equity=40.00%

weight of debt=1-weight of equity

weight of debt=1-40.00%

weight of debt=60.00%

after-tax cost of debt=bond yield*(1-tax rate)

the after-tax cost of debt=5.53%*(1-30% )

the after-tax cost of debt=3.87%

WACC=(9.80%*40.00%)+(3.87%*60.00%)

WACC= 6.2426% or 6.24%

Therefore the WACC is 6.2426% or 6.24% rounded off to 2decimal place

4. Determine the initial cash flow for the project =$100 million

The initial cash outlay is the sum of the plant and machinery and net working capital investment required to commence the project

Plant and machinery= $80 million

Networking capital = $20 million

Total Initial Cash Flow= $100 million

5. Determine the earnings before taxes for years 1 through 5

Year

1 2 3 4 5

Revenue

120,000,000 120,000,000 120,000,000 120,000,000 120,000,000

Expenses

(80,000,000) (80,000,000) (80,000,000) (80,000,000) (80,000,000)

Depreciation (20,000,000) (15,000,000) (11,250,000) (8,437,500) (6,328,125)

EBT

20,000,000 25,000,000 28,750,000 31,562,500 33,671,875

Step-by-step explanation:

5. Depreciation schedule:

Year 1 = 80 × 25% = 20

Year 2 = (80-20) × 25% = 15

Year 3 = (80-20-15) × 25% = 11.25

Year 4 = (80-20-15-11.25) × 25% = 8.4375

Year 5 = (80-20-15-11.25-8.4375) × 25% = 6.328125

EBT = revenue - Expenses - depreciation

Year 1 = 120 - 80 - 20 = 20 Million

Year 2 = 120-80- 15 = 25 Million

Year 3 = 120-80- 11.25 = 28.75 Million

Year 4 = 120-80- 8.4375 = 31.5625 Million

Year 5 = 120-80- 6.328125 = 33.671875Million

The cost of equity of the project through the use of Gordan's formula will be 9.87%.

It should be noted that the price of stock is computed thus:

= Previous dividend + Growth / Cost of equity - Growth

Po = Do + g/Ke - g

500 = 4 + 9%/Ke - 9%

500 = 4 + (0.09 × 4) / Ke - 9%

500 = 4.36/Ke - 9%

500(Ke - 9%) = 4.36

500Ke = 4.36 + 45

500Ke = 49.36

Ke = 49.36/500

Ke = 9.87%

The cost of debt will be:

= Interest rate (1 - Tax rate)

= 9% × (1 - 30%)

= 9% × 0.7

= 6.30%

The amount of the cost of debt will be:

= $1000 × 6.30%

= $63.00

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Answer:

34.2° C

Step-by-step explanation:

12 + 8.4 + 13.8 =

= 20.4 + 13.8

= 34.2

In this case the answer is very simple .

Step 01:

Data

equation of the given line: 5y = -3x -10

y = -3/5x - 2

m = -3/5

given point: (3,-6) x1 = 3 y1 = -6

Step 02:

Slope of the perpendicular line, m’

m' = (-1) / m

Point-slope form of the line

(y - y1) = m (x - X1)

The answer is:

The equation of the perpendicular line is:

y = (5/3) x - (23/3)

Answer:

Point form (2.1)

Equation form: x=2,y=1

Answer:

(2, 1 )

Step-by-step explanation:

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ← distribute parenthesis and simplify left side

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

Substitute x = 2 into (1)

y = 6(2) - 11 = 12 - 11 = 1

solution is (2, 1 )

Answer:

Timothy's present age is 10 and Kevin's 16

Step-by-step explanation:

Kevin is 6 years older than Timorthy

So four years ago, when Timothy was 6 years old Kevin's age was 6×2=12

so now add 4 to both their ages and the answer is solved.

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Answer: sqrt(2)/2  which is choice D

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

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

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

Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

About 17.45% of the bottles contain less than the labelled amount of 100 ml.

To find this proportion, we first standardize the labeled amount of 100 ml to a z-score using the formula z = (x - mu) / sigma, where x is the labelled amount, mu is the mean, and sigma is the standard deviation.

z = (100 - 101.5) / 1.6 = -0.9375

We then find the area under the standard normal distribution curve to the left of this z-score using a standard normal distribution table or calculator. This area is approximately 0.1745, which means that about 17.45% of the bottles contain less than the labeled amount of 100 ml.

The value of c is approximately 104.456 ml.

To find this value, we first need to find the z-score that corresponds to the upper 2.5% of the standard normal distribution. Using a standard normal distribution table or calculator, we find that this z-score is approximately 1.96.

We then use the same formula as before, z = (x - mu) / sigma, to solve for the corresponding value of c in milliliters.

1.96 = (c - 101.5) / 1.6

Solving for c, we get:

c = 1.96 * 1.6 + 101.5 = 104.456

Therefore, if only 2.5% of the bottles have contents that exceed a specified amount, that amount is approximately 104.456 ml.

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Answer:

x = 1 ± 4\(\sqrt{3}\)

Step-by-step explanation:

(x − 1)² - 4 = 44

(x - 1)² = (x - 1) (x - 1) = x² - x - x + 1 = x² - 2x + 1

x² - 2x + 1 - 4 = 44

x² - 2x - 3 = 44

x² - 2x - 47 = 0

Use the quadratic formula to find the solutions.

\(\frac{-b± \sqrt{b^{2}-4(ac) } }{2a}\)

We get the answer

x = 1 ± 4\(\sqrt{3}\)

So, the answer is x = 1 ± 4\(\sqrt{3}\)

Answer:3

explation:square have 4 side

perimetter of square=4l

so, 12/4=3

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan x = 8/10

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (8/10)

x = tan ^-1 (8/10)

x =38.65980825

To the nearest tenth

x = 38.7

Answer:

38.7

Step-by-step explanation:

You need to adjust the tube of the microscope to 6.83cm in order to view the sample in focus with a completely relaxed eye

Given, Focal length of the eyepiece,  = 2.50 cm

The focal length of the converging lens, f = 1.00 cm

The distance of the object, p = 1.30 cm

Lens equation, \(\frac{1}{f} = \frac{1}{p} + \frac{1}{q}\)

Substitute the values in the above equation

\(\frac{1}{1.00} = \frac{1}{1.30} + \frac{1}{q}\)

q = 4.33 cm

now, the image is formed at the focal point of the eyepiece,

therefore, the distance between the objective and the eyepiece, d =  + q = 2.50 cm + 4.33 cm

d = 6.83 cm

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The correct option is:

c. y¹ = 3 + √(x - 7)

To find the inverse function of y = (x - 3)^2 + 7 for x > 3, we can follow these steps:

Step 1: Replace y with x and x with y in the given equation:

x = (y - 3)^2 + 7

Step 2: Solve the equation for y:

x - 7 = (y - 3)^2

√(x - 7) = y - 3

y - 3 = √(x - 7)

Step 3: Solve for y by adding 3 to both sides:

y = √(x - 7) + 3

So, the inverse function of y = (x - 3)^2 + 7 for x > 3 is y¹ = √(x - 7) + 3.

Therefore, the correct option is:

c. y¹ = 3 + √(x - 7)

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The equation will be changed into = f(x)= 32

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

A statement is not an equation if it has no "equal to" sign.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Hence, The equation will be changed into = f(x)= 32

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Answer:

\(m=-4\)

Step-by-step explanation:

Two ways: pick two positions, calculate the difference in y and divide it by the difference in x

\(m= \frac{\Delta y}{\Delta x} =\frac{21-17}{-7-(-6)} = \frac4{-1}= -4\)

Or, the slope is also the variation in y for every unit increase of x.

In particular, the table gives unit increase in x (-7 to -6, and so on). The slope is simply "what happens to y". In our case, y decreases by 4, so the slope is -4

Answer:

1. b =1/2 (4)(3.5)

v=(14)(8)

2.b= 1/2 (9)(12)

V=(54)(13)

3.b= 1/2(7)(6.1)

v= (21.35)(9)

Answer:

b = $2.40

d = $5.70

Step-by-step explanation:

d = hot dog and b = hot dog buns

Equations:

2d + 5b = $23.40

3d + 2b = $21.90

-------------------------------subtract these two equations

-d + 3b = $1.50

3b - $1.50 = d

Substitute:

3d + 2b = $21.90

3(3b - $1.50) + 2b = $21.90

9b - $4.50 + 2= $21.90

11b = 26.40

b =  $2.40

Substitute again but this time with b:

3d + 2b = $21.90

3d + 2($2.40) = $21.90

3d + $4.80 = $21.90

3d = $21.90

d = $5.70

with what question???

Answer:

What do you need help with.  i will help you.

i

Step-by-step explanation:

Answer:7w+10x

Step-by-step explanation:

The standard error of the average sample weight when 15 participants are randomly selected for the sample is 9.05 (rounded to two decimal places).

The standard error of the average sample weight when 15 participants are randomly selected for the sample can be calculated using the formula given below:SE = σ/√nWhere,σ = standard deviation of the populationn = sample sizeSE = standard error of the meansubstituting the given values,SE = 35/√15 = 9.05

Note:When using the given formula, it is important to note that it assumes a normal distribution of sample means. The standard error is used to estimate the true value of the mean from the sample data. The larger the sample size, the smaller the standard error. The smaller the standard error, the more precise the estimate of the true value of the mean.

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