b) A cubical water tank has 1.5m as the length of its each side. Find the volume of the tank. ​

Answer:

Base = 8

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = 0.5 x Base x Height

The values of the area and the height are given in order to find the length.

A= 52 in^2

Height= 13

First we have to find the base or the length. Using the values above we can set up the equation as:

1. 52= (0.5)(13)(b)

2. 52/0.5(13)

3. b=8

Answer: The length of the guitar or the base would be 8 inches.

I hope this helps and for future problems regarding this topic use the formula above!!

Formula: 0.5 x Base x Height

Answer:

35/6

Step-by-step explanation:

The right angle triangle ABC which has another triangle BCD, the length of segment AD is,  9.73 cm

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

Two triangle,

ΔABC and ΔBCD

Side lengths are ,

AC =  19cm

BC  =  8cm

DC  =  11cm

AC² = AB² + BC²

19² = AB² + 8²

AB = 17.23

Another  ΔBCD

11² = DB² + 8²

DB = 7.5

The length of AD =  AB - DB

                             =  17.23 - 7.5

                             =   9.73

Hence, the length of the segment is 9.73 cm

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[tex]( {t + 8})^{3} = {t}^{3} + 3 \times ({t})^{2} \times( 8) + 3 \times (t) \times ( {8})^{2} + {8}^{3} \\ [/tex]

So :

[tex] ({t + 8})^{3} = {t}^{3} + 24 {t}^{2} + 192t + 512[/tex]

Answer:

5.17

Step-by-step explanation:

just at 10 pecent

Answer:

I think that the third one is the correct answer , $4.94 i mean .

Answer:

There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

Step-by-step explanation:

Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78

Using calculator :

Sample mean, xbar = 79.06

Sample standard deviation = 9.85

Sample size, n = 17

H0 : μ = 77

H1 : μ > 77

The test statistic : (xbar - μ) ÷ (s / sqrt(n))

(79.06 - 77) ÷ (9.85 / sqrt(17))

2.06 ÷ (9.85 / sqrt(17))

= 0.8623

The Pvalue from Tscore :

Pvalue = 0.20063

Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

Answer:

C) 2

Step-by-step explanation:

I got it right on Edge 2021

The reason is that you can see that on the first matrix a and d are the same number, meaning that a and d on the second matrix need to be the same as well.  Brainliest please :)

Ignore grammar and spelling mistakes

Answer: 2

Step-by-step explanation:

Answer:

The initial value, b = $3.50 is the skate rental fee

The rate of change, 'm' is $3.0 is the hourly rate charged by the roller skating rink

Step-by-step explanation:

From the question we have;

The charges of the roller skating rink = A skate rental fee + An hourly rate

The total cost to skate for 2 hours = $9.50

The total cost to skate for 5 hours = $18.50

The relationship between the total cost of skating and the duration in hours = Linear relationship

Let 'x' represent the number of hours skating and let 'y' represent the total cost, we have;

The form of the equation is y = m·x + b

Where;

m = The rate of change of the linear relationship

b = The initial value (y-intercept)

When x = 2, y = 9.50

Therefore, we can write;

9.50 = 2·m + b...(1)

When x = 5, y = 18.50

Therefore, we can write;

18.50 = 5·m + b...(2)

Subtracting equation (1) from equation (2) gives;

18.50 - 9.50 = 5·m - 2·m + b - b = 3·m

9.0 = 3 × m

∴ m = 9.0/3 = 3.0

The rate of change, m = 3.0

Similarly, we have;

From equation (1), we get;

9.50 = 2·m + b = 2 × 3.0 + b = 6.0 + b

9.50 = 6.0 + b

∴ b = 9.50 - 6.0 = 3.50

The initial value = 3.50

Therefore, the initial value, b = $3.50 is the skate rental fee while rate of change m = $3.0 is the hourly rate the rate.

Answer:

FV= $528

Step-by-step explanation:

Giving the following information:

Loan (P)= $480

Number of years (n)= 2 years

Simple interest (i)= 5% per year

To calculate the amount of money that Deena paid is calculated using the following formula:

FV= P*r*t + P

FV= 480*0.05*2 + 480

FV= $528

Answer:

A: 112 cubic inches

Step-by-step explanation:

A = l*w*h/3 = (6*8*7)/3

A = 336/3

Answer:

Step-by-step explanation:

12 oz is better

Answer:

The figure is omitted--please sketch it.

Set your calculator to Degree mode.

tan(18°) = h/80

h = 80tan(18°) = about 25.994 feet

The height of the flagpole is about 25.994 meters (about 26 meters).

Answer:

18

Step-by-step explanation:

Answer:

75 meters²

Step-by-step explanation:

4 cm= 5 m

12 cm= 15 m

15×5=75

Area of Patio=75 m²

Answer:

sure

Step-by-step explanation:

1) line up 641 and 63

   641

x__63_

2) multiply 3 by 1 then 4 then 6 and carry the tenths place number if there is one

  1

  641

x__63_

  1923

3) add a zero under the 3 to hold the ones place and multiply 6 by 1 then 4 then 6 and since we’re working with the tenths place now and dont forget to carry numbers if you need to

     2

     641

  x__63_

     1923

  38460

4) add your two numbers together

    1 1    

    38460

+___1923_

     40383

so that is your answer “40383”

lol sorry that this was so long

Answer:

The answer is 40,383

Step-by-step explanation:

First, you set up the multiplication. 641 is the largest number so it goes on top.   63 is the smallest number so it goes on the bottom. Draw your line. Next, you multiply 3 by 1 which is 3. Then you multiply 3 by 4 and you get 12. Since this is a two digit number, the 2 goes below the line and the 1 you place on top of the 6. Next, you multiply 3 by 6 and get 18, but don't forget the 1 you placed on top! So you get 19. Then you cross out the 1 on top of the 6 and cross out the 3. After you cross out the numbers you add a 0 under the 3 with the number that is under the line. Then you start multiplying 6x1 which is 6. 6x4 which is 24, place the 4 under the line and bring the 2 on top of the 6. Then multiply 6x6 which is 36, add the 2 you brought on top which is 38. After you did all that work, add all the numbers and your answer is 40,383! Hope this made sense and hope it helps! :3

False, the linearity assumption in ANOVA is not assessed using a QQ-plot of the residuals.

The linearity assumption in ANOVA refers to the assumption that the relationship between the independent variable(s) and the dependent variable is linear. This assumption is typically assessed by examining the residuals (the differences between the observed values and the predicted values) of the model. However, a QQ-plot is not specifically used to assess linearity.

A QQ-plot is commonly used to assess the assumption of normality in the residuals, which is another important assumption in ANOVA. It helps to visually compare the distribution of the residuals against a theoretical normal distribution. The linearity assumption is typically evaluated through other diagnostic plots, such as scatterplots of the residuals against the predicted values or the independent variable(s).

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Answer:

the answer is c or 35x^2 + 210x +315

Step-by-step explanation:

The area of the square is "d" and since it asks for the combined area of the triangle and square it has to be more than that, hope that helps.

Answer: 40 pages in total

Explanation: Porter has read 20% of the book and this translates to 8 pages of the book.

20% = 8 pages

Assume the total number of pages is x:

20% * x = 8

0.2x = 8

x = 8 / 0.2

x = 40 pages in total

Answer:

40 pages in the book

Step-by-step explanation:

8/40 = .20

The PV factor formula is given below: The formula for PV factor is: PV Factor = [1 - (1 + r)⁻ⁿ] / r

where r = discount rate, and n = number of periods.

PV factor can be used to calculate the present value of an annuity. If the amount of each payment and the number of periods are known, the present value of the annuity can be calculated using the following formula:

Present value of annuity = Payment × PV factor.

For example, suppose that you have an annuity that pays $1,000 per year for 5 years.

The discount rate is 8%. We can calculate the PV factor using the formula:

PV factor = [1 - (1 + r)⁻ⁿ] / r= [1 - (1 + 0.08)⁻⁵] / 0.08= 3.9936

The present value of the annuity can be calculated by multiplying the payment by the PV factor:

Present value of annuity = Payment × PV factor= $1,000 × 3.9936= $3,993.6

Therefore, the present value of the annuity is $3,993.6.

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The simple interest for each scenario is 1. $171, 2. $212.13, and 3. $35.15.

To calculate the simple interest for each scenario, we can use the formula: Interest = Principal × Rate × Time.

1. For $475 at 6% interest for 6 years:

Principal = $475, Rate = 6%, Time = 6 years.

Interest = 475 × 0.06 × 6 = $171.

2. For $787 at 9% interest for 3 years:

Principal = $787, Rate = 9%, Time = 3 years.

Interest = 787 × 0.09 × 3 = $212.13 (rounded to two decimal places).

3. For $131.70 at 4% interest for 6 years and 8 months (or 6.67 years):

Principal = $131.70, Rate = 4%, Time = 6.67 years.

Interest = 131.70 × 0.04 × 6.67 = $35.15 (rounded to two decimal places).

Therefore, the simple interest for each scenario is:

1. $171

2. $212.13

3. $35.15

What does "simple interest" mean?

Simple interest is a method for figuring out how much interest was paid on an amount of money during a specific time period at a specific rate. Simple interest has a fixed principle amount. Simple interest is a clear-cut and simple method for computing financial interest.

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The correct question would be as

Find the simple interest of each scenario:

1. Principal = $475, Rate = 6%, Time = 6 years.

2. Principal = $787, Rate = 9%, Time = 3 years

3. Principal = $131.70, Rate = 4%, Time = 6.67 years (6 years and 8 months)

The interest coverage ratio (times interest earned) for Nelson LLC is approximately 1.04, option C.

The interest coverage ratio is calculated by dividing earnings before interest and taxes (EBIT) by the interest expense. EBIT represents the operating income of the company before deducting interest and taxes.

Given the values:

EBIT = €10,350

Net Income = €2,528.50

Tax Rate = 25%

To calculate the interest expense, we subtract the net income from the EBIT and multiply it by (1 - tax rate):

Interest Expense = (EBIT - Net Income) × (1 - Tax Rate)

= (€10,350 - €2,528.50) × (1 - 0.25)

= €7,821.50 × 0.75

= €5,866.12

Now, we can calculate the interest coverage ratio by dividing EBIT by the interest expense:

Interest Coverage Ratio = EBIT / Interest Expense

= €10,350 / €5,866.12

≈ 1.04

Therefore, the interest coverage ratio for Nelson LLC is approximately 1.04, indicating that the company's earnings before interest and taxes are 1.04 times greater than its interest expense.

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Answer:

A= 12 Ft^2

Step-by-step explanation:

Reminder the Area formula is A=B(Base) times H(Height).

Take The base (6) and the Height (6) then multiply.

Hence, the reason is 12 Ft squared.

Answer:

option 1:a+12

Step-by-step explanation:

add 12 to a

The proportion of businesses who did not respond = 54.67%

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

54.67%

The equation for the plane through the point Po(-5, -4, 3) and perpendicular to the line x = -5 + t, y = -4 + 3t, z = -5t is 3x + 9y - 5z = -64.

To find the equation of a plane, we need a point on the plane and a normal vector perpendicular to the plane. The given point on the plane is Po(-5, -4, 3). To find the normal vector, we can use the direction vector of the given line, which is parallel to the plane. The direction vector is (1, 3, -5). Since the plane is perpendicular to this direction vector, the normal vector of the plane is (-1, -3, 5), which is the negative of the direction vector.

Now we can use the point-normal form of a plane equation. Let (x, y, z) be any point on the plane. The vector from Po to (x, y, z) is given by (x + 5, y + 4, z - 3). We can take the dot product of this vector with the normal vector (-1, -3, 5) and set it equal to zero to get the equation of the plane:

(-1, -3, 5) · (x + 5, y + 4, z - 3) = 0

-1(x + 5) - 3(y + 4) + 5(z - 3) = 0

Simplifying the equation gives us:

-1x - 3y + 5z + 64 = 0

Rearranging the terms, we obtain the equation for the plane: 3x + 9y - 5z = -64.

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Answer:

P(A or B) = 1 - P(neither A nor B)

= 1 - 5/55 = 1 - 1/11 = 10/11

= about .91 = about 90.91%

Answer:

Step-by-step explanation:

Answer:

i dont know bro

Step-by-step explanation: