There is a cube with sides of 10 cm long and a sphere with a radius of 10 cm. How

much bigger is the sphere than the cube to the nearest cubic centimeter? (Use 3.14 for pie.The volume of a sphere is far where r is the radius) Show work.

W =3g is the correct answer.

If we have W/3 = g, we can solve for W by multiplying both sides by 3:

W/3 * 3 = g * 3

This simplifies to:

W = 3g

So we can say that W is equal to 3 times g.

In terms of elaboration, this equation represents a relationship between two variables, W and g. It states that if we know the value of g, we can determine the value of W by multiplying g by 3.

This relationship can be used in various contexts, such as in physics to calculate the weight of an object (W) given its mass (g), assuming a certain gravitational force. It is important to understand and apply such relationships in various mathematical and scientific fields.

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9514 1404 393

Answer:

  sin -12/13

Step-by-step explanation:

You can use the identity ...

  tan = sin/cos

to solve for sine:

  sin = cos·tan

  sin = (-5/13)(12/5) =

  sin -12/13

The formula for the distance from the origin is distance = √(x² + y²)

In this case, the hypotenuse is the distance from the origin to the point (x, y), and the other two sides are the horizontal distance from the origin to the point, which is x, and the vertical distance from the origin to the point, which is y. Therefore, the distance from the origin to the point (x, y) is given by the following formula:

distance = √(x² + y²)

This formula is also known as the distance formula or the Pythagorean distance formula. It can be used to find the distance between any two points in a two-dimensional coordinate system.

The distance from the origin can also be expressed in terms of polar coordinates, which are a different way of describing points in a two-dimensional space.

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The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:

Calculate the seasonal factor for each day by multiplying the seasonal index by the level.

Monday: 1.10 × 20 = 22

Tuesday: 0.95 × 20 = 19

Wednesday: 0.90 × 20 = 18

Thursday: 0.80 × 20 = 16

Friday: 1.25 × 20 = 25

Update the level and trend using the following formulas:

New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)

New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend

For Tuesday:

New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636

New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364

Forecast the number of customers served on each subsequent day using the formula:

Forecast = (New Level + Forecasted Trend) × Seasonal Factor

Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909

Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273

Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455

Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091

Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.

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Answer:

425

Step-by-step explanation:

(4, 8, 1), (0, 11, 2), and (4, 10, 8) are the translated vertices right along the y-axis.

it is given that,

A(4, 5, 1)

B(0, 8, 2)

C(4, 7, 8)

Which are in x, y, and z, format.

here we need to translate three units to the right along the y-axis.

Right means addition and we have to choose only y- coordinates.

A(4, 5, 1) → A'(4, 5+3, 1)

B(0, 8, 2) → B'(0, 8+3 , 2)

C(4, 7, 8) → C'(4, 7+3, 8)

This gives us,

(4, 5, 1) → (4, 8, 1) → (x, y, z)

(0, 8, 2) → (0, 11, 2) → (x, y, z)

(4, 7, 8) → (4, 10, 8) → (x, y, z)

thus, these are our required vertices.

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Answer:

Step 1: Locate and underline the whole numbers place (2) then look at the digit to the right (6):

2.6

Step 2: In this case, the digit to the right (6) is 5 or above. So, we add 1 to the whole numbers place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 3 as the answer.

In short: 2.6 rounded to the nearest whole number is 3.

Answer:

i think megan

Step-by-step explanation:

Answer:

Im pretty sure Nora has a better ratio of candy

This a point-slope equation of a line problem.

The point-slope form of an equation of a line is given by the equation:

From the provided information, we have:

Thus, the equation of the line is:

Hence, the equation of the line is:

The answer is 21%

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Dylan opened a credit card account with $625.00 of available credit. Now that he has made some purchases, Dylan's account only has $493.75 of available credit.

Thus change in amount is 625-493.75=131.25

percentage change = 131.25/625 × 100

                                 = 21%

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Answer:

I have difficulty understanding the question.  I read it as "What is the value of  a number that when multiplied by 0.3 times (8/4) is equal to 34.55.  This doesn't seem correct, but if it is:

Step-by-step explanation:

(0.3)*(8/4)x = 34.55

(8/4)x = 115.17

x = (4/8)*(115.17)

x = 57.58

21 is the correct answer.

The expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

In the question

the given expression is (2/5 * t - 7 + 2/3 * t) - (5/6 * t + 14)

Simplifying the expression further

we get ,

\(= \frac{2}{5} t-7+\frac{2}{3} t-\frac{5}{6} t-14\)

writing the like terms together

= t * (2/5+2/3-5/6)-7-14

taking LCM of 5,3,6 as 30 and simplifying further we get ,

= t * (12/30 + 20/30 -25/30) - 21

= t * (7/30) - 21

which can also be written as (7/30)*t + (-21) .

Therefore , the expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

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The parallel lines a and b (a║b), the alternate interior angles, ∠(5·x - 7) and ∠(3·x + 17), and the linear pair angles, ∠(5·x - 7) and ∠(4·y + 3) gives;

Parallel lines are lines that are continuously equidistant from each other along their length and never meet.

The given parameter are;

Line a is parallel to line b, which gives a║b

From the figure, we have;

∠(5·x - 7) and ∠(3·x + 17) are alternate interior angles

Alternate interior angles formed between parallel lines are congruent, which gives;

∠(5·x - 7) ≅ ∠(3·x + 17)

∠(5·x - 7) = ∠(3·x + 17)  definition of congruent angles

5·x - 7 = 3·x + 17

5·x - 3·x = 17 + 7 = 24

2·x = 24

\(x = \dfrac{24}{2} =12\)

x = 12

∠(5·x - 7) and ∠(4·y + 3) are linear pair angles,. which gives;

∠(5·x - 7) and ∠(4·y + 3) are supplementary angles (linear pair angles are supplementary)

∠(5·x - 7) + ∠(4·y + 3) = 180° definition of supplementary angles

5·x - 7 + 4·y + 3 = 180

5×12 - 7 + 4·y + 3 = 180

4·y = 180 - (5×12 - 7 + 3) = 124

y = 124 ÷ 4 = 31

y = 31

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Answer:

7/4

Step-by-step explanation:

if you divide 7/4, you will get 1.75 which is greater than 1.43.

Answer:

Hi, your answer is 7/4

Step-by-step explanation:

Hope this helps :D

Answer:

The function that relates the distance traveled d to the time t is

f(t) = 110t, where d = f(t)

Step-by-step explanation:

From the question, we were told that the train is At a constant speed, the train travels 330 kilometers in 3 hours

We were told to write function that relates the distance traveled d to the time t, we can do this by writing a linear equation with those functions

Since we are told that the train travels 330 kilometers in 3 hours, then we can say the train travel (330/3) kilometers in 1 hour which means it travel 110 kilometers in 1 hour

Then d= 110t---------------eqn(1)

If if t = 0, then d = 0, as well since at t=0 the train is at the station

At t = 1 then d = 110.

From equation (1) d can be replaced by f(t) then we have

f(t) = 110t----------------eqn(2)

Now we replace d by f (t), because d = f t):

f(t) = 120t

Therefore, The function that relates the distance traveled d to the time is f(t) = 120t

The domain of the parabola is all real numbers, and the range is f(x) ≤ -31/8.

The domain of a parabola is all real numbers unless there are restrictions on the variable. In this case, there are no such restrictions, so the domain is (-∞, ∞). To find the range, we can complete the square to rewrite the function in vertex form: f(x) = -2(x - 4)² + 1.5.

Since the squared term is negative, the parabola opens downward, and the vertex is at (4, 1.5). The maximum value of the function occurs at the vertex, so the range is f(x) ≤ 1.5. However, since the coefficient of the squared term is negative, we need to multiply the range by -2 to get the correct inequality. Thus, the range is f(x) ≤ -31/8.

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Answer:

B

Step-by-step explanation:

Given

- 7b = 21 ( divide both sides by - 7 )

b = - 3

Answer:

self awareness it's is to know more about your self

Answer:

105

Step-by-step explanation:

The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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The amount by which Stephanie sold the item is given as follows:

1560 naira.

The amount by which Stephanie sold the item is obtained applying the proportions in the context of the problem.

The amount at which the item was purchased is given as follows:

1500 naira.

Hence the amount at which the item was sold is given as follows:

1.04 x 1500 = 1560 naira.

The problem asks for the amount by which Stephanie sold the item.

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Answer:

It's a square; vertice f is 6 units to the right of vertice e and g is 6 units above f, and h is 6 units to the left of g. This means there are four sides of equal length, with equal angles.

do you need more than that?

The second post is 30 feet tall because the ratio of the shadows is 2:1, meaning that for every 2 feet of shadow, the post is 1 foot tall.

1. ratio of shadows is 2:1, so for every 2 feet of shadow, the post is 1 foot tall

2. 60 feet of shadow divided by 2 is 30 feet tall

3. 24 feet of shadow divided by 2 is 12 feet tall

4. 30 feet tall is the second post

The goal post that casts a 60-foot shadow is 20 feet tall, and the ratio of the shadows is 2:1, meaning that for every 2 feet of shadow, the post is 1 foot tall. To find the height of the second post, we divide the length of the shadow by 2. The second post casts a 24-foot shadow, so when we divide it by 2, the post is 12 feet tall. Therefore, the second post is 30 feet tall. This is because for every 2 feet of shadow, the post is 1 foot tall, so for the 60-foot shadow, the post was 20 feet tall, and for the 24-foot shadow, the post is 12 feet tall. Therefore, the second post is 30 feet tall.

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9514 1404 393

Answer:

  A = 8x³ +4x² -4x

Step-by-step explanation:

Put the given values into the area formula and simplify.

  \(A=\dfrac{1}{2}h(b_1+b_2)\\\\A=\dfrac{1}{2}(4x)((x^2+2)+(3x^2+2x-4))\\\\A=(2x)(4x^2+2x-2)\\\\\boxed{A=8x^3+4x^2-4x}\)