During 1 hour of television there are 12 commercials. If you watch 3 hours of television how many commercials will there be (please explain in numbers

The volume of the step and the surface area of the steps are 120000 cm³ and 26,400 cm² respectively.

What is a Rectangular Prism?

A rectangular prism is a three-dimensional shape that consists of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

The given steps can be divided into 3 rectangular boxes each with length, l = 1 m = 100 cm, width, w = 20 cm, and height, h = 20 cm.

The volume of a rectangular box = l × w × h

= 100 × 20 × 20

= 40000 cm³

Volume of 3 rectangular boxes = 3 × 40000 cm³

= 120000 cm³

Surface area of a rectangular box = 2 (lw + lh + wh)

= 2 [(100 × 20) + (100 × 20) + (20 × 20)]

= 2 [2000 + 2000 + 400]

= 2 [4400]

= 8800 cm²

The surface area of 3 rectangular boxes = 3 × 8800

= 26,400 cm²

Hence, the volume of the steps is 120000 cm³ and the surface area of the steps is 26,400 cm².

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Answer:

i pretty sure its 60 degrees

Step-by-step explanation:

correct me if im wrong but all of those should add up to 180

Answer:

The answer is 65 degrees I hope this helps sorry if it doesn't

Step-by-step explanation:

I did 180 which is a half circle minus 115 and that gave me 65 for angle 2

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The perimeter of each tile Mei uses is 20 units.

The distance or length of any line on the graph,

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

where,

d = distance or the length of the line between point 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

The distance between two points on a graph is found using the formula,

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Now, the length between the following points can be found using the above formula.

The length fo the sides of the polygons are:

Now, the perimeter of the polygon can be written as,

\(\rm \text{Perimeter of the polygon} = 5+5+5+5 = 20\ units\)

Hence, the perimeter of each tile Mei uses is 20 units.

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Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

\(6.4m,~6.31m,~6.2m~ 6 .19m,~ 6.077m,~ 6.009m​,\)

Step-by-step explanation:

This Is Doing Least to greatest And The Bigger number Always "Eats the smaller number"

For Example, we Have 2 numbers The 1st Number is 93  And the Second Number is 82 We can write those numbers like this  \(93 >82\)

As you can see 93 is Bigger than 82 So it's GREATER THAN 82

We Have 2 Numbers The 1st Number is 1,000 And the Second Number is 550 We can set that equation like this  \(550< 1,000\) As you can see 550 is way smaller then 1,000 so it's LESS THAN 1,000

\(-Cherry-\)

Answer:

I think the answer is 5.

Step-by-step explanation:

f(x) = 2x + 7

f(-1)=2(-1)+7

f(-1)=-2+7

f(-1)=5

If their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.

The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers.

The minimum income amount depends on your filing status and age. In 2022, for example, the minimum for single filing status if under age 65 is $12,950. If your income is below that threshold, you generally do not need to file a federal tax return. Review the full list below for other filing statuses and ages.

Taxable income

a. Taxable income:

Taxable income=Gross income - Total taxes due

Taxable income=$63,000-$6,847.50

Taxable income=$56,152.5

b. The marginal tax rate for taxable income  under the income bracket of of $40,526 to $86,375 is 22%.

c. Effective tax rate:

Effective tax rate = Total taxes due/ Taxable income×100

Effective tax rate =$6,847.50/$56,152.5×100

Effective tax rate =10.869%

Effective tax rate =10.87% (Approximately)

Inconclusion if their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.

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Answer:

18382913 = 4287.529941586414 the answer

Hope this helps!!!!

The probability that the playlist ends up in alphabetical order is 1/252.

To calculate the probability of the playlist ending up in alphabetical order, we need to consider the total number of possible arrangements and the number of arrangements that satisfy the condition of being in alphabetical order. Given that there are 10 songs and we want to arrange 5 of them in alphabetical order, we can calculate the probability as follows: Calculate the total number of possible arrangements: The total number of ways to arrange 5 songs out of 10 is given by the combination formula, denoted as "nCr":

Total arrangements = 10C5 = (10!)/(5! * (10-5)!) = 252.

Calculate the number of arrangements that satisfy the condition of being in alphabetical order: Since we want the playlist to be in alphabetical order, there is only one specific arrangement that meets this condition. Calculate the probability: Probability = Number of arrangements in alphabetical order / Total number of possible arrangements= 1 / 252

Therefore, the probability that the playlist ends up in alphabetical order is 1/252.

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Answer:

standard form:   y = x² - 2x - 8

vertex form:  y = (x − 1)² - 9

factorized form:  y = (x + 2)(x - 4)

Step-by-step explanation:

From inspection of the graph:

Standard quadratic form:   y = ax² + b x + c

Vertex form of a quadratic equation:   y = a(x − h)² + k

If a > 0 then the parabola opens upwards

If a < 0 then the parabola opens downwards

(h, k) is the vertex

c is the y-intercept

Inputting the vertex into the vertex form gives:

y = a(x − 1)² - 9

  = a(x² - 2x + 1) - 9

  = ax² - 2ax - 8

Using the x-intercepts to create a quadratic equation:

y = a(x + 2)(x - 4)

  = a(x² - 2x - 8)

  = ax² - 2ax - 8a

Comparing the y-intercepts:

-8 = -8a  ⇒  a = 1

Therefore,   y = x² - 2x - 8

A $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.  A $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

The formula to calculate the value of a CD after a specific duration at a specific interest rate compounded annually is given by:

A = P(1 + r/n)^(nt)

where P is the principal,

r is the annual interest rate,

n is the number of times compounded per year,

t is the number of years, and

A is the value of the CD at maturity.

Here, we need to calculate the value of a $1,000 initial investment in each bank's CD at maturity.

Let's calculate the value of a $1,000 investment in Bank ABC's CD.

P = $1,000

r = 5.0% compounded annually

t = 10 years

n = 1

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.05/1)^(1x10)A = $1,628.89

Therefore, a $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.

Let's calculate the value of a $1,000 investment in Bank XYZ's CD.

P = $1,000

r = 4.95% compounded daily

t = 10 years

n = 365

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.0495/365)^(365x10)A = $1,622.82

Therefore, a $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

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Given a ray passing through a line at an angle of 29 degrees, the angle opposite to it (angle R) can be found by subtracting 29 degrees from 180 degrees. Therefore, the value of angle R is 151 degrees.

We are given that a ray passes through a line, making an angle of 29 degrees with the line. Let us represent this situation as follows

The angle R represents the angle opposite to the angle of 29 degrees. Since the ray and the line form a straight line, their angles add up to 180 degrees. Therefore, we can write

angle R + 29 degrees = 180 degrees

To solve for angle R, we can subtract 29 degrees from both sides of the equation

angle R = 180 degrees - 29 degrees

Simplifying the expression, we get

angle R = 151 degrees

Therefore, the value of angle R is 151 degrees.

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Answer:

For starters how much does it cost to rent out the shoes

2nd of all how much does it cost too play each game ??

Step-by-step explanation:

ill answer just gimme the info pls

Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

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The conditions for inference are not met. Specifically, the random condition is not met for both samples.

For inference to be valid, the samples should be selected randomly from their respective populations. In this case, the coach selected a random sample of 5 players from his team and 5 players from the rival team. However, since the selection was limited to only 5 out of 11 players in each team, the random condition is not fully satisfied.

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The measures of angle ABC and DBC are 41 degrees and 43 degrees

The angles are given as

Angle ABC = (5x + 1) degrees

Angle DBC = (6x - 5) degrees

Angle ABD = 84 degrees

The angles add up to 84 degrees

So, we have:

ABC + DBC = 84

This gives

5x + 1 + 6x - 5 = 84

Evaluate the like terms

11x = 88

Divide both sides by 11

x = 8

Substitute x = 8 in Angle ABC = (5x + 1) degrees and Angle DBC = (6x - 5) degrees

Angle ABC = (5 x 8 + 1) degrees

Angle DBC = (6 x 8 - 5) degrees

Evaluate

Angle ABC = 41 degrees

Angle DBC = 43 degrees

Hence, the measures of angle ABC and DBC are 41 degrees and 43 degrees

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Answer:

\(\frac{20}{(x+4)(x+6)}\)

Step-by-step explanation:

assuming you require the expression simplified

\(\frac{x-4}{x+6}\) - \(\frac{x-6}{x+4}\)

multiply the numerator/denominator of the first fraction by (x + 4)

multiply the numerator/denominator of the second fraction by (x + 6)

= \(\frac{(x-4)(x+4)}{(x+4)(x+6)}\) - \(\frac{(x-6)(x+6)}{(x+4)(x+6)}\) ← expand and simplify numerators leaving the common denominator

= \(\frac{x^2-16-(x^2-36)}{(x+4)(x+6)}\)

= \(\frac{x^2-16-x^2+36}{(x+4)(x+6)}\)

= \(\frac{20}{(x+4)(x+6)}\)

Answer:

if CB is 13 and BF is 9 than 13+9=22.So DF must be 22 too. If EF is 7 than 22-7=15 and DE is 15

Answer:

4

Step-by-step explanation:

Answer:

37.68 inches

Step-by-step explanation:

The equation for the circumference of the circle is:

\(C=2\pi r\)

We can substitute 6 in for "r" and 3.14 for "π":

\(C=2(3.14)(6\ in)\\C=12\ in(3.14)\\C=37.68\ in^\)

The coefficient of determination is often used to evaluate the usefulness of regression models.

In simple linear regression, r2 is the coefficient of determination. In statistics, a measure of the proportion of the variance in one variable that can be explained by another variable is referred to as the coefficient of determination (R2 or r2).

The coefficient of determination, often known as the squared correlation coefficient, is a numerical value that indicates how well one variable can be predicted from another using a linear equation (regression).The coefficient of determination is always between 0 and 1, with a value of 1 indicating that 100% of the variability in one variable is due to the linear relationship between the two variables in question.

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The Laplace transform of the function f(t) = 2t * h(t-4) is F(s) = 2 * e^(-4s) / s^2.

To find the Laplace transform F(s) = L{f(t)} of the function f(t) = 2t * h(t-4), where h(t) is the Heaviside step function, we can use the basic properties of Laplace transforms.

The Laplace transform of t^n, where n is a non-negative integer, is given by:

L{t^n} = n! / s^(n+1)

The Laplace transform of the Heaviside step function h(t-a), where a is a constant, is given by:

L{h(t-a)} = e^(-as) / s

Using these properties, we can calculate the Laplace transform of f(t):

F(s) = L{f(t)} = L{2t * h(t-4)}

Applying the linearity property of Laplace transforms, we have:

F(s) = 2 * L{t * h(t-4)}

Using the time-shifting property of Laplace transforms, where we substitute t - a for t in the original function, we get:

F(s) = 2 * e^(-4s) * L{t}

Now, we can calculate the Laplace transform of t:

L{t} = 1 / s^2

Substituting this back into the equation:

F(s) = 2 * e^(-4s) * (1 / s^2)

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Answer:

Rectangle

Step-by-step explanation:

Cuz it done look like a rectangle

Error in step  \(10 \cdot 16\)  (3 times 16 should be multiplied first )

Steps to simplify

\(7+3 \cdot (10-6)^2\\7+3 \cdot (4)^2\\7+3 \cdot 16\\7 \cdot 48\\ 55\)

Given :

Jillian simplified the expression \(7+3 \cdot (10-6)^2\)

Steps :

\(7+3 \cdot (10-6)^2\\7+3 \cdot (4)^2\\7+3 \cdot 16\\10 \cdot 16\\160\)

Explanation

Lets analyze step by step to find out the error.

Use order of operation PEMDAS

Start with parenthesis , exponents , multiply and divide , add and subtract

Jillian simplified the parenthesis first

Second step is correct

Next  exponent is simplified

In the fourth step , 7 and 3 are added before multiplication

10 times 16 is not correct

As per PEMDAS, we need to multiply first and then add 7

Error is step \(10 \cdot 16\)

\(7+3 \cdot 16\\7+ 48\\Add \; 7\\55\)

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Explanation:

For now, let's call the y intercept b

We'll plug in x = 2 and y = 3 from the given point to find b

y = mx+b

y = (-1/2)x + b

3 = (-1/2)*2 + b

3 = -1 + b

3+1 = b

4 = b

b = 4

The y intercept is 4

The equation of the line is y = (-1/2)x + 4

The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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Answer:

what are you asking the total or what

The quotient is the result of a division. Then, the quotient of b and 8 is:

Answer: b/8.