Tim worked twenty hours during the last five days assuming that he worked the same amount of hours each day, how long did he work each day​

The height of the rectangular prism is 10 meters, calculated using the formula V = l × w × h with the given values of V, l, and w.

We know that the volume of a rectangular prism is given by:

V = l × w × h

where V is the volume, l is the length, w is the width, and h is the height.

Given that the volume of the rectangular prism is 161.2 m³ and the base of the prism is 5.2 m by 3.1 m, we can write:

161.2 = 5.2 × 3.1 × h

Simplifying the equation, we get:

h = 161.2 / (5.2 × 3.1)

h = 10

Therefore, the height of the rectangular prism is 10 meters.

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Answer:

A

Step-by-step explanation:

1. The average rate of change in a riders height between 1 and 3 seconds -30 ft/s

2. The average rate of change in a riders height between 0 and 5 seconds -24 ft/s

3. Another word for rate of change in this situation is speed

Speed is defined as the rate of change of the distance travelled with time. Mathematically, it can be expressed as:

Speed = distance / time

With the above idea, we can obtain the answers to the question given above.

Rate = Change in height / change in time

Rate = -60 / 2

Rate = -30 ft/s

Rate = Change in height / change in time

Rate = -120 / 5

Rate = -24 ft/s

From the definition of speed given above, we can say that: another word for rate of change is speed

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Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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The height of the building is given by 35.23 m.

Hence the correct option is (D).

Considering the given information the diagram will be as follows,

Now from diagram using trigonometric ratio we can conclude that,

tan θ = Opposite / Adjacent

Here opposite = h

and adjacent = 100 m

and the angle is (θ)= 19 degrees

tan 19 = h / 100

h = 100 tan (19)

h = 34.43 m

So the total height of the building is given by

= h + 0.8 = 34.43 + 0.8 = 35.23 m.

Thus the height of the building is given by = 35.23 m.

Hence the option (D) is the correct answer.

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Answer:

2/5y and -0.2y

Step-by-step explanation:

both have y as their variable

To sketch the graph of the polynomial function y = x³ - 3, we can use a series of transformations to obtain the final graph. Let's break down the process step by step:

1. Start with the graph of the basic cubic function y = x³. This function is symmetric with respect to the origin and passes through the point (0, 0).

2. Apply a vertical shift downward by 3 units. This means that each point on the graph will move 3 units downward. The new function becomes y = x³ - 3. The graph will now pass through the point (0, -3).

3. Analyze the behavior of the function for large positive and negative values of x. As x approaches positive infinity, y approaches positive infinity, and as x approaches negative infinity, y approaches negative infinity. This information gives us an idea of how the graph extends beyond the visible region.

4. Observe that the graph is a smooth curve with no sharp corners or breaks.

Using these steps, we can sketch the graph of the polynomial function y = x³ - 3. The graph will have a shape similar to a basic cubic function, but it will be shifted downward by 3 units. It will pass through the point (0, -3) and exhibit behavior characteristic of a cubic function. The graph extends infinitely in both the positive and negative x directions.

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Answer:

480 units^2

Step-by-step explanation:

5 * 12 =  60

13 * 14 = 182

12 *14 =  168

5 * 14 =  70

            480

The surface area of the given prism will be 480 square units so the correct answer is option C.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The triangular prism is having 6 surfaces so the surface area will be the sum of the area of all the sides of the prism.

The area of all the sides of the prism will be calculated as follows:-

5  x 12 =  60

13 x  14 = 182

12 x 14 =  168

5  x  14 =  70

The total surface area of the prims will be:-

SA of prism = 60 + 182 + 168 + 70 = 480 square units

Therefore the surface area of the given prism will be 480 square units so the correct answer is option C.

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Answer:

They pass through origin

Step-by-step explanation:

Hope maka help

Im pretty sure the answer is A but if not then it is C

This is bcuz B doesn’t make sense because the graph doesn’t say anything close to 100 rides and D doesn’t make sense either.

Hope this helped.

Answer:

√8

Step-by-step explanation:

Answer:

-3x is the answer

Step-by-step explanation:

Answer:

ambotchat hghxy grey gueter Fri h I really want you

Answer:

355.95

Step-by-step explanation:

i am going with my heart that this is correct.

Answer:

b. 600

Step-by-step explanation:

subtract money from parents from tuition

divide by months

Answer:

depends on context, 95% of what number? But in general it would be 95% because 0.9= 90%

Step-by-step explanation:

Answer:

3.9

Step-by-step explanation:

The domain and range of F is F={(x, y) Ix+y=10] is: 3. Domain: All Real Numbers Range: All Real Numbers

The given set F={(x, y) | x+y=10} represents a linear equation where the sum of x and y is always equal to 10.

To determine the domain and range of F, we need to consider the

possible values of x and y that satisfy the equation.

Domain: The domain represents the set of all possible values for the independent variable, which in this case is x. Since there are no restrictions on the value of x, the domain is All Real Numbers.

Range: The range represents the set of all possible values for the dependent variable, which in this case is y. By rearranging the equation x+y=10, we can solve for y to get y=10-x. Since x can take any real value, y can also take any real value. Therefore, the range is also All Real Numbers.

The correct answer is: 3. Domain: All Real Numbers Range: All Real Numbers

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Answer:

its most likely B

Step-by-step explanation:

Answer: There are 20 sides of a given regular polygon.

Step-by-step explanation:

To calculate the sides of a regular polygon, we use the equation:

\(\text{Number of sides}=\frac{360^o}{\text{Smallest angle of rotation}}\)

We are given:

Smallest angle of rotation = \(18^o\)

Putting values in above equation, we get:

\(\text{Number of sides}=\frac{360^o}{18^o}\\\\\text{Number of sides}=20\)

Hence, there are 20 sides of a given regular polygon.

Answer:

20

Step-by-step explanation:

edg did the test

Given:

A social security number contains nine digits.

As there are 10 digits from 0 to 9.

There are 9 positions and every position has 10 possibilities.

If repetition is allowed the number of ways are,

Answer: the number of ways are,

Step-by-step explanation:

kya tablet side apply the side of the wall has 22 M and 20 m

Answer:

graph C

Step-by-step explanation:

if x≥ 0

x + 1 > 7/2

x > 7/2 - 1

x > (7-2)/2

x > 5/2

if x < 0

-x + 1 > 7/2

- x > 7/2 - 1

- x > 5/2

x < -5/2

final solutions

x < -5/2 ∨ x > 5/2

The lift and drag if the shear stress is neglected, than the values of F0 = 1.1955 KN & F1 = 8.014 KN.

The average pressure and shear stress acting on the surface of the 1-m-square flat plate.

P1 = 2.3 * 3 = 6.9 KN/m^2

P2 = -1.2 KN/m^2

T1 = 7.6 * 10^-2 * 2 = 0.152 KN/m^2

T2 = 0.058 KN/m^2

Now,

Drag force

F0 = F1sinα - F2sinα + FS1cosα+FS2cosα

= P1Asinα - P2sinα + T1Acosα + T2Acosα

= Asinα(P1-P2) + Acosα(T1 + T2)

= 1.sin(T)[6.9-(-1.2)] + 1. cos (T)[0.152 + 0.058]

= 0.98714 + 0.20843

= 1.1955 KN

Lift force

F1 = F1cosα - F2cosα - FS1sinα - FS2sinα

= P1cosα - P2Acosα - T1Asinα - T2Asinα

= Acosα(P1 - P2) - A.sinα(T1 + T2)

= 1. cos(T)(6.9 - (-1.2)) - 1. sin(T)(0.152 + 0.058)

= 8.014 KN

Hence the answer is the lift and drag if the shear stress is neglected, than the values of F0 = 1.1955 KN & F1 = 8.014 KN.

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When gravity acts on the air, the air exerts a force upon the earth called pressure. The typical pressure at sea level is 1013.25 millibars or 14.7 pounds per square inch.

The lift and drag if the shear stress is neglected, than the values of F0 = 1.1955 KN & F1 = 8.014 KN.

The average pressure and shear stress acting on the surface of the 1-m-square flat plate.

P1 = 2.3 * 3 = 6.9 KN/m^2

P2 = -1.2 KN/m^2

T1 = 7.6 * 10^-2 * 2 = 0.152 KN/m^2

T2 =0.058 KN/m^2

Now,

Drag force

F0 = F1sinα - F2sinα + FS1cosα+FS2cosα

= P1Asinα - P2sinα + T1Acosα + T2Acosα

= Asinα(P1-P2) + Acosα(T1 + T2)

= 1.sin(T)[6.9-(-1.2)] + 1. cos (T)[0.152 + 0.058]

= 0.98714 + 0.20843

= 1.1955 KN

Lift force

F1 = F1cosα - F2cosα - FS1sinα - FS2sinα

= P1cosα - P2Acosα - T1Asinα - T2Asinα

= Acosα(P1 - P2) - A.sinα(T1 + T2)

= 1. cos(T)(6.9 - (-1.2)) - 1. sin(T)(0.152 + 0.058)

= 8.014 KN

Hence the answer is the lift and drag if the shear stress is neglected, than the values of F0 = 1.1955 KN & F1 = 8.014 KN.

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Answer:

  8. 35°

  9. m = 115, n = 80

  10. a = 28.5, b = 10

Step-by-step explanation:

You want to know the values of angles and variables in figures that have inscribed angles and quadrilaterals.

An inscribed angle is one whose vertex lies on a circle, and whose rays intercept an arc of the circle. The measure of an inscribed angle is half the measure of the intercepted arc.

This gives rise to several useful relationships.

The marked angle and angle DFE both intercept arc DE, so they are congruent:

  ∠DFE = 35°

The angle marked m° is opposite the angle marked 65° in the inscribed quadrilateral.

  m = 180 -65

  m = 115

The angle marked n° is opposite the angle marked 100°.

  n = 180 -100

  n = 80

One way to solve this problem is to first find the measures of angles Y and Z.

  Y = (64° +125°)/2 = 189°/2 = 94.5°

  Z = (64° +136°)/2 = 200°/2 = 100°

The opposite angles are supplementary:

  3a° = 180° -Y = 180° -94.5° = 85.5°

  a = 85.5/3 = 28.5

And ...

  8b° = 180° -Z = 180° -100° = 80°

  b = 80/8 = 10

The values of 'a' and 'b' are 28.5 and 10, respectively.

__

Additional comment

There is another special form of "inscribed" angle that is formed by an external tangent to a circle and a chord to the point of tangency. The arc intercepted by the chord has twice the measure of the "inscribed" angle between the chord and the tangent.

One way to think of this geometry is as the degenerate case of an inscribed angle that has the vertex approach one end of the intercepted arc.

\(4-\cfrac{2}{3}b+\cfrac{1}{4}a~~ + ~~\cfrac{1}{2}a+\cfrac{1}{6}b-7\implies 4-\cfrac{2b}{3}+\cfrac{a}{4}~~ + ~~\cfrac{a}{2}+\cfrac{b}{6}-7 \\\\\\ \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left(-\cfrac{2b}{3} + \cfrac{b}{6}\right)+(4-7)\implies \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left( \cfrac{b}{6}-\cfrac{2b}{3} \right)+(4-7)\)

\(\left( \cfrac{(1)a+(2)a}{\underset{\textit{using this LCD}}{4}} \right)+\left( \cfrac{(1)b-(2)2b}{\underset{\textit{using this LCD}}{6}} \right)+(-3) \\\\\\ \left( \cfrac{a+2a}{4} \right)+\left( \cfrac{b-4b}{6} \right)-3\implies \left( \cfrac{3a}{4} \right)+\left( \cfrac{-3b}{6} \right)-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} \cfrac{3}{4}a-\cfrac{1}{2}b-3 \end{array}}~\hfill\)

Step-by-step explanation:

given

2x + y = 13

turning to y = ax + b we get

y = - 2x + 13

hope it helps :)❤

The interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Leah is going to invest P=$30,000 and leave it in an account for t=7 years.

Put the values in the above formula to find rate of interest.

\(A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\40000=30000\times\left(1+\dfrac{r}{12\times30\times100}\right)^{12\times30\times(7)}\\r=4.11 \5\)

Thus, the interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.

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Answer:

It is a 10% Decrease

Step-by-step explanation:

Answer:

35579 9ytfcvgbji9u8y7tgfrcv bnmk, 4its 47906900-

The probability that the 5th ball drawn is red and the 8th ball drawn is blue is 45/196 or approximately 0.2307.

What is probability ?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

The probability of drawing a red ball on the 5th draw is the number of red balls divided by the total number of balls in the bin, which is 5/14. The probability of drawing a blue ball on the 8th draw is the number of blue balls divided by the total number of balls in the bin, which is 9/14.

The probability of both events happening is the product of the individual probabilities:

P(red on 5th draw and blue on 8th draw) = (5/14) * (9/14) = 45/196

So, the probability that the 5th ball drawn is red and the 8th ball drawn is blue is 45/196 or approximately 0.2307.

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The probability that the 5th ball drawn is red and the 8th ball drawn is blue is 45/196 or approximately 0.2307.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

The probability of drawing a red ball on the 5th draw is the number of red balls divided by the total number of balls in the bin, which is 5/14. The probability of drawing a blue ball on the 8th draw is the number of blue balls divided by the total number of balls in the bin, which is 9/14.

The probability of both events happening is the product of the individual probabilities:

P(red on 5th draw and blue on 8th draw) = (5/14) * (9/14) = 45/196

So, the probability that the 5th ball drawn is red and the 8th ball drawn is blue is 45/196 or approximately 0.2307.

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The required time after the pebble is thrown will it hit the​ ground is 10 second.

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

We have,

Height of waterfall = 1500 feet, Velocity = 20 feet per second.

h = -16t^2 + 20t +1500

What height will the pebble have when it reaches the ground? At h = 0, it will be.

h = -16t2 + 16t + 1500

0 = -16t2 + 16t + 1500

Divide both sides by 4 to simplify things since all three terms share a common component of 4.

0 = -4t2 + 4t + 375

You can either apply the quadratic formula or try to factor this out. I advise using the quadratic formula because factoring 375 is not enjoyable.

t = [-b ± √(b2 - 4ac)] / 2a

Your equation reads a = -4, b = 4, and c = 375.

t = [-4 ± √(42 - 4(-4)(375))] / 2(-4) (-4)

t = [-4 ± √(6016)] / -8

You receive a favourable and a negative response. The positive number serves as your answer, and you can disregard the negative result. I receive a value of about 10 seconds.

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