You purchase a tarp to cover the driveway when it snows. The
dimensions of your driveway are 10.2 ft. by 15.7 ft. If the tarp covers
your entire driveway, how many square feet are covered? Your answer
should be a number only. Do not round.

For simplification the exponent rules must be known to us .

The exponent rules are mentioned below:

1)

Now,

Simplifying,

[(-0.5)² *(-0.5)²]²

Apply property 3,

[(-0.5)^4]^2

(-0.5)^8

2)

(3.3³)3

Simplify by property 3

= 3 ^12

3)

(y² × y)²÷4y²

Simplify by rule 3 and 4,

= y^6 ÷ 4 y²

= y^4/4

4)

(a^3 × a^6)^3/(a^4)^5

Simplify by rule 3 and 4,

=a^7

Hence with the use of exponent rules the expressions can be simplified.

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150 miles is the same as 150*5280 = 792000 feet, and one hour is equivalent to 60*60 = 3600 seconds. Now we divide 792000 feet by 3600 seconds to get the equivalent rate: 792000 ft/3600 sec = 220 ft/second. Now, we multiply the rate by 5 and get 1100 feet per 5 seconds. So, our answer is 1100 feet.

Answer: clean your shoes

Step-by-step explanation:

since you're walking on ice cream , your shoes will be sticky so one should clean them shoes with water.

Answer:

12%

Step-by-step explanation:

chatgpt

To find the experimental probability of rolling a total of 9 on two number cubes, we need to determine the number of times the total of 9 was rolled and divide it by the total number of trials.

From the given results, we can see the following pairs that have a total of 9:

(3, 6)

(4, 5)

(4, 5)

(6, 4)

(2, 1)

(1, 6)

There are 6 trials where the total is 9. Since there were 50 total trials, the experimental probability of rolling a total of 9 is:

Experimental probability = Number of favorable outcomes / Total number of outcomes

Experimental probability = 6 / 50

Experimental probability = 0.12 or 12%

Therefore, the experimental probability of rolling a total of 9 on two number cubes, based on the given 50 trials, is 12%

1. The students rolled two number cubes 50 times and wrote down the results.

2. They counted the number of times the dice added up to 9.

3. They found that the dice added up to 9 six times.

4. To calculate the experimental probability, they divided the number of times the dice added up to 9 (6) by the total number of trials (50).

5. They simplified the fraction and found that the experimental probability of rolling a total of 9 was 6/50 or 0.12.

6. The experimental probability is the likelihood of an event happening based on the results of an experiment.

7. In this case, the students found that there is a 12% chance of rolling a total of 9 on two number cubes based on their 50 trials.

8. The formula used to calculate experimental probability is:

Experimental probability = Number of favorable outcomes / Total number of outcomes

9. The name of the formula is "Experimental Probability."

10. It is important to watch the number of trials and make sure there are enough trials to get accurate results.

11. For example, if the students rolled the dice only 10 times, the experimental probability might not be as reliable.

12. A real-world example of experimental probability could be flipping a coin to see how often it lands on heads. By flipping it many times, we can calculate the experimental probability of getting heads.

bard ai

Here is the answer rewritten in easy-to-understand terms:

There are 4 ways to roll a 9 on two number cubes. In the simulation, there were 2 instances of rolling a 9, so the experimental probability of rolling a 9 is 2/50 = 0.04.

Here is the answer rewritten in a numbered list format:

1. There are 4 ways to roll a 9 on two number cubes.

2. In the simulation, there were 2 instances of rolling a 9.

3. The experimental probability of rolling a 9 is 2/50 = 0.04.

Here is the answer rewritten in a brief format:

The experimental probability of rolling a 9 on two number cubes is 2/50 = 0.04. This means that out of 50 trials, there were 2 instances of rolling a 9.

Here is the answer rewritten in a synopsis format:

In a simulation of 50 trials, there were 2 instances of rolling a 9 on two number cubes. This gives an experimental probability of 2/50 = 0.04.

Here is the answer rewritten in an abstract format:

The experimental probability of rolling a 9 on two number cubes is 2/50 = 0.04. This means that out of 50 trials, there were 2 instances of rolling a 9.

Here is the answer rewritten in a simple and easy 1st grade analogy:

If you flip a coin 50 times, you would expect to get heads about 25 times. This is because there are two sides to a coin, and each side has an equal chance of landing face up. Similarly, if you roll two number cubes 50 times, you would expect to get a total of 9 about 2 times. This is because there are 4 ways to roll a 9, and each way has an equal chance of occurring.

Here is the answer summarized in 1 sentence:

The experimental probability of rolling a 9 on two number cubes is 2/50 = 0.04.

Here is the answer to the math part:

```

Total number of trials: 50

Number of trials where a 9 was rolled: 2

Experimental probability of rolling a 9: 2/50 = 0.04

```

Here is the formula used:

```

Experimental probability = (Number of successes / Total number of trials)

```

Here is the name of the formula:

The formula used is called the experimental probability formula.

Here is what to watch:

When calculating the experimental probability, it is important to make sure that the total number of trials is large enough to be representative of the actual probability. If the total number of trials is too small, the experimental probability may not be accurate.

Here is an example:

If you roll two number cubes 10 times, you might not get a total of 9 at all. This does not mean that the experimental probability of rolling a 9 is 0. In fact, the experimental probability of rolling a 9 is still 2/50 = 0.04. However, because the total number of trials is so small, the experimental probability may not be accurate.

Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer:

First subtract (4) and (3x) from each side of the equation to isolate the x ... 5x-4=3x-8 One solution was found : x = -2 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Step-by-step explanation:

Answer:

x > 2

Step-by-step explanation:

To solve for x, we will first simplify the left side of the inequality by finding a common denominator for the fractions:

5/6x - 1/3 > 4/3

Multiplying both sides by 6 to eliminate the fractions, we get:

5x - 2 > 8

Adding 2 to both sides, we have:

5x > 10

Dividing both sides by 5, the final answer is:

x > 2

Hope this helps!

Applying the Angle Addition Postulate, the measure of angle BDC is calculated as: 57 degrees.

The Angle Addition Postulate establishes that when two angles are adjacent, the measure of the resulting angle formed by their combination is equal to the sum of their individual measures.

Therefore, according to the Angle Addition Postulate, we would have:

(-6x + 11) + (-7x + 15) = 104

Solve for x:

-6x + 11 - 7x + 15 = 104

-13x + 26 = 104

-13x = 104 - 26

-13x = 78

x = -6

Measure of angle BDC = -7x + 15

Plug in the value of x:

Measure of angle BDC = -7(-6) + 15 = 57°

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you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Answer:

[tex]58 + x = 180[/tex]

[tex]x = 122[/tex]

Angle x measures 122°.

Answer:

320 g

Step-by-step explanation:

To find the recommended daily amount of protein, we can set up a proportion using the given information:

30% of the recommended daily amount = 96 grams

Let "x" represent the recommended daily amount of protein. We can set up the proportion as:

30/100 = 96/x

To solve for x, we can cross-multiply and solve the equation:

30x = 100 * 96

30x = 9600

Dividing both sides by 30:

x = 9600 / 30

x ≈ 320

Answer:

Step-by-step explanation: 6(1 - cos²0) - 5/3.3cos0

= 6 - 2.3cos²0 - 5/3.3cos0 =  6 - 2.4 - 10/3 = -16/3

Answer:

[tex]52 + o = 180[/tex]

[tex]o = 128[/tex]

Angle o measures 128°.

The dimensions of the irregular hexagon are 17 cm, 15 cm, 14 cm, 13 cm, 22 cm and 17 cm

From the question, we have the following parameters that can be used in our computation:

Shape = irregular hexagon

Also, we have

Perimeter = 98 cm

The perimeter of a shape is the sum of its side length

An irregular hexagon has six unequal sides

using the above as a guide, we have the following:

17 + 15 + 14 + 13 + 17 + 22 = 98

This means that the side lengths are 17 cm, 15 cm, 14 cm, 13 cm, 22 cm and 17 cm

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Step-by-step explanation:

Expand the given 10 n and multiply it by the given number. 2. Then the result will be in the usual form.

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

define the height above the ground, h, as a function of time, t, using the sine function:

h(t) = A * sin(B * t + C) + D

A represents the amplitude of the function, which is half of the vertical distance covered by the rider (in this case, 30 feet).

B represents the frequency of the function, which is related to the number of complete cycles or revolutions in a given time period. In this case, the Ferris wheel completes 2 revolutions per minute, so B = 2π (since 2π radians represents one complete revolution).

C represents the phase shift of the function, which accounts for the initial position of the rider. Since the rider starts at the lowest point, there is no phase shift, so C = 0.

D represents the vertical displacement of the function, which is the average height above the ground. In this case, the center of the wheel is 30 feet above the ground, so D = 30.

Putting it all together, the trigonometric function that can be used to model the rider's height, h(t), above the ground after t seconds is:

h(t) = 30 * sin(2π * t) + 30

Therefore, the sine function can be used to model the rider's height

The phrase "it is a subset of any X ∈ C" indicates that the subject in question (denoted by "it") is a subset of every element X that belongs to the set C. In other words, whatever "it" refers to is contained within every element of the set C.

The phrase "it is a subset of any X ∈ C" indicates that the subject in question (denoted by "it") is a subset of every element X that belongs to the set C. In other words, whatever "it" refers to is contained within every element of the set C.

To provide a clearer understanding, let's break it down further:

"Subset": A subset is a collection of elements that are all contained within another set. If set A is a subset of set B, it means that every element of A is also an element of B.

"Any X ∈ C": Here, X represents a generic element of the set C. The phrase "X ∈ C" denotes that X belongs to the set C. It implies that X is one of the elements within the set C.

Combining the two parts, "it is a subset of any X ∈ C" means that "it" (referring to a specific set or collection of elements) is included in every element X of the set C. In other words, every element of C contains "it" as a subset.

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Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

as far as I can read it, he bought £800 in shares, who knows how many, is irrelevant in this case, however we also know that he got £78 for 30 years, what was the rate?

well, we can nevermind the 30 years part and keep an eye that every year his earned interest was £78 flat, so we're looking at a simple interest rate, since it's not compounding, so let's reword all that

with an initial investment of £800 yielding £78 per year, what's the interest rate?

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \pounds 78\\ P=\textit{original amount deposited}\dotfill & \pounds 800\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 78 = (800)(\frac{r}{100})(1) \implies 78=8r\implies \cfrac{78}{8}=r\implies \stackrel{ \% }{9.75}=r[/tex]

Answer:

Step-by-step explanation:

The final amount is $2203. 2

From the information given, the formula for finding the amount is expressed as;

A=Pert

Such that the parameters are;

Substitute the values, we have;

A = 300 × [tex]2.71^(^2^*^1^)[/tex]

Multiply the exponents, we have;

A = 300 × [tex]2.71^2[/tex]

Find the square value and multiply, we get;

A = $2203. 2

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Hello!

sweets     200      150

kg               5          x

x = 5 × 150 ÷ 200 = 3.75

Answer:

3.75kg

Step-by-step explanation:

200 sweet = 5kg

So 150 sweet will be X kg

200 sweet= 5kg

150 sweet =X

CROSS MULTIPLY

Therefore

200 × X =150×5

200X =750

divide both sides by 200

X=750\200

X= 3.75kg

The correct matches are 1) Approximately Bell-Shaped, 2) Skewed Right, 3) Uniform and 4) Skewed Left.

Uniform: In a uniform distribution, the data is evenly spread across the entire range, resulting in a rectangular-shaped histogram. All values have roughly the same frequency or probability. It suggests that there is an equal chance of observing any value within the given range.

Approximately Bell-Shaped: This description refers to a distribution that closely resembles a bell curve or a normal distribution. The data is symmetrically distributed around a central peak, with most values clustered near the mean. The histogram will have a characteristic bell shape, with the highest frequency at the center and gradually decreasing frequencies on both sides.

Skewed Left: A left-skewed distribution, also known as negatively skewed or left-tailed, is characterized by a long tail extending towards the lower values. The majority of the data is concentrated on the right side of the distribution, and the tail extends to the left. The histogram will show a longer tail on the left side and a shorter right side.

Skewed Right: A right-skewed distribution, also known as positively skewed or right-tailed, has a long tail extending towards the higher values. The majority of the data is concentrated on the left side of the distribution, and the tail extends to the right. The histogram will exhibit a longer tail on the right side and a shorter left side.

Hence the correct matches are 1) Approximately Bell-Shaped, 2) Skewed Right, 3) Uniform and 4) Skewed Left.

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Answer:

x = 36

y = -1

Step-by-step explanation:

The substitution method is when the value of one variable from one equation is substituted in the other equation.

y = 10/3x - 121

y = 5/4x - 46

In this case you substitute one of the equations for y.

5/4x - 46 = 10/3x - 121

Lets set the coefficient being multiplied by x to a number with a common demoninator.

15/12x - 46 = 40/12x - 121

Next isolate x and combine like terms.

15/12x - 46 = 40/12x - 121

-15/12x          -15/12x

-46 = 25/12x - 121

+121              +121

75 = 25/12x

*12/25    12/25

36 = x

------

Now lets plug x in to solve for y

(you pick either equation to do this)

y = 5/4(36) - 46

y= 45 - 46

y = -1

The surface area of the triangular base prism is 360 cm².

The prism above is a triangular base prism. The surface area of the triangular base prism can be calculated as follows:

Therefore,

surface area of a triangular prism = (a + b + c)l + bh

where

Therefore,

surface area of a triangular prism = (5 + 12 + 13)10 + 5(12)

surface area of a triangular prism = (30)10 + 60

surface area of a triangular prism = 300 + 60

surface area of a triangular prism = 360 cm²

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The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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The value of sinθ is √17/7 and the value of [?] is √17

According to The Pythagorean identity,

Sin²θ + Cos²θ = 1

This is a Trigonometric equation, where 'sin' refers to 'sine' and 'cos' refers to 'cosine' which are functions revealing the shape of a right-angled triangle.

Given, cosθ=4√2/7

Cos²θ = 32/49

From equation 1 we get,

Sin²θ = 1 - Cos²θ

Sin²θ = 1 - (32/49)

Sin²θ = (49-32)/49

Sin²θ = 17/49

Sinθ = √(17/49)

Sinθ = √17 / 7

Given, sinθ = √[?] / [ ]

[?] = 17

Therefore, The value of sinθ is √17/7 and the value of [?] is √17

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The probability of landing on purple to the nearest hundredth: 0.15

The total number of spins is 84, and the probability of landing on purple is 13/84 = 0.15476.

Rounding to the nearest hundredth, this is 0.15.

Elaborating:

Number of times the spinner landed on purple: 13

Total number of spins: 84

Probability of landing on purple: (13/84) = 0.15476

Probability of landing on purple to the nearest hundredth: 0.15

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The Complete Question

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:

Spinner Results

Color Frequency

Red 18

Blue 15

Green 20

Yellow 18

Purple 13

Based on these results, express the probability that the next spin will land on purple as a decimal to the nearest hundredth.