The area of a closet is 100 sq feet. write the number in exponent form and word form.

Carson Kelly is expected to hit approximately 31 home runs in 2024.

To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.

Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:

H(n) = H * (1 + r)^n

Where r is the growth rate, and n is the number of years into the future.

If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.

H = 18 (number of home runs in 2019)

r = 0.12 (growth rate)

n = 5 (number of years into the future)

H(5) = 18 * (1 + 0.12)^5

H(5) = 18 * 1.7623

H(5) = 31.9214

It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.

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You need to add 3.6 fluid ounces of oil to your 1.5 gallons of gasoline to create the correct oil-to-gasoline ratio for your Puch Maxi Moped.

To determine the amount of oil you need to add to your 1.5 gallons of gasoline, you first need to understand the concept of a ratio.

In this case, the ratio of oil to gasoline is 2.4 fluid ounces of oil for every gallon of gasoline.

To calculate the amount of oil you need for 1.5 gallons of gasoline, you can set up a proportion using the ratio:

2.4 fluid ounces of oil / 1 gallon of gasoline = X fluid ounces of oil / 1.5 gallons of gasoline

To solve for X, you can cross-multiply the fractions:

2.4 fluid ounces of oil x 1.5 gallons of gasoline = 1 gallon of gasoline x X fluid ounces of oil

Simplifying the equation gives:

3.6 fluid ounces of oil = X fluid ounces of oil

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Complete Question:

You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline.

You have 1.5 gallon of gas. How much oil should you add?

Answer:

The first group has 20 and the second group has 8.

Step-by-step explanation:

1. Twice as many as 8 is 16  (8x2)

2. If you add four to the total it's 20 (16+4=20)

3. So group one has four more than twice as many as group 2.

Using BODMAS we can conclude, Yes, both will give same result.

The rule used to solve mathematical expressions is known as the BODMAS rule. The order of operations for mathematical formulas requiring several operations is known as BODMAS. B. Brackets, O. Order of powers, D. Division, M. Multiplication, A. Addition, and S. Subtraction make up the acronym.

−9×(−9)−9

⇒ - 9 × 81

⇒ -729

⇒ [−9×(−9)]−9​

⇒ [81] -9

⇒ -729

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Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

its not correct because 0.8 is bigger than 0.68 which is saying that the tenths place has to be bigger

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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The triangles to use in finding the distance x are KLM and MNP. The distance x between the shoreline and buoy is 80 m.

Triangles are said to be similar when on comparing their corresponding properties, some common properties exist. The common properties are the sides and measure of angles.

Thus on comparing triangles KLM and MNP, we have;

MP/ KL = PN/ KM

20/ x = 25/ 100

make x the subject of formula

x = (20 *100)/ 25

  = 2000/ 25

  = 80

x = 80

The distance x between the shoreline and the buoy is 80 m.

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Answer:

50

Step-by-step explanation:

all your doing is dividing 100 by 20 and u get 50

Answer: 15. A. Proportional 16. B. 50 mph

Step-by-step explanation: The price and the number of apples are proportional based on the info you have given us. And B. 50 is correct because 100 miles in 2 hours is 100/2 which equals 50/1 so the unit rate would be B. 50 mph.

The correct representation of 6/1 is in figure A.

Given:

The four figures with shaded regions and unshaded regions.

To find:

The figure with the correct representation of 6/1.

Solution:

In figure A

Fraction of one box =\(\frac{1}{1}\)

There are six individual boxes that will be represented as:

\(\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{6}{1}\)

In figure B

The number of shaded regions = 5

The total number of regions = 6

The representation will be :

\(\frac{\text{Shaded region}}{\text{Total regions}}=\frac{5}{6}\)

In figure C

Fraction of one box =\(\frac{1}{1}\)

There are five individual boxes that will be represented as:

\(\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{5}{1}\)

In figure D

The number of shaded regions = 1

The total number of regions = 1

The representation will be:

\(\frac{\text{Shaded region}}{\text{Total regions}}=\frac{1}{6}\)

The correct representation of 6/1 is in figure A.

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Answer:

25

Step-by-step explanation:

So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.

So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"

So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145

So we can substitute the variables we defined to express Cameron and Hassan's age: \((x+1) + 5(x) = 145\)

Distribute the 5: \(x+1+5x\)

Add like terms: \(6x+1 = 145\)

Subtract 1 from both sides: \(6x=144\)

Divide both sides by 6: \(x=24\)

Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25

If we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.01, reject H₀ in favor of H₁. The correct answer is (a)

If the confidence interval for the population mean does not contain the hypothesized value in the null hypothesis, then we can reject the null hypothesis in favor of the alternative hypothesis.

In this case, the confidence interval is centered around 10.15, and it does not contain the hypothesized value of 16. Therefore, we can conclude that we have evidence to reject the null hypothesis at a significance level of 0.01 and accept the alternative hypothesis that the population mean is not equal to 16.

It is important to note that this decision is based on the confidence interval and significance level given in the question. If the confidence level or significance level were different, the decision might be different as well.

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Answer:

4.5m

Step-by-step explanation:

Area= Length × Breath(Width)

Area= 18m²

Length= ?

Breadth(Width)=4m

Using the formula a=l×b

18= l×4

18/4=l×4/4

L=4.5m

Answer:

4.5

Step-by-step explanation:

A=l×w

18=l×4

18/4=4l/4

l=18/4

l=4.5

The length of the radius rounded to 2 decimal points is 3.88cm.

In geometry, the area enclosed by a circle of radius r is pie  π\(r^2\).

How to round decimals?

Rounding decimals consists of rounding a decimal number to a certain number of decimal places, to save time and help us express really long numbers in shorter terms. There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.

The area of circle is \(47.39cm^2\).

Putting it in the formula we get

\(47.39cm^2\) = π\(r^2\)

\(r^2\) = 47.39 / π

r^2 = 15.0847

r = 3.88 cm

Hence the length of the radius rounded to 2 decimal points is 3.88cm.

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Answer:

x=-4 :D yw

Step-by-step explanation:

A) True. The source term in a partial differential equation (PDE) represents a forcing function or external input to the system being modeled.

A) True. The source term in a partial differential equation (PDE) represents a forcing function or external input to the system being modeled. In the finite element method (FEM), the PDE is discretized into a set of algebraic equations, and the source term appears in each of these equations.

Specifically, for each algebraic equation resulting from the discretization of the PDE, the source term contributes to the coefficient of the dependent variable on the left-hand side of the equation, and it is taken to the right-hand side of the equation. The resulting coefficient and right-hand side term are then used to construct the corresponding row of the global coefficient matrix and the right-hand side vector, respectively.

Therefore, the source term affects all algebraic equations in the finite element method and is an essential component of the mathematical model. Changing the source term will affect the solution obtained from the ANSYS solver and can result in a different physical behavior of the system being modeled.

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Answer:

A. 4

Step-by-step explanation:

x/2 - 5 = -3

x/2 = 2

x = 4

Multiply both sides of the equation by 2.

Add 10 to both sides.

Add −6 and 10 to get 4.

Answer:

3 feet in a yard, so the answer is 6

Step-by-step explanation:

2 yards x 3 feet in a yard = 6 feet

Answer:

6

Step-by-step explanation:

There are 3 feet in 1 yard, so in 2 yards there would be 6 feet.

Hope that helps!

Answer:

its most likley graph 4

Step-by-step explanation:

hope this helps and if its wrong im very sorry

The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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Answer: c.

Step-by-step explanation:

A= .5*b*h

A = .5* \(\sqrt{5} * \sqrt{10}\)

A = 3.5355339059

5/\(\sqrt{2}\) = 3.5355339059

Answer:

the first one at the top . but can you put up a better picture ?

Step-by-step explanation:

Answer:

The coordinates of X,Y,Z are given below as

The coordinates of X',Y',Z' are given below as

To figure out the translation between this two points, we will have

The coordinates of X'',Y'',Z'' are given below as

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

Hence,

The final answer is

B) Translation: (x,y) → (x – 2,y + 1); 180° rotation about the origin

Answer:

C = 314 m

Step-by-step explanation:

The circumference of a circle is given by

C = pi * d

Using 3.14 for pi

C = 3.14 * 100

C = 314 m

Answer:

The answer is option D.

Step-by-step explanation:

Circumference of a circle = πd

Where d is the diameter

From the question

d = 100m

Circumference of the circle is

100π

= 314.2

Which is 314m to the nearest whole number

Hope this helps you

Answer:

i don"t know ask your mom

Answer:

\((9n + 18) + (8n + 8) \\ = (9n + 8n) + (18 + 8) \\ = 17n + 26\)

Answer:

8.94

Step-by-step explanation:

Given that

qs = 12cm

qr = 8cm

Required

rs

Using the pythagoras theorem

Let us assume qs is the hypotenuse side

qs² = qr² + rs²

12² = 8² + rs²

144 = 64 +rs²

rs² = 144 - 64

rs² = 80

rs = √80

rs = 8.94

Hence the value of rs is 8.94

Using PEMDAS, the result of the expression is 692

The expression is given as:

432 + 26 * 10

Using PEMDAS, we start by evaluating the products

So, we have:

432 + 26 * 10 = 432 + 260

Using PEMDAS, we then evaluate the sum

432 + 26 * 10 = 692

Hence, the result of the expression is 692

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Answer:

Sinead was the slowest driver.

Step-by-step explanation:

Answer:

sinead

Step-by-step explanation:

he just slower