A tower 22 meters tall casts a shadow of 33m along the level ground. At what angle do the rays of the sun hit the ground

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.

For such more questions on home runs

https://brainly.com/question/11923973

#SPJ8

Answer:

i don't know i am sososososo sosososososososo sorry

Step-by-step explanation:

The heights of the bars of a histogram correspond to Frequency values.

A histogram is a type of graph used to show the distribution of a dataset. It is used to display the frequency of values within the data set by depicting the number of observations that fall within a set of ranges.

The heights of the bars of a histogram correspond to the frequency of values within the data set.

A histogram is used to illustrate the distribution of data within a set by showing the number of data points that fall within a specified range of values (called bins).

The height of each bar in the histogram represents the frequency of values within the bin range. A taller bar indicates that more data points fall within that range. The area of each bar is also proportional to the frequency of the values in the bin.

To know more about histogram, click on the link below:

brainly.com/question/30354484

#SPJ4

Answer:

500

Step-by-step explanation:

if one side is 125 cm on a square all the sides are equal so you should multiply 125x4 which gives you 500

Answer:

\(\boxed{\bold{\huge{\boxed{\sf Perimeter = 500\ cm}}}}\)

Step-by-step explanation:

Given that Length = 125 cm

So,

Perimeter = 4 ( 125 )

Perimeter = 500 cm

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

Read more about right triangle here:https://brainly.com/question/2920412

#SPJ1

Answer:

what circle?

I can't give you the radius if there is no circle to find the radius of.

The number of miles it takes the snail to move for an hour is 25/4 miles

how far, in miles, does it move in one hour?

Equate the ratio of number of miles to number of hours

7/50 : 7/8 = x : 1

7/50 ÷ 7/8 = x / 1

7/50 × 8/7 = x / 1

50/8 = x / 1

50 × 1 = 8 × x

50 = 8x

divide both sides by 8

x = 50/8

x = 25/4 miles

In conclusion, the snail moves 25/4 miles when traveling for an hour.

Read more on ratio:

https://brainly.com/question/2328454

#SPJ1

The probability of winning the game by flipping 4 heads in a row is 1/128.

To win the game by flipping 4 heads in a row, we must first flip 3 tails in a row. The probability of flipping tails on any given flip is 1/2. So, the probability of flipping 3 tails in a row is (1/2) x (1/2) x (1/2) = 1/8.

Once we have flipped 3 tails in a row, we then need to flip 4 heads in a row. The probability of flipping heads on any given flip is also 1/2. So, the probability of flipping 4 heads in a row is (1/2) x (1/2) x (1/2) x (1/2) = 1/16.

To find the probability of winning by flipping 4 heads in a row, we need to multiply the probabilities of flipping 3 tails in a row and then flipping 4 heads in a row: (1/8) x (1/16) = 1/128.

Learn more about probability at: brainly.com/question/30034780

#SPJ11

Answer:

The area of the circle

Step-by-step explanation:

The area of a circle is given by:

A = pi•r^2

☝️That is "Area equals pi times r squared"

Fun fact: you can use r (radius) or d (diameter) to find the circumference (distance all the way around a circle)

C = pi • d

or C = 2pi • r

But for area (all the space inside)

A = pi • r^2

You get:

Work/Explanation:

When multiplying pi by the square of a circle's radius, we get the circle's area.

This is how it looks in a formula:

\(\bf{\pi\times r^2}\)

Which can be simplified to

\(\bf{\pi r^2}\)

Which is the same as

\(\bf{A=\pi r^2}\)

Answer:

It is still 549.5

Step-by-step explanation:

Rounding to 1 decimal place is just rounding by the tenth place

So it is still 549.5

Hope this helps!

Answer:

x

Step-by-step explanation:

x is smaller than or equal to -5

x is an element of real numbers

Answer: He must sell at least 11 drawings to reach $2000.

Step-by-step explanation:

The artist sold 3 paintings in one month, the paintings is $400 each so if we were to do 400*3 it would give us 1,200.

Now if we do 11*75 (Each DRAWING costs $75) it would be $825.

$825+1,200= 2,025 will be the closest to 2,000

Answer:

A)

\(y=10.25x\)

B)

24 hours

C)

$410

Step-by-step explanation:

We are given that Kelly’s paycheck varies directly with the number of hours she works.

We know that she received $133.25 for 13 hours of work.

Part A)

The standard form for the direct variation equation is:

\(y=kx\)

Where k is the constant of variation.

Here, y is the paycheck amount and x is the number of hours Kelly worked.

We know that Kelly received $133.25 for 13 hours of work. Hence, y = 133.25 when x = 13:

\(133.25=13k\)

Solve for k:

\(k=10.25\\\)

Therefore, our constant of variation is 10.25.

We can substitute this into our equation:

\(y=10.25x\)

Therefore, our direct variation equation is:

\(y=10.25x\)

Contextually, the equation tells us that Kelly earns $10.25 per hour.

Part B)

Using the equation, we can determine the the number of hours Kelly worked to earn $246. We can substitute 246 for y:

\(246=10.25x\)

Solve for x:

\(\displaystyle x=\frac{246}{10.25}=24\)

Therefore, x = 24.

Therefore, Kelly must’ve worked 24 hours for her paycheck to be $246.

Part C)

We can use our equation. This time, we will substitute 40 for x and evaluate. Hence:

\(y=10.25(40)=\$410\)

So, Kelly will earn $410 for working 40 hours.

Answer: y=3

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

3/4=(y2-y)/(x2-x1)

3/4=(-3-y)/(-1-7)

3/4=(-3-y)/(-8)

(3/4=(-3-y)/(-8))*(-1) ==> Negate the equation to remove the negative denominator

-3/4=(-3-y)/8

8*(-3/4)=(-3-y)/8 * 8

8*(-3/4)=(-3-y)/8 * 8

-24/4=-3-y

-3-y=-6

-3+3-y=-6+3

-y=-3

y=3

Answer:

Median: 17

Mean: 16

Step-by-step explanation:

Median is the "middle number" or the average of the 2 middle numbers if the set has an even number of entries

(11+23)/2=34/2=17 which is the median

The mean is all the entries added up divided by the number of entries

(5+23+11+15)/2=64/4=16 which is the mean

Answer:

36 inches

Step-by-step explanation:

From the diagram attached,

Applying

s = 2πr∅/360

Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.

make r the subject of the equation

r = 360s/2π∅................... Equation 2

From the question,

Given: s = 72 inches, ∅ = 2 radians = 114.6°

Constant: 3.14

Substitute these values into equation 2

r = (360×72)/(114.6×3.14×2)

r = 25920/719.688

r = 36 inches

Answer:

equation

Step-by-step explanation:

Equations have equals signs, expressions do not

15x-10 is an expression

9+5 = 32 is an equation  ( it is a wrong equation)

The slope of the tangent line at (4, 54) is 45. So the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54) is y = 45x - 126.

To find the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54), we need to use calculus. First, we find the derivative of the function:

y' = 3x^2 - 3

Next, we plug in x = 4 to find the slope of the tangent line at that point:

y'(4) = 3(4)^2 - 3 = 45

So the slope of the tangent line at (4, 54) is 45. To find the equation of the line, we use the point-slope form of the equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the line. Plugging in our values, we get:

y - 54 = 45(x - 4)

Simplifying, we get:

y - 54 = 45x - 180

y = 45x - 126

So the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54) is y = 45x - 126.

To find the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54), we need to first find the derivative of the function and then use the point-slope form of a line.

1. Find the derivative of the function with respect to x:
y'(x) = d/dx (x^3 - 3x + 2) = 3x^2 - 3

2. Evaluate the derivative at the given point (4, 54) to find the slope of the tangent line:
m = y'(4) = 3(4)^2 - 3 = 3(16) - 3 = 48

3. Use the point-slope form of a line (y - y1 = m(x - x1)):
y - 54 = 48(x - 4)

4. Simplify the equation:
y - 54 = 48x - 192
y = 48x - 138

So, the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54) is y = 48x - 138.

Visit here to learn more about derivative  : https://brainly.com/question/25324584
#SPJ11

Answer:

0.55

Step-by-step explanation:

\(0.95 + 4 \times x = 3.15 \\ 4 \times x = 3.15 - 0.95 \\ 4 \times x = 2.2 \\ x = 0.55\)

To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

Learn more about dimensions here:

https://brainly.com/question/31156956

#SPJ11

The expression is already in decimal form.

0

3×10^9

The result of the each of the following set is

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

The given values are

A = {1, 3, 5, 7, 9}

B = {3, 6, 9}

C = {2, 4, 6, 8}

Then find the each given terms in set roaster notation

Union of the set, intersection of the set  and the difference of the set are the basic operations of set

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

Therefore, all the given terms has been found

Learn  more about set here

brainly.com/question/29055360

#SPJ4

Answer:

12

Step-by-step explanation:

Therefore, the sum of the first 1234 terms of this sequence is 1234.

To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.

Let's examine the pattern of the sequence:

Block 1: 2's

= 1's

= 1 (1 2)

Block 2: 2's

= 2's

= 22 (1 22 1)

Block 3: 2's

= 3's

= 222 (1 222 1)

Block 4: 2's

= 4's

= 2222 (1 2222 1)

...

We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.

Now, let's calculate the number of blocks required to reach the 1234th term:

To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.

The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).

Let's solve this equation:

(n/2)(n+1) = 1234

\(n^2 + n - 2468 = 0\)

Using the quadratic formula:

n = (-1 + √(1 + 4*2468)) / 2

n ≈ 61.76

Since n must be a whole number, we take the ceiling of n, which gives us 62.

Therefore, there are 62 blocks in the sequence.

Next, let's calculate the number of 1's in each block:

In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.

So, the number of 1's in each block is (n + 1) - n = 1.

Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.

Finally, let's calculate the sum of the first 1234 terms:

Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).

Sum of (n + 1) repeated 62 times = 62(n + 1)

= 62 * 2

= 124.

In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.

So, the sum of the first 1234 terms is 62 + 1172 = 1234.

To know more about sequence,

https://brainly.com/question/20707381

#SPJ11

A positively skewed distribution is due to an extremely large number.

A positively skewed distribution is a type of distribution in which the majority of the data values are clustered towards the left side of the distribution, with a tail extending to the right. This means that there are relatively more smaller values in the dataset than larger values. In a positively skewed distribution, the mean of the dataset is typically larger than the median, and the mode may not be a good representation of the central tendency of the data. This is because the presence of a long tail on the right-hand side of the distribution pulls the mean towards the higher values, while the median remains closer to the center of the dataset. Some common examples of positively skewed distributions include income distributions, where there are a few extremely high earners that skew the data towards the right, and test scores, where there may be a few students who perform extremely well and pull the average higher than the median.

Here,

A positively skewed distribution occurs when the tail of the distribution extends to the right, and the majority of the data is clustered towards the left side of the graph. This means that there are relatively more smaller values in the dataset than larger values. One common cause of positive skewness is the presence of extremely large values, also called outliers, in the dataset. These large values pull the mean of the dataset towards the right, resulting in the tail of the distribution stretching in that direction.

Therefore, out of the options provided, the correct answer is "an extremely large number."

To know more about positively skewed distribution,

https://brainly.com/question/14503886

#SPJ1

The equilibrium price will be $4.

In this scenario, we can determine the equilibrium price by finding the point where the quantity demanded and the quantity supplied are equal. Looking at the data provided, we can see that at a price of $4, the quantity demanded is 61 bushels and the quantity supplied is also 61 bushels.

This indicates that at a price of $4, the market is in equilibrium, with demand and supply being balanced. Therefore, the equilibrium price is $4.

For more questions like Equilibrium click the link below:

https://brainly.com/question/28583725

#SPJ11

Answer: 20.672

Step-by-step explanation: There you go