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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Use the Corresponding Angles diagram to answer the question.
3. Which angle corresponds to <7?
<1
<3
<4
<6
Answer:
\( angle \: 1 \: is \: corresponding \: to \: angle \: 7\)
Answer:
Angle 3 is corresponding to angle 7.
Step-by-step explanation:
What type of number is -2343−2343minus, 2343?
Answer:
-4686 it would be a negative whole number
Step-by-step explanation:
-2343 - 2343 would be -4686
if it was -2343 - -2343 the answer would be 0
whats the common denominator of 3/4 and 5/6
Answer:
60 Hope this helps you :)
Step-by-step explanation:
help pleassee!!!!!!!
Answer:
The correct answer is 5.672 x 10^3
Step-by-step explanation:
change the exponent for 3.28 x 10^2, and you get 0.328 x 10^3, and then subtract normally, which gets you 5.672 x 10^3
ssuming she worked at a constant rate, how many rows had been completed before elena started working? 12 14 15 19
The intercept value gives the required answer, Hence, the number of rows that had been completed is 12.
Using the linear equation relation , we could compare two equations from the graph as follows :
y = bx + c
b = slope ; c = intercept27 = 30b + c ___ (1)
22 = 20b + c ___ (2)
subtract (1) from (2) :
5 = 10b
b = 0.5
substitute b = 0.5 into (1)
27 = 30(0.5) + c
27 = 15 + c
c = 27 - 15
c = 12
Therefore, the number of rows that has been completed is 12.
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Planet A has a mass of 5*10^26 kilograms. Planet B has a mass of 2*10^28 kilograms. Choose which planet has the larger mass. Then fill in the blank with a number written in standard notation.
The planet that has the larger mass is the planet B and the measurements in standard forms are
Planet A = 500000000000000000000000000 kilograms Planet B = 20000000000000000000000000000 kilogramsHow to determine the planet that has the larger massFrom the question, we have the following parameters that can be used in our computation:
Planet A = 5*10^26 kilograms
Planet B = 2*10^28 kilograms
Rewrite the masses properly
So, we have
Planet A = 5*10²⁶ kilograms
Planet B = 2*10²⁸ kilograms
The exponent 28 is greater than the exponent 26
This means that
2*10²⁸ is greater than 5*10²⁶
So, we have
Planet B has the larger mass
When the measurements are expressed in standard forms, we have
Planet A = 500000000000000000000000000 kilograms
Planet B = 20000000000000000000000000000 kilograms
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help me pls !!!!!!!!!!
Answer: What do u need help with?
Step-by-step explanation:
Find the ratio (red to blue) of the perimeter
red is 11 and blue is 6
Answer:
this the answer4.11.5.5.8.
Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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A chart that contains a continuous line that represents the frequencies of scores within a class interval is also known as a ______.
a. histogram
b. standard deviation
c. frequency polygon
d. frequency distribution
The correct answer is c. frequency polygon.
A chart that contains a continuous line representing the frequencies of scores within a class interval is known as a frequency polygon. Frequency polygons are graphical representations of frequency distributions, which show the number of observations or data points falling within each interval or class.
A histogram, option a, is a graphical representation of data where the data is divided into intervals and displayed as bars. It does not include a continuous line.
Option b, standard deviation, is a measure of the dispersion or spread of a dataset, and it is not directly related to the representation of frequencies.
Option d, frequency distribution, refers to a tabular representation of data that shows the number of observations or data points falling within each interval or class, but it does not include a continuous line plot.
In summary, a frequency polygon is the chart that contains a continuous line representing the frequencies of scores within a class interval.
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Which of the points (s, t) is not one of the vertices of theshaded region of the set of inequalities shown below?Ss 20 -0.5tsa 12-tSs 24-t.S20t20A. (0,12)B. (12,0)O C. (16,8)D. (24,0)
we have the inequalities
\(\begin{gathered} s\leq20-0.5t \\ s\ge12-t \\ s\leq24-t \\ s\ge0 \\ t\leq0 \\ \end{gathered}\)using a graphing tool
see the attached figure
(please wait a minute to draw the system)
answer is option CRIGHT ANSWER GETS 15 POINTS
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.
A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x.
Write and solve an equation to determine the measure of angle x. (5 points)
Your answer:
Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.
What is the vertical angles theorem?In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.
Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;
60° + 70° + y = 180°
130° + y = 180°
y = 180° - 130°
y = 50°
Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.
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Please help me in this. I need to turn this assignment in!
Answer:
X-----Independent Variable
Y-----Dependent Variable
Dependent Variable-----A variable whose value determines the value of the output
Independent Variable-----A variable whose value determines the value of the input
Input-----The value substituted into an expression or function
Output----The value that results from the substitution of a given input into an expression or function
13. A 2350-kg granite tombstone absorbs 2. 8 x 10^7 J of energy from the 20 p
sun to change its temperature from 5 degree C at night to 20 degree C
during an autumn day. Determine the specific heat of granite from this
information. *
The specific heat of granite is 634.92 J/(kg°C).
The specific heat reflects the ability of a substance to store or release thermal energy. Substances with higher specific heat values require more energy to change their temperature compared to substances with lower specific heat values.
This property is important in various fields, such as thermodynamics, engineering, and chemistry, as it helps determine the amount of heat needed or released in processes involving different materials.
To determine the specific heat of granite, we can use the equation: Q = mcΔT , where Q is the energy absorbed, m is the mass of the object, c is the specific heat, and ΔT is the change in temperature.
In this case, we are given:
Q = 2.8 x 10^7 J
m = 2350 kg
ΔT = 20°C - 5°C = 15°C
Rearranging the equation, we can solve for c: c = Q / (mΔT)
Plugging in the given values, we have: c = (2.8 x 10^7 J) / (2350 kg * 15°C)
Calculating this expression, we find: c ≈ 634.92 J/(kg°C)
Therefore, the specific heat of granite, based on the given information, is approximately 634.92 J/(kg°C).
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The table gives values of a continuous function. Use the midpoint rule (n=3) to estimate the average value of f on [10,40]
The midpoint of subintervals to approximate the area under the curve. The average value of f on [10,40] is approximately \($\frac{1}{30}(39.9) = 1.33$\). Thus, the average value of f on [10,40] is 1.33.
The midpoint rule is one of the numerical integration techniques that can be used to find the average value of a continuous function. It utilizes the midpoint of subintervals to approximate the area under the curve. The formula for the midpoint rule is as follows\(:$$\int_a^b f(x) \approx \frac{b-a}{n}\sum_{i=1}^n f\left(\frac{x_{i-\frac{1}{2}}+x_{i+\frac{1}{2}}}{2}\right)$$\)where n is the number of subintervals, a and b are the limits of integration, and \($x_i$\) is the ith endpoint of the subinterval.
To apply the midpoint rule, we need to divide the interval [10,40] into three subintervals of equal width: [10,20], [20,30], and [30,40].
The corresponding midpoints of these subintervals are 15, 25, and 35.
The formula for the midpoint rule then becomes:\($$\int_{10}^{40} f(x) \approx \frac{40-10}{3}\left[f(15) + f(25) + f(35)\right]$$\)
Plugging in the values from the table gives:\($$\int_{10}^{40} f(x) \approx \frac{30}{3}\left[3.6 + 3.8 + 4.3\right] = 39.9$$\)
Therefore, the average value of f on [10,40] is approximately \($\frac{1}{30}(39.9) = 1.33$\). Thus, the average value of f on [10,40] is 1.33.
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Please help! Worth 60 points for a super rapid reply right now-MN is the midsegment of Trapezoid ABCD. What is the length of AB?
Answer:
c) 27.9
Step-by-step explanation:
Since MN is the midsegment ,
MN = (AB + CD)/2
21.1 = (AB + 14.3)/2
21.1*2 = AB + 14.2
AB = 42.2 - 14.2
AB = 27.9
Answer:
C
Step-by-step explanation:
the midsegment is equal to half the sum of the parallel bases, that is
\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )
\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )
AB + 14.3 = 42.2 ( subtract 14.3 from both sides )
AB = 27.9 cm
A number that represents a property of the sample (like mean or proportion) is:____.
A number that represents the property of the sample is the statistics.
StatisticsStatistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.
'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.
Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.
Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.
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For the following relation, provide the domain and range.
Domain: [A, B] Range: [C, D]
A=
B=
C=
D=
Answer:
Domain: [-4,2]
Range: [-3,3]
Step-by-step explanation:
A = -4
B = 2
C = -3
D = 3
PLZZZZZZZZZ HELP!!!
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2
the answer choice is B.
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 22 feet and a height of 18 feet. Container B has a diameter of 24 feet and a height of 13 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.
To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?
The percent of Container A that is full after the pumping is complete is calculated using volume formula is 14.04%.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
It is given that -
The radius of container A = 11 feet
The height of container A = 18 feet
The radius of container B = 12 feet
The height of container B = 13 feet
It is also said that container A is full of water and the water is pumped into container B Until container B is completely full.
So after pumping is complete -
The volume of water in container B = Volume of container A
= πr²h
= π × (11)² × 18
= 3.14 × 2178
= 6,838.92 ft²
Total volume of container B = πr²h
= π × (12)² × 13
= 3.14 × 1872
= 5,878.08 ft²
We have to find the empty portion of the container A, which is given by -
Total volume of container B - Volume of water available in container B
= 6,838.92 - 5,878.08
= 960.84 ft²
Therefore, the value is obtained as 960.84 ft².
The percentage value can be obtained as -
= (Volume of water left in container A / Volume of container) × 100
= 960.84 / 6,838.92 × 100
= 14.04
Therefore, the percentage value is 14.04%.
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Given an integer representing a 10-digit phone number, output the area code, prefix, and line number using the format (800) 555-1212.
Here we have a program written in C++ language. Each // symbol is a relative comment explaining the reason for each command line (and is not included during the program execution).
The Program:
#include <iostream>
//c++ build in library
using namespace std;
//main code body starts here
int main()
{
//declare variable to store phone numbers,its area code, prefix and line number.
long pnumber; //declare long variable
int ac, prefix, lnumber;
//declare integer variables, where ac: Area Code and lnumber is the Line Number
cout<<"Enter a 10-digit Phone Number: "<<endl;
//cout command prints on screen the desired message
cin>>pnumber;
//cin command enables the user to interact with the programm and enter information manually
//main body to obtain the desired output starts below
//each 'division' is used to allocate the correct value at the correct
//since prefix is used to get the desired output of ( ) -
ac = pnumber/10000000;
prefix = (pnumber/10000)%1000;
lnumber = pnumber%10000;
//main body ends here
cout<<"Based on your 10-digit number"<<endl;
cout<<"below you have (AreaCode), Prefix, and - line number "<<endl;
cout<<"("<<ac<<")"<<""<<prefix<<"-"<<lnumber<<endl;
//Prints on screen the desired output of the long 10 digit Number
return 0; //ends program
}
-------------------------------------------------------------------------------------------------------
The Output Sample:
Enter a 10-digit Phone Number:
8019004673
Based on your 10-digit number
below you have (Area Code), Prefix, and - line number
(801) 900-4673
....Programm finished with exit code 0
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During a thunderstorm, Naazneen used a wind speed gauge to measure the wind gusts. The wind gusts, in miles per hour, were 17, 22, 8, 13, 19, 36, and 14. Identify any outliers in the data set.
Multiple choice question.
A) 8
B) 13.5
C) 36
D) none
None of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set. Therefore, the correct answer is D) none.
To identify any outliers in the data set, we can use a common method called the 1.5 interquartile range (IQR) rule.
The IQR is a measure of statistical dispersion and represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. According to the 1.5 IQR rule, any value below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR can be considered an outlier.
To determine if there are any outliers in the given data set of wind gusts (17, 22, 8, 13, 19, 36, and 14), let's follow these steps:
Sort the data set in ascending order: 8, 13, 14, 17, 19, 22, 36.
Calculate the first quartile (Q1) and the third quartile (Q3).
Q1: The median of the lower half of the data set (8, 13, 14) is 13.
Q3: The median of the upper half of the data set (19, 22, 36) is 22.
Calculate the interquartile range (IQR).
IQR = Q3 - Q1 = 22 - 13 = 9.
Step 4: Identify any outliers using the 1.5 IQR rule.
Values below Q1 - 1.5 × IQR = 13 - 1.5 × 9 = 13 - 13.5 = -0.5.
Values above Q3 + 1.5 × IQR = 22 + 1.5 × 9 = 22 + 13.5 = 35.5.
Since none of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set.
Therefore, the correct answer is D) none.
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A table of values of a linear function is shown below. Find the output when the input is n
These triangles are similar. I need to know what x is.
The value of x as per the similarity of triangles is = 7.1.
What is similarity of triangles?If two triangles' sides have the same ratio or proportion and their angles are the same (corresponding angles), then the triangles will resemble one another (corresponding sides).
Similar triangles may have varied side lengths when compared individually, but they must all have the same ratio of their side lengths and equal angles.
Now in the figure, the triangles are similar.
So, sides of the triangles will be proportional to each other.
Now, 9/15 = 4.3/x
⇒ x = (4.3 × 15)/ 9
⇒ x = 7.1
Therefore, the value of x as per the similarity of triangles is = 7.1.
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Tony Romano is self employed. His annual adjusted earnings are $58,238.74. How much does he need to pay for Medicare tax (2.9%) ?
Since Tony is self-employed, he will have to pay all of the tax himself.
Take his adjusted earnings times the tax rate
58238.74 * 2.9%
58238.74 * .029
1688.92346
Rounding to the nearest cent
1688.92
PLEASE HELP
What is the value of y in this equilateral triangle?
Answer:
5y-15=180
5y=180+15
5y=195
5y÷5y=195÷5
y=39
Help I have 30 in Math
What is the sum of the polynomials? (–x2 9) (–3x2 – 11x 4) –4x2 – 2x 4 –4x2 – 11x 13 2x2 20x 4 2x2 11x 5
The sum of the polynomials x^2 + 9 and -3x^2 - 11x^4 - 4 is - 11x^4 -2x^2 + 5
How to determine the sum?The polynomials are given as:
x^2 + 9
-3x^2 - 11x^4 - 4
The sum is represented as:
x^2 + 9 -3x^2 - 11x^4 - 4
Collect like terms
- 11x^4 -3x^2 + x^2 + 9 - 4
Evaluate the sum
- 11x^4 -2x^2 + 5
Hence, the sum of the polynomials is - 11x^4 -2x^2 + 5
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7 < 3 - 2x I need help with getting the answer
Answer:
x < - 2
Step-by-step explanation:
7 < 3 - 2x ( add 2x to both sides )
2x + 7 < 3 ( subtract 7 from both sides )
2x < - 4 ( divide both sides by 2 )
x < - 2
Which of the following will you construct in this lesson?
parallelogram
hexagon
pentagon
octagon
rectangle
Answer:
parallelogram
hexagon
octagon
rectangle
Step-by-step explanation:
Answer:
parallelogram
hexagon
octagon
rectangle