the Harper High School football team scored a total of 264 points for the entire 2016 football season.
If the Harper High School football team scores three touchdowns for every one field goal, it means that for every 4 scores, they get 3 x 7 points from touchdowns and 1 x 3 points from field goals, for a total of 3 x 7 + 1 x 3 = 24 points.
Therefore, we can find the total number of 4-score groups by dividing the total number of touchdowns by 3:
Number of 4-score groups = 33 touchdowns / 3 = 11
Then, we can find the total number of points scored by multiplying the number of 4-score groups by 24:
Total points scored = 11 x 24 = 264
what is number?
A number is a mathematical concept used to quantify and measure things. It is an abstract idea used to represent a quantity or value. Numbers can be represented in many ways, such as numerals, words, or symbols. The most common types of numbers are natural numbers (1, 2, 3, ...), integers (..., -2, -1, 0, 1, 2, ...), rational numbers (numbers that can be expressed as a ratio of two integers), and real numbers (numbers that include all rational and irrational numbers). Numbers are used in many areas of mathematics, as well as in science, engineering, economics, and many other fields to help describe and analyze data and phenomena.
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if the sides of a rectangle are 12 and 15 the whats the diagonal
Answer:
about 19
Step-by-step explanation:
You would use pythagorgyan therom
a^2 + b^2 = C^2
12^2 + 15^2 = C^2
144 + 225 = C^2
find the square root of 369
19.209
Which of the following sets of numbers could represent the three sides of a triangle? {6,8,14} {13,20,34} {11,14,22} {13,20,35}
The set of numbers {6, 8, 14} and the set {11, 14, 22} could represent the three sides of a triangle.
To determine whether a set of numbers could represent the sides of a triangle, we need to check if it satisfies the triangle inequality theorem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.
Let's evaluate each set of numbers:
1. {6, 8, 14}
The sum of the two smaller sides is 6 + 8 = 14, which is greater than the third side 14. Therefore, this set could represent the sides of a triangle.
2. {13, 20, 34}
The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 34. Hence, this set cannot represent the sides of a triangle.
3. {11, 14, 22}
The sum of the two smaller sides is 11 + 14 = 25, which is greater than the third side 22. Therefore, this set could represent the sides of a triangle.
4. {13, 20, 35}
The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 35. Hence, this set cannot represent the sides of a triangle.
In summary, the sets {6, 8, 14} and {11, 14, 22} could represent the three sides of a triangle.
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the length(1) of the rectangle is x2 + 2x-3 and the width(w) is 5x + 4,what is the perimeter of the rectangle?
Answer:
4×_3 I think this is your answer
19 minus twice a number is less than or equal to 10
The mathematical expression for the given statement is:
\($19 - 2x \leq 10$\)
What is expression ?In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /) that represents a value or a calculation. It can contain variables, which are placeholders for unknown or changing values, and can be simplified or evaluated using mathematical rules and operations. Examples of expressions include 3x + 5, (a + b) / 2, and √(16 - 3y).
According to given information :The mathematical expression for the given statement is:
\($19 - 2x \leq 10$\)
where x is the unknown number.
Therefore, the mathematical expression for the given statement is:
\($19 - 2x \leq 10$\)
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Which value of x satisfies the equation 1/2 (x+ 5/2)= 15/4?
Answer:
x = 5
Step-by-step explanation:
Given
\(\frac{1}{2}\) (x + \(\frac{5}{2}\) ) = \(\frac{15}{4}\)
Multiply both sides by 4 to clear the fractions
2(x + \(\frac{5}{2}\) ) = 15 ← distribute parenthesis on left side
2x + 5 = 15 ( subtract 5 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Answer:
x = 5
Step-by-step explanation:
i solved x using trial and error
1/2 (x+ 5/2)= 15/4
so i tried with 2
1/2 (2 + 5/2)= 9/4
which is too less, so i tried with 7
1/2 (7+ 5/2)= 19/4
which is too big, so i tried with 6
1/2 (6+ 5/2)= 17/4
which is nearly there and i tried with 5
1/2 (5+ 5/2)= 15/4
and it came exactly
9. The difference between two numbers is 24. Find the numbers if their
sum is 88.
Answer:
The numbers are 56 and 32
Step-by-step explanation:
Let the two numbers be x and y
x - y = 24
x = 24 + y --- ( 1 )
x + y = 88 --- ( 2 )
Substitute ( 1 ) into ( 2 ):
24 + y + y = 88
2y = 88 - 24
2y = 64
y = 32
Substitute y = 32 into ( 1 ):
x = 24 + 32
x = 56
how do I find the angles for 1,2,3, and 4?
Answer:
hope it helped have a good day mate
Passes through 0,2 and has a slope of -5/3
Answer:
y = - 1 2/3x + 2
Step-by-step explanation:
Step 1:
y = mx + b Slope intercept Form
Step 2:
y = - 5/3x + b Input Slope
Step 3:
2 = - 5/3 ( 0 ) + b Input x and y
Step 4:
2 = b Multiply
Answer:
y = - 1 2/3x + 2 Input b
Hope This Helps :)
What is the measure of x?
Answer:
65⁰
Step-by-step explanation:
Take a look for the pict
Or
x+50⁰=115⁰
x= 115⁰-50⁰
x=65⁰
Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^x and the line x = ln 8 about the line x = ln 8. Please show me in two ways
The volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes is V = π∫ln 8eˣdx,
The volume of a solid generated by revolving a region about a line is calculated by using the method of slices.
In this case, we have a region in the first quadrant bounded by the coordinate axes, the curve y = eˣ and the line x = ln 8, which is being revolved about the line x = ln 8.
To find the volume of this solid, we need to take slices perpendicular to the line of rotation and calculate the area of each slice.
The volume can then be calculated by multiplying the area of each slice by its corresponding distance from the line of rotation and summing up the results.
The volume of this solid is calculated by the equation
=> V = π∫ln 8eˣdx,
where V is the volume of the solid, x is the distance from the line of rotation, and π is the constant pi
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I NEED HELP ASAP!!!
Which of the following expressions represents “the difference between a number and eleven”?
11 – n
-11 n
n + 11
n – 11
All of the following represent the same concept except _____.
a number minus five
five more than a number
the sum of a number and five
a number increased by five
thank you!!
The expressions represents “the difference between a number and eleven” is (n - 11) while, for the second case, the one statement which does not represent the same concept, among the four options provided is "a number minus five".
As per question statement, we are provided with two separate questions, first one requiring us to determine the expressions represents “the difference between a number and eleven”, while the second one requiring us to determine the one statement which does not represent the same concept, among the four options provided.
Considering the first case, the statement “the difference between a number and eleven”, considering the number to be "n" can be mathematically expressed as \((n - 11)\\\). Hence, the correct answer is \((n - 11)\\\\\).
Coming to the second case, considering the number to be "n",
Option (A) is "a number minus five" which when mathematically stated becomes \((n-5)\)
Option (B) is "five more than a number" which when mathematically stated becomes \((n+5)\)
Option (C) is "the sum of a number and five" which when mathematically stated becomes \((n+5)\)
And, option (D) is "a number increased by five" which when mathematically stated becomes \((n+5)\).
That is, Option (B), (C) and (D) all belong to the same concept. Hence, the one statement which does not represent the same concept, among the four options provided is "a number minus five".
Expressions: Expressions in mathematics, are mathematical statements that have two or more terms, consisting of numbers or variables, or both, and being connected by operators in between.To learn more about Expressions, click on the link below.
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given that log 2= 0.69,log 3= 1.20 and log 7= 1.80. find log 10.5 without using tables.
Answer:
2.31
Step-by-step explanation:
log 10.5 = log 212
= log 21 - log 2
= log(3 x 7) - log 2
= log 3 + log 7 - log 2
= 1.10 + 1.90 - 0.69
= 3 - 0.69
= 2.31
Pls help I’m stuck with this problem
Answer:
463×10³
463×1000
=0.463
A rectangular paperboard measuring 20in long and 16in wide has a semicircle cut out of it, as shown below.Find the area of the paperboard that remains. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answer: 219.52 inch^2
Step-by-step explanation:
Given the dimensions of rectangular papaerboard:
Length = 20inches
Width = 16inches
Area of rectangle = Length × width
Area of rectangle = 20 × 16 = 320 in^2
Area of a circle = pi*r^2
Therefore, area of semicircle = (pi*r^2) / 2
Diameter of circle = width of rectangle = 16 inches
Radius = diameter / 2 = 16 /2 = 8inches
Therefore, area of semicircle = (pi*8^2) / 2
= (3.14 × 64) / 2
= 200.96 / 2
= 100.48 inch^2
Therefore, area of paperboard left :
Area of rectangle - area of semicircle
320 - 100.48
= 219.52 inch^2
Which of the following points is located in Quadrant IV?
(-5,2)
(-6, - 7)
(1, - 4)
(4,3)
Answer:
(1,-4) is in quadrant 4
Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4) = .10. a. Draw the corresponding probability histogram. b. What is the probability that at least two students show up? More than two students show up? c. What is the probability that between one and three students, inclusive, show up?
d. What is the probability that the professor shows up?
a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.
b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25
c) The probability that between one and three students show up = 0.7
d) The probability that the professor shows up = 0.20
First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.
x p(x)
0 0.20
1 0.25
2 0.30
3 0.15
4 0.10
The probability histogram of this data is shown below.
The probability that at least two students show up would be,
P(x ≥ 2) = p(2) + p(3) + p(4)
P(x ≥ 2) = 0.30 + 0.15 + 0.10
P(x ≥ 2) = 0.55
Now the probbability that more than two students show up:
P(x > 2) = p(3) + p(4)
P(x > 2) = 0.15 + 0.10
P(x > 2) = 0.25
The probability that between one and three students show up would be:
P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)
P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15
P(1 ≤ x ≤ 3) = 0.7
And the probability that the professor shows up would be: p = 0.20
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Assuming that someone is asked to write a code (i.e., program) for nonlinear problem using least square adjustment technique, what would be your advice for this person to terminate the program?
This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.
When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.
One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.
Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.
Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.
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Which of the following best describes ethics?
it is a set of thoughts that are made about kinds of individuals
or their manners of conducting activities
it is a set of values that define r
Answer:
the second
Step-by-step explanation:
refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice
i have 100 beads 38 are purple 62 are blue what's the probability i get purple give the answer as a decimal
The probability of drawing a purple bead from 100 beads (38 purple, 62 blue) is 0.38 or 38%
To determine the probability of drawing a purple bead, we need to consider the ratio of the number of purple beads to the total number of beads. In this scenario, out of the 100 beads available, 38 of them are purple.
To express this probability as a decimal, we divide the number of purple beads (38) by the total number of beads (100):
Probability of drawing a purple bead = 38 / 100 = 0.38.
This means that the probability of randomly selecting a purple bead from the given collection is 0.38 or 38%. In other words, for every 100 bead selections, we can expect approximately 38 of them to be purple.
To visualize this, imagine a large jar containing the 100 beads. If you were to blindly pick one bead from the jar, the likelihood of it being purple would be 38 out of 100 or 0.38.
It's important to note that this probability assumes that the selection process is random and that each bead has an equal chance of being chosen. The probability may change if the number of beads or the colors within the jar are altered.
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"Function 1 3 gx=-x-4 g(x) 2
Use the given interactions to edit the selected curve. -12- Cancel Save $² UP 1: Re XW Score: 83.33%,"
The new function is g(x) = x - 15.The graph of the function is given below:Therefore, the edited curve of the given function is g(x) = x - 15.
The given function is 1.3 gx=-x-4 g(x) 2. Use the given interactions to edit the selected curve. The given interactions are -12- Cancel Save $² UP 1: Re XW Score: 83.33%,We have to use these interactions to edit the selected curve. To edit the given curve, we use transformations, which can change the graph of the function. The transformations of the given function are explained below:Vertical transformation:We add or subtract the constant value of the function to change the y-intercept of the graph. If we add any constant value to the function, the graph moves up, and if we subtract any constant value from the function, the graph moves down. The given function is g(x) = -x - 4. The y-intercept of the function is -4. We can change the y-intercept by adding or subtracting the constant value of the function. The given interaction -12- moves the graph down 12 units. Therefore, the new function is g(x) = -x - 4 - 12 = -x - 16.Horizontal transformation:The graph of the function can be shifted left or right by adding or subtracting a constant to the input value.
If we add any constant value to the function, the graph moves left, and if we subtract any constant value from the function, the graph moves right. The given function is g(x) = -x - 4. The graph of the function can be shifted by using the input value. For example, if we want to move the graph 3 units to the right, we replace x with (x - 3). Then the new function becomes g(x - 3) = -(x - 3) - 4 = -x + 1.The given interaction UP 1 moves the graph up 1 unit.Therefore, the new function is g(x) = -x - 16 + 1 = -x - 15.The given interaction Re XW reflects the graph of the function across the y-axis.Therefore, the new function is g(x) = x - 15.The graph of the function is given below:Therefore, the edited curve of the given function is g(x) = x - 15.
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Find the distance between each pair of points (8,5) ,(-1,3)
Answer:
d=9.220
Step-by-step explanation:
Answer:
sqrt(85)
Step-by-step explanation:
Use the distance formula.
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
d = sqrt[(-1 - 8)^2 + (3 - 5)^2]
d = sqrt[(-9)^2 + (-2)^2]
d = sqrt[81 + 4]
d = sqrt(85)
Answer: sqrt(85)
For alternating electric current. a) how many times does it oscillate in 0.05s b) what are the maximum and minimum voltage for this outlet? is the voltage always equal to 115 volts?
The maximum and minimum voltage for an outlet can vary, but in standard residential outlets in the US, the voltage is typically 115 volts.
For alternating electric current, the number of oscillations per second is determined by its frequency. The frequency is measured in hertz (Hz), which represents the number of complete oscillations per second.
a) In 0.05 seconds, the number of oscillations can be calculated by dividing the time (0.05s) by the period (T), which is the inverse of the frequency. The formula is: Number of oscillations = Time / Period. However, the period can also be expressed as 1/frequency. So, the formula becomes:
Number of oscillations = Time x Frequency.
Given that the time is 0.05 seconds, you need to know the frequency of the alternating current to determine the number of oscillations.
b) The maximum and minimum voltage for an outlet depend on the type of alternating current.
In the case of standard residential outlets in the United States, the voltage is 115 volts.
However, it's important to note that the voltage is not always equal to 115 volts.
In summary, to determine the number of oscillations in 0.05 seconds, you need to know the frequency of the alternating current.
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you need a shelf for a small space in your house, so you make a measurement with your meter stick and head to the store. once there, you find that the dimension of the shelves you want is given in cm. if your space measured 0.5 m, and the shelves at the store measure 130 cm, answer the following questions:
The shelf you want to purchase measures 1.3 meters
Using the required conversion metrics, the width of the shelf at the stick 0.3 meters and will not fit in the house.
Given the Parameters :
Measured width = 0.5 m
Store width = 130 cm
Using the appropriate metric conversion values :
100 cm = 1 m
Converting the store measurement into meters :
130 cm ÷ 100 = 1.3 meters
Therefore, the measured width and the width of the shelf at the store are different, then the shelf will not fit in.
Hence the answer is, the shelf you want to purchase measures 1.3 meters
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algebra 2 please help fast!!
Answer:
The answer is option D
What the answer to this
Step-by-step explanation:
b + 16 = 20
b = 20 - 16
b = 4%
i am sorry if this is wrong :/
8 * 2⌃2x + 4 * 2⌃x * 2 = 1 + 2⌃x
Find x(need all the steps)
The value of x will be;
⇒ x = - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 8 × 2²ˣ + 4 × 2ˣ × 2 = 1 + 2ˣ
Now,
Since, The expression is,
⇒ 8 × 2²ˣ + 4 × 2ˣ × 2 = 1 + 2ˣ
Solve for x as;
⇒ 8 × 2²ˣ + 8 × 2ˣ = 1 + 2ˣ
⇒ 8 × 2ˣ (2ˣ + 1) = 1 + 2ˣ
⇒ 8 × 2ˣ = (1 + 2ˣ) / (1 + 2ˣ)
⇒ 8 × 2ˣ = 1
⇒ 2ˣ = 1/8
⇒ 2ˣ = 2⁻³
By comparing, we get;
⇒ x = - 3
Thus, The value of x = - 3
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(3.9×10^6)+(4.1×10^7
Answer: 44900000
Step-by-step explanation:
help me plz i’m posting rn
Answer:
y = 7
Step-by-step explanation:
3y+9 = 2y+16, subtract 9 from both sides, 3y = 2y + 7, then subtract 2y from both sides, y = 7, and that's the answer
Answer:
7
Step-by-step explanation:
You have monthly data on the price of bitcoin. You are considering buying $1,000 worth of bitcoins and want to estimate how much your investment will be worth in the future. (Note that you can buy fractions of a bitcoin Based on this data sample, what is the average monthly growth rate in the price of bitcoin? What is the standard deviation of the monthly growth observations?
Based on the monthly data on the price of bitcoin, the average monthly growth rate can be calculated by taking the difference in price from the previous month and dividing it by the previous month's price. Using the average monthly growth rate, you can estimate the future value of your $1,000 Bitcoin investment.
Once this is done for each month, the resulting growth rates can be averaged to find the average monthly growth rate. As for the standard deviation of the monthly growth observations, this can be calculated using a statistical software or a calculator that has the capability to perform statistical calculations. Without the actual data, it is not possible to provide an exact answer to the question. However, it is important to note that investing in bitcoin can be volatile and unpredictable, so it is important to do thorough research and understand the potential risks before making any investment decisions. To estimate the average monthly growth rate and standard deviation of your Bitcoin investment, follow these steps:
1. Compile the monthly price data for Bitcoin.
2. Calculate the monthly growth rate for each month by using the formula: (Current Month Price - Previous Month Price) / Previous Month Price.
3. Add up all the monthly growth rates and divide the sum by the number of months in your data sample. This will give you the average monthly growth rate for Bitcoin.
4. To calculate the standard deviation, first find the variance. Subtract the average monthly growth rate from each individual growth rate, square the result, and find the average of these squared differences.
5. Finally, take the square root of the variance to get the standard deviation.
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