Answer:
C
Step-by-step explanation:
The area formula of a circle is A=[tex]\pi r^{2}[/tex], where r (or radius) is equal 1/2 times diameter (or d/2). So pi times (10/2)^2= 78.54 and pi times (16/2)^2=201.06. 201.06-78.54 = about 122.52, which is closest to 122.46, or C.
Given: AABC, CD 1 AB, AC = BC Area of AABC = 32 cm?. • M
The value of CD is 9.92 cm
How to find this value?Given:
∆ABC,CD ⊥ AB,AC = BC,Area of ABC = 32 cm2,m∠A = 72°Find: CD
Triangle ABC is an isosceles triangle with base AB, because AC = BC. In isosceles triangle angles adjacent to the base are congruent. So,
m<A = <mB = 72°
The sum of the measures of all interior angles is 180°, thus
m<C = 180° -72° - 72° = 36°
The area of the triangle ABC is
AABC= 1/2AC.BC.sin<C
If we expand,
AC = 10.43cm
Consider right triangle ACD. In this triangle,
sin <A = CD/AC
sin 72° = CD/10.43
therefore,
CD = 9.92 cm.
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Given: ∆ABC, CD ⊥ AB, AC = BC, Area of ABC = 32 cm2, m∠A = 72°
Find: CD
This is a sketch of y = sin x.
The vertex A is at (90°, 1).
Write down the coordinates of the vertex A of the curve with equation
a) y = sin x + 2
b) y=-sin x
Vertex A: (90°, 3) and Vertex B: (90°, -1) of the sine function.
EquationsThe vertex A of the curve y = sin x + 2 is obtained by shifting the vertex of y = sin x upward by 2 units. Since the vertex of y = sin x is (90°, 1), the vertex of y = sin x + 2 will be:
A = (90°, 1 + 2) = (90°, 3)
Therefore, the coordinates of the vertex A of the curve y = sin x + 2 are (90°, 3).
b) The curve y = -sin x is obtained by reflecting the curve y = sin x about the x-axis. Since the vertex of y = sin x is (90°, 1), the vertex of y = -sin x will be:
A = (90°, -1)
Therefore, the coordinates of the vertex A of the curve y = -sin x are
(90°, -1).
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I need help answering this
Answer: god
Step-by-step explanation: god god god god god god god god
An ice cream shop owner wants to find out what new flavor of ice cream he should sell in his shop. Which method would be the BEST way for the owner to do this?
The required, Ask each regular customer which flavor they would like to see in his shop, would be the best method. Option C is correct.
What is inductive reasoning?Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.
Here,
Asking each regular customer which flavor they would like to see in the shop would be the best method because the customers are the ones who will be buying and consuming the ice cream, so their preferences are the most important. By directly asking the customers for their opinions, the owner can get a better understanding of what flavors people are interested in, and it can also help to build a relationship with the customers by showing that their input is valued.
Option A, determining the current best-selling flavor, would only provide information about the current sales and not necessarily reflect customers' interests in new flavors. Option B, visiting other ice cream shops, could provide some ideas, but it would not necessarily reflect the local market and the preferences of the shop's specific customer base. Option D, randomly generating customers to survey, may not be representative of the actual customer base and may not provide a reliable indication of which new flavor to sell.
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help i need it
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Answer:
Step-by-step explanation:
heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Two angles form a linear pair. If one angle is
9 times the measure of the other angle, what are
the measures of each angle?
Answer:
18°, 162°
Step-by-step explanation:
Angles that form a linear pair are supplementary, so their measures add to 180°.
Let the measure of the smaller angle = x.
The larger angle measures 9x.
9x + x = 180
10x = 180
x = 18
9x = 9(18) = 162
Answer: 18°, 162°
Write an inequality that represents the graph.
PLEASE HELP (image attached)
Find the perimeter of the figure
Add up all the sides:
-x^2+2x+3x-4+2x^2+5
x^2+5x+1
The pto is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $4. There is 1 winning ticket out of the 200 tickets sold. The winter gets a prize worth $76.
Answer:
Step-by-step explanation:
The profit the PTO makes from selling raffle tickets can be calculated by subtracting the cost of the tickets from the total revenue generated from ticket sales.
Let's first calculate the total revenue:
Number of tickets sold = 200
Price per ticket = $4
Total revenue = 200 * $4 = $800
Next, let's calculate the cost of the tickets:
Number of tickets sold = 200
Price per ticket = $4
Total cost = 200 * $4 = $800
Finally, we can calculate the profit by subtracting the cost of the tickets from the total revenue:
Profit = Total revenue - Total cost
Profit = $800 - $800 = $0
So, the PTO makes no profit from selling the raffle tickets. This is because the cost of the tickets and the prize are equal, and there are no other expenses. In this scenario, the prize money of $76 is given away to the winner, so the PTO does not get to keep the money for classroom supplies.
A certain car gets 23 miles to the galloon open highway. How far can it travel on 12 gallons of gas on open highway?
a. What is the rate in this problem?
b. What unit fraction is associated with this rate?
c. Answer the question (how far it can travel on 12 gallons) using the rate.
a) The rate in this problem is 23 miles.
b) The unit fraction is associated with this rate is 23/1.
c) In 12 gallons the car will travel 276 miles.
What is Unit rate?Unit rate is the ratio of two different units, with denominator as 1.
Given:
A certain car gets 23 miles to the galloon open highway.
a) The rate in this problem is 23 miles
b) The unit fraction is associated with this rate is 23/1.
c) In 12 gallons the car will travel
23/ 1 = x/ 12
x= 23 . 12
x= 276 miles
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PLEASE HELP
A piece of copy paper has a thickness of approximately 4 × 10-3 in, and a human hair has a thickness of approximately 1 × 10-3 in. Which of the following is true?
A.
A human hair is approximately forty times thicker than a piece of copy paper.
B.
A piece of copy paper is approximately four times thicker than a human hair.
C.
A piece of copy paper is approximately forty times thicker than a human hair.
D.
A human hair is approximately four times thicker than a piece of copy paper.
The statement that is true is: B. A piece of copy paper is approximately four times thicker than a human hair.
What is a scientific notation?Scientific notation is a system of expressing extremely large figures in a standard form.
Considering the figures given in the question,
Thickness of copy paper = 4 × 10^-3 in
Thickness of human hair = 1 × 10^-3 in
So that;
Thickness of copy paper/ Thickness of human hair = 4 × 10^-3/ 1 × 10^-3
= 4 × 10^-3 * 10^3
= 4
Thus it can be concluded that the copy paper is approximately four times thicker than a human hair. Thus option B.
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I need help with this math question
The value of the variables in the parallelogram are such that:
x = 58 y = 63. 5How to find the variables ?This is a parallelogram which means that angles on the same line will add up to 180 degrees.
The value of x is therefore:
( x - 5 ) + ( 2x + 11 ) = 180
3x + 6 = 180
x = ( 180 - 6 ) / 3
x = 58
The value of y is:
2 y + ( 58 - 5 ) = 180
2 y = 180 - 53
y = 127 / 2
y = 63.5
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A chef buys 15 fresh baguettes daily for sandwiches.if by the end of the day only 11 baguettes were used how many baguettes are left to repurpose into croutons for soup and salads
Answer: 4
Step-by-step explanation: 15-11=4
The circumferrence of the circle at the center of a basketball court is 37.68 feet. Find the area of the circle at center court. Use 3.14 for pi. Please answer.
113.097 is the area (i used 3.14) pls comment for explanation :)
How do you do this? PLease HElp
Answer:
Step-by-step explanation:
All you have to do is put the values of x in the inequality.
The first, x=-45:
put that into x/-5 = -45/-5 =9 and so on.
Hope this helps :)
solve the equations to find where they intersect
y = 6x - 8
y=-3x+10
Answer:
(2,4)
Step-by-step explanation:
William is 6 years older than Camila. Nine years ago he was twice Camila’s age. How old is he now?
The solution is, he is now 21 yrs old.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
William is 6 years older than Camila.
Nine years ago he was twice Camila’s age.
let, he is now = x yrs
Camila’s age = y yrs.
so, we get,
x-y = 6 .....(1)
and, x-9 = 2(y-9) ....(2)
solving we get,
x-9 = 2(x-6-9)
or, x = 21
Hence, The solution is, he is now 21 yrs old.
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Find the value of C so that the graph of
x² + y²
12x + 14y - C = 0
passes through the point (10, 1).
Answer:
C = 235
Step-by-step explanation:
given the graph passes through (10, 1 ) then the coordinates of the point make the equation true.
substitute x = 10, y = 1 into the equation and solve for C
10² + 1² + 12(10) + 14(1) - C = 0
100 + 1 + 120 + 14 - C = 0
235 - C = 0 ( subtract 235 from both sides )
- C = - 235 ( multiply both sides by - 1 )
C = 235
Use the data display to answer 11 and 12.
11. Analyze and Persevere What does the mean
describe in the data set?
12. Analyze and Persevere What does the range
describe in the data set?
Answer:
563
Step-by-step explanation:
Coffee: The National Coffee Association reported that 64% of U.S. adults drink coffee daily. A random sample of 225 U.S. adults is selected. Round your
answers to at least four decimal places as needed.
The mean and the standard deviation are 144 and 4.3200
How to determine the mean and the standard deviationfrom the question, we have the following parameters that can be used in our computation:
Proportion, p = 64%
Sample size, n = 225
The mean is calculated as
Mean = np
Substitute the known values in the above equation, so, we have the following representation
Mean = 64% * 225
Mean = 144
The standard deviation is calculated as
SD = √Mean * (1 - p)
substitute the known values in the above equation, so, we have the following representation
SD = √144 * (1 - 64%)
Evaluate
SD = 4.3200
Hence, the mean is 144
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Complete question
Coffee: The National Coffee Association reported that 64% of U.S. adults drink coffee daily. A random sample of 225 U.S. adults is selected. Round your answers to at least four decimal places as needed.
(a) Find the mean
(b) Find the standard deviation
World population is about P = 7.68(1.0103)', with Pin billions and t in years since 2020.
(a) What is the yearly percent rate of growth of the world population? % per year
(b) What was the world population in 2020? billion people What does this model predict for the world population in 2026? Round your answer to 3 decimal places. i billion people
(c) Use part (b) to find the projected average rate of change of the world population between 2020 and 2026. Round your answer to the nearest integer. million people per year
To find the projected average rate of change of the world population between 2020 and 2026, we can take the difference in population between 2020 and 2026 and divide it by the number of years (6). This gives us 0.556 million people per year.
(a) The yearly percent rate of growth of the world population is 1.0103%.
(b) The world population in 2020 was 7.68 billion people. The model predicts that the world population in 2026 will be 8.336 billion people.
(c) The projected average rate of change of the world population between 2020 and 2026 is 0.556 million people per year.
(a) The yearly percent rate of growth of the world population can be found by taking the exponential rate of change of the equation. The rate of change is 1.0103%.
(b) To find the world population in 2020, we can plug in t=0 into the equation. This gives us P=7.68 billion people. To find the world population in 2026, we can plug in t=6 into the equation. This gives us P=8.336 billion people.
(c) To find the projected average rate of change of the world population between 2020 and 2026, we can take the difference in population between 2020 and 2026 and divide it by the number of years (6). This gives us 0.556 million people per year.
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Please help:) calculus asking about delta functions
The required solution of the given expression δ = 0.0002. as of the given conditions
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given |x - 3| < δ, we want to find a value of delta such that |5x - 15| < 0.001.
Starting with the inequality |x - 3| < δ, we can substitute x = 3 + delta or x = 3 - δ. Let's consider the case x = 3 + δ,
|5x - 15| = |5(3 + δ) - 15|
= |15 + 5δ- 15|
= |5δ|
Now, we want |5δ| to be less than 0.001. So, we can divide both sides of the inequality by 5,
|5δ|/5 < 0.001/5
|δ| < 0.001/5
Therefore, if the delta is less than 0.001/5, we have |5x - 15| < 0.001.
Similarly, if x = 3 - delta, we have:
|5x - 15| = |5(3 - δ) - 15| = |15 - 5δ - 15| = |-5δ|
|-5δ|/5 < 0.001/5
|δ| < 0.001/5
So, if δis less than 0.001/5, then |5x - 15| < 0.001 for both x = 3 + delta and x = 3 - δ.
Therefore, if |x - 3| < 0.001/5, then |5x - 15| < 0.001.
So, δ= 0.001/5 = 0.0002.
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the table below shows the number of hours students spend playing video games at home.which is a valid inference about the data
A valid inference about the data of Video Games Play Time among students is A). 50% of students spend 2- or 3 hours playing video games.
What is an inference?An inference is an evidence-based conclusion.
Inferences are reached when the necessary facts are available, and the researcher has done some calculations and reasoning using the facts.
Video Games Play Time
Hours Played Number of Students
0 2
1 4
2 6
3 8
4 5
5 or more hours 3
Total number of students 28
2 or 3 hours:Number of students = 14 (6 + 8)
14/28 - 50%
50% = 50%
4 or more hours:Number of students = 8 (5 + 3)
8/28 = 28.6%
28.6% > 10%
1 or 2 hours:Number of students = 10 (4 + 6)
10/28 = 35.7%
35.7% > 10%
3 or 4 hours:Number of students = 13 (8 + 5)
13/28 = 46.3%
46.3% ≠ 50%
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Question Completion with Answer Options:Video Games Play Time
Hours Played Number of Students
0 2
1 4
2 6
3 8
4 5
5 or more hours 3
Total number of students 28
A). 50% of students spend 2- or 3 hours playing video games.
B). Less than 10% of the students spend 4 or more hours playing video games.
C). Less than 10% of the students spend 1- or 2 hours playing video games.
D). More than 50% of the students spend 3- or 4 hours playing video games.
Find the volume to each equation
(Directions listed above questions)
The volume of the triangular prism is 30. 04 cubic yards
The volume of the cylinder is 380.38 cubic km
How to determine the valueThe formula for calculating the volume of a triangular prism is expressed as;
Volume = 1/2 bhl
Now, substitute the values
Volume = 1/2 × 3.08 × 5.84 × 3. 34
Multiply the values
Volume = 30. 04 cubic yards
The formula for the volume of a cylinder is expressed as;
Volume = πr²h
Radius = 3km
Substitute the values
Volume = 3. 14 × 9 × 13.46
Multiply
Volume = 380.38 cubic km
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In 2015, there were about 22 million teenagers (aged 13–17) in the United States. They each sent an average of 800 text messages per month. About how many text messages did all of the teenagers in the United States send each month? Express your answer using scientific notation.
The number of text messages all of the teenagers in the United States send each month is 17600 million.
What are integers?In mathematics, an integer is a grouping comprising both positive and negative numbers. Integers are similar to whole numbers in that they do not include the fractional portion. Integers are thus numbers that can be positive, negative, or zero but not fractions. All mathematical operations, including addition, subtraction, multiplication, and division, can be carried out on integers.
Given that,
Number of teenagers = 22 million
Text sent on average = 800
Total messages sent = (22)(800) = 17600 million
Hence, the number of text messages all of the teenagers in the United States send each month is 17600 million.
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An ant can travel at a constant speed of 980 inches every 5 minutes.
How far does the ant travel in 1 minute?
At this rate, how far can the ant travel in 7 minutes?
The ant can travel 196 inches in 1 minute and 1372 inches in 7 minutes.
What is cross multiplication?To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
Given that the ant can travel at a constant speed of 980 inches every 5 minutes.
Thus,
5 minutes = 980 inches
1 minute = x inches
Using cross multiplication method or Butterfly method of multiplication we have:
x = 980/5
x = 196 inches.
In 7 minutes the ant can travel:
(7)(196) = 1372 inches.
Hence, the ant can travel 196 inches in 1 minute and 1372 inches in 7 minutes.
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2. Rence and Sunil each shot 4 arrows at the target shown. Renee shot 3 arrows into A and I into B. Her score was 19. Sunil shot 2 into A and 2 into B. His score was 22. How many points were given for an arrow in B?
Using a system of equations, the number of points given for an arrow in target B is 7.
What is a system of equations?A system of equations means two or more equations solved at the same time or concurrently.
A system of equations is also described as simultaneous equations since they are solved simultaneously.
Target A Target B Total Score
Rence shots 3 1 19
Sunil shots 2 2 22
Let the points for an arrow into target A = x
Let the points for an arrow into target B = y
Equations:3x + y = 19 ... Equation 1
2x + 2y = 22 ... Equation 2
Multiply Equation 1 by 2:
6x + 2y = 38 ... Equation 3
Subtract Equation 2 from Equation 3:
6x + 2y = 38
-
2x + 2y = 22
4x = 16
x = 4
From Equation 1, substitute x = 4:
3x + y = 19
3(4) + y = 19
12 + y = 19
y = 19 -12
y = 7
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Find all complex zeros of a polynomial function. Give the exact values. List multiple zeros as necessary. f(x)=2x5+11x4+17x3+21x2+45x
The zeros of the polynomial function f(x) are:
x = -1, -3/2, -2 + i/2, -2 - i/2
To find the complex zeros of the given polynomial function f(x), we can use the fact that every polynomial with complex coefficients has at least one complex zero.
First, we can use the Rational Zeros Theorem to find any rational zeros. The possible rational zeros are of the form p/q, where p is a factor of the constant term 45 and q is a factor of the leading coefficient 2. Therefore, the possible rational zeros are ±1, ±3/2, ±5, ±9/2, ±15, and ±45/2. We can test each of these values using synthetic division or long division to see if they are actually zeros of the polynomial.
Using long division, we find that x=−1 and x=−3/2 are zeros of the polynomial. Therefore, we can factor out (x+1) and (x+3/2) from the polynomial to get:
f(x) = (x+1)(x+3/2)(2x^3+8x^2+14x+30)
Next, we can use the quadratic formula to find the zeros of the cubic factor 2x^3+8x^2+14x+30. The quadratic formula gives:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 2, b = 8, and c = 15. Plugging in these values, we get:
x = (-8 ± sqrt(8^2 - 4(2)(15))) / 4
= (-8 ± 2i) / 4
= -2 ± i/2
These are the exact values of the complex zeros of the polynomial function.
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f(x) = x4 - 7x3 + 2x2 + 40x ; x-5
The value of f(5) is 0 in the function f(x) = x⁴ - 7x³ + 2x² + 40x
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is f(x) = x⁴ - 7x³ + 2x² + 40x and given x-5 such that x=5
We need to find the value of f(5)
Plug x=5 in the above function
f(x) = x⁴ - 7x³ + 2x² + 40x
f(5) = 5⁴ - 7(5)³ + 2(5)² + 40(5)
=625-875+50+200
=0
Hence, the value of f(5) is 0 in the function f(x) = x⁴ - 7x³ + 2x² + 40x
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Complete question is below
f(x) = x⁴ - 7x³ + 2x² + 40x and given x-5 find value of f(5)
Geometry question! Please help
The values 6, 4 and 12 are the measures of PR, PQ and RI respectively.
Solving similar trianglesThe given diagram is a triangle and the expression to be used based on the theorem is expressed as:
TP/TQ = PR+3/15
3/5 = PR+3/15
5(PR +3)= 3(15)
5(PR + 3) = 45
PR + 3 = 9
PR = 9 - 3
PR = 6
For the measure of PQ
PQ^2 = 5^2 - 3^2
PQ^2 = 25 - 9
PQ = 4
Determine the measure of RI
3/PQ = TR/RI
3/4 = 9/RI
1/4 = 3/RI
RI = 12
Hence the measure of PR, PQ and RI are 6, 4, and 12 respectively
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