HELP! This circle graph shows the results of a survey that asked people to identify their favorite type of music. What percent of people chose rock or country as their favorite type of music? 9% 35% 45% 55%
A circle graph with 5 sections. The first section is labeled Rock 27 percent. The second section is labeled Hip Hop 28 percent. The third section is labeled Jazz 19 percent. The fourth section is labeled Country 18 percent. The fifth section is labeled Other 14 percent.
The percentage that choose rock or country is 45%
From the circle graph, we have the following parameters:
Rock = 27%.
Hip Hop = 28%
Jazz = 19%.
Country = 18%
Other = 14%
The percentage that choose rock or country is then calculated as:
Rock or Country = 27% + 18%
Rock or Country = 45%
Hence, the percentage that choose rock or country is 45%
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The parent secant function is shifted 2 units down, and its period is changed to pi. Which of the following is the graph of the transformed function?
Thank you!
The total area of the rectangular prism shown is 30 sq. ft. 50 sq. ft. 62 sq. ft.
The Surface area of rectangular prism is given by:
[tex] S.A = 2(wl + hl+ hw) [/tex]
where ,
w=width=2 ft
h=height=5 ft
l=length.=3 ft
Plugging these values in the formula,
[tex] S.A = 2(2*3 + 3*5+ 5*2) [/tex]
Answer : Surface Area =62 square feet.
Which description is correct for the polynomial 4x² +3x +5?
cubic binomial
cubic trinomial
quartic monomial
quadratic trinomial
The answer is: D)quadratic trinomial
The solution is Option D.
The quadratic trinomial is given by A = 4x² + 3x + 5
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4x² + 3x + 5 be equation (1)
On simplifying the equation , we get
There are 3 terms on the equations , so it is a trinomial
And , since the variable is x² , it is a quadratic equation
Therefore , the equation A is quadratic trinomial
Hence , the equation is quadratic trinomial
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Make a box-and-whisker plot for the data. what is the median value? 56 32 48 52 51 53 48 38 35 42 40 46 54 50
Answer:
Median = 48.
Step-by-step explanation:
Given : 56 32 48 52 51 53 48 38 35 42 40 46 54 50.
To find : what is the median value.
Solution : We have given 56 32 48 52 51 53 48 38 35 42 40 46 54 50.
Step (1) : Arrange in ascending order
32 , 35 , 38 ,40 , 42 , 46 , 48, 48 ,, 50 ,51, 52 ,53 ,54 , 56.
Total numbers = 14 ,
Formula of median for even numbers : [tex](\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th} \\Mean\ of\ (\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th}\ term\ is\ the\ median[/tex].
Here , n = 14
Step (2): [tex](\frac{14}{2})^{th} ,(\frac{14}{2}+1)^{th}[/tex]
[tex](7^{th} ,(8)^{th}[/tex] terms are 48 , 48
Step (3) :Mean of [tex](7^{th} ,(8)^{th}[/tex] = [tex](\frac{48+48}{2})[/tex] .
Median = 48.
Therefore, Median = 48.
A car is traveling at a speed of 44 feet per second. What is the car’s speed in miles per hour? How many miles will the car travel in 4 hours? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers
Car travels at speed of 44 feet per second. Converted to miles per hour, it's 30 mph. In 4 hours, it travels 120 miles, using the conversion factor 1 mile = 5280 feet.
To find the car's speed in miles per hour, you can use the conversion factor:
1 mile = 5280 feet
So, first, we need to convert the car's speed from feet per second to miles per hour.
Find out how many feet the car travels in an hour, and then we'll convert that to miles:
1 hour = 60 minutes
1 minute = 60 seconds
So, in 1 hour, there are 60 minutes × 60 seconds = 3600 seconds.
Now, if the car is traveling at a speed of 44 feet per second, in 1 hour, it would travel:
44 feet/second × 3600 seconds/hour = 158,400 feet/hour
Now, convert this to miles:
158,400 feet/hour / 5280 feet/mile = 30 miles/hour
So, the car's speed is 30 miles per hour.
To find out how many miles the car will travel in 4 hours at this speed:
4 hours × 30 miles/hour = 120 miles
The car will travel 120 miles in 4 hours.
Therefore, speed of the car is 30 miles/hour and it travels 120 miles in 4 hours.
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Given △ABC where A(2, 3), B(5, 8), C(8, 3), RS is the midsegment parallel to AC, ST is the midsegment parallel to AB, and RT is the midsegment parallel to BC, determine if the statements are true or false.
Select True or False for each statemen
Find the distance between the points given.
(-3, -6) and (3, 2)
4
10
√52
Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1? 6f – 1 evaluated at f = 9 is 53. 2f + 4f + 2 – 3 evaluated at f = 9 is also 53. 6f – 1 evaluated at f = 3 is 17. what is 2f + 4f + 2 – 3 evaluated at f = 3?
Answer: 17
Step-by-step explanation:
Find the percent change from the first value to the second. 36; 63
The percent change from 36 to 63 is calculated using the formula: [(New value - Original value) / Original value] x 100. The percent change in this case is 75%.
To find the percent change from the first value to the second, use the following formula:
Percentage change = [(New value - Original value) ÷ Original value] × 100
In this case, the original value is 36 and the new value is 63. So, the change in value is 63 - 36 = 27.
Next, divide the change by the original value: 27 ÷ 36 = 0.75.
To convert this to a percentage, multiply by 100: 0.75 × 100 = 75%.
Therefore, the percent change from 36 to 63 is 75%.
What are the solutions to the equation?
5w^2+10w=40
Enter your answers in the boxes.
w =
and
Answer:
w= -4 and 2
Step-by-step explanation:
it's better to put it exactly how i wrote it to ensure you'll get it right ( -4 goes first then 2).
Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, y? Is the graph of the equation continuous or discrete?
Please Hurry, I really need help! A cylinder has a height of 6" and the circumference of its base is 16π".
Find the volume of the cylinder. (P.S There is no picture of the cylinder)
96π cubic inches
192π cubic inches
384π cubic inches
Which inequality represents all possible solutions of -7n < -14?
Emily added 5 grams of water into 20 grams of 50% salt solution.
She made ___ grams of ___% salt solution.
While in europe, if you drive 107 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 42.0 mi/gal ? assume that 1euro=1.26dollars?
Answer:
The money spend on gas in one week = 46.13 Euro
The money spend on gas in one week = $58.12
Step-by-step explanation:
1 week = 7 days
You drive 107 km per day.
Kilometer driven for 7 days = 7 *107 = 749 kilometers.
Now let's convert kilometers to miles.
1 mile = 1.60934 kilometers
We have to divide 749 km by 1.60934.
So, 749 km = 465.41 miles.
Car mileage is 42 miles / gallon.
We need to find the number of gallons of gas needed to travel 465.41 miles.
So, we have to divide 465.41 miles by 42.
The number of gallons of gasoline needed = [tex]\frac{465.41}{42} = 11.08 gallons[/tex]
cost of 1 .10 Euros per liter.
Now we have to convert 11.08 gallons to liters.
1 gallon = 3.78541 liters.
So we have to multiply 11.08 by 3.78541
11.08 gallons = 41.94 liters.
Now to find the cost, we need to multiply 41.94 liters by 1.10 Euro.
The money spend on gas in one week = 46.13 Euro
To convert the cost in dollars.
1 euro = 1.26
We need to multiply 46.13 by 1.26
The money spend on gas in one week = $58.12
A 45° sector in a circle has an area of 13.75π cm².
What is the area of the circle?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
Answer:
345.4
Step-by-step explanation:
I took the test
WZ←→− is tangent to circle O at point B.
What is the measure of ∠OBZ?
80º
90º
160º
180º
WZ is tangent to circle O at point B. The measure of [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].
Given,line wz is tangent to circle O at point B.
We have to find out the measure of [tex]\angle OBZ[/tex].
What is a tangent?A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of Tangency.
The tangent to a circle is perpendicular to the radius at the point of tangency.
Here in circle O, WZ is the tangent which touches the circle at point B,
so B is the point of tangency and the [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].
Hence the correct option is B. [tex]90^{\circ}[/tex]
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Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm, is a right triangle?
Answer:
Let first side= 5 cm
second side= 12 cm
third side = 13 cm
To prove this triangle to be right angle triangle, we need to prove Pythagoras Theorem
[tex]5^{2}[/tex]=25
[tex]12^{2}[/tex]=144
[tex]13^{2}[/tex]=169
169= 25+144
169=169
According to Pythagoras theorem ,
[tex]p^{2}[/tex]+[tex]b^{2}[/tex]=[tex]h^{2}[/tex]
since, it follows Pythagoras theorem,
Hence, it is a Right angle Triangle
An aquarium is 18 in. high, 12 in. wide, and 24 in. long. How much water can the aquarium hold? (V = lwh)
Type the domain and range values for the corresponding variables that make these relations inverses of each other. a = b = c = d = e =
Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A ? Enter your answer in the box.
Answer: The answer is 137°.
Step-by-step explanation: Given that the quadrilateral ABCD is inscribed in a circle, where measure of angle C is 43°. We are to find the measure of ∠A.
Since the quadrilateral ABCD is inscribed in a circle, so it will be a cyclic quadrilateral. Also, the sum of opposite angles of a cyclic quadrilateral is 180°.
Therefore, we have
[tex]\angle A+\angle C=180^\circ\\\\\Rightarrow \angle A+43^\circ=180^\circ\\\\\Rightarrow \angle A=180^\circ-43^\circ\\\\\Rightarrow \angle A=137^\circ.[/tex]
Thus, the required answer is 137°.
Let f(x)=3x and g(x)=x^2+5. Perform function operation g(x)/f(x). State the domain.
Helppppppp!!!!!!!!!!!!!!!!!!
The number of cents per kilometer it costs to drive a car depends on how fast you drive it. At low speeds the cost is high because the engine operates inefficiently. At high speeds the cost is high because the engine must overcome high wind resistance. At moderate speeds the cost reaches a minimum. Assume that the number of cents per kilometer varies quadratically with the number of kilometers per hour.
A) Suppose that it costs 28,21, and 16 cents per kilometer to drive at 10,20,and 30 kph,respectively. Write the particular function to represent this situation.
B)How much would it cost to drive at 150 kph?
C) Between what two speeds must you drive to keep your cost at no more than 13 cents per kilometer?
C)Is it possible to spend only 10 cents per kilometer?
D) What is the optimum speed and how much per kilometer will it cost? What part of the function represents this function?
Using the form of a quadratic equation f(x) = ax^2 + bx + c, we can derive an equation for each of three given points (10,20,30 kph and their corresponding costs). Solving these simultaneously we would get the particular equation representing the situation. We could then apply this to calculate costs at various speeds including checking if it is possible to spend only 10 cents/km, determining an optimal speed range for a 13 cents/km cost, and finding the optimal speed and cost per km.
Explanation:To write a particular function that represents this scenario, we can set up three equations using the general form of a quadratic equation, which is f(x) = ax^2 + bx + c. In this case, our x-values are the speeds (10, 20, and 30 kph) and our f(x) values are the corresponding costs (28, 21, and 16 cents/km).
Substitute these values into the equation f(x) = ax^2 + bx + c, we get three equations:
100a + 10b + c = 28
400a + 20b + c = 21
900a + 30b + c = 16
By solving the system of equations, we could find the values of a, b and c. Then we would substitute the speed into the function to calculate the cost at 150 kph, and to find the speed range for a cost of 13 cents/km and check if it is possible to spend only 10 cents/km. Finally, the optimal speed and cost per km would be represented by the minimum point of the function, which in the case of a parabola occurs at x = -b/2a.
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Find the circumference of the circle. Use pi = 3.14. A. 3 m B. 18.84 m C. 6 m D. 28.26 m
The circumference of the circle.
A. r = 3 m, C = 18.84 m
B. r = 18.84 m, C = 118,315 m
C. r = 6 m, C = 37.68 m
D. r = 28.26 m, C = 177,473 m
Further explanationCircles are two-dimensional builds which are sets of equidistant points at a point called the center point
The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle
There are terms - terms commonly used in circles:
1. The center point 2. Radius 3. Arc 4. Circumference 5. Segment 6. Chord 7. Annulus 8. Diameter 9. Disc 10. LensWhereas circumference formula
C = 2. π. r
π = 3.14
r = radius
In the question is known radius as follows:
A. r = 3 mthen
C = 2.3.14. 3
C = 18.84 m
B. r = 18.84 mC = 2.3.14. 18.84
C = 118,315 m
C. r = 6 mC = 2.3.14. 6
C = 37.68 m
D. r = 28.26 mC = 2.3.14. 28.26
C = 177,473 m
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Keywords : the circumference
, circle, center point
PLS HELP ME ANSWER THIS ASAP , I WILL GIVE EXTRA POINTS AND BRAINIEST.
Isaac is on the 4th floor of a building. If he rides an elevator up 7 floors, what floor will he be on?
What integer represents the floor Isaac is starting on?
What integer represents how many floors the elevator will rise?
What floor will the elevator stop at?
Answer:
1. 4
2. 7
3. 11
Step-by-step explanation:
Just did the assignment.
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If l = 65 cm and j = 33 cm, what is the length of k?
Answer:
The answer is 56 inches on Study Island.
Step-by-step explanation: