Answer:
y = 0.5 cosine (4 (x - pi/2)) - 2
Step-by-step explanation:
Taking the general form:
y = A cosine (Bx - Cπ)) + D
In the following case. the constants are:
y = 0.5 cosine (4x - 2π)) - 2
A: 0.5
B: 4
C: 2π
D: -2
The range of this function is:
range = [-|A|+D, |A|+D]
range = [-0.5-2, 0.5-2]
range = [-2.5, -1.5]
Which coincides with "It has a maximum at negative 1.5 and a minimum at negative 2.5"
At x = 0, the function value is:
y = 0.5 cosine (4(0) - 2π)) - 2
y = 0.5 - 2 = -1.5
As indicated in "a curve crosses the y-axis at y = negative 1.5"
The period of the function is:
period: 2π/B
period = 2π/4 = π/2 or 2 cycles at π
as described in "It goes through 2 cycles at pi."
Answer:
B) y = 0.5 cosine (4 (x minus StartFraction pi Over 2 EndFraction)) minus 2
Explanation:
Hope you have a great day!
A 4-pound bag of apples costs $5.00. Based on that rate, which equation shows how y, the cost in dollars, is realted to x, the weight in pounds?
y = x - 1
y = 1.25x
y = 0.8x
y = x + 1
y = 1.25 x equation shows the correct relation of x
What is linear graph?
Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.
According to the question,
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = k. x
k is constant of proportion
Four pounds of apples cost $5
5 = 4. k
k = 5/4 = 1.25
As it should be, k is a constant equal to 1.25
y = 1.25 x for 4 pounds of apples
Hence, y = 1.25 x equation shows the correct relation of x
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What is the measurement for the diameter of a circle with a circumference of 88 ft?
Use 3.14 for Pi. Round your answer to the nearest foot.
Answer: 617 ft.
Step-by-step explanation: So first, the formula is A=C²/ 4π, knowing this, let's just plug in our numbers
A = C² / 4 · π
A = 88² / 4 · 3.14
A = 7744 / 4 · 3.14
A = 7744 / 12.56
A = 7744 / 12.56
A = 616.56
A ≈ 617
Hope this helps :)
Seven different models cars, from which there are three blue and four red, are to be parked in a row. Find how many different arrangements there are if the first, the last, and the car in the middle of the queue should be blue.
Answer ASAP for brainliest answer!
Answer:144 ways
Step-by-step explanation:
Given
There are 7 different models cars
out of which three are blue and 4 are red
If the first middle and last car in Queue is blue car therefore the position of blue cars is fixed
But these 3 cars can be arranged in 3! ways
Remaining 4 cars can be arranged in remaining 4 spots in 4! ways
Therefore total no of ways are
[tex]=3!\times 4![/tex]
[tex]=6\times 24=144\ ways[/tex]
Find the equivalent expression.
2^2
Answer:
4
Step-by-step explanation:
2 times by itself would make 4
Hope this helps
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Which of the following is an example of a function
whose graph in the xy-plane has no x-intercepts?
A) A linear function whose rate of change is not
B) A quadratic function with real menos
© A quadratic function with no real xeros
D) A cubic polynomial with at least one real zero
Answer: Option C.
Step-by-step explanation:
A function goes trough the x-axis when f(x) = 0 for some value of x.
For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:
a*x^2 + b*x + c = 0
are complex roots, this means that for the function:
f(x) = y = a*x^2 + b*x + c
there is not a real number x such f(x) = 0
So the correct option is C.
The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
What is x-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.
The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,
[tex]y=f(x)[/tex]
Here, x is the roots of the function.
For no value of x-intercepts, the function become,
[tex]y=0[/tex]
[tex]f(x)=0[/tex]
Here, the zeros and roots are the same, where function become equal to zero.
Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
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The dot plot shows the number of particpants in each age group in a science fair. 11 12 15 16 17
Complete Question
The dot plot shows the number of participants in each age group in a science fair. Which of the following statements is not supported by the dot plot?
A The range is 6.
B The mean of the ages is about 14.4.
C The mode of the ages is 13.
D The median of the ages is 15.
Answer:
(C) The mode of the ages is 13.
Step-by-step explanation:
The given dot plot is attached.
From the dot plot, there is no participant aged 13. Therefore, the mode of the ages cannot be 13. The mode is actually 15.
Therefore, Option C is not supported by the dot plot.
Which situation is most likely to have a constant rate of change?
A. The total amount paid for gas compared with the number of
gallons purchased.
B. Distance a delivery truck travels compared with the number of
deliveries made
) C. Number of flowers in a flower bed compared with the area planted
D. Points scored in a basketball game compared with the number of
quarters played
Answer:a
Step-by-step explanation:
In Circle C, EA and FB are diameters. Identify the following Two major arcs.
Answer:
See explanation
Step-by-step explanation:
Two major arcs:
[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]
Two minor arcs:
[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]
What is the perimeter of this rectangle? Will mark brainliest.
Answer:It's C, 425 ft.
Step-by-step explanation:
You multiply 17 ft. by 25 ft.
Answer:
84 feet
Step-by-step explanation:
there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet
to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.
therefore 84 feet is your answer.
round 37358 to the nearest hundreds
Answer:
37400
Step-by-step explanation:
just cause.
Answer:
37400
Step-by-step explanation:
Find the hundreds place. 37358Look at the number before it. 37358If the number is 5 or more, round the hundreds place up one.if the number is 4 or less, keep is the same.Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet and a height of 14 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of the empty space inside Container A
Answer:
First, let's work out the V of container A and B
V_A = pi x (diameter/2)^2 x height = pi x (26/2)^2 x 14 = 2366 pi (ft3)
V_B = pi x (diameter/2)^2 x height = pi x (18/2)^2 x 15 = 1215 pi (ft3)
After pumping water from container A to container B until B is full:
The empty space inside container A would be:
V_empty = V_A - V_B = 2366 pi (ft3) - 1215 pi (ft3) = 1151 pi (ft3) = ~3615.97 (ft3)
Answer:
3,815.1 feet³
Step-by-step explanation:
Volume filled in B = Volume emptied from A
pi × r² × h
3.14 × (18/2)² × 15
3815.1 feet³
10. A population of 1,236,000 grows 1.3% per year for 10 years.
11. A population of 752,000 decreases 1.4% per year for 18 years.
12. A new car that sells for $18,000 depreciates 25% each year for 4 years.
13. The value of a piece of equipment has a decay factor of 0.80 per year.
After 5 years, the equipment is worth $98,304. What was the original
value of the equipment?
14. A new truck that sells for $29,000 depreciates 12% each year. What is
the value of the truck after 7 years?
15. The price of a new home is $350,000. The value of the home appreciates 2%
each year. How much will the home be worth in 10 years?
Original Population = 1236000
Growth Rate = 1.3% per year
Since the population grows at an exponential rate, we can say that the growth of the population is an exponential growth.
Using the formula of exponential growth
population after 10 years = Original population (1-1.3%)^10
= 1236000 {1+(1.3/100)}^10
= 1236000 (1+0.013)^10
= 1236000 × 1.013^10
= 1236000 × 1.13787
= 1406407.32
neeeed helpp!!!! thank you
Answer:
1: 12d
2: m^-2 n^3
Step-by-step explanation:
For problem 1, you subtract all of the exponent(s) for 4d^4 by adding -4 and 4 together to create zero, thus removing the exponent(s), then you multiply 3×4 and get 12d.
For problem 2, you just put m^-2 and n^3 together. You cannot combine the exponents or variables, so it would just look like m^-2 n^3
The ^ before a number means that it is an exponent.
In which type of triangle is the orthcenter on the perimeter of the triangle
Answer:
Right Triangle
Step-by-step explanation:
All altitudes meet on the right angle vertex.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
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Steven earns extra money babysitting. He charges $17.25 for 3 hours and $28.75 for 5 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
The equation is y =
Answer:
y= 5.75x
Step-by-step explanation:
divide the amount he charges by how many hours.
Which of the following could represent the scale factor of the larger figure to the smaller figure?
15.9
5:3
3:2
21:14
2:3
20:30
Answer:
3:2 and 21:14
Step-by-step explanation:
The same side on the larger and smaller cylinders is 30 and 20 respectively or 18 to 12
Simplify:
30:20 => 3:2
18:12 => 3:2
Therefore, the answer is 3:2
However, in addition you can multiply 3 by 7 to get 21 and 2 by 7 to get 14, so 21:14 also works
3x-9y=9 -3x+4y=14 (1,-3) (6,1) (1,-8)
Which numbers are solutions to the inequality -3x-3<_6? Check all of the boxes that apply.
Answer:
0,2,4
Step-by-step explanation:
Answer: 0,2,4
Step-by-step explanation:
Samira is playing a game with the spinner shown. a. What is the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin? Enter as a fraction. b. Predict how many times the pointer will land in a section labeled with the letter A after 300 spins. J J O S H U A A K E a. The theoretical probability that the spinner will land on a section labeled A is . (Type an integer or a simplified fraction.)
Answer:
A. 1/5
B. 60 times
Step-by-step explanation:
The theoretical probability that the pointer(a) is 1/5 and the pointer will land in a section labeled with the letter A after 300 spins (b) is 60
We have given that the Samira is playing a game with the spinner shown.
We have to deterine the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin.
What is the probability of spinner?This probability is equal to the amount of '1's divided by the total amount of numbers on the spinner.
Thus,The theoretical probability that the spinner is 1/5.
and also the pointer will land in a section labeled with the letter A after 300 spins.
Therefore we get,
[tex]1/5\times 300/1=300/5=60[/tex]
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The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
B
Step-by-step explanation:
1
1
Jump ropes are given out during gym class. A student has a chance of getting a red jump rope and a
3
chance of getting a green jump rope. Meg is given a jump rope.
2
What is the probability that Meg gets a red or green jump rope?
The probability that Meg gets a red or green jump rope is
Answer:
2/2
Step-by-step explanation:
There are only red and green jump ropes so she is for sure going to get a red or green jump rope. If she wants specifically a red or green jump rope her chances are 1/2.
math help pls, thank you
Answer:
D. A minimum
Step-by-step explanation:
Point F is lower than the points nearby, both to the left and the right. Therefore it is a local minimum.
George Washington, Andrew Jackson, Ulysses Grant, Dwight Eisenhower
These four president were all-
Democrats
Republicans
Military leaders
College Professors
Answer:
George Washington, Andrew Jackson, Ulysses Grant, and Dwight Eisenhower were all military leaders.
Imagine there are two chambers. Chamber P is filled with air while Chamber Q has no air in it (a vacuum). If a leaf and a brick are dropped from the top of each chamber at the same time, where will they hit the ground at the same time?
A.in both chambers
B.in chamber P only
C.in chamber Q only
D.in neither chamber
Answer:A.in both chambers
Step-by-step explanation:
Look up the test on the moon.
and the test on Netflix
SOS need help
The cost (c), in dollars, charged by a car rental agency is calculated using the equation c=12+0.29m, where m represents the distance traveled in miles
A 56
B 153
C 194
D 206
E 236
Answer:
E= 236
Step-by-step explanation:
If C is 56.37, then m= 236
Answer:
236
Step-by-step explanation:
Which of the following statements is not true?
find the missing letter which is n.then find the perimeter. the width is 3ft and area is 33sq ft
Answer:
Perimeter = 28 ft
n = 11
Step-by-step explanation:
Area = length x width
33 = n * 3
n = 11 = length
then the perimeter is 2Length + 2Width
= 2*11 + 2*3 =
22 + 6 = 28
Answer:
Step-by-step explanation:
Area = 33 sq ft
length * width = 33
n * 3 = 33
Divide both sides by 3
n = 33/3
n = 11 ft
Perimeter = 2*(length + width)
= 2*(11 + 3)
= 2* 14
= 28 ft
What positive value of x makes the following equation true: x^2 = 289? Expain
Answer:
17
Step-by-step explanation:
17x17= 289
Answer:
The square root of 289 is also 17.
Step-by-step explanation:
This is like a stupid question I know how to do it but I just can’t so could someone help
Answer:
-6.7, -28/5, 8.2, 17/2
Step-by-step explanation:
Divide the fractions to turn them into decimals, then organize from least to greatest!
Answer:
The second one
Step-by-step explanation:
Divide 17 by 2 = 8.5
Divide -28 by 5 = -5.6
Therefore:
-28/5, -6.7, 8.2, 17/2
Hope this helps!
What is example of natural numbers
Answer:
1, 2, 3, and so on are natural numbers.
Step-by-step explanation:
