Using translation concepts, the function whose graph is plotted is given by:
y = 0.5cos(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the y-intercept is different of zero, hence it is a cosine function. The amplitude is of 0.5, hence the function is multiplied by 0.5, that is, y = 0.5cos(x), which means that option C is correct.
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how many times can 495 go into 156
Answer:
0
Step-by-step explanation:
Answer:
0.315 times
Step-by-step explanation:
156÷495 ≈ 0.315
Have a good day :)
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In a class of 30 students, 17 have a brother and 14 have a sister. There are 8 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother?
Answer:
[tex]\frac{14}{30} = 7/15[/tex]
The probability that a randomly selected student has a brother given they have a sister is 11/30.
We have given that,
Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.
What is the formula for probability?The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.
Since there are 30 students in total, and 11 of them have both a brother and a sister,
Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.
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You have a piggy bank that contains 2 pennies, 4 nickels, 8 dimes, and 6 quarters. Find the probability of picking a coin worth more than 10 cents. .
Answer:
The probability is 3/10
Step-by-step explanation:
So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10
HELP ME PLEASE!!! I’ll mark brainly
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes
Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio of the surface area of the small cylinder to the surface area of the large cylinder.
Answer:
4:25
Step-by-step explanation:
Given that,
r₁ = 15 inches, r₂ = 6 inches
The area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2[/tex]
The ratio of surface areas of two cylinders,
[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]
Hence, the required ratio is 4:25.
Lupe needs to make a poster that is 2 m by 4 m for the big game. The cost of the paper is $1.75. Later she needs another poster with dimensions 1 m by 2 m. What is the paper for this poster likely to cost
Answer:
$0.42
Step-by-step explanation:
Given data
Dimension
Length=4m
Width=2m
Cost= $1.75
Area= 4*2= 8m^2
Cost per area=1.75/8
Cost per area=$0.21 per m^2
The new poster's dimension
Lenght =2m
Width= 1m
Area= 2*1= 2m^2
Hence if a square meter cost $0.21
Then 2 square meter will cost x
cross multiply
2*0.21=x
x=$0.42
Hence the new poster will cost $0.42
+
Find the missing side to the nearest tenth 23 and 19
Find the equation of a straight
line passing through the point of
intersection of the lines
y = 2x +3 and x +y = 3 and
parallel to the line y = -5x +7
Answer:
y = -5x + 3.
Step-by-step explanation:
We can find the point of intersection by solving the system:
y = 2x + 3 .... 1
x + y = 3 ...... 2 from this:
y = 3 - x ....... .3
Equating equations 1 and 3:
2x + 3 = 3 - x
3x = 0
x = 0 so y = 2(0) + 3 = 3.
So the point of intersection is (0, 3).
So the required equation has slope -5 and passes through (0, 3) and, using the point-slope form of a straight line, we have:
y - 3 = -5(x - 0)
y - 3 = -5x
y = -5x + 3.
Which two triangles below are similar?
Answer:
Triangle A and B
Step-by-step explanation:
Both triangles have two same angles.
If Triangle A is rotated like Triangle B, they would be the same.
Vice versa, if Triangle B is rotated like Triangle A, it would be the same.
If my answer is incorrect, pls correct me!
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A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?
Answer:
Length will be 173
Step-by-step explanation:
If 2y =a and y =3x +12 what is a?
Step-by-step explanation:
2y=a
y=a/2
putting value of y
y=3x+12
a/2=3x+12a=6x+24stay safe healthy and happy ...Question 3
What is the slope of the line?
Please
Answer:
2
Step-by-step explanation:
Please help I’ll give 5 stars
What is a explication for linear relationship?
Step-by-step explanation:
A linear equation in two variables can be described as a linear relationship between x and y, that is, two variables in which the value of one of them (usually y) depends on the value of the other one (usually x). In this case, x is the independent variable, and y depends on it, so y is called the dependent variable
SA = 2pi * r ^ 2 + 2pi * r * h (Use 3.14 for .) How much metal is needed to create a trash can with a height of 4 feet and a base radius of 1 foot? (Find the surface area of the cylinder.) pi square feet Do NOT round your answer.
Answer:123
Step-by-step explanation:
A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?
Answer:
15/91
Step-by-step explanation:
P(G,G) = 6/14 x 5/13 = 15/91
Find a pair of complementary angles. Show work to prove they are complementary.
Answer:
Hello! answer: 45 and 45 is a complementary angle and 60 and 30 is a complementary angle
Step-by-step explanation:
Complementary angles are just angles that add up to 90 degrees so... 45 + 45 = 90 60 + 30 = 90 so that is how those are complementary angles.
Hope that helps!
Answer:
angle QRT/angle VRT and angle SRW/angle WRV
Step-by-step explanation:
QRT and VRT: Both angles are 45 degrees, adding those degrees together gets you 90 degree angles meaning that they are complementary.
SRW and WRV: 60 plus 30 is equal to 90 making them complementary angles as right angles are 90 degrees
An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side
Answer: [tex]3\times \dfrac{P}{3}=P[/tex]
Step-by-step explanation:
Given
The perimeter of one equilateral triangle is P
The lengths of the equilateral triangle are equal
Suppose x is the length of each side
[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]
i.e.
[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]
PLEASE HELPPPP THE DROP DOWN MENUES ARE ALL THE SAME
Answer:
a) distributive property
b) combining like terms
c) commutative property of addition
What is the solution to
(y = 3x - 30
x2 + y2 = 100
Answer:
x = 20
y = 30
Step-by-step explanation:
Answer:
x = 20
y = 30
Step-by-step explanation:
y = 3x - 30
2x + 2y = 100
2x + 2(3x - 30) = 100
2x + 6x - 60 = 100
8x - 60 = 100
8x = 160
x = 20
y = 3(20) - 30
y = 60 - 30
y = 30
There are two bags of oranges on sale. The prices are shown below: Bag A: $2400 containing 12 oranges Bag B: $3000 containing 20 oranges Which is the better buy?
Answer:
Bag B which is $150 for one orange
Step-by-step explanation:
In ,bag A 12 oranges cost 2400
The price of one orange in bag A is
= 2400/12
= $200
In bag B 20 oranges cost $3000
The cost of one orange in bag B is
= 3000/20
= $150
Hence the better buy is bag B which goes for $150 for one orange
A jar contains 6 red marbles, 3 green marbles, 5 white marbles, and 7 yellow marbles. Find the probability of drawing a green marble. All answers should be given as a fraction in simplest form!
Any help is appreciated! Thanks!
Answer:
simple - 1/21 chance
Step-by-step explanation:
since its asking for the probability of "a" marble, and not all the green marbles, you add everything up and slap what outcome (1 in this case) on top of the 21
here is cat
Answer:
3 is for green marbles
21 is the total of all marbles
Step-by-step explanation:
you only have 1 event so I think we don't need some formula or something
the formula is this if the event A and B has no intersection P( A U B)= P(A)+P(B)
and if it has intersection, the formula is like this P( A ∩ B)=P(A)+P(B)-P( A ∩ B)
11 times z=121
(11xz=121
Answer:
z will be11
11z = 121
z = 121/11
z= 11
Answer:
1=121= 11
Step-by-step explanation:
in a school ,the number of boys who play cricket is 3 times as much as a number of boys who play tennis. if 12 boys, who play cricket, play tennis instead, the number of boys who play each of these sports would be the same. find the number of boys who play tennis
Answer:
The number of boys who play tennis is 36.
Step-by-step explanation:
Let the number of boys who play tennis is x.
number of boys who play cricket = y
x = 3 y..... (1)
12 boys plays both cricket and tennis.
According to the question,
x - 12 = y + 1 2
3 y - 12 = y + 12
2 y = 24
y = 12
So, the number of boys who plays tennis is x = 3 x 12 = 36.
I need help immediately!!!!!!!
Answer:
y = -2/3x - 5
Step-by-step explanation:
A 7 character computer password is made up of 3 letters followed by 4 numbers. How many different passwords are possible?
Answer:
the answer is 456,976,000
Answer:
✅ C. 456,976,000⬇️ i got it right
A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover that curved surface of the frustum B)what is the volume of the frustum (Give both answers in terms of pie)
Answer:
[tex](a)\ Area = 195\pi[/tex]
[tex](b)\ Volume = 700\pi[/tex]
Step-by-step explanation:
Given
[tex]h = 12[/tex]
[tex]d_1 = 10[/tex] --- lower diameter
[tex]d_2 = 20[/tex] --- upper diameter
Solving (a): The curved surface area
This is calculated as:
[tex]Area = \pi l(r_1 + r_2)[/tex]
Where
[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius
[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius
And
[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum
[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]
[tex]l = \sqrt{12^2 + (-5)^2[/tex]
[tex]l = \sqrt{144 + 25[/tex]
[tex]l = \sqrt{169[/tex]
[tex]l = 13[/tex]
So, we have:
[tex]Area = \pi l(r_1 + r_2)[/tex]
[tex]Area = \pi * 13(5 + 10)[/tex]
[tex]Area = \pi * 13(15)[/tex]
[tex]Area = 195\pi[/tex]
Solving (b): The volume
This is calculated as:
[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]
This gives:
[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]
[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]
[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]
[tex]Volume = \pi *4 * 175[/tex]
[tex]Volume = 700\pi[/tex]
The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is What is the value
of b?
-18
-9
9
18
Answer:
B.) -9
Step-by-step explanation:
The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
How to calculate the axis of symmetry of a function?The standard equation of a function in vertex form is given as:
f(x) = (a + x)^2 + h
Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:
3/2= -b/2a
-b/2(3)=3/2
-b/6=3/2
Cross multiply
-2b = 18
-b=9
Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
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Exponential functions are in the form f(x)=a(b)x−h+k. What does a negative "a" value do the graphed equation?
Moves the equation "a" spaces right
Moves the equation "a" spaces right
Moves the equation "a" spaces left
Moves the equation "a" spaces left
The "a" value can't be negative
The "a" value can't be negative
Reflects the graph over the y-axis
Reflects the graph over the y-axis
Reflects the graph over the x-axis
please answer as soon as possible for brainlist
Please help me A line that includes the point (3, 3) has a slope of 4. What
is its equation in slope-intercept form?
Answer:You can do this two ways: Either use the slope intercept form
y = mx + b with slope m=-2 so y = -2x +b
From that use x=5, y = -3 to solve for b
-3 = -2(5) + b
-3 = -10 + b
10-3 = b
7 = b
Your equation is: y = -2x + 7
OR
Use the point slope formula: y - y1 = m(x-x1)
with m = -2, (x1, y1) = (5,-3)
y-(-3) = -2(x-5)
y + 3 = -2x + 10
y = -2x + 10 - 3
y = -2x + 7
Step-by-step explanation:
The slideat the playground has a height of 6ft. The base of the slide measured on the ground is 8ft. What is the length of the slide?
Answer:
10 ft
Step-by-step explanation:
The length of the slide can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
6² + 8² =
36 + 64 = 100
c = √100
c = 10