Given:
Amplitude = 21
Vertical shift = 19 units down
To find:
The maximum and the minimum value.
Solution:
The general form of sine function is:
[tex]y=A\sin (Bx+C)+D[/tex]
Where, |A| is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is the vertical shift.
Here,
[tex]Maximum=D+A[/tex]
[tex]Minimum=D-A[/tex]
We have,
Amplitude: [tex]A = 21[/tex]
Vertical shift: [tex]D=-19[/tex]
Negative sign means shifts downwards.
Now,
[tex]Maximum=D+A[/tex]
[tex]Maximum=-19+21[/tex]
[tex]Maximum=2[/tex]
And,
[tex]Minimum=D-A[/tex]
[tex]Minimum=-19-21[/tex]
[tex]Minimum=-40[/tex]
Therefore, the minimum value is -40 and the maximum value is 2.
“Use the equation 2p-7=25 to find the weight of your uncles backpack”
Answer:
the equation is 2p-7=25 // p = 16
Answer:
Your uncle's backpack weighs 16 pounds.
Step-by-step explanation:
1.) Add 7 to each side
2p=32
2.) Divide each side by 2
p = 16
3.) That is your answer.
If the city bus through Austin travels at 40 miles per hour, how many miles
will it travel in 4.5 hours.
The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y
(b)
That value of y when x=5
(c)
The value of x when y=12
Please help me answer my hw, thank you!
Answer:
A) 3
B)60
C)4
Step-by-step explanation:
y = kx
36 = 12k
A)k=3
~~~~~~~~~~
b) 60
12*5
c) 4
12/3
HELP ASAP
THANK YOU!!!
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
Given m
11
n, find the value of x.
N
820
20
Answer: =
Submit Answer
CAN SOMEONE PLS HELP I keep getting it wrong
Answer:
x = 98
Step-by-step explanation:
x and 82 are adjacent angles on a straight line and sum to 180° , then
x + 82 = 180 ( subtract 82 from both sides )
x = 98
Factor the polynomial
Answer:
(x+8)(x+7)
Step-by-step explanation:
Find two numbers that add to
b
and mulitply to
a*c
so find two numbers that add to
15
and mulitply to
56
Those two numbers are 8 and 7
therefore the answer is
(x+8)(x+7)
Solve the triangle. Round your answers to the nearest tenth.
HELP PLEASE !!!!
A. m
B.m
C.m
D.m
Answer:
Angle A = 42°
Side b (Opposite side of angle B) = 13
Side c (Opposite side of angle C) = 29
Answered by GAUTHMATH
THIS IS TIMED! Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
x/(-6)+y/(-7)=1
7x+6y=-42
7x+6y+42=0
y=(-7/6)x-7
Answer this plz hurry will mark the brainiest!
Answer:
17.138
Step-by-step explanation:
area of segment = area of minor sector of the circle -area of triangle TSR
NOTE : AM using area of triangle as
1/2absinC
(48/360 ×22/7 ×19 ) - (1/2 × 19 ×19 × sin 48)
= 151.276 - 134.134
= 17.138
SOMEONE HELP ME PLEASE
Answer:
Step-by-step on:ơ
PLS HELP ASAP PLS PLSPLS
What is the explicit formula for this sequence?
6, 2, -2, -6, ...
Answer:
B
Step-by-step explanation:
this is just common sense. if you would have tried you could have easily answered this yourself.
the sequence starts with 6. that is a1.
so, the formula simply has to add "something" to 6.
therefore, A and D are out.
and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.
so, we need to add multiples of -4.
therefore, only B is correct (C adds multiples of +4).
100 PNTS AND BRAINLIST FOR CORRECT ANWSER WITH A GOOD EXPLAINATION!!
You pay $10 to play the following game of chance. There is a bag containing 20 balls: five are red, five are green, and the rest are yellow. You are to draw one ball from the bag. You will win $18 if you draw a red ball, and you will win $10 if you draw a green ball. You win nothing for drawing a yellow ball. What is the expected value? Should you play?
Answer:
Expected value is -3
You should not play
Step-by-step explanation:
five are red, five are green, 10 yellow
P(red) = red/total = 5/20 = 1/4
P(green) = green/total = 5/20 = 1/4
P(yellow) = yellow/total =10/20 = 1/2
Expected value = 1/4(18) + 1/4(10) + 1/2(0) - 10 to play
=18/4 + 10/4 - 10
=28/4 -10
=7-10
= -3
You should not play
Divide 360 between Kunal and Mohit in the ratio of 7:8
Answer:
K = 168 M = 192
Step-by-step explanation:
7:8 = 15
?:? = 360
Divide
360 / 15 = 24
Multiply
24 × 7 = 168
24 × 8 = 192
168:192 = 360
So, Kunal gets $168 and Mohit gets $192.
Step-by-step explanation:
Let the common ratio = x
Kunal = 7x
Mohit = 8x
Total value = 360
we know,
7x + 8x = 360
15x = 360
x = 360÷15
x = 24
so,
Kunal = 7x = 7×24=168
Mohit = 8x = 8×24=192
Attempt 1 of
For the following system, use the second equation to make a substitution for y in the first equation.
3x + y = 1
y+4= 5x
What is the resulting equation?
3x + 5x + 4 = 1
3x + 4 - 5x=1
3x + 5x - 4 = 1
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ka
O
Answer:
3x + 5x - 4 = 1
Step-by-step explanation:
rewrite equations (i'm using the substitution method)
3x + y = 1
y = 5x − 4
plug in the second equation into the first
3x + (5x − 4) = 1
whats the geometric means of 4 and 1/4
The gometric means G1, G2, G3, 1/4
Which is a factor of x2 + 5x - 24?
(x - 6)
(x + 6)
(x-8)
(X + 8)
Answer:
[tex](x + 8)(x - 3)[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 5x - 24[/tex]
[tex] {x}^{2} + 8x - 3x - 24[/tex]
Factor by grouping
[tex](x + 8)(x - 3)[/tex]
I am not sure. Is this right?
Answer:
14.4
Step-by-step explanation:
since the longest side is 24,find the shortest side
√20^2-12^2
√400-144
√256
=16
which means the other shortest side is 24-16
which is 8
then you have to use the 12 and 8 to find the unknown side
√12^2+8^2
144+64
√208
14.4
I hope this helps
How many solutions are there to the equations: x+2y=-2 y=1/2x-5
Answer:
Step-by-step explanation:
x+2y=-2
2y=-x-2
y=-x/2-2/2
y=-x/2-------(1)
y=1/2x-5-----(2)
(1)=(2)
-x/2=1/2x-5
-x=x-10
-2x=-10
x=5
substitute in 2
y=(1/2)*5-5
=5/2-5
=-2.5
can someone help me pls
it's easy look at the example for reference
Which is the graph of y = log4(x+3)?
Answer:
Step-by-step explanation:
Answer:
Option c points at (-2,0) (-1, 0.5) and (1,1)
Step-by-step explanation:
8tbsp. 2tsp.
x 15
_________
A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
1.the coordinate of M and N
2./AB/, correct to one decimal place
3.The eqation PQ
I need answers urgently.
pls
A point has
the coordinates (m, 0) and m + 0.
Which reflection of the point will produce an image located at (0, -m)?
• a reflection of the point across the x-axis
O a reflection of the point across the y-axis
O a reflection of the point across the line y = X
a reflection of the point across the line y = -X
Answer:
A reflection of the point across the line y = -x
Step-by-step explanation:
General rule for reflection across line y = -x is
(a,b) -------> (-b , -a)
Hey can anyone help with this question?
Answer:
Step-by-step explanation:
When you learn calculus you'll be able to do this by hand (without a calculator) but for now we have to just kind of guess. We know that 8 x 8 = 64 and 9 x 9 = 81, so the number is between 8 and 9. Since 68 is closer to 64 than it is to 81, the number is closer to 8. Like less than 8.5. 8.1 squared is 65.61, (you can do this by hand...without a calculator) and 8.2 squared is 67.24, and 8.3 squared is 68.89. 8.3 squared is too high while 8.1 squared was too low; the estimation to the nearest tenth is 8.2
The path a character takes to navigate a level of a video game is given in the following graph.
What is the domain?
A. –4 ≤ x ≤ 8
B. –4 ≤ x ≤ 8, x ≠ 0, 4
C. –10 ≤ x ≤ 10
D. –10 ≤ x ≤ 10, x ≠ –4, 6
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
The domain of a graph is the set of input values accepted by the function. They are values along the x-axis of the graph.
According to the graph shown, the values along the x-axis lies between -10 and 10. Hence the domain of the graph will be expressed as:
–10 ≤ x ≤ 10
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
Learn more here: https://brainly.com/question/18486099
pls I'll mark u BRAINLIEST
(B−A)∪C=(B∪C)−(A−C)
Answer:
(I don't have the complement sign of sets, so I've used "©" to denote compliment)
L.H.S.
(B-A)∪C
= (B∩A©)∪C
= (B∪C)∩(A©∪C)
= (B∪C)∩(A-C)©
= (B∪C)-(A-C) = R.H.S.
(Proved)
which function defines the sequence 5,8,11
Answer:
adding 3 to each number.
Step-by-step explanation:
Will Give Brainliest!
Solve for r.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
35r - 21 < -35r + 19
Answer:
r < 4/7
Step-by-step explanation:
35r - 21 < -35r + 19
35r + 35r < 19 + 21
70r < 40
r < 4/7
Answer:
r < 4/7
Step-by-step explanation:
Problem 2 Find the mBC.
Answer:
38º
Step-by-step explanation:
<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.
So mBC = 38º
Slope of (5a, b) and (2a, 2b)
Answer:
8a+4b
Step-by-step explanation:
