Answers
Answer: g(x) = (1/16)*x^2
========================================================
Explanation:
Plug x = 4 into f(x) to find that f(4) = 16.
The output y = 16 drops to y = 1. We've multiplied by 1/16 to get this to happen.
In other words,
g(x) = (1/16)*f(x)
g(4) = (1/16)*f(4)
g(4) = (1/16)*16
g(4) = 1
So we can say that,
g(x) = (1/16)*f(x)
g(x) = (1/16)*x^2
and furthermore, we can say f(x) has been vertically compressed by a factor of 16.
Related Questions
Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo
Answers
Answer:
84,3 ° Sureste
Step-by-step explanation:
El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.
La dirección del avión es la dirección de la velocidad resultante.
Si esta dirección es θ
θ = tan ^ -1 (400/40)
θ = 84,3 ° Sureste
A changes
16. By accident, 6 burned out bulbs have been mixed in with 16 good ones, Ken is replacing old bulbs in his house. If he selects two bulbs at random from the box of 22, what is the
probability they both work?
Answers
Answer: 8/11
Step-by-step explanation:
This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.
=================================================
Explanation:
There are 16 working bulbs out of 6+16 = 22 bulbs total.
The probability of randomly selecting a working bulb is 16/22
After that first bulb is selected and not put back, the probability of randomly selecting another working bulb is 15/21. Take note that I subtracted 1 from each part of the original fraction.
So we get the answer of
(16/22)*(15/21) = 240/462 = 40/77 which is choice C.
------------
Extra info:
Choice A is only true if Ken puts the first selection back. You would compute (16/22)*(16/22) = 64/121. However, it sounds like he's not doing replacement. So whatever is selected is not put back. This is why I ruled out choice A.Choice B is ruled out as well because 16/22 = 8/11 refers to the probability of one working bulb (instead of 2 in a row)It's not clear how the fraction of choice D is formed, but we can rule it out because choice C is the answer.Emma rides a bicycle 16 miles east and then 15 miles north. About how far is she from her starting point?
Answers
Step-by-step explanation:
starting pt.
root 16²+15²
= 256 + 225
=481
distance= 22 miles aprox.A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a central angle marked 38 degrees and the diameter marked 20 feet. What is the area of the slice of pie that was cut, rounded to the nearest hundredth? 22.08 ft2 13.19 ft2 33.14 ft2 28.97 ft2
Answers
Answer:
33.14 ft^2
Step-by-step explanation:
First find the area of the circle
The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft
A = pi r^2 = pi ( 10)^2 = 100 pi
The central angle is 38
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth
33.14 ft^2
The area of the slice of pie that was cut, rounded to the nearest hundredth 33.14 ft^2.
We have to first find the area of the circle.
The diameter is 20 ft so the radius is 1/2 of the diameter of
20*1/2 = 10 ft.
What is the area of the circle?
The area of a circle [tex]A = \pi r^2[/tex]
By using the formula we have,
A= pi ( 10)^2
A = 100 pi
The central angle is 38.
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth, it is 33.14 ft^2.
To learn more about the circle visit:
https://brainly.com/question/24375372
Jennifer invested $379 in a simple interest account. The account now has $554 in it. The money has been invested for 5 years. What interest rate (as a percentage) did this account have?
Answers
9514 1404 393
Answer:
9.23%
Step-by-step explanation:
The account balance for simple interest is given by ...
A = P(1 +rt) . . . . . principal P invested for t years at rate r
554 = 379(1 +r·5)
554 = 379 + 1895r . . . . eliminate parentheses
175 = 1895r . . . . . . . . . subtract 379
r = 175/1895 ≈ 0.092348 ≈ 9.23%
Jennifer's account had an interest rate of about 9.23%.
Help me come up with a YT name plz. I’m looking for something that POPS, but I keep coming up with the same names/words.
Answers
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Esmerelda is a math student who needs to gather a sample of 10 participants to conduct a survey about U.S. residents. She asks her 3 siblings, her 2 parents, and telephones 5 friends and asks them to complete her questionnaire. This is an example of a ______________________.
A. convenience sample
B. systematic sample
C. self-selecting sample
D. representative sample
Answers
Answer:
Representative sample is your answer ....
pls pls pls help me answer this quickly
Answers
Answer:
768
Step-by-step explanation:
(8×8×10)+(8×8×6/3)
= 640+128
= 768
Answered by GAUTHMATH
Which angles are supplementary to each other?
Angle 4 and Angle 2
Angle 5 and Angle 2
Angle 4 and Angle 3
Angle 2 and Angle 7
Answers
Answer:
The answer is Angle 4 and Angle 3.
Answer:
It's answer is angle 4 and angle 3
The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.
Calculate angle PRO.
Answers
Answer:
m<PQR = 18.7°
Step-by-step explanation:
Apply the Law of Sines,
[tex] \frac{Sin A}{a} = \frac{Sin B}{b} [/tex]
Where,
Sin A = Sin 140
a = 100 m
Sin B = Sin R (<PRQ)
b = 50 m
Substitute
[tex] \frac{Sin 140}{100} = \frac{Sin R}{50} [/tex]
Cross multiply
[tex] 100*Sin(R) = 50*Sin(140) [/tex]
Divide both sides by 100
[tex] Sin(R) = \frac{50*Sin(140)}{100} [/tex]
[tex] Sin(R) = 0.32139 [/tex]
[tex] R = Sin^{-1}(0.32139) [/tex]
R ≈ 18.7° (nearest tenth)
m<PQR = 18.7°
The angle PRO is 1.7 degrees.
Given that,
The diagram shows three points P, Q, and R on horizontal ground.
PQ = 50 m, PR = 100 m and angle PQR = 140°.
We have to determine,
The angle PRO.
According to the question,
The value of angle PRO is determined by using the sin rule-following all the steps given below.
[tex]\rm \dfrac{sina}{a} = \dfrac{sinb}{b}[/tex]
Where, Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m
Substitute all the values in the formula,
[tex]\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree[/tex]
Hence, The angle PRO is 1.7 degrees.
For more details refer to the link given below.
https://brainly.com/question/12895249
1.Evaluate
a.(243/32)^-0.4
Answers
Answer:
4/9
Step-by-step explanation:
negative exponent means 1/...
so, this is
(32/243)^(4/10) = (32/243)^(2/5)
that means to the power of 2 and then pulling the 5th root.
so, let's pull the 5th root first, and then we square
(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9
HELP PLZ I GIVE YOU BRAINLIEST IF YOU GET CORRECT PLZ I BEG YOU
in a 2-digit number, the tens digit is 5 less than the units digit. if you reverse the number, the result is 7 greater than the double the original number. find the original number
Answers
Answer:
Original number = 38
Step-by-step explanation:
10*x + y
x = y - 5
10y + x = 2 (10x + y) + 7
10y + y - 5 = 2(10(y - 5) + y) + 7
11y - 5 = 2(10y - 50 + y ) + 7
11y - 5 = 2(11y - 50) + 7
11y - 5 = 22y - 100 + 7
11y - 5 = 22y - 93
11y + 88 = 22y
88 = 11y
y = 8
x = y - 5
x = 8 - 5
x = 3
So the original number is 38. Does that work?
3 is 5 less than 8.
83 = 2*38 + 7
83 = 76 + 7
83 = 83. Yes it works.
If n(a)=40,n(b)=60 and n(a∪b)=80.find the value of (a∩b.
Answers
Answer:
20
Step-by-step explanation:
we know,
n(aUb)=n(a)+n(b)-n(a∩b)
so,
80=40+60-n(a∩b)
or, 80-(40+60)=-n(a∩b)
or, -n(a∩b)=80-100
or, -n(a∩b)=-20
or, n(a∩b)=20
factor and solve the problem in the photo ……. pleaseeee helppppp i havent done algebra in 2 years
Answers
Answer:
Not factarable, all terms must be in x. or y
Step-by-step explanation:
whats the perimeter and area of this shape?
Answers
Answer:
60+14.35=88.27
Step-by-step explanation:
5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.
Answer:
P = 37.42478 A = 88.27
9. Calculate the perimeter and the perimeter of a quadrant of a circle with radius 7 cm
correct to 3 significant figures.
Answers
Answer:
Circumference is 43.982 cm
Step-by-step explanation:
[tex]circumference = 2\pi r \\ = (2 \times 3.14 \times 7) \\ = 43.982 \: cm[/tex]
[tex]{ \underline{ \tt{ ‡†‡ \: \: trent008}}}[/tex]
James is having a BBQ. Burgers come in packs of 12
and buns come in packs of 8. How many packs of each
will James need to buy so that he has no spares?
Answers
Answer:
2 packs of Burgers, 3 Packs of Buns
Answer:
He will need to buy 2 packs of burgers. And 3 packs of buns.
Step-by-step explanation:
The lowest common number that 12 and 8 Share is 24. 12×2=24 8×3=24
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 7 seconds to complete the check-out process. If it takes 32 seconds to complete a transaction, how many products are being purchased?
Answers
32 - 7 = 25/5 = 5
so, we have 5 products being purchased, since the 7 sec check-out doesn't count as product time.
hope it helps :)
Answer:
5 items
Step-by-step explanation:
32 - 7 = 25
25 / 5 = 5
This means that 5 items are being purchased.
Hope it helps c:
What is the slope, in its most simplified form, of the line that contains (1, 3) and (5, 9)
Answers
The slope is 3/2
Step-by-step explanation:
Use the Slope-Formula to identify the slope
Slope = change in y/change in x
Slope = (y2 - y1)/(x2 - x1)
Points: (1, 3) and (5, 9)
Slope = (9 - 3)/(5 - 1)
Slope = 6/4
Slope = 3/2
9x mũ 2 + 6x + 1 cho mình hỏi câu này ạ
Answers
Answer:
can you translate in english,would be better...
answer maybe wrong because of the language but stil....
9x(2+6x+1)
=9x(9x)
81x..
An angle measures 51.4° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
70.7 deg, 19.3 deg
Step-by-step explanation:
The sum of the measures of complementary angles is 90 deg.
One angle measures x.
The other angles measures 51.4 deg less than x, or x - 51.4.
The sum of their measures equals 90.
x + x - 51.4 = 90
2x - 51.4 = 90
2x = 141.4
x = 70.7
x - 51.4 = 70.7 - 51.4 = 19.3
Answer: 70.7 deg, 19.3 deg
A purchase costs $25.79 plus a tax of $1.29. Find the sales tax rate.
Answers
Answer:
The sales tax rate is 5%.
Step-by-step explanation:
To determine the sales tax rate if you already know the amount of tax being added to the purchase price, divide the amount of tax by the purchase price. In this example, divide $1.29 (amount of tax being added) by $25.79 (purchase price). When you do that, you will see that the answer is 0.0500, or 5%.
If it takes a team of three painters to paint a 7-room house in a day, how many painters are required to paint a 14-room house in a day?
Answers
Answer: 6 Painters
Step-by-step explanation:
Total painters needed to paint 7-room house = 3 painters
Rooms painted by each painter = 3/7
Total painters needed to paint 14-room house = 3/7×14
= 42/7
= 6 painters
Therefore it will require 6 painters to paint 14-room house
please click thanks and mark brainliest if you like :)
This cylinder has a radius of 4 feet and a volume of 2087 cubic feet.
What is the height of the cylinder?
Answers
Answer:
h = 41.52 feet
Step-by-step explanation:
The volume is π•radius²•height:
π•4²•h = 2087
16πh = 2087
h = 2087/16π
h ≈ 41.52 feet
In the diagram what is the length of the 3rd side?
Answers
Answer:
Step-by-step explanation:
Use Pythagorean's Theorem:
[tex]c^2=15^2+8^2[/tex] and
[tex]c^2=225+64[/tex] and
[tex]c^2=289[/tex] so
c = 17
Step-by-step explanation:
To find a missing side length, Use Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
Where a^2 is 8, b^2 is 15 and c^2 is the missing side length.
8^2 + 15^2 = c^2
Simplify the exponents
64 + 225 = c^2
c^2 = 289
Square root c^2
sqrt rt of 289 = 17
so the missing length of the third side is 17
Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
x = 3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side / adj side
tan 30 = sqrt(3) / x
x tan 30 = sqrt(3)
x = sqrt(3) / tan 30
x =sqrt(3) / (1 / sqrt(3))
x = sqrt(3) * sqrt(3)
x = 3
20° + 2pº
70°
p =
degrees
Answers
20 + 2(25)= 70
Hope this helps!
[tex]\\ \sf\longmapsto 20°+2p=70[/tex]
[tex]\\ \sf\longmapsto 2p=70-20[/tex]
[tex]\\ \sf\longmapsto 2p=50[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{50}{2}[/tex]
[tex]\\ \sf\longmapsto p=25[/tex]
Factor.
20x2 – 19x + 3
Answers
Answer:
Here is your answer!
50 percent of 120 is the same as 80 percent of what number?
A) 42
B) 45
C) 48
D) 52
Answers
Answer:
75... but I don't see it down there
Step-by-step explanation:
equation:
0.5(120) = 0.8(x)
60 = 0.8x
60/8 = 0.1x
7.5 = 0.1x
x = 75
If my answer is incorrect, pls correct me!
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-Chetan K
Find the value of x in each case:
Please help me
It's an easy 40 points if you answer this
Answers
Answer:
x = 45
Step-by-step explanation:
The angles labeled with the pink x are the same. Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.
We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180
x+x+ 2x = 180
4x= 180
4x/4 = 180/4
x = 45
