Answer:
g(x) is horizontally stretched by a factor of 1/5
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) = (\frac{x}{5})^2[/tex]
Require
Determine the relationship between f(x) and g(x)
[tex]f(x) = x^2[/tex]
[tex]g(x) = (\frac{x}{5})^2[/tex]
Express g(x) in terms of f(x)
[tex]g(x)=f(\frac{x}{5})[/tex]
This can further be simplified as:
[tex]g(x)=f(\frac{1}{5}x)[/tex]
When a function is represented as:
[tex]g(x) = f(cx)[/tex]
Where c < 1,
Then the type of translation is a horizontal stretch (stretch in the x direction)
By comparison: [tex]g(x) = f(cx)[/tex] and [tex]g(x)=f(\frac{1}{5}x)[/tex]
[tex]c = \frac{1}{5}[/tex]
This means that: g(x) is horizontally stretched by a factor of 1/5
An observatory is shaped like a cylinder standing on one of its bases with a dome on top. The diameter of the floor of the observatory is 64 feet, as shown in the diagram. What is the measurement of the circumference of the base of the observatory in feet to the nearest hundredths place?
Answer:
201.14 ft
Step-by-step explanation:
C = 2 π r = π d
C = [tex]\frac{22}{7}[/tex] × 64 ≈ 201.14 ft
Answer:
3215.36
Step-by-step explanation:
C=πr²
C=3.14(32)²
C=3.14(32·32)
C=3.14(1024)
C=3215.36
Estimate a 20% tip on a dinner bill of $131.58 by first rounding the bill amount to the nearest ten dollars.
Step-by-step explanation:
131.58 --> 130.00
130.00 ÷ 10 = 13
13 = 10% of 130
13 x 2 = 26 (20% of 130)
The tip would be $26
Rewrite in simplest terms: -8(7y-8)-3(7y-7)
Answer:
−77y+85
I hope I helped!
Help due in 5 minutes!!
Answer:
Put 5 in the box on the left side, then on the top, put 2 on the first box, and 3 in the second box, also on top
Step-by-step explanation:
Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.
Answer:
Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±[tex]\sqrt{61}[/tex])/2. So, PQ=[tex]\frac{\sqrt{61} }{2}[/tex], PQ²=[tex]\frac{61}{4}[/tex]. Thus, the answer is 61+4=65.
Step-by-step explanation:
3.4 greater than 110%
Answer:
4.5
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
A black shirt originally costs $23.00, then goes on sale for $17.25. What is the percentage discount?
Answer:
5.75 was te percentage discount hope it help you
Triangle ABC is reflected over the line y = 1. What are the coordinates of B'? (–2, 3) (–2, 5) (2, –3) (4, –3)
Answer:
(-2,5)
Step-by-step explanation:
From the figure in the attachment it is clear that when point B will be reflected about the line y= -1. The point B becomes (-2,5)
Answer:b-(-2,5)
Step-by-step explanation:
The formula for the volume of a cylinder is V= ah, where Vis the volume, r
is the radius, and his the height. Solve the formula for r, and then use it to
answer the question.
A cylindrical bucket contains 452 cubic inches of water. The height of the
water is 4 inches.
What is the radius of the bucket, to the nearest whole number? Use 3.14 for
TT.
A. 8 inches
B. 5 inches
C. 7 inches
D. 6 inches
Answer:
volume=452in³
πr²h=452
r²=452×4/3.14=575.8
r=√575.8=23.99=24in is your answer
Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,897 gallons of water, and is leaking at a rate of 5 gallons per day. If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 187 days?
Answer:
Gallons of water remaining = 16,962 gallons
Step-by-step explanation:
Total capacity of the pool = 17,897 gallons
Rate of leakage per day = 5 gallons
Number of days = 187 days
how many gallons of water will remain in the pool after 187 days?
Gallons of water remaining = Total capacity of the pool - (Rate of leakage per day × Number of days
= 17,897 - (5 × 187)
= 17,897 - 935
= 16,962 gallons
Gallons of water remaining = 16,962 gallons
what is the first step to answer -3=x+5
Answer:
Step-by-step explanation:
-3=x+5
-5. -5
-8=x
Find the slope
(19, -16) (-7, -15
Answer:
Y-Intercept (-3,4) , (19,7). (−3,4) ( - 3 , 4 ) , (19,7) ( 19 , 7 ). Find the value of the slope.
Step-by-step explanation:
isabella earned $44.00 for 4 hours of work.How much was earned per hour
Answer:
11$ an Hour because
Step-by-step explanation:
Because 4 divided by 44 = 11.
HELP DUE IN 5 MINS WILL GIVE 20 POINTS!!!!
Answer:
c is the answer i believe
Step-by-step explanation:
Ben is three times as old as Kate. Kate is 6 years older than Jill. Jill is J years old. What is the combined age of the three people?
Answer:
the combined age of the three people is
5 J + 24
Step-by-step explanation:
Jill (J)
Kate (J+6)
Ben 3(J+6)
J + (J+6) + 3(J+6)
J+J + 6 +3 J +18
5 J + 24
What is the VARIABLE in the expression 8p - 5?*
Answer:
p is the variable
Step-by-step explanation:
a variable is a letter that represents an unspecified number.
Answer:
p is the variable
Step-by-step explanation:
p is the variable because "p" is the only unknown
hope this helps :) have a nice day !1
6th grade math help me pleaseeee...
Answer:
-3.8
Step-by-step explanation:
u = 3.8
u × -1 = 3.8 × -1
-u = -3.8
nala works for 20 hours at $11.50 per hour. how much does she earn
Answer:
She earned $230.
Step-by-step explanation:
Each hour Nala earns $11.50.
If she works for 20 hours, we can do 11.50*20 to get the amount she earned.
11.50*20 = 230
Evaluate. 4 1/8 – 1 3/4
Answer:
3 2/8
Step-by-step explanation:
4 1/8 - 1 3/4 =
3/4 equals 6/8
4 1/8 - 1 6/8 =
do the math
4 1/8 - 1 6/8 = 3 2/8
hope this helps! Plz give brainlyest!
PLEASE HELP WITH THIS QUESTION, ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
35-original drill set price
25% or .25-the additional price
markup in decimal form- 0.25
markup in percent form- 25%
Equation-35 + 25% or 0.25
35 + 25% = 43.75
1) A plane averaged 412 miles per hour on a trip that
lasted 3 3/4 hours. How far did the plane fly?
Please help !
Mari can walk 2.5 miles in 45 minutes. At this rate, how far can she walk in two and a half hours?
90 POINTS AND A BRAINLIEST!!!!!!
A certain rectangular prism has a height of 6 m, a length of 5 m, and a width of 4 m. Give the dimensions of a SECOND rectangular prism that will have the same surface area of the first one.
Pls dont look up the question and copy and paste the same answer either
if you do i will report you
if anyone is wondering why im so "pressed' I've had LOTS of issues with arrogant people
Thanks!
PLS DON'T ASK FOR BRAINILEST UNLESS YOU TAKE YOUR TIME AND ACTUALLY DO THE QUESTION PLEASE :((((
Answer:
The surface area is 148
Step-by-step explanation:
Soooo i had to look up how to do it cause i completely forgot how. But once i did, i worked it out.
The formula i got was: A= 2(wl+hl+hw)
W= width h= height l= length
From there i just replaced the corresponding numbers for the letters that represent them. (think of that as like you see someone that you think represents you and you try to replace them, with you. Same here just w/ numbers and letters)
A= 2 [ (4x5) + (6x5) + (6x4) ]
from here you do order of operations starting with what's inside the parentheses. Then you work your way out.
A= 2 [20+ 30+ 24]
A= 2 [74]
Anytime a number is next to parentheses or brackets (which are these: [ ] ) you multiply what is outside them by what's inside them. (for this think about kids. When you seperate them, they try to make more noise. When you seperate numbers, they multiply)
Final answer is
A= 148
if this is wrong i am so, so, so sorry. I hope this helps, and i hope you have an amazing day!! Be tiger fierce! :)
A length of 5.3, a width of 7, and a height of 3. This would give you the same surface area of 148 as the 1st one. Good luck with your studies <3
[tex] - 4 \leqslant 5x + 1 < 11[/tex]
i don't know how to slove it,please answer it
Find the answers please?
Answer:
<1 and <5 by the corresponding angles theorem
Answer:
1. corresponding angles theorem, 2. linear pair postulate, 3. definition of supplementary angles (I am not a %100 sure on number 3 though)
Step-by-step explanation:
A bucket holds 10 liters of water. If a ladle can scoop out of a 1/2 liter, how many scoops will it take to
empty the bucket?
Answer:
73899
Step-by-step explanation:
Answer: It's 20 scoops
Log (x+1)=5
Please help I need to finish this can you please show the steps
90 / 811 = 58 / x
Answer the porportion
Answer:
x = 522.64
Step-by-step explanation:
cross-multiply:
90x = 811(58)
90x = 47,038
x = 47038 / 90
x = 522.64
Answer please. will give b brainliest for correct answer
Answer:
x = 51.3°
Step-by-step explanation:
Hope this helped!
Sam put 3000 into saving it earned 6% simple interest annually after 6 years how much will Sam have
Answer:
the future value is 4,080
Step-by-step explanation:
The computation of the future value under the simple interest is shown below:
As we know that
Future value = Present value × (1 + rate of interest × time period)
= 3,000 × (1 + 6 × 6%)
= 3,000 × (1 + 0.36)
= 3,000 × 1.36
= 4,080
Hence, the future value is 4,080