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Explanation:
We're told that 1 square foot is 144 square inches (this is from 12*12 = 144, since 12 inches = 1 ft).
So because of this, 360 square feet converts to 360*144 = 51,840 square inches.
One gallon of paint can cover 51,840 square inches.
Now let's find the surface area of the sphere, aka ball.
It has a radius of r = 4.75 inches, so,
SA = 4*pi*r^2
SA = 4*pi*(4.75)^2
SA = 90.25pi
SA = 283.528736986479 which is approximate
The surface area of one ball is roughly 283.528736986479 square inches.
Divide the amount of area the paint can cover over the surface area of one basketball:
(51,840)/(283.528736986479) = 182.838609415709
This rounds down to 182. We round down because we won't have enough paint to cover the 183rd basketball.
One gallon of paint can cover 182 basketballs.
Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.
Given:
Consider the given function is:
[tex]f(x)=x^2-8x+13[/tex]
To find:
The average rate of change of the function over the interval [tex]-1\leq x\leq 6[/tex].
Solution:
The average rate of change of the function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
We have,
[tex]f(x)=x^2-8x+13[/tex]
At [tex]x=-1[/tex],
[tex]f(-1)=(-1)^2-8(-1)+13[/tex]
[tex]f(-1)=1+8+13[/tex]
[tex]f(-1)=22[/tex]
At [tex]x=6[/tex],
[tex]f(6)=(6)^2-8(6)+13[/tex]
[tex]f(6)=36-48+13[/tex]
[tex]f(6)=1[/tex]
Now, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is:
[tex]m=\dfrac{f(6)-f(-1)}{6-(-1)}[/tex]
[tex]m=\dfrac{1-22}{7}[/tex]
[tex]m=\dfrac{-21}{7}[/tex]
[tex]m=-3[/tex]
Therefore, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is -3.
Plz help will mark brainliest
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Answer:
Step-by-step explanation:
Answer:
x=-5, y= 52
x=-1, y= 12
x=0, y= 2
x=1, y= -8
Lucy Liu went shopping at Hollister with her friends together they spent a mean price of $40 on eight sweaters the first step and sweaters cost $50 $55 $30 $35 $39 $40 and $42 how much in dollars does the eighth sweater cost
Answer:he eighth sweater costs $29
Step-by-step explanation:
Let the price of the eighth sweater be re[presented as X
We know that
Mean Price =Total sum of cost of sweater bought/ Number of sweater'
Plugging in our known values we have that
40=$50+ $55+ $30+ $35+ $39+ $40 + $42+X /8
8 X 40 =291 +X
320=291 +X
X =320-291
X=29
Therefore, the eighth sweater costs $29
Answer: 29
Step-by-step explanation:
I got a question and im anwsering here bc i want the points either way how is this a high school question im in 6th this is a hw problem
HELP PLS
have this math assignment due in an hour
The students put recycling bins for cans and bottles in the cafeteria and teaches lounge. At the end of last week, there was a total of 48.9 pounds of cans and bottles. They split them evenly into 3 bags. How many pounds were in each bag?
Answer:
16.3
Step-by-step explanation:
There was a total of 48.9 pounds of cans and bottles
They were split evenly in 3 bags
Hence the number of each pounds in the bag can be calculated as follows
= 48.9/3
= 16.3
Hence 16.3 pounds are found in each bags
Compare using >is greater than, 2/3 or 9/12
Answer:
Step-by-step explanation:
i dont know what ur asking but
9/12 > 2/3
A space ship traveled from the earth
to the moon in 248 hours. How fast did it travel?
how to solve (2^3)^4
Answer: 2^12
Step-by-step explanation:
Answer: 4096
Step-by-step explanation:
NOTE: Angles not necessarily drawn to scale.
what is 6÷2 squaredwhat is 6 ÷ 2 squared
Answer:
(6/2)² = 3² = 9
6²/2² = 36/4 = 9
Answer:
9
Step-by-step explanation:
6/2 is 3
squaring three we get 3 to the power of two or 3x3
3x3=9
3 squared is 9
Lee is selling spirit wear for a
fundraiser. Hats cost $8 and shirts cost $12. Lee sold $272 worth of spirit wear in the first month. If Lee sold a total of
28 items, how many hats did Lee sell?
Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees. What is the measure of arc Q R? 26° 52° 104° 128°
Answer:
104 degrees'
Step-by-step explanation:
Find the diagram attached
According to the theorem;
Angle at the vertex is half the angle at its intercepted arc
Given
Angle at the vertex = 52 degrees
Angle at the intercepted arc = arc QR
Hence;
52 = 1/2 arcQR
Cross multiply
52 * 2 = arcQR
104 = arc QR
Swap
arc QR = 104 degrees'
Answer:
C)104
Step-by-step explanation:
edg 2021
12 + x/4 = 9
Simplify Plz need ASAP
Answer: X = -12
Step-by-step explanation: 1) 12 + x/4 = 9
2) 12 + x/ 2^2 = 9
3) x/ 2^2 + 12 = 9
PLEASE HELP
TIMED!!!
For function Limit of h (x) as x approaches c minus = negative infinity and limit of h (x) as x approaches c plus = infinity. Which statement describes the existence of an asymptote at c?
Answer:
A. there must be a vertical asymptote at x=c
Step-by-step explanation:
Answer: A
Step-by-step explanation:
got it right edge 2022
A tank contained 80 liters of water. The function “w” represents the relationship between “t”, time in minutes, and the amount of water in the tank in liters. The equation w(t) = 80 - 2.8t defines this function. How would the graph of the inverse function of compare to the graph of “w”? PLEASE HELP!!
w(t) tells you the amount of water w at a given time t.
The inverse function tells you at which time t the tank contains an amount of water w.
To get the inverse function, solve the equation
w = 80 - 2.8t
for t :
w = 80 - 2.8t
2.8t = 80 - w
t = (80 - w) / 2.8
t ≈ 28.57 - 0.357 w
The graph of w(t) is a downward-sloping line. The graph of the inverse is also a downward-sloping line, but its intercept (28.57) and slope (-0.357) are both smaller than the intercept and slope of w(t).
answers are
126in cubed
377in cubed
565in cubed
1131in cubed
126
Step-by-step explanation:
hdhfgdhdgdhdhrgdgdgdhdgdhdhdh
what is the area of 12 inches and 9 inches?
Answer:
i believe the area would be: 108
Step-by-step explanation:
you would multiply the numbers ( 12 x 9 = 108)
= 108 in
~ i rlly hope this is correct and has helped you in any way, have a gr8 day/night my friend!~
Answer:
area is 180
Step-by-step explanation:
can somebody please answer this. I will give brainliest answer.
Answer:
121.21 people per square mile
Step-by-step explanation:
area = 1/2(12 + 21)(14) = 231 mi²
28,000/231 = 121.21 people per square mile
Pls help And explain!!
Find the numbers between 1 and 50 that
are even, multiples of 6 and when divided
by 5 have a remainder of 2.
and
Answer:
12
Step-by-step explanation:
Divide 12 by 5 to get about 2 as the remainder. 12 is also a multiple of 6!
I hope this helps! Can you please mark brainliest!
11. Which is an equation of the circle whose center is
(5,1) and whose radius is 3?
A. (x + 5)2 + (y 1)2 = 9
B. (x + 5)2 + (y 1)2 = 3
C. (x 5)2 + (y + 1)2 = 9
D. (x 5)2 + (y + 1)2 = 3
Can you slove this 6=2(y+2)
Answer:
y=1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6=2(y+2)
6=(2)(y)+(2)(2)(Distribute)
6=2y+4
Step 2: Flip the equation.
2y+4=6
Step 3: Subtract 4 from both sides.
2y+4−4=6−4
2y=2
Step 4: Divide both sides by 2.
2y/2 2/2
Simplify the expression.
-10a -
3a
Answer:
-13a
Step-by-step explanation:
they are like terms so it means they will add each other giving you -13a
:)
Answer:
-13a
Step-by-step explanation:
-10a-3a=13a
hope it helps.
An airplane is flying at 5,000 ft above sea level. A submarine is1,200 feet below sea level. What is the vertical distance between the plane and the submarine?
Answer:
6200 m
Step-by-step explanation:
5000-(-1200)=5000+1200=6200 m
Answer:
the picture answer is 8 km
Step-by-step explanation: im not sure where u got the question from but the pitcure answer is 8 km because one cube means 2 km and there are 4 cubes in total making 4 times 2 be 8 km away
The ratio of black beads to green beads is 10:3.
If there is 50 black beads, how many green beads
are there?
Which of the following shows the sample space for spinning the spinner one time?
Answer:
There are two colors and 8 numbers.
One color is represented by 3 numbers 2, 3, 7
The second color is represented by 5 numbers 1, 4, 5, 6, 8
P(color 1) = 3/8P(color 2) = 5/8Which graph represents a positive correlation?
Answer:Your answer is C
Step-by-step explanation:
Which property explains why these two expressions are equal?
(w+ 2/3) + 5 = w + (2/3 + 5)
A)
associative
B)
commutative
C)
distributive
D)
transverse
help in need help and plz dont give me a website plz
Answer:
u = 7
Step-by-step explanation:
In a parallelogram, GI = GK so:
u + 28 = 5u
4u = 28
u = 7
in the year 2001, a person bought a new car for $22000. for each consecutive year after that, the value of the car depreciated by 5%. how much would the car be worth in the year 2005, to the nearest hundred dollars
Answer:
To the nearest hundred dollars, the car will be worth $17,900 by 2005
Step-by-step explanation:
Firstly, we need to write the depreciation equation
We have this as:
V = I(1 - r)^t
V is the present value which is what we want to calculate
I is the initial value, the amount the cad was bought which is $22,000
r is the rate of change which is 5% = 5/100 = 0.05
t is the time difference which is 2005-2001 = 4
Substituting all these into the depreciation equation, we have it that
V = 22,000(1 -0.05)^4
V = $17,919.1375
To the nearest hundred dollars, that would be;
$17,900