Answer:
height: 125m; distance: 500m
Step-by-step explanation:
x = 250
f(x) = x − 0.002x2
f(x) = 250 − 0.002(250 )2
= 250 − 0.002(62,500)
= 250 − 125
= 125
250 times 2 = 500
[tex]\\ \rm\rightarrowtail y=x-0.002x^2[/tex]
So
Put 250[tex]\\ \rm\rightarrowtail y=250-0.002(250)^2[/tex]
[tex]\\ \rm\rightarrowtail y=250-0.002(62500)[/tex]
[tex]\\ \rm\rightarrowtail y=250-125[/tex]
[tex]\\ \rm\rightarrowtail y=125m[/tex]
This is max heightDistance:-
2×height2×125500m
In 2010 Elmbrook Middle School had 100 students in the eighth grade. In 2011 the number of eighth
graders decreased by 10%. The 2012 eighth grade Class increased in size by 10% from 2011. How many
eighth grade students were enrolled at Elmbrook Middle School in 2011
Answer:
90 students
Step-by-step explanation:
So, if you have 100 students to start and it decreases by 10% then take the 100 and multiply it by .10. You should get 10. Then, subtract 10 from 100 and you end up with 90.
Answer:
hello
2010 = 100 students
2011 = 100 x 0.9 = 90
2012 = 90 x 1.1 = 99
Step-by-step explanation:
A 10 inch candle burns at a rate of 1.2 inches an hour. How many hours mess the candle burn until it is less than 1 inch tall
There are 132 sixth-grade students who play basketball, lacrosse, or tennis.
33 students play lacrosse
25% of students play tennis
How many students play basketball?
A 86
B 74
C 72
D 66
Answer:
66
Step-by-step explanation:
Lacrosse: 33
Tennis: 33
0.25 x 132 = 33
Basket ball:?
33 + 33 + b = 132
66 + b = 132
132 - 66 = 66
b = 66
Have a great day!
Please rate and mark brainliest!!
Answer:
D. 66
Step-by-step explanation:
Total number of students = 132
If 25% of 132 students play tennis:
⇒ 0.25 × 132 = 33
So 33 students play tennis
Number of students who play basketball is: total number of students minus students play tennis minus students play lacrosse:
= basketball = 132 - 33 - 33 = 66
The amount of time it takes for water to flow down a drainage
pipe is inversely proportional to the square of the radius of the
pipe. If a pipe of radius 1 cm can empty a sink in 22 seconds,
find the radius of the pipe that would allow the sink to drain
completely in 14 seconds.
PLEASE ANSWER FAST!
Using the proportional relationship, it is found that the radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality.
If they are inverse proportional, the relationship is:
[tex]y = \frac{k}{x}[/tex]
In this problem, the amount of time is inversely proportional to the square of the radius of the pipe, hence:
[tex]t = \frac{k}{r^2}[/tex]
A pipe of radius 1 cm can empty a sink in 22 seconds, hence k = 22.
The radius for 14 seconds is:
[tex]t = \frac{k}{r^2}[/tex]
[tex]14 = \frac{22}{r^2}[/tex]
[tex]r^2 = \frac{22}{14}[/tex]
[tex]r = \sqrt{\frac{22}{14}}[/tex]
[tex]r = 1.25[/tex]
The radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
More can be learned about proportional relationships at https://brainly.com/question/25890103
A total of 275 people took a driving theory test on Monday. Of these people, 68% passed the test.
a) (i) What percentage of people who took the test on Monday did not pass the test?
(ii) How many of the 275 people who took the test on Monday passed the test?
Answer:
a. 32%
B.8B.88
Step-by-step explanation:
100 -68=32%
32/100=x/275
100x=8800
x=88
van brought a 16 pound bag of dog food .hos dog ate 2/3 of the food. how many pounds of dog food did the dog eat
Answer:
10.66
Step-by-step explanation:
16/3 = 5.3
5.3 x 2 = 10.66
Have an amazing day!
Please rate and mark brainliest!
Find the solution of the system of equations.
- 3x + 4y = 12
2.x + 2y = -22
Answer:
x = -8
y = -3
Step-by-step explanation:
So first you're going to want to get x or y by itself using elimination or substitution. I used elimination to get x by itself.
You can multiply the second equation (2x + 2y = -22) by -2 so you can eliminate the y's. When you multiply it, you get -4x - 4y = 44
Then, you can add -3x + 4y = 12 and -4x - 4y = 44. The y's cancel out to leave -7x = 56. Divide both sides by -7 to get x = -8.
Now, you can plug in -8 for x in either one of the equations. I plugged it into the second equation to make it 2(-8) + 2y = -22.
2 · -8 = -16.
-16 + 2y = -22. Add 16 to both sides to get 2y = -6. Divide both sides by to get y = -3.
Hope this helps! :)
Find the volume of the cylinder. round to the nearest tenth.
Answer:
3217.00
Step-by-step explanation:
V=πr^2h=π·8^2·16≈3216.99088
Answer:
804.2 or 803.8
Step-by-step explanation:
volume = π · r2 · h
π · [tex]4^{2}[/tex] · 16 = 804.2
3.14 · [tex]4^{2}[/tex] · 16 = 803.8
what is the 100th term in the sequence a¹= 222 and d= -5
The 100th term of the sequence is -273
Arithmetic sequenceArithmetic sequence is one derived from addition/subtraction of a constant term to find the next term. the constant term is usually called the common difference
first term a = 222
common difference, d = -5
nth term of an Arithmetic sequence. Tn = a + ( n - 1 ) d
T100 = a + ( 100 - 1 ) d
T100 = 222 + 99 * -5
T100 = -273
Read more on Arithmetic sequence here:
https://brainly.com/question/7882626
can someone plssss help
manipulating algebraic fractions
Answer:
the answer is 5x divide by 12
PLEASE HELP ME!!! 30 points to the first person that can answer!
The area of a triangle is 225 square feet. The height of the triangle is half of its base. How many feet is the base?
Answer:
The base is equal to 30
And the Hight is equal to 15
Step-by-step explanation:
30 * 15 ÷2 = 225
261%57 PLEASE HELP (brainlyist) PLEASE HURRY
Answer:
4.57894737
Step-by-step explanation:
261 divided by 57 = 4.57894737
or 4.6 to 1 decimal place
If you need further explanation, let me know!
-profparis
Answer: 4.57894736842
Harold randomly selected one square tile and one round tile from the sets shown below. what is the probability that harold selected a pink square tile, and either a red or a blue round tile? square tiles: 20 green, 16 pink, 9 red, 10 yellow, 5 blue.round tiles: 5 black, 4 pink, 9 red, 6 blue, 3 yellow, 8 green, 1 white. a. 3/5 b. 14/60 c. 1/9 d. 4/45
The probability that Harold selected a pink square tile, and either a red or a blue round tile is 1/9.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Considering the selections are independent, their combined probability is the product of the probabilities of the individual events.
P(pink square) = (pink squares) / (squares) = 16/60 = 4/15
P(red or blue round) = (red or blue rounds) / ( rounds) = 15/36
Then, the Total probability
P(E) = (4/15)(15/36)
P(E) = 4/36
P(E) = 1/9
So, the probability that Harold selected a pink square tile, and either a red or a blue round tile is 1/9.
Learn more about probability here;
https://brainly.com/question/3591413
Answer:
Harold randomly selected one square tile and one round tile from the sets shown below. What is the probability that Harold selected a pink square tile, and either a red or a blue round tile?
Square tiles: 20 green, 16 pink, 9 red, 10 yellow, 5 blue.Round tiles: 5 black, 4 pink, 9 red, 6 blue, 3 yellow, 8 green, 1 white.
a.
3/5
b.
14/60
c.1/9 <<<CORRECTd.
4/45
Step-by-step explanation:
Edge 2022
Part A
The maximum angle of elevation for a ramp designed to be safe for a motorized wheelchair is 7.1°.
Is the ramp at the local library safe for motorized wheelchairs? Explain your answer.
Answer: Not safe
Step-by-step explanation:
Let the angle of elevation of the ramp be θ, then:
[tex]\begin{aligned}&\sin \theta=\frac{1.5}{10}=0.15 \\&\theta=\sin ^{-1}(0.15) \approx 8.63^{\circ}\end{aligned}[/tex]
But the maximum angle for the ramp cannot exceed 7.1°. The calculated angle of elevation will make it difficult, if not impossible, for motorized wheelchairs to get up the ramp.
Therefore, the ramp at the local library is not safe for motorized wheelchairs
Using GEMDAS, what is the simplified form of this expression?
63 x 4 = 2x2=3 - 17
what’s the lengths of the sides using pythagoras
Answer:
height and the base your take height you square it then you square the base then you -
Select the expression equivalent to (4.5x + 3.1) - (-3x - 5).
a
7.5x + 1.9
b
7.5x - 1.9
7.5x + 8.1
d.
7.7x - 1.9
Answer:
Option C :- 7.5x + 8.1
Step-by-step explanation:
Let's simplify step-by-step.
4.5x+3.1−(−3x−5)
Distribute the Negative Sign:
=4.5x+3.1+−1(−3x−5)
=4.5x+3.1+−1(−3x)+(−1)(−5)
=4.5x+3.1+3x+5
Combine Like Terms:
=4.5x+3.1+3x+5
=(4.5x+3x)+(3.1+5)
=7.5x+8.1
Answer:
=7.5x+8.1
Abigail had a fish tank that was in the shape of a box. The dimensions were 12 inches deep by 24 inches wide by 18 inches tall. How many cubic inches of water will it take to completely fill the tank?
Show your work
Mr. Ramirez made 5 sandwiches. He cut each sandwich in half. How many half sandwiches does he have?
Answer:
10
Step-by-step explanation:
If you cut each sandwich in half and count how many halves there are, you are essentially multiplying it by 2. 5 times 2 is 10. Therefore, your answer is 10. Hope this helps:)
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP THANKS
For the first question it's 52.99 cm^3 because the formula for volume of a cylinder is V=πr^2h.
The second question is 722.57 or 722 cm^2 because the formula for surface area is A=2πrh+2πr^2.
hope it helps!
Answer:
For question 3: 52.9875 cm^3 or 52.99 cm^3.
For question 4: 1,413 cm^3.
Step-by-step explanation: To find the volume of a cylinder, you need the area of the base times the height. We don't have the area of the base, but we can find out by using the formula 3.14 x r^2 where r is the radius, which is 1.5 for question 3 and 5 for question 4. It should look like this:
For question 3: 3.14 x 1.5^2 = 7.065.
For question 4: 3.14 x 5^2 = 78.5.
When you find the area of the base, you multiply it by the height, which is 7.5 for question 3 and 18 for question 4. It should look like this:
For question 3: 7.065 x 7.5 = 52.9875 or 52.99.
For question 4: 78.5 x 18 = 1,413.
Therefore, 52.9875 cm^3 or 52.99 cm^3 is your answer for question 3 and 1,413 cm^3 is your answer for question 4.
Let me know if this is right! :)
Each season a baseball pitcher records the number of strikeouts he throws. The sequence below
represents his strikeouts for the first five seasons in the league.
147, 154, 161, 168, 175 If this pattern continues, what explicit formula could be used to determine f(n), the number of
strikeouts he throws during his n th season?
a. f(n) = 147 + 7n
b. f) = 140 + 7)
c. f(n) = 147n + 7
d. f(n) = 140n + 7
Answer:
make the n in side and join together
Which of the following is a defined term?
Angle
Line
Point
Plane
Answer:
C. Point is a defined term
Step-by-step explanation:
kleann
Point c is the center of dilation. line segment b a is dilated to create line segment b prime a prime. the length of c a is 4. the length of a a prime is 16. what is the scale factor of the dilation of line segment ba? one-fifth one-fourth 4 5
The scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
Point c is the center of dilation. Line segment BA is dilated to create line segment b prime, a prime. The image of the given problem is attached below. The length of CA is 4.
[tex]CA=4[/tex]
The length of a prime is 16.
[tex]AA'=16[/tex]
The new dimension will be,
[tex]CA'=CA+AA'\\CA'=4+16\\CA'=20[/tex]
Now, the scale factor is the ratio of the new dimension to the original dimension. Thus, the scale factor of the dilation is,
[tex]r=\dfrac{20}{4}\\r=5[/tex]
This will be the same for the line segment BA. Thus, the scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.
Learn more about the dilation of the figure here;
https://brainly.com/question/3457976
Answer:
the answer is 5
Step-by-step explanation:
D
Which of the following is not an exponential function?
Answer:
B. y = 5x-1
Step-by-step explanation:
B. y = 5x-1 is not an exponential function.
what equation is the following graph
Answer:
y = -1/2x + 1
Step-by-step explanation:
We find slope using rise-over-run and by counting I got 1/2 but the slope is also negative. The y-intercept is 1 because the points are counting by 1/2 and the line goes through where half of 2 is on the y-axis. Hope this helps!
Derive the equation of the line that goes through (−3, 1) and (0, −5).
A
y=−2x
B
y=2x−5
C
y= −2x−5
D
y=2x+5
Answer:
C) y = -2x - 5
Step-by-step explanation:
[tex]\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)[/tex]
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2[/tex]
Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-1=-2(x-(-3))[/tex]
[tex]\sf \implies y=-2x-5[/tex]
Slope:-
m=-6/3=-2Equation in point slope form
y-1=-2(x+3)y-1=-2x-6y=-2x-5Please Help I Don't Understand. Thank You!
Answer:
140
Step-by-step explanation:
5t + 10 = 4t + 22
t + 10 = 22
t = 12
5(12) + 10 = 70
4(12)+ 22 = 70
70 + 70 = 140
CP + PK = CK
Edit:
I'm not sure if the solution is correct , but there is at least something.
Now
CK
CP+PK5t+10+4t+229t+329(12)+32108+32140find the percentage profit in each case cost price 500 selling price 550
Answer:
0.1 or 10%
Step-by-step explanation:
Cost: 500
Sell: 550
550-500 = 50
50/500 = 0.1 OR 10%
Therefore, the percentage profit for each sale is 10% of the original wholesale price.
Answer:
10%
Step-by-step explanation:
profit=buyingpirce _selling price
550_500=50
%profit=profit\buyingprice×100
50\500×100=10%
HELPP!! DUE TONIGHT!! I need answers for A, B, C, and D including the domains of each.
Answer:
[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]
Step-by-step explanation:
Given function:
[tex]\sf f[g(x)]=\dfrac{-6+23}{7x-16}[/tex]
The domain will be values of x that do NOT make the denominator zero:
[tex]\sf \implies 7x-16=0[/tex]
[tex]\sf \implies 7x=16[/tex]
[tex]\sf \implies x=\dfrac{16}{7}[/tex]
Therefore, the domain is [tex]\sf x\neq \dfrac{16}{7}[/tex] so
[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]
A square with side length s has an area of 324 square centimeters. This equation shows the area of the square ^{s^2}is 324
Answer:
s^2 = 324 would mean side length s = 18
Step-by-step explanation:
The square root of 324 would be 18.
A square with side length s has an area of 324 square centimeters. So, the side of the square is 18cm
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = [tex]side^2[/tex]
A square with side length s has an area of 324 square centimeters.
The area of a square = [tex]side^2[/tex]
then s = √324
=18
Thus, the side of the square is 18cm
Learn more about the area;
https://brainly.com/question/11952845