Answer:
[tex](24\pi x^2-10\pi x-4\pi)[/tex] square centimeters
Explanation:
Let
[tex]r=\text{radius of the cylinder}=3x-2 < br/ >[/tex]
[tex]h=\text{height of the cylinder}=x+3[/tex]
Then the surface area of the cylinder is given by
[tex]A=2\pi r^2+2\pi rh[/tex]
[tex]=2\pi r(r+h)[/tex]
[tex]=2\pi (3x-2)((3x-2)+(x+3))[/tex]
[tex]=2\pi (3x-2)(4x+1)[/tex]
[tex]=2\pi(12x^2-5x-2)[/tex]
[tex]\boxed{A=(24\pi x^2-10\pi x-4\pi )cm^2}[/tex]
Use equivalent fractions to order these fractions from least to greatest: 2 over 3 , 1 over 2, 4 over 12, 5 over 6 . Explain the steps you took to find your answer.
Answer:
so u take 4/12 and do it to 1/3 then try to do lest to greatest
Step-by-step expla
2/3 5/6 1/2 1/3 try
Solve the word problem below
what is the surface area
Answer:
75 cm^3
Step-by-step explanation:
The small prism is 3x smaller than the large prism (look at lengths given).
Thus, as the surface area of the small prism is 25 cm^3 the larger prism will be 3x as much surface area.
25 x 3 = 75
Therefore, the surface area will be 75 cm^3.
Answer: 225
Step-by-step explanation:
9 x 25 I believe I’m so sorry if it’s wrong but the s2 should be the long side
A startup software company’s total investment for the first two years is $24,894. Write and solve an equation to find the investment for the second year if the first year’s investment is $12,955.
Answer:x=9689
Step-by-step explanation:based on given conitions,formulate:13205+x=22894
Answer:
12,955 + x = 24,894
x = 11,939
Choose one point on the scatterplot. What does it represent?
What type of data is best for scatter plots? please don't give a short once sentence explanation
Answer:
decrease
Step-by-step explanation:
this graph is showing a decorative response to whatever content.
Solve for x.
A) 30
B) 45
C) 60
D) 90
50 POINTS PLS HELP AND BRAINLIEST
What is likely to have a mass close to 3 kilograms
A. 5-year-old-child
B. A Bowling ball
C. A lemon
D. A lion
B. A Bowling ball
3 kilograms is approximately 7 pounds, the weight of most Bowling balls
B. A Bowling ball
Step-by-step explanation:
Options A and D are most likely to weigh more than 3kg and option C will most likely weigh less but option B can weigh up to 3kg
Saturn's moon, Titan, has a radius of 2575 kilometers, which is covered by a 600-kilometer atmosphere. How much of the moon's volume is atmospheric haze?
Answer:
approximately 4.57 × 10^10 km^3 of Titan's moon is atmospheric haze.
Step-by-step explanation:
The answer is about [tex]4.57[/tex] × [tex]10^1^0[/tex] [tex]km^3[/tex] of the titan moons atmospheric haze.
Step-by-step explanation:
I did the test and got it right
hope this helps :)
pls help again with these chapes
Four swimmers are training for a relay race. Each day they practice by swimming at least 1,600 yards total. The friends evenly divide the number of yards they swim.
Write and solve an inequality to determine how many yards each friend will swim. Show all your work.
Solve the word problem below
Answer:
View the image above
Step-by-step explanation:
Distance = 60 miles per hour
Time = ?
Distance = 150
Time = 2/120 × 150 = 2.5
Solve the rest!
Have a nice day!!!
Mrs. Irons places the names of each of her four children in a hat at one time. She randomly draws a name, places it back in the hat, and draws again. The results are shown in the table below.
What is the experimental probability of selecting the name Alex?
Answer:
As a Fraction : 4/10
As a Decimal : 0.4
Could someone please help me
Answer: Answer:
Step-by-step explanation: Step-by-step explanation:
ANSWER? PLSSSSSSSSSSSSSSSSSSS
Answer: I might be wrong, but I think its just $53.50
Honors Refresher Quiz #8 1. If a figure is dilated by a scale factor of 12, the area of the figure will change by a factor of
Answer:144
Step-by-step explanation:
When area is dilated you have to multiply the dialation factor by itself, in this case (12 x 12)
Marvin was in charge of ordering sodas for the class fundraiser. He made a circle graph to show the number of each size of soda. However, he accidently put his work in the graph showing the degree measures he used to make the chart instead of the number of sodas he needed and he threw away his original paper showing the number of each. Help him figure out how many of each size of soda he needs to order by answering the questions below. (Hint: There are 360 degrees total in a full circle.)
Answer:
for a: small=17% medium=38% large=33% extra large=13%
Step-by-step explanation:
How can we use the distributive property to find an expression equivalent to 4(5−3x)
? Place the steps in order.
Answer:
Multiply 4 by 5 and 4 by 3x
Step-by-step explanation:
4 ( 5 -3x ) =
4 x 5 + (4)(-3x)
Answer:
4(5-3x)
4(5) -4(3x)
20-12x
he number line shows the solution set of which inequality?
A horizontal number line is labeled from 51 to 52. There is a closed circle at 51.52, and the number line is shaded to the right of 51.52.
A. j/4.6 > 11.2
B. j/1.5 > 16.3
C. j/12.7 > 19.6
D. j/1.4 > 1.1
80 points ★ plsss answer these worded problems !!
★ / mrs . green has 8.25 cups of flour for her cooking class. Hector uses 3.75 cups of flour to bake cookies . how much flour is left ?
★ / mr . trang bought 15.5 ft of rope to make a swing . after making the swing , 3.375 ft of rope are left . how much rope did mr . trang use in the swing ?
★ / a street sign is attached to a 92.75 in long pole . the pole is buried 24.25 inches below ground . whats the length of the pole above ground ?
★ / kim lip ( haha ) filled a pitcher with 259/12 [fraction] ounces of water . She
spilled 0.25 ounce when she placed the pitcher on the
table . how much water is left in the pitcher ?
★ / travis is swimming 3.25 feet below the surface of the
water . connor is swimming 5.75 feet below the surface
of the water. how far apart are travis and connor ?
Answer:
1: 4.5 cups of flour
2: 12.125 ft of rope
3: 68.5 inches above ground
4: 21.3333..... ounces of water
5: 2.5 ft below the surface
Step-by-step explanation:
1: 8.25-3.75=4.5
2: 15.5-3.375=12.125
3: 92.75-24.25=68.5
4: (259÷12)-.25=21.33333.....
5: 5.75-3.25=2.5
Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1/2 times her hourly pay rate for time she works over 8 hours each day. Rita′s work day for Monday is described in the list. worked from 8:00 a.m. to 12:00 p.m. took a 30-minute lunch break worked until 6:00 p.m. Rita does not get paid for her lunch break. How much money did Rita earn for the time she worked on Monday? Show or explain all of the steps you used to determine your answer.]
Answer: $158
Step-by-step explanation:
$16(8) + $24(1 ¼) = $128 + $30 = $158
Rita earned a Total of $196 for the time she worked on Monday.
To determine how much money Rita earned for the time she worked on Monday, we need to calculate her earnings for each portion of the day separately.
1. From 8:00 a.m. to 12:00 p.m. (4 hours):
Rita worked for 4 hours within the first 8 hours, so she earns her regular rate of $16 per hour for this time:
Earnings = 4 hours * $16/hour = $64.
2. From 12:30 p.m. to 6:00 p.m. (5.5 hours):
Rita worked for 5.5 hours beyond the initial 8 hours, so she earns 1.5 times her regular rate for each of these hours:
Earnings = 5.5 hours * ($16/hour * 1.5) = $132.
Now, we can sum up Rita's earnings for both periods:
Total earnings = Earnings from the first period + Earnings from the second period
Total earnings = $64 + $132
Total earnings = $196.
Therefore, Rita earned a total of $196 for the time she worked on Monday.
For more questions on Total .
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Drag each expression to show whether it is equivalent to 36x+9
or 9(4x−1)
.
What's the median for these set of numbers and do it step by step explanation. 3,2,3,4,3,5,7,5,4
What changes would you make to solve any problems you might have in your society?
Triangle ABC is a scale drawing of Triangle XYZ, as shown.
Based on the information shown in these triangles, which of the following is a true statement?
A) The length of side XZ is 11.5.
B) The length of side XZ is 28.
C) The measure of angle A is equal to the measure of angle Z.
D) The measure of angle A is not equal to any of the angle measures of Triangle XYZ.
Help asap!!! Easy math!!! Offering brainiest!!!
Answer:
64
27
6
15
Step-by-step explanation:
64 is a cube and is even,
27 is a cube and not even,
6 is not a cube and is even,
and finally 15 is a not a cube and is not even,
HELPPPPPPPP
If f(x) = 2x - 5, then f(4) is _____.
17
3
4
5
If f(a) = 3a – a2, which of the following are not true statements?
Select all that apply.
f(-5) = -40
f(4) = -4
f(-1) = 2
f(0) = 3
f(3) = 0
Answer:
1st is 3, 2nd i didnt learn this sorry
Step-by-step explanation:
F(4)=2(4)-5
f(4)=8-5
So, f(4) =3
Can someone help?- I will mark brainliest !!
Could someone help me fast
Answer:
A movie is $2.5
A video game is $6
Step-by-step explanation:
Pre-SolvingWe are given that Ann had rented 2 movies and 5 video games for a total of $35.
We also know that she also rented 8 movies and 3 video games for a total of $38.
We want to know how much a movie costs, and how much a video game costs.
If a movie costs x dollars, then a video game costs y dollars.
This means that costwise, 2 movies will cost 2x, and 5 video games will be 5y.
8 movies will cost 8x, and 3 video games will cost 3y.
So, we will have two equations:
2x + 5y = 35
8x + 3y = 38
We now have this system of equations, which we can solve.
Let's solve this by elimination.
To eliminate, we need to clear one of the variables, and solve for the other one.
To do this, we need to make sure that one variable has the same coefficient with opposite signs (e.g. -3x and 3x). We might need to multiply one equation by a number in order to achieve this.
We can multiply 2x + 5y = 35 by -4.
-4(2x + 5y) = -4(35)
-8x - 20y = -140
We can rewrite the equations:
-8x - 20y = -140
8x + 3y = 38
They can be added together. The result will be:
-17y = -102
Divide both sides by 017.
y = 6
We found y, but now we need to find x.
We can substitute 6 as y into 2x + 5y = 35 or 8x + 3y = 38 to find x.
Taking 2x + 5y = 35 for instance:
2x + 5(6) = 35
2x + 30 = 35
Subtract 30 from both sides.
2x = 5
Divide both sides by 2
x = 2.5
Recall that x = price of a movie, and y = price of a video game.
Therefore, a movie is 2.5 dollars, and a video game is 6 dollars.
What are the coordinates of the image of (1, 3), where R(−3, 5) is the center of dilation with scale factor 0.5?
PLS ANSWER QUICK
Answer:
the coordinates of the image D are (-1, 4)
Step-by-step explanation:
To find the coordinates of the image D, we need to apply the dilation transformation centered at R(-3, 5). Let the scale factor be k.
The x-coordinate of D will be shifted k times the distance between 1 and -3, which is 4 units, from the x-coordinate of R, which is -3. So we have:
0.5 = -3 + k(4)
Solving for k, we get:
k = 1.375
Similarly, the y-coordinate of D will be shifted k times the distance between 3 and 5, which is 2 units, from the y-coordinate of R, which is 5. So we have
R: (x, y) = (-3, 5)
D: (x, y) = (-3 + 1.375(1 - (-3)), 5 + 1.375(3 - 5))
D: (x, y) = (-1, 4)
Therefore, the coordinates of the image D are (-1, 4), which is option D.