Answer:
B. 20πb³ + 12πb²
Step-by-step explanation:
The equation for the volume is incorrect, the volume of a cylinder with radius (r), and height (h), is πr²h.
The volume of the cylinder in terms of[tex]20\pi b^3 + 12\pi b^2[/tex]. Option B is correct.
A cylinder is a three-dimensional figure with two bases that are joined with a curved surface.
The total space occupied by the three-dimensional figure is called volume.
Given that:
The Volume is V = [tex]\pi r^2 h[/tex]
Radius r = 2b
Height,h = 5b +3
Substitute the values into the formula for the volume of a cylinder
V = πr²h
V =[tex]\pi \times (2b)^2 \times (5b + 3)[/tex]
Simplify the expression:
V = [tex]4\pi b^2 \times (5b + 3)[/tex]
Use the distributive property to get the values.
V = [tex]20\pi b^3+ 12\pi b^3[/tex]
So, the volume of the cylinder in terms of[tex]20\pi b^3 + 12\pi b^2[/tex]. Option B is correct.
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300 seats in a cinema, 60% are filled, how many seats are left?
Answer:
120 are left
Step-by-step explanation:
to get how many seats that are left you will multiply grand total of all the seats times percent filled over 100. see below
300 × 60/100
=3 × 60
=120 seats that are left
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Your apartment's monthly rent was $300 last year. This year it is $350.
What is the rate of inflation, to the nearest tenth of a percent?
O 50.0%
O 16.7%
0 15.4%
O 14.3%
well, if it was 300 and now is 350, it went up by 50 bucks, that's the inflation amount.
if we take 300 to be the 100%, what is 50 bucks off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 300 & 100\\ 50& x \end{array} \implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x\approx 16.7[/tex]
A rectangle has a length of 15 centimeters and a width of 7 centimeters. What is the area of the rectangle?
length= 15cm
width= 7cm
to find:area of the rectangle.
solution:area of rectangle= length × width
a= l × w
a= 15 × 7
= 105 cm^2
Answer:
105 cm²
Step-by-step explanation:
The formula to find the area of a rectangle is :
Area = length × width
Given that,
length ⇒ 15 cm
width ⇒ 7 cm
Let us solve it now.
Area = length × width
Area = 15 × 7
Area = 105 cm²
John bought 25kg of rice he used 1 3/4 kg on the first day and 4 1/2 on the second day. Find the remaining quantity of rice left
Answer:
18 3/4 kg of rice
Step-by-step explanation:
Start
John has 25 kg of RiceDay 1
He uses 1 3/4 kg of rice25 - 1 3/4 = 23 1/4 kg remainingDay 2
He uses 4 1/2 kg of rice23 1/4 - 4 1/2 = 18 3/4 kg of riceEnd
18 3/4 kg of rice In this survey, 77 people prefer basketball. In a survey done a couple months later, only 70
people prefered basketball. What was the percent decrease in the number of people who
prefer basketball?
URGENT PLEASE HELP
Answer:
Minus 9.09090909% decrease
What is the compliment of an angle that measures 2x degrees?
Answer:
(90 - 2x)°
Step-by-step explanation:
complimentary angles sum to 90° , then
the compliment of 2x° is (90 - 2x)°
Answer:
(90 - 2x)°
Step-by-step explanation:
We say that two angles are complementary if their measures add up to 90°
The complement of an angle that measures 2x is the angle of measure
(90 - 2x)°
because 2x + (90-2x) = 90
9. An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table below. Based on this data, how many lasagna dinners are likely to be needed for a flight with 380 passengers?
Dinner Frequency
Chicken 63
Fish 30
Lasagna 25
Vegetarian 2
A. 80 B. 85 C. 206 D. 301
Answer:
80
Step-by-step explanation:
25/120 ( since you are trying to find probability of a situation)=.2083
.2083*380=79.167 (just round it off to the nearest 1 which is 80).
What is the image of (-12, 6) after a dilation by a scale factor of 1/2 centered at the origin?
Answer: (0,3)
Step-by-step explanation:
(x,y) -> (1/2x , 1/2y)
(0,6) -> (1/2 • 0, 1/2 • 6)
=(0,3)
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i hope this helps, brainliest please <3
What percent of 29 is 3? Round to the nearest tenth or tenth of a percent
the answer is 10.3, just search up how to solve percentage word problems
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the number of games and price form a proportional relationship?
Choose the correct response.
A.
Yes. There is a constant of proportionality of $11.25.
B.
Yes. There is a constant of proportionality of $4.50.
C.
No. There is not a constant of proportionality.
D.
No. The slope is 4.5.
Answer:
This is the answer I understood and got.
B. Yes. There is a constant of proportionality of $4.50.
Step-by-step explanation:
When you divided 9/2, you get 4.5
When you divide 22.5/5, you get 4.5
When you divide 31.5/7, you get 4.5
* REMEMBER IT'S ASKING DO THE NUMER OF GAMES AND PRICE FOR A PROPORTIONAL RELATIONSHIP *
So, y= 4.5x
HELP ASAP!!! I NEED HELP
Answer:
B
Step-by-step explanation:
840÷8=105
How many x intercepts does the polynomial function y=(x-8)(x+3)^2
Answer:
The answer is 2 x-intercepts
Step-by-step explanation:
To determine the x-intercepts we set y to zero and solve for x:
y=0
(x-8)(x+3)^2=0
The product of 2 factors is 0 means that one of them must be 0:
x-8=0 ⇒ x=8 →first x-intercept
or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3 →second x-intercept
Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3
Hope this helps :)
Daniel has a bag that contains pineapple chews, apple chews, and watermelon chews. He performs an experiment. Daniel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Daniel performs the experiment 51 times. The results are shown below:
A pineapple chew was selected 21 times.
A apple chew was selected 12 times.
A watermelon chew was selected 18 times.
Based on these results, express the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon as a decimal to the nearest hundredth.
The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65
How to determine the probability?The distribution of the fruits is given as:
Pineapple = 21Apple = 12Watermelon = 18The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is:
P = (Apple + Pineapple)/Total
This gives
P = (12 + 21)/(21 + 12 + 18)
Evaluate
P = 0.65
Hence, the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65
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THIS IS WORTH 50 POINTS WILL MARK BRAINLYEST PLEASE HELP
Use either elimination or substitution.
y = x - 4
x + y = 6
Answer:
Since x = 3, y = 1 is the solution of
x – 4y + p = 0 …………….. (i)
2x + y – q – 2 = 0 …………… (ii)
So, x = 3, y = 1 must satisfy both (i) and (ii).
⇒ 3 – 4(1) + p = 0 ⇒ p = 1.
and 2(3) + (1) – q – 2 = 0 ⇒ q = 5
Since, 1 = – 4 + 5
∴ p = 1 = – 4 + 5
= q – 4
⇒ p = q – 4
An odd degree has no maximum or minimum?
Answer:
Polynomials of odd degree have an even number of turning points, with a minimum of 0 and a maximum of n−1 . Polynomials of even degree have an odd number of turning points, with a minimum of 1 and a maximum of n−1 .
Step-by-step explanation:
A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 32 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
A cone with a height of 15 yards has a volume of
475.17 yd³. Find the diameter of the cone.
Answer:
11
Step-by-step explanation:
h = 15 yards
Volume = 475.17 cubic yards
Diameter = 5.5*2 = 11.0 = 11 yards
solve (x + y +2)(y + 1)
Answer:
xy + y² + 3y + x + 2
Step-by-step explanation:
(x + y + 2)(y + 1)
xy + y² + 2y + x + y + 2
xy + y² + 3y + x + 2
No more like terms, so this is final answer
BRAINLIEST please if this helped!4 1/4 - 5/6 I don’t understand pls help
Answer:
1/6 or 0.167
Step-by-step explanation:
First understand that 4 x 1/4 is equal to 1, then replace it in the equation
1 - 5/6
Turn the whole number into a fraction that can be computed
6/6 - 5/6
Solve the equation
6/6 - 5/6 = 1/6
If you need it as a decimal enter it in a calculator and get
0.16666666667
Since the 6 is repeating you can just round that to
0.167
What is the surface area of the square pyramid?
Answer:
SA = 16 units^2
Step-by-step explanation:
B - base
H - height
SA - surface area
B = 2
H = 3
SA = (B × B) + 4((1/2)×(B × H))
SA = (2×2) + 4((1/2)×(2×3))
SA = 16 units^2
Tell me all of them pelase
Answer:
Step-by-step explanation:
A=1
B=41
C=3
Write a proportion that can be used to convert 5 meters into kilometers.
Answer:
0.5km
Step-by-step explanation:
[tex]1km = 1000m \\ x = 50m \\ \\ 50m \times 1km = x \times 1000m \\ x = 0.5km[/tex]
please answer this question
Differentiate x and y with respect to t :
[tex]x = e^{\sec(2t)} \implies \dfrac{dx}{dt} = e^{\sec(2t)} \dfrac{d(\sec(2t))}{dx} = 2\sec(2t)\tan(2t) e^{\sec(2t)}[/tex]
[tex]y = e^{\tan(2t)} \implies \dfrac{dy}{dt} = e^{\tan(2t)} \dfrac{d(\tan(2t))}{dx} = 2\sec^2(2t) e^{\tan(2t)}[/tex]
By the chain rule,
[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]
Then
[tex]\dfrac{dy}{dx} = \dfrac{2\sec^2(2t) e^{\tan(2t)}}{2\sec(2t)\tan(2t) e^{\sec(2t)}} = \dfrac{\sec(2t) e^{\tan(2t)}}{\tan(2t) e^{\sec(2t)}} =\dfrac{y \sec(2t)}{x\tan(2t)}[/tex]
and we have
[tex]\log(x) = \sec(2t)[/tex]
[tex]\log(y) = \tan(2t)[/tex]
and the claim follows.
Computer monitor measurements are typically classified by the diagonal length of the viewable area. What is the measurement of a monitor that has a rectangular viewable area of 16 inches by 12 inches? Round your answer to the nearest tenth if necessary
Answer:
~Senpi boi here~
Step-by-step explanation:
I belive this is your exlpained answer for this qestion, As figure given in the question. Hers it is step by step:
Hypotenuse = 16 in
Base = 9 in
Putting the values in the formula
Hypotenuse² = Perpendicular² + Base²
16² = 9² + Base²
324 - 81 = Base²
243 = Base²
Base = 13.59 in (Approx)
Therefore the length of the base of the moniter be 15.59 in .
Answer: THIS IS THE CORRECT ANSWER
20"
Step-by-step explanation:
Length = 16" = L
Width = 12" = W
Diagonal = [tex]\sqrt{L^{2}+W^{2} }[/tex]
= [tex]\sqrt{16^{2}+12^{2} } = \sqrt{256+144\\\\[/tex]
= [tex]\sqrt{400} = 20"[/tex]
Eugenia rolls a six-sided number cube. What is the probability that she gets a number less than 5?
Complete the equation for ⊙A.
A 2-dimensional graph with an x-axis and a y-axis is given. A circle is passing through the co-ordinates (-4,1), (-1,-2), (-4, -5) and (-7,-2) respectively. A point A which is the mid-point of the circle has co-ordinates (-4,-2).
The general equation of a circle is (x-h)²+(y-k)² = r². The equation of circle A is (x+4)²+(y+2)²=9.
What is the equation of a circle?The general equation of a circle is given as,
(x-h)²+(y-k)² = r²
Where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle,
Given that the four points that lie on the circle are (-4,1), (-1,-2), (-4, -5) and (-7,-2), and also the centre of the circle is at (-4,-2). Therefore, the radius of the circle will be the distance between the centre of the circle and any point lying on the circle.
[tex]\rm \text{Radius of the circle} = \sqrt{[(-4)-(-4)]^2+[(-2)-(1)]^2}\\\\\text{Radius of the circle} = \sqrt{(0)^2+(-3)^2}\\\\\text{Radius of the circle} = 3\ units[/tex]
Since the coordinate of the centre point of the circle is (-4,-2), while the radius of the circle is 3 units, therefore, the equation of the circle can be written as,
[tex][x-(-4)]^2+[y-(-2)]^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 9[/tex]
Hence, the equation of circle A is (x+4)²+(y+2)²=9.
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Can anyone help me with this math problem?
Lynn filled each of three bags with
2 kilograms 450 grams of sand. Is the
mass of 2 bags greater than or less than
5 kilograms? Explain how you know.
10
The mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.
How to measure the weight?Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.
There is total 1000 grams in one kilogram of weight measurement.
Lynn filled each of three bags with 2 kilograms, 450 grams of sand. There is total 1000 grams in one kilogram of weight measurement. Thus, the kilogram in 450 grams is,
[tex]x=\dfrac{450}{1000}\\x=0.45\rm\; kg[/tex]
Thus, weight in one bag is,
[tex]W=2+0.45\\W=2.45\rm\; kg[/tex]
The weight in two bags is,
[tex]2W=2.45+2.45\\2W=4.9\rm\; kg[/tex]
The weight of 4.9 kg is less than the 5 kilogram..
Thus, the mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.
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A soda can had a diameter of 6 cm . What is the circumference of the can?
1) How many students were all involved in the survey? A) 30 B) 40 C) 50 3) What is the size of the class interval?
Answer:
not enough information was provided
Step-by-step explanation:
However, The answer is B