Answer:
Rocket can hold maximum 4.5 gallons of water.
Step-by-step explanation:
Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom
Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the circular base
h = height of the cone
Volume = [tex]\frac{1}{3}\pi (4)^{2}(14)[/tex]
= [tex]\frac{224\pi }{3}[/tex] cubic inch
Volume of the cylinder = [tex]\pi r^{2}h[/tex]
Here r = radius of the base
h = height of the cylinder
Volume = [tex]\pi (4)^{2}(16)[/tex]
= 256π cubic inches
Volume of the rocket = [tex]\frac{224\pi }{3}+256\pi[/tex]
= [tex]\frac{992\pi }{3}[/tex]
= 1038.82 cubic inches
Since 231 cubic inches volume of a rocket can hold water = 1 gallon
Therefore, 1038.82 cubic inches space can hold water
= [tex]\frac{1038.82}{231}[/tex]
= 4.497
≈ 4.5 gallons
Rocket can hold 4.5 gallons of water.
Which of the tables represents a function? (4 points)
Please help i’m having a really hard time
Answer:
table A
Step-by-step explanation:
side note: if the outputs have the same numbers there not a function
need help finding the area
Answer:
256inches
Step-by-step explanation:
8×16 + 8×16
128+128=256
Answer: 288 I think.
Step-by-step explanation: First you find the area of the first rectangle, then the second. You do this by splitting both rectangles and finding the area there. Add those up. Then you want to find you the area for the corners. Add that and there’s your answer.
I need to know what the answer to this is in radical form √6⋅√11⋅√5
Answer:
√330
Step-by-step explanation:
The product of radicals is the radical of the product.
(√6)(√11)(√5) = √(6·11·5) = √330
__
This cannot be simplified, because there are no square factors.
simplify this expression 10x-5y+2x-37
Answer:
12x-5y-37
Step-by-step explanation:
10x-5y+2x-37
10+2
12x-5y-37
x/10 + y/1000 = 1
Can you please rewrite this in slope-intercept form
Please help !!!
Answer:
Slope-int form: y = mx + b
x/10 + y/1000 = 1
y/1000 = -x/10 + 1
y = 1000(-x/10 + 1)
y = -100x + 1000
Step-by-step explanation:
I need help with this- I've never seen a graph like this- haha
Answer:
I think it's the third answer.
Step-by-step explanation:
The line is going through those points.
Translate each sentence into a equation
Answer:
1. q + 4t = 29
2. n² + 12 = p /4
3. ( 1/2 j) -5 = k+12
4. 3b -100 = 6xb
5. g³ = 24 x (g+4)
Step-by-step explanation: Math language is very simple but needs to be learnt
of means x or mulitply
sum means +
is means =
a quotient of x and y = x/y which means division
times means to multiply ( x)
less means to subtract ' - '
x to the third power means x to the exponent 3 or x³
Increase £36.00 by 10%
Answer:
3.6
Step-by-step explanation:
10% = .10
36 * .10 = 3.6
Solve for xxx. Enter the solutions from least to greatest. 2x^(2)-2x-180 =0
Answer:
{-9, 10}
Step-by-step explanation:
The equation can be factored as ...
2x^2 -2x -180 = 0
x^2 -x -90 = 0 . . . . divide by 2
(x +9)(x -10) = 0
Solutions are the x-values that make the factors zero:
-9, 10
(please helpppp!!)What are the questions for Module one DBA for algebra? (Flvs)
Answer:
you should try contacting your instructor if you dont have access to them,
How’d do you simplify it?
Answer:
The answer is
[tex]8 \sqrt{3} \: {m}^{2} [/tex]Step-by-step explanation:
[tex] \sqrt{192 {m}^{4} } [/tex]First of all factor out the perfect square
From the question the perfect square is 64
We have
[tex] \sqrt{64 \times 3 {m}^{4} } [/tex]The root of a product is equal to the product of the roots of each factor
So we have
[tex] \sqrt{64 \times {3m}^{4} } = \sqrt{64} \times \sqrt{3} \times \sqrt{ {m}^{4} } \\ [/tex]Simplify
[tex] \sqrt{64} = 8 \\ \sqrt{ {m}^{4} } = {m}^{2} [/tex]So we have
[tex]8 \times \sqrt{3} \times {m}^{2} [/tex]We have the final answer as
[tex]8 \sqrt{3} \: {m}^{2} [/tex]Hope this helps you
Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem?
Answer:
1000 calories
Step-by-step explanation:
2000-(1400-400)
Answer:
800
Step-by-step explanation:
2000−1200
=2000−1200
=2000+−1200
=800
There are three choices of jellybeans: grape, cherry and orange. If the probability of getting a grape is 3/10 and the probability of getting cherry is 1/5, what is the probability of getting orange?
can u plzz explain me the question
Answer:
5/10, or 1/2
Step-by-step explanation:
If the probability of getting a grape is 3/10, and the probability of a cherry is 1/5 or 2/10, then the probability of getting orange is 5/10.
3/10+2/10=5/10
10/10-5/10=5/10
Simplified: 1/2
3 1 8 5 7 2 1 6 find the mode
Answer:
1
Step-by-step explanation:
Mode is 1 as 1 has repeated the most number of times
Answer:
The mode is 1.
Step-by-step explanation:
The mode is 1 because that number occurs the most number of times.
Hope I helped!
How many places after the decimal point does the equivalent decimal have if: the denominator of the fraction is 100?
Answer:
2 places after the decimal point.
Step-by-step explanation:
Answer:
2 places after the decimal point
Step-by-step explanation:
[tex]\frac{1}{100}[/tex] =0.01
Hav a nice day
A spinner with 50 evenly sized sections and numbered 1 to 50 is spun. What is the probability that the number spun is 33 given that the number is odd?
URGENT
in two or more complete sentences, describe a system of equation in which subtraction would be the most efficient way of solving the system.
Answer:
a system of equations in which subtraction would be the most efficient way of solving the system is: A system of equations in which one of the variables has exactly the same coefficient in both equations. Solve the system by the elimination method. ... Solve the system by the elimination method.
Which graph represents a reflection in the y-axis?
Please and thank you
Answer:
B
Step-by-step explanation:
A reflextion across the y axis is across the center line.
Write a recursive formula for the sequence.
11, 7, 3, -1, ...
Answer:-4
Step-by-step explanation:
11,7,3,-1,-5,......they have a difference of -4
11-4=7
7-4=3
3-4=-1
-1-4=-5
Recursive formula for the given sequence is [tex]a_{n}=a_{n-1}-4[/tex]
What is Recursive formula?A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).
Consider
The first term [tex]a_{1} =11[/tex]
second term [tex]a_{2}=7[/tex]
Common difference = 7-11 = -4
Third term [tex]a_{3}=3[/tex]
Common difference = 3-7 =- 4
Fourth term [tex]a_{4}=-1[/tex]
Common difference = -1-3= -4
Then the formula for the sequence is [tex]a_{n}=a_{n-1}-4[/tex]
Hence, the Recursive formula for the give sequence is [tex]a_{n}=a_{n-1}-4[/tex]
Learn more about Recursive formula here
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six less than three times a number. write an algebraic expression to represent the given phrase
Answer: 3x-6
Step-by-step explanation:
Let the number be x
3 times the number is 3x
6 less than 3x is 3x-6
PLSSSS HEP ITS URGENT!!
1+6=6x6/6
Answer:
7=6
Step-by-step explanation:
since it is times 1 plus 6 = 6 times 6 divided by 6
1+6=6x6/6
1+6 is 7
6 times 6 is 36 then 36 divided by 6 is 6
then you get 7=6
What is the value of (–7 + 3i) – (2 – 6i)?
Answer:
9 (i - 1)
Step-by-step explanation:
Simplify the following:
-7 + 3 i - (-6 i + 2)
Hint: | Distribute -1 over 2 - 6 i.
-(2 - 6 i) = -2 + 6 i:
-2 + 6 i - 7 + 3 i
Hint: | Evaluate -2 + 6 i - 7 + 3 i.
-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:
9 i - 9
Hint: | Factor common terms from 9 i - 9.
Factor 9 out of 9 i - 9 giving 9 (i - 1):
Answer: 9 (i - 1)
*PLEASE ANSWER, NEED HELP* Which of the following is not a type of probability model? a.) A systematic list b.) An area model c.) A spinner d.) A tree diagram
Answer:
a)systematic list
Step-by-step explanation:
hope it helps
o the
What is the x-coordinate of the point plotted below?
Answer:
The x coordinate is 2
Step-by-step explanation:
Since the point is on 2 of the x-axis. The exact coordinates of that point is (2,0)
The x-coordinate of the point plotted is (2, 0)
What is Coordinate Geometry?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
We need to find the x-coordinate of the point plotted in the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The x value of the point (x, y) is known as the abscissa. It represents the distance of the point from the origin or along the horizontal x-axis.
The point is at 2 on x axis and y value will be zero
(2, 0) is the x coordinate of the given point
Hence, the x-coordinate of the point plotted is (2, 0)
To learn more on Coordinate geometry click:
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(QUICK RESPONSE!) Fiona enlarges a parallelogram that has a perimeter of 17 meters. What is the perimeter of the enlarged parallelogram?
A.30 meters
B.73.5 meters
C.102 meters
D.105 meters
it C.102 meters
Answer:
c.102 meters
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Solve for h: 7a=10+2h
Answer:
[tex] \frac{7a}{2} - 5 = h[/tex]
Step-by-step explanation:
[tex]7a = 10 + 2h[/tex]
Isolate 2h
[tex]7a - 10 = 2h[/tex]
Divide both sides of the equation by 2
[tex] \frac{7a - 10}{2} = \frac{2h}{2} [/tex]
Simplify
[tex] \frac{7a}{2} - 5 = h[/tex]
(x - 5)2 = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides
Here is your answer
x = 17.5
Make as brainliest plzz....
Hope this answer is helpful....
Toby is packaging 21 baseball cards and 12 football cards to sell at the swap meet. Each packet will have the same number of cards. Each packet will have the cards for only one sport. What is the greatest number of cards you can place each packet? How many packets would it be for each sport?
Answer: The greatest number of cards you can place each packet = 3
There would be 7 packets of baseball cards and 4 packets of football cards.
Step-by-step explanation:
Given: Number of baseball cards =21
Number of football cards = 12
Each packet will have the same number of cards.
Each packet will have the cards for only one sport.
Then, the greatest number of cards you can place each packet = GCD (21,12) i.e. greatest common divisor of 21 and 12
Since 21 = 3 x 7 and 12 = 2 x2 x3
so, GCD(21, 12)=3
So, the greatest number of cards you can place each packet = 3
Number packets of baseball cards = [tex]\dfrac{21}{3}=7[/tex]
Number packets of football cards = [tex]\dfrac{12}{3}=4[/tex]
So, there would be 7 packets of baseball cards and 4 packets of football cards.
to find the sum of 4 and -5.
Answer:
-1
Step-by-step explanation:
-5 + 4 = 1
ASAP Please! Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem. A. 3 B. 5 C. 7 D. 9
Answer:
9
Step-by-step explanation:
First add 6 to Benjamin's age to make it 18, which is twice Lucas's age. Because it's twice as much, divide 18 by 2 to get 9.