Answers
Answer:
Ah! Thank you for a little challenge!
Step-by-step explanation:
To do this, we need to first find our new lengths!
Height= [tex]50+x[/tex]
Radius= [tex]20+x[/tex]
Now, to find the Volume!
Using the volume formula for a cylinder(v=pi*r^2*h)
[tex]v=\pi(20+x)^{2} (50+x)[/tex]
So, we have our equation! let's solve!
[tex]V=\pi*(x^{2}+40x+400)(50+x)\\V=\pi(x^{3} +90x^{2}+2400x+20000)[/tex]
Now, I'm guessing you had trouble with it because it looked really scary.
So what I did in the first step was expand (20+x)^2, and I used the special formula(forgot what else it was called, (a+b)^2=a^2+2ab+b^2)
Next, I multiplied the expand form of that with (50+x), and the way to do that is by multiplying each term in the parentheses with every term in the next parentheses(distributive property).
So, uh, that's it! Not very scary, just a bit of in-head math!
Hope this helps! If you want to learn more or need more help, check out Khan Academy for the "squares of binomials" or "polynomials"
Related Questions
Annie has an interview at 1.20 pm It will take her 1 hours to travel to the interview. She wants to arrive at least 15 minutes before her interview time. What is the latest time Annie should for the interview?
Answers
Answer:
1:05 pm
Step-by-step explanation:
1:05 pm is the latest time
Which linear inequality is represented by the graph?
Answers
Answer:
C
Step-by-step explanation:
Answer:
y > 2 / 3x + 3 ; Option C
Step-by-step explanation:
Consider the y - intercept and slope of the following graph;
[tex]y - intercept = ( 0, 3 ) In Other Words - 3\\slope = rise / run = 2 / 3, In Other Words- slope = 2 / 3[/tex]
Now let us formulate an equation given this information;
[tex]Take Equation In Form - y = ax + b, where a - slope, b - yintercept,\\y = ax + b, a = 2 / 3, b = 3, substitute\\y = 2 / 3x + 3[/tex]
If this graph represents a dotted line, the shaded portion being > than that of the line, we can say that instead of the = being in the equation y = 2 / 3x + 3, take a greater than sign!
[tex]Solution ; y > 2 / 3x + 3[/tex]
y > 2 / 3x + 3 ; Option C
Brandon made $47.00 in 2 hours. How much would he make in 9 hours?
Answers
There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8
do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a
speaking part?
A: 2/5
B: 1/2
C: 3/5
D: 3/4
Answers
Taking into account the definition of probability, the correct option is option A.: The probability that the child has a speaking part is [tex]\frac{2}{5}[/tex].
There are 20 children in the cast of a class play, and 8 of the children are boys. Then, realizing the difference between the number of children and the number of boys you get that 12 of the children are girls.
On the other side, of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. Then, calculating the difference between the number of girls there are and the number of them that they do not have a speaking part in the play is obtained: 12 girls - 8= 4 girls. So, of the girls, 4 do not have a speaking part in the play.
Therefore, 4 + 4 = 8 of the children have a speaking part.
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
In this case:
number of favorable cases= 8 of the children have a speaking part.number of possible cases= 20 childrenReplacing in the definition of probability:
[tex]P(A)= \frac{8}{20}[/tex]
Simplifying the fraction:
[tex]P(A)= \frac{2}{5}[/tex]
Then, the correct option is option A.: The probability that the child has a speaking part is [tex]\frac{2}{5}[/tex].
What is the common ratio of the geometric sequence below 625, 125, 25, 5, 1
Answers
Answer:
[tex] \frac{1}{5} [/tex]
Step-by-step explanation:
Given geometric sequence is: 625, 125, 25, 5, 1
Common ratio
[tex] r = \frac{succeeding\: term}{preceding \: term} \\\\
\therefore r = \frac{125}{625} \\\\
\therefore r = \frac{1}{5} [/tex]
Answer:
B or 25/125
Step-by-step explanation:
Got it right
question #1[tex]6\geq -4x-2[/tex]
Answers
Write 2.54 x 10^-6 in standard form
Answers
Answer:
2540000 x
Step-by-step explanation
the answer is 2540000...
please answer need help with equation!
Answers
Answer:
Hi there hope ur having a good day , the answer is
18P
Step-by-step explanation:
[6 X 3]P
18P
Answer:
18P
Step-by-step explanation:
[3X 6]P
18P
Have a great day
PLZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPP ASAPPP
Mac waters plants for his neighbors when they are away. He graphed several points on a coordinate grid to represent the watering. The x-axis represents the number of plants he has watered in a given day, and the y-axis represents the number of gallons of water he has used to water them. Which point on his graph represents a different ratio of gallons of water to plants than the other points?
A. (16, 4)
B. (8, 2)
C. (24, 8)
D. (48, 12)
Answers
Answer:
Step-by-step explanation: 50 km is 36.1 km more than 13.9.
Hope this helps !
-Carrie
Step-by-step explanation:
The correct option is Option C: the point (24,8) shows different ratios of gallons of water and plants from other points.
What is the ratio?The ratio is the representation of the fraction where this fraction is represented by the : symbol.
Given in the question number of plants that he watered every day is represented on the x-axis in the coordinate grid.
The number of gallons that he waters every day is represented on the y-axis in the coordinate grid.
We have to check the ratio of the y coordinate and the x coordinate is different from other options.
By checking all the options
Option A: (16,4) ratio of gallons of water and plants that are watered is 4/16= 1/4= 1:4
Option B: (8,2) ratio of gallons of water and plants that are watered is 2/8= 1/4= 1:4
Option C: (24,8) ratio of gallons of water and plants that are watered is 8/24= 1/3= 1:3
Option D: (48,12) ratio of gallons of water and plants that are watered is 12/48= 1/4= 1:4
By analyzing all options, Option A, B, D has a ratio 1:4. and Option C has a ratio 1:3.
Therefore the correct option is Option C: the point (24,8) shows different ratios of gallons of water and plants from other points.
Learn more about ratio
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Given g(x)=-x-2, Find g(1).
Answers
g(x)=-3
i’m pretty sure that’s the answer
Solve the system of equations and choose the correct ordered pair.
3x + 5y = 2 9x +11 y= 14
A. (4, -2)
B. (4,2)
C. (3,-2)
D. (3,2)
Answers
Answer:(4,-2)
Step-by-step explanation: elimination method
3(3x+5y)=2×3
9x+11y=14
9x+15y=6
-
9x+11y=14
4y=-8
y=-2
To get x replace y with -2
3x+(5×-2)=2
3×=12
X=4
Answer:
its A
Step-by-step explanation:
Which equation solves the real world problem below?
Homer and his family are on a road trip. If they have traveled 14 of the total distance in the past 3 days, what fraction of the total distance did they travel per day?
a) 3 ÷ 1/4=12 b) 3 × 1/4 = 3/4 c) 1/4 ÷ 3 = 1/12 d) 3 + 1/4 3 1/4
Answers
Answer:
d) 3 1/4
Step-by-step explanation:
The equation for the total distance traveled per day is 1/4 ÷ 3 = 1/12 of the total distance
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total distance traveled per day be represented as A
Now , the equation will be
The distance traveled for the last 3 days = 1/4 of the total distance
So ,
Total distance traveled per day = distance traveled for the last 3 days / 3
Substituting the values in the equation , we get
Total distance traveled per day A = ( 1/4 ) / 3
On simplifying the equation , we get
Total distance traveled per day A = 1/12 of the total distance
Hence , the equation is 1/4 ÷ 3 = 1/12
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The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?
Answers
Answer:
[tex]\dfrac{a+b+c}{2}[/tex]
Step-by-step explanation:
Number of kids in the first class =aNumber of kids in the second class =bNumber of kids in the third class =cThe sum of the kids in the three classes =a+b+c
If they are divided equally between two buses, then we have:
[tex]\text{Number of kids in each of the bus}=\dfrac{a+b+c}{2}[/tex]
if the nth term of a sequence is 3n + 1 what is the 8th term
Answers
Answer:
25
Step-by-step explanation:
24 + 1
The value of 8th term of the sequence will be 25.
What is the general formula of nth term of a sequence ?The nth term of a sequence is given by T = a+ (n-1) d, here a is the first term and d is the common difference.
The nth term of the sequence is 3n+1
The 8th term will be 3 * 8 + 1 = 25
Therefore, the value of 8th term of the sequence will be 25.
To know more about the general formula of nth term of a sequence
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At a tailor shop, it costs $6.79 to
shorten a pair of pants and $9.25 to
take in a dress. Lisa brought in 3 pairs
of pants to be shortened and 1 dress to
be taken in. How much will she pay for
the tailoring?
A $16.04
B $20.37
C $27.16
D $29.62
Answers
Answer: $29.62
Step-by-step explanation:
6.79 * 3 = 20.37
9.25 * 1 = 9.25
So, 20.37 + 9.25 = 29.62
Answer:
D
Step-by-step explanation:
(6.79*3)+(9.25*1)=29.62
we multiply the cost of shortening a pair of pants by the number of pants brought and the cost of a dress multiplied by the number of dresses to get our answer
-(-4) (-6) -3/5 (10+15) -------------------------------- 1/3 A)-117 B)-13 C)3 D)27 show all work plss due today
Answers
Answer: d) 27
Step-by-step explanation:
When you multiply 4*6 you know it’s 24 right? Then you can subtract 3/5 using lcm and times that by 25
Hope that helps!
The value of the expression is -100/3.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
- (-4) (-6) - 3/5 (10 + 15) - 1/3
Simplifying the expression.
= 4 x -6 - 3/5 x 15 - 1/3
= -24 - 3 x 3 - 1/3
= -24 - 9 - 1/3
= (-72 - 27 - 1)/3
= -100/3
Thus,
The value of the expression is -100/3.
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Find the greatest common factor of the
following monomials:
34g^5h^6
4g^2h^3
22g^6h^3
Answers
Answer:
2g²h³
Step-by-step explanation:
34g⁵h⁶=2*17g⁵h⁶
4g²h³=2²g²h³
22g⁶h³=2*11g⁶h³
GCF(34g⁵h⁶; 4g²h³; 22g⁶h³)=2 g²h³
2 Points
Solve 5x - c= k for x.
Answers
Answer:
[tex]x = \frac{c + k}{5} [/tex]
Step-by-step explanation:
[tex]5x - c = k \\ 5x = c + k \\ \frac{5x}{5} = \frac{c + k}{5} \\ x = \frac{c + k}{5} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer: x = 1/5c + 1/5k
Step-by-step explanation:
5x - c = k
5x = c + k:
Divide both sides by 5
x = 1/5c + 1/5 k
find the product. write your answer in exponential form.
Answers
Answer:
8⁷
Step-by-step explanation:
In multiplication, if two numbers have the same base, add the powers
8⁵*8² = 8⁵⁺² = 8⁷
Given right triangle XYZ, what is the value of tan(60°)? One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartRoot 3 EndRoot StartFraction 2 Over 1 EndFraction
Answers
Answer:
Tan 60 degrees = 1.732 degrees
Step-by-step explanation:
Using trigonometry value, The value of tan(60°) = 1.73205.
What is trigonometry?
Trigonometry is "branch of mathematics with specific function of angles and their applications to calculation".
According to the question,
In right triangle XYZ, the value of tan(60°) = [tex]\frac{1}{\sqrt{3} }[/tex]
= 1.73205.
Hence, Using trigonometry value, The value of tan(60°) = 1.73205.
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There are 1265 students at Cypress Middle School. 42% of the students are enrolled in PE. Which equation could be used to represent the number of students enrolled in PE?
Answers
Answer:
0.42* 1265=x
Step-by-step explanation:
There are 1265 students in Cypress Middle School. So we already know one part of the equation. 42% of these students are in PE. So we know that 42% of these 1265 students are in PE. Of these means you probably have to multiply 42% and 1265. 42% = 0.42. So to write an equation we take the 0.42 and 1265 and put it together. Therefore, 0.42 times 1265=x.
Direct Variation: If y = 20, when x = 8, find y when x = 40.
A. 10
B. 80
C. 50
D. 100
Answers
Answer:
D
Step-by-step explanation:
X is increased by a factor of 5, so y should be multiplied by 5 as well. So y = 20*5=100
Please help me with this . I can’t fail geometry I need your help please
Please
Answers
Answer:
31
Step-by-step explanation:
m<ACB is half of the angle AOB so u divide 62/2 and the answer is31
What is the cot in simplest fraction form????
Please help been stuck for 30 minutes!!
Answers
Answer:
65/72
Step-by-step explanation:
cot is simply cosine over sine or the tangant flipped
the cos (c)=65/97
sin (c) = 72/97
cot would be (65/97)/(72/97)
How do you divide fractions? By multiplying the reciprocal!
cot would be 65/97 * 97/72
the 97s cross out.
65/72
Function (A or B) has the greater initial value because the initial value for function A is _ and the initial value for Function B is _
HELP ME PLZZZZZZZZZZ I NEED IT
Answers
Answer:
Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5
Step-by-step explanation:
The initial value of a function is the output value of the function when the input value is 0Initial value of A is y=4 at x=0,
and
initial value of B is y=0*6+5= 5 at x=0
Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5
an algebraic _____ has an equal sign
Answers
Answer:
An algebraic equation has an equal sign.
Step-by-step explanation:
By definition, an equation must have an equal sign. Otherwise, it cannot be considered an equation.
Help me once again please :)
Answers
Answer:
C. 30-60-90
Step-by-step explanation:
the ratio for a 3-6-9 triangle is x, 2x, x√3
if x=8, then 2x=16, and x√3 =8√3
it's not A because it is a right angle triangle.
it's not B because the ratio for an isoceles triangle is x:x:x√2. since a and b are not the same value, it can be assumed that it is not the answer
Answer:
c
Step-by-step explanation:
The longest side is hypotenuse.
Using Pythagorean theorem:
c² = a² + b²
16² = 8² + (8√3)²
256 = 256 True, so it is a right triangle.
Short leg = 8, long leg = 8√3
For 30-60-90 right triangle:
short leg = hypotenuse/2 = 16/2 = 8 , true:
long leg = short leg*√3 = 8√3, true.
Write the equation of a line in point-slope form thatſgoes through the coordinate
(4, -3) and has a slope of 7. *
Answers
Answer:
hope this helps you
Garden table and bench cost $554 combined. The Garden table cost $96 less then the bench. What is the cost of the bench?
Answers
Answer:
$325
Step-by-step explanation:
Let x be the cost of the bench.
Therefore, x + (x-96)=554
2x-96=554
2x=650
x=325
Answer:
The bench cost $229 and the garden table costs 229 + 96 = $325
Step-by-step explanation:
let the cost of the bench = x
the cost of the garden table = x + 96
x + (x + 96) = 554
2x + 96 = 554
2x = 458
x = 229
Michael is packing his bags for his vacation. He has 5 unique shirts, but only 4 fit in his bag. How many different groups of 4 shirts can he take?
Answers
Answer:
12
Step-by-step explanation:
I think you have to use the product rule for counting- which is where you multiply the two numbers. I'm not sure if this is right but I hope I helped
Answer:
5 shirts
Step-by-step explanation:
Think of this question like this, where each shirt option (5 options) has a number:
Shirt #1, Shirt #2, Shirt #3, Shirt #4, and lastly Shirt #5
Without using much math, the answer is 5 shirts because every possible outcome (of the 4 shirts Michael must pick to bring on vacation) will leave exactly one shirt that he will not be able to pack. The only possible outcomes that would fit this question would be:
1) Shirt #1, Shirt #2, Shirt #3, and Shirt #4
2) Shirt #2, Shirt #3, Shirt #4, and Shirt #5
3) Shirt #3, Shirt #4, Shirt #5, and Shirt #1
4) Shirt #4, Shirt #5, Shirt #1, and Shirt #2
5) Shirt #5, Shirt #1, Shirt #2, and Shirt #3