Answers
Answer:
See below ~
Step-by-step explanation:
Subpart (e) :
⇒ New volume = 2 x 3 x 2 x 4 x 2 x 5
⇒ New volume = 8 x 60
⇒ New volume = 480 in³
=============================================================
Subpart (f) :
⇒ New volume : Original volume
⇒ 480 : 60
⇒ 1 : 8
=============================================================
Subpart (g) :
Step 1
⇒ SA = 2(6 × 9 + 9 × 11 + 6 × 11)
⇒ SA = 2(54 + 99 + 66)
⇒ SA = 2(219)
⇒ SA = 438 in²
Step 2
⇒ V = 6 × 9 × 11
⇒ V = 54 × 11
⇒ V = 594 in³
Step 3
⇒ New SA = 2 x 438
⇒ New SA = 876 in²
Step 4
⇒ New : Original
⇒ 876 : 438
⇒ 2 : 1
Step 5
⇒ New V = 2³ x 594
⇒ New V = 8 × 594
⇒ New V = 4752 in³
Step 6
⇒ New : Original
⇒ 4752 : 594
⇒ 8 : 1
Related Questions
a) If a regular octagon and regular hexagon both have the same side lengths, which will have the greater area?
Answers
Answer:
Octagon
Step-by-step explanation:
Formula for a polygon is :
A = 1/2 x a x Pa = apothem (distance from center to the midpoint of a sideP = perimeter (sum length of the sides)Since a regular octagon has 8 sides, and a regular hexagon has 6, the octagon will have the greater area due to greater perimeter.
Please Help Me !! ITS A MATH PROBLEM
Answers
Answer:
Step-by-step explanation:
Remark
You are trying to convert the base function f(x) = x^2 into the child function g(x) = -(x + 3)^2 + 5
UP
Start with the simplest part of the transformations. + 5
If you have g(x) = f(x)+5 what you have done is move the function up 5 units on your grid.
Up side Down
Next is the - sign.
f(x) = x^2
g(x) = - f(x) = - x^2
This has the affect of turning x^2 upside down. It looks like a cup opening towards the counter or down.
Left right
The last step is left / right. This is the hard one. It moves in the opposite direction that you think it should. x +3 moves the parabola left, not right. If you want it to move right, use (x - 3)
Graph
I have enclosed a graph to show you exactly what is going on. The red line is f(x)=x^2
The blue line is g(x) = -(x + 3)^2 + 5
Write a quadratic function f whose zeros are 2 and 5.
Answers
Answer:
[tex] {x}^{2} - 7x + 10 = 0[/tex]
Step-by-step explanation:
[tex](x -2)(x - 5) = 0[/tex]
[tex] {x}^{2} - 7x + 10 = 0[/tex]
I need help on this question
Answers
the opposites would equal each other.
The last 2 answers are the correct ones.
3M+4/3=28/3-M.find the m
Answers
Answer:
M = 2
Step-by-step explanation:
3M+4/3 = 28/3 -M
3M+M +4/3-28/3 = 0
4M -8 = 0
4M = 8 ( divide 4 in both sides)
M=8/4
M=2
A, B and C lie on a straight line.
Given that angle y = 144° and angle z =
92°, work out x.
A
x
Z
The diagram is not drawn accurately.
B
C
Answers
180-36-92= 52°
z is 52°
Se puede pasar 11/20 a fraccion mixta?
Answers
The fraction 11/20 can not be converted to a mixed fraction since it belongs to the proper fraction, I mean that the numerator is less than the denominator.
Only improper fractions can be mixed.
Example :[tex]\: \: \: \: \: \: \: \: \qquad\bold{\Rightarrow \dfrac{20}{11}= 1\dfrac{9}{11} }[/tex]
So no the fraction 11/20 cannot be a mixed fraction.
Answer:
Solve the set of two reals for the following exponential equation:
\Large\text{${\dfrac{27^x\:-\:3^x}{9^x\:-\:3^x} = 82}$}
The axis of symmetry of a parabola is at x = -2. If one x-intercept is (6, 0),
what is the other x-intercept?
Answers
Check the picture below.
The table compares the number of songs and the number of videos Ruby's friends keep on their mobile phones.
Can the number of videos Ruby's friends keep on their phone be represented as a function of the number of songs?
Songs Videos
200200200 101010
125125125 545454
310310310 112112112
172172172 373737
215215215 434343
260260260 585858
125125125 666666
322322322 878787
Answers
A function assigns the values. The table can be represented by a function.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
No, the number of videos kept on Ruby's friends' phones cannot be expressed as a function of the number of songs. A function produces a distinct result for each input. When the input is 125, we get two distinct results. As a result, the table does not represent a function.
Hence, the table can be represented by a function.
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Frank finished his homework at 8:45. If he started working on it at 6:45, how long did it take him to finish
Answers
Answer:
2 hours
Step-by-step explanation:
8:45-6:45=2:00
Using Euler's formula, how many
edges does a polyhedron with 4
faces and 4 vertices have?
[?] edges
Answers
The number of edges of a polyhedron with 4 faces and 4 vertices will be 6.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Using Euler's formula, the number of the edges does a polyhedron with 4 faces and 4 vertices have
We know the formula for the edges of the polyhedron will be
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
4 + 4 = E + 2
E = 8 - 2
E = 6
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please help me with these questions
Answers
Answer:
Here is the ans ..hope it helps
NEED HELP PLEASE ANSWER ASAP! (43)
Answers
Answer:
43. (2) $2.00
Step-by-step explanation:
Question 43
Let cheese pizza be c and mushroom pizza be m3c + 4m = 12.503c + 2m = 8.50Subtract Equation 2 from Equation 1.
3c + 4m - 3c - 2m = 12.50 - 8.502m = 4.00m = $2.00(2) $2.00Answer:
(2) $2.00
Step-by-step explanation:
Jack's order
3 slices of cheese pizza and 4 slices of mushroom pizza = $12.50
Grace's order
3 slices of cheese pizza and 2 slices of mushroom pizza = $8.50
The difference between the two orders is 2 slices of mushroom pizza.
The difference between the cost of the two orders is:
$12.50 - $8.50 = $4.00
Therefore, 2 slices of mushroom pizza costs $4.00
So the cost of 1 slice of mushroom pizza is:
$4.00 ÷ 2 = $2.00
Can someone solve this for me real quick
Answers
Answer:
Square
Step-by-step explanation:
a plane figure with four equal straight sides and four right angles.
Detailed Explanation:
In a Square, all 4 Sides are Equal and all 4 Angles are Equal to 90 degree, as shown in the figure given. Hence, the figure shown is a Square.
ANSWER QUICK PLSS NOT MUCH TIME LEFT
A circle P is circumscribed about a regular hexagon ABCDEF
Select one:
a. exterior
b. inscribed
c. interior
d. central
Answers
Answer:
the answer willl be D
Step-by-step explanation:
i need it fast
Did you know that all 50 states in the United States have some sort of state fair? Fairs and carnivals include a variety of games of chance that aren’t typically “fair.” What does it mean for a game to be fair? In this task, you’ll analyze different scenarios to determine fairness. You will use probability and expected value to make these determinations. You will also use these concepts to make decisions.
As you complete the assignment, keep this question in mind:
How can probability be applied to decision making?
Answers
Answer:
If a game is "fair" it most likely means that there is a chance of winning a prize that corresponds with the price of playing the game.
Step-by-step explanation:
There is no one correct answer, but that is the premise of answering a question like that. you will need to elaborate further.
Answer:
There is no correct answer. but you could use-
The key role of probability is to improve decision-making in the face of uncertainties. It helps decision-making objective and data-driven rather than based on instinct.
Step-by-step explanation:
NEED HELP QUICKLY
(please include your work)
19. Solve for the angle x.
sin²(2x) = 1
A. 45° + 360°n, 135° + 360°n
B. 45° + 360°n, 135° + 360°n, 225° +
360°n
C. 225° +360°n
D. no solution
E. 45° +360°n, 135° + 360°n, 225° +
360°n, 315° +360°n
F. 45° + 360°n, 225° + 360°n
( A is incorrect)
Answers
Answer:
Choice E.
Step-by-step explanation:
sin^2 2x = 1
sin 2x = ± 1
So 2x = 90, 270 , 450, 630 etc
x = 45, 135, 225, 315 etc
= 45 + 360n, 135 + 360n, 225 + 360n, 315 + 360n
a regular hexagon has 18 sides calculate the size of each interior
Answers
Answer:
[tex]160[/tex] °
Step-by-step explanation:
An alternative method is to use the exterior angle.
the sum of the exterior angles is ALWAYS 360 °
So you can find the size of the exterior angles of a regular polygon quite easily:
If there are 18 sides ( n = 18 ) , then each exterior angle is:
[tex]\frac{360}{n} =\frac{360}{18} = 20[/tex]°
The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.
∴ each interior angle is 180° - 20° = 160°
Isabella has a total of 150 music CD's.She loves rock music and alternative music. The number of alternative music CD's is three more than twice that of the rock music CD's that she owns .
(a). Write down two equations that represent this information.
(b). Draw the two graphs that represent these equations on the same set of axes .
(C). Show where you can read off how many Rock CD's Isabella owns .
Answers
The system of equations that we need to solve is:
x + y = 150y = 2x + 3And the solution is x = 49 and y = 101.
How to solve the system of equations?
Let's define the variables:
x = number of CDs of rock music.y = number of CDs of alternative music.We know that the total number of CDs is 150, then:
x + y = 150
And we know that:
y = 2x + 3
Then the two equations that represent the information (and conform a system of equations) are:
x + y = 150
y = 2x + 3
b) The graphs of the two equations can be seen below.
c) To find the solution, we just need to see where the graphs intercept.
We can see that the intercept is (49, 101), this means that:
Isabella has 49 rock music CDs and 101 alternative music CDs.
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Two cheeseburgers and one small order of fries contain a total of 1320 calories. Three cheeseburgers and two small orders of fries contain a total of 2170 calories. Find the caloric
content of each item.
Answers
Answer:
cheeseburger: 470 caloriesfries: 380 caloriesStep-by-step explanation:
The given relations let you formulate two equations in the two unknown values. These can be solved by any of the usual methods.
__
setupLet x represent the caloric content of a cheeseburger, and y the caloric content of a small order of fries. The problem statement tells us ...
2x +y = 1320
3x +2y = 2170
__
solutionSubtracting the second equation from twice the first gives ...
2(2x +y) -(3x +2y) = 2(1320) -(2170)
x = 470
Using the first equation, we can find y:
y = 1320 -2x = 1320 -2(470) = 380
__
A cheeseburger has 470 calories; a small order of fries, 380 calories.
_____
Attached is a graphing calculator solution.
Solve for x in the equation 3^2(x+3)÷8(x-4)=64÷2x
Answers
Answer:
Hope this helps, it was a hard equation... mark me brainliest
Step-by-step explanation:
9x+27÷8x-24=64÷2x
9x÷8x+3=64÷2x
9x÷8x*2x=61
x^3=244/9
x=
approximately 3.00411
Graph the parabola.
y=(x+1)^2-3
Answers
Answer:
tap on the picture to see.Step-by-step explanation:
that should help
Answer:
I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2
Step-by-step explanation:
Hope this helps! ;-)
Evaluate the expression when a=4, b=2, and c=5. 3ab - c
Answers
Answer:
19
Step-by-step explanation:
3(4)(2) - 5
3 * 4 = 12 * 2 = 24
24 - 5 = 19
A jar contains nine blue marbles, eight yellow marbles, 11 black marbles, and 12 red marbles.
Without looking, what is the probability of pulling a white marble from the jar?
Answers
The probability of pulling a white marble from the jar is 0.
What is the probability?
Probability determines the odds that an event would happen. The odds usually lie between 0 and 1.
The probability of pulling a white marble = total number of white marbles / total number of marbles
0 / 40 = 0
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f(t)=t^2-3t
g(t)=2t+1
find f(g(t))
Answers
Answer:
[tex]f (2t + 1) = 4t^{2} - 2t - 2[/tex]
Jane spent $27 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit.
Answers
Answer:
45%
Step-by-step explanation:
Divide 27/60, which gives you 0.45. Multiply that by 100, you get 45 percent.
Answer:
45%
Step-by-step explanation:
27/60
What is the area of the pentagon, rounded to the nearest tenth?
13.8 cm2
17.3 cm2
32.7 cm2
69.0 cm2
Answers
The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.
Then the side length of the pentagon will be
5 x Side length = 21.8 cm
Side length = 4.36 cm
Then the area of the pentagon, rounded to the nearest tenth will be
Area of pentagon = 5 x area of triangle
Area of pentagon = 5 x 1/2 x 4.36 x 3
Area of pentagon = 32.7 square cm
Thus, the correct option is C.
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Find the length of side X in the simplest radical form of the rational denominator
Answers
[tex]~~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \dfrac 1{\sqrt 2} = \dfrac{\sqrt 3}{x}\\\\\\\implies x = \sqrt 3 \cdot \sqrt 2\\\\\\\implies x = \sqrt {3 \times 2}\\\\\\\implies x = \sqrt 6[/tex]
Mina had a disco for her birthday. For every 2 boys at the disco, there were 3 girls. There were 35 children at the disco in total. How many boys were at the disco?
Answers
There were 14 boys at Mina's disco for her birthday.
What is a ratio?A ratio is a quantitative value that shows the number of times a certain value is in another value.
The number of boys at the disco can be calculated as shown below:It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
2x + 3x = 35
⇒ x = 35/5
⇒ x = 7
Total number of boys = 2x
= 2 * 7
= 14 boys
Therefore the total number of boys at the disco is 14.
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Simplify (sinx + cosx) ^2/ sin2x
Answers
[tex]\csc 2x+1[/tex]
Step-by-step explanation:
[tex]\frac{(\sin x+\cos x)^2}{\sin2x}[/tex]We expand [tex](\sin x+\cos x)^2[/tex] using algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex][tex]=\frac{\sin^2x+\cos^2x+2\sin x.\cos x}{\sin2x}[/tex][tex]= \frac{1+\sin2x}{\sin2x}[/tex][tex]=\frac{1}{\sin2x}+\frac{\sin2x}{\sin2x}[/tex][tex]=\csc 2x+1[/tex]