Annie Mae collects snow globes that come in cube-shaped boxes as shown.
Please contact your teacher immediately if you do not see the diagram.How does the change in the length of the sides from the smaller cube to the larger cube affect the volume?
Question 3 options:
The volume increases by a factor of 64.
The volume increases by a factor of 27.
The volume increases by a factor of 9.
The volume increases by a factor of 16.
Answers
First find the volume of both cubes and then take the ratio of lager to smaller cube to the factor of increase.
volume of smaller cube= v= 4³ = 64 in³
volume of larger cube= V= 12³ = 1728 in³
Now find the factor= V/v =1728/64 =27
So volume increase by the factor of 27
Related Questions
The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per second and t is the temperature in degrees Celcius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to the nearest degree.
Answers
[tex]v = 20 \sqrt{273 + t} [/tex]
we are given v is 369 so we have
[tex]369 = 20 \sqrt{273 + x} [/tex]
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
[tex]369 = 20 \sqrt{273 + x} \\ 18.45 = \sqrt{273 + x} \\ 340.40 = 273 + x \\ x = 67.4[/tex]
so a temp of about 67 degrees C
Answer:
The velocity of sound in air is 369 meters per second at 67 degrees Celcius.
Step-by-step explanation:
The veloctiy of sound in air is given by the equation
[tex]v=20\sqrt{273+t}[/tex]
where v is the velocity in meters per second and t is the temperature in degrees Celcius.
We need find the temperature when the velocity of sound in air is 369 meters per second.
Substitute v=369 in the give equation.
[tex]369=20\sqrt{273+t}[/tex]
Divide both sides by 20.
[tex]\frac{369}{20}=\sqrt{273+t}[/tex]
[tex]18.45=\sqrt{273+t}[/tex]
Taking square both the sides.
[tex](18.45)^2=273+t[/tex]
[tex]340.4025=273+t[/tex]
Subtract 273 from both the sides.
[tex]340.4025-273=t[/tex]
[tex]67.4025=t[/tex]
[tex]t\approx 67[/tex]
Therefore the velocity of sound in air is 369 meters per second at 67 degrees Celcius.
if 3x + y = k (x-3), then x =
Answers
X =[tex] \frac{3k+y}{k-3} [/tex]
Brett colors 25% of the total shapes on his paper he colors 6 shapes enter the total number of shapes on bretts paper
Answers
Based on the information given the total number of shapes on bretts paper is 24 shapes.
Using this formula
Total number of shapes=Number of shapes/Percentage of total sales
Where:
Number of shapes=6
Percentage of total sales=25% or .25
Let plug in the formula
Total number of shapes=6/.25
Total number of shapes=24 shapes
Inconclusion the total number of shapes on bretts paper is 24 shapes.
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Please write an equation for the problem below! NEED ASAP
Anna is in a phone booth with $1.35 in change. a call home costs 60 cents for the first five minutes and 15 cents for each additional minute. How long can she talk?
Answers
Find the area of the shaded region. Use 3.14 for pi. Do not round. Use a calculator. Number 20 and 21. Ty.
Answers
circle- 3.14x10^2=3.14x100=314
400-314=86
86m^2
21.i don't get 21 sorry
for questions 1 - 2, what are the excluded functions of the function?
1.) y= 4/9x-45
2.) y= 7/2x+48
Answers
1.) Function of x.[tex]f (x) = \frac{4x}{9} -45[/tex]
Function of y.[tex]f (y) = \frac{405}{4} + \frac{9y}{4} [/tex]
2.)Function of y.[tex]f (y)= \frac{7}{2(y-48)} [/tex]
Function of x.[tex]f (x) = \frac{7}{2x} + 48[/tex]
This room has an oil stain on the floor. Tyler wants to rotate the rug so that it covers the stain. What kind of rotation should be performed on the kite-shaped rug? Be sure to specify the center of rotation and the direction (clockwise or counter-clockwise).
Answers
Answer:
Rotate clockwise around right most point.
Step-by-step explanation:
We are given that,
The room has an oil stain as shown in the graph.
It is required to rotate the kite figure to fully cover the stain.
So, we get,
If we rotate the figure clockwise, it will completely cover the stain.
Moreover, the figure should be rotated around the right most point clockwise, which will become the center of rotation.
Which ordered pair is a solution of the equation 2x - 3y = 18?
Answers
Answer:
(3,-4)
Explanation:
The easiest way to solve this question is to use each of the given order pairs, substitute with them in the equation and check whether the equation is satisfied or not.
The given equation is:
2x - 3y = 18
1- For (0,8):
2(0) - 3(8) = -24 .....> not equal to 18 .....> wrong choice
2- For (2,5):
2(2) - 3(5) = -11 .....> not equal to 18 .....> wrong choice
3- For (3,-4):
2(3) - 3(-4) = 18 .....> equal to 18 ......> correct choice
4- For (6,2):
2(6) - 3(2) = 6 .....> not equal to 18 ......> wrong choice
Based on the above, the correct choice is (3,-4)
Hope this helps :)
figure lmno is a rectangle. The slope of LM is -1/2. What are the slopes of MN and OL?
Answers
Answer:
The slopes of these other two segments would be 2.
Step-by-step explanation:
In order to find these slopes, you need to know that rectangles have right angles. Given this fact, we know these segments are perpendicular to the given segment. This means that we take the current slope (-1/2), we flip it, (-2) and negate it (2) to get the new slope.
A bank offers a 6% annual interest rate for a savings account. Marcus puts $8,000 into an account to save for college. How much will be in the account after a year?
Answers
0.06(8000)+8000
We can make it simpler:
1.06(8000)
Multiply:
8480
MARCUS WILL HAVE $8480
Select the measures that are equal
6 feet 15 yards 45 feet 600 inches 12 feet 640 inches
Answers
To solve such problems, we need to know about Units conversion.
Units conversionUnit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,
though the real measurement is still the same the units and numerical values have been changed.
Common Unit Conversion1 yard = 36 inches,
1 foot = 12 inches,
Given to us,
6 feet, 15 yards, 45 feet, 600 inches, 12 feet, 640 inches
Converting the units to inches,
1 foot = 12 inches,
6 feet = 6 x 12 = 72 inches,
45 feet = 45 x 12 = 540 inches,
12 feet = 12 x 12 = 144 inches,
1 yard = 36 inches,
15 yards = 15 x 36 = 540 inches,
As we can see above the value of 15 yards and 45 feet are equal to 540 inches, therefore, equal to each other.
Learn more about Units conversion:
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Find the final cost to the employer.
Original price: $129.00
Employee discount: 20%
Sale discount: 30%
Sales tax: 5%
a.$75.85
b.$70.95
c.$68.63
d.$67.72
e.$61.28
Answers
A discount of 20% means that the cost is 80% of the original. 80%=80/100=0.8
0.8(129) = 103.20
A discount of 30% means that the cost is 70% of the amount before discount. 70%=70/100=0.7
0.7(103.20) = 72.24
A sales tax of 5% means that it is 105% of the amount pre-tax. 105%=105/100=1.05
1.05(72.24) ≈ 75.85
What is the square root of 18y over 36y to the third power? - I need to show work!
Answers
[tex]\dfrac{1}{y\sqrt2}=\dfrac{1}{y\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2y}[/tex]
can yall help me with this tell me your answer step by step plz
Answers
Answer:
What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?
Answer is B or # 2
The graph touches, but does not cross, the x–axis at x = ⇒ 4.
The graph of the function crosses the x–axis at x = ⇒ 0
Step-by-step explanation:
Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous Powered by LinkIt!
Answers
The parimeter of the square by definition is given by:
P = 4L
Substituting values:
P = 4 (2x + 4)
Rewriting we have:
P = 8x + 16
Part 2:
For x = 5 we have:
P = 8 (5) + 16
P = 40 + 16
P = 56
Part 3:
The area of the square is:
A = L ^ 2
Substituting values:
A = (2x + 4) ^ 2
For x = 3 we have:
A = (2 (3) + 4) ^ 2
A = (6 + 4) ^ 2
A = (10) ^ 2
A = 100
one hundred grams of radium are stored in a container. The amount R of radium present after t years can modeled by R=10e^-0.00043t. After how many years will only 5 grams of radium be present? round your answer to the nearest whole year.
Answers
To determine after how many years only 5 grams of radium will be present, we use the decay equation [tex]R = 100e^{-0.00043t}[/tex] to solve for t when R equals 5 grams, yielding approximately 1,605 years.
Explanation:To determine after how many years only 5 grams of radium will be present, we can use the provided equation for radioactive decay: R = [tex]100e^{-0.00043t}[/tex]. We need to solve for when R equals 5 grams. Here are the steps:
Set the equation equal to 5: [tex]5 = 100e^{-0.00043t}.[/tex]Divide both sides by 100: [tex]0.05 = e^{-0.00043t[/tex]}.Take the natural logarithm (ln) of both sides to solve for t: [tex]ln(0.05) = ln(e^{-0.00043t}) = -0.00043t.[/tex]Divide both sides by -0.00043 to isolate t: [tex]t = ln(0.05) / -0.00043.[/tex]Use a calculator to find the value of t: [tex]t \approx 1,605.11[/tex] years.Round to the nearest whole year: t ≈ 1,605 years.After approximately 1,605 years, only 5 grams of radium will be present.
To find the time after which only 5 grams of radium remain, the exponential decay equation [tex]R = 10e^{-0.00043t[/tex] is solved using natural logarithms, yielding an approximate time of 1608 years.
To determine after how many years only 5 grams of radium will be present, we need to solve the exponential decay equation provided, R = [tex]10e^{-0.00043t[/tex], for t when R = 5 grams. We can do this using logarithms.
Set up the equation with R = 5: 5 = [tex]10e^{-0.00043t[/tex]
Divide both sides by 10 to isolate the exponential term: 0.5 = [tex]e^{-0.00043t[/tex]
Take the natural logarithm (ln) of both sides: ln(0.5) = ln([tex]e^{-0.00043t[/tex]), which simplifies to ln(0.5) = -0.00043t because the natural logarithm and the exponential function are inverses of each other.
Divide by -0.00043 to solve for t: t = ln(0.5) / -0.00043
Use a calculator to find the value of t: t ≈ 1608 years (rounded to the nearest whole year)
After approximately 1608 years, there will only be 5 grams of radium present in the container.
If s = 1 over 4 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Numerical Answers Expected!
Answer for Blank 1:
Answers
Answer:
The value of A, in square units is:
1
Step-by-step explanation:
We are given that:
[tex]s=\dfrac{1}{4}\ units\ and A=16s^2[/tex]
We have to determine the value of A
[tex]A=16\times \dfrac{1}{4}\times \dfrac{1}{4}[/tex]
⇒ A= 1 square units
Hence, the value of A, in square units is:
1
Answer:
I think the answer is 1 sorry I'm late.
Step-by-step explanation:
A tree cast a 24 foot shadow. A 5 foot person cast an 8 foot shadow. How tall is the tree ?
Answers
8x=240=30 ft
8x=120
X= 15
PLZ HELP!!! 50 POINTS!!!!
What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answers
x = arccos(15/29) = 58.85 degrees (2 d.p.)
x = 58.86
hope it helps
for a company outing employees voted their preferences of bowling a movie or a baseball game seventy percent which is 56 employees voted for the movie. what is the total number of employees who voted?
Answers
welcome to my world where answers grow on trees!
if u want the answer to this question and more... come to ME!!
ull find ur self the brainliest that ill give u plus many thanks and rates to amazing people like u!!
lol I made that poem up anyways ur answer would be 42
hope I helped BRAINLIEST??
Please help me with this
Answers
[tex] \frac{12.8 + 4.2}{2} (4.9) = 41.65 cm^2[/tex]
Area of the rectangle:
4.2 x 3.1 = 13.02 cm^2
Area of each quarter circle:
[tex] \frac{ \pi (3.1)^{2} }{4} = 7.54 cm^2[/tex]
We have two quarter circles:
7.54 + 7.54 = 15.08
41.65 + 13.02 + 15.08 = 69.75 cm^2
Which word fits in both sentences
after your brother asked a simple question why did you ____ at him?
I made a ____ decision that I regretted later.
A) shout
B) sudden
C) easy
D) snap
Answers
after your brother asked a simple question why did you Snap at him?
I made a Snap decision that I regretted later.
Camryn practice the trumpet every 11th superscript day and the flute every 3rd superscript day.camryn practiced both the trumpet and the flute today. How many days until camryn practices the trumpet and flute again in the same day?
Answers
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33
11, 22, 33
They both will happen on the 33rd day, so Camryn will have both lessons again in 33 days.
A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot
Answers
then, x = [tex] \sqrt{14400} [/tex] = 120 feet has the other dimension of the lot.
The other dimension of the rectangular lot is 120 feet.
Explanation:In a rectangular lot, the diagonal forms a right triangle with the two sides of the rectangle. We can use the Pythagorean theorem to find the length of the other dimension of the lot.
Let's assume that the other dimension of the lot is x feet. The diagonal, which is 130 feet, is the hypotenuse of the right triangle. The two sides of the rectangle are 50 feet and x feet.
Using the Pythagorean theorem, we have:
x2 + 502 = 1302
x2 + 2500 = 16900
x2 = 14400
x = √14400 = 120
Therefore, the other dimension of the lot is 120 feet.
What type of triangle has 3 sides that are the same length?
Answers
An equilateral triangle is a triangle in which all 3 side lengths are the same.
Hope this helped☺☺
A plane is flying at an altitude of 12,000 meters. From the pilot the angle of depression to the airport is 32. How far is the tower from a point directly beneath the plane?
Answers
Of the 34 cars in a parking lot, 20 are green, 8 are gold, and the rest are black. What are the odds against the next car leaving the lot being black?
Answers
The odds against the next car leaving the parking lot being black are calculated by finding the number of black cars (6) and using the formula (Total cars - Black cars) : Black cars, which results in odds of 14:3.
To answer the question regarding the odds against the next car leaving the parking lot being black, we need to calculate the number of black cars and then the odds.
There are a total of 34 cars in the lot, with 20 green and 8 gold, so the rest are black.
To find the number of black cars, subtract the number of green and gold cars from the total:
34 (total cars) - 20 (green cars) - 8 (gold cars) = 6 (black cars).
The odds in favor of an event are the ratio of the probability of the event happening to the probability of it not happening. Therefore, the odds against an event are just the opposite -- the ratio of the probability of the event not happening to the probability of it happening.
To calculate the odds against picking a black car, we use this ratio:
Odds against a black car = (Total cars - Black cars) : Black cars
Odds against a black car = (34 - 6) : 6
Odds against a black car = 28 : 6
Odds against a black car = 14 : 3.
So, the odds against the next car leaving the lot being black are 14:3.
find the value of sin2a, if tana=-12/5 in the fourth quadrant
Answers
Recall the following identities:
[tex]1+\tan^2a=\sec^2a=\dfrac1{\cos^2a}[/tex]
[tex]\cos^2a=\dfrac{1+\cos2a}a[/tex]
from which we get
[tex]1+\left(-\dfrac{12}5\right)^2=\dfrac1{\cos^2a}[/tex]
[tex]\implies\cos^2a=\dfrac{25}{169}[/tex]
Since [tex]a[/tex] is in the fourth quadrant [tex]\left(\dfrac{3\pi}2<a<2\pi\right)[/tex] we know that [tex]\cos a[/tex] should be positive, so when we take the square root here, we should take the positive root.
[tex]\implies\cos a=\sqrt{\dfrac{25}{169}}=\dfrac5{13}[/tex]
Now recall that
[tex]\cos^2a+\sin^2a=1[/tex]
and since [tex]a[/tex] is in the fourth quadrant, we expect [tex]\sin a[/tex] to be negative. So,
[tex]\sin^2a=1-\cos^2a=\dfrac{144}{169}\implies\sin a=-\sqrt{\dfrac{144}{169}}=-\dfrac{12}{13}[/tex]
One final identity:
[tex]\sin2a=2\sin a\cos a[/tex]
from which we get
[tex]\sin2a=2\cdot\left(-\dfrac{12}{13}\right)\cdot\dfrac5{13}=-\dfrac{120}{169}[/tex]
A newspaper article about an opinion poll says that 43% of Americans approve of the president's overall job performance." Toward the end of the article, you read: The poll is based on telephone interviews with 1210 adults from around the United States, excluding Alaska and Hawaii." What variable did this poll measure? What population do you think the newspaper wants information about? What was the sample? Are there any sources of bias in the sampling method used?
Answers
Answer:
Can you space it out a bit more to understand better.
Step-by-step explanation:
3h/h^2-12h+36 -18/h^2-12h+36
Answers
[tex] \frac{3h}{h^2-12h+36} - \frac{18}{h^2-12h+36} = \frac{3h-18}{h^2-12h+36} [/tex]
Notice that we have a common factor, 3, in the numerator, so lets factor that out:
[tex]\frac{3h-18}{h^2-12h+36}= \frac{3(h-6)}{h^2-12h+36} [/tex]
Next, we can factor the denominator:
[tex]\frac{3(h-6)}{h^2-12h+36} = \frac{3(h-6)}{(h-6)^2} [/tex]
Now we can cancel the common factor [tex]h-6[/tex] in both numerator and denominator:
[tex]\frac{3(h-6)}{(h-6)^2}= \frac{3}{h-6} [/tex]
We can conclude that the result of 3h/h^2-12h+36 -18/h^2-12h+36 is: [tex] \frac{3}{h-6} [/tex]
3h/h^2-12h+36- 18/h^2-12h+36=3h-18/h^2-12h+36
Let us factor the common termsx(h-6)/h^2-12h+36= 3(h-6)/(h-6)^2
So since h-6 are similar, we can cancel the numerator and cancel 1 term in the denominatorso,3(h-6)/(h-6)^2=3/h-6
SO the answer of 3h/h^2-12h+36 -18/h^2-12h+36 is 3/h-6