Given:
The volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
[tex]V=(side)^3[/tex]
[tex]V=a^3[/tex]
It is given that the volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
[tex]a^3=\dfrac{1}{8}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{1}{2}[/tex]
Now, the perimeter of each face of a cube is:
[tex]P=4a[/tex]
Where, a is the side length of the cube.
Putting [tex]a=\dfrac{1}{2}[/tex], we get
[tex]P=4\times \dfrac{1}{2}[/tex]
[tex]P=2[/tex]
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
Answer: It's 2 meters
A ball is thrown from a height of 49 meters with an initial downward velocity of 2 m/s. The ball's height h (in meters) after t seconds is given by the following.
[tex]h=49-2t-5t^2[/tex]
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
A ball is thrown from an initial height of 6 feet with an initial upward velocity of 40ft/s . The ball's height h(in feet) after t seconds is given by the following. h=6+40t-16t^2 Find all values of t for which the ball's height is 28feet. Round your answer(s) to the nearest hundredth.
help me pls. not links pls
The statement below is a different way to say that the sides of these similar parallelograms are proportional.
Complete the equations that go with the statement.
The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] , [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] , [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Similar figures are those figures whose ratio of the length of sides are proportional.
Similar figures only differ in size, their shape is equal.
The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.
So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.
Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] , [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] , [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].
Learn more about Parallelogram here :
https://brainly.com/question/29147156
#SPJ1
Answer:The first one is 16 and the second one is 18
Step-by-step explanation:
Roediger and Karpicke (2006) investigated whether the test-enhanced learning effect (the demonstration that repeated testing improves memory for material) was due merely to repeated exposure to material. They randomly assigned participants to one of two study conditions (study-study or study-test) and to one of three retention interval conditions (final test at a delay of 5 minutes, 2 days, or 1 week). The dependent variable was the proportion of idea units recalled from an encyclopedia passage. How many cells does this study have
Answer:
6 cells
Step-by-step explanation:
2 by 3 between groups ANOVA will be performed where independent variables are 2 and dependent variables are 3.There are total 6 cells
Independent Var 1 Independent Var 2
Dependent Var 1 1*1 1*2
D. VAr 2 2*1 2*2
D. Var 3 3*1 3*2
There are total six cells.
Study-Study Study-Test
5 minutes, 1*1 1*2
2 days, 2*1 2*2
1 week 3*1 3*2
Pls pls help quick I rlly don’t know I just need a value for x
Step-by-step explanation:
3(x - 3) = 3(2x - 3)
3x - 9 = 6x - 9
- 3x - 9 = -9
-3x. = 0
x = 0
Cos=?
Help help help
Answer:
The answer is C. 35/37
Step-by-step explanation:
We know that cos Θ = adjacent/ hypotenuse
so the answer is 35/37.
Answer:
it's I believe it's (A) 12 / 37
A point in the figure is selected at random. Find the probability that the point will be in the shaded region
Answer:
60%
Step-by-step explanation
Answer:
60
Step-by-step explanation:
At the beginning of 2007, the population of a certain state was 55.4% rural and 44.6% urban. Based on past trends, it is expected that 15% of the population currently residing in the rural areas will move into the urban areas, while 21% of the population currently residing in the urban areas will move into the rural areas in the next decade. What was the population distribution in that state at the beginning of 2017
Answer:
New Rural Urban distribution = 56.4 , 43.4
Step-by-step explanation:
Let the total population be = 100
The rural urban distribution = 55.4% & 44.6% of 100 = 55.4 & 44.6 respectively
Given , 15% of rural population shifts to urban. So, 15% of 55.4 ie = 8.31 shift from rural to urban.
Also, 21% of urban population shifts to rural. So, 21% of 44.6 , ie = 9.36 shift from urban to rural.
So, New rural population = old rural - rural to urban shift + urban to rural shift = 55.4 - 8.31 + 9.36 = 56.39 ≈ 56.4
New urban population = old urban - urban to rural shift + rural to urban shift = 44.6 - 9.36 + 8.31 = 43.55 ≈ 43.4
So, the new distribution is = 56.4 , 43.4
The basic wage earned by a truck driver for a a 40 hour week is 560.00$ for overtime work the driver is paid one and a half hour time daily hourly rate calculate his overtime
Answer:
$7
Step-by-step explanation:
overtime = 1/2 x daily hourly rate
daily hourly rate = amount earned in a week / total hours worked
560 /40 = 14
overtime = 14/2 = 7
help!!!! is it true or false?
Answer:
False.
Step-by-step explanation:
R and S represent positive integers on a number line and R
Answer:
D u got it right if thats wrong then its C
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZ
Answer:
The answer is c. I know the rest of the problem, I have done this before. The full question is:R and S represent positive integers on a number line
and R<S. Which of the following could be the
positions of R and S ? Both R and S is on the right of 0, and R is behind S.
Step-by-step explanation:
Can someone help with work included!!
Answer:
Heather
Step-by-step explanation:
If you use pythagorean theorm you can set up the equations for each girl.
For Heather, 12^2+5^2=13^2 and you determine if this is true. Each side equals 169 so therefore the equation is true.
A pound of ground beef costs $5. At this rate, what is the cost of 1/2 pound?
Answer:
$2.50
Step-by-step explanation:
5 x 1/2 =
5/2 =
2 1/2
each half is .50
Answer:
2.5$ ( 2 Dollars And 50 Cents )
Step-by-step explanation:
Since your dividing the amount of beef by 2 , you also have divide the cost by 2 . 5$ divided by 2 is 2.5$ .
find the general solution to "+′−6=3^2
Answer:
answer is -6=9
Step-by-step explanation:
c) If Sam only has $25. how much fuel can be bought for $1.40/L?
Answer:
17.86 liters of fuels
Step-by-step explanation:
25 / 1.40 = 17.86
Or 17 if you cannot buy for less than $1.40
Find the simple interest earned on $1500 at 7% p.a. for 5 years.
Answer:
simple interest = $525
total amount = $ 2025
Some students were asked to pick their favourite Action Hero.
3/5 chose Batman, 20% chose Hulk and the rest chose Iron Man.
.
Write the ratio of Batman: Hulk: Iron Man in Simplest form.
Select one:
a. 6:2:2
b. 60: 20:20
c. 3:1:1
Answer:
a
Step-by-step explanation:
First convert 3/5 to a percentage.
3/5 is 60% and 20% of the students chose Hulk. That leaves 20% who chose Iron Man. The simplest form of 60:20:20 is 6:2:2.
HELP QUICK PLEASE
• he can buy calculators 1 at a time for $9.88
• he can buy calculators in packages of 8 for $68.88
In the past his median class size has been 28 students in the inter-quartile range of his class sizes have been for students he wants to pay the lowest possible price and have enough calculator so each pair of students will most likely have one calculator to share
Which statement best describes the number of calculators Mr. Benson should buy and how much would he spend
A. Mr. Benson should buy 13 calculator since his median class size is 28 and he probably won’t have more than 30 students he can buy 15 calculators for $138.04.
B. Mr. Benson should buy 15 calculator since his median class size is 28 and he probably won’t have more than 30 students he can buy 15 calculators for $148.20.
C. Intervention should buy 16 calculators in his median class size is 28 and he probably won’t have any more than 32 students he can buy 16 calculators for $137.76
D. Mr. Benson should buy 16 calculator since his median class size is 28 and he probably won’t have more than 32 students he can buy 16 calculators for $158.08
Answer:
A
Step-by-step explanation:
Fill in the missing values.
The table represents an exponential function.
What is the multiplicative rate of change of the
function?
х
1
2
y
2
2
5
2
25
2
125
3
4
02
05
Answer:
1/5
Step-by-step explanation:
correct on edg :)
An exponential function is a nonlinear function
The multiplicative rate of change of the function is 1/5
From the table, we have the following ordered pairs
(x,y) = (1,2) and (2,2/5)
Divide the y values, to calculate the rate (r)
[tex]r = \frac 25 \div 2[/tex]
This gives
[tex]r = \frac 15[/tex]
Hence, the multiplicative rate of change of the function is 1/5
Read more about exponential functions at:
https://brainly.com/question/11464095
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Question 1
Answer: C) First and last term
----------------
Explanation:
Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.
The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.
=========================================================
Question 2
Answers:
Root of the first term = 9vRoot of the last term = 10----------------
Explanation:
Apply the square root to the first term to get
sqrt(81v^2) = sqrt( (9v)^2 ) = 9v
Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.
Similarly, the square root of the last term is
sqrt(100) = sqrt(10^2) = 10
So that's why the answers are 9v and 10 for the blanks.
We can say:
(a+b)^2 = a^2 + 2ab + b^2
(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2
(9v+10)^2 = 81v^2 + 180v + 100
How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)
Answer:
4 1/2 cups of ice cream
Step-by-step explanation:
since the denominators are the same, we look at the numerator.
2 x 4 = 8 out of 9 cups
Kayla is painting a room that is 12 feet long and 12 feet wide. The ceiling in the room is 8 feet high. The cost of painting the walls and door is $0.33 per square foot. The cost of painting the ceiling is $0.66 per square foot. Enter the cost, in dollars, for Kayla to paint the room.
Answer: $221.76
Step-by-step explanation:
Each wall has a length of 12 and a height of 8 and there are 4 walls
(12 x 8) x 4 = 384 sq ft
multiply sq ft by cost ($0.33)
384 x 0.33 = $126.72 for the walls and door
The ceiling has a length of 12 and a width of 12
12 x 12 = 144 sq ft
multiply sq ft by cost ($0.66)
144 x 0.66 = 95.04
add the costs
126.72 + 95.04 = $221.76 total
image of drawing of room
A square has a perimeter of 8g + 16. Which expression also represents the perimeter given the side length of the square?
Answer:
4(2g+4)
Step-by-step explanation:
8g+16
Since this expression represents the total perimeter, we need one side length. So we divide this by 4, because it's a square and all sides are of equal length.
8/4=2
16/4=4
One side is 2g+4. So multiply that equation by 4.
4(2g+4)
DOUBLE CHECK
4(2g+4)
8g+16
---
hope it helps
Answer:
4(2g+4) :):):):):):):):):):):):)
A. -5
B. 11
C. 38 - 8i
D. 3+ 8i
Answer:
D.
Step-by-step explanation:
Answer:
Step-by-step explanation:
D
If sin 52° = 0.788, what is the approximate value of
cos 38°?
No link pls
Answer:
0.788
Step-by-step explanation:
Sin 52° = 0.788
Therefore
Cos 38° Is 0.788
The approximate value for 38° is 0.788
Match the like terms.
3x^4 6x -8
-8x
6x^4
3
Answer:
6/3
8/4
we can keep 6/8 also but we can't keep 3/8
What is the interquartile range (IQR) of the data set represented by this box plot?
Answer:
The IQR (interquartile range) of the data set represented by this box plot is 22 units.
Step-by-step explanation:
Each number of the data set represented as a box plot is something the numbers have individually. The lowest number there (the first number), 38, is called the minimum. The highest number there (the last number), 75, is called the maximum. The second number there, 45, is called the lower quartile. The third number there, 50, is called the median or middle quartile. The fourth number there, 67, is called the higher quartile. In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.
67 (highest quartile) - 45 (lower quartile) = 22 (interquartile range)
Therefore, the IQR (interquartile range) of the data set represented by this box plot is 22 units.
Answer:
It’s 22
Step-by-step explanation:
A marble will be drawn from the ba and replaced 100 times
Answer:
What
Step-by-step explanation:
Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of zo = 4.
a. 13+ 4i, 28 + 9i, 59+ 20i
c. 11 + 2i, 25 + 6i, 53 + 14i
b. 13 - 4i, 28 - 9i, 59 - 20i
d. 11 - 2i, 25 - 6i, 53 - 14i
Answer:
D. 11 - 2i, 25 - 6i, 53 - 14i
Step-by-step explanation:
correct on EDGE2021