Answer:
125 units^3
Step-by-step explanation:
Volume is l*w*h = V. A cube has all equal sides so wecan divide 1000 by 3 and get our side lengths.
You then divide the sides by 2 because the question says the second cubes sides are half the size
5*5*5 = 125
The volume of the second cube is 125 units³.
What is volume?In mathematics, ‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given that a cube has volume 1000 units³ and another smaller cube has smaller volume has side only half as long.
We need to find the volume of the second cube,
So, let the side of the first cube be x,
We know that the volume of a cube = side³
Therefore,
x³ = 1000
x = ∛1000
x = 10 units
Therefore, the second cube will have a side of 10/2 = 5 units
Volume of second cube = 5³ = 125 units³.
Hence the volume of the second cube is 125 units³.
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Use the spinner to find the theoretical probability of spinning a 1 and then a 2. Round answer to the nearest hundredth. A spinner is divided into 9 equal sections. Starting from the top right and moving clockwise direction, the regions are labeled 1,2,3,4,5,6,7,8, and 9. The spinner pointed at near the boundary line of 3.
Answer:
1/18
Step-by-step explanation:
yur welcome
help mee !!!
The rectangular floor of a classroom is 36 feet in length and 32 feet in width. A scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing? Show all work
Answer:
72
Step-by-step explanation:divide 36 by 9 and find the ration is 4. Apply same ratio to the width and the result is 8; 32/4=8. Area of rectangle is length times width; 9x8=72 sq inches
help out please !
Select all of the quadratic expressions in vertex form.
A (2+4)^2– 3
B (- 5)^2+ 2
C x^2+ 2x + 5
D x (x+2)
E (2+4)^2
Answer:
A C E
Step-by-step explanation:
Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?
Answer:
470.81 or 470.815
Step-by-step explanation:
In the rectangle LOBA, if m∠1 = 36°. Find m∠OBA and m∠2.
m∠OBA =
m∠2 =
Answer:
90 54
Step-by-step explanation:
3. How would you explain to someone who has not yet studied trigonometry the
difference between an identity and an equation?
Answer:
Solving an equation means finding the value or values for which the two expressions are equal. ... An identity is an equation which is always true, no matter what values are substituted.
A trig identity is an equation that is true for all values of x;
For example:
sin²x + cos²x will always equal 1 no matter what the value of x.
There are some equations considered to be identities that are in fact not true all the time.
tan(2x) = 2tanx/(1 - tan²x) is not true when x = π/2 (right side is undefined).
A conditional equation is one that is true for a subset of the real numbers, i.e. for certain values of x, but not all.
For example:
sin²x - 1 = 0 is only true for some values of x.
sin²x = 1
sinx = ±√(1) = ±1
sinx = 1 or sinx = -1
x = sin-11 or x = sin-1(-1)
x = π/2 + 2kπ, k any integer or x = 3π/2 + 2kπ, k any integer (this can be condensed, but left this way for emphasis).
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The location of four buildings on a coordinate grid are as follows:
Building 1 is at (−5, −3).
Building 2 is at (−5, 5).
Building 3 is at (4, 5).
Building 4 is at (4, −3).
A bike courier begins at building 1 and then delivers packages to building 2, then building 3, and then building 4. Then she bikes back to building 1. The path between each building is a straight line. One unit on the coordinate grid equals 100 feet.
What is the total distance the courier biked?
Enter your answer in the box.
Answer:
3400 feet
Step-by-step explanation:
Distance between building 1 and building 2 = |5+3| = 8
Distance between building 2 and building 3 = |4+5| = 9
Distance between building 3 and building 4 = |-3-5| = 8
Distance between building 4 and building 1 = |4+5| = 9
total distance = 8 x 2 + 9 x 2 = 34
total distance in feet = 34 x 100 = 3400 feet
Answer: 3400 feet
Step-by-step explanation:
There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 238.5 grams of this cereal
Answer: 147.87 calories
Step-by-step explanation:
Let the amount of calories in 238.5 grams of this cereal be represented by x.
Based on the information given, we can form an equation as:
110/177.4 = x/238.5
Cross multiply
177.4 × x = 238.5 × 110
x = (238.5 × 110) / 177.4
x = 147.87
Therefore, there are 147.87 calories in 238.5 grams of this cereal.
In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?
Answer:
120 gold is in the alloy
Step-by-step explanation:
G:S
6:4
6+4=10
200/10=20
20*6=120
Hope this helps!
Fill in the blank in the sentence below with the correct term. The ___________ is the number or numbers that occur most often in a set.
Determine the quadratic curve of best fit for the data. Then estimate what the value of will be when = −4. {(−3,2), (0,5), (1,7.3), (−1,3.3), (−6,5), (−7,7.3)} Answer choices 4.3 5.3 3.3 2.3
Answer:
The value of 'y' when x = -4 is 2.3
Step-by-step explanation:
Curve of best fit can be found by plotting the points on MS Excel and drawing a curve that goes through the points as shown in the attached graph
The equation that approximate the curve from which the y-value at a x-value of -4 can be estimated is found as follows
The general equation for a quadratic equation is y = a·x² + b·x + c
Therefore, we get;
2 = a·(-3)² + b·(-3) + c
2 = 9·a - 3·b + c
5 = 0·a + 0·b + c
5 = c
7.3 = 1·a + 1·b + c = a + b + 5
7.3 = a + b + 5
2.3 = a + b
2 = 9·a - 3·b + 5
-3 = 9·a - 3·b
Solving gives;
a = 13/40, b = 79/40
The equation of the quadratic curve is therefore;
y = (13/40)·x² + (79/40)·x + 5
When x = -4, we get;
y = (13/40)·(-4)² + (79/40)·(-4) + 5 = 2.3
When x = -4, y = 2.3
Plotting the points on MS Excel we find from the attached graph that the estimated value of 'y' when x = -4 is as calculated (2.3).
5
What is the area of the figure?
25 mi
12 mi
20 mi
18 mi
8 mi
43 mi
square miles.
Answer:
Evaluate the following: 77 - |( -8)(3) + (-10)(4)|
Answer:
13
Step-by-step explanation:
77−|(−8)(3)+(−10)(4)|
=77−|−24+(−10)(4)|
=77−|−24+−40|
=77−|−64|
=77−64
=13
Hope this helps
Find the slope of the line
Answer:
1/2
Step-by-step explanation:
Pick two points on the line
I picked (0, 2) and (2, 3)
m = (3-2)/(2 -0) = 1/2
what is the anwser for 7x−x
Answer:
6x
Step-by-step explanation:
7x - x
6x
Use the distributive property to simplify this expression 4(-6z + 4)
Answer:
-24z+16
Good luck!
(1+i)(3-5i) equals what
Answer:
8-2i
Step-by-step explanation:
PLEASE HELP ME!!! ITS DUE TONIGHT!!!
A number cube labeled 1 through 6 is rolled once in the spinner shown is spun once. The spinner has four equal sized sections. This experiment is repeated 60 times. The relative frequency for getting a sum of five was 1/5. What is the difference between the number of expected outcomes in the number of actual outcomes?
Answer:
2
Step-by-step explanation:
I did it on Mc Graw Hill
Difference between number of expected outcomes and number of actual outcomes is; 2
What is the number of outcomes?
From the question, we are told that the number cube is labelled from 1 to 6.
This means that there are supposed to be 6 expected outcomes.
However, from the spinner, we see only 4 numbers which are 1, 2, 3 and 4. This means the number of actual outcomes will only be 4.
Thus;
Difference between expected outcome and actual outcome = 6 - 4 = 2
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Find the length of CE
A. 17.8 units
B. 27.8 units
C. 37.8 units
D. 51.5 units
Answer:
B. 27.8 units
Step-by-step explanation:
Hope it Help
The gas mileage of Car A is 21 miles per gallon. The gas mileage of Car B is 30 miles per gallon. Which of the following graphs would represent this data most accurately?
Answer:
Do you have the pictures? Otherwise I'm afraid I can't help you haha. Show me the pictures and I'll have you an explanation and answer :)
Step-by-step explanation:
Please Help ASAP
A car travels 220 miles in 4 hours. If the car travels at the same speed, how far will it have traveled after 6 hours?
Answer: 330
Step-by-step explanation:
220 divided by 4 is 55 meaning 55x4=220 so in that case 55x6=330
Answerrrrrrrrrr: )?
Answer:
I think the answer is D
Step-by-step explanation:
(x+5<2) help quick im at school testing..
Answer:
x<-3
Step-by-step explanation:
(x+5<2)
Subtract 5 from both sides;
x+5-5<2-5
Simplify;
x<-3
Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!!
Find 5 Rational Numbers Between 1 and 2 using (a+b/2) where a=1 and b=2.
Answer:
There are two ways to find the rational number between any two numbers. I will tell you an easy method to find it.
As we have to find 5 rational numbers between 1 & 2
Take 5 and add 1 to it i.e. 5+1= 6
Now take the first number and multiply and divide it by 6 i.e.
1x6/6 = 6/6
Also take the second number and multiply and divide it by 6 i.e.
2x6/6= 12/6
This is done to convert 1 & 2 into rational number i.e. in form of p/q
Now we have two numbers 6/6 and 12/6 so five rational numbers between them are
7/6, 8/6, 9/6, 10/6, 11/6
The values of these number you can check will be between 1 & 2. Actually between any two number there are infinite number of rational numbers.
write in slope intercept form: 4x-5y= -20
Step-by-step explanation:
4x - 5y = -20
-5y = -4x -20
y = 4/5x + 4
Gabe mails two packages. One package weighs as much as the other
package. The total weight of the packages is 7 lb. Write and solve an equation
to find the weights of the two packages. Show your work.
I have to write an equation and then solve it. Help.
Answer:
Both packages are 3.5 lb.
The equation is 7 / 2
Step-by-step explanation:
All you have to do is divide 7 by 2.
7 / 2 = 3.5
3.5 * 2 = 7
So, the answer is 3.5
Hope this helps! :)
A scientist uses 8.5 grams of carbon every 30 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?
Answer:
34
Step-by-step explanation:
A perfectly square cornfield has an area of 9 miles. Which of the following is true>
A, Each side of the field is 9 miles long
B, Each side of the field is 3 miles long
C Each side of the field is 2.25 miles long
D Each side of the field is 900 miles long
Answer:
The answer is b
Step-by-step explanation:
imagine needing help on a brain pop quiz
When you exercise, your target heart rate r at 70% can be determined by the formula r = 0.7(220 − a) where a represents your age in years. Solve the formula for a.
PLEASE HELP
solve the system of equations x+y=6 and y+3x=4
Answer: x=-1, y=7. 1st eqaution=-1+7=6, 2nd eqaution=7+-3=4