Complete Question:
A closed box has a square base with side length L feet and height h feet. Given that the volume of the box is 39 cubic feet, express the surface area of the box in terms of L only.
Answer:
[tex]A = \frac{156}{L} + 2L^2[/tex]
Step-by-step explanation:
Given
[tex]Volume = 39ft^3[/tex]
Required
Express the surface area in terms of L
Because the box has a square base:
The volume is:
[tex]Volume = Base\ Area * Height[/tex]
Where
[tex]Base\ Area = L * L[/tex]
So, we have:
[tex]Volume = L * L * H[/tex]
Substitute 39 for Volume
[tex]39= L * L * H[/tex]
[tex]39= L^2 * H[/tex]
Make H the subject
[tex]H = \frac{39}{L^2}[/tex]
The surface area (A) of a box with square base is:
[tex]A = 2(LH + LH + L^2)[/tex]
[tex]A = 2(2LH + L^2)[/tex]
Open bracket
[tex]A = 4LH + 2L^2[/tex]
Substitute [tex]\frac{39}{L^2}[/tex] for H
[tex]A = 4L * \frac{39}{L^2} + 2L^2[/tex]
[tex]A = \frac{4L *39}{L^2} + 2L^2[/tex]
[tex]A = \frac{4*39}{L} + 2L^2[/tex]
[tex]A = \frac{156}{L} + 2L^2[/tex]
I HAVE 10 min to finish PLEASE I NEED HELP WITH MATH
Answer:
90 degrees
Step-by-step explanation:
which equation represents a line parallel to the y axis?
A: y=x
B: x=4
C: y=4
D: y=x+4
use substitution X+y=11 -x=-y-9
Answer:
-(_y)-11=-y-9
Y-11=-y-9
2y=2
Y=1
James can eat 12 jelly beans per minute, and Jenny can eat 8 jelly beans per minute. How
many minutes will it take Jenny and James to eat a combined total of 100 jellybeans?
Answer:
5 mins.
Step-by-step explanation:
hope his helps good luck
Answer:
5 minutes
Step-by-step explanation:
Evaluate: (4x¹⁴)(8x¹¹) *
Answer:
32x^25
Step-by-step explanation:
4x^14*8x^11
what is F?
H is 5m
I is 8m
G is 10m
Answer: F is 11m.
Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.
A railroad car container can hold 66,000 pounds. Mr. Evans wants to ship 80 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers could be shipped in the container. Each oven
weighs
300 pounds
Answer:
70 freezersStep-by-step explanation:
Each oven weights 300 pounds and there 80 ovens:
80*300 = 24000 poundsWeight left for freezers:
66000 - 24000 = 42000 poundsNumber of freezers could be added:
42000/600 = 70the answer is 5.
22. What is the minimum speed needed to travel at least 440 miles in 8 hours? Choose and
justify a solution (54 mph, 55 mph, 56 mph)
Answer:
440ml divide 8hrs = 55mph
Suppose that quiz scores in a beginning statistics class have a mean of 6.6 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 4.8 and 8.4
Answer:
88.89%
Step-by-step explanation:
Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4
The calculated minimum percentage value of quiz scores between
First step is to calculate the lower k value using this formula
k=(x1−m)/s
Where:
x1 represent first random value 4.8
x2 represent second random value 8.4
m represent mean 6.6
s represent standard deviation 0.6
Let plug in the formula
k=(4.8−6.6)/0.6
k=−1.8/0.6
k=−3
Second step is to calculate the upper k value
k=(x2−m)/s
k=(8.4−6.6)/0.6
k=1.8/0.6
k=3
Now let calculate the minimum percentage
Using this formula
Minimum percentage=1−1/k^2
Let plug in the formula
Minimum percentage=1−1/3^2
Minimum percentage=1−1/9
Minimum percentage=1−0.1111
Minimum percentage=0.8889*100
Minimum percentage=88.89%
Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%
Answer:
75%
Step-by-step explanation:
5.2−6.40.6=−2 and 7.6−6.40.6=2.
This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.
According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.
Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.
quick ASAP 25 POINTS AND BRAINLIEST FOR BEST ANSWER
Multiplying Rational Expressions
Simplify each expression
(1/p-9)*(p^2+6p-27/p+9)
Answer:
-9p3 + 6p2 + 9p - 26/ p
Step-by-step explanation:
hope this helps
Please see the attachment. Thank you
EMERGENCY!!!!
I have fallen and can't get up.
Answer:
do you need a bandaid?
Step-by-step explanation:
Step-by-step explanation:
Wth?
Are u okay??
call 911
Can u guys help me quick plz I will make brainliest (I need help with 32)plzzzz
Answer:
A
Step-by-step explanation:
WG-W Online Textboo
WOODALFEPNSNJ
Homework 6.4-6.6
Question 8 of 13 (1 point) | Question Attempt: 1 of Unlimited
Tin
✔ 1
2
X 4
✓5
✓6
8
9
10
11
X 12
13
The Watson family and the Nelson family each used their sprinklers last summer. The water output rate for the Watson family's sprinkler was 35 L per hour. The
water output rate for the Nelson family's sprinkler was 25 L per hour. The families used their sprinklers for a combined total of 60 hours, resulting in a total
water output of 1700 L. How long was each sprinkler used?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer:
We have two variables W and NW= 35 L N = 25L Total: 60 hrs respectfully between W and N Total Water: 1700 L 35W + 25N = 1700 (1)W + N = 60 (2)Just substitute!N = 60 + W 35W + 25(60 + W) = 170035 W + 1500 + 25W = 170060W + 1500 = 170060W = 200 W = 3.33 Now solve for NQuestion 14 options: x−93=28 Solve for x.
Answer:
x = 121
Step-by-step explanation:
In order to solve for "x" you need to get it on one side by itself. To do that you need to add 93 to the other side. 93 + 28 is 121.
Answer:
121
Step-by-step explanation:
x-93=28
x=28+93
x=121
One-third of the total number of marbles in a jar are blue and green. There are 24 blue marbles and 18 green marbles. How many marbles are in the jar?
Answer:
126 marbles
Step-by-step explanation:
if 42 is 1/3 of the jar, times it by 3 and that's the total.
Answer:
126 marbles
Step-by-step explanation:
24 - blue
18 - green
42 are blue or green
let 't' = total number of marbles
1/3t = 42
t = 42 x 3 = 126
A swimming pool has a leak and is losing 23.5 gallons of water every 5 days. What is the average change in water volume each day?
Step-by-step explanation:
If you divide the distance by the elapsed time, the result will be the rate of water loss (evaporation). To convert this evaporation rate in to gallons lost over a specific time period, you will need convert the measure into a volume. WTG GLAD U GOT IT RIGHT..
Please answer whoever answer correct gets a brainlest Which character trait of Kim’s does the narration revel in this passage
Answer:
She is determined
Step-by-step explanation:
Answer:
Determined
Step-by-step explanation:
Six out of the 12 members of the school choir are boys. In simplest form, what fraction of the choir is boys?
Answer:
1/2
Step-by-step explanation:
Randy purchases a cap for $12. The store charges him 7% sales tax on the purchase. How much sales tax will the store charge on the purchase?
Answer:The answer is (D)
Step-by-step explanation:Just took he quiz
Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6. Question 18 options: A) –2 ≤ x 3 C) x 3
Answer:
x>3 or x≤-2
Step-by-step explanation:
4x-7>5 or 5x+4≤-6
4x>5+7 or 5x≤-6-4
x>3 or x≤-2
What’s the answer? I have to pass with my credits for high school
Please I really need help!!
(Solve using tape diagrams)
Serena's mom is planning her birthday party. She bought balloons, plates, and cups. Serena's mom bought twice as many plates as cups. The number of balloons Serena's mom
bought was half the number of cups. If Serena's mom bought 84 items, how many of each item did she buy?
Answer:
look at the picture
Step-by-step explanation:
the picture explains everything
1. What is 5% of 224?
Answer:
11.2
Step-by-step explanation:
224 x 0.05 = 11.2
Hope this helped!
i believe it is 12.2
What transformation has occurred
Answer:
Step-by-step explanation:
distributive
Drag the point A to the location indicated in each
scenario to complete each statement.
Answer:
The answer is...
1: quadrant III
2: quadrant II
3: quadrant IV
4: quadrant I
Step-by-step explanation:
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
What is Coordinate system?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.
The point A to the location indicated in each scenario.
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||
If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||
If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V
If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
Hence, A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
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Which digit is in the billions place?
281 847 583 332.9
Answer:
1
Step-by-step explanation:
281,847,583,332.9
Answer:
I think 847
Step-by-step explanation:
The order of place value is trillion, billions, millions, thousands, and ones. Billion comes third. This is why I think its 847.
I hope this helps u! :D
A frozen yogurt shop has a combination of 150 small and medium sized bowls on their counter. Each small bowl hold 4 ounces and each medium bowl holds 6 ounces. If the bowls on the counter will hold a total of 764 ounces, find the number of small and medium sized bowls on the counter
The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
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 number of small bowls on the counter be = x
Let the number of medium bowls on the counter be = y
The total number of bowls is = 150
So , the equation will be
x + y = 150 be equation (1)
The amount the small bowl can hold = 4 ounces
The amount the medium bowl can hold = 6 ounces
The total amount of all the bowls on the counter = 764 ounces
So , the equation will be
4x + 6y = 764 be equation (2)
Now , on simplifying the equation (1) and equation (2) , we get
Multiply equation (1) by 4 , we get
4x + 4y = 600 be equation (3)
Subtracting equation (3) from equation (2) , we get
2y = 164
Divide by 2 on both sides , we get
y = 82
Therefore the number of medium sized bowl is 82 bowls
Substituting the value of y in equation (1) , we get
x + y = 150
x + 82 = 150
Subtracting 82 on both sides , we get
x = 68
Therefore , the number of small sized bowl is 68 bowls
Hence ,
The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
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reflect point a (1,1) over y axis
Answer:
reflected across the y axis, the point (1, 1) becomes (-1, 1).
Step-by-step explanation:
To reflect a point across the y-axis, all you need to do is negate the x coordinate. That gives you (-1, 1)
1. Which of the following is an irrational number?
A. 3
B. 3.666...
C. 19
D. Vg
Answer:
Vg
Step-by-step explanation:
All the others are decimals
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