Answer: .013, .130, .301, .31
Step-by-step explanation:
the volume of a cube is increasing at the rate of 12 in^3/min. how fast is the surface area increasing in square inches per minute, when the length of an edge is 20in.?
We want to find the rate of change of the surface for a cube of increasing volume.
When the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.
We know that for a cube of side length S, the volume is:
V = S^3
And the surface area is:
A = 6*S^2
Here we know that the volume increases at a rate of 12in^3/min.
Because the volume depends on the side length cubed, we can say that the side length increases at a rate of:
∛(12in^3)/min = 2.29 in/min
Then, as a function of time t in minutes, we can write the side length as:
S(t) = (2.29 in/min)*t
Then the surface area equation is:
A(t) = 6*((2.29 in/min)*t)*((2.29 in/min)*t)
A(t) = (31.46 in^2/min^2)*t^2
The rate of change is given by direct differentiation, we get:
A'(t) = 2*(31.46 in^2/min^2)*t
Now we need to evaluate this in the value of t such that the side length is equal to 20 in:
S(t) = 20in = (2.29 in/min)*t
(20in)/(2.29 in/min) = t = 8.73 min
Then we will get:
A'(8.73min) = 2*(31.46 in^2/min^2)*8.73min = 439.29 in^2/min
This means that when the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.
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Help help help please please
Answer:
x = 50Step-by-step explanation:
12 = 24% . x
12 = 24/100 . x
12 = 0.24x
12/0.24 = x
50 = x
Answer:
50 is the answer.
Step-by-step explanation:
12÷.24=50
to double check ur work do 50x.24 and it comes out to 12
Amadou bought snacks for his team's practice. He bought a bag of chips for $1.71 and a 24-pack of juice bottles. The total cost before tax was $26.91. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.
Building and solving an equation, it is found that each bottle of juice costs $1.05.
Her total cost of $26.91 is composed by:
A bag of chips that cost $1.71.24 juice bottles, each costing j.Hence, the equation is:
[tex]1.71 + 24j = 26.91[/tex]
Solving it, we find the cost of a bottle of juice, hence:
[tex]1.71 + 24j = 26.91[/tex]
[tex]24j = 25.2[/tex]
[tex]j = \frac{25.2}{24}[/tex]
[tex]j = 1.05[/tex]
Each bottle of juice costs $1.05.
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Giải phương trình nghiệm nguyên 14x+26y-714=0
Answer:
7
Step-by-step explanation:
bc
Please help do # 2 hurry!!! Will give brainliest
Answer:
2a) because they are continuous lines that don't intercept
Step-by-step explanation:
Answer:
2a) They all have the slope of 2x.
2b) R) y = 2x-3
2c) R is the lowest line because the b value (-3) has the least value out of the 3 choices.
Solve. −2x−35=87 Enter your answer in the box. x =
Hello there! I am Grace Rosalia (SilentNature), and I hope my answer will help you! :)
-2x-35=-87
-2x=-87+35
-2x=-52
Divide both sides by -2 to isolate x:
x=26
Hope this helps you! :)
~Just a joyful teen
[tex]SilentNature[/tex]
The solution of the given equation is x = -21.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation can be solved as follows,
−2x − 35 = 87
=> -2x = -35 + 87
=> -2x = 42
=> x = -42/2
= -21
Hence, the value of x for the given equation is -21.
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How to find the length and area of a rectangle?
Length of rectangle: Area÷width
Area: Length×width
please mark BRAINLIEST.
help? with complete solution please help me please
9514 1404 393
Answer:
13 ft(a) 1 second; (b) t = 0, t = 1/2Step-by-step explanation:
1.Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
5² +(w -1)² = w²
w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
26 = 2w . . . . . . . . . . . . add 2w
13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
__
2.(a) When h = 0, the equation is ...
0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
2t^2 -t -1 = 0
Factoring, we get ...
(2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
__
(b) When h = 8, the equation is ...
8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
0 = -2t^2 +t
0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
t = 0
t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.
Find the indicated values by using the graph.
1. h(2)=_____
2. h(4)=_____
3. h(1)=_____
4. h(5)=_____
5. h(____)=4
6. h(____)=1
7. What are the values for h(____)=2?
Answer:
1. 6
2. -1
3. 5
4. 2
5. -1
6. 5
7. 6
Anyone understand this? Please
Answer:
The sequence of transformation is 90 degrees counterclockwise rotation, followed by a horizontal translation to the right by 2 units.
The order pair rule for each are (x, y) to (-y, x) and (x+2,y)
80 precent of games is 32 games
Answer:
If you are asking for the whole number of game it is 40
Step-by-step explanation:
In the year 2007, a company made $2.2 million in profit. For each consecutive year
after that, their profit increased by 9%. How much would the company's profit be in
the year 2009, to the nearest tenth of a million dollars?
Answer:
4.796
Step-by-step explanation:
get the 9% which is .178 plus that by 2.2 and x 2
i am just completely lost at this point so pls just answer properly
Answer:
$80
Step-by-step explanation:
192÷12=16
16•5=80
Answer:
Elena puts in $80 into her savings account
Step-by-step explanation:
You need to multiply 5/12 and 192. Think of "5/12 x 192" as "5/12 of 192." If you don't know how to multiply a fraction with a whole number, you can convert the fraction to a decimal. Hope this helps!
rationalize the denominator of
[tex]4 \div \sqrt{x} + 2 \sqrt{y } [/tex]
Step-by-step explanation:
the answer is in the image above
Find the equation of the linear function represented by the table y0 5 10 15 x 1 2 3 4
Answer: Therefore, your equation of the function will be y = 4x – 4.
Step-by-step explanation:
solve pls branliest!
Answer:
(a) -7+3
(b)-7+(-3)
12. Determine the slope of the line having the equation 2x + y = 12
a. 2
b. -2
c. ½
d. -½
Answer:
b. -2
Step-by-step explanation:
Note the slope-intercept form: y = mx + b
Note that:
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:
2x (-2x) + y = (-2x) + 12
y = -2x + 12
Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2
b. -2 is your answer.
~
Answer:
b. -2
Step-by-step explanation:
2x+y=12
add -2x to both sides
y = -2x + 12
this is in slope intercept form y = mx + b
m meaning the slope
in this case the slope is -2
the answer will be b. -2
To raise funds for uniforms and travel expenses, the soccer team is holding
a car wash in a part of town with a lot of car and truck traffic. The team
spent $90 on supplies like sponges and soap. They plan to charge $10 per
car and $20 per truck. Their goal is to raise $460.
Question: how many cars do they have to wash if they washed t trucks??
9514 1404 393
Answer:
55 -2t cars
Step-by-step explanation:
The amount raised is the difference between the revenue and expenses. If c cars and t trucks are washed for a profit of $460 after expenses of $90, the equation can be written ...
460 = 10c +20t -90 . . . profit equation
550 = 10c +20t . . . . . . . add 90
550 -20t = 10c . . . . . . . subtract 20t
c = 55 -2t . . . . . . . . . . . divide by 10
They have to wash 55-2t cars if they washed t trucks.
what are 2 different ways to rewrite 3/8
Answer:
3/8 can be 3:8 or 3n:8n or 3n/8n where n is not zero
Step-by-step explanation:
[tex]x^{2} +2x-24[/tex]
Drag each label to correct location on the image. Identify which equations have one solution, no solution, or infinitely many solutions?
Answer:
2z+2+4z=16/5+2z-6/5; 5r+2=6r+3-r
One Solution: 3/2x+2.3-1/2x=4.3+x; 2x+2/3=2x+4/5-4x; 32p-2.5+2.1p=5p-7/2
Infinite Solution: 17/4+4.2y-9/4=2.2y+6+2y-4
Step-by-step explanation:
2 1/2 + 1 7/8 | write your answer in simplest form. Show your work!
Answer:
4 3/8
Step-by-step explanation:
must get a common denominator so u must multiply 2 times 4 to get 8 and mutiply the top by 4 also. now u will have 2 4/8 plus 1 7/8. add the fractions and u will have 11/8, simplify to get 1 3/8. add the whole numbers 2 plus 1 plus 1 equals 4 3/8
Is this correct people?
Answer:
Yes
Step-by-step explanation:
Answer:
Yes that answer is correct :)
work out the value of 5(x-y)
Answer:
5x - 5y
Step-by-step explanation:
Answer:
5x-5y or x=y.
Step-by-step explanation:
If 5(x-y) then we can distribute that, right?
then that turns into 5x-5y, lets say that equals zero, since there is no other information. Then 5x-5y=0 and wecould add 5y to both sides, getting 5x=5y
dividing 5x=5y/5 we get x=y.
Using distributive property, factor out the GCF and rewrite 54 + 90
Answer:
144
Step-by-step explanation:
54+90=144
144-90=54
90+54=144
144-54=90
Pythagorean theorem digital escape can you find the length and area and type the correct code?
The length of TU in the right triangle is 156.15 m.
The area of the rectangle is 12335.85 m²
The length of GH in the right triangle is 182.33 m
The area of the triangle is 8934.17 m²
Right angle triangleRight angle triangle are triangle that has one of its angle as 90 degrees. The sides of the triangle can be found using Pythagoras theorem. Therefore, using Pythagoras theorem,
TU² = 175² - 79²
TU² = 30625 - 6241
TU² = 24384
TU = √24384
TU = 156.153770368
TU = 156.15 m
area of rectangle = lw
area of rectangle = 156.15 × 79
area of rectangle = 12335.85 m²
GH² = 207² - 98²
GH² = 42849 - 9604
GH² = 33245
GH = √33245
GH = 182.33211456
GH = 182.33 m
Area of the triangle = 1 / 2 bh
Area of the triangle = 1 / 2 × 98 × 182.33
Area of the triangle = 17868.34 / 2
Area of the triangle = 8934.17 m²
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PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer: 2,208$
Step-by-step explanation:
To solve this problem, simply determine how much each attendee costs by doing 960$/30attendees = 32$/attendee. Then, simply multiply this number by 69 to get: 2,208$
Hope it helps :) and let me know if you want me to elaborate further.
What do you call 7 in this division problem?
28 = 7 = 4
O A. Dividend
B. Divisor
C. Quotient
D. Product
SUBMIT
The mean numbers of hours of part time work per week for a sample of 521 college students is 27 if the margin error for the population mean with a 95% confidence interval is 1.2 construct a 95% confidence interval for the mean number of hours of part time work per week for all college students
Answer:
fh
Step-by-step explanation:
List all subsets of the set {A, B, C} using proper notation
Answer:
subset of {A, B, C} = { }, {A}, {B}, {C}, {A,B}, {B,C},{C,A}
Hope that my answer is helpful to you