Answers
The way the question is phrased, it sounds like the height stays fixed at 18 in. If L and W denote the raft's length and width, respectively, then its volume V is given by
V = 18 L W
Differentiating both sides with respect to time t gives
dV/dt = (18 in) W dL/dt + (18 in) L dW/dt
We're told that dL/dt = -1 in/s and dW/dt = -2 in/s, so that at the moment L = 11 in and W = 4 in, the volume is changing at a rate of
dV/dt = (18 in) (4 in) (-1 in/s) + (18 in) (11 in) (-2 in/s)
dV/dt = -468 in³/s
so the raft is losing air at a rate of 468 in³/s. (Note that "losing" captures the negative sign from before.)
Related Questions
Determine whether the mapping diagram shown below represents a
function
27 points
Answers
Answer:
Not a Function
Step-by-step explanation:
Each y-value has 2 x-values. It is supposed to only have one. hope this helped you!! Give brainliest
Item 2
Find the area of the trapezoid.
b1=4,b2=8,h=2
ASAP TIMED WILL GIVE 35 POINTS>
Answers
Answer:
12 units squared.
Step-by-step explanation:
The formula for the area of a trapezoid is 1/2(base1+base2)*height. First, add the two bases together. 4+8=12. Then multiply that number by both 1/2 and the height, 2. 1/2*2*12 equals 12 units squared.
Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. The width of the original room is 4m and the length of the original room is 4m. If the new room adds X to the length, what is the new expression for the new area? How many square meters has Megan's room increased? Explain how you solved the new area.
Answers
Answer:
new area = 7m (length) x 4m (width) = 28; an increase of 12 sq meters
Step-by-step explanation:
Original area must have been 16 because both the length and width were 6 meters.
175% of 16 is 12, meaning the length must be increased from 4 to 7 to get 28 when multiplied by a width of 4m
A bus driver drives 147 miles on her route each day. She drove the bus 23 days last month. How many miles did the bus driver drive the bus last month?
A: 3,381
B: 3,161
C: 2,381
D: 2,161
Answers
Answer:
Step-by-step explanation:
147 x 23 = 3381
=>
Answer:
B: 3381
Step-by-step explanation:
147 X 23 = 3,381. if she drove 147 miles for 23 days that's 3381 miles in one month
Lae bought grapes for $1.50 per pound. A 2-column table has 4 rows. Column 1 is labeled Pounds x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.50, 3.00, 4.50, 6.00. Create a graph of the relationship between the two quantities. Complete the statements. Use the numbers in the table to create . are graphed on the x-axis. are graphed on the y-axis. Plot the on the graph. Draw a that starts at the origin and connects all the points.
Answers
The graph of dollar and pound table of Lae is graphed below in which pounds are graphed on the x-axis and dollars are graphed on the y-axis.
How to plot a graph from table?To plot a graph from a table, make the ordered pair of values of coulom 1 and 2 of the table. Plot a line or curve with these ordered pair on the graph.
Lae bought grapes for $1.50 per pound. A 2-column table has 4 rows.
Column 1 is labeled Pounds x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.50, 3.00, 4.50, 6.00.The created graph of the relationship between the two quantities is attached below. Now lets complete the statements.
Use the numbers in the table to create ordered pair. Pounds are graphed on the x-axis. Dollars are graphed on the y-axis. Plot the ordered pair on the graph. Draw a straight line that starts at the origin and connects all the points.Hence, the graph of dollar and pound table of Lae is graphed below in which pounds are graphed on the x-axis and dollars are graphed on the y-axis.
Learn more about plot a graph here;
https://brainly.com/question/26403321
Answer:
1. ordered pairs
2. pounds
3. dollars
4. ordered pairs
5. straight line
I apologize if im late!
McDonalds sold 7 boxes of chicken nuggets for $25.90 Burger King sold 3 boxes of chicken fingers for $11.07. Which food item has a higher unit price? (1 Point McDonalds O Burger King.
Answers
Answer:
burger king
Step-by-step explanation:
math
Which two expressions are equivalent?
A 4(x + 5) and 4x + 9 C 4(x + 5) and 4x + 20
B 4(x + 5) and 4x + 5 D 4(x + 5) and 4 + x + 4 + 5
Answers
hello, can you please help? please show work. thank you!
-2x*(10x – 9x² - 7x + 4)
Answers
Answer:
[tex]18x^{3}[/tex] - [tex]6x^{2}[/tex] - 8x
Step-by-step explanation:
-2x(10x - [tex]9x^{2}[/tex] - 7x + 4)
-2x(3x - [tex]9x^{2}[/tex] + 4) Combine liked terms
-2x(-[tex]9x^{2}[/tex] +3x +4) Rearrange terms
[tex]18x^{3}[/tex] - [tex]6x^{2}[/tex] - 8x Distribute
[tex]18x^{3}[/tex] - [tex]6x^{2}[/tex] - 8x
easy question if your having big problem
Answers
Answer:
whats the problem
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
9 out of 36 students wear glasses what percent of students wear glasses
Answers
Answer:
25%
Step-by-step explanation:
9 out of 36 is equal to 9/36, which equals 1/4.
1/4 is a quarter of a whole. a quarter is 25%
25%
9/36 = 1/4 = 0.25 = 25%
help please !!!! my brain hurts
Answers
Answer:
the answer id d.
Step-by-step explanation:
A sports equipment store rents road bikes for $23 an hour.
Over the summer, these bikes were rented for a total of
1,080 hours. How much money did the store make renting bikes?
Answers
Answer:
$24,840
Step-by-step explanation:
Please mark brainliest.
Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?
Answers
Answer:
Jason
Step-by-step explanation:
Answer:
It's Seth
Step-by-step explanation:
КУ Meccahi Grant Question #21 The perimeter of a rectangle is given by the algebraic Part A. expression 2x2 + 4x + 4. The width of this rectangle Create an algebraic expression in terms of x to 2 is given by the algebraic expression x? – 4. represent the length of the rectangle. The perimeter of a rectangle is given by the algebraic expression 2x2 + 4x +4. The width of this rectangle is given by the algebraic expression x2 - 4. Part A Create an algebraic expression in terms of x to represent the length of the rectangle. Part B If x = 3, what is the area of this rectangle in squa units? Remember to include units.
Answers
Answer: The question requires an understanding of how to compose and decompose multi digit numbers. The expanded form 70,000 + 4,000 + 70 + 2 corresponds to the number 74,072, which is the population of Davidson County.
(sorry if i'm wrong)
:(
- Save & Exit Certify
2/15
Correct
Question 4 of 15, Step 1 of 1
A rock is thrown upward with a velocity of 25 meters per second from the top of a 34 meter high cliff, and it misses the cliff on the way back down. When will the rock
be 8 meters from ground level? Round your answer to two decimal places.
Gravity Formula
Answers
Answer:
Do you have a picture because i work better with pictures
Step-by-step explanation:
Lauren broght cupcakes for class of 24 students including herself. Each person received 1 cupcakes. Cupcakes come in pack of 7
Answers
Answer:
4 Packs
Step-by-step explanation: 24 put into groups of 7: there will be 3 full groups (three groups of seven) and one group will have only three in it. Therefore, 4 packs will be emptied. Hope this helps you !
-25+t/z greater these or =to 50
Answers
Answer:
=to 50
Step-by-step explanation:
V
P
A
4 Here is an explanation that the angle sum of triangle ABC is 180°.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
С
B
5 Show that the interior angles of this shape add up to 360°.
Answers
Answer:
Step-by-step explanation:
360
hey , can you help me with this thanks !!
Answers
Answer:
16
Step-by-step explanation:
the sides may not seem to help but it dose go to the other side and try to meser it it would be 4. add 8+4+4 or 8+8=16
Answer:
18.6cm (rounded to 3 s.f.)
Step-by-step explanation:
You can actually figure out the two bases of the triangles based on the Pythagoras theorem where the slant length of a 90° triangle is [tex]\sqrt{a^{2} + b^{2} }[/tex] where a is one of the bases and b is the other length that is 90° perpendicular to a.
So this means:
[tex]\sqrt{6^{2} + base^{2} }[/tex] = 8cm
6² + base² = 64cm
36 + base² = 64
base² = 64-36
= 28
base = [tex]\sqrt{28}[/tex]
≈ 5.2915 (5 s.f.)
So the two bases are roughly 5.2915, and the middle base is part of a rectangle, so it has the same length as the rectangle's length, which is 8cm.
Thus, x = 5.2915 + 5.2915 + 8
= 18.6cm (rounded to 3 s.f.)
PLS HELP IM IN THE MIDDLE OF A TEST PLSSSSSSSSSSSSSSSSSS AND GIVE ME THE RIGHT ANSWER PLSSSSSSS.
Answers
Hops that helps
Is this correct??? Someone please help
Answers
Answer:
the line is inconsistent:)
Step-by-step explanation:
The side length of an equilateral triangle is 4X +2 which expression represents the perimeter of the triangle
Answers
Answer:
12x + 6
Step-by-step explanation:
perimeter equals the sum of all sides
if each side is 4x+2 then 3(4x+2) = 12x+6
help? I know what i’m doing somewhat but i really just didn’t wanna pay attention in class the day this was taught
Answers
To solve the equation for x, first divide both sides of the equation by 4 to get [tex]e^{2.7x}=\frac{33}{4}[/tex]. Then, take the natural logarithm of both sides (base e) to get [tex]\ln e^{2.7x} = \ln (33/4)[/tex]. The left hand side of this equation if equal to 2.7x, so we get [tex]2.7x = \ln(33/4)[/tex]. The final step is to divide both sides of the equation by 2.7, to get that [tex]x =\frac{ \ln (33/4)}{2.7}[/tex]. This is approximately equal to 0.782.
Answer:
ily
Step-by-step explanation:
generate a continuous and differentiable function f(x) with the following properties: f(x) is decreasing at x=−6 f(x) has a local minimum at x=−3 f(x) has a local maximum at x=3
Answers
Answer:
HURRYYYY PLEASE HELP ME T-T
Step-by-step explanation:
https://brainly.com/question/19692618
Solve for x enter the solution from least to greatest x2 - 11x + 18 =0
Answers
Answer:
x = 2 , 9
Step-by-step explanation:
[tex] {x}^{2} - 11x + 18 = 0[/tex]
[tex] = > {x}^{2} - 9x - 2x + 18 = 0[/tex]
[tex] = > x(x - 9) - 2(x - 9) = 0[/tex]
[tex] = > (x - 9)(x - 2) = 0[/tex]
Here x will have 2 solutions.
1) [tex]x - 9 = 0[/tex]
[tex] = > x = 9[/tex]
2)[tex]x - 2 = 0[/tex]
[tex] = > x = 2[/tex]
Hence the 2 solutions of x are +2 & +9
8-5(3x-7) i need help
Answers
Answer:
43 - 15x
is the answer
Answer:
-15x + 43
Step-by-step explanation:
8-5(3x-7)
8-15x+35
-15x+43
Pip can type 90 words a minute.
How many words can be typed in 10.5 minutes?
Answers
Answer:
the answer is 945
Step-by-step explanation:
simple math 90 x 10 = 900
.5 = 45
900 + 50 = 945
Answer:
945 minutes
Step-by-step explanation:
just multiply 90 by 10.5 buddy
Is the graph below proportional? Explain.
500
400
300
Total cost ($)
200
100
0 2 4 6 8 10
Time (h)
Answers
Answer:
50/1
Step-by-step explanation:
x=1,2,3
y=50,100,150
y/x=50/1
Appliances at Discount City Store are on sale for 55% off of the original price. If the original price of a washing machine is $500, what does it cost after being reduced by 55% (before tax)?
Answers
Answer:
it will cost $255.
Step-by-step explanation:
225.
a product that normally costs $500 with a 55 percent discount will cost you $225.00, and you saved $275.00. You can also calculate how much you save by simply moving the period in 55.00 percent two spaces to the left, and then multiply the result by $500 as follows: $500 x . 55 = $275.00 savings.
PLEASE HELP!!!
John and Chuck are building a new house. When finished, the house will cost $190,750. The price of the house is 9% higher than the price when the original plans were made. What was the price of the house when the original plans were made?
Answers
Answer:
190,750 decreased by 9% is 173,582.5
Step-by-step explanation: