Answers
Related Questions
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing
Answers
Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Answer two questions about Systems
A
AA and
B
BB:
System
A
AA
start text, end text System
B
BB
{
x
−
4
y
=
1
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x−4y=1
5x+6y=−5
{
x
=
1
+
4
y
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x=1+4y
5x+6y=−5
1) How can we get System
B
BB from System
A
AA?
Answers
The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
To obtain System B from System A, we can perform the following steps:
Start with System A:
System A:
x - 4y = 1
5x + 6y = -5
Solve the first equation in System A for x:
x = 1 + 4y
Substitute the value of x in the second equation of System A:
5(1 + 4y) + 6y = -5
Simplify and solve for y:
5 + 20y + 6y = -5
26y = -10
y = -10/26
y = -5/13
Substitute the value of y back into the equation we found in step 2:
x = 1 + 4(-5/13)
x = 1 - 20/13
x = (13 - 20)/13
x = -7/13
Write down the equations with the values of x and y:
System B:
x = -7/13
5x + 6y = -5
Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
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1 Which of the following is an equation of the line containing points (0, -5) and (5, -3)?
Answers
Answer:
y=8/5x-11
Step-by-step explanation:
first you find the gradient of the line:- y(of the first point)minus y(of the second point) divided by x(of the first point)minus x(of the second point)
-5-3=-8
0-5=-5 gradient=8/5
finding equation8=y-3
5=x-5 then cross multiply you will get :-
5(y-3)=8(x-5)
5y-15=8x-40
5y=8x-40+15
5y=8x-25
5y=8x-25
5 5 5
y=8x-5
5
A recipe calls for 2 cups flour and 1 1/2 cup milk to make seven servings. Ming has plenty of flour, but only 5 cups of milk. How many servings can he make? Ming can make (answer) servings with 5 cups of milk.
Answers
Answer:
21 or 23 servings.
Step-by-step explanation:
Among all pairs of numbers whose difference is 6, find a pair whose product is as small as possible. What is the minimum produc The pair of numbers whose difference is 6 and whose product is as small as possible is ?
Answers
Answer:
pairs of numbers is 3,-3
Step-by-step explanation:
The computation is shown below:
Let us assume a and b are the pairs of the numbers whose difference is 6
i.e.
a - b = 6
a = 6 + b
So
f = ab
f = (6 + b)b is minimum
Now
d ÷ db (6+ b)b = 0
(6+ b) + b = 0
2b = -6
b = -3
Now
a = 6 + b
= 3
So pairs of numbers is 3,-3
Use the volume formula to find the volume of the prism.
12
O A. 4 cubic units
O B. 18 cubic units
C. 7 cubic units
O D. 9 cubic units
Answers
answer
7
explain
multiple all of the
A bag of 4 balls weighs 6 pounds. Each ball weighs the same amount. What is the weight of each ball?
Answers
Answer: 1.5 pounds
Jerome just graduated college and has two job offers. Both jobs offer a starting
salary of $45,000 per year, but they differ in their projected future salaries.
Employer A offers a yearly salary increase of $1250 per year. Employer B offers
an increase of 3% per year.
?
Answers
Answer:
I would say Employer A
Step-by-step explanation:
Employer A because that would give you more money.
Choose the function whose graph is given below.
A. y = sec X
O B. y = tan x
O C. y = CSC X
O D. y = cotx
Answers
Answer: B. y = tan x
Step-by-step explanation:
The function whose graph is show below will be tan x. Then the correct option is B.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The secant of angle x is not defined, for some value of x. Then the domain of the sec x will be
Domain = R – (2n + 1) π/2
But the graph of the sec x looks like U. Then it is incorrect.
The tangent of angle x is not defined, for some value of x. Then the domain of the tan x will be
Domain = R – (2n + 1)π/2
Then it is correct.
The co-secant of angle x is not defined, for some value of x. Then the domain of the csc x will be
Domain = R – nπ
Then it is incorrect.
The co-tangent of angle x is not defined, for some value of x. Then the domain of the cot x will be
Domain = R – nπ
Then it is incorrect.
Then the correct option is B.
More about the trigonometry link is given below.
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which is the following is true about the graph of linear inequalities?
a.)it is a line
b.)it is a parabola
c.)it os a curve
d.)it is a half-plane
Answers
Answer:
d.) half-plane..
Reason:
A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
There is 12 inches in a whole hole how many inches is in a half of a hole?
Answers
Answer:
6 is hoing to be your answer
Answer:
6in
Step-by-step explanation:
Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. (1 mile 5 5,280 feet) (make it simple)
Answers
Answer:
3 miles
Step-by-step explanation:
1 hour = 3,600 seconds (3,600 ÷ 10 = 360)
360 x 44 = 15,840 Feet
1 mile = 5,280 feet
15,840 feet ÷ 5,280 feet = 3 miles
Kenji walks 3 miles in 1 hour.
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Forty people used a popular weight loss program. The mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than o lb. Use Table A-3 to find the range of values for the P-value.
Answers
Answer:
P-value < 0.005
Step-by-step explanation:
just took it
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 14 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
_____
The area of the bookmark is_____cm2.
Answers
Answer:
The area of the bookmark is 68.56 cm².
Step-by-step explanation:
Separate the bookmark into simpler shapes as described in the problem: a rectangle and a circle (two semicircles of the same size).
Find the area of the simpler figures.
Rectangle
A = LW
A = 14 · 4
A = 56
The area of the rectangle is 56 cm2.
Circle
A = πr2
A = 3.14(2)2
A = 3.14(4)
A = 12.56
The area of the circle is 12.56 cm2.
Find the area of the bookmark.
A = 56 + 12.56
A = 68.56
The area of the bookmark is 68.56 cm².
The mayoral election results for the town of Jainsville are shown in the table below.
Voters were able to vote for one of three candidates, each represented by one of the three parties shown in the table. Each voter was given a six-digit identification number. What is the probability that if an identification number is randomly chosen, a 50-year-old or younger voter from the winning party will be chosen from the pool of voters? Round your answer to the nearest hundredth of a percent.
Answers
Answer:
ponlo en español para ayudarte
Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy? Enter your answer in the box.
A cube with side length 12 centimeters and a square pyramid on top. The height of one triangular face of the pyramid is 15 centimeters.
Answers
Answer:
1224
Step-by-step explanation:
12 x 12 = 144 then do 144 x 6 = 864
15 x 12 x 1/2 = 90 then 90 x 4 = 360
Add 864 + 360 = 1224
BUT
I am not sure if this is correct. I looked up this equation and I see that it says the answer is 1080 so let me know which one you got right
Hi hi dude I just don’t want to play anymore I just don’t want to play
Answers
9514 1404 393
Answer:
equation: 8 = v + 5solution: v = 3Step-by-step explanation:
The green line is shown as having a length of 8.
The black line is shown as having two parts that add up to the total length of the black line: v + 5.
The problem statement tells you these are the same length. An equation that says they are equal is ...
8 = v + 5
__
This is solved by subtracting 5 from both sides of the equation.
8 -5 = v +5 -5
Combining like terms gives ...
3 = v
The solution is v = 3.
Two bags of flour have a total weight of 8 3/4 pounds. What could be their individual weight
Answers
Answer:
4 3/8 lbs.
..................
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The individual weights of the bags of flour must add up to a total weight of 8 3/4 pounds.
We can express 8 3/4 as an improper fraction by multiplying the whole number 8 by the denominator 4 and adding the numerator 3, giving us 35/4.
Therefore, we can set up an equation:
x + y = 8 3/4
where x is the weight of one bag of flour, and y is the weight of the other bag of flour.
We can simplify 8 3/4 to 35/4, so the equation becomes:
x + y = 35/4
We can solve for one variable in terms of the other:
x = 35/4 - y
Now we can substitute this expression for x into the original equation and solve for y:
x + y = 35/4
(35/4 - y) + y = 35/4
35/4 = 35/4
This equation is true for any value of y.
Therefore, there are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
For example, one bag could weigh 4 pounds and the other could weigh 4 3/4 pounds, or one bag could weigh 3 pounds and the other could weigh 5 3/4 pounds, and so on.
Thus,
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
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Convert: 2 pounds ounces Submit convert it
Answers
Answer:
Every 2 pounds its 32 ounces
Step-by-step explanation:
Answer:
32 oz (ounces)
Step-by-step explanation:
1 lb = 16 oz
16
x 2
-----
32 oz = 2 lbs
PEASE HELP DUE IN 5 MINUTES I WILL MARK YOU BRAINLIST
Find the area of a regular hexagon with side length of 3 ft. Round your answer to the nearest tenth
7.8 ft2
11.7 ft2
23.4 ft2
40.5 ft2
Answers
23.4 ft2
Step-by-step explanation:
jvuctctctcrxrxrxrxrxr
Please if you don’t know it answer (NO LINKS) help me no lying!! This is the clearest I can get!
Answers
Answer:
I can solve 1
Step-by-step explanation:
First you would do 2.9*1.5 then do 1.5*2.9 divided by 2 for the triangle then add them together
ASAP I WILL GIVE 100 POINTS AND BRAINIEST ASAP
Find the length of the model train.
Answers
Answer:
It would be 7.5 inches.
Hope this helped!!
An online store sells specialty bags. They charge $8 for shipping and $21 per bag ordered.
Write an expression that can be used to find the cost in dollars for b bags including shipping.
Answers
Answer:
b=21x+8
Step-by-step explanation:
she sell bags 21 dollars for every bag(x) and they only add 8 dollars 1 time
HELPP DUEE BY 1pm PACIFIC HELP ASAPP
Answers
I can try and help, 36 = 3 (4.5 + x), whichif you distribue, you get 36 = 13.5 + 3x, and if you solve from there, you get 22.5 = 3x, then your answer, 7.5 = x
Solve for x in the triangle. Round your answer to the nearest tenth
Answers
HELP FAST PLEASE
A right triangular prism is constructed so that its height
is equal to the leg length of the base.
What expression represents the volume of the prism, in
cubic units?
1x + x
2x²
o 2x²+x
Answers
Answer:
1/2x*3
Step-by-step explanation:
I looked it up....
Sue and Bill share a 16 ounce bucket of clay. By the end of the week, Sue has used 5/8 of the bucket, and Bill has used 1/4 of the bucket of clay. How many ounces are left in the bucket?
Answers
Answer:
2
Step-by-step explanation:
16×5/8=10
16×1/4=4
16 - 10 - 4 =2
I need these three, I’ll give brainliest
Answers
A. E+17-1=2x. b. R0 + x=12 C. 13= x-1+15+10-1 divided by 10=24
hope this helps!!
and I hope you understand it lol!
HELP WITH MATH!! RLLY COULD USE IT
Answers
Answer:
120 square units
Step-by-step explanation:To find the area you do length times hight or l x h. If you want you can also make the triangle and move it to the other side to create a square if thats helps :) but you always do LxH for area :)
Answer:
120
Step-by-step explanation:
Since it's a parallelogram, it has to be A = BH.
Base in this problem: 10
Height in this problem: 12
10x12=120
What is the difference in the mean absolute deviation for the average temperatures ?
Answers
Answer:Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
Step-by-step explanation: