area of square increasing at 112 centimeters squared per second, rate of change when side is 7 centimeters

Answers

Answer 1

The area  rate of change of side of square is 8 cm/s;

dA/dt = 112 cm²/s;

Area = (r)²; where r is the side of square;

dA/dt = (dA/dr)(dr/dt);

dA/dr = 2r and dA/dt = 112 cm²/s;

Therefore; dr/dt = 112/2r at r = 7;

dr/dt = 112/14 = 8 cm/s;

Rate of change of side of square is 8 cm/s;

area is the quantity that expresses the extent of a area on the plane or on a curved floor. The location of a aircraft region or plane place refers to the location of a shape or planar lamina, at the same time as surface place refers to the vicinity of an open floor or the boundary of a 3-dimensional object.

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Related Questions

on a straight highway, the distance from loretta’s house to a park is 43 miles. her friend jamal lives along this same highway between loretta’s house and the park. the distance from loretta’s house to jamal’s house is 31 miles. how many miles is it from jamal’s house to the park? miles

Answers

The distance of Jamal's house to the park is 12 miles.

How to find the number in miles from Jamal's house to the park?

The distance from Loretta's house to a park is 43 miles.

Her friend Jamal lives along this same highway between Loretta's house and the park.

The distance from Loretta's house to Jamal's house is 31 miles.

The situations forms a straight line segment.

Therefore,

Loretta's house distance to the park = 43 miles

Lorretta's house distance to Jamal's house = 31 miles

Therefore,

distance of Jamal's' house to the park =  43 - 31

distance of Jamal's' house to the park = 12 miles

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make x the subject
ax+2c=bx+3d

i dont understand these can anyone help?

Answers

Step-by-step explanation:

here ax+2c=BX+3d

ax-bx=3d-2c

X(a-b)=3d-2c

X=3d-2c/a_b

How many inches are in 1 2/5 groups of 1 2/3

2 and 4/15

2 and 4/8

2 and 1/3

2 and 2/3

Answers

Answer:

2 and 1/3

Step-by-step explanation:

1 2/5 = 7/5

1 2/3 = 5/3

(7/5) * (5/3) = 7/3

7/3 = 2 1/3

Help me asap with this math problem!!

Answers

Answer:

Move it to the [tex]\frac{-1}{2}[/tex] point

Step-by-step explanation:

Two minus makes one plus.

D = -[tex]\frac{1}{2}[/tex]

-(-D) = +(-[tex]\frac{1}{2}[/tex])

       = -[tex]\frac{1}{2}[/tex]

       = [tex]\frac{-1}{2}[/tex]

Find the slope of the line that contains (10,-1) and (-8,6)

Answers

Answer:

the slope of the line that passes throught (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)

given

(-4,3) and (-8,6)

slop=(6-3)/(-8-(-4))=(3)/(-8+4)=3/-4=-3/4

slope is -3/4

Step-by-step explanation:

Answer:

(y2-y1)/(x2-x1)

(6+1)/ (-8-10)

7/ -18 is the slope

Step-by-step explanation:

Find the 52nd term of the arithmetic sequence-8, -12, -16,...

Answers

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

What is a sequence?

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

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which expression us equivalent to 2(3x+4)(x-1)(x-3)

Answers

Answer:

6x^3 - 16x^2 - 14x + 24

Step-by-step explanation:


If B = -9 and C = 2x+5+5x², find an expression that equals 2B + 2C in
standard form.
?

Answers

The expression that equals 2B + 2C in standard form of equation  is.

  [tex]4x^2 + 8x +16[/tex]

What is standard form of a equation?

Calculations

2 (3x - 1) + 2 (2x^2 + x + 9)

6x - 2 + 4x^2 +2x + 18

[tex]4x^2 + 8x +16[/tex]

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.

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Which ordered pair is a solution of the equation -1/4x+6=y

Answers

Answer:

(2,1) because if you plug in 2 for for X you get 4 if you plug in 1 for y you get 6, 4 + 6 is equal to 10

Step-by-step explanation:

Answer: it's definitely not A(4,7) because you would get -1/4x+6=y

Step-by-step explanation:

if you try every single way of creating an equation nothing will come up

9,562.413 in word form

Answers

Answer:

Step-by-step explanation:

nine thousand five hundred sixty two thousand four hundred thirteen.

PLEASW HELPPP ASAPPP. will give brainliest and 5 star rating. THANK U IN ADVANCE

Answers

the right to a certain plan

the area A, of a rectangle is 120x (exponent of 2)+78x-90 , and a length, l, of the rectangle is 12x=15. which of the following given width, W, of the rectangle?
A. 9x+4
B. 10x - 19
C. 10x-6
D. 8x -6

Answers

I think answer should be c. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks bye

Help asap due soon...

Answers

Answer:i think D but i would see what others say first

Step-by-step explanation:

Answer:

B) 1p - 0.4p

Step-by-step explanation:

40% to a decimal is 0.4, so that immediately marks "A" and "C" wrong.

Now what you're trying to find is the expression itself, so you want to first look for keywords, 'cause sometimes they can just give away the answer.

"A" says you're multiplying (a variable beside a number means to multiply)

"B" says you're subtracting 1p (1 x p) and 0.4p (0.4 x p)

"D" says you're adding 1p (1 x p) and 0.4p (0.4 x p)

So, now you look over the question.

Really you can mark "A" wrong. Now it's just between "B" and "D."

When you use percentages and an item, you're taking it OFF the price. So, the answer is B.

Help! I’m stuck choose the right one..

Answers

SSS i’m pretty sure :)
I believe it's ASA or SSS ...

There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.

Answers

Okkkkk whats the question

20 POINTS
PLEASE HELP!

Find the slope of the line that passes through the pair of points.
(4, –4), (6, –4)

Answers

Answer:

0

Step-by-step explanation:

You need to use formula for slope m= y2-y1/x2-x1
m= -4-(-4)/6-4= 0/2=0
So slope is 0

HELP ASAP PLEASE OMG PLEASE HELP ME

Answers

Answer:

AB = 4

[tex]m\angle E=30^\circ[/tex]

Step-by-step explanation:

Similar shapes

Two figures are similar if the ratios of the lengths of their corresponding sides are equal. The corresponding angles are also congruent.

Being ABCD and EFGH similar, the ratio of the lengths of AB and EF is equal to the ratio of the lengths of AD and EH, thus:

[tex]\displaystyle \frac{AB}{EF}=\frac{AD}{EH}[/tex]

Solving for AB:

[tex]\displaystyle AB=\frac{AD}{EH}\cdot EF[/tex]

Since AD=6, EH=1.5, and EF=1:

[tex]\displaystyle AB=\frac{6}{1.5}\cdot 1[/tex]

AB = 4

Since angle A is congruent to angle E:

[tex]m\angle E=m\angle A[/tex]

[tex]\mathbf{m\angle E=30^\circ}[/tex]

which of the followings are solutions that can be modeled with quadratic function? select all that apply

Answers

5) The height of a rocket after it is launched

For this case, what you should do is remember the kinematics expressions where we have:

a

v = a * t + vo

y = a * t ^ 2 + vo * t + i

Where,

a: acceleration

v: speed

y: vertical position

t: time

vo: initial speed

yo: initial position

We observe that the expression for the given position is given by a quadratic expression.

The price of a movie ticket at the theater is $7 for students. The price is higher for adults. A group of 4 students and 3 adults paid $64 in all for movie tickets. How much does each adult ticket cost?

Answers

Given:

Student ticket price = $7

A group of 4 students and 3 adults paid $64  in all for movie tickets.

To find:

Each of the adult ticket cost.

Solution:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Cost of 1 student ticket = $7

Cost of 4 student ticket = $7(4)

According to the question,

[tex]7(4)+3x=64[/tex]

[tex]28+3x=64[/tex]

[tex]3x=64-28[/tex]

[tex]3x=36[/tex]

Divide both sides by 3.

[tex]x=12[/tex]

Therefore, the cost of each adult ticket is $12.

PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.

Answers

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)

order the decimal from least to greatest 6.38,6.4,6.325,6.42 need help asap 45 points

Answers

Answer:

6.325,6.38,6.4,6.42

Need HELP WITH THESE LAST 3 RUNNING OUT OF TIME

Answers

Answer:

A. 3 bags of popcorn

F. $12.25

G. 6 bags of popcorn

Heya, I hope this helped you! If you divide 3.5 by 2, it is $1.75 for each bag of popcorn. I hope this helped! <3

Answer: A. Murderer bought three bags

F. $21.00

G. 6 bags

Step-by-step explanation:

divide 3.50 by 2 gives you 1.75 and 1.75+3.50= 5.25 which is the total spent.

1.75 x 6 is equal to 10.50 and 12.82-2.32= 10.50

In the diagram below, segment DG is Perpendicular to segment DF

Answers

What is he saying he was a

Please help with these two questions. ​

Answers

Answer/Step-by-step explanation:

✔️<1 can be named in two ways using letters, with the middle letter being the letter of the vertex of the angle. Thus is can be named as:

[tex] \angle ADB [/tex] or as [tex] \angle BDA [/tex]

✔️It is unclear to name <1 as <D because <2 can equally be named as <2 since both angles share a common point or vertex D.

what is the mean absolute deviation of 6 2 8 4 8 6 8 8

Answers

The mean of the data is 6.25. Then the mean absolute deviation of the data will be 1.75.

What is the mean absolute deviation?

It is the average distance between each data point and the mean. Then the mean absolute deviation is given as,

[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]

The data is given below.

6, 2, 8, 4, 8, 6, 8, 8

The mean of the data will be given as,

μ = (6 + 2 + 8 + 4 + 8 + 6 + 8 + 8) / 7

μ = 50/8

μ = 6.25

Then the mean absolute deviation of the data will be given as,

MAD = (|6 - 6.25| + |2 - 6.25| + |8 - 6.25| + .... + |8 - 6.25|) / 8

MAD = (0.25 + 4.25 + 1.75 + 2.25 + 1.75 + 0.25 + 1.75 + 1.75) / 8

MAD = 14 / 8

MAD = 1.75

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6 + -1/4 plllllllllllllssssssss helppppppppppp i am tooo dummmmmmmmm

Answers

Answer:

5 3/4

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

5 3/4

Step-by-step explanation:'

adding a negative number is just subtracting

Find the amount of simple interest earned. Principal: $300. Annual interest rate: 6.5% Time: 3 years

Answers

Answer:

The simple interest is $58.5

Step-by-step explanation:

Mathematically;

Simple interest = PRT/100

where p is principal = $300

R is rate = 6.5%

T is time = 3 years

Substituting these values in the simple interest equation, we have that;

S.I = (300 * 6.5 * 3)/100 = $58.5

tell me something <333 ^^

Answers

Answer:

Hi I hope you have a wonderful day!!

Step-by-step explanation:

I hope this makes your day :))!

Solve for x please ill give brainlist

Answers

Answer:

8

Step-by-step explanation:

Analyze the diagram below and complete the instructions that follow.

Photo by Stahlkocher

If the angle between each blade of the wind turbine is the same and each blade has a length of 30 meters, find the distance between the tips of two blades. Round the answer to the nearest hundredth, if necessary.

A.
30 meters
B.
42.43 meters
C.
51.96 meters
D.
120 meters

Answers

Answer:
D

Explanation: All triangles must equal to 180, so we can say that st=ut and that will give us 60 all we have to do now is add 120.
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