Each side of a square is increasing at a rate of 5 cm/s. at what rate is the area of the square increasing when the area of the square is 49 cm2? 70 cm2/s

Answers

Answer 1

This problem is solved using the chain rule. the area of the square is f(t) and the length of the side is g(t) f(t)=g(t)^2 g'(t)=5 Using the chain rule f'(t)=2*g(t)*g'(t) The value of g(t) is sqrt(49) which is 7. g'(t) is given as 5 cm/s f'(t)=2*7*5=14*5=70cm^2/s

Related Questions

Find 20.25 + -15.711

Answers

20.25 - 15.711 = 4.539

hope this helps

4.539
Make sure if you have to show ur work line up the decimals and remember the rules to negative numbers

If it is sunny, then I will have a picnic.
Today it is sunny

1)I will have a picnic today
2)if I am having a picnic, it must be sunny
3)if it is not sunny, then I will not have a picnic
4)not possible

Answers

Answer:

Answer not possible

Step-by-step explanation:

invalid

the rest on you guys yw

honors geom

Jared is 10 years old and peter is 15 years old they are brothers . Together they run 150 yards . How far does each brother run

Answers

So, pretty much age would be a distractor, so if they both run 150 yards, they could possibly run 75 yards

Answer: About 70 yards :D.

Hope this helped

What is .16 repeating as a simplified fraction?

Answers

I'm assuming this is 0.1666666...

Which in that case is 1/6.

(Just from memory)

To do 0.161616161616...

First, assign 0.161616... a variable, say it's x.

Now say 100x, what is it.

16.1616161616...

Now subtract x from 100x.

16.161616161616... - 0.16161616...

Or, 99x

99x = 16 in this case right now

Divide both sides by 99

x = 16/99

So it really depends what's repeating, it's either 1/6 or 16/99.

A music download service charges a flat fee each month and $0.99 per download. The total cost for downloading 27 songs this month is $42.72. how much is the flat fee

Answers

I believe the answer is $15.45

Answer:

$15.99

Step-by-step explanation:

A music download service charges a flat fee each month and $0.99 per download.

Charge of downloaded 27 songs in this month = 0.99 × 27

= $26.73

The total cost for downloading 27 songs this month = $42.72

Therefore, the flat fee = 42.72 - 26.73 = $15.99

Flat fee for the month is $15.99.

A local little league has a total of 60 players 80 percent are right handed. How many right handed players are there

Answers

Just find 80% of 60 players: 0.80(60 players) = 48 players are rt. handed.

There are 48 right handed players

The product of two consecutive positive even integers is 80. Find the integers

Answers

Greetings!

We can create an equation for this:
[tex](x)(x+2)=80[/tex]
Distribute the Parenthesis.
[tex]x^2+2x=80[/tex]
Add -80 to both sides.
[tex](x^2+2x)+(-80)=80+(-80)[/tex]
[tex]x^2+2x-80=0[/tex]
Factor the Simple Trinomial.
[tex]x^2+10x-8x-80=0[/tex]
Factor by Grouping.
[tex]x(x+10)-8(x+10)=0[/tex]
Factor the GCF.
[tex](x+10)(x-8)=0[/tex]
The Answer Is:
[tex](x+10)=0 \\ (x-8)=0[/tex]
[tex]x=-10 \\ x=8[/tex]

Either:
-10,-8 or 8,10
Can be the solution in this answer.

Hope this helps.
-Benjamin

G calculate the iterated integral. 8 −8 π/2 (y + y2 cos(x)) dx dy 0

Answers

[tex]\displaystyle\int_{y=-8}^{y=8}\int_{x=0}^{x=\pi/2}(y+y^2\cos x)\,\mathrm dx\,\mathrm dy=\int_{y=-8}^{y=8}(xy+y^2\sin x)\bigg|_{x=0}^{x=\pi/2}\,\mathrm dy[/tex]
[tex]=\displaystyle\int_{y=-8}^{y=8}\left(\dfrac\pi2y+y^2\right)\,\mathrm dy[/tex]
[tex]=\left(\dfrac\pi4y^2+\dfrac13y^3\right)\bigg|_{y=-8}^{y=8}[/tex]
[tex]=\dfrac{1024}3[/tex]

Final answer:

To solve the given iterated integral, integrate the function of x with respect to x and then integrate the resulting function with respect to y.

Explanation:

The given iterated integral can be solved by integrating the function of x with respect to x first and then integrating the resulting function with respect to y. The limits of integration are given as (-8, 8) for x and (0, π/2) for y.

Step 1: Integrate the function of x with respect to x.

Step 2: Integrate the resulting function of x with respect to y.

Step 3: Evaluate the iterated integral using the given limits of integration.

Learn more about Iterated integrals here:

https://brainly.com/question/34714942

#SPJ11

the cost (in dollars) of making n birthday cakes is represented by C=24n+35. How many birthday cakes are made when the cost is $395? explain your reasoning

Answers

395 = 24n +35
subtract 35 from both sides
360 =24n
divide both sides by 24
15=n

You have 120 pieces of fabric to make a blanket. Each piece of fabric is a square with a side length of 6 inches. You use as many squares as possible to make a square blanket. What is the area of the blanket? How many pieces are left over? How many more pieces of fabric would you need to increase the size of the blanket?

Answers

A. Since the blanket to be made is a square, therefore there should be equal number of fabric on all sides. So find the square root of 120.

number of fabrics = sqrt (120) = 10.95

Since number of fabrics cannot be decimal, therefore the largest number of pieces of fabric per side is 10 (length and width).

Since each fabric measures 6 inches, so total length per side is 60 inches. The area is therefore:

Area of blanket = 60 in * 60 in = 3600 square inches

B. Since the two sides, length and width, has same number of fabrics which is 10, so total number used is = 10 * 10 = 100

So the left-over are 120 – 100 = 20 fabrics left over

C. To create a bigger blanket, it would require 11 fabrics per side, so total number used would be = 11 * 11 = 121

Therefore only 1 additional piece of fabric is required.

ulia spends $6.25 on gas for her lawn mower. She earns $17.00 mowing her neighbor's yard. What is Julia's profit?

Answers

Profit = Income less expenses: $17.00 - $6.25 = $10.75 (answer)

Her profit is 10.75 hope this helped
17.00-6.25=10.75

Find an equation of the line that satisfies the given conditions. x-intercept 1; y-intercept −4

Answers

My make an equation in the form y=my+b
You already have the y intercept, -4

Y=mx-4

And you have the two points (1,0) and (0,-4)
To find the slope (rise over run) to get from the two points you go over one up 4

So the slope is 4/1 or 4

The equation is:

Y=4x-4

Hope this helps!

The equation which is representing x-intercept 1; y-intercept −4 is y = 4x - 4.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the equation is y = mx + c which is the standard form of the linear equation.

Now,

At x- intercept ⇒ (1,0)

So,

0 = m(1) + c

c = -m

And y- intercept ⇒ (0,-4)

-4 = m(0) + c

c = -4

So m = 4

Therefore,

y = 4x - 4 will be the equation.

Hence "The equation which is representing x-intercept 1; y-intercept −4 is y = 4x - 4".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

A family has a monthly income of $3300 and plans to spend 11% of this amount on entertainment. How much will be spent on entertainment?

Answers

$363 just divide $3300 by 0.11

363 dollars is your answer
Hoped i helped

a patient is to take 2 4/5 tablespoons of medicine per day in 2 equally divided doses. how much medicine is to be taken in each dose?

Answers

Just divide 2 4/5 by 2:

Convert 2 4/5 into the improper fraction 14/5, and then divide this result by 2:

7/5, or 1 2/5, tablespoons of medication, twice per day (total 2 4/5 tablespoons)

With continuous compounding, a principal of P dollars accumulates to an amount A given by the equation
A = Pe^rt
where r is the interest rate and t is the time in years.
a) suppose you start with a principal of $1000 and an interest rate of 7%. how much work will you have in ten years
b)suppose you start with a principal of $1000 and an interest rate of 75. how long will it be until you have $2000? round to the nearest tenth of a year. PLEASE HELP

Answers

a)

[tex]\bf \qquad \textit{Continuously Compounding Interest Earned Amount}\\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1000\\ r=rate\to 7\%\to \frac{7}{100}\to &0.07\\ t=years\to &10 \end{cases} \\\\\\ A=1000e^{0.07\cdot 10}[/tex]

Which set of fractions is ordered from greatest to least? 11/12, 7/10, 5/6

Answers

The fractions ordered from least to greatest are 7/10, 5/6, and 11/12. This is because 5/6 = 11/12 and 7/10 equals closer to 2/3.

What is the value of the expression below?
−5+∣9−11∣

Answers

-5+|9-11|
first, you would find the absolute value
|9-11|= |-2|=2
then the problem looks like this
-5+2= -3
So, the answer is negative three

Word problem. Help (:

Answers

I just got 5 free points.

A 12 ounce can of lemonade costs $1.32. How much would a 16 ounce can of lemonade cost

Answers

$1.32 ÷ 12 ounces = $0.11 per ounce

$0.11 x 16 ounces = $1.76

A 16 ounce lemonade is $1.76.

The amount of cost of the lemonade of 16 ounces will be $1.76.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A 12-ounce can of lemonade costs $1.32.

Then the cost of 1 ounce will be

⇒ $1.32 / 12

⇒ $0.11 per ounce

Then the amount of the cost of the lemonade of 16 ounces will be

⇒ $0.11 x 16

⇒ $1.76

The amount of cost of the lemonade of 16 ounces will be $1.76.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

A ball is thrown downward from a window in a tall building. its position at time t in seconds is s = 16t^2 + 32t, where s is in feet. how long (to the nearest tenth) will it take the ball to fall 211 feet

Answers

so When S is equal to 211
S = 16t^2 + 32t
211 = 16t^2 + 32t
Then, turn into a quadratic equation
0= 16t^2 + 32t - 211

Afterwards, simply find the roots of the equation by using your calculator formula 01.
you will be getting two answers,
t = 2.7666.... (correct to 3 significant figures)
t = -4.7666...(reject this because of its negative sign)

therefore, it will take 2.78 for the ball to fall 211 feet.

Please help and explain how you got it

Answers

check the picture below.

notice, the figure is just, a triangle with a base of 3 and an altitude of 4, a rectangle of 4x7, and a semi-circle with a diameter of 4.

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \begin{cases} d=diameter\\ r=radius=\frac{d}{2}\\ -------\\ d=4\\ r=2 \end{cases}\implies \begin{array}{llll} A=\pi 2^2\implies A=4\pi\\\\ \textit{area of half that circle}\\\\ A_h=\cfrac{4\pi }{2}\implies A_h=2\pi \end{array} \\\\ -----------------------------\\\\ \stackrel{\textit{area of triangle}}{\frac{1}{2}\cdot 3\cdot 4}+\stackrel{\textit{area of the rectangle}}{4\cdot 7}+\stackrel{\textit{area of the semi-circle}}{2\pi } \\\\\\ 6~~+~~28~~+~~2\pi[/tex]

A refrigerator has a volume given by the trinomial y^3 + 5y^2 – 14y. What are the possible dimensions of the refrigerator? Use factoring

Answers

y^3 + 5y^2 - 14y

first factor out a "y"

y(y^2 + 5y - 14)

y(y + 7)(y - 2)

The dimensions are then;
y
y + 7
y - 2

Grammy's apple orchard is selling apple cider in 34.7-ounce bottles for $2.09. Grammy's competitor is selling 24.6- ounce bottles of cider for $1.99. What is Grammy's competitor's price per ounce for cider?

Answers

Sent a picture of the solution to the problem (s).

Write an equation and solve. 21 is 35% of what number?

Answers

It's 35% of 60. You can create a ratio. I included the ratio but you can easily substitute 60 with the variable x.
(21/60)=(35/100)

If a grouping of numbers, variables, operators and/or functions used to represent a specific mathematical computation or connection is known as an expression. The expression 21 of 35% is 60.

What is the expression?

Let x represent the unknown number

The given data states that 21 is 35% of that unknown number.

Mathematically we can express this relationship as an equation:

0.35 * x = 21

To solve for x divide both sides of the equation by 0.35:

x = 21 / 0.35

Evaluating the expression on the right side of the equation:

x = 60

Therefore, 21 is 35% of 60.

Learn more about expression here:https://brainly.com/question/1859113

#SPJ6

a choir needs new robes for each of its 46 singers. Each robe costs $32.00. What will be total cost for all 46 robes?

Answers

You would take 32 times 46 which equals 1,472

The total cost of robes for the 46 choir members would be $1472

46 * 32 = $1472

Corinnes puppy eats 3 meals a day. How many meals does the puppy eat in 32 days

Answers

Corinne's puppies eat 92 meals in 32 days.

Corinne's puppy eats a total of 96 meals in 32 days.

To find out how many meals Corinne's puppy eats in 32 days, we need to multiply the number of meals per day by the number of days.

Determine the number of meals per day.

Since the puppy eats 3 meals a day, the number of meals per day is 3.

Calculate the total number of meals in 32 days.

Number of meals per day × Number of days = Total number of meals

3 meals/day × 32 days = Total number of meals

3 × 32 = Total number of meals

96 = Total number of meals

So, Corinne's puppy eats a total of 96 meals in 32 days.

Complete Question:

Corinnes puppy eats 3 meals a day. How many meals does the puppy eat in 32 days ?

Simplify the expression.

1/4 n (-24+8m-100p)

A. –6n + 2mn – 25np

B. –6n – 2mn + 25np

C. –24n + 8mn – 100np

D. –6n + 2m – 25np

Answers

1/4 n (-24+8m-100p)
= -24n/4 + 8mn/4 - 100np/4
= -6n + 2mn - 25np

answer
A. -6n + 2mn - 25np

The sum of two numbers is 62. The smaller number is 18 less than the number.what are the numbers ?

Answers

hmmm assuming you meant "is 18 less than the larger number".

let's say the numbers are "a" and "b".

a = smaller number
b = larger number

a = b - 18

[tex]\bf \begin{cases} a+b=62\\ \boxed{a}=b-18\\ ----------\\ \left( \boxed{b-18} \right)+b=62 \end{cases} \\\\\\ 2b-18=62\implies 2b=80\implies b=\cfrac{80}{2}\implies b=40[/tex]

what's a? well, a = b - 18.

What is the product of -2 1/2 and -3 1/3

A. -8 1/3
B. -6 1/6
C. 6 1/6
D. 8 1/3

Answers

-2 1/2 x -3 1/3
= -5/2 x -10/3
= 25/3
= 8 1/3

answer
D. 8 1/3

(A) negative 8 and 1/3

Naomi has earned $54 mowing lawns the past 2 days. She worded 21/2 hours yesterday and 41/4 hourse today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?

Answers

she worked 2 and 1/2 hours yesterday, and today she did 4 and 1/4 hours.

first off, let's check how many hours she worked total, and divide 54 by it.

so, first off, let's convert the mixed fractions to "improper" and add them up.

[tex]\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\\\ \stackrel{mixed}{4\frac{1}{4}}\implies \cfrac{4\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{17}{4}}\\\\ -------------------------------[/tex]

[tex]\bf \cfrac{5}{2}+\cfrac{17}{4}\impliedby \textit{our LCD will be 4}\implies \cfrac{(2\cdot 5)+(1\cdot 17)}{4} \\\\\\ \cfrac{10+17}{4}\implies \cfrac{27}{4}\implies \stackrel{total~hours}{6\frac{3}{4}} \\\\\\ \cfrac{\stackrel{wages}{54}}{\stackrel{hours}{6\frac{3}{4}}}\implies \cfrac{54}{\frac{27}{4}}\implies \cfrac{\frac{54}{1}}{\frac{27}{4}}\implies \cfrac{54}{1}\cdot \cfrac{4}{27}\implies \cfrac{216}{27}\implies 8~\frac{\$}{hr}[/tex]

Other Questions

Most auditory nerve fibers carry messages _______ hair cells. "If I had been there with my valiant Franks, I would have avenged Him."Clovis, King of the Franks Given the strategy that Clovis used to win loyalty from his subjects in Gaul, to whom is Clovis most likely referring? Robin files as head of household and has three children who reside in her home all year. her children are ages 12, 15 and 16. robin and all the children are u. s. citizens. robin provided more than half of all her childrens support and she will claim all the children on her federal income tax return. robins modified agi is $85,700 and her tax is $15,748. how much child tax credit is robin allowed in 2017? The java compiler is able to find all programmer errors. The scale on a map of Texas shows that 1 inch represents 20 miles. The actual distance from Austin to Dallas is 195 miles. On the map, how many inches apart are the two cities? Grasslands are considered transitional biomes. for which two biomes would grasslands be considered a transition? forest and tundra desert and savannah forest and savannah prairie and savannah desert and forest which speech would most likely be suitable for a casual delivery and addressing topics with humor The measure of each interior angle of a regular polygon is 140 degrees, how many sides does the polygon have Describe the differences among ultraviolet waves, visible light waves, and infrared waves. how are these waves alike? In seed plants, the entire male gametophyte is contained in a. seed b. pollen grain flower. d. cone. Outlining and mapping are useful ways of ___________ material for easier recall. The sum of two binomials is 3z-6. If one binomial is z+4, what is the other binomial? Which contribution from international organizations to fight disease is most necessary? A _______ is used to analyze and summarize your data without graphical support. Which one of the following chemical formulas represents an organic molecule The columbian exchange is a term used only historically to describe the exchange of crops, animals, and disease between the americas, europe, and africa. it is no longer present in the modern day. True or False? Based on these excerpts, how do the Haida and Maori cultures view the mother-child relationship? Both view mothers as being easily fooled by their children. Both view mothers as willing to sacrifice themselves for their children. Both view mothers as trying to reduce their childrens power over them. Both view mothers as caring and protective over their children. Convert the radian measure to degree measure. use the value of found on a calculator and round answers to two decimal places. five pi divided by six What role do end users play in incident reporting? should end users be encouraged to report suspicious occurrences? why or why not? math question down below Steam Workshop Downloader