A square image of an object on a video game has an initial side length of 25 pixels. To make the object appear closer, the side length of the square is increased by 10 pixels per second. This length change is represented by the function s(t) = 25 + 10t, where t is time in seconds. If the area of the square is A(s) = sa, find the formula for the area as a function of time, and then determine A(s(3)). A(t) equals +2+ t + 625 The area of the square image after 3 seconds is square pixels.​

Answers

Answer 1

Answer: A(t) = 100t^2 + 500t + 625

3,025 square pixels

Step-by-step explanation:

Answer 2

A function assigns the values. The area of the square image after 3 seconds is 3,025 sq. pixels.​

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A.) The area of the video game will be,

A(s) = [s(t)]²

A(s) = (25+10t)²

A(s) = 625 + 100t² + 500t

A(s) = 100t² + 500t +625

B.) The value of A(s(3)) will be,

A(s(t)) = 100(25+10t)² + 500(25+10t) + 625

A(s(t)) = 10,000t² + 50,000t + 62,500 + 12,500 + 5,000t + 625

A(s(t)) = 10,000t² + 55,000t + 75,625

A(s(3)) = 10,000(3)² + 55,000(3) + 75,625

A(s(3)) = 270,000 + 165,000 + 75,625

A(s(3)) = 510,625

The area of the square image after 3 seconds is,

A(s) = 100t² + 500t +625

A(3) = 100(3)² + 500(3) +625

A(3) = 900 + 1500 +625

A(3) = 3,025

Hence, The area of the square image after 3 seconds is 3,025 sq. pixels.​

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Related Questions

Which of the following items is the most likely to have a weight of 5 ounces?

ant
apple
cat
chair

Answers

Answer:

apple

Step-by-step explanation:

I did it before

If it takes Tanya 4.6 hours to get to her cousin's house while driving an average of 40 mph, how far away does her cousin live?

Answers

Her cousin lives 184 miles away

Explanation: In this problem you need to solve for the distance, and you are given speed and time. With this information, we need to use the speed formula which is s=d/t where s=speed, d=distance, and t=time

Next all you have to do is plug in your values, which should look like this-

40=d/4.6

Now that you have your equation, you must solve for d to get your distance by isolating d to one side of the equation. You do this, by multiplying 4.6 on each side of the equation.

This is what the math should look like-

(4.6)40=d/4.6(4.6)
184=d
d= 184 miles

I hope this helped!

What is the area of a rectangle that is 3.1 cm wide and 4.4 cm long? Write the full-precision answer first to see the corresponding feedback before entering the properly-rounded answer.

Answers

Answer:

Step-by-step explanation:

The area of a rectangle is expressed as A = Length * Width

Given the length of the rectangle = 4.4 cm

Width of the rectangle = 3.1 cm

Area of the triangle = 4.4 cm * 3.1 cm

Area of the triangle =13.64cm²

The full precision answer is 13.64cm²

Rounding the value up to the nearest cm² will give 14cm². Note that the value is rounded up to 14cm² because the first value (6) after the decimal point is greater than 4, hence 13 will be approximated to 14.

Geometry PLEASE HELP will give le brainliest

Answers

Answer:

From the given diagram, the measurement of ∠RQS is 106° and the measurement of ∠TQS is 74°

Step-by-step explanation:

For this problem, we are to find the measurements of ∠RQS and ∠TQS which makes up the straight line RQT. Straight lines have a measurement of 180°. So, since ∠RQS and ∠TQS make up ∠RQT, then we are goingt o set up an equation where we add ∠RQS and ∠TQS together and equal them to ∠RQT.

m∠RQS + m∠TQS = m∠RQT

Now, let's fill the information from the problem into our equation.

(11x + 7) + (8x + 2) = 180

Combine like terms on the left side of the equation.

19x + 9 = 180

Subtract 9 form both sides of the equation.

19x = 171

Divide by 19 on both sides of the equation.

x = 9

So, we know the value of x is 9. Now, let's plug in this value into each angle so we can see the measurements of each.

m∠RQS = 11(9) + 7 = 99 + 7 = 106°

m∠TQS = 8(9) + 2 = 72 + 2 = 74°

The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional
$1.35.

Answers

Full Question:

The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional  $1.35.

Which equation shows the  relationship between the number of posters, n, and the total cost, c, in dollars?

Answer:

[tex]C = 15 + 1.35n[/tex]

Step-by-step explanation:

Given

[tex]Base\ Charge = \$15[/tex]

[tex]Cost\ per\ print = \$1.35[/tex]

Required

Determine an equation to calculate the total cost

First, we need to determine the cost of n posters;

If 1 poster costs $1.35, then

[tex]n\ posters = n * 1.35[/tex]

[tex]n\ posters = 1.35n[/tex]

Next, add the cost of n posters to the base charge. This gives total cost (C)

[tex]C = Base\ Charge + n\ posters[/tex]

[tex]C = 15 + 1.35n[/tex]

Answer:  

I Did The Test And The Correct Answer is that c will equal to 1.35n + 15

It Is 1.35n + 15

What is the answer to
-3-7x - 41 - 7>68

Answers

Answer:

x < -17

Step-by-step explanation:

-3-7x - 41 - 7>68

Combine like terms

-7x-51>68

Add 51 to each side

-7x-51+51>68+51

-7x > 119

Divide each side by -7, remembering to flip the inequality

-7x/-7 < 119/-7

x < -17

Which of these numbers is composite? (Choice A) A 29 (Choice B) B 41 (Choice C) C 71 (Choice D) D 79 (Choice E) E 99

Answers

Answer: E. 99

Step-by-step explanation:

A composite number has more than two factors which means not only including 1 and itself, but at least one other.

factor of 29: 1, 29

factor of 41: 1, 41

factor of 71: 1, 71

factor of 79: 1, 79

factor of 99: 1, 3, 9, 11, 33, 99

Clearly 99 has more than two factors.

Hope this helps!! :)

Please let me know if you have any questions

I think the answer is B

A restaurant has 2 flavors of ice cream, 4 types of sauce and 7
toppings.
A student chooses one topping and one type of sauce. How many
different desserts could she make?

Answers

Answer:

8 differnt types of desserts

Step-by-step explanation:

4 each ice cream

90+ POINTS PLEASE HELP Choose one problem below and use trigonometry to solve for a missing angle x of the right triangle

Answers

Answer:

[tex]x\approx49.3266\textdegree[/tex]

Step-by-step explanation:

So we want to find Angle x.

Note that we already know the side length of the side opposite to Angle x.

We also know that the hypotenuse is 56.3.

Therefore, we can use the sine function. Recall that:

[tex]\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

The opposite side is 42.7. The hypotenuse is 56.3. Substitute:

[tex]\sin(x)=\frac{42.7}{56.3}[/tex]

Take the inverse sine of both sides.

[tex]\sin^{-1}(\sin(x))=\sin^{-1}(\frac{42.7}{56.3})[/tex]

The left side cancels:

[tex]x=\sin^{-1}(\frac{42.7}{56.3})[/tex]

Use a calculator. Thus:

[tex]x\approx49.3266\textdegree[/tex]

And that's our answer :)

Answer:

[tex]\Huge \boxed{\mathrm{49.33 \° }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the missing angle.

[tex]\displaystyle \mathrm{sin \theta =\frac{opposite}{hypotenuse} }[/tex]

The opposite side to angle x is 42.7.

The hypotenuse of the right triangle is 56.3.

[tex]\displaystyle \mathrm{sin} (x)=\frac{42.7}{56.3}[/tex]

Taking inverse sin of both sides.

[tex]\displaystyle x=\mathrm{sin^{-1}}( \frac{42.7}{56.3})[/tex]

[tex]x= 49.3265955[/tex]

The missing angle measures approximately 49.33°.

[tex]\rule[225]{225}{2}[/tex]

Which concept is associated with distribution of power in the United States government? A.separation of powers
B. production and sustenance
C..leadership
D.law and order

Answers

Answer:

A separation of power

Step-by-step explanation:

the United states has different forms of government to make sure that we are not re writing history

Answer:

It's separation of powers

The rest of the answers are just building blocks of government. Easy question smh

What is the area of a rectangle that is \dfrac1{2} 2 1 ​ start fraction, 1, divided by, 2, end fraction of a meter long and \dfrac38 8 3 ​ start fraction, 3, divided by, 8, end fraction of a meter wide?

Answers

Answer:

[tex]Area = \frac{3}{16} m^2[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Length = \frac{1}{2}\ m[/tex]

[tex]Width = \frac{3}{8}\ m[/tex]

Required

Determine the area of the rectangle;

Area is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute values for Length and Width

[tex]Area = \frac{1}{2} * \frac{3}{8}[/tex]

[tex]Area = \frac{1 * 3}{2 * 8}[/tex]

[tex]Area = \frac{3}{16}[/tex]

Hence, the area of the rectangle is [tex]\frac{3}{16}m^2[/tex]

6x - 8x + 5 = -2(x + 2) + 7

Answers

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Hi my lil bunny!

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~ Question : [tex]6x-8x+5=-2(x+2)+7[/tex]

________________

[tex](Simplify.both.sides.of.the.equation.)\\6x-8x+5=-2(x+2)+7\\6x + -8x + 5 = (-2)^{(x)} + (-2) (2) + 7 ( Distribute)\\6x + - 8x + 5= -2x + -4 + 7\\(6x + -8x) (5) = (-2x) + ( -4x + 7) (Combine.Like.Terms)\\-2x + 5 = -2x + 3\\( Add.2x.to.both.sides.)\\-2x + 5 + 2x = -2x + 3 + 2x\\5 = 3\\(Subtract.5.from.both.sides.)\\5 - 5 = 3 - 5\\0 = -2[/tex]

Answer : There are no solutions.

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Have a great day/night!

❀*May*❀

Given
mZAOC is a straight angle.
mZBOC = 6x + 29°
mZAOB = 3x + 124°
Find mZBOC:
O
с
A

Answers

Answer:

47°

Step-by-step explanation:

Given that m<BOC = 6x + 29, m<AOB = 3x + 124, and m<AOC is a straight angle, therefore, m<AOC = 180°.

m<BOC +m<AOB = 180°

6x + 29 + 3x + 124 = 180

Solve for x

6x + 3x + 29 + 124 = 180

9x + 153 = 180

Subtract both sides by 153

9x = 180 - 153

9x = 27

Divide both sides by 9

x = 3

m<BOC = 6x + 29

Plug in the value of x

m<BOC = 6(3) + 29

m<BOC = 18 + 29 = 47°

Solve the equation -7x - 9 = 19 x =?

Answers

Answer:-4

Step-by-step explanation:

-4 x -7 = 28

28-9=19

Answer:

x=-4

Step-by-step explanation:

We are given the equation:

-7x-9= 19

We want to solve for x. Therefore, we must isolate x on one side of the equation.

9 is being subtracted. The inverse of subtraction is addition. Add 9 to both sides of the equation.

-7x-9+9= 19+9

-7x= 28

x is being multiplied by -7. The inverse of multiplication is division. Divide -7 on both sides.

-7x/-7=28/-7

x= 28/-7

x= -4

Let’s check our solution. Plug -4 in for x and solve.

-7x-9=19

-7(-4)-9=19

28-9=19

19=19

This checks out, so we know our solution is correct.

The solution to the equation -7x-9=19 is x= -4

13. If B is the midpoint of AC, and AC = 8x - 20,
find BC.
3x – 1
А A
B
C

Answers

3x-1+BC=8x-20 SOLVE.

the perimeter P of a square is four times the length of one side s, which can be expressed as P = 4s. is (13,51) a solution of this equation? if not, find a solution that uses one or the other of the given values

Answers

Answer:

13,52

Step-by-step explanation:

S=13   4s=13x4=52

Peter has 100 dollars. His mom gives him x dollars more. Write an expression to represent how much money he now has.

Answers

Answer:

100 + x

Step-by-step explanation:

If Peter has an initial 100$, and his mom gives him an additional x$, then we can simply write the total amount in an expression using addition as such:

100 + x

So Peter now has 100 + x amount of dollars.

Cheers.

Answer:

[tex]\huge\boxed{\$(x+100)}[/tex]

Step-by-step explanation:

Peter has = $100

He has been given = $x more.

So, the expression becomes

=> $(100+x)

OR

=> $(x+100)

Is a quadrilateral with four congruent sides a regular polygon? Plz help ASAP

Answers

Answer:

No a quadrilateral with four congruent sides is actually a rhombus. hope this helps

Yes it is... 45 point on my page if you answer the same thing twice

6 ten thousands 4 hundreds × 10

Answers

Answer:

604,000

Step-by-step explanation:

60,400 x 10

add one zero onto the end and replace the comma.

604,000

[tex]\int\limits^e_1 {\frac{1}{x\sqrt{1-(logx)^{2} } } } \, dx[/tex]

Answers

For the integral

[tex]I=\displaystyle\int_1^3\frac{\mathrm dx}{x\sqrt{1-(\log x)^2}}[/tex]

(assuming [tex]\log x[/tex] is the natural logarithm with base [tex]e[/tex]) substitute [tex]u=\log x[/tex] and [tex]\mathrm du=\frac{\mathrm dx}x[/tex]. Then the integral is equivalent to

[tex]I=\displaystyle\int_{\log1}^{\log e}\frac{\mathrm du}{\sqrt{1-u^2}}=\int_0^1\frac{\mathrm du}{\sqrt{1-u^2}}[/tex]

Next, substitute [tex]u=\sin t[/tex] and [tex]\mathrm du=\cos t\,\mathrm dt[/tex]:

[tex]I=\displaystyle\int_{\sin^{-1}0}^{\sin^{-1}1}\frac{\cos t}{\sqrt{1-\sin^2t}}\,\mathrm dt=\int_0^{\frac\pi2}\frac{\cos t}{\sqrt{\cos^2t}}\,\mathrm dt[/tex]

We have [tex]\sqrt{x^2}=|x|[/tex] for all [tex]x[/tex], but in the given integration interval, [tex]\cos t\ge0[/tex], so

[tex]I=\displaystyle\int_0^{\frac\pi2}\frac{\cos t}{\cos t}\,\mathrm dt=\int_0^{\frac\pi2}\mathrm dt=\boxed{\dfrac\pi2}[/tex]

(Of course, with a little foresight, you could have immediately combined the two substitutions and started off with letting [tex]\sin u=\log x[/tex].)

please answer. will give brainliest

Answers

Answer:

2

Step-by-step explanation:

thats the answer pls give brainliest.

Answer: OPTION B

Step-by-step explanation:

Angle 25° is in the interior of two lines so we are actually finding the alternative interior angles.

Alternate angles are angles that on opposite sides that locate on opposite relative sides of the other lines.

The only three labeled angle that are interior. Angle 25°, Angle 2, and Angle 3.

Angle 25° and Angle 3 are on opposite sides, but they are on the same relative side of the other lines, which does not fit the alternate angle definition.

Angle 25° and Angle 2 are on opposite sides and on the opposite relative side of the other lines, so Angle 2 is the alternate to Angle 25°

Hope this helps!! :)

Please let me know if you have any question

Evaluate each expression if a = -1, b = -8, c = 5, and d = -1.4.
1. |6a|
2. |2b + 4|
3. -|10d +12|
4. |17c| + |3b-5|

Answers

Answer:

2

Step-by-step explanation:

-8(2z - 70)
use z = 5 and c = 2

Answers

Answer:

480

Step-by-step explanation:

So we have the expression:

[tex]-8(2z-70)[/tex]

And we want to evaluate it for z=5 and c=2:

So:

[tex]=-8(2(5)-70)[/tex]

Multiply within the parentheses:

[tex]=-8(10-70)[/tex]

Subtract within the parentheses:

[tex]=-8(-60)[/tex]

Multiply:

[tex]=480[/tex]

Answer:

480

Step-by-step explanation:

-8( 2(5) - 70)

-8 ( 10 - 70)

-80 + 560

480

Can someone please help me ?!

Answers

Answer:

sjjxdhbddgcKHCaydkfuksjkgd

Step-by-step explanation:

k,huglzxukugdldlitgjgkdkhf

During the summer, you charge people $8 per hour for babysitting and a $10 fee for traveling to their home. If you made $130 last weekend, how many hours did you spend babysitting?​

Answers

let x = number of hours babysitting
let y = total $ made

y = 8x + 10
130 = 8x + 10
120 = 8x
x = 15

Therefore she babysat for 15 hours.

Answer:

15

Step-by-step explanation:

lets make an equation and solve it (its easier)

130=8x+10

130-10=8x

120=8x

x=120/8=15 hours

1)A fish tank has a volume of 520 in. it is emptied at a constant rate of 10 cubic inches every minute. Which equation represents the volume v,after t, time in minutes

Answers

Answer:

v=520 -10t

Step-by-step explanation:

the rate of decrease is given a variable to calculate the rate of change. v is represented by 520 - the number of minutes.

V = 520 - 10t is the representation of the decrement of the volume of the fish tank.

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.

Given that volume of fish tank = 520 inch³

Now since volume is decreasing at a rate of 10 inche³/minute

Decrement of t minutes = 10t

So,

New volume = Original volume - decrement of t minutes

V = 520 - 10t

Hence "v = 520 - 10t is the representation of the decrement of the volume of the fish tank".

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i need help with this whole page

Answers

Answer:

Step-by-step explanation:

k - 4.8=0.32 - 5.4k answer?

Answers

Answer:

k =4/5

Step-by-step explanation:

[tex]k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}[/tex]

Sally hopes to purchase a 2-boat trailer for around $ 21,000. Describe all the numbers that when rounded to the nearest thousand are 21,000.

Answers

Answer:

20,500 or greater. 21499 or less.

Step-by-step explanation:

All the numbers that rounds to 21000 when rounded to nearest thousand are from 20501 to 21499.

What are rounded numbers ?

We round numbers to make it easier to remember and rounding numbers to a certain place retains it's value to that place.

According to the given question Sally hopes to purchase a 2-boat trailer for around 21000 dollars.

We have to describe all the numbers which become 21000 when rounded to nearest thousand we have to observe the digit at thousands place here it is less than 5 so we'll subtract 1 to that digit and make all the digits after that zero which becomes 20000.

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An appliance company uses the function f(h) = 40h + 120 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(h) = $200.

Answers

Answer:

fh. = 40h + 120,  fh. = $200

200 = 40h + 120

200 - 120 = 40h

80 = 40h

80/40  = h

 2 = h

h = 2 hours.

Step-by-step explanation:

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