What is the length of c on the graph below?
6
10
8
14​

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Step-by-step explanation:

L = 6t+5

H = √t

A = L*H

= (6t+5) *√t = 6t√t + 5√t

A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t

= 6t/2√t + 6√t + 5/2√t

Expression for the rate of change of the area with respect to time will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second

It's given in the question,

      (6t + 5) cm

       [tex]\sqrt{t}[/tex] cm

Area of the rectangle is given by,

Area = Length × Height

A = (6t + 5)(√t)

A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]

Now find the derivative of area (A) with respect to time (t).

[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]

A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

     Therefore, expression for the rate of change of the area will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

Learn more,

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Answer:

1

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

10.50$

Step-by-step explanation:

Answer:

Slope = -2/7; Y intercept = +2

Step-by-step explanation:

First, for this particular question - we want to convert the equation to slope intercept form! You may recognize it already, it looks like this:

y = mx + b

Here's how:

[tex]2x+7y=14\\2x+7y - 2x = -2x+14\\7y=-2x+14\\\frac{7y}{7} =\frac{-2x+14}{7} \\y = \frac{-2}{7}x+2[/tex]

The above shows this equation in slope intercept form: y = -2/7x + 2.

The slope of this line is -2/7 while the y intercept is 2!

*Note*: In the slope-intercept formula, m stands for the slope, and the b is the intercept!

Hope I was of assistance! Algebra can be a little difficult but you'll get it! Have a nice day and spread the love! <3

slope: 3

y-intercept: 4

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

y= 2x +2 -----(2)

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0

Answer:

10+(-4)=6

Step-by-step explanation:

Answer:

-4 + 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the initial money in the account be y.

Lexi withdrew $150 from the stand's bank account to buy supplies. This will be:

= y - $150

Later, she deposited $437 from the day's sales. The money in the account will now be:

= y - $150 + $437

= y + $287

The total change in the stand's bank account relative to where it started will be the initial amount + $287.

Answer:

287

Step-by-step explanation:

Answer:

5/z

Step-by-step explanation:

(7/z + 3) - (2/z + 3)

distribute the minus sign

(7/z + 3) - 2/z - 3

simplify

7/z + 3 - 2/z - 3

5/z

Answer: C (ED 2020)

Step-by-step explanation:

C, s + c = 2.75

c - s = 1.5

.60 mi/h

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

We have the equation:

(ax^2 + 3x + 2b) - (5x^2+bx-3c)=  3x^2 - 9

First, move all to the left side.

(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0

Now let's group togheter terms with the same power of x.

(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.

This must be zero for all the values of x, then the things inside each parenthesis must be zero.

1)

a - 5 - 3 = 0

a = 3 + 5 = 8.

2)

3 - b = 0

b = 3.

3)

2b + 3c + 9 = 0

2*3 + 3c + 9 = 0

3c = -6 - 9 = -15

c = -15/3 = -5

Then we have:

a = 8, b = 3, c = -5

a + b + c = 8 + 3 - 5 = 6

Answer:

1.8

Step-by-step explanation:

27 miles per hour

so 27 divided by 15

im pretty sure that’s correct.

Answer:

The first one has a slope of 4

The second one has a slope of 0.3 repeating

Step-by-step explanation:

You pick two points on the graph.

You find the x and y coordinates of each point.

You find the difference between the two x coordinates.

You find the difference between the two y coordinates.

Divide the difference in the y coordinates by the x coordinates.

If im wrong sorry owo im only in elementary school... <3

Answer:

4/6

Step-by-step explanation:

Answer:

18 square units how to solve this is there are four square units and four sides that’s 16 plus the top one and bottom one. That makes 18

Step-by-step explanation:

Answer:

54/35 is a rational number!

Have a great rest of your day!

Answer:

Yes and no

Step-by-step explanation:

The number 54 is a rational number if 54 can be expressed as a ratio, as in Rational. A quotient is the result you get when you divide one number by another number. Although the 54 is good the 35 is not due to it if you had to choose if it was or not you can say yes but it determines the question.

Answer: 400/685, which simplifies to 80/137. Decimal is about 0.58.

Step-by-step explanation: To calculate the slope of an incline, all you have to do is put the rise over run. In other words, y/x. In this case, The Duquesne incline rises 400 feet while moving horizontally 685, which gives you both the x and the y.

Answer:

C. 45 + 7h = g

Step-by-step explanation:

This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.

Example:

Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.

45 + 7(3) = g

Now you just have to solve the equation.

45 + 21 = g

Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.

g = 66

Answer:

okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17

explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry  :(

Answer:

562

Step-by-step explanation:

Plug in the values of x, y, and z provided.

(5(5)-1)^2-2(7)

Solve.

(25-1)^2-14

(24)^2-14

576-14

562

Answer: 562

Step-by-step explanation:

(5x+y)^2-2z

first put in the known values. (5(5)+(-1))^2-2(7)

(25+-1)^2-14

Second, do 25+-1=24

(24)^2-14

Third, do 24 squared

576-14

Subtract

562

Answer:

if u get it pls tell me

Step-by-step explanation:

Answer: wut yea i think it's six too.

The answer is 4 because look at this: ♥ ♥

That's 2 hearts

If you add 2 more:

♥ ♥ ♥ ♥

1  2  3  4 --> 4 hearts!

♥ ♥ + ♥ ♥ = ♥ ♥ ♥ ♥

So, 2 + 2 = 4.

Ok :

Answer:

Not too sure because I don't know how it works for your site but drag the B dot to the A dot and drag that A dot to the C dot so their all going through the lines while being connected.

(sorry if its incorrect had a hard time reading the picture)