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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,
Length of a rectangle is given by the expression(6t + 5) cm
Width or height of the rectangle is given by the expression,[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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7. 2y + 13.2 =78
у =
Step-by-step explanation:
I hope it will help you here's the answer
Which graph shows a system with no solutions? Graph A Graph B Graph C y= 2r-1 2y 4x-2 A. Graph C OB. Graph B C. Graph A
Answer:
graph b
Step-by-step explanation:
solve x²-24x+14=0 by completing the square. what are the solutions
Answer:
x=±√130+12
I believe :-)
Consider the equation 3x+10=2x+10. Does this equation have one solution, infinitely many solutions, or no solutions? Explain your answer.
Answer:
One solution: x = 0
Step-by-step explanation:
Starting with 3x+10=2x+10,
subtract 2x from both sides. We get x + 10 = 10, or x = 0. This equation has ONE solution, x = 0.
What is the slope of a line parallel to the line whose equation is 6x-y=1. Fully reduce your answer.
Answer:
0, -1
1, 5
(Hope it helped)
Answer:
I believe the slope is 6
Step-by-step explanation:
6x - y = 1
- y = - 6x + 1
-1 ( - y = - 6x + 1)
y = 6x + 1
6 = slope
6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)
Answer:
5(8x + 6y), 10(4x + 3y), 2(20x + 15y)
Step-by-step explanation:
(5x *8) + (5x *6) = 40x + 30x no
(5 * 8x) + (5 *6y) = 40x + 30y yes
10*40x + 10*30y = 400x + 300y no
10*4x + 10*3y = 40x + 30y yes
2y *20x + 2y*15 = 40xy + 30y no
2*20x + 2*15y = 40x + 30y yes
The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.
Given :
Expression -- (40x + 30y)
The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):
Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).
Step 2 - Take the 10 common in the given expression.
= 40x + 30y
= 10(4x + 3y)
Step 3 - Also can take 2 common in the given expression.
= 40x + 30y
= 2(20x + 15y)
Therefore, the correct option is D) and F).
For more information, refer to the link given below:
https://brainly.com/question/25834626
simply the following (z⁵)²
Answer:
Z^10
Step-by-step explanation:
Answer:
multiply 5*2=10
your answer will be =z^10
Step-by-step explanation:
how to find the sequence
X. Y
0. 0
1. 1.5
2. 4
3. 7.5
4. 12
Answer:
they add one half to each number
How to solve 240=-16 Equation
no idea
Step-by-step explanation:
u can use google for this if u r in hurry
10m - 8n^2
(if m = 2 and 11 = -3)
The solution of the equation when m = 2 and 11 = -3 will be - 52.
What is a solution to a system of equations?For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs,
So solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
We have been given; 10m - 8n^2
(if m = 2 and 11 = -3)
If we plug in the variable
the equation is 20 - 8(-3)^2
Now, do the exponent
So, 20 - 8^9,
Then multiply
20-72 = -52.
Therefore, the solution of the equation when m = 2 and 11 = -3 will be - 52.
Learn more about finding the solution graphically here:
https://brainly.com/question/26254258
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50 points plus Brainnlest for right answer
What is the equation?
What should you replace for each given variable?
What should you solve for?
Equations: 60x + 3000 = 3,000, 600 + 150y = 3000
X: 20
Y: 10
You should solve for x & y
Q1: 0, it's already filled up to the max of 3000 pounds.
Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16
I hope this helped, ask if you need more help :)
(3 + zi) (3 + 4i) - (3 + zi) (3 - 2i)
Express in simplest a+bi form
Answer:
Step-by-step explanation:
9+12i+3zi+4zi²-(9-6i+3zi-2zi²)
= 9+12i+3zi+4zi²-9+6i-3zi+2zi²
= 18i+6zi²
= i(18+6zi) or 6i(3+zi)
i hope this is the anwer you're looking for
Worth 30 points.
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
the square root of x minus 3 plus five equals x.
Picture of question and equation attached.
Answer:
x=7 valid solution
x=4 extraneous solution
Step-by-step explanation:
sqrt( x-3) +5 = x
Subtract 5 from each side
sqrt( x-3) +5 -5= x-5
sqrt( x-3) = x-5
Square each side
(sqrt( x-3))^2 = (x-5)^2
Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25
x-3 = x^2 -10x+25
Subtract x from each side
-3 = x^2 -10x -x+25
Add 3 to each side
0 = x^2 -11x +25 +3
0 = x^2 -11x+28
Factor
0 = (x-7)(x-4)
Using the zero product property
x-7 =0 x-4=0
x=7 x=4
Check the solutions
sqrt( x-3) +5 = x
x=7
sqrt( 7-3) +5 = 7
sqrt(4) +5 = 7
2 +5 = 7 valid solution
x=4
sqrt( 4-3) +5 = 4
sqrt(1) +5 = 4
1 +5 = 4 not true extraneous solution
What four consecutive integers have a sum of 90?
Answer:
x, x+1, x+2, x+3.
Step-by-step explanation:
I took the test
Answer:
21 + 22 + 23 +24 = 90
Step-by-step explanation:
Let's represent this with x:
x+x1+x+2+x+3 = 90
Group the x's together
4x+6 = 90
subtract 6 on both sides
4x=84
x=84/4
x= 21
Rasu made some chocolate milk. She added 3 tsp. Of cocoa mix with 2 cups of milk. Farah also made some chocolate milk. She added 5 tsp. Of cocoa mix to 3 cups of milk. Which mixture is more chocolatey flavored (stronger chocolate flavor)? Explain your reasoning.
The correct answer is Farah's mixture
Explanation:
In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.
Rasu:
Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2 or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.
Farah:
The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.
A store is marking down the price of a television 25% from the original price of $250 which expression can be used to find the markdown price
Answer:
62.5%
Step-by-step explanation:
Thw price markdown will be 62.5%
Answer a I think
Step-by-step explanation:
Which one is the right answer
Answer:
90 degrees
Step-by-step explanation:
if you add a line from point B to point D, you will make a square and all sides are equal to 90 degrees.
use angle 3 and 4 which equal 90. divide that by 2 and each side is equal to 45. since we know that all sides are equal, angle 3 is equal to angle 2. so from here you add 45 + 45 and get 90 degrees.
HOPE THIS HELPS. can i have brainliest please?
I don’t get it . I need help please!
Answer:
You need to solve it like a rectangle
Scale 1cm = 30Yd
Formula = A=lxw
Length = 7x30=210yd
Height = 4x30=120yd
Answer 120x210= 25,200 sq. yd.
Right, make sense?
Answer:
25200 square yards
Step-by-step explanation:
Reminder: the area of a parallelogram is its length times its height. In that case, it would be 4cm*7cm.
But you have to remember that 1 cm represents 30 yards, so you have to multiply everything by 30 first, and then solve:
4*30 yards * 7*30 yards
= 120 yards * 210 yards
= 25200 square yards.
Which set of side lengths form a right triangle?
a.) 2 inches, 3 inches, 4 inches
b.) 6 inches, 8 inches, 10 inches
c.) 8 inches, 9 inches, 11 inches
d.) 10 inches, 12 inches, 13 inches
A baker makes 4 apple pies and 9 chocolate cream pies what is the ratio
TRUE OR FALSE
Angle BAH and angle DAG form linear pair.
Answer:
false
Step-by-step explanation:
All shirts are the same price. Which deal is cheaper per shirt?
A) Buy 2 shirts and get 25% off.
B) Buy 3 shirts and save 30%.
Answer:
The answer of this question is option A
Jordan get a $10 allowance and works a job that pays $7.00 per hour. Alex gets a $20 allowance and works a job that pays $6.50 per hour. If they both work the same number of hours each week, how many hours would they need to work to have the same amount of money for the week?
Answer:
20 hours
Step-by-step explanation:
Let x = number of hours
Jordan
Allowance = $10
Pay per hour = $7
Total = 10 + 7x
Alex
Allowance = $20
Pay per hour = $6.50
Total = 20 + 6.50x
Equate total of Jordan and Alex earnings
10 + 7x = 20 + 6.50x
Collect like terms
10 - 20 = 6.50x - 7x
-10 = - 0.5x
Divide both sides by - 0.5
x = -10 / -0.5
= 20
x = 20 hours
Jordan and Alex will both work for 20 hours to have the same amount of money in a week
Gloria and her friends love the Caramel Macchiato at Black Rock Coffee.
If she pays $19.05 for 4 macchiato’s and she adds a bagel for $1.25, how much is 1 macchiato?
Gloria still wants her macchiato and
bagel but decides to buy another
macchiato for her friend.
How much does she owe?
See attachment for math work and answer.
Which one?
A or B?
the value X = −3 and Y = 6.
what would be the answer to this
4y−3x =
Answer:
15
Step-by-step explanation:
First we would want to plug the x value given -3 into x in the equation then we want to plug the y value given 6 in the equation then solve.
4(6) - 3(-3) = ?
4 x 6 = 24
-3 x -3 = 9
24 - 9 = 15
Hope this helps
ft. = 4.8 yd.
How many feet is it
if X = 5 then 3( 2X - 4) - X
Answer:
13
Step-by-step explanation:
Answer:
well if you're looking for the answer, it is: 13
Step-by-step explanation:
determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?
Answer:
$60
Step-by-step explanation:
180/3 = 60
I hope this helps :)
Answer:60 per hour
Step-by-step explanation: you divide 180 by 3
walking at a speed of 12 feet per second. How many feet per hour is this? *
Answer:
43200 feet per hour
Step-by-step explanation: