Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Which expression is equivalent to (3x^2y)^2 (2x^4y^2)^2?
A. 10x^10y^6
B. 12x^24y^8
C. 24x^10y^7
D. 36x^12y^6
Solve the proportion.
10
15
a
24
a = [?]
help please I will give you brainliest!!
Let's solve your equation step-by-step.
10/a=15/24
Step 1: Cross-multiply.
10/a=15/24
(10)*(24)=15*a
240=15a
Step 2: Flip the equation.
15a=240
Step 3: Divide both sides by 15.
15a / 15 = 240/15
a=16
PLEASE HELPP I REALLY NEED IT
Answer: Vertical angle proof
Step-by-step explanation: First off, this is really easy if you know how to do it. I think you should be able to figure it out. If you really are in collage. So Vertical angle proof, QPR is essentially (2x-30) but we need to find x. We know a triangle is 180 degrees and if it's a right angle then two angles add to 90.
So x+(2x+30)=90, 3x+30=90, 90-30=60, 3x=60, x=20. So there you have it. Now put x into the equation, 2(20)+30=70
70
Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?
A. 24 months
B. 48 months
C. 36 months
D. 12 months
Answer: 24 Months
Step-by-step explanation:
Will give Brainliest .
a.188.5 cubic units
b. 204.2 cubic units
c. 1,021.0 cubic units
d. 942.5 cubic units
Answer:
d. 942.5 cubic units
Step-by-step explanation:
Volume of the oblique cylinder = πr²h
h = 12
r = 5
Plug in the values
Volume = π × 5² × 12
Volume = 942.477796
Volume = 942.5 cubic units (nearest tenth)
NEED HELP DUE AT 10:20 am Find the measure of missing angle
Ok the sum of the angles or a triangle is 180˚
90+40=130
So the answer in 50˚.
Please answer as soon as possible
Will give brainly
Which set of numbers shows the lower extreme, the lower quartile, the median, the upper quartile, and the upper
extreme for the box-and-whisker plot shown?
(14, 13, 28, 45, 54)
(6,12, 28, 44, 54)
(12, 20, 28, 44, 54)
(6,19,27, 44,54)
Will give brainly
Please help me
What is missing in the percent what is number 45 of 80
Answer:
35
Step-by-step explanation:
Over 4 days, Krista deposited $45 into
her bank account, transferred $30 to a
friend, deposited $59, and withdrew
$18. What was the mean change per day
to Krista's account during that week?
Answer:
50
Step-by-step explanation:
45 - 30 = 15
15 + 59 = 74
74 - 18 = 56
The mean change per day to Krista's account during the week is $ 14
What is Average?
The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Given data ,
The total sum of money in Krista's account = $45 - $30 + $59 - $18
= $56
Total number of days = 4 days
Now ,
Mean change per day = Sum of money in Krista's account / Total number of days
Mean change per day = 56 / 4
= $ 14
Hence , The mean change per day to Krista's account during the week is $ 14
To learn more about average or mean click :
https://brainly.com/question/17160638
#SPJ2
Pls help if not that’s fine just pls stop with the links
Answer:
C. 73 and 73
Step-by-step explanation:
An isosceles triangle has two angles that are the same, that narrows it down to C and D. The question states that there is only one 34° angle so it has to be C.
Answer:
C. 73° and 73°
Step-by-step explanation:
We know that the sum of interior angles in a triangle is equal to 180° and
Isosceles triangles has two angles with same measurement
it stated in the question that exactly one angle has measure of 34°
So the other two angles must be equal for the triangle to be isosceles
180 - 34 = 146 and this divided by 2
73° and 73° is the answer.
A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour
Answer:
A
Step-by-step explanation:
This is a fraction equal to
6 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour
4. There are 4 white socks, 6
black socks, 3 blue socks, and
2 red socks. What is the ratio
of blue socks to all socks in
simplest form?
PLEASE HELP
600 miles in 8 hours
_?_miles per hour
Answer:
its easy
Step-by-step explanation:
ya just do 600/8 = b
b= 75 miles per hout
Answer:
The answer is 75 miles per hour
Step-by-step explanation:
600 miles ÷ 8 hours = 75 miles
A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter
Answer:
haach f,f msfmavfb
Step-by-step explanation:
Please answer the questions attached below
Answer:
Step-by-step explanation:
The parallelogram is two congruent triangles. Area of blue triangle is ½·2·2 = 2 units²
Area of parallelogram = 4 units²
:::::
area of blue parallelogram = 4×9 = 36 units²
:::::
area of green parallelogram = 3×5 = 15 units²
Determine which lines, if any, are parallel? Explain.
PLEASE PLEASE HELP ME ASAP
Answer:
The 2 on the right because they don't cross and they are straight
Step-by-step explanation:
Each pattern below is made of six congruent
squares. Which pattern can be folded into a cube
that has a surface area of 96cm??
Step-by-step explanation:
im not sure have a good day stay safe and get a good grade
help me pleeeeeeeeeeeeease
Answer:
1:9
Step-by-step explanation:
9/9 = 1 and 81/9 = 9
Thus, 9:81 ratio simplified is 1:9
Find the distance between the points X and Y shown.
Answer:
5 units away
Step-by-step explanation:
a fair cube has 2 red sides, 2 blue sides, and 2 green sides what is the probability of rolling red or blue
Finding the area of each
Answer:
C.
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
2*2=4
find the greatest 5 digit number which exactly divide by 16, 56 and 120
five-digitsinceStep-by-step explanation:
Ummm.....I have never done this before but I THINK what your supposed to do is find the lcm of all the pairs you can get from those 3 numbers.
so lcm(16,56)=112
lcm(56,120)=840
lcm(16,120)=240
Now take any number from this and take the lcm of that
lcm(112,840)=1680
that is the number if you take the lcm of any of them so it is the lcm of them all but it is not a number. so 16,56, and 120 are divisible by 2 I just multiplied 1680 by 2 until I got the highest possible 5 digit number which was 53760
Hope that helps :)
9514 1404 393
Answer:
99120
Step-by-step explanation:
The LCM of 16, 56, 120 can be found from their factors:
16 = 2^4
56 = 2^3 · 7
120 = 2^3 · 3 · 5
So, the least common multiple is 2^4×3×5×7 = 1680.
10^5/1680 = 59 r 880
The largest 5-digit number divisible by 16, 56, and 120 is 59×1680 = 99120.
Put the equation y =x^2-8x + 12 into the form y(x-h)^2+k
Answer: y =
Answer:
y = (x - 4)² - 4
Step-by-step explanation:
y = x² - 8x + 12
y = ( x² - 2(4)x + 4² ) - 4² + 12
y = (x - 4)² - 4
HURRY ASAP
Solve the following equation for x
a. x=0.5
b. x=3
C. X=2
d. x=1
This Question: 1 pt
Determine whether the variation between the indicated quantities is direct or inverse.
The time required to defrost a frozen hamburger in a room and the temperature of the room.
Choose the correct answer below.
Inverse
Direct
Answer:
Inverse variation
Step-by-step explanation:
Required
What type of variation is described in the question
From the question, we understand that: the relationship is between time and temperature
The higher the time, the lower the temperature of the hamburger (to get freeze).
Hence, the relationship is an inverse variation.
If an object with a volume of 400 is dilated by 1/2, what is the new volume?
A furniture company currently produces 6800 chairs per month. If production decreases 7%, find the amount of the decrease and the new number of chairs produced each month.
Answer:
7% production decreases of 6800 means you lost 476 chair a month and you would only produce 6324 chair per montg
please help me. this is my last problem and i’m clueless.
Answer:
-3
Step-by-step explanation:
so you SUBSTITUTE -2 in for z
ok i think they are trying to be tricky here
so
-1 - (-(-2))
inside parentheses, the two negatives are going to cancel eachother out.
now you have
-1 - (2)
which is
-1 - 2
-1 minus 2 is -3
Pls hurry I need an instant answer ASAP! Thank you
Answer:
A= -2
Step-by-step explanation:
Hope I helped!! Negitive 2
Help please I give brainliest and be serious
Answer:
you add all sides then you can calculate