Answer:
[tex]\dfrac{dV}{dt}=502.65\ mm^3/s[/tex]
Step-by-step explanation:
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
The rate of change of volume means,
[tex]\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}[/tex]
We have, [tex]\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm[/tex]
So,
[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s[/tex]
So, the volume is increasing at the rate of [tex]502.65\ mm^3/s[/tex].
6 in
5 in
14 in
Area =
Answer:
184
Step-by-step explanation:
2*(6*5+6*14+5*14)=184
What is 79.2 divided by 2.55
A parking lot costs $1300 a month to operate, and it spends $260 each
month for every car that parks there. The parking lot charges a monthly fee of
$450 to park a car. If n is the number of cars, which equation represents the
profit function of the parking lot?
A. p= 710n+ 1300
B. p = 710n- 1300
c. p= 190n - 1300
D. p= 190n + 1300
SUBMIT
A
Answer:
[tex]p = 190n - 1300[/tex]
Step-by-step explanation:
Given
[tex]Monthly = 1300[/tex]
[tex]Expenses = 260[/tex] per car
[tex]Charges = 450[/tex] per car
Required
Determine the profit
Let the number of cars be n. So:
Express on n cars is: 260n
Charges on n cars is 450n
The profit (p) is then represented as:
[tex]p = Charges - Expenses - Monthly\ Expenses[/tex]
[tex]p = 450n - 260n - 1300[/tex]
[tex]p = 190n - 1300[/tex]
Simplify.
4a(6) + 3a
24 a2 + 3 a
13 a
27 a
27 a2
Answer:
24a + 3a
27a
we didn't multiply a since it is addition so it can not be a²
please give brainiest
Answer:
27a
Step-by-step explanation:
Just distribute. First multiply 4 times 6 which would be 24a. 24a+3a would then be 27a ;)
What is the surface area of a cube with a side length of 5? Please answer ASAP, I’m marking brainliest!!!!!
Answer:
150
Step-by-step explanation:
5x5=25
25 is the surface area of one of the sides.
25x6=150
150 is the surface area of the whole cube
5x10 but showing your work
Answer: 50
Step-by-step explanation: 5 times 10 means that there is going to be 5 10’s added together, so 10+10 = 20 + 10 + 10 = 40 + 10 = 50 so 5 times 10 is 50
What is the median of data set 32 25 25 32 32 10 -10 25
Answer:
25
Step-by-step explanation:
middle most common
Answer:
Median is 25
Step-by-step explanation:
Step 1: Organize the data from lowest to highest
-10 10 25 25 25 32 32 32
Step 2: Find the middle number
The two middle numbers would be 25 and 25, so we would take their average which is 25 obviously.
Therefore, the median of the data set is 25
A + A =2,A + B =3,A + B × 2 =??..only for geniuses
Answer: 5
Step-by-step explanation:
Which of the following is a solution to the inequality below?
5 < q/19
Answer:
q = 114
Step-by-step explanation:
q/19 > 5
q > 19 * 5 = 95
==> q = 114 works
Answer:
rrerer
Step-by-step explanation:erewqwdqwdqd noo hlp me
Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.
find the measure lol
2
Solve for x. Round answer to the nearest tenth.
11
35
to
Answer:
x ≈ 18.3°
Step-by-step explanation:
Reference angle = x
Opposite side = 11
Hypotenuse = 35
Apply SOH:
Sin x = opp/hyp
Sin x = 11/35
[tex] x = sin^{-1}(\frac{11}{35}) [/tex]
x ≈ 18.3°
A cook needs 12 pounds of flour. He wants to spend the least amount of money. If a 2-pound bag costs $1.59 and a 5-pound bag costs $2.89, how many bags of each type of flour should he buy? What will be the total cost?
Michelle's quiz grades are 73, 75, 89, and 91. What score on her fifth quiz will make her average quiz grade at least 85?
Answer:
in order to have an average of 85 on 5 tests, she needs to score a total of 85x5.
that's 425 points.
on the first 4 quizzes, she has earned 328 points.
she needs to score 97 points on the 5th quiz to average 85.
she needs to study very hard!
which diagram shows 1 and 2 as vertical angles
If you make a batch of cookies and your sister eats 10% of them, what percent remains?
Answer:
I love cookies
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
1 batch would be the same as 100%
So, 100%-10%=90%
Hope I helped you!!!!!
Find the solutions for 6x^2 -7x-20=0
Answer:
x=5/2, x=-4/3
Step-by-step explanation:
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
.hnsxasy543esx nuyAtre
A house was sold for $60,000 ten years ago. It has increase in value 55%. What is the value of the house now?
pls answer i have a ton of homework
Answer:
ewqvrdvfgbt2nbvcx
Step-by-step explanation:
Answer:
the answer is 9
Step-by-step explanation:
We need a rock garden with a perimeter of 12 feet and an area of 8 square feet
Length: Feet
Width: Feet
Answer:
Length: 4 feet
Width: 2 feet
Step-by-step explanation:
The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1
However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.
The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8
It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12
So, the length is 4 feet and the width is 2 feet
i needa big mac frfr brrrrrrrr
Answer:
ok
Step-by-step explanation:
Answer:
suppersize my fries...
4) Let a represent "x is a multiple of 3".
Let b represent "x is odd".
When x is 36, which of the following is true?
Step-by-step explanation:
When x=36, only the first statement is true (x is a multiple of 3). this is because 12×3= 36
36 is not odd, making the other statement false
Milo and Audrey sold tickets to the school concert. Milo sold 14 fewer tickets than Audrey. If Milo sold 32 tickets, how many tickets did Audrey sell?
Answer:
18
Step-by-step explanation:
32-14=18
Please Help me, what the answer
A Monte Carlo experiment is a statistical analysis that uses repetitive random sampling to solve a problem.
a. True
b. False
Answer:
True
Step-by-step explanation:
In the Monte Carlo simulations process, the probability of outcomes is determined on the basis of repeated sampling for the outcomes in a process which can not be determined easily due to several random variables involved in the process. This techniques helps in determining the risk, uncertainty in prediction and forecasting models.
The measures of two angles of a triangle are 22 and 85 degrees. Find the measure of the third angle.
Answer: [tex]73^{\circ}[/tex]
Step-by-step explanation:
Angles in a triangle add to 180 degrees.
9
On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with
the same unit rate?
А
с
101
9
10
9
8
7
7
6
5
4
b
6.
5
4
3
2
3
2
1
0
30
60
90 120 150
30
60 90 120 156
B
D
10T
9
8
10
9
6
5
Answer:
I believe the answer is C
Help plz....................
Answer:
x = 136°
y = 44°
Step-by-step explanation:
x + 44° = 180° (Adjacent angles of a parallelogram)
x = 180° - 44°
x = 136°
y = 44° (Opposite angles of a parallelogram)
what is the answer to 3/4 x 5/6
Answer:
[tex] \frac{3}{4} \times \frac{5}{6} [/tex]
[tex] \frac{3 \times 5}{4 \times 6} [/tex]
[tex] \frac{15}{24} [/tex]
[tex] \frac{5}{8} [/tex]
Answer:
5/8
Step-by-step explanation:
Sorry for the messy handwriting.
Hope this helps! Have a great day!