Answer:
120
Step-by-step explanation:
The results of a survey of 150 students about whether they
own an electronic tablet or a laptop are shown in the two-way
frequency table.
Answer:
its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)
Two way frequency table: Pairs categorical values to list frequencies
Step-by-step explanation:
For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.
Lunch Bevarage
genders Juice. Milk. Water. Total
Girl : 10 13 17 40
Boy: 15 24 21 60
Total: 25 37 38 = 100
A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.
Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)
Part B: At time t, at what rate is the height of the dough decreasing with respect to time?
Answer:
a) dA/dt = 125,42 mm/min
b) dh/dt = - 1,78 mm/min
Step-by-step explanation:
The volume of the cylinder is:
V(c) = π*r²*h ( r and h radius of the base and heigh respectively )
Then the surface area is: Area of the base : π*r²
Plus lateral area : h*2*π*r
A(c) = π*r² + 2*π*r*h
With the help of differentials we obtain:
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt (1)
In this equation and at time t we know:
r = 18 mm dr/dt = 2 mm/min h = 8 mm dh/dt = ??
dA/dt = increasing rate of the surface area ( with respect to time)
To find dh/dt we know:
V(c) is constant, then
V(c) = π*r²*h then h = V(c) / π*r²
dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴
By subtitution of V(c)
dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴
dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴
dh/dt = - [2*h* dr/dt ] / r
dh/dt = - 2*8*2 / 18 mm/min
dh/dt = - 1,78 mm/min
By subtitution in equation (1)
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt
dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )
dA/dt = 226,20 + 100,53 - 201,31
dA/dt = 125,42 mm/min
Following are solutions to the given points:
Formula:
Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]
[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]
Part A:
Calculating the circular area of the surface:
[tex]\to A=\pi r^2\\\\[/tex]
So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]
Therefore
[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]
Part B:
[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]
Learn more:
brainly.com/question/19667963
What does a cluster tell you about the data on a scatter plot?
Answer:
it all depends on where it is if it is in the middle you do not have enough information to determine if it is increasing or decreasing
Step-by-step explanation:
A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Answer parts a and b.
a. To what percent of its capacity is the large container filed?
The container is filled to % of the maximum capacity.
Answer:
The container is filled to 87.5% of the maximum capacity.
Step-by-step explanation:
Given
Maximum capacity of container = m = 64 ounces
Filled capacity=> as it is 8 less than maximum capacity = 64-8 = 56 ounces
The container is 56 ounces full.
To find the percentage:
[tex]percentage = \frac{56}{64}*100\\= 0.875*100\\=87.5\%[/tex]
Hence,
The container is filled to 87.5% of the maximum capacity.
Kensington was selling Girl Scout cookies and a customer offered her a deal. The customer would place three $1 bills, one $5 bill and one $10 bill in a bag. Kensington would reach into the bag and take one bill from the bag and get paid that instead of the $5 it would cost for one box of Girl Scout cookies. Should she take the deal? Or should she insist on getting the regular cost of $5?
Answer:
no she should take the deal
Step-by-step explanation:
there are 5 bills in that bag and only 1 of them has a chance of being over the regular price where as 3 have a chance of being under the regurla price the odds a not in the girl scouts favor as she has a 60%chance of not getting a $1 and only a 20% chance of getting the $10.
during the first week of the Season Carly averaged 27 points per basketball game then she went on a scoring streak.
Answer:
Part a: 7.5
Part B: It changes by 1.5
Step-by-step explanation:
PART A:
In the table you are suppose to find out how much it increases by so you subtract,
[tex]4.5 - 3 = 1.5[/tex]
[tex]6 - 4.5 = 1.5[/tex]
Since we know the difference is 1.5 you will add 6 by 1.5
[tex]6 + 1.5 = 7.5[/tex]
Therefore, the answer is 7.5
PART B: It changes by 1.5 because the difference between the increase in points is 1.5
Which similarly proves the two triangles are similar?
Answer:
If their angles are the same, if they are proportional, if it states so
Step-by-step explanation:
I don't see the image you sent, but just naming different things that proves how triangles are similar.
Solve 4x+34 help please
9514 1404 393
Answer:
78
Step-by-step explanation:
The base (JL) is twice the length of the midline (MN), so you have ...
4x +34 = 2(5x -16)
4x +34 = 10x -32 . . . eliminate parentheses
66 = 6x . . . . . . . . add 32-4x
11 = x
Then the length of JL is ...
4(11) +34 = 78
(16) In 2008, the number tourists visiting France was 7.94 x 1017. The
number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the
number of visitors
Answer:
3.67 × 10^7Step-by-step explanation:
Number of tourists visiting France = 7.94 × 10^7Number of tourists visiting Italy = 4.27 × 10^7The difference:
7.94 × 10^7 - 4.27 × 10^7 =(7.94 - 4.27) × 10^7 =3.67 × 10^7 more visitors in FranceEthan has saved $180 to buy a bicycle which costs $540. He wants to find how much more he needs to save to buy the bicycle
Which equation when solved would show Ethan the amount of money he needs to save?
Answer:
X = 360
Step-by-step explanation:
180 + x = 540
-180 = -180
Answer:
540-180=360
Step-by-step explanation:
Why? Because he has 180, he need 540. There is 360 in between, which is the money he needs.
Hope this is the right equation.
The range of a relation is given.
-2,-1,0,1,2
Which domain would make the relation not a function?
o 1,1,0,-1, - 1
0 -2, -1,0,1,2
O 0,-1, 2, 1,0
0 0,1,2,3,4
Answer:
0 -2, -1,0,1,2
Step-by-step explanation:
Help plz it’s 50 points help
Answer:
Step-by-step explanation:
Answer:
frist answer is right
Step-by-step explanation:
9X3 + 9 X 2 -43 X - 35
LIM w→(-4) ((sin (pie*w)) /w^2-16)
No answer needed!
Answer: yes
Step-by-step explanation:
It says to classify what does this mean I be dumb
1. What is the solution of n^2-49=0?
a.-7
b.7
c.+7
d. no solution
2.What is the solution of x^2+64=0?
a.-5
b.8
c.+8
d.no solution
3.What is the side length of a square with an area of 144x^2?
a.12
b.12x
c.+12x
d.no solution
4.What is the value of z so that -9 and 9 are both solutions of x^2+z=103?
a.-22
b.3
c.22
d.184
Answer:
it would be d for #1 because it has no solution for the question
Which situation represents a proportional relationship?
А.
The cost of purchasing t-shirts for $5.80 each.
B
The cost of purchasing belts for $11.00 each with a delivery charge of $3.50.
С.
The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box.
D
The cost of purchasing pants for $21.50 each with a coupon for $3.25 off the total cost.
Answer:
С.
Step-by-step explanation:
From the options provided the only one that represents a proportional relationship was The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box. This is because the total cost of the boxes depends on the number of socks that are bought since every pair of socks that are bought comes with a box which causes the total costs of the boxes to increase. Therefore, the number of sock pairs and the number of boxes has a proportional relationship.
Pleaseee Helppppp
Find the minimum value of the function f(x) = x2 + 12x + 31.5 to the
nearest hundredth.
Answer:
The answer is pie
Step-by-step explanation:
I know best
Answer:
x = -6.00 (rounded to nearest hundredth)
Step-by-step explanation:
for a quadratic equation, [tex]h(x)=ax^2+bx+c[/tex] we have [tex]f(x)=x^2+12x+31.5[/tex] a = 1 b = 12 to find minimum use equation [tex]x=\frac{-b}{2a}[/tex] [tex]x=\frac{-b}{2a}\\x=\frac{-(12)}{2(1)}\\x=\frac{-12}{2}=-6[/tex]3 inches
1.5 inches
1.5 inches
Answer:
6 inches
Step-by-step explanation:
C(x) = 5x^2 + x + 7 and
d(x) = x^2 – 10
d(c(3))
Answer:
d(c(3))=30I5
Step-by-step explanation:
C(3)=5×9+3 +7=55
d(c(3))= ( 55)^2-10= 3O 15
please help
Solve |6k + 12| + 9 = 9 for k
Answer:
k = -1/2
Step-by-step explanation:
|6k + 12| + 9 =9
6k + 12 = 9-9
6k + 12 = 0
6k = -12
k = -1/2
3n+14=-4 =?
Please do this this right (my grade depends on it)
Answer:
Step-by-step explanation:
-6
The equation (x – 5)2 = –2(y + 1) represents a parabola. Complete the statements describing the graph.
The vertex is
(5,1)
(5,-1)
(-5,1)
(-5,-1)
The graph opens
up
left
right
down
Answer:
(5,-1)
Step-by-step explanation:
TAKE ONE SIDE
(X-5)2=0
2X-10= 0
2X=10
X=10/2
X=5
THEN TAKE OTHE SIDE
-2(y+1) =0
-2y-2=0
-2y=2
y=2/-2
y=-1
So the answer is (5,-1)
And it should be in right down
(-5,1) , the graph opens down
What is an equation?
'An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.'
.Given equation: 2(x-5) = -2(y+1)
Evaluating left-hand side,
⇒ (x-5)2 = 0
⇒2x-10 = 0
⇒2x = 10
⇒x =10/2
⇒x = 5
Evaluating RHS,
⇒-2(y+1) = 0
⇒-2y-2 = 0
⇒-2y = 2
⇒y = 2/-2
⇒y = -1
Hence, we can conclude the vertex is at (-5,1) and the graph opens down.
Learn more about graphs here: https://brainly.com/question/4074088
#SPJ2
Where is most of Earth’s fresh water found?
in the ground
near the poles
in lakes and streams
in the air as water vapor
Answer:
B: near the poles
Step-by-step explanation:
got it right on edge 2020
Answer:
near the poles
Step-by-step explanation:
trust me I know
how 2 explain this?
Thanksss.
Explanation: I would substitute 2 into x which would be y = 2(2) + 3. I would then multiply 2 and 2 which would give me 4 and then add 3 which I get 7. This means that (2,5) is not a solution to the equation.
someone help me with this
Answer:
-30 is the right one if u need help tell me ;)-
Step-by-step explanation:
:)
4 × 22 + 16 ÷ 4 - (4.9 + 5.5)
Answer:
81.6
Step-by-step explanation:
4 × 22 + 16 ÷ 4 - (4.9 + 5.5)
88 + 4 - (10.4)
81.6
The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?
Answer:
If the two numbers are x and y, then:
x + y = 8
18 - 2x = 4y - 2.
When we subtract y from both sides in our first equation we get:
x = 8 - y, so:
18 - 2(8 - y) = 4y - 2
18 - 16 + 2y = 4y - 2
2 + 2y = 4y - 2
2y = 4
y = 2
Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.
What is the value of the expression when a = 5, b = 4 , and c = 6?
4a/2b−c
2
5
9
10
Step-by-step explanation:
9 +6=15-6=9
so your answer should be 9
mark me brainliest lol
Answer:
now you can say as brainliest to other person :)
Two oranges and five lemons cost $2.95. Three oranges and two lemons cost $2.50. How
much would five oranges and three lemons cost?
Answer:
40 p
Step-by-step explanation:
2.50 plus 40 equal 2.90 and that is how u get ur answer
how to give points
nsdfjfjrs d,nvcnjsd
Answer: answer questions
Step-by-step explanation:
Answer:
tyyyy hope you have a good holiday !!!!!!!
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