Answer:
Step-by-step explanation:
S=4πr²
ds/dt=4π×2r×dr/dt=8πr dr/dt
dr/dt=60 cm/min
ds/dt=8π×60r=480πr
r=16,t=0
at t=2,r=16+32=48 cm
so ds/dt=480π×48=23040 πcm²≈72382.79 cm²
2.
[tex]V=\frac{1}{3} \pi r^2*h\\\frac{r}{h} =\frac{2}{3} \\r=\frac{2}{3} h\\V=\frac{1}{3} \pi( \frac{2}{3} *h)^2h\\V=\frac{4}{27} \pi h^3\\\frac{dV}{dt} =\frac{4}{27}\pi *3h^2\frac{dh}{dt} \\\\when ~h=1.8 ~m,\frac{dh}{dt} =2.1~m/min\\\frac{dV}{dt} =\frac{4}{9}\pi h^2\frac{dh}{dt} =\frac{4}{9} \pi*(1.8)^2*2.1=27.216 \pi \approx 85.502 m^3[/tex]
The planning department of Abstract Office Supplies has been asked to determine whether the
company should introduce a new computer desk next year. The department estimates that $8,000
of new manufacturing equipment will need to be purchased and that the cost of constructing each
desk will be $200. The department also estimates that the revenue from each desk will be $600.
a. Determine the revenue function R(x) from the sale of x desks. R(x) =
Austin walks 1/3 of the way to school and stopped to rest. Devyn walks 2/6 of the way to the school and stops to rest who traveled further
Answer:
Austin and Devyn.
Step-by-step explanation:
1/3 and 2/6 are equal fractions.
What is 24 divided by 849, be sure to show your work.
Answer:
0.02826855123 or 35.37
Step-by-step explanation:
24/849 = 0.02826855123
849/24 = 35.37
Explain your answer !!
Have a nice day
Will give braisnlt
Answer:
The price of hot dog is $2.5 and that of a pretzel is $1.25.
Step-by-step explanation:
Let the cost of hotdogs be x and that of pretzels be x.
So,
4x+3y = 13.75 ...(1)
and
2x+5y = 11.25 ...(2)
Multiply equation (2) by 2.
4x+10y = 22.5 ...(3)
Subtract equation (1) from (3).
4x+10y-(4x+3y) = 22.5-13.75
4x+10y-4x-3y = 8.75
7y = 8.75
y = 1.25
Put the value of y in equation (1).
4x+3(1.25) = 13.75
4x+3.75 = 13.75
4x = 13.75-3.75
4x = 10
x = 2.5
So, the price of hot dog is $2.5 and that of a pretzel is $1.25.
Each month, a shopkeeper spends 5x+17 dollars on rent and electricity. If she spends 3x-4 dollars on rent how much does she spend on electricity?
Answer:
2x-13
Step-by-step explanation:
5x-3x=2x
17-4=13
find x. :( i’ll mark brainlist and give thanks !
Answer:
tan15=x/300
0.267=x/300
0.267×300=x
x=80.01=80(approx)
find the image of ( 1 , 2 ) after a reflection about y = x followed by a reflection about y = - x
PLS ONLY ANSWER IF YOU KNOW THE ANSWER.
Answer:
(-1,-2)
Step-by-step explanation:
Think of the line y=x as a mirror. The image of the point (1,2) is obtained by drawing a line through (1,2) perpendicular to the line y=x and finding the point on the perpendicular line that is equal distance from the line y=x but on the other side. This gets you to the point (2,1).
Similarly, from (2,1) find the mirror image using the line y=-x as the mirror. You travel diagonally 1.5 diagonal squares to reach y=-x and then continue another 1.5 diagonals to reach (-1,-2) which is your answer.
Bob Businessman offers credit at 20% interest per year. Can somebody help calculate the APR? I'm having trouble with the formula and get a different answer everytime
Answer:22.9
Step-by-step explanation:
Answer: 22.9
Step-by-step explanation: i checked it is correct
- Rachel has some apples and bananas.
The ratio of apples to bananas is 2:3
She has 14 apples.
Work out how many bananas Rachel has
Base your answer on Ali opened a savings account with $100. He saves $25 per month.
Solve an inequality to find the least number of months it will take Ali to have $700.
Answer:
24
Step-by-step explanation:
700- 100 = 600 divided by 25 = 24
Dale has set up his own business. He now needs funds to buy a new machine to cater to those consumers whose needs could not be met earlier due to lack of infrastructure and funds. Which stage is his business in?
A.
seed stage
B.
growth stage
C.
maturity stage
D.
decline stage
The correct answer is growth stage
Answer:
The answer is B
Step-by-step explanation:
The preceding two stages are development stage and startup stage. In growth stage one should first focus on fine tuning the business model and by finding ways for operational inefficiencies. Dale has actually already identified the inefficiency which is new machines and non being able to cater to some customers due to lack of machines. In this exact stage businessman try to grow the business by analyzing the main profit drivers and the finding ways to grow the profit driver with less cost
Multiply. Write your answer as a fraction or as a whole or mixed number.
Pls help and explain
Answer:
6
Step-by-step explanation:
So you want to round both denomaters to what they can mutiply to so it will be 6 so the 4 1/2 will be 4 3/6 and the 2 2/3 will be 2 4/6. Then you multiply to get 6
Together teammates Pedro and Ricky got 2671 base hits last season Pedro had 275 more hits Ricky hits did each player have
What is the fraction for 9 copies of 1/12
Answer:
9 x 1/12 = 4 1/2
Enter the value of 3.4. (6 + 12).
Answer:
cool
Step-by-step explanation:
add the (6+12) and than multiply what you get by 3.4. you will get the answer
The value of the expression is 216.
What is a mathematical expression?
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Quantities (operands), factors, operations, operations, braces, grammar, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features. In algebra, a value may be designated by an expression; this value may rely on the values given to the variables that the expression contains. The semantics associated with the symbols in the expression determine this value. The expression's context determines which semantics to use. Depending on the suggested sequence of operations by the context, the identical syntactic statement 1 + 2 3 might have multiple values (mathematically 7, but also 9).
The given expression is 3.4.(6+12)
And it can be solved as
3.4.(6+12) = 12.18 = 216
Hence, the value of the above expression is 216.
To know more about expressions, click on the link
https://brainly.com/question/18189573
#SPJ2
Use the diagram below to find x and each missing angle
3. The Mathville Zoo only has tigers and
ostriches. The zoo keeper says they have 22
animals and the animals have a total of 70 feet.
Find the number of each kind of animal?
9514 1404 393
Answer:
13 tigers9 ostrichesStep-by-step explanation:
Let t represent the number of tigers. Then the number of feet is ...
4t +2(22 -t) = 70
2t = 26 . . . . . . . . . subtract 44, collect terms
t = 13 . . . . . . . divide by 2; number of tigers
22 -t = 9 . . . . number of ostriches
The zoo has 13 tigers and 9 ostriches.
Skyler getting a delivery from Chick-fil-A they charge $3 delivery fee plus $0.25 per mile write an equation to find the total cost y for a delivery that is X miles away
Answer:
y = 3 + 0.25x
Step-by-step explanation:
x represents the miles and if Skyler is charged $0.25 per mile, then x goes with the 0.25. The $3 is a flat fee and doesn't get added any more times then when it is first added.
A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli with mean weight of 15.26 grams and standard deviation of 2.56 grams. The margin of error (ME) to construct a 99% confidence interval for the true mean amount of cheese filling is
A) 2.064 B) 1.432 C) 3.745 D) 1.276 E) 1.797
b. A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli and measure the weight of cheese filling. They find the 99% confidence interval of 14.16 to 15.84 grams. Which of the following is the correct interpretation?
I. We are 99% confident that the mean weight of cheese filling in all ravioli made by this process is between 14.16 and 15.84 grams.
II. 99% of all ravioli made by this process will have cheese filling weights between 14.16 and 15.84 grams.
III.We are 99% confident that the interval (14.16, 15.84) contains the mean weight of cheese filling in all ravioli made by this process.
IV. The weight of cheese filling in the ravioli is between 14.16 and 15.84 grams 99% of the time.
A) I only
B) III only
C)I and III.
D) II and III
E) I and IV
Answer: a. B) 1.432
b. E) I and IV
Step-by-step explanation:
a. Margin of error to construct a 99% confidence interval is calculated as
[tex]ME=t.\frac{s}{\sqrt{n}}[/tex]
where
t is the critical value expressed as t-score, which comes from t-distribution;
s is sample standard deviation
n is sample size
In this case, a t-score is used because the population standard deviation is unknown and the sample size is small, n < 30.
The way to find t-score is:
1) Define the degree of freedom, which is sample size minus 1: df = n - 1;
2) Compute alpha: [tex]\alpha=1-\frac{confidence}{100}[/tex];
3) Find the critical probability: [tex]p=1-\frac{\alpha}{2}[/tex]
With the df and critical probability, consulte the t-distribution table and find the score.
For the cheese filling:
df = 24
p = 0.995
t-score = 2.797
Calculating margin of error:
[tex]ME=2.797.\frac{2.56}{\sqrt{5}}[/tex]
ME = 1.432
The margin of error to construct a 99% confidence interval for the true mean amount of cheese filling is 1.432.
b. Confidence interval is an interval in which we have a percentage of certainty that the true population mean is. For example, with a 99% confidence interval of 14.16 to 15.84 grams, we are 99% confident that the true mean weight of cheese filling is between those numbers or that the weight of cheese filling is between 14.16 and 15.84 grams 99% of the time.
solve the equation to find x. 2 Area 285 cm 15 cm
Answer:
I think your question is not complete..
can you write the question in a way which will determine in what way you want your answer..
i mean from what to find x..
Area is given as 285cm
what is 15 cm for?
from here where is x given to find?
Thank you all for helping me with every thing! I also need help with this one :)
Answer:
1.5/6
2.1/6
Step-by-step explanation:
Answer:
[tex]\frac{5}{6}[/tex] and [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
It takes 43 facial muscles to frown. This is 26 more muscles
than it takes to smile. How many muscles does it take to
smile?
Answer:
17
Step-by-step explanation:
43 - 26 = 17
Answer:
43 - 26 = 17 muscles
Evaluate (14 + x) = 2 when x = 4. A. 7 O B. 18 C. 11 D. 9
Answer:
14+4=18 have a good day Ahead
Two parallel lines are cut by a transversal. Find the value of x
Answer:
x = 18
Step-by-step explanation:
you set the 2 equations equal to eachother
you minus x on both sides to get x on one side
than find the answer
I need help on this question
Answer:
a = 62.5
b = 40
c =62.5
d = 70
Robert painted 4/8 of each tile with green paint. He painted 52 tiles. What is the total amount of tiles that he painted green?
Please show an explanation to solve this problem. Thank you.
Answer:
The answer is 26
Step-by-step explanation:
All we do is multiply 4/8 by 52.
52 = 52/1
52/1 * 4/8 = 208/8
208/8 = 26
So the answer is 26.
Hope this helps! :)
11, 14, 17, ...
Find the 42nd term.
Answer:
Step-by-step explanation:
5
,
8
,
11
,
14
,
17
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
3
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
3
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
5
and
d
=
3
.
a
n
=
5
+
(
3
)
(
n
−
1
)
Simplify each term.
Please help! I will mark brainliest!
Which two polynomials have a sum of 4x−6? (1 point)
A. (−4x^2+x−3) and (−4x^2+3x+3)
B. (−4x^2+x−3) and (4x^2+3x−3)
C. (−4x^2+x−3) and (4x^2+3x+3)
D. (−4x^2+x−3) and (4x^2−5x−3)
Answer:
B
Step-by-step explanation:
Please help need answer!
Answer: About 513 feet
A more accurate value is roughly 512.575960394824
==============================================================
Explanation:
With many trig problems, a diagram should help steer you in the right direction. See below.
The red angle is the angle of depression. It's formed by starting off looking straight horizontal, then we look down 26 degrees. The blue angle adds to the red angle to get 90, so we can see that 26+64 = 90. Or you could say 90-26 = 64.
The goal is to find the value of x, which is the length from B (the lighthouse base) to point C (the ship's location).
The lighthouse is 250 ft tall, meaning AB = 250
We'll use angle BAC, or angle A for short, as the reference angle. This is the blue angle in the diagram.
We have a known adjacent side (AB = 250) and an unknown opposite side (BC = x). We use a tangent ratio to tie these sides together with the reference angle in question. This way we can solve for x.
-------------------
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(64) = x/250
250*tan(64) = x
x = 250*tan(64)
x = 512.575960394824
x = 513
The distance from B to C is roughly 513 feet.
I'm rounding to the nearest whole number because the other values given to you are whole numbers.
pablos pizza makes a profit of $495 each day for 12 days, what is the profit for the 12 days
Answer:
5940
Step-by-step explanation:
495 x 12 = 5940