What is the name for the total area of the surface of a solid?prism area net area surface area facial area
Answer:
Surface Area
Step-by-step explanation:
You are calculating the measurements for the surface of the prism. The interior is volume.
Answer:
Surface Area
Step-by-step explanation:
A large tank is filled to capacity with 700 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 7 gal/min. The well-mixed solution is pumped out at a rate of 14 gallons/min. Find the number A(t) of pounds of salt in the tank at time t.
Answer:
[tex]A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]
Step-by-step explanation:
The net mass flow rate dA/dt = mass flow rate in - mass flow rate out
mass flow rate in = concentration of brine in × brine flow rate in = 4 lb/gal × 7 gal/min = 28 lb/min
Let A(t) be the amount of salt at time t. The concentration of salt in the tank at time, thus C = amount of salt/volume of tank = A(t)/700 lb/gal.
Since the well mixed solution is pumped out at a rate of 14 gal/min, the mass flow rate out = concentration of salt in tank × volume flow rate out = A(t)/700 lb/gal × 14 gal/min = m(t)/50 lb/min
So, dA/dt = mass flow rate in - mass flow rate out
dA/dt = 28 lb/min - A(t)/50 lb/min
dA/dt = 28 - A(t)/50
dA/dt = [1400 - A(t)]/50
separating the variables, we have
dA/[1400 - A(t)] = dt/50
integrating both sides, we have
∫dA/[1400 - A(t)] = ∫dt/50
-1/-1 × ∫dA/[1400 - A(t)] = ∫dt/50
1/-1 × ∫-dA/[1400 - A(t)] = ∫dt/50
-1 × ㏑[1400 - A(t)] = t/50 + C
-㏑[1400 - A(t)] = t/50 + C
㏑[1400 - A(t)] = -t/50 - C
taking exponents of both sides, we have
[tex]1400 - A(t) = e^{\frac{-t}{50} - C} \\1400 - A(t) = e^{\frac{-t}{50}}e^{-C}\\1400 - A(t) = Be^{\frac{-t}{50}} ( B = e^{-C}) \\A(t) = 1400 - Be^{\frac{-t}{50}}[/tex]
when t = 0, A(0) = 0. So,
[tex]A(t) = 1400 - Be^{\frac{-t}{50}}\\A(0) = 1400 - Be^{\frac{-0}{50}}\\0 = 1400 - Be^{0}\\0 = 1400 - B\\B = 1400[/tex]
So,
[tex]A(t) = 1400 - 1400e^{\frac{-t}{50}}\\A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]
In the equation »+2, 2y2-y+3
y-2
the value of a is:
y+1' 32-1
y-1
02
01
04
Answer:
jajaja que no te he buscado en mi hija pero si
What is the measurement of angle a
WILL MARK BRAINLIEST PLS HELP
Answer:
64
Step-by-step explanation:
A square has 4 equal sides so all you have to do is divide 4 by 256. 256/4 is equal to 64. Therefore, the answer is 64 paving stones.
If this has helped please mark as brainliest
Coach Dom took the football team out for pizza. He bought 6 pies at $6.35 each. He left a 18 % tip. How much did Coach Dom spend in all?
Answer: $44.96
Step-by-step explanation:
6 × 6.35 = 38.1
38.1 × .18 = 6.86
38.1 + 6.86 = 44.96
Which is larger?Helppp
Find the area of a circle with a radius of 21 inches.
Answer:
A≈1385.44in²
Step-by-step explanation:
A=πr2=π·212≈1385.44236in²
Answer:
1384.74 inches.
Step-by-step explanation:
The formula for area of a circle is:
[tex]a=\pi *r^2(3.14*radius*radius)[/tex]
[tex]\pi =3.14, r=radius.[/tex]
According to the word problem, the radius of the circle is 21 inches.
Now, we can just plug the numbers into the formula.
[tex]\pi *21^2(3.14*21*21)=1384.74[/tex]
Therefore, the area of the circle is 1384.74 inches.
Which two triangles are congruent? Complete the congruence statement.
Answer:
ΔSTU ≅ ΔBDC
Step-by-step explanation:
In ΔSTU and ΔBDC,
∠S ≅ ∠B [Given]
∠T ≅ ∠D [Given]
SU ≅ BC [Given]
Since, two corresponding angles and non included side of the angles are equal in measure.
Therefore, ΔSTU ≅ ΔBDC [By AAS property of congruence]
Find the measure of the angles
Step-by-step explanation:
Make sure the bottom line of the angle points to 0. Then slowly go up until the other line hits a number. In this case, it's 40 degrees
I need the answer. Please help.
Answer:
300°
Step-by-step explanation:
To convert from radians to degrees
degree = radian × [tex]\frac{180}{\pi }[/tex] , then
degree = [tex]\frac{5\pi }{3}[/tex] × [tex]\frac{180}{\pi }[/tex] ( cancel π on numerator/ denominator )
= [tex]\frac{5(180)}{3}[/tex]
= 5 × 60°
= 300°
PLEASE HELP WITH THE PROBLEM ON THE ATTACHED FILE
Step-by-step explanation:
First u have to do the work of bracket and the solve
7. A particular compound decays according to the equation y = ae-0.0736t, where tis in days. Find the
half-life of this compound.
a. about 9.1 days b. about 9.4 days
c. about 6.8 days d. about 7.4 days
Answer:
b. about 9.4 days
Step-by-step explanation:
Amount of the compound:
The amount of the compound after t days is given by the following equation:
[tex]y(t) = ae^{-0.0736t}[/tex]
The initial amount is:
[tex]y(0) = a[/tex]
Half-life:
t for which [tex]y(t) = 0.5a[/tex]. So
[tex]y(t) = ae^{-0.0736t}[/tex]
[tex]0.5a = ae^{-0.0736t}[/tex]
[tex]e^{-0.0736t} = 0.5[/tex]
[tex]\ln{e^{-0.0736t}} = \ln{0.5}[/tex]
[tex]-0.0736t = \ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.0736}[/tex]
[tex]t = 9.42[/tex]
So about 9.4 days, and the answer is given by option b.
HELP HELP HELP HELP PLZZZZZZZ
Answer:
Step-by-step explanation:
So, lets just go by segment to segment, using the process of elimination to see which graph is correct.
So the first segment of all the graphs is 18-19.9.
Lets look at the numbers given to us, and see how many times values between these two numbers occur. I see 19.9 and 18.6. This is two values.
This eliminates answer C, which has three values(a frequency of 3).
All the others have 2 values however, so lets keep going.
Next we have 20-21.9. I see 9 values that are in between 20-21.9:
20.7, 21.2, 20.5, 20.4, 21.6, 21.4, 21.5, 21.5, 21.9
Both B and D have graphs with 9 values that are between 2-21.9, however A only has 8 values.
Now lets look at 22-23.9. I see 8 values between 22-23.9:
22.2, 22.7, 22.1, 23.1, 23.8, 22.6, 23.9, 23.4
This eliminates D, which only has 7 values, but B does have 8 values.
So this means that B is the answer!
Hope this helps!
three hundred forty seven and three hundred ninety two thousandths in standard form
Answer:
347,392
Step-by-step explanation:
yes
Three friends went to a fundraiser at a local restaurant. Each plate cost $7.95, which included a drink. A tip of 20% was left for the waitress. How much was the total cost of the meals including tip?
A.$23.85
B. $24.05
C. $28.62
D. $29.65
Answer:
C. $28.62
Step-by-step explanation:
3 · $7.95 = $23.85
[tex]\frac{y}{23.85} :\frac{20}{100}[/tex]
y · 100 = 20 · 23.85
100y = 477
100y ÷ 100 = 477 ÷ 100
y = $4.77
$23.85 + $4.77
$28.62
maeve painted 25% of the wall. jonathan painted 1.5 times as much as the wall maeve painted. what fraction of the entire wall did maeve and jonathan paint
Answer:
37.5x
Step-by-step explanation:
Can someone help me rnnn please??
Answer:
(-6,2)
Step-by-step explanation:
when it asks for the scale factor all you do is take your coordinates and multiply it by whatever the question gives you. Like in this question you would multiply -3 and 1 by 2 and whatever the number comes out to be then thats your answers.
Sorry if the explanation isnt very good!
what does it mean if your gf constantly sends you pics of her she keeps sending pics to me
Answer:
She probably wants attention from you maybe compliment her outfit or something like that.
Solve for the value of
b
b.
(3b+2)°
(7b-2)
Step-by-step explanation:
here is the answer click the photo
Which of the following graphs represents this inequality?
15\le7n-2\left(n-10\right)<3515≤7n−2(n−10)<35
Answer:
Step-by-step explanation:
{3x+y=7{-2x+y=-3 please
Answer:
x=[tex]\frac{4}{5}[/tex]
y=[tex]\frac{23}{5}[/tex]
Step-by-step explanation:
Look at the pictures!
HELLO CAN SOMEONE HELP ME IM FAILING MATH NO FAKE ANSWERS PLS TY :)
Answer:
Area of rectangle = 10 units²
Area of triangle = 10 units²
Area of figure = 20 units²
Step-by-step explanation:
Which of the following operations could you perform on both sides of the
given equation to solve it? Check all that apply.
9x+ 5 = 5x + 21
O A. subtract 16
B. divide by 9
O C. divide by 4
D. subtract 5
O
E. divide by 3
F. subtract 5x
No
Answer:
C, D and F
Step-by-step explanation:
Procedure:
9x+5=5x+21
4x+5=21 (subtract 5x)
4x=16 (subtract 5)
x=4 (divided by 4)
PLS HELP!! need the answer asap
Answer:
8
Step-by-step explanation:
[tex]\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180[/tex]
[tex]3x + 12 + 7x + 88 = 180[/tex]
[tex]10x + 100 = 180[/tex]
[tex]10x = 80[/tex]
[tex]x = 8[/tex]
Seventeen percent of U.S. residents are in their thirties. Consider a group of nine U.S. residents selected at random. Find the probability that three or four of the people in the group are in their thirties.
Answer:
0.1764
Step-by-step explanation:
This problem meets requirement that enables us to use the binomial probability relation :
Probability of success, p = 17% = 0.17
number of trials = 9
(1 - p) = 1 - 0.17 = 0.83
The binomial probability relation :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 9C3 * 0.17^3 * 0.83^6
P(x = 3) = 84 * 0.001606258054361897
P(x = 3) = 0.134925676566399348
P(x = 3) = 0.13492
P(x = 4) = 9C4 * 0.17^4 * 0.83^5
P(x = 4) = 126 * 0.000328992613544003
P(x = 4) = 0.041453069306544378
P(x = 4) = 0.04145
P(x = 3 or x = 4) = P(x = 3) + p(x = 4)
= 0.13492 + 0.04145
= 0.17637
= 0.1764
the graph of a function is shown below
Answer:
B. In Section P, the function is linear and increasing.
Step-by-step explanation:
Answer:
B. In Section P, the function is linear and increasing.
in the figure below, two lines intersect, forming four angles. Write your answer in the space provided.
a =
b=
C=
Answer:
Step-by-step explanation:
Angle A and 50 will combined have an angle of 180
Angle A = 180-50
Angle C is opposite of angle A and both will be equal. Same with Angle B and it's opposing Angle.
You got this!
State if the two triangles are congruent. If they are state how you know.
Answer:
ASA
Step-by-step explanation:
They are congruent by the ASA congruency.
Is it possible to find two data sets A and B such that A has a greater median and mode, while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.
Answer:
For a data set of N elements:
{x₁, x₂, ..., xₙ}
The median is the middle value (or the average of the two middle values)
The average or mean is:
[tex]m = \frac{x_1 + ... + x_n}{N}[/tex]
The mode is the value that is more repeated.
The range is the difference between the largest value and the smallest value.
Now, let's try to construct two sets A and B that meet the required conditions:
Let's suppose two sets of 5 values each:
A = {2, 2, 3, 4, 5}
The median of A is 3.
The range of A is = 5 - 2 = 3
The average of A is: (2 + 2 +3 +4 +5)/5 = 16/5
And the value "2" appears two times, so the mode is 2.
Now, let's try to find a data set B such that:
The mode is smaller than 2 (so for example, we can have a "1" that repeats two times)
The median is smaller than 3 (let's have a median equal to 2)
The average is larger than 16/5
The range is larger than 3
This is ratter simple:
B = {1, 1, 2, 6, 9}
The median of B is 2.
The mode of B is 1
The range of B is: 9 - 1 = 8
The average of B is: (1 + 1 + 2 + 6 + 9)/5 = 19/5
So, we just found an example for two data sets A and B such that A has a greater median and mode, while B has a greater average and range.
So the answer is yes, it is possible.