Here's the solution :
In a sphere,
[tex] \boxed{ \mathsf{surface \: \: area = 4\pi {r}^{2} }}[/tex]
now, let's solve :
[tex]s = 4 \times \pi \times 5 \times 5[/tex][tex]s = 100\pi[/tex]hence, correct answer is B. 100π unit²
The surface area of the sphere is 100 π unit².
The correct option is B.
What is Surface area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.
We have,
Radius of Sphere= 5 unit
Now, the formula for Surface area of Sphere is
= 4πr²
= 4 (3.14) (5)(5)
= 4 x 3.14 x 25
= 314
= 10 π unit²
Thus, the Surface area is 10 π unit².
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A recent survey showed that 23.3 million adults have cut the cord on cable TV services, a 30% increase fron the previous year. If this trend continues, how many millions if adults can be expected to cut the cord next year?
Answer:
30,290,000 people
Step-by-step explanation:
The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000
23,300,000/100 = 233,000 = 1%
233,000 x 30 = 6,990,000
23,300,000 = 6,990,000 = 30,290,000
Which is larger?Helppp
Plz help 27 pt this is getting graded plz plz Plz
Answer:
517.2
Step-by-step explanation:
It has sides you're not seeing so don't forget those.
You need to find the area of the front, back, two sides, and bottom
Front & back:
6*5.2* 1/2
31.2/2 = 15.6 for each
Sides:
27*6 = 162 each
Bottom:
6*27 = 162
162+162+162+15.6+15.6= final answer
Answer: B
Step-by-step explanation:
First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2
out of 20 consecuative whole number two are chsen at random.then the probability that ther?
Answer:
2/20
Step-by-step explanation:
since,there are 20 whole number and if u put 2 random number the,
probability(P)=favorable outcome/possible outcome
so p=2/20
Thank You
An automobile passes a point PP at a speed of 84 mph. At PP it begins to decelerate at a rate proportional to time. If after 6.3 sec the car has slowed to 45 mph, what distance has it traveled in ft
Answer:
Distance in ft = 597.57 feet
Step-by-step explanation:
As per the
First equation of motion
84 mph = 37.5514 m/s
45 mph = 20.1168 m/s
v-u = a* t
Substituting the given values, we get -
37.5514 m/s - 20.1168 m/s = a * 6.3
a = 2.76 m/s^2
Now as per Newton's third law of motion
v^2-u^2 = 2 *a*S
Substituting the given values, we get -
37.5514^2 - 20.1168^2 = 2 * 2.76 m/s^2 * S
S = 182.142 Meters
Distance in ft = 597.57 feet
what does proportion mean in algebra when dealing with graphs
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.
HELP ME PLWASE I WILL GIVE ALL POINTS.
What value of x makes this equation true?
0.6x + 7 = 0.1x -8
Answer:
-30
Step-by-step explanation:
0.6x+7=0.1x-8
0.6x-0.1x=-8-7
0.5x=-15
x=-15/0.5
x=-30
Directions: Solve for the surface area of the following figures using the formula.
no links pls. i really need it T-T
Answer:
3^3 x 3.14
9 x 3.14 = 28.26
28.26 x 2 = 56.52
2 x 3.14 x 3 = 18.84
18.84 x 10 = 188.4
Now lets add all given areas:
56.52 + 188.4 = 244.92 m^2 for question 1
4 x 3.14 x 12^2
4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2
14^2 x 3.14
196 x 3.14 = 615.44
3.14 x 14 x 33 = 1450.68
1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think
Find the height of a rectangular pyramid with a length of 15.8 meters, a width of 9.2 meters, and a volume of 1235.56 cubic meters
What is the measurement of angle a
HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.
Answer:
Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.
Answer:
here now you can give her brainliest
Step-by-step explanation:
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
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:
Which elements present the whole? a. percentage b. base c. rate d. both a and b
1. Base presents the whole number
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Please help with my hw I cannot figure this out
Answer:
K 1 k'1
J2 j'5
L,0 l'5
Step-by-step explanation:
The window has the shape of a kite. How many square meters of glass were used to make the window?
Answer:
1568cm²
Step-by-step explanation:
28cm + 28cm = 56cm
35cm + 21cm = 56cm
56 × 56 = 3136cm²
3136cm² ÷ 2 = 1568cm²
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)
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
There were 35 children and 10 adults at a cookout. What is the ratio of adults to children at the cookout?
Answer:
2:7
Step-by-step explanation:
10:35 can also be written as 2:7
Thenks and mark me brainliest :))
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!
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
Find the measure of the exterior angle.
Answer:
u = 143º
Step-by-step explanation:
Sum of angles in a triangle is 180
The unknown angle IN the triangle
x + 90 + 53 = 180
x + 143 = 180
x = 37º
x and u are supplementary angle which total 180
u + 37 = 180
u = 143º
Wavelength and Frequency
A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:
C - 262 Hz
E - 330 Hz
G - 392 Hz
Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8
Please select the best answer from choices provided
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
The ratio of the frequency of G to C is 1.5. So, option b is correct.
What is meant by frequency ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of note G, f(G) = 392 Hz
The frequency of note C, f(C) = 262 Hz
The ratio of the frequency of G to C, r = frequency of G/frequency of C
r = f(G)/f(C)
r = 392/262
r = 1.496 approximately r = 1.5
Hence,
The ratio of the frequency of G to C is 1.5
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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:
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]
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.
Can someone help me or explain how to find the missing value from the simple interest?
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]
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.