A hemispherical tank is filled with water and has a diameter of 22 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?
Answer:
just do the exam
Step-by-step explanation:
Answer:
173,949 lb
Step-by-step explanation:
Volume of a sphere:
[tex] V_{sphere} = \dfrac{4}{3}\pi r^3 [/tex]
A hemisphere is half of a sphere, so its volume is half of the volume of a sphere with the same diameter. Also, radius = diameter/2.
[tex] V_{hemisphere} = \dfrac{2}{3}\pi (\dfrac{d}{2})^3 [/tex]
[tex] V_{hemisphere} = \dfrac{2}{3} \times 3.14159 \times (\dfrac{22~ft}{2})^3 [/tex]
[tex] V_{hemisphere} = 2787.639~ft^3 [/tex]
Now we use the density of water to find the weight of the water contained in the tank.
weight = volume * density
weight = 2787.639 ft^3 * 62.4 lb/ft^3
weight = 173,949 lb
PLEASE HELP WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!! Which of the following could be factored by grouping?
a: ab+ad-ac+ae
b: ac+ad+bc-bd
c: ac+ad+bc+bd
d ab+cd-ab+cd
Answer:
B
Step-by-step explanation:
Please make me branlist
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Factorization by grouping means grouping the terms with common factors before factoring.
Given the equation:
ac + ad + bc + bd
Factorizing by grouping:
= a(c + d) + b(c + d)
= (a + b)(c + d)
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
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There are 80 students in a 8th grade, 20% are boys. How many boys are in 8th
grade?
Answer:
16 boys
Step-by-step explanation:
Lets go with easy example:
20% of 100 students means 20 students: what is done there
We converted 20% to 20/100 so[tex]\frac{20}{100}*100=20[/tex]
Lets do the same with 80 students as well
[tex]\frac{20}{100}*80=16[/tex]
Answer:
16
Step-by-step explanation:
[tex]\frac{20}{100} x \frac{x}{80} =16[/tex]
or do
80 x 0.20=16
both works
HELP ASAP i dont know how to do any of this
Answer:
Step-by-step explanation:
Circumference is= to diameter * Pi
[tex]6\pi = 6*3.14=18.84\\15\pi=15*3.14=47.1[/tex]
For the ones that are radius, double it, then pi
[tex]21*2\pi = 42\pi =42*3.14=131.88\\6.7*2\pi=13.4\pi =13.4*3.14=47.076[/tex]
How to Simplify (7^6)^2
Answer:
Well, since your question is asking how to simplify and not the actual answer itself, all we have to do is first simplify 7^6=117,649. Now we just take that number and make it 117,649^2. I hope im correct with the way i set up the equation even though the number is absurdly large
Step-by-step explanation:
Answer: (7⁶)² = 7¹²
Step-by-step explanation:
All you have to do is multiply the exponents here and keep the 7. So, your final answer is 7¹².
Hope this helps, and don't forget to mark me brainliest! Have a wonderful day!
Wsg, Thank you Holmes
Answer: um..
Step-by-step explanation:
Find the sum of (9+7n)+(-3+5y)+(5+6b)
Answer: 6b+7n+5y+11
Good luck!
How would you write 5^-3 as a fraction with no exponents ?
Answer:
1/ 125
Step-by-step explanation:
Answer:
Step-by-step explanation:
(53)−3. First, distribute the -3 in the exponent to the numerator and the denominator. (5−33−3) Because both of the exponents are negative=(35)3=27125
The enrollment at Ousley Jr. High School dropped by 60 students over a 5-year period. What is the average yearly drop in enrollment?
Answer:
The average yearly drop in enrollment is 12.
Step-by-step explanation:
The average refers to the central value in a group of numbers and with the information provided, you can find the average by dividing the number of students that dropped out of the school by the number of years over which that ocurred:
number of students= 60
number of years= 5
60/5=12
According to this, the answer is that the average yearly drop in enrollment is 12.
help plz im so stuck
Answer: yes
Step-by-step explanation:
What is the value of z? Need HELP ASAP!! Need Answer NOW!
Answer:
8
Step-by-step explanation:
I need some help please it’s due in 20 minutes!
Answer:C
Step-by-step explanation:
I am not that sure.. but I think the answer is C.
Mary Borrowed $3,000 at the rate of 8% per annum interest is compounded annually calculate the total amount owed at end of the 2 years?
Answer:
A=P×(1+r÷100)t
A=3000×108÷100×108÷100
A=17496÷2
A=3499.2
Step-by-step explanation:
Use the table. What inference can you make by comparing the measures of variability? Use the drop-down menus to explain your answer.
Finish Times of 30 Runners
in the 100-meter Dash
Mean MAD
Last Year 16.2s 1.2
This Year 14.7s 1.9
The is greater for this year’s 100-meter dash, which suggests that all 30 students equally.
Answer:
The first one is mean absolute deviation and the second one is did not improve
Step-by-step explanation:
I took the test
The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
The given table is:
Mean MAD
Last Year 16.2 s 1.2
This Year 14.7 s 1.9
Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.
The mean absolute deviation is bigger, but the change in the mean is bigger.
difference of the mean 16.2 - 14.7 = 1.5
difference of the MAD 1.9 - 1.2 = 0.7
This means that the average speed of the runners increased since last year,
and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.
Learn more about Mean here:
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Help due soon will give brainliest
Answer:
C.
Step-by-step explanation:
4 to the power of 2 is 16
6 to the power of 2 is 36
Add them up and it's 52
10 the power of 2 is 100
100 does not equal 52 so therefore it is not a right triangle
If 2 inches on a map represents 100 miles, how much does 3.5 inches
represents on the same map? *
Answer:
175 miles
Step-by-step explanation:
3.5 has 2 miles in it so it has 100 then it has another 1 to make It 3 and half of 2 is ahh it's hard to explain but there's the anwser
Help me answer this please
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
—-PLEASE HELP QUESTION IS IN THE PICTURE-
is this wrong?
looks good I can't see anything wrong
Ambria received flowers for Valentine's Day that were in a vase shaped like a rectangular prism. If the vase measured 12 inches long, 6 inches wide, and 10 inches high and was filled with water 4 inches from the top, what is the volume of the water that will be in the vase?
Answer: [tex]432\ in.^3[/tex]
Step-by-step explanation:
Given
The dimension of a rectangular prism is [tex]12\times 6\times 10\ in.^3[/tex]
Water is filled [tex]4\ in.[/tex] from the top i.e. [tex]10-4=6\ in.[/tex] high
base area for the water is the same i.e. [tex]12\ in.\times 6\ in.[/tex]
The volume of rectangular prism is [tex]l\times b\times h[/tex]
The volume of water in the vase is given by
[tex]\Rightarrow V=12\times 6\times 6=432\ in.^3[/tex]
Find the measure of arc LM.
Answer:
arc LM = 119°
Step-by-step explanation:
KL = LM
arc KL = arc LM
2(arc LM) = 360° - 122° = 238°
arc LM = 119°
A rectangular piece of metal 12 cm long 18 cm wide and 10 cm high is melted and recast into 45 cylindrical plates,each of radius 1.2 cm.Find the thickness of each plate giving your answer correct to 2 decimal places?
Answer:
10.61 cm
Step-by-step explanation:
From the question,
The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.
Volume of a cuboid = 45×volume of a cylinder
lwh = 45×πr²h..................... Equation 1
Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.
make h the subject of the equation
h = lwh/(45πr²).................... Equation 2
Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm
Constant: π = 3.142.
Substitute these values into equation 2
h = (12×18×10)/(45×3.142×1.2²)
h = 2160/203.60
h = 10.61 cm.
On Tuesday, Bob brought home an oriental carpet on approval. The price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars. On Tuesday, one dollar was worth 4.5 Turkish Lira. On Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira. Feeling lucky by this change, Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate. To the nearest dollar, how much did he save due to the devaluation?
Answer:
Rounded to the nearest dollar, Bob saved $677 by buying the carpet on Wednesday.
Step-by-step explanation:
Since on Tuesday, Bob brought home an oriental carpet on approval and the price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars and, on Tuesday, one dollar was worth 4.5 Turkish Lira but on Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira, with which Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate, to determine to the nearest dollar, how much did he save due to the devaluation the following calculation must be performed:
(9,900 / 4.5) - (9,900 / 6.5) = X
2,200 - 1,523.07 = X
676.92 = X
So, rounded to the nearest dollar, Bob saved $ 677 by buying the carpet on Wednesday.
You go to see family in another city. So far you have gone 120 miles. The total trip is 360 miles. What fraction of the total trip , in lowest terms , has been traveled?
Answer:
1/3
Step-by-step explanation:
120/360 = 12/36 = 2/6 = 1/3
Which type(s) of fractions have the same value?
like fractions
simplified fractions
equivalent fractions
all of the above
only b and c
Find the difference.
(9/4x + 6)-(-5/4x-24)
Answer:
9x/4 + 30 + 5x/4
Step-by-step explanation:
[tex]9x/4 +30 +5x/5[/tex]
The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ (9/4x + 6) - (- 5/4x - 24)
Simplify the expression, then we have
⇒ (9/4x + 6) - (- 5/4x - 24)
⇒ (9/4)x + 6 + (5/4)x + 24
⇒ (14/4)x + 30
⇒ 3.5x + 30
The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.
More about the simplification link is given below.
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Multiply:
2 1/4 x 1 1/2 x 5/3=?
Answer:
The answer is 48.12, I didn't used calculator
Which ordered pairs are solutions to the system of linear equations?
y = 2x + 1
2y - 4x = 2
O (0,1)
O (1,0)
O (2,3)
O (-1, - 1).
0 (0,0)
O (-1,3)
Answer:
answer is (0,1).........
do you guys know the answer to this problem?
PLZ HELP WILL GIVE BRAINLIST IF CORECT!!!
Answer:
w 2 x 6
Step-by-step explanation:
WHAT IS THE HA AND RANGE
ILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER
Answer:
hahaha
Step-by-step explanation:
you said that you will give brainliest to the first person to answer not the first person to get it right