Look at the image for the problem, also round to the nearest hundredth if necessary.
Answers
ANSWER
[tex]V=3052.08ft^3[/tex]EXPLANATION
We want to find the volume of the sphere.
The volume of a sphere is given as:
[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]where r = radius of the sphere.
Therefore, we have that the volume of the sphere is:
[tex]\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot9^3 \\ V=3052.08ft^3 \end{gathered}[/tex]That is the volume of the sphere.
Related Questions
Find the sum of AP 35+29+23+....... as far as the 15th term
Answers
Answer: The answer is y=6x.
Which choice is the value of three over five raised to the second power?
three over twenty-five
three over ten
nine over twenty-five
six over seven
Answers
The value of three over five raised to the second power is nine over twenty-five.
How can the operation be performed?From the question , we were given that three over five raised to the second power which can be interpreted as (3/5)^2 then we can find the square of the given value so that we can arise at the answer.
In this case , (3/5)^2 = 9/25 which implies that the value of the (3/5)^2 is been found and to calculate the value of (3/5)^2, we will need to find the square of 3 which is the numerator as well as the square of 5 which is the denominator.
Therefore, the third option is correct.
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suppose that a large mixing tank initially holds 400 gallons of water in which 80 pounds of salt have been dissolved. pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. determine a differential equation for the amount of salt a(t) in the tank at time
Answers
The differential equation for the amount of salt A(t) in the tank at the time (dA / dT) / (A / 100) = 0, A(0) = 30
It is Given that a large tank holds 400 gallons of water, in which 80 ponds of salt have been dissolved, given that pure water is pumped into the tank at a rate of 8 gallons/min. here we have to find the differential equation for the amount of salt in the tank at the time when the solution is well stirred. we have to multiply both 400 gallons of water and pumped water at the rate of 8 gallons/min.
dA / dT = Rin - Rout
Rin = 0
Rout = A(t) / 400 * 8
= A / 50
So,
dA / dt = Rin - Rout
dA / dt = 0 - A /50
After solving the differential equation we get
A(0) = 30
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help past due!
Multiply the polynomials (5a² + 2a − 7) and (3a² − a + 1). Simplify
the answer.
Answers
Answer:
C
Step-by-step explanation:
Use the distributive property to solve.
(5a²+2a-7)(3a²-a+1)
=15a⁴-5a³+5a²+6a³-2a²+2a-21a²+7a-7
=15a⁴+a³-18a²+9a-7
"Le Sage" Restaurant charges one price for adults and another for children for their buffet dinner. Raj's family has two adults and three children and their bill was $57 without taxes. Eman's family consists of 3 adults and 2 children and their bill was $63 without taxes. What is the cost of the buffet for an adult and for a child.
Answers
Answer:
5763 is the answer because 57 plus 63
Ruby went on a walk that was 10/3 miles long. She stopped to have lunch when she walked 12/25 of her way. How far, in miles, did ruby walk before lunch? Give your answer as a fraction in its simplest form
Answers
Fraction - The distance she walked before lunch 214 / 75 miles
What is Fraction ?
A fraction, which also represents a portion of a whole, is a mathematical symbol for any number of equal parts. A fraction, such as one-half, eight-fifths, and three-quarters, indicates the number of components of a specific size when used in conversational English.
Given that,
The distance Ruby has to walk = 10/3miles
The distance left to complete before stopping = 12/25miles
The distance Ruby has to walk before lunch = 10/3 - 12/25
= 250 - 36 / 75
= 214 / 75miles
Hence, she walked 214 / 75 miles before lunch
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Is the relationship between the number of tickets sold and the number of hours proportional? If so, how many tickets were sold in 8 hours?
hours.
1) 3
2) 5
3) 9
Tickets sold
1) 240
2) 400
3) 720
Answers
Brayden deposited $2700 into a savings account that has an annual simple interest rate of 0.3%. find the amount in the savings account after each number of years.
Answers
The principal plus interest which gives the amount in the account after each year are;
First year, $2,708.7Second year, $2,717.4Third year, $2,726.1Fourth year, $2,734.8Fifth year, $2,743.5What is a simple interest applied to an amount?Simple interest is the product of the principal amount, the rate and the time of investment
The amount Brayden deposited in the savings account, P= $2,700
The interest on savings account, R = 0.3% simple interest
The simple interest formula is, I = P•R•T
The interest in the account after each year is therefore;
1st year = $2,700×0.3%×1 = $8.7
The interest in 2 years, I = 2×$8.7 = $17.4
3 years, I = $8.7 × 3 = $26.1
4 years, I = $8.7 × 4 = $34.8
5 years, I = $8.7 × 5 = $43.5
The amount in the account after each of the 5 years are therefore;
1st year, A = $2,700 + $8.7 = $2,708.7
2nd year, A = $2,700 + $17.4 = $2,717.4
3rd year, A = $2,700 + $26.1 = $2,726.1
4th year, A = $2,700 + $34.8 = $2,734.8
5th year, A = $2,700 + $43.5 = $2,743.5
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Solve for x. 1/4+1/2+x=−3/4 Enter your answer as a fraction in simplest form in the box.
Answers
Answer:
yes!! finally a question i can solve:
so,
Step-by-step explanation:
Exact Form:
x = − 3/2
Decimal Form:
x = −1.5
Mixed Number Form:
x = -1 1/2
A construction company is building a new office building with x floors that will have a roof that is 35 feet tall. Each floor of the building will be 10.5 feet high. Which equation can be used to find the total height of the office building, y, with x floors and the roof?
has to be like "y=mx+b"
Answers
Answer:
y = 10.5x + 35
Step-by-step explanation:
Since the roof is 35 feet tall, it will be the y-intercept (since it is constant). The number of floors can change, so it will be the x variable.
The final equation is y = 10.5x+35
6. Find the equation for a parabola with vertex (5,-8) containing the point (1,1).
Answers
Answer:
[tex]y=\frac{9}{16}(x-5)^2-8[/tex]
Step-by-step explanation:
The equation in vertex form is [tex]y=a(x-5)^2-8[/tex].
Substituting in the coordinates [tex](1,1)[/tex] to solve for [tex]a[/tex],
[tex]1=a(1-5)^2-8 \\ \\ 1=16a-8 \\ \\ 9=16a \\ \\ a=9/16[/tex]
So, the equation is [tex]y=\frac{9}{16}(x-5)^2-8[/tex].
Need Help Asap Find the measure of a base angle using the Triangle Sum Theorem
Answers
Answer:
45°
Step-by-step explanation:
Given:
Angles are (5x+15)°, 3x° and 3x°.To Find:
Measure of base angle.Concept used:
Sum of all interior angles in a triangle is equal to 180° .Using the above concept, we have
5x + 15 + 3x + 3x = 180
11x = 165
x = 165/11
x = 15
So, 3x = 3*15 = 45°
So, the measure of base angle is 45°
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Base \:\: Angle=3x = 45° [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Property of Triangle : sum of all interior angles of a triangle is 180°
[tex]\qquad \tt \rightarrow \: 5x + 15 + 3x + 3x = 180[/tex]
[tex]\qquad \tt \rightarrow \: 5x + 3x + 3x + 15 = 180[/tex]
[tex]\qquad \tt \rightarrow \: 11x = 180 - 15[/tex]
[tex]\qquad \tt \rightarrow \:11 x = 165[/tex]
[tex]\qquad \tt \rightarrow \: x = 165 \div 11[/tex]
[tex]\qquad \tt \rightarrow \: x = 15[/tex]
Value of x is 15°, base angle is 3x :
[tex]\qquad \tt \rightarrow \: base \: \: angle = 3x = 3 \times 15 = 45 \degree[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
increase 35 %of 78 please help me out
Answers
35% more than 78?
35% of 78;
78 x .35 = 27.3
78 + 27.3 = 105.3
Tyrell bought n number of shares for s dollars and paid a 3% commission. He sold
the stock for d dollars and paid a flat fee of $15. Which expression below models
Tyrell’s net proceeds algebraically?
Answers
The expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15) .
In the question ,
it is given that ,
Tyrell bought n shares for s dollars
So the price Tyrell paid for shares = $ ns .
Tyrell also paid 3% commission ,
so the total cost price Tyrell paid for shares = price of share + commission
total cost price = ns + 3% of ns
= ns + 0.03ns ....as 3% = 0.03
= 1.03ns ...(i)
Tyrell sold the stocks for d dollars .
Tyrell also paid the flat fee of $15 .
So, the selling price for stocks = d-15 ......(ii)
The Tyrell's Net Proceeds can be calculated using the formula
Net Proceeds = Selling Price - Cost price
Substituting the values of selling price and cost price from (i) and (ii) ,
we get ,
Net Proceeds = (d-15)-(1.03ns)
= d-15-1.03ns
= d-(1.03ns + 15)
Therefore , the expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15) .
The given question is incomplete , the complete question is
Tyrell bought n number of shares for s dollars and paid a 3% commission. He sold the stock for d dollars and paid a flat fee of $15. Write an expression to model Tyrell’s net proceeds algebraically.
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in the graph below find the coordinates of the image point O is the origin and P is the point (1,-2) Ry and Rx are Reflections around the X & Y axis
Answers
If (1, -2) is reflected over the x-axis, then the image is (1, -(-2)) = (1, 2).
If (1, -2) is reflected over the y-axis, then the image is (-1, -2).
Then, the points are image over the x-axis is (1, 2), and the image over the y-axis is (-1,-2).
Find the value of x in degrees for which d//m
Answers
Answer:
x = 31
Step-by-step explanation:
87=2x-25
-25 on each side
62=2x
divide each side by 2
31=x
x=31
8. Find the greatest number which exactly divides 48 and 140.
Answers
Answer:
4
Step-by-step explanation:
Greatest Common Factor or Divisor is 4, because it is the greatest number that divides evenly into all of them.
Hope this helps! :)
If 2y+ 5x = 5 and 4y - x = 21, then what is the value of x + y ?
Answers
The value of equation (x + y) will be 1.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation are;
2y + 5x = 5 ... (i)
4y - x = 21 ... (ii)
Now, Solve both the equation and find the value of x and y as;
Multiply by 2 in equation (i) we get;
4y + 10x = 10
Subtract above equation by (ii);
4y + 10x - (4y - x) = 21 - 11
11x = 11
x = 1
And, 2y + 5x = 5
Substitute x = 1;
2y + 5x = 5
2y + 5 = 5
2y = 0
y = 0
So, x + y = 1 + 0 = 1
Thus, The value of (x + y) will be 1.
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Use the given information determin which lines if any in the figure to the right of the parallel justify each conclusion with a theorem or postulate
Given <2 is supplementary to <3 Because it's given that to a supplementary to 3 lines ______ Are parallel by the ______
Answers
Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.
What are supplementary angles?Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.
∠ 7 = ∠ 4.
Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.
So, ∠ 2 = ∠ 3 {supplementary angles}
Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.
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David, Eva and Farooq share a sum of money.
1/6
David gets
- of the money and Eva gets -
1
4
- of the money.
Farooq gets the rest of the money.
David gets £2.50
Work out how much money Farooq gets.
Answers
Answer:
Farooq gets £8.75
Step-by-step explanation:
Let's represent the amounts obtained by David, Eva and Farooq as D, E and F to make things simpler. Let M be the total amount of money shared
D = 2.50 and represents 1/6 of the total amount of money(M)
So
M/6 = 2.50
Multiply both sides by 6 => M = 2.50 x 6 = £15
Eva gets 1/4th of this so E = 15 x 1/4 = £3.75
David gets £2.50
Together they get £2.50 + £3.75 = £6.25
The balance goes to Farook so F = 15 - 6.25 = £8.75
A basketball player attempts 15 baskets in a game. He makes 9 out of the attempted baskets.
Which describes the number of the baskets the player made to the number of baskets the player attempted?
Answers
The ratio is 3:5 .
The problem we are dealing with is related to the term ratio, where the ratio is characterized as the comparison of two quantities of the same units that shows how much of one amount is present within the other amount. Ratios can be classified into two sorts. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio indicates how two distinct entities or groups are related. whereas, the part-to-whole proportion indicates the relationship between a particular group to an entirety.The situation we are given is that the player attempted 15 baskets in a game and out of 9 was the number of times he made the attempted baskets.We just need to find the ratio of the number of baskets made to the number of baskets attempted,
= 9:15
Here we divide each by 3
= 9/3: 15/3
=3:5
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two rival dry cleaners both advertise their prices.store a´s prices are modeled by the
expression 20x-8,where x is the number of items brought in.store Bs pricesare modeled by the expression 5(4x+4),where x is the number of items brought in.when do the two stores charge the same rate?select the correct choise below and ,if necessary,fill in the answer to complete your choise.
A) The two stores charge the same when_______items are brought in.
B) The two stores always charge the same rate.
C) The two stores never charge the same rate.
Answers
C) The two stores never charge the same rate as per the cost expression of store A and store B.
The each expression of store A and store B represent the total cost charged by them based on the number of items bought. The mentioned expressions will be equated when assuming their total cost to be same. Thus, equating the the expressions.
20x - 8 = 5 (4x + 4)
Performing multiplication on Right Hand Side of the equation
20x - 8 = 20x + 20
Since 20x is present on both the sides, it will be cancelled. The remaining expression will be :
8 = 20, which is a false case as 8 is not equal to 20.
Thus, the equation has no solution and hence, the two stores will never charge the same rate, no matter how many items are bought.
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Write a linear equation of a slope intercept form for a line that passes through the point (-2, 9) and has a slope of:-5/2
Answers
Answer:
[tex]y = - \frac{5}{2} x + 4[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is given by y= mx +c, where m is the slope and c is the y-intercept.
Start with the slope when forming the equation.
Given that the slope is [tex] - \frac{5}{2} [/tex], [tex]m = - \frac{5}{2} [/tex].
Substitute the value of m into the equation:
[tex]y = - \frac{5}{2} x + c[/tex]
The value of c can be found by substituting a pair of coordinates that the line passes through.
When x= -2, y= 9,
[tex]9 = - \frac{5}{2} ( - 2) + c[/tex]
9= 5 +c
c= 9 -5
c= 4
Thus, the equation of the line is [tex]\bf{y = - \frac{5}{2} x + 4}[/tex].
Additional:
What is a linear equation?
A linear equation is one that give rise to a straight line graphIt tells us the relationship between the two variables, x and yThe variables are raised to the power of not greater than 1To learn more about equation of lines, check out: https://brainly.com/question/24436844
PLS HELP WILL GIVE 20 POINTS AND BRAINLIEST!! ASAP!!!!
Answers
Answer:
[tex]\frac{36}{49}[/tex]
Step-by-step explanation:
the pattern identified in the sequence is to add 1/49 after each step in the sequence.
When you add 1/49 to 34/49 you get 35/49, which can be simplified to 5/7.
To get the next value in the sequence just add 1/49 to 35/49, which equals 36/49.
this answer can not be simplified further.
A certain grocery store charges a fee of
3% of the total bill to have groceries
delivered. What is the total price the store
charges to deliver $140 worth of groceries
C $144.20
D $140.42
A $154.42
B $149.80
Answers
For groceries to be delivered, one particular grocery store charges 3% of the whole purchase price. The total price the store charges to deliver $140 worth of groceries will be $144.20.
What do you mean by percentage?A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although abbreviations "pct.", "pct.", and occasionally "pc" are also used, percent symbol, "%," is frequently used to indicate it. A % lacks dimensions and has no associated unit of measurement.
It should be mentioned that a certain grocery store charges a delivery fee equal to 3% of the entire purchase price.
Consequently, the following is the total the store will charge to deliver $140 worth of groceries:
= Percentage charged × Cost+ Cost
= 3% × $140+$140
= 0.03 × $140+$140
= $4.20+$140
The amount charged is $144.20.
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The sum of an integer and 2 times the next consecutive integer is -13. Find the value of the greater integer.
Answers
Answer:x+x+1=13
2x+1=13
2x=13−1
2x=12
x=
2
12
x=6
x+1=6+1=7
Step-by-step explanation:yes
x =7, -2, 0, 7
y= 10,0,10,3
Is this a function?
Answers
Answer:
Yes
Step-by-step explanation:
Each x-value corresponds with only one y-value.
12 = 5w - w solve for w
Answers
Answer:
w = 3
Step-by-step explanation:
12 = 5w - w = 4w ( divide both sides by 4 )
3 = w
Answer:
w=2.4
Step-by-step explanation:
12 = 5w
Divide both sides by 5.
12/5=2.4
5/5=w
2.4=w
Which number is NOT a perfect square?
9
1
4
2
Answers
Answer:
2
Step-by-step explanation:
A perfect square is the product of a number multiplied by itself.
So, 9 would be 3 x 3 so that's a perfect square.
1 is 1 x 1, so that is a perfect square.
4 is 2x2, so that is a perfect square.
2 does not have a number that multiplies by itself to equal 2, so it is not a perfect square.
Answer:
d) 2
Step-by-step explanation:
Now we have to,
→ find which is not a perfect square.
Let's solve the problem,
→ √9 = 3
→ √1 = 1
→ √4 = 2
→ √2 = 1.415
Hence, 2 is not a perfect square.
.the temperature is -15 degree. then the temperature is 11 degree. what is the degree warmer
Answers
Answer: 26
Step-by-step explanation:
If you take 26 minus 11 it gets you -15.
Number lines help a lot with negatives. You can also start with -15 and just start adding numbers starting at a large number and going up or down depending on you answer. Ex. -15 + 30 = 15, -15 + 25 = 10, -15 + 26 = 11.