Answer:
6 yards
Step-by-step explanation:
a³ = 216
a = ∛ 216
= 6 yards
Answer:
6 yards
Step-by-step explanation:
The volume of a cube can be found using the following formula.
[tex]v= s^3[/tex]
We know the volume is 216 cubic yards, so we can substitute 216 yd³ in for v.
[tex]216 yd^3=s^3[/tex]
We want to find the side length. Therefore, we must isolate the variable, s, on one side of the equation.
s is being cubed. The inverse of cubed is the cube root. Take the cube root of both sides of the equation.
[tex]\sqrt[3]{216 yd^3}=\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{216yd^3}=s[/tex]
[tex]6yd=6[/tex]
The side length of the cube is 6 yards.
What is the value of x? leave your answer in simplest radical form.
Answer:
2 sqrt(5) =x
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2
2^2 +4^2 = x^2
4+16 = x^2
20 = x^2
Take the square root of each side
sqrt(20) = sqrt(x^2)
sqrt(4*5) = x
sqrt(4) sqrt(5) =x
2 sqrt(5) =x
How many fluid ounces are one quart
Answer:32
Step-by-step explanation:
Answer:
just look it up it says 32 fluid ounces in one quart
Subtract -5x^2-9x+8−5x
2
−9x+8 from -6x^2+5−6x
2
+5.
Answer:
−10x2+−18x+26
Step-by-step explanation:
Let's simplify step-by-step.
−5x2−9x+8−5x2−9x+8−−6x2+5−6x2+5
=−5x2+−9x+8+−5x2+−9x+8+6x2+5+−6x2+5
Combine Like Terms:
=−5x2+−9x+8+−5x2+−9x+8+6x2+5+−6x2+5
=(−5x2+−5x2+6x2+−6x2)+(−9x+−9x)+(8+8+5+5)
A prism, whose area of cross-section is 55 cm, has a height of 21 cm. Find the
volume of the prism.
Step-by-step explanation:
volume = crossectional area×height
55×21= 1155cm³
What is the value of the expression below when z=6 ?
Answer:
51
Step-by-step explanation:
[tex]z^{2}[/tex] + 3z - 3
36 + 18 - 3
51
What country was Francis drake born and what was an accomplishment
Answer:
1. Francis drake birth place was in Tavistock, United Kingdom
2. we was famous by his talent of exploration and he was the guy who found British Empire and is one of the most renowned sea captains in the history of his nation.
If this helped please give me brainlest :)
Answer:
Francis Drake was born in the UK and he's a naval officer
Step-by-step explanation:
Drake is most famously known for his circumnavigation of the world in a single expedition, from 1577 to 1580, and was the first to complete the voyage as captain while leading the expedition throughout the entire circumnavigation. He discovered that Tierra del Fuego, the land south of the Magellan Strait, was not another continent as Europeans believed, but instead a group of islands. This meant that ships could sail between the Atlantic and Pacific oceans around the bottom of South America (later known as the Cape Horn route).
Is {(-4, 5), (1,-1), (2,-2)} represent a function
Answer:
it is a function
Step-by-step explanation:
Answer:
Since there is one value of y for every value of x in ( − 4, 5 ), ( 1, − 1 ), ( 2, − 2), this relation is a function.
The relation is a function.
Hope this helps (●'◡'●)
Please help ASAP
Sara kicked a football. The height of the ball (in meters above the ground) ttt seconds after Sara kicked it is modeled by h(t)=-5t^2+20th(t)=−5t 2 +20th, left parenthesis, t, right parenthesis, equals, minus, 5, t, squared, plus, 20, t Sara wants to know the height of the ball above the ground at its highest point. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. 2) At its highest point, how far above the ground was the ball?
Answer:
20 m
Step-by-step explanation:
2) t = -b/2a (FROM QUAD. FORMULA)
t = -20/2(-5)
t = 4/2 = 2/1 = 2
t = 2, insert
h(2) = -5(2)² + 20(2)
h(2) = -20 + 40
h(2) = 20 m
VERTEX: (2,20)
Answer:
20m
Step-by-step explanation:
NEED ANSWER ASAP!!!!! Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The circle has a diameter of 6 inches.
====================================================
Explanation:
See the diagram below. We're looking for the area of the shaded region in blue.
This is known as an inscribed circle since the circle is inside the square, touching each side at one point. This circle is as large as possible without spilling outside the square. Think of a balloon that has been inflated as much as possible to fill the room (it touches every wall at a tangent point).
The square has area s^2 = 6^2 = 6*6 = 36 square inches.
The circle has area pi*r^2 = pi*3^2 = 9pi square inches exactly. Note how I cut the diameter (6) in half to get the radius (3).
The blue shaded area is the difference of the square and circle areas, so we have 36 - 9pi as the exact area of the shaded region.
Using your calculator, you should find that 36-9pi = 7.72566611769187 approximately. I'm using my calculator's stored version of pi as opposed to something like pi = 3.14; but you may need to ask your teacher for clarification about what version of pi to use.
When rounding to the nearest tenth, we then get roughly 7.7 square inches as our final answer.
Find an expression which represents the sum of (7x-6y) and (3x – 5y) in
simplest terms.
The sum of the expressions (7x – 6y) and (3x – 5y) will be 10x – 11y.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expressions are given below.
(7x – 6y) and (3x – 5y)
Then the sum of the expressions will be
⇒ (7x – 6y) + (3x – 5y)
⇒ 7x – 6y + 3x – 5y
⇒ 10x – 11y
More about the simplification link is given below.
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Solve the system: 4x - y = 5 x + 2y = 8
Answer:
x = 2y = 3Step-by-step explanation:
4x - y = 5..........… Equation 1
x + 2y = 8 ............. Equation 2
Make x the subject in equation 2 and substitute it into equation 1
That's
x = 8 - 2y
We have
4( 8 - 2y ) - y = 5
32 - 8y - y = 5
- 9y = - 27
Divide both sides by - 9
We have the final answer as
y = 3Substitute y = 3 into x = 8 - 2y
That's
x = 8 - 2(3)
= 8 - 6
x = 2Hope this helps you
Step-by-step explanation:
4x-y=5-----×1.
x+2y=8----×4.
which will be....
4x-y=5
- 4x+8y=32.
____________
-9y=-27
----- ----
-9. -9.
y=3.
then substitute into any equation...
equation one.
4x-3=5.
4x=5+3.
4x=8.
x=8/4.
x=2.
therefore y=3 and x=2.
Can somebody please help me count money I don’t wanna ask my family they always judging me and I need help is there anyway I can call anybody or do a face call
Answer:
Put in the question that you need help with
Step-by-step explanation:
I would probably be able to answer it for you.
Carlos has 4 1/2 gallons of paint. To paint a room that is 10 ft by 10 ft, he uses 34 gallon of paint. How many 10 ft by 10 ft rooms can Carlos paint? A. 4 1/3 rooms B. 4 2/3 rooms C. 6 rooms D. 9 rooms
Answer:
C. 6 rooms
Step-by-step explanation:
I think you means he uses 3/4 gallon for 1 room.
This is a division problem. Divide the amount of paint he has by the amount he uses to paint one room.
(4 1/2)/(3/4) = (9/2)/(3/4) = 9/2 * 4/3 = 36/6 = 6
Answer: 6 rooms
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 48 N acts on a certain object, the acceleration of the object is 6 m\s2 If the acceleration of the object becomes 10 m/s2, what is the force
Answer:
80N
Step-by-step explanation:
F = ma (Newton's second law)
When F=48N, a = 6m/s2
--> m = F/a = 48/6 = 8 (kg)
When a = 10m/s2
--> F = ma = 8 . 10 = 80N
Which of the following is the surface area of the right cylinder below?
15
A. 225 units2
B. 540 units2
C. 240 units2
D. 252 units
Answer: 252pi units^2
Step-by-step explanation:
A p e x
The surface area of the given right cylinder is 252π square units. Therefore, option D is the correct answer.
What is total surface area of cylinder?The surface area of a cylinder refers to the total area that the cylinder's curved surface and circular bases cover. The total surface area of the cylinder includes the area of the 2 bases of the cylinder (each of which is in the shape of a circle) and the area of the curved surface.
Given that, the radius of a cylinder is 6 units and the height of a cylinder is 15 units.
We know that, the total surface area of a cylinder is 2πr(r + h).
Now, the surface area = 2×π×6(6+15)
= 2×π×6×21
= 252π square units
Therefore, option D is the correct answer.
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I NEED THIS ANSWER TODAY PLEASE!!!! A hotel manager found that his gross receipts for the day, including a 3% sales tax, were $2766.58. Find the amount of sales tax collected.
==================================================
Work Shown:
x = amount of money collected before tax is added
3% = 3/100 = 0.03
3% of x = 0.03x = amount of tax
x + 0.03x = adding on tax to original amount
1.03x = amount after tax is added
1.03x = 2766.58
x = 2766.58/1.03
x = 2686 is the amount of money before the 3% sales tax is added
0.03x = 0.03*2686 = 80.58 is the amount of sales tax collected
As a check,
2686+80.58 = 2766.58
which confirms our answer
Answer:
Tax collected= $80.58
Step-by-step explanation:
Let's say that the amount he got from services was "x", and to that he had to add a 3% of sales tax.
Recall that 3% in math form is written as: 3/100 = 0.03
then, he had to include 0.03 times x to the "x" amount in hotel services:
x + 0.03 x = 2766.58
1.03 x = 27688.58
x = 27688.58/1.03
x= $2686
Then, the amount for the taxes is 3% of this which is:
0.03 * 2686 = $80.58
1-1 Relations and Functions
An electrician charges $35 to make a trip to a job site. She charges an additional $50 per hour for two hours or less. If the job takes over two
hours, she charges $45 per hour and doesn't charge for the trip.
A mapping diagram for her rates from 1 to 4 hours, including half hours, is shown.
Domain
Range
1
85
1.5
2
2.5
- 110
135
112.5
157.5
3
3.5
4
+180
Is the relation between hours and dollars charged a function? Explain.
A. No: for any given number of hours, there is only one possible cost
B. No, for 135 there are two possible numbers of hours.
оо
C. Yes, for any given number of hours, there is only one possible cost.
of 5
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Next →
Question 5
Review progress
Answer:
C, Yes; for any given number of hours,there is only one possible cost.
Step-by-step explanation:
Simple Function question, if there’s an X with the same number, it’s not a function. It wasn’t D since it’s justifying the range being the same number
Which do you prefer: leaving √5 in radical form, or converting it to a decimal? Why? When would it be useful to use each?
Answer:
I prefer leaving the answer as √5 since it is a shorter form and exact form of the answer.
Here are reasons for leaving it as a radical form or a decimal approximation.
If you are looking for an exact answer, then you should leave it as √5. For example, if you are told a square has area 5 square units, then the exact length of the side is √5 units.
If √5 is the length of something that has to be made to that length, then you need an approximation. For example, if you are asked to make a square out of cardboard whose area is 5 square feet, then you need an approximation of √5 ft, such as 2.24 ft, so you can make each side of the cardboard square in the length of 2.24 ft.
We shall prefer to keep √5 in radical form, as it is an irrational number and will never give an exact value when converted to decimal form.
What are rational and irrational numbers?A rational number is any number that can be represented in the form p/q, where p and q are integers, q ≠ 0, and p, q are co-prime to each other, that is, they do not have any common factor except 1.
All terminating and non-terminating recurring decimals are rational numbers.
An irrational number is a real number that cannot be represented in the above form of a rational number.
All non-terminating non-recurring decimals are irrational numbers.
How do we solve the given question?We are asked, what would we prefer to do. Leave √5 in radical form or convert it into decimal form.
∵ √5 is an irrational number, we will never get a perfect value of it in decimal form, as irrational numbers are non-terminating non-recurring decimals. So, we shall prefer to keep √5 in the radical form.
Use of √5 in radical form: Gives the exact value in our calculations for equations.
Use of √5 = 2.236067977499........... in the decimal form: Used in trigonometry where we need to find the trigonometric ratio.
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PLEASE HELP explain how you can prove two circles are similiar.
Answer:
if the radius and diameter of two circles is same/equal then those two circles are similar
Step-by-step explanation:
Answer:
if the radius and diameter of two circles is same/equal then those two circles are similar
Step-by-step explanation:
1.3.15
is Question Help
The monthly water bill is a function of the number of gallons used. The cost is $15.50 for 15,000 gal or less. Over 15,000 gal, the cost is $15.50 plus $1 for each
1000 gal over 15,000 with any fraction of 1000 gal charged at a fraction of $1. On what interval is the cost constant? On what interval is the cost increasing?
Answer:
The interval over which the cost is constant is from >0 to 15,000 gallons
The interval for which the the cost is increasing is from above 15,000 gallons
Step-by-step explanation:
For 15,000 gal or less the cost of the monthly water bill = $15.50
For over 15,000 gal, the cost of the monthly water bill = $15.50 plus $1 for each 1000 gal over 15,000 with any fraction of $1,000 charged at a fraction of $1
The interval for which the cost is constant is from 0 ≤ x ≤ 15,000 gal
The interval over which the const is increasing per 1000 gal over 15,000 gallons is from x > 15,000 gal.
Answer:
The interval in which the cost is constant is
[0,15000]
Step-by-step explanation:
The interval is increasing by [1500,∞]
PLEASE HELP 15 POINTS + BRAINLIEST Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. midpoint - (-15,22) endpoint- (-8,15) Please help oh and heres the hint included (Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.)
FIRST TO ANSWER CORECTLY IS BRAINLIEST
Answer:
end point ₂ of a segment X₂ = - 22 ; Y₂ = 29
Step-by-step explanation:
given;
midpoint = ( Mx = - 15 , My = 22 )
endpoint ₁ = ( X₁ = - 8 , Y₁ = 15 )
find the other endpoint ₂ ( X₂ , Y₂)
use the mid point formula to get the other endpoint:
Mx = ( X₁ + X₂ ) / 2 My = ( Y₁ + Y₂ ) / 2
- 15 = (-8 + X₂) / 2 22 = (15 + Y₂) / 2
-30 = - 8 + X₂ 44 = 15 + Y₂
X₂ = -22 Y₂ = 29
Answer:
So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is: ((x 1 + x2)/2, (y 1 + y 2 )/2 {Average of the x coordinates, average of the y coordinates}. For this problem we know the coordinates of the midpoint along with one of the endpoints.
Step-by-step explanation:
Use the midpoint formula
M = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
(9, 0) = ( (x1 + 12) / 2 , (y1 + 3) / 2)
Break up this formula into two equations.
(x1 + 12) / 2 = 9 and (y1 + 3) / 2 = 0
Solve for x1 and y1 from the equations.
Name three collinear points
Collinear points are points that lie on the same straight line.
In the figure, we can see that points E, B, and F are all on the same straight line, meaning that they are three collinear points.
Hope this helps.
頑張って!
Which irrational number is represented by point D?
Answer:
182
Step-by-step explanation:
182= 13.49
162= 12.73
204= 14.28
221=14.87
The irrational number represented by point D is 182. The correct option is A.
What is an irrational number?Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers.
A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
The value on the number line 13.49 is equal to the square root of 182.
√182= 13.49
√162= 12.73
√204= 14.28
√221=14.87
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The perimeter of a rectangle is 28 cm and it’s length is 8cm .calculate the width
Answer:
The width is 16 cm
Step-by-step explanation:
The perimeter of a rectangle=28 cm
length=8cm
width=?
P=28
=L+W
=8+8=16
=6+6=12
=16+12
=28 cm
Therefore, the width is 6+6=16 cm
Hope it helps you!!
Answer: 12
Step-by-step explanation: the length is 8 cm so, times that by 2 because there are 2 lengths which makes it 16cm. Now you subtract 16 from the 28cm which is 12cm divide this by 2 because there are two widths this equals 6 cm
Therefore; our width is 6 cm
To check if this is right you can add all the values= 8+8+6+6= 28cm
9.7 x 10^3 in scientific notation
The answer to the question is 9,700.
You have 2 positive numbers. One number is one-fifth of the other number. The difference between the two numbers is 228, find the numbers.
Hey there! I'm happy to help!
Let's call these numbers x and y and model the information we have.
x=1/5y
y-x=228 (we see that x is smaller than y in the first equation, so we put it second )
We see that x is equal to 1/5y. We can switch the x in the second equation with 1/5y and solve for y.
y-1/5y=228
4/5y=228
We divide both sides by 4/5.
y=285
We know that x is 1/5 of y, so we divide by 5.
285/5=57
x=57
So, our numbers are 57 and 285.
Have a wonderful day! :D
The 2 positive numbers are 285 and 57 and they have a difference of 228.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the bigger positive number and y the smaller number. Hence:
y = (1/5)x y - (1/5)x = 0 (1)Also:
x - y = 228 (2)Solving equation 1 and 2 simultaneously gives:
x = 285, y = 57
The 2 positive numbers are 285 and 57 and they have a difference of 228.
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The equation of a circle is shown below. What is its center and radius? (x - 5.3)^2 + (y + 3.3)^2=49. ANSWERS ATTACHED, 15 POINTS, will give Brainliest! Due in 2 hours!
Answer:
The center is ( 5.3, -3.3) and 7 is the radius
Step-by-step explanation:
We can write the equation of a circle as
( x-h)^2 + ( y-k)^2 = r^2
Where ( h,k) is the center and r is the radius
(x - 5.3)^2 + (y + 3.3)^2=49
(x - 5.3)^2 + (y - -3.3)^2=7^2
The center is ( 5.3, -3.3) and 7 is the radius
A submarine is 650 feet below sea level. If it descends 400 feet, which integer represents its new position?
If a submarine at -650 feet defends 400 more feet then integer that represents its new position will be; -1050 feet
What are integers numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Given that ;
The submarine is underwater. It’s position is 650 feet below sea level.
It rises in the water 400 feet and then descends 400 feet.
Since the submarine again came back to original position by covering the distance.
The integer will be;
-650+(-400)=-1050
Hence the integer representing the change in the Submarine’s position is -1050
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Need to find <1 and <2
Answer:
<1 and <2 value is 120°
hope it will help you
PLEASE HELP!! MEEEEE 1
Answer:
(1,2) (3,2) ( 5,2)
Step-by-step explanation:
Each input value can only go to one output value
The only one that has each input only going to one output is (1,2) (3,2) ( 5,2)