The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.
How to get the volume of a sphere?The volume of air that we need is equal to the volume of the basketball.
Remember that for a sphere of radius R, the volume is:
V = (4/3)*3.14*R^3
In this case, the radius is 12cm, replacing that we get:
V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3
Then, to fully inflate the ball, we need 7,234.56 cm^3 of air.
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A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. a private contractor charges $75 per hour to develop a logo plus a $100 supply fee. which equation can be solved to determine x, the number of hours after which the costs would be the same? 50x 250 = 75x 100 50 250x = 75 100x 50x 100 = 75x 250 50 100x = 75 250x
The equation that can be solved to determine x, the number of hours after which the costs would be the same is; 50x + 250 = 75x + 100
How to create Linear Equations?
The general formula for the slope intercept form of an equation is;
y = mx + c
We are told that;
Charge per hour = $50
Ownership rights = $250
Thus, for the first company, total cost is;
y = 50x + 250
For the second company;
Total cost is;
y = 75x + 100
Thus, at same cost, we have;
50x + 250 = 75x + 100
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Answer:
50x + 250 = 75x + 100
Step-by-step explanation:
I did the test
Which expression is equivalent to side "8"?
2
d
8
3
45
1.
e
5
nv2
n3
O O OO
5
n
2n
Answer:
n
Step-by-step explanation:
Let d = n.
As both d and 8 are opposed by the same angle (45°) in the right triangle, they are equalTherefore, n = 8Please help me I am stuck on this problem!!!!
Step-by-step explanation:
From less value to large value
30 32 33 33 35
Median is the center number = 33
Mean is (30+32+33+33+35)/5 = 32.6
The same value
What is the constant of proportionality?
Answer: y= 2x
Explanation: The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 5 years. What is the equation
Nick wanted to determine the length of one blade of a windmill. He stood at a point on the ground 440 feet from the windmill's base. Using surveyor's tools, Nick measured the angle between the ground and the highest point reached by the top blade and found it was 38.8°. He measured the angle between the ground and the lowest point of the top blade and found it was 30°. Determine and state a blade's length, x, to the nearest foot.
Using the slope concept, it is found that rhe blade's length is of 90 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the horizontal change is of 440 feet.
At the highest point, the angle is of 38º, hence:
[tex]\tan{38^\circ} = \frac{h_1}{440}[/tex]
[tex]h_1 = 440\tan{38^\circ}[/tex]
[tex]h_1 = 344[/tex]
At the lowetst point, the angle is of 30, hence:
[tex]\tan{30^\circ} = \frac{h_2}{440}[/tex]
[tex]h_2 = 440\tan{30^\circ}[/tex]
[tex]h_2 = 254[/tex]
Hence, the difference is:
[tex]h_2 - h_1 = 344 - 254 = 90[/tex]
The blade's length is of 90 feet.
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in the figure below line x is parallel to line yz find the measure of angle a and the measure of angle b
Answer:
∠a = 35° ∠b = 65°
Step-by-step explanation:
a = 35 ° ( alternate interior angles )
( the line x is parallel to line yz hence we can consider XY as a transversal)
∠b + 35° + 80° = 180 ° ( angle sum property of triangle)
∠b+ 115° = 180°
∠b= 180 - 115
∠b = 65°
Which is the value of `3/4 + 1/2 - 1/3`?
A
`2/3`
B
`7/12`
C
`11/12`
D
`3/3`
Hey there!
3/4 + 1/2 - 1/3
= 5/4 - 1/3
≈ 15/12 - 4/12
≈ 15 - 4 / 12 - 0
= 11/12
Therefore, your answer is: 11/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
what's the ans?
[tex]\bf 6(x+4)+1=x+5[/tex]
Answer:
x = -4
Step-by-step explanation:
6 (x + 4) + 1 = x + 5
6x + 24 + 1 = x + 5 (distributive property)
6x + 25 = x + 5
6x + 25 - x = 5
5x + 25 = 5
5x = 5 - 25
5x = -20
x = -20/5
x = -4
Hope it helps ⚜
Answer: x = -4
Step-by-step explanation:
[tex]6\left(x+4\right)+1=x+5[/tex]
[tex]$$Expand the parentheses[/tex]
[tex]6x+25=x+5[/tex]
[tex]\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}[/tex]
[tex]6x+25-25=x+5-25[/tex]
[tex]$$Simplify[/tex]
[tex]6x=x-20[/tex]
[tex]\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}[/tex]
[tex]6x-x=x-20-x[/tex]
[tex]$$Simplify[/tex]
[tex]5x=-20[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]
[tex]\frac{5x}{5}=\frac{-20}{5}[/tex]
[tex]$$Simplify[/tex]
[tex]x=-4[/tex]
Skylar made 25% of her free throws over the season. If she shot 200 free throws, how many did she make?
Answer:
50 Free Throws
Step-by-step explanation:
Answer: 50 Free Throws
25% = 0.25
0.25*200=50
skylar sucks at basketball
5/6-1/8 Solve by finding a common denominator
A)30/48
B)34/48
C)38/48
D)42/48
Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
__
The difference is ...
[tex]\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}[/tex]
__
Additional comment
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
__
Using the least common denominator does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.
A bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in the simplest form.
What is the volume of the solid figure?
Enter your answer in the box.
Solid is made up of 3 cuboids. First cuboid has length as 4 ft, height as 9 ft and width as 3 ft. Remaining 2 cuboids are placed on the right and left side of the 1st cuboid whose length as 1 ft, height as 1 ft and width as 3 ft.
Answer:
Volume of the solid = 2[1 x 1 x 3] + (4 x 3 x 9) = 114 ft³
Ans: 114 ft³
Step-by-step explanation:
PLEASE HELP!!!! Find the volume. Round to the nearest tenth, if necessary.
Answer:
[tex]63cm {}^{3} [/tex]
Step-by-step explanation:
the shape above is a cuboid and volume of a cuboid
= length x breath x height
=length=3cm
breath= 7cm
height= 3cm
volume= (3x7x3)cm =63 cm^3
Hello, i am currently having a hard time in school for a while if anybody can help me out it would be greatly appreciated
Answer:
36 m
Step-by-step explanation:
PT = x
This is True because of similar sides [tex]\frac{8}{x} = \frac{7}{14}[/tex]
solve for x to get PT and you get 16
Then to find the perimeter you would do P = PR + PR + PT = 6m + 14m + 16m = 36m
Answer:
36 m
Step-by-step explanation:
Line QS = (1/2) Line PT
8 m = (1/2) Line PT
Line PT = 16 m
Perimeter = 3 + 3 + 7 + 7 + 16
P = 36 m
I hope this helps!
The sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x = 42 x2 2x = 42 x2 x 42 = 0 x2 2x 42 = 0
The equation is a quadratic equation that is x + x² = 42. Then the correct option is A.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
The sum of a number and its square is 42.
Let x be the number. Then the square of that number will be x².
Then we have
x + x² = 42
More about the Algebra link is given below.
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Answer:
a
Step-by-step explanation:
Convert 4 3/5 cups to pints.
Answer:
2.3 pints
Step-by-step explanation:
4.6 cups = 2.3 pints
Find a real life example of an inequality and explain why it represents an inequality
Answer:
Roads have speed limits
Step-by-step explanation:
Roads have speed limits. This is an inequality because it doesn't reflect an exact number, but rather a restriction on what is permissible or possible.
PLEASE HELP I WILL GIVE YOU BRAINLEY CROWN
The volume of a rectangular prism is 162 cm
If the height is doubled, what is the new volume?
Answer:
1296 cm³
Step-by-step explanation:
Given
Volume of original rectangular, V = 162 cm³V = lwhSolving
Here it is mentioned the height is doubledTherefore, h is now 2hSubstitute in the volume formulaV = lw(2h)³V = 8 x lwhV = 8 x 162V = 1296 cm³Answer:
1296 cm³
Original Rectangle:
height : H
volume : 162 cm³
New Rectangle:
height : 2H
volume : x (let it be x)
Solve:
[tex]\rightarrow \sf (\dfrac{H}{2H})^3 = \dfrac{162}{x}[/tex]
[tex]\rightarrow \sf (\dfrac{1}{2})^3 = \dfrac{162}{x}[/tex]
[tex]\rightarrow \sf x = 1296[/tex]
SALE
60% OFF!
The original price of a swing set is $940. How much will Carmen pay if she buys it
during the sale?
Answer:
Carmen will pay $376.
Step-by-step explanation:
Multiply $940 by 40% because 100% - 60% = 40%:
(40%)(940) = 0.4 * 940 = $376
pls help me thank you
Answer:
A no. is correct one
Step-by-step explanation:
Hope it will help you. and please mark me brilliant
Answer:
A
Step-by-step explanation:
12x+6x=90deg
90deg+90deg=180deg
What is the completely factored form of x4 8x2 – 9? (x 1)(x – 1)(x 3)(x 3) (x 1) (x minus 1) (x squared 9) (x2 – 1)(x 3)(x – 3) (x 1)(x 1)(x 3)(x 3)
The complete factor of the polynomial expression is (x² + 9)(x – 1)(x + 1), then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is given as
x⁴ + 8x² – 9
Then by the factorization, we have
x⁴ + 8x² – 9
x⁴ + 9x² – x² – 9
x²(x² + 9) – 1(x² + 9)
(x² + 9)(x² – 1)
(x² + 9)(x – 1)(x + 1)
More about the factorization link is given below.
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Answer:b
Step-by-step explanation:
on edg 2022
You roll a 6-sided die.
What is P(5)?
Write your answer as a fraction or whole number.
Submit
Work it out
Not feeling radunt? Th
Answer:
6*5=30= 30/100
Step-by-step explanation:
we will multiply 6* by 5 and after that we will do it fraction by doing that 30/100
what are the formula to find the vertex of hexagon
Answer:
the answer is 6
Step-by-step explanation:
there are 6 side you times the 6 with the area of an equilateral triangle so the area of hexagon = 6
Jesse planted several marigold seeds in his garden and, several weeks later, measured and recorded the height (in centimeters) of each plant. The data is organized in the frequency table shown. Of those planted, how many marigolds are less than 4 cm or more than 10 cm long?
A.) 1
B.) 5
C.) 2
D.) 3
Answer:
D. 3
Step-by-step explanation:
Look at how many are less than 4cm (1) and how many are more than 10 (2) and add them together (1+2=3)
The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º
A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
What is heptagon?A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
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Answer:
C. 124
Step-by-step explanation:
E2020
Consider the function f(x) = x2 + 8x +1. Which equation shows function f written in vertex form?
f() = (x + 8)2 +1
f(x) = (x – 4)²+1
f(x) = (x – 8)² – 17
f()= (x +4)2 - 15
Answer:
4th option
Step-by-step explanation:
f(x) = x² + 8x + 1
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 1
= (x + 4)² - 15 ← in vertex form
The diagram shows a solid shape.
The shape is a hemisphere on top of a cylinder,
Volume of a sphere = 4/3pir^3
Pressure = force/area
The solid shape is placed on a table. The solid exerts a force of 4 Newtons on a table. The pressure on the table is 100 N/m. The height of the cylinder is 45 cm. Work out the total volume of the solid shape.
Please can someone help explain it.
Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]
How to determine the volume of the solid shape under pressureIn this question we must apply the concepts of pressure (P), in newtons per square meter, cross section area (A), in square meters, and volume (V), in cubic meters, to determine that Let assume that the bottom experiments an uniform pressure due to a reaction force (F), in newtons, from the table, whose formula is described below:
P = F/A = 4 · F /(π · D²) (1)
If we know that F = 4 N and P = 100 N/m², then the diameter of the cylinder is:
[tex]D = 2\cdot \sqrt{\frac{F}{\pi\cdot P} }[/tex]
D ≈ 0.226 m²
And the volume of the solid shape is: (H = 0.45 m)
V = 0.25π · D² · H + (π/12) · D³
V = 0.25π · (0.226 m)² · (0.45 m) + (π/12) · (0.226 m)³
V ≈ 0.021 m³ (21073.745 cm³)
Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]
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× 10^-3 is 2,000 times greater than 1. 9 × 10-6. It is also times greater than 9. 5 × 10^-4
Answer:
1.9 × 10^-6.
Step-by-step explanation:
How many bars would the team need to purchase from each company in order for the total cost to be equal? 6 8 30 40
Answer:
It's 40
Step-by-step explanation: Fortunately for you I risked my test for you and ended up getting the correct answer of course^0^
Answer:
40
Step-by-step explanation: