The radius of the softball is 2.5 inches
The volume of a sphere is given by
V = 4/3 pi r^3
We know the volume is 125/6 pi
Substituting in
125/6 pi = 4/3 pi r^3
Divide by pi on each side
125/6 pi/ pi = 4/3 pi/ pi r^3
125/6 = 4/3 r^3
Multiply by 3/4 on each side to isolate r
125/6 * 3/4 = 3/4 *4/3 r^3
125/8 = r^3
Take the cube root on each side
(125/8) ^ 1/3 = (r^3) ^ 1/3
5/2 = r
2.5 =r
The radius of the softball is 2.5 inches
Answer:
[tex]\huge\boxed{\sf r = 2.5 \ in.}[/tex]
Step-by-step explanation:
[tex]\sf Volume \ of \ sphere = \frac{4}{3} \pi r^3\\\\Where \ volume = \frac{125 \pi }{6 } \ in.^3\\\\Put \ in \ the \ above\ formula:\\\\\frac{125 \pi}{6} = \frac{4}{3} \pi r^3\\\\Cancel \ pi\\\\\frac{125}{6} = \frac{4}{3} r^3\\\\20.83 = 1.33 r^3\\\\Divide \ 1.33 \ to \ both \ sides\\\\20.83/1.33 = r^3\\\\15.625 =r^3\\\\Take \ cube \ root \ on \ both \ sides\\\\\sqrt[3]{15.625} = \sqrt[3]{r} \\\\2.5 = r\\\\[/tex]
[tex]\sf r = 2.5 \ in.\\\\\rule[225]{225}{2}[/tex]
Help me PLEASE. Im not smart T>T
Answer:
3 is D
4 is F
Step-by-step explanation:
Just multiple the numbers together
What are the solutions of the following system? startlayout enlarged left-brace 1st row x squared y squared = 25 2nd row 2x y = 25 endlayout (0, –5) and (–5, 5) (0, –5) and (5, –15) (0, –5) and (–4, 3) (0, –5) and (4, –13)
The quadratic equation has no real roots. This means the line and point has no point of intersection.
System of equationsSystem of equations are equations that is more than one and have two or more unknowns.
Given the simultaneous equation
x^2 + y^2 = 25
2x + y = 25
from equation 2;
y = 25 - 2x ................3
Substitute equation 3 into 1 to have:
x^2 + (25-2x)^2 = 25
x^2 + 625 - 100x + 4x^2 = 25
5x^2 -100x + 600 = 0
x^2 -20x + 120= 0
Hence the quadratic equation has no real roots. This means the line and point has no point of intersection,
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Answer:
C on edge
Step-by-step explanation:
(0,-5) and (-4,3)
solve for the missing side. round to the nearest 10th. (look at image below) pls & thank u! <3
Answer:
21.4
Step-by-step explanation:
a^2+b^2=c^2
13^2+17^2=c^2
169+289=c^2
458=c^2
squrt 458=c^2
21.4=c
The Jordan family budgeted 16% of their disposable annual income of $44,000 for food, but found they needed $35 more per week. How much of their income should now be added to their food budget?
$1,587. 00
$1,820. 00
$1,924. 00
$2,042. 00
None of these choices are correct
Multiplication is the process of multiplying two numbers. The amount that is needed to be added to the income is $1,820.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Jordan's family needs to add $35 more per week to their food budget, Since a year has 52 weeks, therefore, the amount that is needed to be added by Jordan's family is,
[tex]\rm Amount\ Needed = \$35 \times 52 = \$1,820.00[/tex]
Hence, the amount that is needed to be added to the income is $1,820.
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Which rule represents the table's (down below) values?
A) y=3x+1
B) y=2x+11
C) y=3x-1
D) y=4x-15
X Y
12 35
13 38
14 41
15 44
16 47
Answer:
C
Step-by-step explanation:
Substitute the x-values into the the equation y=3x-1 and they will all give you the same y-values that are given in the table.
Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide. What is the rate of change in worldwide temperatures per year?
Answer:
the answer should be 0.05 degrees every year
rate brainliest
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1/4
Step-by-step explanation:
Write down the bearing direction of ES in angle.
Answer:
045°
Step-by-step explanation:
[tex]135 - 90 = 45[/tex]
Reflect triangle ABC over the line x= -3.
What are the new coordinates?
Answer:
Step-by-step explanation:
We do not know the coordinates of triangle ABC, however, if the coordinates were (hypothetially) A (-2,0) B (-2,2) and C (-1,0) then we would flip triangle ABC over the line x=-3, point A would move 2 points horizontally to the left. Point B would move 2 points horizontally to the left. Point C, would move 4 points horizontally to the left. The Y coordinates would stay the same. Basically, instead of flipping it over the origin, you "move the origin" to whichever point you are told, they would function the same.
From a speed of 80 feet per second, a car begins to decelerate. The rate of deceleration is 16 feet per square second. How many feet does the car travel before it stops
Answer:
240 feet
Step-by-step explanation:
hope this helps :)
Jay rode his bicycle 10 blocks. This is 40% of the way
from his home to school. How many blocks is it from
Jay's home to sschool?
Answer:
25
Step-by-step explanation:
multiply 10 times 100
divide that by 40
it is not 82 accidentally clicked it
Hi!
Your answer is 52.
To start off, let's start with some facts that will help us solve this:
Supplementary angles are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.
Triangles (all of them) have angles that add up to 180 degrees.
We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:
[tex]67 +?=180[/tex]
[tex]?=113[/tex]
That angle is 113 degrees.
Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:
[tex]15+113+x=180[/tex]
[tex]128+x=180[/tex]
[tex]x=52[/tex]
Therefore, x is equal to 52.
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
18° and 39°
23° and 67°
43° and 47°
65° and 25°
Answer:
B
Step-by-step explanation:
Remark
The angle opposite the hypotenuse is 90 degrees. The hypotenuse is 13 in this case and is labeled c.
The second longest line is opposite the second largest angle
Sin(A) = opposite / hypotenuse
Solution
Sin(A) = 12 / 13 = Opposite / hypotentenuse
opposite = 12 12 is the second longest linehypotenuse = 13Sin(A) = 0.9231 12/13 = 0.9231
A = sin-1(0.9231) Take the inverse sine of 0.9231
A = 67 rounded
Therefore then angle opposite the shortest side must be 90 - 67 = 23
Answer: 67 and 23
a plane cuts through a cone parallel to its base. what shape is it now.
Answer:
When the plane cuts the cone at an angle between a perpendicular to the axis (which would produce a circle) and an angle parallel to the side of the cone (which would produce a parabola), the curve formed is an ellipse.
Step-by-step explanation:
MARK ME BRAINLIEST PLEASEEE I ONLY NEED 2 MORE FOR RANK VIRTUSSO
I need help with this what do these symbols mean
Answer:
the star is 4 and the moon shaped is 7
Step-by-step explanation:
the stars have to be an equal amount and 1 plus moom= the 2 stars that have the same amount
and 3+4 = 7
so if you do 7+1 = 4+4
read the picture please
Answer:
$49.90
Step-by-step explanation:
Thats what i got :)
Wow some people get PAID to babysit ?!!? XD
PLEASEEE HELPPPP !!!!!!!!!!!!!!!!!!!!
Answer:
17.35
Step-by-step explanation:
All all divide by how many there were
Answer:
17.35
Step-by-step explanation:
Find the mean by adding all the numbers up and dividing by the amount of numbers in the data set
There are 40 students in a class and 95% of these students passed their Chemistry text. What number of these students passed their test? Round you answer to the nearest whole number if necessary.
(Please answer, I will mark brainliest!)
Answer: 38 students
Step-by-step explanation:
To answer this question we will find 95% of 40. Keep in mind that a percent divided by 100 becomes a decimal.
95% / 100 = 0.95
0.95 * 40 = 38
38 students passed their test.
Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
√(12) - √(27)
[tex]\sqrt{12} - \sqrt{27}\\\\=\sqrt{4 \times 3} - \sqrt{9 \times 3}\\\\=2\sqrt 3 - 3\sqrt 3\\\\=-\sqrt 3[/tex]
Use elimination to solve the system. The solution is ( , ). 3x+1/2y=3 6x-y=2
Answer:
x=13/33 and y=12/33
Step-by-step explanation:
x=13/33 and y=12/33
find the factors of 2x^3+x^2-13x+6.
Answer: The factors would be 1 and 2.
Step-by-step explanation:
I hope that helps!! Please correct me if I am wrong and have a great day!!
solve the inequality 5(2x+8)<60
Answer:
x < 2
Step-by-step explanation:
5(2x + 8) < 60 ( divide both sides by 5 )
2x + 8 < 12 ( subtract 8 from both sides )
2x < 4 ( divide both sides by 2 )
x < 2
Answer:
[tex]\huge\boxed{\bf\:x < 2}[/tex]
Step-by-step explanation:
[tex]5(2x + 8) < 60[/tex]
Multiply 5 by 2x & 8 in the right hand side of the inequality .
[tex]5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\[/tex]
Bring 40 to the other side of the inequality .
[tex]10x + 40 < 60\\10x < 60 - 40\\10x < 20[/tex]
Bring 10 to the left side of the inequality .
[tex]10x < 20\\x < 20\div10\\\boxed{\bf\:x < 2}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
solve for w and y
w=
y=
Answer:
w = 45
y = 45
Step-by-step explanation:
im really sorry if i got it wrong i just want to help
A business may discriminate against a worker based on their nation of origin f t
Businesses are not to discriminate against their workers based on their nation of origin, but can discriminate based on age.
What is Age Discrimination for a Job ?Discrimination can simply be defined as favoring one person over another based on certain criteria or biases.
In almost all businesses, the law stipulates that certain criteria such as nation of orgin, race, disability among others should not be used against an indivdual. However, for age, certain age limit are permitted to be used by businesses to select employees.
Therefore, all business can discriminate against a worker using age.
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False:
A business may discriminate against a worker based on their nation of origin f t
No business are allowed to discriminate
From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is hollowed out. Find the volume and the whole surface of the remaining solid.
[tex](take \ \: \pi \: = 3.14) [/tex]
Step-by-step explanation:
Now, Given that:-
Diameter (d) = 10 cm
So, Radius (r) = 10/2 = 5cm
Height of the cylinder = 12cm.
[tex]volume \: of \: the \: cylinder \: = \pi {r}^{2} h[/tex]
[tex] = > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3} [/tex]
Radius of the cone = 5 cm.
Height of the cone = 12 cm.
[tex]slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} } [/tex]
[tex] = > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm[/tex]
Volume of the cone = 1/3 *πr^2h
[tex] = > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3} [/tex]
therefore, the volume of the remaining solid
[tex] = 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3} [/tex]
Curved surface of the cylinder =
[tex]2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .[/tex]
[tex]curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2} [/tex]
therefore, The whole surface area of the remaining solid
= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder
[tex] = 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2} [/tex]
Hope it helps you!!help me please, i have no idea what im supposed to be doing and my teacher isnt much help so im hoping someone else can help me
Answer:
(4, 2 ) and (2, 4 )
Step-by-step explanation:
xy = 8 → (1)
y = - x + 6 → (2)
substitute y = - x + 6 into (1)
x(- x + 6) = 8
- x² + 6x = 8 ( subtract 8 from both sides )
- x² + 6x - 8 = 0 ( multiply through by - 1 )
x² - 6x + 8 = 0 ← in standard form
(x - 4)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 2 = 0 ⇒ x = 2
substitute these values into (2) for corresponding values of y
x = 4 : y = - 4 + 6 = 2 ⇒ (4, 2 )
x = 2 : y = - 2 + 6 = 4 ⇒ (2, 4 )
Evaluate the expression below: 3 5 • 1 4
Answer:
35 x 14 = 490
Step-by-step explanation:
The sum of two numbers is 41. Double the first number reduced by triple the second
number is 12. What are the two numbers?
If you spend a spinner and toss a Penny what is the probability of getting gray and heads?
Answer:
The probability of getting gray = no. of gray shades / total
=> 2/7
The probability of getting head when we toss a penny = head / total ( head + tail )
=> 1/2
Members of a student council are designing a school float for a parade. They decide to poll 10% of the student body to get feedback about the theme they have chosen. What would most likely happen if they decided to randomly sample 5% of the student body instead? A. The sample proportion would less closely model the population proportion. B. The sample proportion would more closely model the population proportion. C. The sample proportion would not be affected. D. There is not enough information to determine how the sample proportion would be affected.
Answer:
B. The sample proportion would less closely model the population proportion.
Step-by-step explanation:
if they chose 10% and changed it to 5% theres gonna be less data to go by.
The sample proportion would less closely model the population proportion.
Option A is the correct answer.
What is random sampling?Random sampling is a statistical method of selecting a sample from a larger population in a way that every individual in the population has an equal chance of being selected.
In other words, random sampling is a process of selecting a subset of individuals from a population in which every member of the population has an equal chance of being chosen.
This helps to reduce bias and increase the likelihood that the sample represents the population accurately.
Random sampling is commonly used in research studies, opinion polls, and market research to draw conclusions about a population based on a smaller sample.
We have,
When the sample size is smaller, there is a higher chance of the sample being unrepresentative of the population, resulting in a larger sampling error.
Therefore, if the student council decided to sample only 5% of the student body instead of 10%, it is more likely that the sample proportion would be less accurate and less closely model the population proportion.
Thus,
The sample proportion would less closely model the population proportion.
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