What is the volume of a sphere with a radius of 5.9 in, rounded to the nearest tenth of a cubic inch?

Answers

Answer 1

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=5.9 \end{cases}\implies V=\cfrac{4\pi (5.9)^3}{3}\implies V\approx 860.3~in^3[/tex]

Related Questions

Find the number of students that play

A basketball and football but not volleyball
B basketball only
C none
#15 play
basketball and volleybal

Answers

Answer:

#16 play basketball and football

Please solve with explanation (high points)

Answers

Answer:

see the attachment photo!

f(x)=x^5+(x+3)^2 which value completed the table

Answers

Answer:

three boys shared D 10,500.00 in the ratio 6:7:8.find the largest share.

Given a polynomial function f(x) = –x2 + 2x + 1 and an exponential function g(x) = 2x, what key features do f(x) and g(x) have in common?

A.)Both f(x) and g(x) decrease over the interval of [1 , ∞).
B.) Both f(x) and g(x) have the same range of (–∞, 2).
C.) Both f(x) and g(x) have the same x-intercept of (–1, 0).
D.)Both f(x) and g(x) have the same y-intercept of (0, 1).

Answers

The only key feature that these functions have in common is that they have the same y-intercept. So the correct option is D.

What do these functions have in common?

Here we have the functions:

[tex]f(x) = -x^2 + 2x + 1\\\\g(x) = 2^x[/tex]

f(x) is quadratic, and g(x) is exponential.

Notice that the exponential function has a positive base, so it is increasing. For the quadratic equation we can see a negative leading coefficient, so it opens downwards. So first and second options are false.

Also, g(x) never intersects the x-axis, so third option is false.

Finally, the y-intercepts of the given functions are:

[tex]f(0) = -0^2 + 2*0 + 1 = 1\\\\g(0) = 2^0 = 1[/tex]

So the y-intercepts are equal, meaning that the correct option is D.

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Answer:

Both f(x) and g(x) have the same y-intercept of (0, 1).

Step-by-step explanation:

I got it right on the test.

The diagram shows a circle inside a square (16cm)
work out the area of the circle

Answers

The area of the circle inside the square shape is 200.96 cm²

How to determine the area of the circle?

The length of the square is given as:

L = 16 cm

This represents the diamater (d) of the circle.

The area of the circle is then calculated as:

Area = π(d/2)²

This gives

Area = 3.14 * (16/2)²

Evaluate

Area = 200.96

Hence, the area of the circle is 200.96 cm²

Answers

There are no outliers in the dataset of the heights in feet of 25 trees

How to determine the presence of outliers?

The sorted dataset is given as:

25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54

Outliers are relatively far from other elements of the dataset.

The highest and the least elements are 54 and 25, respectively.

Other elements of the dataset are relatively close to these two elements

Hence, there are no outliers in the dataset of the heights in feet of 25 trees

Answers

Answer:

it costs rupee 3000 of 50 such pens

Explanation:

first, you have to multiply 50 x 60 which is 3000

second, two dozens of pens, right? so i add double 25 up which is 50 pens.

hope it helps and stay safe! (brainliest me pls)

Which equation can be used to solve for x in the following diagram.

Answers

Answer:

C. (3x+12) + x = 180

Step-by-step explanation:

the 2 angles create a straight line which is 180 degrees, so (3x+12) + x = 180

Is this sequence arithmetic? Why or why not?

11, 11, 11, 11, 11

Answers

no because it’s the same number over and over, if it were arithmetic the next number would be x added to 11 to get a2

which graph represents the linear function y=-5x+2

Answers

The answer would be the second picture. Also, if you have any questions like these you can go on desmos and put in the equation to see the answer. Hope this helps!

Now explore a few more-difficult problems.
Which of the following statements are true for all the
problems?
The first step is always to divide.
○ The last step is always to subtract.
The decimal always moves one place to the right.
The next to last step is always to multiply.

Answers

The statement that is true for all the problems is " The last step is always to subtract.". Option B. This is further explained below.

What is Arithmetic?

Generally, Arithmetic is simply defined as the area of mathematics concerned with the study and manipulation of numbers and their properties.

In conclusion, "The final step is always to subtract." is the universally true solution to the difficulties.

Answers

Answer:

She would have received $5.49 change

Answer:

$5.49 ~$5.50

Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50

translate the question into an equation. Do not solve. Let n be the unknown number. what is 1% of 77?

Answers

Answer:

1% × 77 = n

I used multiplication since "of" counts as multiplication.

2 ³✓3 × 3✓2 please answer this fast

Answers

[tex]2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24[/tex]

12.24
Hopefully this helps

Silas is researching the cost of a specific souvenir he wants to buy on his international trip. Use the table to answer the question.

Answers

Answer:

Egypt.

Step-by-step explanation:

We need to set up our conversion factors for each currency.

British Pounds and Egyptian Pounds:

0.83 £ (Europe) = 1 U.S. Dollar

18 E£ (Egypt) = 1 U.S. Dollar

Cost of a Souvenir in Europe:

The cost of souvenir in Europe is 13£. Using our conversion rate, we get

[tex]13\pounds \cdot \frac{\$1}{0.83 \pounds}=\$15.66[/tex]

Cost of a Souvenir in Egypt:

The cost of a souvenir in Egypt is 342 E£. So we have

[tex]342 \text{ E}\pounds\cdot \frac{\$1}{18 \text{ E}\pounds}=\$19[/tex]

Based on our calculations, it is cheaper to buy a souvenir in Europe than in Egypt.

Write an equation for a line perpendicular to y = − 4 x + 5 and passing through the point (-12,-4)

Answers

Answer:

[tex]y=\frac{1}{4} x-1.[/tex]

Step-by-step explanation:

1) if the lines are perpendicular, then the second slop is 0.25;

2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;

3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:

-4=-12*0.25+i; ⇔ i=-1.

4) finally, the required equation is:

[tex]y=\frac{1}{4} x-1.[/tex]

Solve 10x + 16 2 6x + 20.
A. x29
B. x=9
c. x=1
D. x21

Answers

An equation is formed of two equal expressions. The value of x for which the equation has a solution is 1.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution for 10x+16=6x+20 is,

10x + 16 = 6x + 20

10x - 6x = 20 - 16

4x = 4

x = 1

Hence, the value of x for which the equation has a solution is 1.

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I need to find values of product and quotient functions

Answers

The answers are 8 and 2

What is a function?

A function is an equation that establishes a relationship between two or more variables.

Analysis:

r(x) x s(x) = 2[tex]\sqrt{x}[/tex] x [tex]\sqrt{x}[/tex] = 2x

r2(4) = 2 x 4 = 8

r(x)/s(x) = 2[tex]\sqrt{x}[/tex]/ [tex]\sqrt{x}[/tex] = 2

In conclusion, the values of the product and quotient of the functions are 8 and 2 respectively.

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Give the standard form 80,000+200+2

Answers

Answer:

80,202 = 8.0202 × 10⁴

hope you do well in math and thx for the help

Answers

[tex]|\Omega|=12^2=144\\|A|=4^2+3^2+5^2=16+9+25=50\\\\P(A)=\dfrac{50}{144}=\dfrac{25}{72}\approx35\%[/tex]

What is the volume of this rectangular
pyramid?
3 m
4 m
Submit
5 m
cubic meters

Answers

Given:l= 5 meterb= 4 meterh= 3 meterNote that:l= length b= breadth h= height To find:

The volume of the given rectangular pyramid.

Solution:

[tex]\large\boxed{Formula:V=\frac{1}{3}lbh}[/tex]

First, multiply the length (5), breadth (4) and height (3).

[tex]5×4×3[/tex]

[tex]= 60 \: cm [/tex]

Now, divide 60 by 3.

[tex]\frac{60}{3}[/tex]

[tex]\large\boxed{V= 20 \: {m}^{3}}[/tex]

Therefore, the volume of the given rectangular pyramid is 20 cubic meters.

Which of the following rational functions is graphed below

Answers

Answer:

Step-by-step explanation:

if x≠-4, then the correct answer is

[tex]A. \ F(x)=\frac{1}{x+4}.[/tex]

A ball is thrown into the air with an initial velocity of 80 ft/sec. The height of the ball after t seconds in the air is given by h(t) = -16t? + 80t + 96. When will the ball be at its
highest point? Show all work.

Answers

Check the picture below.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+80}t\stackrel{\stackrel{c}{\downarrow }}{+96} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 80}{2(-16)}~~~~ ,~~~~ 96-\cfrac{ (80)^2}{4(-16)}\right) \implies \left( - \cfrac{ 80 }{ -32 }~~,~~96 - \cfrac{ 6400 }{ -64 } \right) \\\\\\ \left(\cfrac{5}{2}~~,~~96+100 \right)\implies \stackrel{highest~point}{\stackrel{\qquad ~~ \downarrow }{\left(2\frac{1}{2}~~,~~196 \right)}}[/tex]

Thandi has decided to make grocery combo’s for her shop. The wholesaler where she buys from, sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and there are 15 bags of rice in a carton. How many of each item should she buy so there are an equal number of packets of sugar, packets of flour and bags of rice in each combo?

Answers

Answer:

3 cartons of sugar 5 cartons of flour and 4 cartons of rice

Step-by-step explanation:

First find the least common factor being 60 then divide by the number of packets each carton comes with to find how many cartons you need of each

For the arithmetic sequence beginning with the terms (11, 17, 23, 29, 35), what is the sum of
the first 17 terms?

a.) 1116
b.) 1003
c.) 1235
d.) 896

Answers

Option B is the correct answer.

The sum of 17 terms of the given arithmetic sequence is 1003.

What is Arithmetic Sequence?

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Here, given sequence :

11, 17, 23, 29, 35, ......

first term a = 11

common difference d = 17 - 11 = 6

n = 17

Sₙ = n/2 {2a + (n-1)d}

S₁₇ = 17/2 { 2 X 11 + (17-1)X6}

S₁₇ = 17/2 { 22 + 16 X 6}

S₁₇ = 17/2 X 118

S₁₇ = 17 X 59

S₁₇ = 1003

Thus, the sum of 17 terms of the given arithmetic sequence is 1003.

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In the number 9,206.457138, what is the value of 1?

Answers

Answer:

0.0001 or 1/10000 or 1 ten thousandths

Step-by-step explanation:

The 1 is 4 places after the decimal point so has a value of :

0.0001 or 1/10000 or 1 ten thousandths

Hope this helped and have a good day

Find the distance between the points (5,0) and (-5,3)

Answers

Answer:

10.4

Step-by-step explanation:

√(5--5)²+(0-3)²

√100+9

√109=10.4

⚠️WILL GIVE BRAINLIEST⚠️Which equation represents circle N?

A.

(x + 7)2 + (y − 6)2 = 25

B.

(x − 7)2 + (y + 6)2 = 25

C.

(x + 7)2 + (y − 6)2 = 50

D.

(x − 7)2 + (y + 6)2 = 50

Answers

Answer:

your answer is option C

Step-by-step explanation:

hope you can understand

Answer:

The answer is indeed C, (x + 7)2 + (y − 6)2 = 50

Step-by-step explanation:

Got it right on edmentum/plato, the other guy is correct. Give him brainliest!

three students measured the width of the whiteboard. Reggie got 2, Jackson got 72, and Pete got 6. The teacher said they were all correct. Draw lines to match each student with the unit he was using.

Answers

Answer:

2 yards ; 6 feet ; 72 inches ;

Step-by-step explanation:

2:6:72

1:3:12

1:3 is the ratio of Yards -> Feet

3:12 is the ratio of Feet -> Inch.

6ft = Pete

2 yards = Reggie

72 inches = Jackson

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

The ratio of black bags to blue bags is 5to 3 if there are a total of 10 black bags ,then how many blue bags are there

Answers

Answer:

Step-by-step explanation:

We can think of the 10 black bags as 2 sets of 5-black bags (10 divided into groups of 5; 10 / 5 ; is 2 groups/sets). So, we would also have two sets of 3 (3 x 2 = 6), or 6 bags.

5 : 3 = 10 : 6

(multiply both numbers by 2)

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