What is the diameter of a hemisphere with a volume of 5403 ft", to the nearest tenth
of a foot?

Answers

Answer 1

The diameter of the hemisphere with the given volume is approximately: 27.4 ft.

What is the Volume of a Hemisphere?

Volume of hemisphere = 2/3πr³.

Volume of the hemisphere = 5403 ft³

2/3πr³ = 5403

Find r (radius of the hemisphere):

2πr³ = (5403)(3)

2πr³ = 16,209

r³ = 16,209/2π

r³ = 2,579.7

r = ∛2,579.7

r = 13.7 ft.

Diameter = 2r = 2(13.7)

Diameter of hemisphere = 27.4 ft

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Related Questions

Can some one help me with this question its hard :( down below ill give brainliest

Answers

The answer is letter A

Answer:

The answer is D

Step-by-step explanation:

when you are dividing two numbers with an exponent you want to subtract the exponents.

7-4 =3

a * b = 3a - 2b

2*(6*4)=

working please!!!​

Answers

Answer:

A = 4

B = 2

2* (6 * 4) = 48

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

i think the answer is 48

What is the equation for -19 = b - 6

Answers

Answer:-13=b, b=-13

Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13

Answer:

[tex]b=-13[/tex]

Step-by-step explanation:

[tex]-19 = b - 6[/tex]

Switch sides

[tex]b-6=-19[/tex]

Add 6 to both sides

[tex]b-6+6=-19+6[/tex]

Simplify

[tex]b=-13[/tex]

Find the measure of the exterior angle.

Answers

110 degrees because the other side is equal to 70° and the line is 180 so you would subtract 70 from 180 to get you 110°

[tex] \huge{ \mathfrak{ Answer }}[/tex]

Exterior angle = sum of opposite interior angles,

so,

[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]

[tex]2t + 10 = 180 - t - 20[/tex][tex]2t + t = 160 - 10[/tex][tex]3t = 150[/tex][tex]t = 50[/tex]

value of t = 50°

[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]

[tex]180 - (50 + 20)[/tex][tex]180 - 70[/tex][tex]110°[/tex]

measure of exterior angle is 110°

[tex] \normalsize{ \#TeeNForeveR}[/tex]

Find the median number: 10,7,4,12,11,5,8,13,11

Answers

Answer:

10 median number

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

So, the median is the middle number, so first we have to arrange our numbers in order:

4, 5, 7, 8, 10, 11, 11, 12, 13  

Now, as you can see, the middle number is 10

So the median of the set is 10

hope this helps:)

Sydney currently earns 11.50 an hour working part time. What is the minimum increase per hour she needs to at least match the average annual rate of inflation at three percent

Answers

Answer:

The salary of Sydney to meet the loss due to inflation should be 11.85 per hour

Step-by-step explanation:

The inflation rate is 3%

This means that the alary amount will reduce by 3%.

3% of Sydney's hourly salary is

[tex]\frac{3}{100} *11.50[/tex] = 0.345

Hence, the new salary must increase by 0.345 dollar per hour

The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85

Evaluate the expression shown below and write the answer as a fraction in simplert form.

Answers

Answer:

-8/19

Step-by-step explanation:

-11/19 + 3/19

Since the denominators are the same, we add the numerators

(-11+3) /19

-8/19

Giving brainlist to whoever answers

Answers

Answer:

b

Step-by-step explanation:

Answer:

it should be a

Step-by-step explanation:

the symbol means less than or equal to so she will have more then 120 buttions

Find the Value of x.

Answers

i got 83! hope this helps

Look at this shape:which image shows a reflection?

Answers

Answer: C

You are looking for a shape that mirrors the question. If you mirror the question, your answer will be option C.

I hope you have a great day and take mental health breaks!

The correct reflection of the given shape is shown in option (c).

What is reflection?

Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.

The given image shows the shape which is faced toward east direction, when we place a mirror in front of the shape, the reflection of the image changes in west direction.

Option (c) shows the exact reflection of the given shape.

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2x + y - z = -8
2y + 3z = -6
-1/2x + y + z = -4


For the following matrix, which of the following matrix operations would result in a11 = 1?


Multiply row 2 by -1 and add it to row 1.

Multiply row 1 by - 1/2.

Multiply row 1 by 1/2.

Multiply row 3 by -4 and add it to row 1.

(please show your solution if possible & pls just type in the comments if unsure abt your answer.. thank you)

Answers

Answer:

Multiply row 1 by [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

The augmented matrix of the system of linear equation is described below:

[tex]\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Where [tex]a_{11} = 2[/tex], if we need to create [tex]a_{11} = 1[/tex], we need to multiply row 1 by [tex]\frac{1}{2}[/tex], that is to say:

[tex]\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Hence, the correct answer is: Multiply row 1 by [tex]\frac{1}{2}[/tex].

The number (6) is what type
of number?​

Answers

Answer:

even?

Step-by-step explanation:

I dont really get it

Answer:

Natural number, Composite number, Smallest perfect number

Step-by-step explanation:

Hope this helps!

PLEASE HELPPPP ILL GIVE BRAINLIEST!!!
Dan, Anna, and Todd are walking in a city park. Each time Dan takes 3 steps, Anna takes 5 steps. Each time Anna takes 3 steps, Todd takes 5 steps. If Anna and Todd take a combined total of 400 steps, how many steps does Dan take?

Answers

Answer:

1200

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

(NO LINKS) I BEG U HALP FELLOW SMART PPL

Answers

Answer: See the image below for the filled out table.

The other root is x = -2

===========================================================

Explanation:

The turning point is at (1, -45) which is the vertex. This is where the graph goes downhill, and then turns around to go uphill, or vice versa. Depending on the direction, the vertex is the lowest point or the highest point on the parabola.

We have (h,k) = (1,-45) as the vertex, so h = 1 and k = -45

y = a(x-h)^2 + k

y = a(x-1)^2 + (-45)

y = a(x-1)^2 - 45

Now plug in any other point from the table. You cannot pick (1,-45) or else you won't be able to solve for the variable 'a'. Let's go for (0,-40)

We'll plug x = 0 and y = -40 into the equation above to solve for 'a'

y = a(x-1)^2 - 45

-40 = a(0-1)^2 - 45

-40 = a(-1)^2 - 45

-40 = a - 45

a-45 = -40

a = -40+45

a = 5

Therefore, the equation for this parabola is

y = 5(x-1)^2 - 45

As a way to check, we can plug in something like x = -3 to find that...

y = 5(x-1)^2 - 45

y = 5(-3-1)^2 - 45

y = 5(-4)^2 - 45

y = 5(16) - 45

y = 80 - 45

y = 35

Which matches what the table shows in the first column. I'll let you verify the other columns. As you can probably guess at this point, we'll plug in the x values to get the corresponding y values.

So for x = -2, we get...

y = 5(x-1)^2 - 45

y = 5(-2-1)^2 - 45

y = 5(-3)^2 - 45

y = 5(9) - 45

y = 45 - 45

y = 0

The result of 0 here indicates we have a root at x = -2. This is the other x intercept. The x intercept already given to us was x = 4.

The rest of the table is filled out using the same idea. You should get what you see below.

Please help-
Sam has 3 shirts, 3 pairs of shorts, and 2 pairs of shoes. How many possible combinations does Sam have if she wears 1 shirt, 1 pair of shorts and 1 pair of shoes at a time?

Answers

Answer:

The answer should be 18: 3 x 3 x 2

Answer:
She can do 18 combinations
Explanation:
3shirts x 2shoes = 6
3shorts x 6 previous total = 18
Giving you the answer of 18.

Write an equation of the line that contains the given points.
(-1,9), (0, -8)

Answers

Answer:

y = -17x + 10

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -8-9/0-(-1)

m= -17/1

m=-17

then use point slope formula (y-y1) =m(x-x1)

(y-9) = -17(x-(-1))

simplify

y-9 = -17x + 1

turn into slope intercept form

y = -17x + 10

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=2x-5

Step-by-step explanation:

i took algebra

Which would NOT be included on an income statement for the Best Brand Company? A. Projected Profit b. Net Sales c. Cost of Goods d. Operating Expenses Please select the best answer from the choices provided A B C D

Answers

Answer:

Option A

Step-by-step explanation:

The income statement comprises of income made in a given year.

It never gives details of the target income or the income projected.

Hence, projected profit will not be included in the income statement. Rest all other options i,e Net Sales c. Cost of Goods d. Operating Expenses are the actual income and expenditure components that are included in a income statement

Option A is correct

Answer:A

Step-by-step explanation:I just took the test

state study on labor reported that one-third of full-time teachers in the state also worked part-time at another job. For those teachers, the average number of hours worked per week at the part-time job was 13. After an increase in state teacher salaries, a random sample of 400 teachers who worked part-time at another job was selected. The average number of hours worked per week at the part-time job for the teachers in the sample was 12.5 with a standard deviation of 6.5 hours. Is there convincing statistical evidence, at the level of α=0.05, that the average number of hours worked per week at part-time jobs decreased after the salary increase?

(A) No. The p-value of the appropriate test is greater than 0.05.
(B) No. The p-value of the appropriate test is less than 0.05.
(C) Yes. The p-value of the appropriate test is greater than 0.05.
(D) Yes. The p-value of the appropriate test is less than 0.05.
(E) Not enough information is given to determine whether there is convincing statistical evidence
answer a show work, please

Answers

Answer: a) no. The p value of the appropriate test is greater than 0.05

Step-by-step explanation:

The statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

Sample size n = 400 teachers

Sample mean X = 12.5 hours

Standard deviation S = 6.5 hours

Population mean u = 13 hours

Null hypothesis H0: u = 13

Alternativ hypothesis u <13

T-test:

[tex]\rm t = \frac{x-u}{\frac{s}{\sqrt{n} } }[/tex]

[tex]\rm t = \frac{12.5-13}{\frac{6.5}{\sqrt{400} } }[/tex]

t = -1.5385

Now degree freedom df = n -1  = 400 - 1

df = 399,  α = 0.05

P-value = p[1+t<-1.5385]

P-value = 0.0624

∴ P-value is greater than α because of this the null hypothesis failed.

Thus, the statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

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Solve for a
3x - 2 = 4x + 5

Answers

Answer:

X = -7

Step-by-step explanation:

3x-2=4x+5
3x-4x=5+2
-x=7
X=-7
Explanation:
There is no a

H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ ​ 8+6x x+4 10 ​ 4x−3 ​ , , , ​ x<−7 −7≤x<−5 x≥−5 ​

Answers

Answer:

[tex]h(-6) = -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]

Required

Determine h(-6)

To do this, we make use of:

[tex]h(x) = \frac{x + 4}{10}[/tex]

Because [tex]-7 \le -6 <-5[/tex]

So, we have:

[tex]h(x) = \frac{x + 4}{10}[/tex]

[tex]h(-6) = \frac{-6 + 4}{10}[/tex]

[tex]h(-6) = \frac{-2}{10}[/tex]

Simplify

[tex]h(-6) = -\frac{1}{5}[/tex]

1. Valerie's monthly income is $300 and her monthly expenses are $250. How much money
could Valerie save in the next eight months without changing her income or expenses?

Answers

Answer:

$400

Step-by-step explanation:

PLZ HELP ME!! THE PICTURE IS BELOW!! NO LINKS!!!
Find the value for x to the nearest tenth.
Select one:
A. 6.4
B. 5.2
C. 5.8
D. 4.5

Answers

Answer:  A) 6.4

==========================================================

Explanation:

Refer to the diagram below. I've added the points A, B, C, D, and E. Point A is the center of the circle while points B, C and D are along the circle's edge. The radius AC and chord BD intersect at point E.

Recall that whenever we have a radius perpendicular to a chord like this, it means that the radius bisects the chord. So that means chord BD is cut into two equal pieces BE and ED. The diagram given to you tells us that ED = x, so BE is also x units long as well. Overall, BD = BE+ED = x+x = 2x units.

Since BE = ED, the arcs formed are congruent as well. Minor arc BC is the same measure as minor arc CD. Both are 45 degrees. They combine to 90 degrees. In turn, this leads to central angle DAB to be 90 degrees.

Note how triangle DAB is an isosceles right triangle. The two equal legs are the two radii AB and AD, both which are 9 units long. The hypotenuse BD is equal to sqrt(2) times the leg length, so BD = 9*sqrt(2) units long.

Earlier I mentioned that BD = 2x also. We'll equate the two right hand side expressions and solve for x like so:

2x = 9*sqrt(2)

x = (9*sqrt(2))/2

x = (9/2)*sqrt(2)

x = 4.5*sqrt(2)

x = 6.36396103067892

That value is approximate. Rounding to the nearest tenth leads to the final answer of 6.4; therefore, the answer is choice A.

The standard diameter of a golf ball is 42.67 mm.

A golf ball factory does quality control on the golf balls it manufactures. Golf balls are randomly measured to ensure the correct size. If the discrepancy in diameter is more than 0.004 mm, the production is stopped.

Which function could represent this situation

Answers

Answer:

The first one is the second option

The second one is the 2 and 4 options

Step-by-step explanation:

It’s right on ed

Answers:

B. (f(x) = |42.67 – x|)

B and D (42.6668 mm and 42.673 mm)

the next slide-

The parent function has a slope of 1 or -1 from any point to the vertex. In the problem, we are given the points

(–2, 3) and (–1, 0)

The slope between the two points is

m = 0 - 3 / (-1 - (-2))

m = 3

The slope is greater than 1. Therefore, the graph has been dilated by a scale factor other than 1.

For each pair of equations draw the lines for each the point of intersection represents the sol y=3x-1 y=2x

Answers

Answer:

Point of intersection is - (x, y) = (1, 2)

Step-by-step explanation:

Given - y=3x-1 y=2x

To find - For each pair of equations draw the lines for each the point of intersection represents the sol.

Proof -

Given that, the two lines are

y = 3x - 1            .........(1)

y = 2x                 .........(2)

For the intersection point, Compare the two equations (1) and (2)

By comparing, we get

3x - 1 = 2x

⇒3x - 2x - 1 = 0

⇒x - 1 = 0

⇒x = 1

Now,

Put the value of x in equation (1), we get

y = 3(1) - 1

   = 3  - 1

   = 2

⇒y = 2

∴ we get

Point of intersection is - (x, y) = (1, 2)

The graph is as follows :

I forgot how to solve multistep equations. Let me explain, I forgot how to solve the equations that are like x + 36 = 4x, I don't understand it, Help?

Answers

I think this is the answer if you follow the order of operations. X=12

Quick question if I had a problem that was sin x = 18.9/20 =.945 how would I inverse sin of both sides ?

Answers

Answer:

The result is about 70.9 degrees

Step-by-step explanation:

Easy for a calculator.  If you're not using a calculator, it's much more tedious!

There is an inverse sine key on your calculator, but you may have to press a key (likely labeled 2nd or INV) first.  The attached image shows a TI-83 display.  To get the inverse sine, I first pressed the yellow 2nd key, then the sin key.

Check MODE first to make sure you're measuring angles in degrees (if that's what you want!).  Some calculators display angle mode with a small letter at the top of the display, D, R, or G usually.

The left side of the equation produces just x.

[tex]\sin{x}=.945\\\\\sin^{-1}(\sin{x})=\sin^{-1}(.945)\\x=\sin^{-1}(.945) \approx 70.9^\circ[/tex]

Need answer ASAP, don't need explanation. Find the area of the shaded region. Those are the four options.

Answers

Answer:

All you have to do is multiply 14 by 8.

14 x 8 = 112

Step-by-step explanation:

112 is the answer :)))

HRLPPPPP IM FAILING MATHH

Answers

It’s the third one

B=50.27 cm
V=371.97

If you get $0.75 everyday for 7 years and already have $4.35 (not counting leap years) how much money would you have at the end of it all?

Answers

Step-by-step explanation:

7 years

leap years in 7 years:- 1

7 minus 1 equals to 6

6 calendar years to days:- 2190 days

so, $0.75 times 2190 = $1642.5

1642.5 plus $4.35 equals to 1646.85

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