Answers
Using the volume formula, we will see that the volume of the sphere is V = 381.51 cm^3
How to get the volume of the sphere?
For a sphere of radius R, the volume is given by the formula:
[tex]V = (\frac{4}{3})*3.14*R^3[/tex]
In this case, we can see that the diameter is 9 cm, then the radius is half of that:
R = 9cm/2 = 4.5cm
Now that we know the radius, we can replace it on the volume formula to get:
[tex]V = (\frac{4}{3})*3.14*(4.5cm)^3 = 381.51 cm^3[/tex]
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Related Questions
PLEASE I NEED THIS escape room 4
Answers
The greatest possible probability in any experiment is 1 as the least possible probability in any experiment is 0.
What is probability?Probability simply means the likelihood of the occurence of an event.
In this case, the greatest possible probability in any experiment is 1 as the least possible probability in any experiment is 0.
Also, a probability around 0.5 means that the event is neither likely nor unlikely.
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A car company claimed that it improved the gas mileage of a particular model of car between 2011 and 2012. A consumer advocacy group obtains a random sample of 16 cars from 2011 and finds the average number of miles driven on exactly 25 gallons of gas in laboratory conditions is 574. 4 miles, with a standard deviation of 43. 1 miles. The consumer advocacy group also obtains a random sample of 24 cars from 2012 and finds the average number of miles driven on exactly 25 gallons of gas in laboratory
conditions is 604. 6 miles, with a standard deviation of 27. 8 miles. The 99% confidence interval for the difference in mean miles driven on 25 gallons of gas (2012 model – 2011 model) is (–3. 95, 64. 35).
Does this confidence interval support the company’s assertion that their gas mileage has increased?
a)Yes, we are 99% confident that the true mean difference in miles driven per 25 gallons is 30. 2 miles.
b)Yes, the fact that most of the values in the confidence interval are positive means that the true mean number of miles driven on 25 gallons is higher in 2012.
c)Yes, the 2012 sample mean of 604. 4 miles per 25 gallons is 30. 2 more miles than the 2011 sample mean of 574. 4, which is an increase of 1. 208 miles per gallon.
d)No, the confidence interval contains 0, so we are 99% confident that the true mean increase in number of miles driven on 25 gallons is 0.
e)No, the confidence interval contains 0, so 0 is a plausible value for the true mean increase in number of miles driven on 25 gallons. An increase of 0 would indicate the gas mileage has not increased
Answers
Using the interpretation of the confidence interval, it is found that the correct option is:
e) No, the confidence interval contains 0, so 0 is a plausible value for the true mean increase in number of miles driven on 25 gallons. An increase of 0 would indicate the gas mileage has not increased.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
In this question, the 99% confidence interval for the increase is of (-3.95, 64.35). It contains 0 and negative values, hence those are plausible values, and this is not enough evidence that the mean has increased, hence option e is correct.
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Marnie works at the guest check-in desk during nights at the Hilton Hotel in Portland, OR. She has the ability to determine how many hours she works each week. The hotel grants Marnie an increase in her hourly wage from $14 per hour to $20 per hour. How will Marnie respond
Answers
If the hotel grants Marnie an increase in her hourly wage from $14 per hour to $20 per hour. Her respond is: She will increase her work hours.
What is wages?Wages can simply be defined as the money earn per hour or money earn on a daily basis for work done.
Assuming her wages was increase from $14 per hour to $20 per hour. Marie will have to increase her work hours if the increase in wage of the amount of $20 is positive as this will enable are to earn more money .
Therefore Marnie will increase her work hours.
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A ring-toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely fill with water. The dimensions of the rectangular prism are shown in the diagram.
ring toss toy
What is the volume of the rectangular prism in cubic centimeters?
Question 10 options:
480 cm3
90 cm3
29 cm3
208 cm3
16 HITH
3
10
Answers
Answer:
the answer is = a) 480 cm³
The Courtwheys just sold their house I which was 2,400 square feet. The three equal-sized bedrooms in the house made up 1,200 square feet in the house. If each room is a square, how long and wide is each bedroom?
Answers
Answer:
20 feet
sorry!! I don't know how to explain
Find the slope of the line.
-1/3 1/3 3 -3
Answers
Answer:
the answer is c positive 3
Ramon received a $100 bill as a graduation gift. He bought a game online for $24. 95. Then he bought a backpack for $39. 75 at a variety store. How much money did he have left after making the purchases?
Answers
Answer:
$35.30
Step-by-step explanation:
24.95+39.75 because this is the money he has spent.
This, in total, will be 64.7
Lastly, the problem states that Ramon has $100 in total, so you subtract.
$100-64.7=35.3
He has $35 and 30 cents left.
Multiply each pair of factors. type the product in the space provided. (6 3i)(6 − 3i) = (4 − 5i)(4 5i) = (−3 8i)(−3 − 8i) =
Answers
The product of the factors are;
[tex]\rm(6-3i)(6+3i)=6^2+3^2=36+9 = 45\\\\ (4 -5i)(4 +5i) = 4^2+5^2=16+25=41\\\\(-3+8i)(-3-8i)=(-3)^2+8^2=9+64=73[/tex]
What is multiplication?Multiplication is the process of calculating the product of two or more numbers.
The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a multiplied by ‘b’.
The multiplication of the given factors finding by using the following formula.
[tex]\rm (a-ib)(a+ib)=a^2+b^2[/tex]
Applying the formula in the given factors;
[tex]\rm (a-ib)(a+ib)=a^2+b^2\\\\(6-3i)(6+3i)=6^2+3^2=36+9 = 45\\\\ (4 -5i)(4 +5i) = 4^2+5^2=16+25=41\\\\(-3+8i)(-3-8i)=(-3)^2+8^2=9+64=73[/tex]
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Bonnie measured an acute angle to be 146° . Bonnie’s teacher pointed out that she read the wrong set of numbers on the protractor. What is the correct angle measure for the angle Bonnie measured? Explain your reasoning.
Answers
Answer:
Step-by-step explanation:
39° cus if it's 146° in one set the other degree in other set parallel to it will be 39°
hope it helps...!!!!
At the afternoon matinee movie, 2 adult tickets and 4 child tickets cost $38, and 5 adult tickets and 2 child tickets cost $55. Which two equations can be used to determine the price of each ticket?
Answers
Answer:
for two adult and 4 children$38÷6
for five adult and two children
$55÷7
Step-by-step explanation:
they did not mansion that how much adult and children tickets cost so I thought their prizes are the same and I add the values of people and take money devide with the values of people togetherSharina simplified the expression 3(2x – 6 – x 1)2 – 2 4x. in step 1 she simplified within the parentheses. in step 2 she expanded the exponent. a table titled sharina's work with 1 column and 4 rows. the column is labeled 3(2 x minus 6 minus x 1) squared minus 2 4 x. the first row has entry 3(x minus 5) squared minus 2 4 x. the second row has entry 3(x squared minus 10 x 25) minus 2 4x. rows 3 and 4 are blank. which is a possible next step? simplify the expression by adding and subtracting from left to right. combine like terms within the parentheses. combine all x-terms. distribute the 3 to each term in the parentheses by multiplying.
Answers
The work for the possible next step which Sharina need to do is to distribute the 3 to each term in the parentheses by multiplying.
How to simplify an equation?Simplified form of a term is the simplest way of expression the term, by applying the required operations of mathematics. To simplify the equation, the BODMOS method is used.
Sharina simplified the expression 3(2x – 6 – x 1)2 – 2 4x.
Step 1- She simplified within the parentheses. Step 2-She expanded the exponent.The table of Sharina's work
[tex]3(2x -6-x +1)^2 -2+ 4x[/tex] [tex]3(x -5)^2 -2 +4x.[/tex][tex]3(x^2 - 10x +25) -2 +4x.[/tex]In this table, rows 3 and 4 are blank. The next term to be filled in the 3rd row. The equation solved by her in the second row is,
[tex]3(x^2 - 10x +25) -2 +4x.[/tex]
According to the rule of BODMAS, she first has to open the bracket by distribute the 3 to each term in the parentheses by multiplying.
Hence, the work for the possible next step which Sharina need to do is to distribute the 3 to each term in the parentheses by multiplying.
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What is the remainder of the following division problem? x startlongdivisionsymbol x 1 endlongdivisionsymbol. minus x to get a remainder of 0 1 and a quotient of 1. x 1 0 –1
Answers
The remainder of the expression x/(x + 1) is a negative one. Then the correct option is D.
What is division?The division means the separation of something into different parts, sharing of something among different people, places, etc.
The expression is given below.
[tex]\rm \rightarrow \dfrac{x}{x+1}[/tex]
Add and subtract 1 in the numerator, then we have
[tex]\rm \rightarrow \dfrac{x+1-1}{x+1}\\\rm \rightarrow 1 -\dfrac{1}{x+1}[/tex]
Then the remainder will be a negative one.
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Answer:
D) -1
Step-by-step explanation:
Use the given line of best fit to approximate the rate of change relative to the scatter plot below.
A.
-3/2 chores done/internet hour
B.
-3/4 chores done/internet hour
C.
-1/2 chores done/internet hour
D.
-1 chore done/internet hour
Answers
Answer: it’s a
Step-by-step explanation:
Answer:
its 1 chores per hour
Step-by-step explanation:
I did the study
Write an equation for the line in point-slope and slope-intercept forms.
Passes through (1, 2) and has a slope of 7.
Answers
point-slope form: y-y₁=m(x-x₁)
==========
y - 2 = 7(x-1)slope-intercept form: y = mx + b
==========
y - 2 = 7(x-1)y - 2 = 7x-7y = 7x - 7 + 2y = 7x -5Point slope is written as y - y1 = m(x -x1)
Where x1 and y1 are the given point and m is the slope:
point slope :
Y-2 = 7(x-1)
slope intercept is written as y = Mx + b where m is the slope and b is the y intercept:
musing the slope you have y = 7x + b
Now replace y and x with the given point to solve for b:
2 = 7(1) = b
2 = 7 + b
Subtract 7 from both sides to get b = -5
now replace b in the equation to get:
Y = 7x-5
A plane took 3. 55 hours to finish a journey. If the distance of
the journey was 2840 miles, at what average speed did the
plane travel?
mph
Answers
Answer:
800 mph
Step-by-step explanation:
Use the formula: Distance/Time=Speed
Distance: 2840 miles
Time: 3.55 hours
Now Divide, giving you the speed of 800 mph
Hope this helps!
which expression is equivalent to the phrase shown below the quotient of the sum of 2t and 2 and twice the cube of s
2t + 2/2s3
2t + 2/2s3
2t+2/2s3
Answers
Answer:
what is an exterior angel theorem
Patrick added 1/4 teaspoons of cayenne pepper and 1/3 teaspoons of black pepper to his enchilada sauce. What is the total amount of the two spices that Patrick added to his sauce?
Answers
Answer:
7/12
Step-by-step explanation:
You first make a common denominator. You make both the denominators 12, then make one numerator 3 and another numerator 4. Now you have an easy equation; 3/12 + 4/12, which equals to 7/12
Why are the triangles congruent?
Answers
You can prove triangles’ congruence with things called axioms (or postulates). For triangles, there are four:
(S means Side, A means Angle)
SAS
SSS
ASA
AAS
If you go round a triangle, in order (so aside, then the next angle, next side, etc.), and find that everything from one of these postulates is equal, you have two congruent triangles.
(These triangles’ sides and angles, which are marked on the image, are equal to the other’s)
This diagram shows the SAS axiom, as the equal parts of the triangle go in order of a side (Y to Z), an angle (Y to Z to X), and another side (Z to X).
Hope this helps!
Lindsay is very exited to be getting a great deal on an iPad. It was originally $500, but she will only be paying $325. What percent did she save?
heeeeeeeeeelp I'm dying.
Answers
30% of 500= 150
5% of 500= 25
30%+5%= 35%
35%=175
therefore she saves 35%
well, the original price was 500 bucks, but went down to 325, namely 500 - 325 = 175, so she'll be saving 175 bucks.
if we take 500 to be the 100%, what is 175 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 500 & 100\\ 175& x \end{array} \implies \cfrac{500}{175}=\cfrac{100}{x}\implies \cfrac{20}{7}=\cfrac{100}{x} \\\\\\ 20x=700\implies x=\cfrac{700}{20}\implies x=35[/tex]
please help i been stuck on these qustions for a long time
Answers
Answer:
Step-by-step explanation:
Every few years, Edgar's entire family gets together for a family reunion. This year, Edgar's parents are hosting, and they have to cook a lot of food to feed the crowd. Edgar has volunteered to do the most tedious job: shelling peas. There is a proportional relationship between the amount of time (in minutes) Edgar spends shelling peas, x, and the weight (in pounds) of the peas he has shelled, y.
The equation that models this relationship is y=0.5x.
How many pounds of peas does Edgar shell in 16 minutes? Write your answer as a whole number or decimal.
Answers
1. On a certain TV station, there are 4 commercials during
every 30-minute period. How many minutes of TV do you
need to watch to have watched more than 10 commercials?
2018 30 31 SW
Answers
Average minute per commercial
30/4 =7.5
For 10 commercials it will be
10*7.5 = 75 minutes
A cone has a height of 10 yards and a radius of 9 yards. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.
cubic yards
Answers
Part I: Recalling the "Volume of cone" formula
Given:
Height of cone = 10 yardsRadius of cone = 9 yardsFormula (Volume of cone):
[tex]\text{Volume of cone:} \ \dfrac{1}{3} \times \pi \times r^{2} \times h[/tex]
[Where r and h are the radius and the height respectively.]
Part II: Determining the volume of the cone
Substitute their values into the formula to determine the volume of the cone.
[tex]\implies \text{Volume of cone:} \ \dfrac{1}{3} \times \pi \times (9)^{2} \times (10)[/tex]
∴ Let π be 3.14 ∴
[tex]\implies\text{Volume of cone:} \ \dfrac{1}{3} \times 3.14 \times (9)^{2} \times (10)[/tex]
Simplify the expression to determine the volume.
[tex]\implies\text{Volume of cone:} \ \dfrac{1}{3} \times 3.14 \times 81 \times 10[/tex]
[tex]\implies\text{Volume of cone:} \ 3.14 \times 27 \times 10[/tex]
[tex]\implies\text{Volume of cone:} \ 31.4 \times 27[/tex]
[tex]\implies\text{Volume of cone} = 847.8 \ \text{yd}^{3} = \boxed{847.80 \ \text{yd}^{3}} \ \ \ \ \ \ \ \ (\text{Nearest hundredth)}[/tex]
What is the image of ( 3 , − 2 ) after a reflection over the line y = x?
Answers
Answer:
(2,-3)
Step-by-step explanation:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and the signs are changed.
(-2, 3)
Solution:Remember, when you reflect a point over the line y=x, the x- and y-coordinates switch places.So if we had a point with the following coordinates: (4, 5) and we reflected it over the line y=x, then the coordinates of the point are (5, 4)Therefore, if we take a point (3,-2) and reflect it over the line y=x, then the coordinates of the point are now (-2, 3)Hope it helps.
Do comment if you have any query.
What do you know about a quadratic equation that has the following points (2, 0) and (10, 0)?
A. The parabola must open up.
B. The parabola will have a negative y-intercept.
C. The x-coordinate of the vertex must be 6.
D. The graph must be wider than the parent function.
Answers
Answer:
C. The x-coordinate of the vertex must be 6
Step-by-step explanation:
The parabola intercepts the x-axis when y = 0.
Therefore, if the quadratic equation has the points (2, 0) and (10, 0) then the x-intercepts or "zeros" are x = 2 and x = 10.
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\sf \implies midpoint=\dfrac{2+10}{2}=6[/tex]
Therefore, the solution is option C.
Additional Information
The leading coefficient of a quadratic tells us if the parabola opens upwards or downwards:
Positive leading coefficient = parabola opens upwardsNegative leading coefficient = parabola opens downwardsWe have not been given this information and so therefore cannot determine the way in which it opens.
As we do not know the way in which way the parabola opens, we cannot determine if the parabola will have a negative or positive y-intercept.
We have not been given the full quadratic equation, and so we cannot determine if the parabola is wider (or narrower) than the parent function.
Find the quadratic equation
[tex]\\ \rm\Rrightarrow (x-2)(x-10)=y[/tex]
[tex]\\ \rm\Rrightarrow y=x(x-10)-2(x-10)[/tex]
[tex]\\ \rm\Rrightarrow y=x^2-10x-2x+20[/tex]
[tex]\\ \rm\Rrightarrow y=x^2-12x+20[/tex]
Convert to vertex form of parabola
y=a(x-h)²+k[tex]\\ \rm\Rrightarrow y=x^2-2(6x)+20+16-16[/tex]
[tex]\\ \rm\Rrightarrow y=x^2-2(6x)+36-16[/tex]
[tex]\\ \rm\Rrightarrow y=(x-6)^2-16[/tex]
Vertex(h,k)=(6,-16)Option A and C is correct
Solve the inequality:
5x−9≥11
Answers
Answer:
x is greater than or equal to 4
Step-by-step explanation:
Find the value of x.
x = [ ? ]
Answers
Answer:
x = 7Step-by-step explanation:
The altitude is parallel to the hypotenuseThe sides are in proportionSolving
8/(8 + 10) = 12/(12 + 3x - 6)8/18 = 12/(3x + 6)4/9 = 12/3(x + 2)4/9 = 4/(x + 2)x + 2 = 9x = 7A bank requires a four-digit access code for each account. the access code is generated using the digits 0–9, and the digits can be repeated. what is the probability of an access code "1234"? startfraction 1 over 10,000 endfraction startfraction 1 over 6,561 endfraction startfraction 1 over 10 endfraction two-fifths
Answers
Using it's concept, it is found that there is a [tex]\frac{1}{10000}[/tex] probability of an access code "1234".
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering that each digit has 10 possible outcomes, and there are 4 digits, the total number of outcomes is given by:
[tex]T = 10^4 = 10000[/tex].
1234 is only one access code, hence the probability is given by:
[tex]p = \frac{1}{10000}[/tex]
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Answer:
d
Step-by-step explanation:
Which column shows the individuals in the study?
Answers
Using the definition of individual in a study, it is found that they are represented in the student column.
Who is the individual in a study?It is the subject over which the study is applied, that is, the people, or the objects, that are surveyed.
In this problem, the students are surveyed to find the top vote-getter, hence the individuals are represented in the student column.
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The _____________________________________ Postulate says that If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Answers
Answer: Angle sum
Step-by-step explanation: