Step-by-step explanation:
remember. the radius is always half the diameter.
volume of a cylinder
pi × r² × height
pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³
volume of a sphere
4/3 × pi × r³
and that volume should be the same as the cylinder. so,
4/3 × pi × r³ = pi×56.25×48
4/3 × r³ = 56.25 × 48
1/3 × r³ = 56.25 × 12
r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025
[tex]r = \sqrt[3]{2025} [/tex]
which would be 12.65148998... in.
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
Answer: it’s a
Step-by-step explanation:
Answer:
its 1 chores per hour
Step-by-step explanation:
I did the study
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.
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]
Write an equation for the line in point-slope and slope-intercept forms.
Passes through (1, 2) and has a slope of 7.
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
Find the Missing Numerator and Denominator
3/? x ?/4 = 9/20
PLEASE HELP I WILL MARK YOU AS BRAINLEST!
Answer:
missing denominator: 5
missing numerator: 3
Step-by-step explanation:
You know the product of fractions is formed by multiplying numerators and multiplying denominators.
[tex]\dfrac{3}{d}\times\dfrac{n}{4}=\dfrac{3n}{4d}=\dfrac{9}{20}[/tex]
This gives rise to two equations:
3n = 9 ⇒ n = 3
4d = 20 ⇒ d = 5
The missing denominator is 5; the missing numerator is 3.
__
[tex]\dfrac{3}{5}\times\dfrac{3}{4}=\dfrac{9}{20}[/tex]
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.
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
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]
PLEASE I NEED THIS escape room 4
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.
Learn more about probability on:
https://brainly.com/question/24756209
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
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.
Learn more about wages here:https://brainly.com/question/25863464
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
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.
More about the division link is given below.
https://brainly.com/question/369266
Answer:
D) -1
Step-by-step explanation:
Solve the inequality:
5x−9≥11
Answer:
x is greater than or equal to 4
Step-by-step explanation:
Which column shows the individuals in the study?
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.
More can be learned about the definition of individual in a study at https://brainly.com/question/24830485
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
Answer:
the answer is = a) 480 cm³
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
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
Answer:
what is an exterior angel theorem
The _____________________________________ Postulate says that If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Answer: Angle sum
Step-by-step explanation:
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.
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...!!!!
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?
Answer:
20 feet
sorry!! I don't know how to explain
Multiply each pair of factors. type the product in the space provided. (6 3i)(6 − 3i) = (4 − 5i)(4 5i) = (−3 8i)(−3 − 8i) =
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]
To know more about multiplication click the link given below.
https://brainly.com/question/13691814
need some help with the question in the image
Cheers
Find the slope of the line.
-1/3 1/3 3 -3
Answer:
the answer is c positive 3
SOLVE CORRECTLY FOR BRAINLIEST! QUESTION DISPLAYED BELOW:
Answer:
2
Step-by-step explanation:
We are given:
t = -11
u = 11
v = 1
Plug in the values to (tv-u) / tv:
((-11)(1) - 11) / (-11)1
(-11-11) / -11
-22 / -11
= 2
please answer this question
Answer:
e
Step-by-step explanation:
the coordinates of the midpoint are the average of the coordinates of the endpoints.
let coordinates of C = (x, y ) , then with A = (- 1, 2 ) calculate the average and equate to the coordinates of B (3, 2 )
[tex]\frac{x-1}{2}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )
x - 1 = 6 ( add 1 to both sides )
x = 7
and
[tex]\frac{y+2}{2}[/tex] = 2 ( multiply both sides by 2 )
y + 2 = 4 ( subtract 2 from both sides )
y = 2
coordinates of C = (7, 2 )
Find the base of a parallelogram with an area of 18 square inches and a
height of 2 inches.
Answer:
9 inches
Step-by-step explanation:
Formula: ( area of a parallelogram)
area = base × height
_______________
then
base = area/height
= 18/2
= 9
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?
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 togetherWhat 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.
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
What is the image of ( 3 , − 2 ) after a reflection over the line y = x?
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.
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
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!
please help i been stuck on these qustions for a long time
Answer:
Step-by-step explanation:
Why are the triangles congruent?
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!
Find the value of x.
x = [ ? ]
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 = 7