Answer:
She forgot to include pi as a factor in the volume expression.
Step-by-step explanation:
The exact question is as follows :
Given - Mia is calculating the volume of the cylinder below using the following work.
A cylinder with height of 47 meters and diameter of 35 meters.
To find - What was Mia’s first error?
She confused the height and the diameter. She forgot to include pi as a factor in the volume expression. She applied the exponent before multiplying 17.5 and 47. She squared 17.5 instead of 35.Solution -
Given that,
Diameter of cylinder = 35 centimeter
Height of cylinder = 47 centimeter
Now,
We know that,
Volume of cylinder, V = [tex]\pi[/tex]r²h
Also,
We know, Diameter = 2×Radius
⇒Radius = Diameter ÷ 2
= 35 ÷ 2
= 17.5
⇒Radius = 17.5
SO,
The volume becomes, V = [tex]\pi[/tex](17.5)²(47)
= [tex]\pi[/tex](306.25)(47)
= 14393.75 [tex]\pi[/tex]
So,
The volume of the cylinder becomes 14393.75 [tex]\pi[/tex] m³
But
Mia calculated the Volume is 14393.75
By comparing with the actual Volume, we get
The Mia's first error is - She forgot to include pi as a factor in the volume expression.
A box contains 21 marbles of the same size. 7 of the marbles are white, 4 are black, 10 are green. If two of the marbles are randomly selected from the box, what is the probability that the first marble is white and the second is green, given that the first marble is not replaced before the second marble is selected
Answer:
7/21 x 10/20
1/3 x 1/2 = 1/6
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability of picking a white marble first = total number of white marbles / total number of marbles = 7/21
probability of picking a green marble second = total number of green marbles / total number of marbles = 10/20
7/21 x 10/20
1/3 x 1/2 = 1/6
In a completely randomized design involving three treatments, the following information is provided:Treatment 1Treatment 2Treatment 3Sample Size5105Sample Mean489The overall mean for all the treatments is _______.
Answer:
7.25
Step-by-step explanation:
Given :
___________ Sample size __ sample mean
Treatment 1 ____ 5 _______ 4
Treatment 2 ____ 10 ______ 8
Treatment 3 ____ 5 _______ 9
Sample size = (5 + 10 + 5). = 20
Overall mean = ((5*4). + (10*8) + (5*9)) / 20
Overall mean = (20 + 80 + 45) / 20
= 145 / 20
= 7.25
Determine which gym's membership grows faster from Month 2 to Month 4 by calculating the average rates of change.
Answer:
Gym A is growing faster
Gym A gained 13 members between months 2 and 4
Gym B gained 10 members between months 2 and 4
Step-by-step explanation:
Gym A: (2,20) (4,46)
rate of change = (46-20)/(4-2) = 26/2 or 13
Gym B: (2,40) (4,60)
rate of change = (60-40)/(4-2) = 20/2 or 10
True or false help pls
Answer:false
The answer is false because 1/6 is not the same as 6/12
-4 < y + 2 < -2 solve for the inequality
Answer:
-6<y<-4
Step-by-step explanation:
-4<y+2<-2
-4-2<y+2-2<-2-2
-6<y<-4
PLEASE HURRY! i’ll give brainliest
Answer:
A
Step-by-step explanation:
Add 8 from the middle row, then two from the one after that. then add the last one there and there ya go.
What is the area of this triangle
Answer:
This is kinda hard to answer, but i'm going to say the answer might be 14 cm squared.
Step-by-step explanation:
I don't have much info, but I can say that the 7 cm side can be split into 2 lengths of 5 cm, and 2 cm.
Using this i can do 5 times 4 to get 20, but sense it's a triangle, the triangle would be half of a square making it 10 cm for the left part of the triangle.
Using the knowledge of the left triangle, I can do 2 times 4, which equals 8, half of 8 cm is 4 cm, and now i can do the equation of 10 cm plus 4 cm equals the answer of 14 cm squared.
plzzzzzzzz help 18 points
Answer:
-3
Step-by-step explanation:
Answer:
the slope is 3
Step-by-step explanation:
y values increase by 3 for every increase in x by 1 as shown from the x and y axes. therefore it is 3
A living room wall is 20 feet long, and 12 feet high. How much paint do you need to cover one wall?
Answer:
240
Step-by-step explanation:
hello! i'm assuming you need to find the area, so you would need to multiply 20 and 12. Hope this helped and have a nice day/night!
- Holl ^^
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The area of the living room wall = The area of the rectangle
The amount of paint needed to cover one wall is 240 square feet.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
Example:
The area of a rectangle with length 2cm and width 3cm is 6cm².
We have,
A living room wall is 20 feet long, and 12 feet high.
The living room can be considered a rectangle.
Length = 20 feet
Width = 12 feet
The area of the living room wall = Area of a rectangle
Now,
Area of the living room wall.
= 20 x 12
= 240 square feet
Thus,
The amount of paint needed to cover one wall is 240 square feet.
Learn more about rectangles here:
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Mother has 1 kg of tomatoes.She gave 1/4 to aling nena and 3/8 to aling ana.How many kilograms of tomatoes was left to mother
Answer:
3/8 kg of tomatos
Step-by-step explanation:
1/4 * 2 = 2/8
2/8 + 3/8 = 5/8
1 - 5/8 = 3/8
The amount of tomatoes was left to the mother in kilograms will be 0.375 kilograms.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Mother has 1 kg of tomatoes.
She gave 1/4 to aling nena and 3/8 to aling ana.
Then the amount of tomatoes was left to the mother in kilograms will be
Let x be the amount of tomatoes.
x = 1 - 1 × 1/4 - 1 × 3/8
x = 1 - 0.25 - 0.375
x = 1 - 0.625
x = 0.375 kilograms
More about the Algebra link is given below.
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What expression is equivalent to 32
Answer:
8x=32
Step-by-step explanation:
Answer:
16 is the equivalent to 32
For FGH shown below, which of the following is an expression for y in terms of x?
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
y² = x² + 4²
y² = x² + 16 ( take the square root of both sides )
y = [tex]\sqrt{x^2+16}[/tex] → E
For Triangle FGH Value of y in terms of x will be [tex]\sqrt{x^2 + 16}[/tex] .
What is the Pythagorean theorem?The Pythagorean Theorem demonstrates how the side lengths of a right triangle can be calculated from the sum of the areas of three intersecting squares. This theorem is a very helpful tool that serves as the foundation for more intricate trigonometry ideas like the Pythagorean theorem's opposite.
Given, For FGH shown in figure Hyppotaneus of the triangle is y meters, the base of the triangle is x meters and the height of the triangle is 4 meters. From Pythagorean theorem
y² = x² + 4²
y² = x² + 16
y = [tex]\sqrt{x^2 + 16}[/tex]
Therefore, the Value of y in terms of x for Triangle FGH will be [tex]\sqrt{x^2 + 16}[/tex].
Learn more about the Pythagorean theorem here:
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Is this angle complementary or supplementary or neither?
Answer:
Neither
Step-by-step explanation:
142 + 56 = 198º
Complimentary = 90º
Supplementary = 180º
Neither
Answer:
Neither
Step-by-step explanation:
Complementary angle means they would add up to 90.
Supplementary angle means they would add up to 180.
142 + 56 = 198
It is neither because the angle does not equal 90 or 180.
23. A cooking teacher divides 4 pounds of flour evenly among all her students. Each student gets 1/4 pounds of flour. How many students are in the class? A. 1 B. 4 C. 16 D. 20
Please HELP ASAP
what can you say about the 9s in 59,992?
Answer:
There are 3 of them
Step-by-step explanation:
Answer:
it's in the hundredths and tens and thousandths and it's a 9 aka an upsidedown 6
Step-by-step explanation:
Si a una persona le deben 7/9 de $450000 y sólo le cancelan 3/5 de esa deuda. ¿Cuánto dinero le quedan debiendo?
Answer:
$140,000
Step-by-step explanation:
Paso 1
Si a una persona le deben 7/9 de $ 450,000
La cantidad que se le debe a la persona se calcula como:
7/9 × $ 450,000
= $ 350,000
Paso 2
Solo se cancela 3/5 de esa deuda.
El monto de la deuda que se cancela se calcula como:
3/5 × $ 350,000
= $ 210,000
Paso 3
Por lo tanto, la cantidad de dinero que debe se calcula como:
$ 350,000 - $ 210,000
= $ 140,000
(pleas help) Which statement describes the following expression? 6 x (3,117 + 724)
6 times the value of 3,117 minus 724
6 times the value of 3,117 times 724
6 times the value of 3,117 divided by 724
6 times the value of 3,117 plus 724
Answer:
6 times the value of 3,117 plus 724
Step-by-step explanation:
Hope that helps :)
Rewrite the function, differentiate, and then simplify
y= 3/√x
Answer:
-3/ (2x√x)
Step-by-step explanation:
y=3/√x
y= 3x^(-½)
y'= -3/2 x^(-3/2)
= -3 / (2x√x)
do the odd numbers please !!
Answer:
9) x= 1/2
11)= 1 2/3
13)1 1/5
15) x=2
17)x=6
19) -2 1/7
21)1/2
You can use mat hway for these alegbra qustions
Help! I don’t know what to do
Answer:
Get a ruler
Step-by-step explanation:
I can't really answer this because it's a measuring problem.
But I'll walk you through it.
First, grab your ruler. Once you have it, you're gonna measure the icon, so the square picture. Make sure you measure it in centimeters (cm). Measure EACH side. Once you have the measurement of each sides, add them up to get your perimeter. The perimeter will always be length + width + length + width.
To find the area, take your length and your width and multiply them together.
For the second problem, you're going to take your measured side and multiply EACH of them by 2.5. The scale 1 cm = 2.5 mm means that for every represented centimeter in the image, the actual image is 2.5 mm. Once you have multiplied each sides by 2.5, you're going to repeat the steps above to get the perimeter and the area.
Which table represents the statement “A car is traveling at a rate of 60 miles per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 30, 10. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60,61, 62. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 65, 70. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 120, 180. HURRY LIKE HURRY
Answer:
ITS D
Step-by-step explanation:
If ur doing the exam like me i figured it out its 4
i need help with this new one plz and thank you
Answer:
51.04
Step-by-step explanation:
My father's age 5 years ago plus twice my age now gives 65. My age 5
years ago plus three times my father's age now gives 130. What is my
father's age?
what would the volume of a sphere be with a radius of 4.6cm be?
Answer:
407.720083 cm³
Step-by-step explanation:
Volume of a sphere:
V = ([tex]\frac{4}{3}[/tex])πr³
= [tex]\frac{4}{3}[/tex] x π x (4.6)³
= 407.720083 cm³
Answer:
[tex]volume = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.146 \times {(4.6)}^{3} \\ = 408.3 \: {m}^{3} [/tex]
PLZZ HELP ILL GIVE BRAINLIEST AND DO NOT TYPE NO LINK WITH YALL LAZY AHH
Answer:
D
Step-by-step explanation:
8 is LESS THAN 1/2x
so youd take those numbers and multiply by 1/2
C, B, and A are all under 8, so that would be wrong
when you multiply 1/2 with 17, you get 8.5 which is bigger than 8. then everything else above that is more than 8, therefore D is the right answer.
Answer:
ITS IS C!
Step-by-step explanation:
Mis wants to earn 2,000 in her job at a bicycle store. She is paid $55 for each bicycle she tunes up. The minimum number of bicycles Mia needs to tune up to reach her goal of $2,500 is?
Answer:
Step-by-step explanation:
ok. you said 2000 and 2500 so I'll just solve for both.
this is very simple, mis/mia wants to earn 2000/2500 so let's solve
this can be done two ways. an equation way, or a dividing way. I personally like the dividing way.
2000 divided by 55= 36.36-- so she will have to tune up 37 bicycles
2500 divided by 55= 45.45-- so she will have to tune 46 bicycles. this is because 46 bicycles, times the amount of money == just a little over 2500 so she has reached her goal
WHAT IS THIS??????????????????????????????????????????????
A
Step-by-step explanation:
(1.7×8.0)/3.4 ×10^23-14-23
=4×10^-14
A sample of a radioactive isotope had an initial mass of 240 mg in the year 1995 and
decays exponentially over time. A measurement in the year 2000 found that the
sample's mass had decayed to 80 mg. What would be the expected mass of the
sample in the year 2006, to the nearest whole number?
Answer:
21
Step-by-step explanation:
z - 5 = 7
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
z = 12
Step-by-step explanation:
z - 5 = 7
z = 7 + 5
z = 12
hope that helped
HELPPPPPPPPP ASAPPPPPPPPPPPPPPPPPPPPPP!
Answer:
Step-by-step explanation:
1.<ABC sides=AC and BC
<DEF sides=DE and DF
2.<KLM sides=KLM
Answer:
1 side BC and DF
Side AB and EF
Side DE and AC
Angle B=F
Angle A=E
Angle C=D
2 side PN and KL
Side LM and NO
Side PO and KM
Angle P=K
Angle N=L
Angle O=M
Step-by-step explanation: