Find the height of a cylinder with a volume of 141cm3 and radius of 3cm. Round to the nearest tenth. Use 3.14 for .
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The volume of a cylinder is given by:
\(V=\pi\cdot r^2\cdot h\)Where:
V = Volume = 141 cm³
h = Height
r = radius = 3cm
π = 3.14
Therefore:
\(\begin{gathered} 141=3.14\cdot(3^2)\cdot h \\ 141=28.26h \end{gathered}\)Solve for h:
\(\begin{gathered} h=\frac{141}{28.26} \\ 5.0\operatorname{cm} \end{gathered}\)Related Questions
Multiply (x+y)^3. Please help
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step explanation:
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3
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3
x
2
y
+
3
x
y
2
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y
3
what is -2.8 + 0.9 - 12 - 4 simplified. if you know the answer it would help me greatly. thxs
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Answer:
-17.9
Step-by-step explanation:
A student's grades in the three tests in College Algebra are 85, 60, and 69. a) How many points does the student need on the final to average 74? b) Find part (a), assuming that the final carries double the weight. a) The student must score on the final. (Type an integer or a decimal.) b) The student must score on the final, assuming that the final carries double the weight. (Type an integer or a decimal.) A company manufactures shaving sets for $ each
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Answer:
(a) The student need 82 points on the final to average 74.
(b) The student must score 41 points on the final, assuming that the final carries double the weight.
Step-by-step explanation:
We are given that a student's grades in the three tests in College Algebra are 85, 60, and 69.
As we know that the formula for calculating the average of numbers is given by;
Average (Mean) = \(\frac{\text{Sum of all values}}{\text{Number of observations}}\)
(a) Let the points student need on the final test to average 74 be '\(x\)'.
So, Average of all four test = \(\frac{85+60+69+x}{4}\)
\(74 = \frac{85+60+69+x}{4}\)
\(74 = \frac{214+x}{4}\)
\(214+x =74 \times 4\)
\(x = 296-214\)
\(x=82\)
Hence, the student needs 82 points on the final to average 74.
(b) It is given that the final carries double the weight, this means that let the points student need on the final test to average 74 be '\(2x\)'.
So, Average of all four test = \(\frac{85+60+69+2x}{4}\)
\(74 = \frac{85+60+69+2x}{4}\)
\(74 = \frac{214+2x}{4}\)
\(214+2x =74 \times 4\)
\(2x = 296-214\)
\(x=\frac{82}{2}\) = 41
Hence, the student must score on the final 41 points, assuming that the final carries double the weight.
please open the attached image
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The function that will have a horizontal asymptotes are function B, C and D
Horizontal asymptotes of a functionA function is said to have a horizontal asymptotes of the degree of the numerator is less or equal to that of the denominator.
From the rational expression given, the function A and E wil have no horizontal asymptotes since the power of the numerator is greater abd equal to the denominator,
The function that will have a horizontal asymptotes are function B, C and D
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The graph shows the savings in Andre's bank account.
Explain what the vertical intercept represents in this situation.
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Answer:
The y-intercept represents the initial (opening) amount in Andre's bank account: $40
Step-by-step explanation:
The y-intercept represents the initial (opening) amount in Andre's bank account: $40
Answer:
The initial amount
Step-by-step explanation:
Let's find equation of line
(0,40)(4,60)Slope
\(\\ \tt\hookrightarrow m=60-40/4=5\)
Equation in point slope form
\(\\ \tt\hookrightarrow y-40=5(x)\)
\(\\ \tt\hookrightarrow y=5x+40\)
Explain how to translate the point (2,-5) west 4 units and north 2 units.
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Given the point (x, y) a translation 4 units west transforms it into (x-4, y)
Given the point (x, y) a translation 2 units north transforms it into (x, y+2)
Then, (2, -5) is transformed into (2-4, -5+2) = (-2, -3)
Which inequalities will have an open circle at -3
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Suppose f(x) = abis an exponential GROWTH function. Which function, then, represents exponential DECAY?
A)
f(x) = ab
B)
f(x) = ab*.4
C)
f(x) = a(b-1)
D)
104) = a(5
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Answer:
D
Step-by-step explanation:
Fractions are decay expressions so if we are multiplying by a fraction we will get less of an amount.
what is 2/16 as a decimal
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Rachel invests $25,000 at age 25. She hopes the investment will be worth $125,000 when she turns 50. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal? Round to the nearest tenth of a percent.
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The rate of growth will she need to achieve her goal is 2.8%
The formula for finding the compound amount is expressed as:
\(A =P(1+\frac{r}{n} )^{nt}\)
P is the amount invested = $25000
t is the time in years = 25 years
A is the amount = $125000
r is the rate in %
Substitute the given parameters into the formula to have:
\(125000 =25000(1+r )^{25}\\5 =(1+r)^{25}\\log5=25log(1+r)\\log(1+r)=\frac{log5}{25} \\log(1+r)=0.02796\\1+r = e^{0.02795}\\1+r=1.0283\\r = 1.0283 -1\\r = 0.0283\\\)
Hence the rate of growth will she need to achieve her goal is 2.8%
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John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get?
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Answer:
29 miles were used per gallon
Step-by-step explanation:
257 / 9 = 28.555..
We can round 28.555 to about 29.
So John got 29 miles per gallon.
Emily drove 936 miles in 13 hours. At the same rate, how many miles did he drive in 11 hours?
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Answer: 792 miles
Step-by-step explanation:
You want to take 936 and divide it by 13, then take the answer and multiply it by 11. The answer you get there is the answer to your question.
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
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The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
Question 1 of 12
Liam sorted music albums in his collection into three genres as shown
Genre
Rock
Country
Holiday
Count
7
3
5
Which statements identify correct ratios for the album collection Select all that apply
The ratio of holiday music albums to the entire collection is 5:10.
The ratio of rock music albums to country music albums is 7 to 3.
The ratio of rock music albums to holiday music albums is 5 to 7
The ratio of country music albums to the entire collection is 1 to 5.
There is 1 holiday music album for every 3 albums in the collection
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Answer:
Step-by-step explanation:
if trap is an isosceles trapezoid, what is the value of x?
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The value of X is 22.
What is value?Value is regard that something is held to deserve, the important worth or usefullness of something.
The calculation is as follows:
In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.
So,
6x + 2x + 4 = 180
8x + 4 = 180
8x = 176
x = 22
Therefore we can conclude that The value of X is 22.
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What is the solution set for 7x − 3 =18, given the replacement set {0, 1, 2, 3, 4}?
x = 0
x = 1
x = 2
x = 3
x = 4
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Answer:
x = 3
Step-by-step explanation:
Let's solve your equation step-by-step.
7x−3=18
Step 1: Add 3 to both sides.
7x−3+3=18+3
7x=21
Step 2: Divide both sides by 7.
7x/7 = 21/7
x=3
One label on a package of bolts says that each bolt has a diameter of 0.45 inch . To be in the package, the percent error of the diameter must be less than 7%. A test on the production line shows a bolt with a diameter of 0.42 inch. Should this bolt go into the package?
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Jaime went to the grocery store and bought a six-pack of soda for $1.50. How much did he pay for each soda in the pack?
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Answer:
Step-by-step explanation:
1.50 / 6
0.25
The following information was obtained from the accounting records of Letty Stores for the financial year ended 30 June 2021:
R
Inventory (1 July 2020)
100 000
Sales
600 000
Purchases
400 000
Sales returns
2 000
Purchases returns
3 000
Drawings: Bank
1 000
Inventory (30 June 2021)
120 000
Additional information:
1. On 29 June 2021, the owner took inventory with a cost price of R20 000 for own use. This transaction has not yet been recorded.
The entity uses the periodic inventory control system.
Required:
Use the information provided above to calculate the cost of sales for the year ended 30 June 2021.
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Answer:
333234
Step-by-step explanation:
333234$ for the next 4 years and the ecvation is 69$+-2$
The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.
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Answer:
2400
Step-by-step explanation:
x+y+z=147
x+(x+1)+(x+2)=147
3x+3=147
3x=144
x=48
The three consecutive positive numbers are 48, 49, and 50.
48 • 50 = 2400
Answer:
2400 just believe me I’m correct
7: An entrance examination for a job consists of 25% English, 30% Mathematics, 25% computer and 20% accounting, and the passing mark is 45. If an applicant sat for the examination and scored 60% in English, 35% in Mathematics, 80% in computer and 50% in Accounting, do you think she will be accepted?
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Answer: The overall score obtained is 55.5, which is higher than the passing mark of 45. Therefore, the applicant will be accepted.
Step-by-step explanation:To determine if the applicant will be accepted, we need to calculate their overall score based on the percentage weights and passing mark given for each subject.
The overall score can be calculated as follows:
Overall score = (0.25 x English score) + (0.3 x Math score) + (0.25 x Computer score) + (0.2 x Accounting score)
Substituting the given scores, we get:
Overall score = (0.25 x 60) + (0.3 x 35) + (0.25 x 80) + (0.2 x 50)
= 15 + 10.5 + 20 + 10
= 55.5
this graph shows how much money Jack spent on toys.If Jack purchase 5 toys,how much money will he spend?
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to solve it: you will have to add whatever what was on the chart. for example, on the chart if they toys were $10 each, and he bought 5 toys you would do 10+10+10+10+10=50
Evaluate: 2/3−1/7
A
11/3
B
1/4
C
11/21
D
17/21
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Answer:
option C :11/21
Step-by-step explanation:
option C is the correct answer of this question.
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Step-by-step explanation:
C is the correct answer, hope this helps and I luv ur profile pic
Cholesterol level has a Normal distribution N(170,30), find the first quartile.
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Step-by-step explanation:
In statistics, the quartile is a measurement of the spread of values within a dataset above and below the mean via a division of the distribution into four defined intervals. A quartile partitions the data at three points within the distribution.
25% of the data lies below the lower or first quartile, denoted as \(Q_{1}\).50% of the data lies below the median or second quartile, denoted as \(Q_{2}\).75% of the data lies below the upper or third quartile, denoted as \(Q_{3}\).Thus, logically, we know that the remaining 25% of the data lies above the third quartile.
As shown in the figure below, the score that defines the first quartile of the defined normal distribution is the same as the score that, when evaluated in the cumulative density function, \(\Phi\), gives 25% of the area under the bell curve.
To find this z-score, we can use the help of the NORM.INV function in Microsoft Excel, which obtains the inverse of the normal cumulative distribution and the syntax, type into a cell, is as follows:
\(=\text{NORM.INV(0.25, 170, 30)}\)
which gives you the value 149.77 (2 s.f.).
This means that 25% of the values of cholesterol levels lie below 149.77.
y = −1 / 4 (x + 4) 2 −1 on a coordinate plane using its vertex, focus, and directrix.
Answers
Answer:
Hello,
Step-by-step explanation:
do I remind you of the formula :
where (a,b) is the vertex and y=k the directrix
\(y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{(x+4)^2}{4} -1 \\\\Using\ identification:\\a=-4\\2(b-k)=-4\\b+k=-2\\\\\left\{\begin{array}{ccc}b-k&=&-2\\b+k&=&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2b&=&-4\\2k&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&-2\\k&=&0\\\end{array}\right.\\\)
Focus=(-4,-2)
Directrix: y=0
Vertex=(-4,-1)
Find the area of the shaded region.
Round to the nearest tenth.
123°
18.6 m
Area = [ ? ] m2
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A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The area of the shaded region is 226.2724 m².
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of the sector that is making a 123° angle at the centre is,
Area of the sector = π × (18.6 m)² × (123/360)
= 371.3456 m²
The area of the triangle is,
Area of the triangle = 0.5 × (18.6 m)² × (Sin 123°) = 145.0732 m²
Now, the area of the shaded region is,
Area of the shaded region = 371.3456 m² - 145.0732 m²
= 226.2724 m²
Hence, the area of the shaded region is 226.2724 m².
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![Find the area of the shaded region.Round to the nearest tenth.12318.6 mArea = [ ? ] m2](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/nSCkUj6drZiVxl9mjbb3kCXMguOAtVGK.jpeg)
Homework Problem I Need help
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Answer: 45 degrees
Step-by-step explanation:
We know that :
\(\bigstar \ \ \boxed{\sf{sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}\)
From the figure, We can notice that the side which is opposite to θ is 15 units
⇒ Opposite side = 15
We need to find the Length of Hypotenuse using Pythagorean theorem which is :
⊕ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (Hypotenuse)² = (8)² + (15)²
⇒ (Hypotenuse)² = 64 + 225
⇒ (Hypotenuse)² = 289
⇒ Hypotenuse = Square root of 289
⇒ Hypotenuse = 17
\(\sf{\implies sin\theta = \dfrac{15}{17}}\)
What is a simplified form of the expression 7x – 5(x + 1)?
Answers
Answer:2.5
Step-by-step explanation:
i hope this helps
IXL Help Fast Please !
Answers
Answer:
y=-2/5x+4/5
Step-by-step explanation:
it’s parallel so it will have the same slope
2=-2/5(-3)+4
2=6/5+4
2=1 1/5+4
2=5 1/5
5 1/5-2=3 1/5
We know this is 3 1/5 to big so we subtract it from y intercept
4-3 1/5
4/5 is the new y intercept
2=-2/5(-3)+4/5
2=6/5+4/5
2=10/5
2=2
So now the equation is true
Hopes this helps
How many peanuts would Eric need to make 5 batches of trail mix?
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hello! it would help if you gave more information so we could better answer the question ^^