Answer:
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
Step-by-step explanation:
Volume=576π cubic centimeters
Radius=8 cm
h=?
Her work:
Volume of a cyclinder=πr^2h
Step 1:
576π= π8^2h
Step 2:
576π = 64πh
Step 3:
576π / 64π = 64πh / 64π
Step 4:
h=9π cm
Correct workings:
Step 1:
576π= π8^2h
Step 2:
576π = 64πh
Step 3:
576π / 64π = 64πh / 64π
Step 4:
h= 9 centimeters
Her error is in step 4
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
Answer:
the error was made in step 4, should have also been cancelled making the correct answer as 9 cm.
Step-by-step explanation:
geometry pls help i will give brainliest
The line m is not parallel to line n. Hence, proved.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Given that, line m is not parallel to line n.
Prove that, ∠1 is not congruent to ∠5 by contradiction.
A by contradiction proof starts by assuming the negative of the to prove is true, then from there logically arriving at a contradiction.
So, assume ∠1 ≅ ∠5.
Those angles are corresponding angles (definition of corresponding angles when two lines are cut by a transversal)
Therefore, line m║n (when two lines are cut by a transversal such that corresponding angles are congruent, then those lines are parallel).
This contradicts the given information that line m is not parallel to line n, so the original assumption cannot be true.
Hence, it is proved.
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Si un gramo de chocolate vale$38.25¿cuánto costarán 750 gramos?
Answer:
28687.5
Step-by-step explanation:
Un gramo equivale a $38,25, por lo que si tenemos 750 de esos gramos, tendríamos que multiplicarlos para obtener el costo total.
Tasia’s bank account balance was -$25.64. She deposited a check into her bank account and her new balance is $152.29. How much was the check that Tasia deposited into her account?
Answer:
$177.93
Step-by-step explanation:
Answer:
The check is 177.93$
Step-by-step explanation:
I did 25.64+152.29= 177.93
U can check it by doing -25.64+177.93
find the area of the rectangle 3/10 ft. 3ft.
The area of the rectangle 3/10 ft. & 3ft. is 0.9 square ft .
What is Area of Rectangle ?
The shape/polygon of a rectangle is two dimensional, having four sides, four vertices, and four right angles. The rectangle's two opposing sides are equal and parallel to one another. The space a rectangle occupies is known as its area. The area of a rectangle can also be defined as the region inside its border.
According to question
Given two side of rectangle are 3/10ft and 3ft
let
The length is 3ft and 3/10ft as width
therefore
Area of rectangle = Length * width
⇒ 3ft * 3/10ft
⇒ 9/10 ft. ft
⇒ 9/10 ft²
⇒ 0.9 ft²
hence, the area of the rectangle 3/10 ft. & 3ft. is 0.9 square ft .
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You bike 5 1/2 miles from your house to a state park. You travel 1/2 of that distance in the woods. You bike along a bank of a stream for the last 1/2 of the woods. On how many miles did you bike along the bank of the stream? Write your answer as a fraction or mixed number in its simplest form.
Help me out pls i need dis :p
Answer:
glock
Step-by-step explanation:
The total distance covered by the biker will be 6¹/₂.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you bike 5¹/₂ miles from your house to a state park. You travel 1/2 of that distance in the woods. You bike along a bank of a stream for the last 1/2 of the woods.
The total distance covered by the biker will be:-
Distance = 5¹/₂ + 1/2 + 1/2
Distance = 11 / 2 + ( 1 )
Distance = ( 11 + 2 ) / 2
Distance = 13 / 2
Distance = 6¹/₂
Therefore, the total distance covered by the biker will be 6¹/₂.
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Through (5,8); slope -2
X=-2×+18
How did we get 18
Answer:
y = -2x + 18
Step-by-step explanation:
Slope m = -2 with y = 8, x = 5
y = mx + b
8 = (-2)(5) + b
8 = -10 + b
b = 8 + 10 = 18
then y = -2x + 18
When evaluting an expression, is it easier to combine terms first or substitute values first? PLSSSS ANSWERRR ILL GIVE BRAINLIEST
Answer:
What do you mean by combining terms?
If you have an equation like y=3(2+x), then you would need to substitute for x before you combined the terms "2" and "x"
Question 12: The base and height of the rhombus are given. Apply a formula to find the area of the rhombus
what is the ratio of apples to pineapples
A: 2:3
B: 3:3
C: 1:1
D: 3:1
Help me pls asap
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
A machine costing N$200 000 has effective life of 7 years and its scrap value is N$30000. What amount should the company deposit annually into a sinking fund earning 5% per annum so that it can replace the machine after its useful life? Assume that a new machine will cost N$300 000 after 7 years.
Answer: N$24,573.28
Step-by-step explanation:
The amount that the company should deposit annually into a sinking fund can be calculated using the sinking fund formula:
A = (S * i) / ((1 + i)^n - 1)
where:
A = Annual deposit
S = Future value of the machine after its useful life (i.e. cost of the new machine after 7 years) = N$300,000
i = Interest rate = 5% per annum
n = Number of years until the machine needs to be replaced = 7 years
The present value of the machine is:
PV = Cost of the machine - Scrap value
PV = N$200,000 - N$30,000
PV = N$170,000
The annual depreciation is:
Depreciation = (Cost of the machine - Scrap value) / Effective life
Depreciation = (N$200,000 - N$30,000) / 7
Depreciation = N$24,285.71
So the amount that the company should deposit annually into a sinking fund is:
A = (S * i) / ((1 + i)^n - 1)
A = (N$300,000 * 0.05) / ((1 + 0.05)^7 - 1)
A = N$24,573.28
Therefore, the company should deposit N$24,573.28 annually into a sinking fund to replace the machine after its useful life.
PLEASE HELP ME ITS DUE TODAY!!!
4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.
5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.
How to verify that RSTU is a trapezoid?In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;
RU ║ ST
Slope of side RU = Slope of side ST
Slope of RU = (y₂ - y₁)/(x₂ - x₁)
Slope of RU = (1 + 3)/(5 + 3)
Slope of RU = 4/8
Slope of RU = 0.5.
Slope of RS = (y₂ - y₁)/(x₂ - x₁)
Slope of RS = (-9 + 3)/(-4 + 3)
Slope of RS = -6/-1
Slope of RS = 6.
Slope of ST = (y₂ - y₁)/(x₂ - x₁)
Slope of ST = (-2 - 1)/(10 - 5)
Slope of ST = -3/5
Slope of ST = -0.6.
Slope of UT = (y₂ - y₁)/(x₂ - x₁)
Slope of UT = (-2 + 9)/(10 + 4)
Slope of UT = 7/14
Slope of UT = 0.5.
Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.
Question 5.
In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance RT = √[(-2 + 3)² + (10 + 3)²]
Distance RT = √170 units.
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance US = √[(5 + 4)² + (1 + 9)²]
Distance US = √181 units.
Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.
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Find the derivative, ′, of = secx/e^x.Your final answer must be fully simplified
Find the value of (f o g)' at the given value.
To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.
To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.
What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).
What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.
To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value
step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)
Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)
Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11
Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)
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Marie plants 12 packages of vegetable seeds in a community garden. Each package costs $1.97. What is the total cost of the seeds?
Answer:
$23.64
Step-by-step explanation:
12 * $1.97 = $23.64
Sally was driving her own car and collided with a pick-up truck. Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries. If her coverage was 100/300/50, what are the total medical expenses the insurance company would pay for this accident?
The insurance company would pay a total of $101,000 for the medical expenses resulting from the accident.
In this scenario, Sally's car insurance policy has coverage limits of 100/300/50. These numbers represent the maximum amount the insurance company will pay for different types of damages in an accident. Let's break down what these numbers mean in the context of the collision.
The first number, 100, represents the maximum amount (in thousands of dollars) that Sally's insurance company will pay for bodily injury per person. Since Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries, the insurance company will cover Sally's medical expenses up to the policy limit, which is $100,000.
The second number, 300, represents the maximum amount (in thousands of dollars) the insurance company will pay for bodily injury per accident. In this case, both Sally and her passenger were injured, so the insurance company will cover their combined medical expenses up to the policy limit, which is $300,000.
The third number, 50, represents the maximum amount (in thousands of dollars) the insurance company will pay for property damage per accident. However, since the question only mentions injuries and not property damage, we can disregard this number for now.
Therefore, the total medical expenses the insurance company would pay for this accident would be $100,000 for Sally's injuries and $1,000 for her passenger's injuries, totaling $101,000.
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The area of a rectangle is 16 1/3 square inches.The width is 4 2/3. Inches.Find the length
Answer:
Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:
Area = Length x Width
Substituting the given values, we get:
16 1/3 = L x 4 2/3
To solve for L, we can first convert the mixed numbers to improper fractions:
16 1/3 = 49/3
4 2/3 = 14/3
Substituting these values, we get:
49/3 = L x 14/3
To solve for L, we can multiply both sides by the reciprocal of 14/3:
49/3 ÷ 14/3 = L
Simplifying, we get:
L = 49/3 x 3/14
L = 7/1
L = 7
Therefore, the length of the rectangle is 7 inches.
Step-by-step explanation:
pls help fast!! Find the equation of a line perpendicular to 4x+3y=−24 that passes through the point (−8,3).
Answer:
y - 3 = \(\frac{3}{4}\) (x + 8)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
4x + 3y = - 24 ( subtract 4x from both sides )
3y = - 4x - 24 ( divide through by 3 )
y = - \(\frac{4}{3}\) x - 8 ← in slope- intercept form
with slope m = - \(\frac{4}{3}\)
given a line with slope m then the equation of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{4}{3} }\) = \(\frac{3}{4}\)
-------------------------------------------
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = \(\frac{3}{4}\) and (a, b ) = (- 8, 3 ) , then
y - 3 = \(\frac{3}{4}\) (x - (- 8) ) , that is
y - 3 = \(\frac{3}{4}\) (x + 8) ← equation of perpendicular line
Determine the value of x in the figure below:
x = 3
x = 1.7
x = 5
x = 4
Hello!
x = the intersection
5x + 3 = 2x + 15
5x - 2x = 15 - 3
3x = 12
x = 12/3
x = 4
Answer: X=4
Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4
f ( 1 ) =
solve f ( x ) =1:
x =
Answer:
If b=5:7, find the value of B in terms of c
Which of the following scenarios could be represented by the
inequality shown: 2.5x - 10> 45
To solve the inequality 2.5x - 10 > 45
What is Inequality?
To determine which scenarios could be represented by the inequality 2.5x - 10 > 45, we need to solve the inequality for x and analyze its meaning.
Let's solve the inequality step by step:
2.5x - 10 > 45
Add 10 to both sides:
2.5x - 10 + 10 > 45 + 10
2.5x > 55
Now, divide both sides by 2.5:
(2.5x)/2.5 > 55/2.5
x > 22
The solution to the inequality is x > 22. This means that any value of x greater than 22 would satisfy the inequality.
In terms of scenarios, here are a few examples:
This discrepancy shows that the person must have more than 22 years of experience to qualify if x is the number of years of experience needed for a certain job.This inequality shows that the corporation needs to sell more than 22 units to generate a profit larger than 45 if x is the number of units it sells.This inequality means that a person must be older than 22 years to satisfy a certain requirement if x is the individual's age.Learn more about Inequality
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A gym charges $8.75 for each swimming class and a one time registration fee of $12.50. A student paid a total of $56.25. Write and solve an equation to find the number of swimming classes the student took.
Answer:
12.50 + 8.75x = 56.25
12.50 + 8.75 (5) = 56.23
12.50 + 43.75 = 56.23
Step-by-step explanation:
Convert each rate using dimensional analysis 44yds/s=?mi/h
Using dimensional analysis we have converted 44 yards/sec = 90 miles/hour.
What is dimensional analysis?Dimensional analysis is the study of how dimensions and units of measurement affect the relationship between physical quantities.
Dimensional analysis is crucial because it maintains the consistency of the units, which facilitates accurate mathematical computation.
As we use conversion factors to obtain the same units, dimensional analysis is also known as the Factor Label Method or Unit Factor Method.
We know that 1 yards/sec = 2.04545 miles/hour
Here given that 44yds/s = ? miles/hour
Lets solve
1 yards/sec = 2.04545 miles/hour
44 yards/sec = 44 × 2.04545 miles/hour
44 yards/sec = 89.9998 miles/hour
44 yards/sec = 90 miles/hour
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Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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miguel is posting photos on school website hi has 48 photos and he followed 12 pages he whant to put the same number put of photos ,p, on each page
Answer:
4
Step-by-step explanation:
48/12=4
Answer:
12p = 48
Step-by-step explanation:
We already know Miguel has 48 photos already selected, with 12 pages to chose from. Since we want to figure out an equation for the number of photos Miguel is going to put on each page, you would have to do this: we do know the number of pages Miguel has but we don't know how many photos per page. So, you would write 12p for the unknown number of photos per page. Since he already has 48 photos and the 48 will not be affected during this equation, the answer to the equation would equal 48. So, the final answer would be 12p = 48
Five hundred students in your school took the SAT test. Assuming that a normal curve existed for your school, how many of those students scored within 2 standard deviations of the mean? (Give the percent and the number.)
In order to find the percentage of students within 2 standard deviations, let's look at the z-table for the percentages when z = -2 and z = 2.
From the z-table, we have that the percentage for z = -2 is 0.0228 and for z = 2 is 0.9772.
The percentage between z = -2 and z = 2 is given by:
\(0.9772-0.0228=0.9544\)Therefore the percentage is 95.44%.
Now, calculating the number of students within this percentage, we have:
\(500\cdot0.9544=477.2\)Rounding to the nearest whole, we have 477 students.
True or false
A credit union is an example of a service cooperative.
Answer:
false
Step-by-step explanation:
Credit Unions are not-for-profit financial service cooperatives
Consider a component that fails according to the Exponential distribution with rate 2. Failures can be of three severities 1, 2, and 3, and the failure of severity i occurs with probability Oli. The repair time for failure of severity i is exponentially distributed with rate ui. Failures of severity 1 are show stoppers, that is, the system fails completely when a failure of severity 1 occurs. On the other hand, failures of severities 2 and 3 do not completely knock out the system, and it continues to operate in a degraded mode.
a) Draw a state transition diagram that represents the failure and repair processes of the component.
b) Derive an expression for the system to be completely available.
c) Derive an expression for the system to be operating in a degraded mode.
Answer:
attached below
Step-by-step explanation:
a) Diagram of state transition representing failure and repair process of component
attached below
b) expression for the system to be completely available
attached below
c) Expression for system to be operating in a degraded mode
attached below
Please help. How can i find the volume of cylinder
THE # are the blue and grey
The volume of the cylinder would be 2120.6\(units^3.\)
To find the volume of a cylinder, you need to use the formula:
Volume = π x \(radius^2\) x height
Where π (pi) is a mathematical constant approximately equal to 3.14159, radius is the distance from the center of the cylinder to its edge, and height is the distance from one end of the cylinder to the other.
To apply this formula, you need to know the values of the radius and height of the cylinder. Once you have these values, simply substitute them into the formula and solve for the volume.
For example, if the radius of a cylinder is 5 units and the height is 27 units, the volume of the cylinder would be:
Volume = π x \(radius^2\)x height
Volume = 3.14159 x\(5^2\)x 27
Volume = 2120.6 \(units^3\)
Therefore, the volume of the cylinder would be 2120.6\(units^3.\)
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X+5 Y-6 means that the figure is
Answer:
The figure is translating right 5 and down 6
Step-by-step explanation:
X and Y both represent axis on a coordinate grid. x+5 simply means adding 5 to a value. In other words, on a coordinate grid, an increase in the value means you are going right, the lower the farther left. Same for the y axis, the higher the more you are increasing vertically, the lower the value the lower the point is.