Cash received for interest during 2014 was $3,500 .The following equation can be used to determine the amount of money received as interest in 2014:
Amount received as interest equals Interest Income for 2014 plus the decline in Interest Receivable
The difference between the balance of interest receivable at December 31, 2013, and at December 31, 2014, can be used to calculate the decline in interest receivable:
Reduced interest due = Interest due at December 31, 2013, minus Interest due at December 31, 2014, which equals $1,100 minus $1,400, or -$300.
The fact that the balance of interest receivable increased from 2013 to 2014 indicates that the company produced more interest money during the year than it received. In light of this, the money earned on interest in 2014 is:
Interest income from 2014 plus a decrease in interest receivable equals $3,200 minus (-$300) to $3,500 in interest payments received.
Hence, $3,500 is the correct response (C).
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How do I rewrite the equation y=-2x^2+8x-5
Answer:
Y= (x+4)(x+4)-21
Step-by-step explanation:
If you are factoring It out:
Y=-2x^2+8x-5 is the same as Y= (x+4)(x+4)-21
Let me know if it is incorrect!
-a friendly 8th grader
B. Solve:
1. If there are 13 yellow balls and 25 brown balls in a jar, what is the probability that Jaide will pick out a brown ball from the jar?
2. From a pack of 52 cards, a card is drawn at random. What is the probability of getting a king?
Answer:
Step-by-step:
1.The probability of picking a brown ball can be calculated as:
Probability of picking a brown ball = Number of brown balls / Total number of balls
Number of brown balls = 25
Total number of balls = 13 + 25 = 38
Probability of picking a brown ball = 25/38
Probability of picking a brown ball is approximately 0.658 or 65.8%
Therefore, the probability of Jaide picking a brown ball from the jar is approximately 0.658 or 65.8%.
2.There are four kings in a pack of 52 cards (one king for each suit). Therefore, the probability of drawing a king from a pack of 52 cards can be calculated as:
Probability of drawing a king = Number of kings / Total number of cards
Number of kings = 4
Total number of cards = 52
Probability of drawing a king = 4/52
Probability of drawing a king is approximately 0.077 or 7.7%
Therefore, the probability of getting a king when drawing a card at random from a pack of 52 cards is approximately 0.077 or 7.7%.
Suzy is shooting basketballs at Bob’s Gym. She makes 9 field goals. After 10 minutes, her friend Joshua joins her. They shoot basketballs together for another 20 minutes.
a. Write an expression for the total number of field goals Suzy and Joshua make during the 30 minutes they spend at the gym. Be sure to define the variable used in the expression.
b. Altogether, Suzy and Joshua made 27 goals. Use the expression you created to determine the number of field goals they made in the last 20 minutes. Explain your thinking.
The second term (20(S + J)) denotes the total number of field goals they both scored in the final 20 minutes.
what is expression ?An expression is a grouping of figures, symbols, and algebra (such as addition, reduction, multiply, and division) that expresses a value. Variables, that are symbols for unknowable values, are symbols that can be included in expressions. The statement can be evaluated to give a specific value after the contents of the variables are assigned. An expression using a variable x, for instance, is 3x + 5. When we give x a number of 2, the expression is evaluated to: 3(2) + 5 = 6 + 5 = 11 . As a result, the expression's value at x = 2 is 11.
given
a. Assume that "S" represents the number of field goals Suzy scores each minute and "J" represents the number of field goals Joshua scores each minute.
The calculation for the total number of field goals Suzy and Joshua score in their 30-minute workout is as follows:
[tex]Field goals total = (9 + 10 S) + (20 (S + J)[/tex]
The first term (9 + 10S) denotes Suzy's total number of field goals in the first 10 minutes, while the second term (20(S + J)) denotes the total number of field goals they both scored in the final 20 minutes.
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For three seasons each year, a travel agent accommodates a certain number of people in four different tours: Tours A, B, C and D. This is shown as matrix S below. The cost ($) per tour, and the number of brochures printed for each person’s information pack per tour, is shown below as matrix T.
How much did the travel agency make for Summer Tour B?
a. 17,325
b. 22,050
c. 26,775
d. 29,400
e. 61,200
Answer: 22,050.
Step-by-step explanation: The number of individuals who went on Summer Visit B is given within the moment push of lattice S as 150.
The fetched per individual for Summer Tour B is given within the moment push of matrix T as $145.
Hence, the whole income created from Summer Visit B is:
150 individuals × $145 per individual = $21,750
Carrington had a checking account balance of $800 at the
beginning of the month. She deposited $2,800 and used her debit
card for purchases of $310, $88, and $35.50. She also wrote
checks for $150 and $375.
What is her balance now?
Her current checking account balance is $2,641.50.
Account balance calculation.
To find Carrington's current checking account balance, we need to add up all the deposits and subtract all the withdrawals from her starting balance.
Starting balance = $800
Deposits = $2,800
Withdrawals = $310 + $88 + $35.50 + $150 + $375 = $958.50
Therefore, Carrington's current checking account balance is:
$800 + $2,800 - $958.50 = $2,641.50
Her current checking account balance is $2,641.50.
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If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, take away 1 and multiply the result by 3."
Answer:
"I think of a number, take away 1 and multiply the result by 3" can be written algebraically as:
3(x - 1)
where x is the unknown number that is being thought of.
We subtract 1 from x because the problem asks to "take away 1", and then we multiply the result by 3 because the problem asks to "multiply the result by 3".
So the expression 3(x - 1) represents the result of thinking of a number, taking away 1, and multiplying the result by 3.
What function is inverse of the exponential function y=(1. 5)^x
Answer:
[tex]y = {1.5}^{x} [/tex]
[tex] ln(y) = ln( {1.5}^{x} ) [/tex]
[tex] ln(y) = x ln(1.5) [/tex]
[tex]x = \frac{ ln(y) }{ ln(3) - ln(2) } [/tex]
[tex]y = \frac{ ln(x) }{ ln(3) - ln(2) } [/tex]
For incoming freshman at BYU, ACT scores are Normally distributed with a mean of 28 and a standard deviation of 2. How many standard deviations away from the mean is an ACT score of 31?
Answer:
To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:
z = (x - μ) / σ
Where:
x = ACT score of 31
μ = mean of ACT scores (28)
σ = standard deviation of ACT scores (2)
z = number of standard deviations away from the mean
Substituting the values, we get:
z = (31 - 28) / 2
z = 1.5
Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.
What is the area of this figure?
Enter your answer in the box.
The area of the irregular polygon is equal to 30.5 square units.
How to determine the area of a polygon
In this problem we find the representation of an irregular pentagon, that is, a polygon of five sides of different length. Whose area can be found by adding the areas of rectangles and triangles:
Rectangle
A = b · h
Triangle
A = 0.5 · b · h
Where:
A - Areab - Baseh - HeightNow we proceed to determine the area of the irregular polygon:
A = 0.5 · 1 · 4 + 0.5 · 3 · 2 + 2 · 4 + 0.5 · 3 · 2 + 3 · 4 + 0.5 · 5 · 1
A = 2 + 3 + 8 + 3 + 12 + 2.5
A = 30.5
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if a cube numbered 1 to 6 is tossed 300 times, about how many times would you predict the cube to land on a number greater than 4?
Answer: 100 times
Step-by-step explanation:
The cube is numbered 1 to 6. That is, 1, 2, 3, 4, 5, 6. That means there are 6 possible outcomes for each toss. But there are 2 outcomes we want, 5 and 6 (greater than 4).
So, for each toss, there is a probability of 2/6 = 1/3 that this will occur.
With 300 tosses, we can say that this will probably happen 300 times. This means that it will happen
1/3 * 300 times = 100 times.
Therefore, we can predict we will get a 5 or 6 about 100 times.
Write the transformation matrix and the resultant matrix that will translate the triangle, (-2, 4), given the triangles vertices are at A(-1, 3), B(0, -4) and C(3, 3).
The new vertices of the triangle after the translation are A'(-3, 7), B(-2, 0), and C(1, 7), which form the resultant matrix:
|-3 -2 1 |
| 7 0 7 |
| 1 1 1 |
Define translationIn mathematics, a translation refers to a geometric transformation that moves every point in a figure or a space by the same distance in a given direction. In other words, it involves sliding a figure or a point to a new location without changing its size, shape, or orientation.
To translate the triangle by a vector (x, y), we use the following transformation matrix:
|1 0 x|
|0 1 y|
|0 0 1|
For the given triangle with vertices at A(-1, 3), B(0, -4), and C(3, 3), let's assume we want to translate it by a vector (−2, 4). Then the transformation matrix for translation is:
|1 0 -2|
|0 1 4 |
|0 0 1 |
To apply this transformation matrix to each vertex of the triangle, we represent the vertices as column vectors and multiply them by the matrix:
| -1 | | 1 0 -2 | | -3 |
| 3 | -> | 0 1 4 | = | 7 |
| 1 | | 0 0 1 | | 1 |
| 0 | | 1 0 -2 | | -2 |
| -4 | -> | 0 1 4 | = | 0 |
| 1 | | 0 0 1 | | 1 |
| 3 | | 1 0 -2 | | 1 |
| 3 | -> | 0 1 4 | = | 7 |
| 1 | | 0 0 1 | | 1 |
So, the new vertices of the triangle after the translation are A'(-3, 7), B(-2, 0), and C(1, 7), which form the resultant matrix:
|-3 -2 1 |
| 7 0 7 |
| 1 1 1 |
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How do I go about solving this? (Teacher got sick mid-lesson & still wanted us to finish the worksheet but he never went over how to solve this kind of equation) Any kind of help is greatly appreciated.
[tex]g(a) = 4a-2\\h(a) = 3a\\Find: g(h(8))[/tex]
The composite function g(h(8)) when evaluated is 94.
Evaluating the composite functionsFrom the question, we have the following parameters that can be used in our computation:
g(a) = 4a - 2
h(a) = 3a
To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.
h(a) is defined as 3a, so h(8) = 3(8) = 24.
Now we can plug in 24 for a in g(a) and simplify:
g(a) = 4a - 2
g(h(8)) = g(24) = 4(24) - 2 = 94
Therefore, g(h(8)) = 94.
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which of the following statements is true? group of answer choices in general, it is no more difficult to solve an integer programming model than a linear programming one. all of these answers. an integer programming solution is better than the linear programming solution to the same problem rounding does not necessarily provide feasible solutions and feasible solutions from rounding are not necessarily optimal.
The true statement is that An integer programming solution can be better than the linear programming solution to the same problem. So, option(b) is right one.
In integer linear programming is harder than linear programming, because the branch-and–bound method requires many iterations of the simplex method, integer programming problems, So, option(a) is false one.
It usually takes longer than linear programming problems of the same size.Integer programming is a mathematical method that produces numerical solutions to linear programming problems.In integer programming, obtained integer solutions that should be neither feasible nor optimal. So, option(c) is also false.Hence, required answer is option(b).
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Complete question :
which of the following statements is true? group of answer choices
a) in general, it is no more difficult to solve an integer programming model than a linear programming one.
b) an integer programming solution is better than the linear programming solution to the same problem rounding does not necessarily.
c) provide feasible solutions and feasible solutions from rounding are not necessarily optimal.
d) all of these answers
Ann fills her water bottle with 1 liter of water before school. She sets a goal to drink all of the water by the end of the school day. To stay on track, she drinks the same amount of water each hour for 8 hours. How many milliliters of water does Ann drink each hour?
Ann drinks 125 milliliters of water each hour to stay on track and finish her 1-liter water bottle by the end of the school day.
To solve this problem, we first need to convert the given volume of water from liters to milliliters since milliliters are a more appropriate unit of measurement for the amount of water that Ann drinks each hour.
1 liter = 1000 milliliters
Therefore, Ann drinks 1000 milliliters of water in total for the day.
To find out how many milliliters of water Ann drinks each hour, we can divide the total amount of water by the number of hours she drinks it for.
1000 milliliters / 8 hours = 125 milliliters per hour
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a quality control inspector wants to test whether the average weight of product on the line has varied from the specified value of 16 ounces. he takes a simple random sample of 100 products and obtains a mean of 16.3 and a standard deviation of 2.5. what are the hypotheses of this test?
Answer: The hypotheses of this test are:
Null hypothesis: The average weight of the product on the line is equal to the specified value of 16 ounces.
Alternative hypothesis: The average weight of the product on the line is different from the specified value of 16 ounces.
Step-by-step explanation:
i need help with this math hw
The situation that represents a proportional relationship is " Renting a movie for $5 per day"
What is proportion relationship?Proportional relationships are relationships between two variables where their ratios are equivalent.
For example, A student reads 5 novels per 2days is a statement that shows the relationship between the Novels read and the number of days. This means that 10 novels will be read in 4 days.
In general a proportion relationship should obey,
change in y/ change in x= constant. The constant is the slope.
Therefore the statement that best explain a proportional relationship is " Renting a movie for $5 per day"
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In 2011, the total number of cars produced in the world was 59.9 million.
In 2016, the total number of cars produced in the world was 21% greater than the total
number produced in 2011
In 2016, the total number of cars produced in the world was N million.
(b) Work out the value of N.
Give your answer correct to the nearest whole number.
In 2016, the total number of cars produced in the world was 72 million (rounded to the nearest whole number) by forming linear equation.
In 2011, the total number of cars produced in the world was 59.9 million.
In 2016, the total number of cars produced in the world was 21% greater than the total number produced in 2011.
Let us say in 2016 the total number of cars produced in the world was N million.
Therefore, by expressing the given problem in a linear equation we get,
Total number produced in 2016, N = 59.9 + (21% of 59.9 ) in millions
⇒ N = 59.9 + [tex][ \frac{21}{100} ] 59.9[/tex] ( in millions )
= 59.9 + 12.579 ( in millions )
= 72.479 ( in millions )
= 72 millions ( rounded to the nearest whole number)
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what is ordinary least squares (ols) method? in order for the ols method to produce best linear unbiased estimators (blue), what assumptions must be satisfied?
Ordinary Least Squares (OLS) is a method used to estimate the parameters of a linear regression model.
In OLS, the objective is to find the line that best fits the observed data by minimizing the sum of squared residuals between the predicted values of the dependent variable and the actual values.
To produce the Best Linear Unbiased Estimators (BLUE) in OLS, the following assumptions must be satisfied:
Linearity: The relationship between the dependent variable and the independent variables must be linear.
Independence: The observations must be independent of each other.
Homoscedasticity: The variance of the residuals should be constant across all levels of the independent variables.
Normality: The residuals should be normally distributed.
No multicollinearity: The independent variables should not be highly correlated with each other.
If these assumptions are met, then OLS produces the BLUE, which means that the estimated coefficients are the best unbiased estimates of the true population parameters, and they have the smallest variance among all unbiased linear estimators.
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linda has one square rug and two identical rectangular rugs. she arranged them in two different ways and took two measurements as shown below. what is the side length of the square rug?
Answer: Let the side length of the square rug be x, and the dimensions of the rectangular rug be l and w.
In the first arrangement, the three rugs are arranged side by side, with the rectangular rugs aligned vertically and the square rug aligned horizontally. The length of this arrangement is l + 2x, and the width is w. We know that the length is 3 times the width, so we can write:
l + 2x = 3w
In the second arrangement, the two rectangular rugs are arranged side by side, with the square rug placed on top. The length of this arrangement is l, and the width is w + x. We know that the length is twice the width, so we can write:
l = 2(w + x)
We now have two equations with two unknowns, l and w:
l + 2x = 3w
l = 2(w + x)
Substituting the second equation into the first, we get:
2(w + x) + 2x = 3w
4x = w
Substituting this value of w into the second equation, we get:
l = 2(4x) = 8x
So the dimensions of the rectangular rug are 4x by x, and the dimensions of the square rug are x by x.
To find the value of x, we use the measurements given in the diagram:
l + 2x = 60
l = 36
Substituting into the equation l = 2(w + x), we get:
36 = 2(4x + x)
36 = 10x
x = 3.6
So the side length of the square rug is 3.6 feet.
Step-by-step explanation:
How do you calculate the distance traveled by an object by first calculating when it is stopped?
To calculate the distance traveled by an object by first calculating when it is stopped, you need to follow these steps:
1. Identify the terms
2. Use the given information
3. Determine when the object is stopped
4. Calculate the distance traveled
Identify the terms:
For this question, we are focusing on distance, velocity, time, and acceleration. The object is stopped when its velocity is zero.
Use the given information:
Collect any given values such as initial velocity, final velocity, time, and acceleration.
Determine when the object is stopped:
To find out when the object is stopped, you'll need to use the equation v = u + at, where v is final velocity (0 m/s when stopped), u is initial velocity, a is acceleration, and t is time.
Solve for t (time) when the object is stopped: t = (v - u) / a.
Calculate the distance traveled:
Now that you have the time when the object is stopped, use one of the equations of motion to find the distance traveled.
We can use the equation s = ut + 0.5at²,
where s is the distance, u is initial velocity, t is the time when the object is stopped, and a is acceleration.
By following these steps and using the provided terms, you'll be able to calculate the distance traveled by an object by first calculating when it is stopped.
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4. The usual 110-V household alternating current varies from -155 V
to 155 V with a frequency of 60 cycles/ sec (frequency is the
reciprocal of period). Assume the current starts at rest and then
rises.
Make a sketch of the curve.
Write an equation to describe the curve:_
Determine the value of y when t = 1/90 sec.:_
Approximate the value of t when y = 100 for the first time:_
Answer:
The equation for the alternating current can be described by: y = 155 sin(120πt)
Where y is the voltage in volts (V) and t is the time in seconds (s).
To find the value of y when t = 1/90 s:
y = 155 sin(120π(1/90))
y ≈ 30.8 V
To approximate the value of t when y = 100 V for the first time, we need to solve the equation for t:
100 = 155 sin(120πt)
sin(120πt) = 100/155
t = arcsin(100/155)/(120π)
t ≈ 0.001 s
Therefore, the value of t when y = 100 V for the first time is approximately 0.001 seconds
Developers determine the specifics of how to build a system in the _____ phase.
a. analysis
b. design
c. implementation
d. testing
Developers determine the specifics of how to build a system in the design phase. b
The design phase and its importance:
Define Objectives:
The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.
The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:
During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.
This architectural design provides a high-level view of the system's organization.
Design System Components:
With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:
The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:
The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.
Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.
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The radius of a circle is 9 inches. What is the area of the circle to the nearest tenth? Question 2 options: 28.3 square inches 56.5 square inches 224.8 square inches 254.3 square inches
The area of the circle rounded of to the nearest tenth having radius 9 inches is 254.3 square inches.
Hence option d is the correct answer.
The radius of a circle is, say r = 9 inches
The formula of calculating area of a circle is,
Area = πr² (square units)
= π(9)² square inches
= 81π square inches
Let us take π= 3.14 (approximated up to two decimal places).
Thus, area of the circle = 81(3.14) square inches = 254.34 square inches
Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.
Rounding of a number to its nearest tenth gives the original number to round of to one decimal place.
Here Area = 254.34 square inches is rounded of to the nearest tenth is 254.3 square inches, since the digit after the first decimal place of the original number is lesser than 5 then we round down the number by decreasing the previous place value digit by 1.
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HELP AGAIN LOL
Subtract.
(8h + 7) - (7h + 6)
The simplified form of the expression (8h + 7) - (7h + 6) is h + 1. We subtract this by using the distributive law.
What is an expression?An expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, etc.) that represents a mathematical quantity or value. Expressions can be simple, consisting of just a single number or variable, or they can be complex, involving multiple numbers, variables, and operations.
What is distributive law?The distributive law, also known as the distributive property or distributive property of multiplication over addition, is a fundamental property of arithmetic and algebra that allows the distribution of a multiplication operation over an addition or subtraction operation.
The distributive law states that for any three numbers a, b, and c:
a × (b + c) = (a × b) + (a × c)
According to the given information:
To subtract (8h + 7) - (7h + 6), we can use the distributive property of multiplication over addition to simplify the expression.
(8h + 7) - (7h + 6)
= 8h + 7 - 7h - 6 (Applying the distributive property)
Now, we can combine like terms by adding or subtracting coefficients of the same variable:
= (8h - 7h) + (7 - 6) (Grouping-like terms)
= h + 1 (Simplifying)
So, the simplified form of the expression (8h + 7) - (7h + 6) is h + 1.
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1/4 exponent 4 equal to in fraction form
Answer:
(1/256)
Step-by-step explanation:
[tex](\frac{1}{4})^{4} = \frac{1^{4} }{4^{4} } = \frac{1}{256}[/tex]
Using laws of exponents I distributed the exponent to the fraction and solved.
The rain gauge after a week showed that there were ten inches of rain. Every day the rain evaporated four inches but two more inches of rain was added. By what day was the rain gauge free of water?
A. day 11
B. day 10
C. day 8
D. day 7
Therefore, it takes four days for the rain gauge to be free of water. The answer is option D, day 7.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. An equation usually contains one or more variables, which are symbols that represent unknown or varying quantities. The values of the variables that satisfy the equation are called the solutions of the equation.
Here,
Let's start by finding out how much water is left in the gauge after one day of evaporation and addition. If the rain gauge had 10 inches of water at the start of the week, then after one day:
4 inches of water would have evaporated, leaving 10 - 4 = 6 inches of water.
2 more inches of rain would have fallen, bringing the total to 6 + 2 = 8 inches of water.
So after one day, the rain gauge has 8 inches of water.
Now we need to repeat this process until there is no water left in the gauge.
After the second day:
4 more inches of water would have evaporated, leaving 8 - 4 = 4 inches of water.
2 more inches of rain would have fallen, bringing the total to 4 + 2 = 6 inches of water.
After the third day:
4 more inches of water would have evaporated, leaving 6 - 4 = 2 inches of water.
2 more inches of rain would have fallen, bringing the total to 2 + 2 = 4 inches of water.
After the fourth day:
4 more inches of water would have evaporated, leaving 4 - 4 = 0 inches of water.
2 more inches of rain would have fallen, but it would not have filled the gauge since it was already empty.
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7. The formula for the volume of
a cone is given by V=1/3 pi r²h,
where r is the radius of the base
and h is the height of the cone.
Solve the formula for h. Then find
the height of a cone with a volume
of 48 cm³ and a base with a radius
of 4 cm.
The height of the cone is approximately 1.5 cm.
What is a cone?Both a cone and a cylinder have circular bottoms and are three-dimensional shapes. The lateral surfaces of the two shapes differ most noticeably from one another. A cone has a lateral surface that tapers from a point at the apex to a circular base, whereas a cylinder has a curved lateral surface that is parallel to its base. The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base and h is the height, whereas the volume of a cone is calculated using V = (1/3)πr²h.
The volume of the cone is given as:
V = (1/3)πr²h
Rearranging the equation to isolate h we get:
3V = πr²h
h = (3V)/(πr²)
Now, for volume
of 48 cm³ and a base with a radius of 4 cm we have:
h = (3(48))/(π(4)²)
h ≈ 1.5 cm
Hence, the height of the cone is approximately 1.5 cm.
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Approximate the square root to the nearest integer.
√23
The square root of the number 23 is 5 after using the division method the answer is 25.
What is a number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 23 which is a real number and positive number.
As we know we can find the square root of a positive numbers only, the square root of a negative number cannot exist
The square root of the number 23 = [tex]\sqrt{23}[/tex]
The sign √ is a radical sign.
After using the division method:
[tex]\sqrt{23} = 4.7958[/tex]
After reducing the number up to two decimal places:
[tex]= 4.79[/tex]
Rounding the above number to the whole:
[tex]= 4.79 \thickapprox 5[/tex]
[tex]5\times5 = 25[/tex]
Thus, the square root of the number 23 is 5 after using the division method the answer is 25.
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Solve the equation. Round to the nearest tenth if necessary. 196=n^2
Answer:
10
Step-by-step explanation:
It cost Chile 17. 70$ to send 177 text messages. How much would it cost to send 97 text message
The total cost of sending 97 text messages is $9.70
How to find the unit cost?A unit cost is defined as the total expenditure incurred by a specific company to produce, store, and sell one unit of a specific product or service. Unit costs are also synonymous with cost of goods sold (COGS). This accounting measure also involves all of the fixed and variable costs associated with the production of a good or service.
Now, we are told that It cost Chile 17.70$ to send 177 text messages. Thus:
Unit cost of message = 17.70/177 = $0.1 per message
Thus:
Cost of 97 text messages = 97 * 0.1 = $9.7
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