(a) To solve this problem, we need to apply the concept of combinations. We can find the total number of combinations by using the formula:
nCr = n! / r!(n-r)!
where n is the total number of objects, r is the number of objects we want to select.
Let's assume that we have x pennies, y nickels, z dimes, and w quarters. Since we want to select 25 coins, we can write the equation as x + y + z + w = 25
To find the number of ways to select 25 coins, we need to find the number of solutions to this equation. The total number of combinations is given by: (25 + 4 - 1)C(4 - 1) = 28C3
where we have 25 coins to select and four piles to choose from. Thus, the answer is 28C3.
(b) To solve this problem, we need to use the concept of counting with restrictions. Since we must select at least 5 quarters, we can assume that we have selected 5 quarters and we need to select the remaining 20 coins from the remaining piles. Let's assume that we have x pennies, y nickels, and z dimes. We can write it as x + y + z = 20
To find the number of ways to select 20 coins from the remaining piles, we can use the concept of combinations. The total number of combinations is (20 + 3 - 1)C(3 - 1) = 22C2
Thus, the total number of ways to select 25 coins with at least 5 quarters is given as 10C5 x 22C2
where we have selected 5 quarters from 10 quarters and 20 coins from the remaining piles.
(c)To solve this problem, we need to use the concept of counting with restrictions. Since we can select at most 10 quarters, we need to consider two cases:
(i) We select 10 quarters, and we need to select 15 coins from the remaining piles.
For case (i), we need to select 15 coins from the remaining piles. We can assume that we have x pennies, y nickels, and z dimes. We can write the equation as x + y + z = 15
The total number of ways to select 15 coins is (15 + 3 - 1)C(3 - 1) = 17C2
(ii) We select fewer than 10 quarters, and we need to select the remaining coins from the piles.
For case (ii), To calculate the number of ways, we can use the combination formula to select i quarters out of 10, where i can vary from 0 to 9, and select the remaining (25-i) coins from the remaining piles. We can then sum up the number of ways for all possible values of i to get the total number of ways to select 25 coins with at most 10 quarters.
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SHARKS The average length of a whale shark is 24.821 feet long. The average whale shark is 13.319 feet longer than the average length of a great hammerhead shark (x)? What is the average length of a great hammerhead shark?
Answer:
11.502
Step-by-step explanation:
Halp me this question
Answer:
3 + 7 = 10
Step-by-step explanation:
I hope this answers your question. :)
Answer: 3+7=10
Step-by-step explanation:
maybe this is it but this question is really unclear
Solve the following quadratic equation for all values of x in simplest form. 2 ( x+ 8 ) ^2 + 9 =29
Answer:
x = -8 + sqrt(10) and x = -8 - sqrt(10)
Step-by-step explanation:
The quadratic equation to be solved is:
2(x + 8)² + 9 = 29
First, we need to simplify the left-hand side of the equation by expanding the squared term:
2(x + 8)(x + 8) + 9 = 29
Simplifying further, we get:
2(x² + 16x + 64) + 9 = 29
Distributing the 2, we get:
2x² + 32x + 128 + 9 = 29
Combining like terms, we get:
2x² + 32x + 137 = 29
Subtracting 29 from both sides, we get:
2x² + 32x + 108 = 0
Dividing both sides by 2, we get:
x² + 16x + 54 = 0
We can solve this quadratic equation by factoring or by using the quadratic formula :
The equation presented is a quadratic equation in standard form, ax² + bx + c = 0, where a = 1, b = 16, and c = 54. To solve this equation, we can use the quadratic formula, x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in the values, we get x = (-16 ± sqrt(16² - 4(1)(54))) / 2(1) = (-16 ± sqrt(16)) / 2 or (-16 ± 2sqrt(10)) / 2. Simplifying, we get x = -8 ± sqrt(10). Therefore, the two solutions to this equation are x = -8 + sqrt(10) and x = -8 - sqrt(10).
a. What are the coordinates of the reflected point?
b. Reflect the coordinate points from 3(a) over the y-axis
What are the coordinates of the reflected point?
Answer: Part A is (-9, 13) Part B is (9, 13)
Step-by-step explanation:
find the surface area of a rectangular prism if the width is 4 cm, the length is 4 cm, and the height is 15 cm
Hence, the rectangular prism has a surface area of 272 square centimetres.
what is surface area ?For instance, by multiplying the length and breadth of a rectangle, the area of the shape can be determined. Pi (roughly 3.14), multiplied by the square root of the radius, can be used to get a circle's area. Calculating the size of numerous forms and figures, including triangles, circles, squares, and polygons, involves the usage of area, a key topic in geometry. The size of a piece of land, a building's floor area, or the surface of such an object are just a few examples of the many real-world uses for it.
given
We must add up the areas of all six faces of a rectangular prism in order to determine its surface area.
In this instance, the dimensions are as follows: width (w), length (l), and height (h), all in centimetres.
You can compute the surface area (A) as follows:
A = lw + lh + lw
Inputting the values provided yields:
A is equal to 2 (4 x 4 cm) + 2 (4 x 15 cm) + 2. (4 cm x 15 cm)
[tex]A=32 cm^2 + 120 cm^2 + 120 cm^2[/tex]
A = 272 cm²
Hence, the rectangular prism has a surface area of 272 square centimetres.
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If my x-axis has a period of pi on a cosine graph, what should I label it as? Just "Time" or are there units?
Answer:
Step-by-step explanation:
I do believe you should most definitly add units
Hypothesis Testing Using a P-Value Signature Assignment #2
Roller Coasters. The heights in feet of 36 randomly selected top-rated roller coasters are listed. Assume the population standard deviation is 71.6 feet. At a = 0.05, is there enough evidence to reject the claim that the mean height of top- rated roller coasters is 160 feet? (Source: POP World Media, LLC)
325 188 306 107 208 167 105 78 140 232 230 170 170 205 305 135 200 200 100 223 135 195 80 90 120 210 82 161 245 88 70 116 121 146 149 124
1. Express the null and alternative hypothesis in words and as mathematical expressions. Identify which one is the claim?
2. Compute the sample mean and test statistic z. Write out the formulas and show your work. Round off to two decimal places. (EQS)
3. Compute the p value and explain how it was found. (Round off two decimal places.)
4. Describe whether to reject or fail to reject the null hypothesis and explain the decision.
5. Interpret the decision in the context of the original claim. (Critical thinking)
6. In three to five sentence explain how and why hypothesis testing is used. Give an example (Communication)
Null hypothesis: The mean height of top-rated roller coasters is 160 feet (H0: u = 160).
Solution to the aforementioned questions1) Null hypothesis: The mean height of top-rated roller coasters is 160 feet (H0: u = 160). Alternative hypothesis: The mean height of top-rated roller coasters is not 160 feet (Ha: u ≠ 160). The claim is the null hypothesis.
2) Sample mean = (325+188+306+107+208+167+105+78+140+232+230+170+170+205+305+135+200+200+100+223+135+195+80+90+120+210+82+161+245+88+70+116+121+146+149+124)/36 = 164.97 feet. The test statistic z = (x - μ) / (σ / √n) = (164.97 - 160) / (71.6 / √36) = 1.21.
3) The p-value is the probability of observing a test statistic as extreme as the one computed from the sample, assuming the null hypothesis is true. Using a standard normal distribution table, the p-value is 0.1131.
4) At α = 0.05, the p-value (0.1131) is greater than a. Therefore, we fail to reject the null hypothesis.
5) Based on the statistical analysis, we do not have sufficient evidence to reject the claim that the mean height of top-rated roller coasters is 160 feet.
6) Hypothesis testing is a statistical method used to make decisions based on the analysis of sample data. It is used to determine whether a claim or hypothesis about a population is supported by the evidence provided by the sample data.
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PLEASE ANSWER ASAP
IT WOULD BE HELPFUL
The volume of the solid figure bis 1465. 33 in³
How to determine the volumeThe formula for the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters are;
V is the volume of the cylinderr is the radius of the cylinderh is the height of the cylinderFrom the information given, we have;
Volume = 3.14 × 4² × 18
Multiply the values
Volume = 904. 32 in²
Volume of the smaller cylinder
Volume = 3.1 4 × 4 × 18
Volume = 226. 08 in³
Volume of a cone = πr²h/3 = 3.14 × 8² × 5/3
Multiply the values
Volume = 334. 93 in³
Then, the volume of the solid = 904. 32 + 226. 08 + 334. 93 = 1465. 33 in³
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Describe the distribution in terms of magnitude, degree, and direction of skewness.
Skewness measures the magnitude, degree, and direction of asymmetry in a distribution. It is an important tool for describing and understanding the shape of data distributions.
Skewness is a measure of the asymmetry of a distribution. It is a statistical measure that indicates the degree to which a distribution deviates from the symmetry of a normal distribution. Skewness can be either positive or negative, or it can be zero, indicating no skewness.
Magnitude, The magnitude of skewness is determined by the degree of asymmetry in the distribution. The larger the magnitude of skewness, the more asymmetrical the distribution is. A small magnitude indicates a distribution that is close to symmetric.
Degree, The degree of skewness is the extent to which the distribution deviates from symmetry. Positive skewness indicates a distribution with a longer right tail than left, while negative skewness indicates a distribution with a longer left tail than right.
Direction, The direction of skewness is the direction of the longer tail of the distribution. If the tail is to the right, the distribution is positively skewed, and if the tail is to the left, the distribution is negatively skewed.
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A 6-sided number cube with sides labeled 1,2,3,4,5 is rolled 50 times what a good protection is
A good prediction for the number of times a 5 will be rolled out of 50 rolls of a 6-sided number cube is 8 times.
Assuming the number cube is fair and each outcome has an equal probability of occurring, we can use the concept of probability to make a prediction for the number of times a 5 will be rolled.
Since there are six possible outcomes, each with a probability of 1/6, the expected frequency of rolling a 5 in one roll is:
1/6 x 50 = 8.33
This means that if the number cube is rolled 50 times, we would expect to see a 5 appear approximately 8.33 times. However, since we cannot roll a fraction of a time, we need to round this number to the nearest whole number.
Rounding 8.33 to the nearest whole number, we get:
8
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Complete question is:
A 6-sided number cube with sides labeled 1,2,3,4,5, and 6 is rolled 50 times. What is a good prediction for the number of times a 5 will be rolled?
Someone please help me it due in 2 hours!
The estimated probability that the golfer will hit at least 4 times in his next 10 attempts is approximately 40%. So correct option is B.
Describe probability ?Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurrence. It involves quantifying the chance or likelihood of an event happening, and it is expressed as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain to happen.
Probability is often used in real-world situations to predict the likelihood of future events, make informed decisions, and understand patterns in data. It has many applications in various fields such as finance, physics, biology, and engineering.
To simulate the situation, we can use the table of random numbers to generate 10 digits, and count the number of times a digit is less than or equal to 3, which represents a hit for the golfer.
Using the table, we get the following sequence of digits:
26 53 48 69 55 23 44 72 89 55
Counting the number of hits, we get 4 hits out of 10 attempts. Therefore, the estimated probability that the golfer will hit at least 4 times in his next 10 attempts is approximately 40%.
So, the answer is B. Possible answer: 40%.
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In the month January, sarah drove her car 3,219.2 miles. That brought the car’s total mileage to 65,470.5 miles how many were on the car before January?
the nurse researcher is reading about multiple regression. what is multiple regression? a. method of predicting a continuous independent variable on the basis of two or more predictor variables b. method of predicting a continuous dependent variable on the basis of two or more independent variables c. make predictions about the values of two variables based on values of a third and fourth variables d. make predictions about the values of one continuous variable based on values of a second variable
Method of predicting a continuous dependent variable on the basis of two or more independent variables. The correct answer is (b)
What is Multiple regression ?Multiple regression is a statistical technique used to examine the relationship between a single dependent variable and multiple independent variables.
It is a type of regression analysis that can help to identify which independent variables are related to the dependent variable and to what extent.
The goal of multiple regression is to create a model that can be used to predict the value of the dependent variable based on the values of the independent variables.
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s^2-11s
Find the solution set for this equation and separate the two values with a comma
The solution set for this equation S^2-11s can be expressed as 0, 11.
How can the values for the equation be determined?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and so on. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.
Given that S^2-11s, which can be written as S^2-11s = 0 We can factor the expression on the left-hand side to get:
S(S-11) = 0
Then this equation is satisfied when either S = 0 or S-11 = 0. Thus, the solution set is: S = {0, 11}
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A student is graduating from college in 12 months but will need a loan in the amount of $10,720 for the last two semesters. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are: Unsubsidized Stafford Loan: annual interest rate of 5.95%, compounded monthly, and a payment grace period of six months from time of graduation PLUS loan: annual interest rate of 6.55%, compounded monthly, with a balance of $11,443.63 at graduation Which loan will have a lower balance, and by how much, at the time of repayment? The Stafford loan will have a lower balance by $485.06 at the time of repayment. The PLUS loan will have a lower balance by $485.06 at the time of repayment. The Stafford loan will have a lower balance by $274.54 at the time of repayment. The PLUS loan will have a lower balance by $274.54 at the time of repayment.
The loan that will have a lower balance and the amount is D. The Stafford loan will have a lower balance by $274.54 at the time of repayment.
How to find the balance ?First, find the future balance of the PLUS Loan by the formula :
= Principal x ( 1 + monthly interest rate ) ^ number of months
= $ 11, 443.63 x ( 1 + 0. 005458 ) ⁶
= $ 11, 443.99
Then, find the future balance of the unsubsidized Stafford Loan with the same formula :
= 10, 720 x (1 + 0. 004958) ¹⁸
= $ 11, 169.46
This shows that the unsubsidized Stafford Loan would have a lower balance and the difference would be :
= $11, 443.99 - $11, 169.46
= $ 274.54
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Rectangular prism a measures 3 inches by 4 inches by 8 inches. Rectangular prism b measures 5 inches by 5 inches by 6 inches. A before doing any calculations predict which prism has greater surface area to volume ratio. B. Calculate the surface area volume, and surface area to volume ratio for each prism
Before doing calculations we can predict rectangular prism A has greater surface area to volume ratio than that of rectangular prism B.
The surface area of rectangular prism A is 136 square inches and that of B is 170 square inches. And the ratio of surface area to volume of rectangular prism A is 1.4167 square inches/ cubic inches (approximately) and that of B is 1.1334 square inches/ cubic inches (approximately).
Rectangular prism A has dimension as,
length = 3 inches , breadth = 4 inches and height = 8 inches
Rectangular prism B has dimension as,
length = 5 inches , breadth = 5 inches and height = 6 inches
The surface area of rectangular prism can be calculated using the formula = 2( length*breadth + length*height + height*breadth)
Therefore, surface area of rectangular prism A = 2{ (3*4) + (3*8) + (4*8)} square inches =136 square inches (that is, 136 [tex]inches^{2}[/tex])
Surface area of rectangular prism B = 2{ (5*5) + (5*6) + (5*6)} square inches =170 square inches (that is, 170 [tex]inches^{2}[/tex])
The volume of rectangular prism can be calculated using the formula = length * breadth * height (in cubic unit)
Therefore, volume of rectangular prism A = (3)(4)(8) cubic inches =96 cubic inches (that is, 96 [tex]inches^{3}[/tex] )
Volume of rectangular prism B = (5)(5)(6) cubic inches =150 cubic inches (that is, 150 [tex]inches^{3}\\[/tex] )
Therefore, ratio of surface area to volume of rectangular prism A = (136/96) square inches/ cubic inches = 1.4167 square inches/ cubic inches (approximately)
Ratio of surface area to volume of rectangular prism B = (170/150) square inches/ cubic inches = 1.1334 square inches/ cubic inches (approximately)
Thus, ratio of surface area to volume of rectangular prism A is greater than that of rectangular prism B.
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jeremy can solve a rubik's cube in 4minutes. michael is very fast and can solve 5 cubes in 12 minutes. working together what is the fewest number of minutes it will take for them to solve 10 cubes?
The fewest number of minutes it will take Jeremy and Michael to solve 10 Rubik's cube is 16 with a speed such that Jeremy solve one in 4 minutes and Michael solves 5 in 12 minutes.
To solve the following word problem,
Time taken by Jeremy to solve one cube = 4 minutes = 240 seconds
Time taken by Michael to solve 5 cubes = 12 minutes
Time taken by Michael to solve 1 cube = [tex]\frac{12}{5}[/tex] minutes = 144 seconds
Since one solves the cube alone, they do it individually,
For the first 12 minutes, Michael solves 5 cubes and Jeremy solves 3 cubes ([tex]\frac{12}{3}[/tex])
Then, to solve 2 or more cubes Michael takes 288 seconds
And if Michael and Jeremy each solve one cube it takes them 144 seconds and 240 seconds respectively.
Therefore, the second situation is responsible for solving in the least time which comes out to be 12 minutes + 4 minutes (240 seconds) is 16 minutes.
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Can you give me a hand with this. I am very confuesd how to do this and would like to know how also involving the answer would be amazing
The probability of not getting a purple after turning the spinner would be = 0.75
How to calculate the probability of not getting a purple?To calculate the probability of the given sample;
= possible outcome/sample space
where;
possible outcome = 3
sample space = 4
Probability = 3/4 = 0.75
Therefore, the probability of not getting a purple colour would be = 0.75
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Cylinder M and cylinder N are similar. The radius of cylinder N is equal to its height, and the ratio of the height of cylinder N to the height of cylinder M is 5: 3. The surface area of cylinder N is 256m square feet greater than the surface area of cylinder M. Find the surface area of each cylinder,
The surface area of cylinder M is approximately 184.85 square feet, and the surface area of cylinder N is approximately 401.92 square feet.
How do we find the surface area of both cylinders?Let r_N and h_N be the radius and height of cylinder N, and r_M and h_M be the radius and height of cylinder M. We are given that the radius of cylinder N is equal to its height (rN = hN), and the ratio of the height of cylinder N to the height of cylinder M is 5 : 3.
So, we can write:
hN = rN
hN / hM = 5 / 3
The surface area formulas for cylinders M and N:
Surface Area (M) = 2πr_MhM + 2πr_M^2
Surface Area (N) = 2πrNhN + 2πrN^2
If Surface Area (N) = Surface Area (M) + 256
∴ 2πrNhN + 2πrN^2 = 2πrMhM + 2πrM^2 + 256
Combine like terms:
4πrN^2 = 2πrMhM + 2πrM^2 + 256
Divide both sides by 2π:
2rN^2 = rMhM + rM^2 + 128/π
Since hN = rN, we can write:
hM = (3/5)rN
Now substitute hM into equation
2rN^2 = rM((3/5)rN) + rM^2 + 128/π
2rN^2 = (3/5)rN x ((3/5)rN) + ((3/5)rN)^2 + 128/π
= 2rN^2 = (9/25)rN^2 + (9/25)rN^2 + 128/π
= 2rN^2 = (18/25)rN^2 + 128/π
rN = 5.64, hN = 5.64,
rM = 5.64 x (3/5) = 3.38
rM = 3.38.
let's calculate the surface areas:
Surface Area (M) = 2π(3.38)(3.38) + 2π(3.38)^2 ≈ 71.15 + 113.70 ≈ 184.85 square feet
Surface Area (N) = 2π(5.64)(5.64) + 2π(5.64)^2 ≈ 200.96 + 200.96 ≈ 401.92 square feet
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Answer this question and I will give u brainlst.
*There are 6 steps to this problem.
its 12.67 because like look at it this way
how to solve this equation
-4x - 5 - 11x= 40
Answer:
x = -3
Step-by-step explanation:
[tex]-4x-5-11x=40\\-15x=40+5[/tex]
[tex]x=\frac{45}{-15}[/tex]
[tex]x=-3[/tex]
Hope this helps.
what percentage of those states do NOT use coal ?
Answer:
62.5%
Step-by-step explanation:
The number of states do not use nuclear: 20 + 12 = 32
The number of states that do not use nuclear and use coal: 20
so 20/32 = 5/8 = 62.5%
Luis leases a BMW for 4 years at $475.86 a month. What total will he spend on his lease?
Answer: Luis will spend a total of $22,868.48 on his lease.
Step-by-step explanation: To calculate the total cost of Luis's lease, we need to multiply the monthly cost by the number of months in the lease:
Total cost = monthly cost x number of months
The number of months in 4 years is 4 x 12 = 48 months.
Therefore, the total cost of Luis's lease is:
Total cost = $475.86/month x 48 months
Total cost = $22,868.48
So Luis will spend a total of $22,868.48 on his lease.
What is the area of this square?
Answer: 81mi^2
Step-by-step explanation:
Area Formula for Square: side * side
9*9 = 81
use strong induction to show that any counting number can be written as the sum of distinct powers of 2.
Any counting number can be written as the sum of distinct powers of 2.(proved).
What is counting number?
Counting numbers are nothing but the natural numbers that can be used for counting. The numbers start from 1 and the series continues as 1, 2, 3, 4, 5, 6,-- and so on. Zero can not be included in counting numbers because we cannot count 0.
To prove this statement we have to consider two cases.
Let, n be any counting number or natural number. Then the power of 2 can be written as 2ⁿ.
n can be even or odd.
n=1:
If n=1 then it can be written as 2⁰
Let us assume that for n≤ k that n can be written as the sum of distinct powers of 2.
Now let us take, n= k+1.
Here one case is n is odd.
Then n≤ k+1
so, n-1≤ k
By the induction hypothesis n-1 can be written as distinct power of 2.
n is the sum of these distinct powers of 2 as well 2⁰, which is not among them. as n-1 is even.
Now if n is even,
so n=2m (say) for m≤ k
Thus, by the induction hypothesis m can be written as distinct power of 2.
If for each power of 2 in this sum , increment the exponent by 1 then the resulting sum of distinct powers of 2 equals n= 2m
Hence, the statement is true.
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steps for u-sub w/ definite integrals
Here are the general steps for using the u-substitution method to evaluate a definite integral:
1. Identify a part of the integrand that looks like the derivative of another function.
This is usually denoted as u, and u should be a function that is easy to integrate.
2. Replace the selected part of the integrand with u. In other words, substitute u for the expression inside the integral.
3. Take the derivative of u with respect to the variable of integration, and then multiply by dx to obtain du.
4. Replace dx with the expression in terms of du, using the relationship you found in step 3.
5. Rewrite the entire integral in terms of u and du, and simplify as much as possible.
6. Evaluate the integral using u and the limits of integration. Replace u with the original expression, and then evaluate the expression at the upper and lower limits of integration.
7. Substitute the values obtained in step 6 into the original equation to get the final answer.
The u-substitution method is a powerful technique for evaluating definite integrals.
The general idea behind the u-substitution method is to replace a complicated expression inside the integral with a simpler expression, which is equal to the original expression.
Here are the general steps for using the u-substitution method to evaluate a definite integral:
Let's take an example to illustrate these steps:
Evaluate the definite integral ∫[tex](2x + 1)^(3/2) dx from x = 1 to x = 2.[/tex]
Let u = 2x + 1.
Replace 2x + 1 with u in the integral to get ∫[tex]u^{3/2} dx.[/tex]
Take the derivative of u with respect to x to get du/dx = 2, and then multiply by dx to obtain du = 2dx.
Replace dx with 1/2 du.
Rewrite the entire integral in terms of u and du to get ∫[tex]u^{3/2} (1/2) du.[/tex]
Evaluate the integral using u and the limits of integration to get (2/5) [tex]u^{5/2}[/tex] from 3 to 5.
Substitute the values obtained in step 6 into the original equation to get the final answer, which is[tex](2/5) [(5^{5/2}- 3^{5/2}].[/tex]
Therefore, the value of the definite integral ∫[tex](2x + 1)^{3/2}[/tex]dx from x = 1 to x = 2 is approximately 6.243.
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Which question requires gathering numerical data?
A
What are my favorite TV shows?
B.
How many goldfish are in the pet store?
What breeds of dogs are in the dog show?
D. What are the seven tallest mountains in the world?
The side lengths of a triangle are 3 meters,4 meters, and 5 meters, Suppose the side lengths are multiplied by 4. Describe the change in the perimeter
The change in the perimeter is:
= 36m
The side lengths of a triangle are 3 meters,4 meters, and 5 meters.
We have to find the perimeter of the triangle.
Now,
Perimeter of a triangle is sum of all sides.
We have the side's length are:
[tex]P_1[/tex] = 3 + 4 + 5 = 12 meters.
Now, In the second case we have to multiplied the side length by 4.
Side's length are:
3 = 3 × 4 = 12
4 = 4 × 4 = 16
5 = 4 × 5 = 20
Perimeter of a triangle is sum of all sides.
[tex]P_2[/tex] = 12 + 16 + 20
[tex]P_2[/tex] = 48 meters
Now, the change in the perimeter is:
[tex]P_2 - P_1[/tex] = 48 - 12 = 36m
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naya starts a job earning 85,000 a year each year her salary increases by 3% of her salary the previous year. she works at the job for 5 years. how much money did naya earn in the 5 years?
Naya earns a total of $98538.30 in the 5th year
How much money did naya earn in the 5 years?Naya starts with a salary of $85,000 per year, and her salary increases by 3% each year.
So, her salary in year 5 will be:
Salary = Initial salary * (1 + rate)^5
So, we have
Salary = 85000* (1 + 3%)^5
Evaluate
Salary = 98538.30
Hence, the 5th year earnings is 98538.30
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The formula =C6*D6 would be found in which cell of this spreadsheet?
The formula C6*D6 can be found in the cell E6. Option A is the correct answer.
What is cell in a spreadsheet?A spreadsheet cell is a square region in a grid that can hold text, numbers, or formulas as well as other types of data. A unique cell address, which comprises of a column letter and a row number, is used to identify each cell. For instance, cell C4 is the cell in the third column and fourth row, and cell A1 is the top-left cell in the spreadsheet. Users can enter data, format cells, and use formulas to conduct calculations on the cells in a spreadsheet, among other tasks.
The formula C6*D6 can be found in the cell E6. Option A is the correct answer.
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