Find the perimeter of a square if the length of its diagonal is 18 inches. Round to the nearest tenth.
Answers
hope this helps !!
Related Questions
Colin buys a tv for £800. It depreciates at a rate of 4% per year. How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate
Answers
Answer:
£707.8
Step-by-step explanation:
Given data
Price= £800
Rate= 4%
Time= 3 years
Let us apply the compounding formula
A=P(1-r)^r-------------Note the negative sign is because of depreciation
substitute
A= 800(1-0.04)^3
A= 800(0.96)^3
A=800*0.884736
A= £707.8
Hence the value will be £707.8
One equation in a system of equations with no solution is 3x + 4y = 24.
Which equation could be the second equation in the system?
A) −9x − 12y = −72
B) 3x + 4y = 12
C) −3x − 4y = −24
D) 3x + 4y = 24
Answers
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
use either substitution, elimination, or smthn else.
you need to solve each equation by taking 3x + 4y = 24 with each of the following equations and seeing which equation along with 3x + 4y = 24 gives you no solution/an untrue statement.
Bill is building boxes of different
sizes. The supplies are limited. He
restricts the volume of each box to
at most 3.5 ft3 and the base area
to exactly 2.5 ft?. Find the range of
possible box heights, h.
Answers
The range of possible box heights, h, is from 0 to 1.4 ft.
Let's assume that the height of the box is h feet, then the volume of the box can be given as V = 2.5h. Since the maximum volume is restricted to 3.5 ft^3, we can write:
2.5h ≤ 3.5
h ≤ 1.4
Therefore, the maximum height of the box is 1.4 ft.
To find the minimum height, we need to consider the base area of the box, which is 2.5 ft^2. Let's assume the base has a length l and width w. Since the area is fixed at 2.5 ft^2, we can write:
l × w = 2.5
We need to minimize the height of the box, so we need to maximize the length and width of the base. Since the base area is fixed, the maximum length and width will occur when l = w = √2.5 ft (square root of 2.5).
Therefore, the minimum height of the box can be found as:
h = V/(lw) = 2.5/(√2.5)^2 = 2.5/2.5 = 1 ft.
Thus, the range of possible box heights, h, is from 0 to 1.4 ft.
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PLEASE HELP
Which is rational?
A. 3
B. 33π
C. 3√3
D. −3π
Answers
A Web music store offers two versions of a popular song. The size of the standard version is 2.2 megabytes (MB). The size of the high-quality version is 4.7 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2784 MB. How many downloads of the standard version were there?
Answers
Answer:
2.2 MB the side of the nigh
Researchers try to gain insight into the characteristics of a ______ population by examining a of the population. Select one:
a. Description
b. Model
c. Replica
d. Sample
Answers
Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.
A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.
The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.
By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.
Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.
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In each of the following situations, data are obtained by conducting a statistical study. Classify each statistical study as experimental or correlational. For a sample of college students using the ATM in the campus center, data are collected on the dollar amount withdrawn._____
Answers
The given statistical study - "For a sample of college students using the ATM in the campus center, data are collected on the dollar amount withdrawn" is a correlational study.
What is a correlational study? Correlational study is a research design that helps to measure and describe the relationship between variables without the researcher influencing or manipulating any variables. Correlation allows researchers to test how variables are related to one another, providing a way to find new relationships, understand phenomena, and make predictions.
Classify each statistical study as experimental or correlational. According to the given problem, data are collected on the dollar amount withdrawn for a sample of college students using the ATM in the campus center. As there is no manipulation of variables involved and no control group is assigned, this is a correlational study.
Therefore, the given statistical study - "For a sample of college students using the ATM in the campus center, data are collected on the dollar amount withdrawn" is a correlational study.
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A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar
tube made from a similar piece of card with an area of 500 cm³?
Answers
The length of the similar tube will be 5041 cm.
What is the area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that:-
A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar?Tube made from a similar piece of card with an area of 500square centimetres.The radius of the first tube will be calculated as:-
1200 = 2πr ( 13 )
r = 12 / 2π x 113
r = 14.7 cm
Now the length of the second tube will be:-
500 = 2π x 14.7 x L
L = 500 / 2π x 14.7
L = 5.41 cm.
Therefore the length of a similar tube will be 5041 cm.
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If you write every whole number from I to
100. how many times will you write the digit
"2"?
Answers
Answer:
20 times
Step-by-step explanation:
Digit 2 appears 20 times in first 100 natural numbers
Weather There are 2.25 times as many days
of fog per year in Vancouver as in Winnipeg.
The total number of days of fog in both cities is
65. How many days of fog does Winnipeg have
per year.
Answers
in metroville 600 total number of residents injured from roller-skating 1,800 total number of deaths from roller-skating 90 total number of deaths from all causes 900 the crude death rate for all causes was:
Answers
The crude death rate for all causes in Metroville is 1 per 1,000 residents if the total number of deaths from all causes is 900.
total number of residents injured from roller-skating = 1,800
total number of deaths = 90
deaths from all causes = 900
Therefore, we can set up a proportion:
90 deaths / x residents = 1,000 deaths per 1,000 residents
x = 90,000 / 1,000
x = 90
The total population of Metroville is 90,000 residents.
The crude death rate for all causes is then:
Crude death rate = (total number of deaths / total population) * 1,000
Crude death rate = \((90 / 90,000) * 1,000\)
Crude death rate = 1 per 1,000 residents
Therefore, we can conclude that the crude death rate for all causes in Metroville is 1 per 1,000 residents.
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Which of these is the best estimate four 370% of 30?
Answers
Answer:
greater than 3·30
370%=3.7
3.7×30= 111
3×30=90
111>90
I hope this helps:
2. Order the following numbers from least to
Greatest.
82%, 17/25,8.5,8/5
Answers
Judy charged $800 worth of furniture using noninstallment credit since her tax refund is due shortly. If she intends to pay off the entire amount of her purchase, how much will she have to come up with if her refund is $535?
Answers
If Judy's refund is $535, to pay for furniture worth $800, she will have to come up with $265, which is the difference.
What is the difference?The difference is the result of the subtraction operation.
The subtraction operation is one of the four basic mathematical operations.
Subtraction operations involve the minuend, subtrahend, the subtraction operator (-), the difference, and the equal symbol (=).
The cost of furniture = $800
Expected credit refund = $535
The difference between the cost and refund = $265 ($800 - $535)
Thus, Judy will bring $265 to make up for the purchase of the furniture.
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At the end of each month, Bianca deposits $100 into an account with an interest rate of 4.25%, compounded monthly. If no money is withdrawn from the account, what will her balance be after 5 years?
Answers
Answer:
123.630189899 or A. $1,257.72
Step-by-step explanation:
\(\frac{4.25}{100}=0.0425\\ 100(1 + \frac{0.0425}{12})^{12(5)} \\= 123.630189899\)
Two numbers each with two decimd
places round to 312 to one decima
place. The total of the numbers is
62.4, What could the numbers be?
You need to be clear on their understands
of rounding and what it means when f
Says two numbers each with two
decimal places, for example, they may
choose 3121+ 3419 both of which
round
to 31.2 when rounded to
I decimal place.
Fows on knowing that when rounding.
it is
Can they find all of these using
Systematic approach.
Answers
It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.
To solve this problem systematically, we can break it down into smaller steps:
Let's assume the two numbers are x and y, both with two decimal places.
We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.
Rounding x and y to one decimal place gives us the following equations:
Round(x) = a.b ≈ 312
Round(y) = c.d ≈ 312
Since the total of the numbers is 62.4, we have the equation:
x + y = a.b + c.d
= 62.4
From Step 2, we know that both a.b and c.d are approximately equal to 312.
So, we can write:
a.b ≈ 312
c.d ≈ 312
Since a.b and c.d are rounded to one decimal place, we can rewrite them as:
a.b = 312 + p
c.d = 312 + q
p and q are the decimal parts that were rounded.
Substituting the new representations of a.b and c.d into the equation from Step 3, we get:
(312 + p) + (312 + q) = 62.4
Simplifying the equation gives us:
624 + (p + q) = 62.4
Solving for (p + q), we have:
p + q = 62.4 - 624
= -561.6
Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.
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a city has a population of people. suppose that each year the population grows by . what will the population be after years? use the calculator provided and round your answer to the nearest whole number.
Answers
After six years, the population will grow to 586,455 if compounded annually at a rate of 7.5%.
This is exactly like a compound interest problem where the interest rate is 7.5% compounded annually for 6 years.
If we use the compound interest formula A = P(1+r/n)nt where A is the end amount to be found, p = initial amount (p= 380,000), n = number of times the interest is compounded annually (n= 1) and t is the time in years (t=6)
A = 380,000(1 + .075/1)1(6)
A = 380,000(1.075)6
A = 586,454.58 people
Rounded to the nearest whole number
the population after 6 years should be
586,455 people
Hence we get the required answer.
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Your question is incomplete. Please find the missing content below.
A city has a population of 380,000 people. suppost that each year the population grows by 7.5%. what will be the population after 6 years.
find the area of the surface. the part of the surface z = 5 5x 3y2 that lies above the triangle with vertices (0, 0), (0, 1), (2, 1).
Answers
To find the area of the surface z = 5 + 5x + 3y^2 above the triangle with vertices (0, 0), (0, 1), and (2, 1), we need to use the surface integral formula.
First, calculate the partial derivatives with respect to x and y:
∂z/∂x = 5
∂z/∂y = 6y
Now, compute the magnitudes of the cross product of the gradient vectors:
|∂z/∂x × ∂z/∂y| = √((5^2) + (6y)^2) = √(25 + 36y^2)
The area of the surface can be found using the double integral of the magnitudes over the triangle:
Area = ∬(√(25 + 36y^2)) dA
We'll use the triangle's vertices to set the integration limits for x and y:
x: 0 to 2 - y
y: 0 to 1
Area = ∫(y=0 to 1) ∫(x=0 to 2-y) (√(25 + 36y^2)) dx dy
Evaluating this integral will provide the area of the surface above the given triangle.
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37=-3+5(x+6), Please provide explanation.
Answers
Answer:
x=2
Step-by-step explanation:
youd distribute the 5 first so the equation is now
37=-3+5x+30
then group the common terms (-3 and 30 in this case)
37=5x+27
now subtract 27 from both sides to start to isolate 5x
10=5x
divide by 5 to find x
2=x
hope i helped :)
37 = -3 + (5)(x) + (5)(6)
37 = -3 + 5x + 30
37 = (5x) + (-3 + 30)
37 = 5x + 27
5x + 27 =37
5x + 27-27 = 37-27
5x= 10
Divide 5 on both side and you get x= 2
from the Venn diagram list all the elements in G U H in set notation
G={apple,orange,banana,grape,duruan,pear}
H={apple,banana,grape,strawberry}
Answers
Answer: The Union of two sets will be all elements without duplicate elements. So G U H ={apple , orange , banana , grape , duruan ,pear , strawberry}
Step-by-step explanation:
"U" is the union of two sets. The no of values in Union of two sets G , H
is G U H = G + H - (G ∩ H)
G set contains the elements are {apple ,orange ,banana ,grape ,duruan ,pear}.H set contains the elements are apple ,banana, grape, strawberry. G ∩ H the same elements between G, H. The Elements which are common are [apple ,banana ,grape}. G + H are the elements in G,H with duplicates . The elements are {apple, orange, banana, grape, duruan, pear, apple, banana, grape, strawberry}.Now removing duplicates are G + H - (G ∩ H) . So the elements are {apple , orange , banana , grape , duruan ,pear , strawberry}.To learn more about sets notation,
Worksheet 1.3
Part 1: Write a math expression for each problem (model the problem).
1)
Lumpy drove for h hours at 50 mph. How far did he drive?
Answers
Answer:
d = 50h
Step-by-step explanation:
distance = speed × time
Lumpy's distance (d) in miles, after driving h hours at 50 miles per hour, is given by ...
d = 50h
can someone that’s really smart actually help me with this
Answers
The new startup company tenneshoe had a yearly profit of $60,000 in 2018. the profits have decreased by 6% per year. what is the projected profit in
2022? round to the nearest whole number and do not put a comma in your number.
>
1
mc
Answers
Answer:
The answer is 46845
A gardener planted a newly sprouted oak tree that was just 3.5 inches tall. The sapling grew 12 inches each year.
Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, x.
Answers
Answer:
y = 12x + 3.5--------------------------------------
Initial height is the y-intercept of the line.
Yearly growth rate is the slope.
So we have:
m = 12, b = 3.5.The equation of the line with these constants is:
y = mx + by = 12x + 3.53. The Alvarez family bought a car for $2,000. They made a down
payment of $500. If they want to pay the balance in 5 equal
payments, how much will each of these payments be?
Answers
The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.
Each payment will have to be $300
An algorithm will be used to identify the maximum value in a list of one or more integers. Consider the two versions of the algorithm below. Algorithm I: Set the value of a variable max to - 1. Iterate through the list of integer values. If a data value is greater than the value of the variable max, set max to the data value. Algorithm II : Set the value of a variable max to the first data value. Iterate through the remaining values in the list of integers. If a data value is greater than the value of the variable max, set max to the data value. Which of the following statements best describes the behavior of the two algorithms? A Both algorithms work correctly on all input values. В Algorithm I always works correctly, but Algorithm II only works correctly when the maximum value is not the first value in the list. Algorithm Il always works correctly, but Algorithm I only works correctly when the maximum value is greater than or equal to - 1. D Neither algorithm will correctly identify the maximum value when the input contains both positive and negative input values.
Answers
Algorithm Il always works correctly, but Algorithm I only works correctly when the maximum value is greater than or equal to - 1
=====================================================
Explanation:
Let's say we have the data set {-4,-3,-2}. The value -2 is the largest.
If we follow algorithm 1, then the max will erroneously be -1 after all is said and done. This is because the max is set to -1 at the start even if -1 isn't in the data set. Then we see if each data value is larger than -1.
-4 > -1 is false-3 > -1 is false-2 > -1 is falseEach statement being false means we do not update the max to its proper value -2. It stays at -1.
This is why we shouldn't set the max to some random value at the start.
It's better to use the some value in the data set to initialize the max. Algorithm 2 is the better algorithm. Algorithm 1 only works if the max is -1 or larger.
Marina can bicycle 19. 5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run? Distance (mi) Rate (mph) Time (hr) Bicycling 19. 5 r 9 StartFraction 19. 5 Over r 9 EndFraction Running 6 r StartFraction 6 Over r EndFraction 4 mph 5 mph 9 mph 13 mph.
Answers
Marina runs at a speed of 4 mph.
Let's denote the speed at which Marina runs as "r" mph.
Given that Marina can bike 19.5 miles in the same time it takes her to run 6 miles, we can set up the equation:
19.5 / (r + 9) = 6 / r
To solve this equation, we can cross-multiply:
19.5r = 6(r + 9)
19.5r = 6r + 54
Subtracting 6r from both sides:
19.5r - 6r = 54
13.5r = 54
Dividing both sides by 13.5:
r = 54 / 13.5
r = 4
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15. Given Square ABCD, if AB = 2x + 4 and
CD = 3x - 5, find BC.
Equation: _____
X = _____
BC = _____
Answers
Answer:
equation : 2x + 4 = 3x - 5
X = 9
BC = 22
The equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.
What is a square? What is a mathematical equation? What do you mean by domain and range of a function?In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
Area: (side)²Perimeter: 4 x sideNumber of vertices: 4Number of edges: 4Internal angle: 90°Properties: Convex polygon, Equilateral polygon, Isogonal figure, Isotoxal figure, CyclicType: Quadrilateral, Regular polygonA mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
A mathematical equation is used to equate two expressions.
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is square ABCD and AB = 2x + 4 and CD = 3x - 5
Now -
AB = CD
Equation will be -
2x + 4 = 3x - 5
4 + 5 = 3x - 2x
x = 9
and
AB = BC = CD = AD = 2x + 4 = 2 x 9 + 4 = 22
BC = 22
Therefore, the equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.
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when to reject or fail to reject the null hypothesis
Answers
To determine whether to reject or fail to reject the null hypothesis, we typically rely on statistical hypothesis testing. After conducting a hypothesis test, we consider the test statistic and the corresponding p-value.
When the p-value is less than or equal to the predetermined significance level (usually denoted as α), we reject the null hypothesis. This indicates that the observed data provides sufficient evidence to support the alternative hypothesis. Conversely, when the p-value is greater than the significance level, we fail to reject the null hypothesis. In this case, we do not have enough evidence to support the alternative hypothesis.
The significance level α is predetermined and represents the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. Commonly used significance levels include 0.05 (5%) and 0.01 (1%). The choice of the significance level depends on the specific research context and the consequences of making a Type I error.
It is important to note that failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true. It simply means that the observed data does not provide enough evidence to support the alternative hypothesis. There could still be other factors or limitations in the study that contribute to the lack of significant results.
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Can someone pls help me with this?
Answers
Answer:
the answer would be c
Step-by-step explanation:
If the train is moving at a constant rate then the graph would have to show a straight line.