Find the perimeter of a square if the length of its diagonal is 18 inches. Round to the nearest tenth.

Answer:

greater than 3·30

370%=3.7

3.7×30= 111

3×30=90

111>90

I hope this helps:

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.

Answer:

--------------------------------------

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

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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Answer:

20 times

Step-by-step explanation:

Digit 2 appears 20 times in first 100 natural numbers

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 :)

Answer:

123.6​30189899 or A. $1,257.72

Step-by-step explanation:

\(\frac{4.25}{100}=0.0425\\ 100(1 + \frac{0.0425}{12})^{12(5)} \\= 123.630189899\)

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)

To learn more about sets notation,

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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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.

Answer:

equation : 2x + 4 = 3x - 5

X = 9

BC = 22

The equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.

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.

A 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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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

Answer:

2.2 MB the side of the nigh

If Judy's refund is $535, to pay for furniture worth $800, she will have to come up with $265, which 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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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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Answer:

The answer is 46845

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.

Each 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.

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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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.

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

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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The length of the similar tube will be 5041 cm.

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:-

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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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

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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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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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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