a rectangle is 4 times a long as it is wide. if the length of the third side?

The depth of the water when the wave speed is 200 meters per second is 4081.63m

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.

Given,

In a tsunami, the wave speeds (in meters per second) can be modeled by s(d)=√9.8d,

Where d is the depth

We need to find the depth when speed is 200 meters per second

s(d)=√9.8d,

200=√9.8d,

Square on both sides

40000=9.8d

Now divide both sides by 9.8

d=4081.63m

Hence, the depth of the water when the wave speed is 200 meters per second is 4081.63m

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Answer:

Answer is 4.

x = 4

Step-by-step explanation:

180-(45+15) = 120

4x+120=180

4x=60

x=15

The error that Vera made is she used the wrong number in her inequality to claimed the solution set on the number line represents the inequality.

In mathematics, "inequality" refers to a connection between two expressions or values that are not equal to one another. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in lieu of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

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The correct option is tabular

An interactive way to quickly summarize large amounts of data is with a pivot table. A Pivot Table can be used to thoroughly analyze numerical data and provide unexpected answers about your data. Querying vast amounts of data in a variety of user-friendly ways is one task that a pivot table is especially useful.

Data are easily summarized in pivot tables. Pivot tables can be a huge help if you're looking for a quicker and easier way to summarize data. It will help any user create a brief summary from a large amount of disorganized data that is arranged in rows and columns.

From the above information

we can understand that

out of the 4 options

the PivotTable layouts displays all fields in separate columns and subtotal rows at the bottom of each group, similar to a table

is Tabular

hence the solution is Tabular

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The maximum error in the calculated area of the disk is 33.93 square cm. The relative error is 0.0148. The percentage error is 1.48%.

a. The area [tex]$\mathrm{A}$[/tex] of a circle with radius [tex]$\mathrm{r}$[/tex] is given by the following formula from Geometry:

[tex]$A=\pi r^2$[/tex]

The question provides us the following information:

radius [tex]$r=27 \mathrm{~cm}$[/tex], maximum radius measurement error [tex]$\Delta r=0.2 \mathrm{~cm}$[/tex]

Using linear differentials we get the error in the calculation of the area of this disk [tex]$\Delta A$[/tex] from (1) as follows:

[tex]$\Delta A=2 \pi r \Delta r \Longrightarrow|\Delta A|=2 \pi r|\Delta r|$[/tex]

Using the information from (2) in (3) yields

[tex]$|\Delta A|=2 \pi(27)(0.2)=33.93 \mathrm{~cm}^2 \text {. }$$[/tex]

The maximum error in the calculated area of the disk is 33.93 square [tex]$\mathrm{cm}$[/tex].

b. The relative error is calculated using (1) and [tex]$r=27 \mathrm{~cm}$[/tex] as follows:

Relative Error [tex]$=\frac{|\Delta A|}{A}=\frac{33.93}{\pi\left(27^2\right)}=0.0148$[/tex].

The relative error is 0.0148.

c. The percentage error is the relative error in part b. above multiplied by [tex]$100 \%$[/tex] to give us

Percentage Error [tex]$=100 \% \times$[/tex] Relative Error [tex]$=100 \% \times 0.0148=1.48 \%$[/tex].

The percentage error is [tex]$1.48 \%$[/tex].

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Answer:

• Area of parallelogram = 270 in.²

• Area of square = 225 in.²

• Area of composite figure = 495 in.²

Step-by-step explanation:

We are given a composite figure made up of a parallelogram and a square and told to find its area.

To do this, we are told first to find the area of the parallelogram. The formula for the area of a parallelogram is:

[tex]\boxed{\mathrm{Area \ of \ parallelogram = base \times height}}[/tex].

From the figure, we can see that, for the parallelogram, height = 18 in. and base = 15 in. (since opposite sides of a parallelogram are equal).

Using this information, we can calculate the area of the parallelogram:
Area = base × height

        = 15 in. × 18 in.

        = 270 in.²

Next, we have to find the area of the square using the formula:

[tex]\boxed{\mathrm{Area \ of \ square = side \times side}}[/tex].

From the figure, we can see that the length of a side of the square is 15 in.

Therefore, using the formula above, we can calculate the area of the square:

Area = side × side

        = 15 in. × 15 in.

        = 225 in.²

Now that we know the respective areas of the two shapes that make up the composite shape, we simply have to add the areas together:

Area of composite figure = 270 in² + 225 in²

                                          = 495 in.²

The function that represents the cost of David's bike rental plan, B(t) is C. B(t) = 0.6t + 5

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the information, David pays a flat rate of $5 and and extra $0.6 per day to rent his bike. The cost of David's bike rental plan, B(t). Let the extra day be illustrated by t.

This will be:

B(t) = 5 + (0.6 × t)

B(t) = 5 + 0.6t

The correct option is C.

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Complete question

David pays a flat rate of $5 and and extra $0.6 per day to rent his bike. The cost of David's bike rental plan, B(t), can be represented by which of the following functions?

A. B(t) = 5(0,6)^t

B. B(t) = 5(1 + 0.6)^t

C. B(t) = 0.6t + 5

D. B(t) = -0.6t + 5

To determine whether the mean weight of two distinct turtle species is equal. It would take too much time and money to weigh each turtle because there are thousands of them in each group.

A two-sample t-test is used to determine whether or not genuine population means are equal.

The accompanying null hypothesis is usually used in a two-sample t-test:

[tex]H_0[/tex]: The two population averages are equivalent when 1 = 2.

The alternative hypothesis might have two tails, a left or right tail, or none at all:

Two-tailed [tex]H_1[/tex]: μ1 ≠ μ2 Neither of the two population means is equal.

(Left-tailed) [tex]H_1[/tex]: Population 1 mean is lower than population 2 mean by a factor of 1.

[tex]H_1[/tex] (right-tailed): Populations 1 and 2 have mean values that are higher than each other.

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Answer: $4/sandwich

Using the distributive property, the greatest common factor of  75+20 is 5(15+4).

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.

For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.

So, the largest number that will split two values is the greatest common factor. Two values are available: 75 and 20.

Each has a set of numbers that when added together equal the total.

We must identify the most important quality or area where they most agree.

Each possesses the following elements:

75: 1,3,5,15,25, 75

20: 1, 2, 4, 5, 10, 20

Each has 5, making this the GCF.

As a result, we write the expression as 5(_+_).

We calculate the matching factor by multiplying each term by 5.

75/5= 15

20/5=4

5(15+4)

Therefore, using the distributive property, the greatest common factor of  75+20 is 5(15+4).

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Correct question:

Apply the distributive property to factor out the greatest common factor.

75 + 20 =

The one which uses Sir Ronald Fisher's F-distribution for the test statistic is to compare several population means simultaneously.

The F-distribution was developed by Sir Ronald Fisher to study the behavior of two variances from random samples taken from two independent normal populations. The F-distribution allows us to use a F statistic to compare two populations.

The F-distribution is also known as a right-skewed distribution used commonly in another statistical test called an Analysis of Variance (ANOVA). For ANOVA tests we can use the F-distribution to check whether the variance among the means of two populations significantly differ. The F-distribution can also be used in regression analysis to compare the fit of different models.

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The results most probably be invalid because the subjects were voluntary sample.

What is sample in statistics?

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Hence, the deal of  $[tex]479[/tex] is best unit price per blender.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Oliver is buying equipment for his restaurant. He can buy two blenders for $[tex]396[/tex] or three blenders for $[tex]479[/tex].

So,

Oliver buying two blenders at  $[tex]396[/tex] so the cost of one blender is

i.e., [tex]\frac{396}{2}=198[/tex]$

Oliver buying two blenders at  $[tex]479[/tex]  so the cost of three blenders is

i.e., [tex]\frac{479}{3}=159[/tex]$

Hence, the deal of  $[tex]479[/tex] is best unit price per blender.

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The possibile base and height of second triangle is option 4: 16 and 6.

We are given the height and base are inversely proportional for the triangle. Based on this, the area of triangle is given by the formula -

Area = 1/2 × base × height

Keep the values in formula to find the area of first triangle -

Area = 1/2 × 12 × 8

Area = 6 × 8

Area = 48

Now, option a in the choices is incorrect, because there is no variation seen in the two values. Trying the other three options to find the dimensions of same area.

Option 2: 60 and 36

Area = 1/2 × 60 × 36

Area = 30 × 36

Area = 1080

Option 3: 120 and 80

Area = 1/2 × 120 × 80

Area = 60 × 80

Area = 4800

Options 4: 16 and 6

Area = 1/2 × 16 × 6

Area = 8 × 6

Area = 48

Hence, option 4 16 and 6 are correct base and height.

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The complete question is attached in the figure.

The triangle is an Equilateral triangle.

What is an equilateral triangle?

In geometry, an equilateral triangle is a triangle in which all three sides are equal. In an equilateral triangle, all three angles are 60 degrees.

Angle bisector means a bisector which divides an angle into two equal parts. A perpendicular bisector is a line which makes 90 degrees with the base and divides it into two equal parts.

In the case of an equilateral triangle, the angle bisector of each angle of a triangle and the perpendicular bisector of the opposite side is the same.

Hence the answer is an equilateral triangle.

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Answer:

Below

Step-by-step explanation:

Expand the parentheses to get

1/5 b   - 2a + 1/2 b     + 4a          gather like terms to get

2a  + 7/10  b

The intercountry differences in participation rates in organ-donation programs is due to STATUS QUO BIAS.

Status quo bias can be defined as the emotional prejudice to the way things are and any change is considered a loss.

This status quo bias phenomenon often affect decision making in an individual. In some countries, organ donation is widely accepted by the people while it is not accepted in some other countries. The only reason for this is because of just the way things are done usually in those countries.

Another example of status quo bias will be saving money towards retirement. Everyone sees this as a The intercountry differences in participation rates in organ-donation programs is due to STATUS QUO BIAS.

Status quo bias can be defined as the emotional prejudice to the way things are and any change is considered a loss.

This status quo bias phenomenon often affect decision making in an individual. In some countries, organ donation is widely accepted by the people while it is not accepted in some other countries. The only reason for this is because of just the way things are done usually in those countries.

Another example of status quo bias will be saving money towards retirement. Everyone sees this as a norm.

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the Total deposit will be $935.2.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Luna Brennan's is depositing $320 in currency, currency, $1.55 In coins, a check for $213.40, and a check for $400.25.

So Total deposite will be $320+$1.55+ $213.40+$400.25 = $935.2

Hence the Total deposit will be $935.2

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Answer:

Below

Step-by-step explanation:

acceleration =  Δv /  Δt =  - 5/6   m/s^2  

                     ( negative sign shows it to be a deceleration)

F = ma

 =  30 ( -5/6)  = -25 N      or 25 N in the direction opposite of the velocity ( like a frictional force)

Answer:x=-5

Step-by-step explanation:

a) The probability of both balls drawn from the bag be red is 6/55

b) The probability of one ball red and other ball black is 4/11

Given,

Number of white balls in the bag = 2

Number of red balls in the bag = 4

Number of black balls in the bag = 5

Two balls are drawn from the bag.

Here,

a) Find the probability of both balls be red.

(²C₀ x ⁴C₂ x ⁵C₀) / ¹¹C₂

= (1 x 6 x 1)/ 55

= 6/55

That is,

The probability of both balls be red is 6/55

b) Find the probability of one ball red and other ball black

(²C₀ x ⁴C₁ x ⁵C₁) / ¹¹C₂

= (1 x 4 x 5) / 55

= 20/55

= 4/11

That is,

The probability of one ball red and other ball  black is 4/11

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1. Simplified Solution: [tex]a^9[/tex]

2. Simplified Solution: [tex]x^1^0[/tex]

3. Simplified Solution: [tex]1024a^1^0b^1^5[/tex]

4. Simplified Solution: [tex]x^2[/tex]

5. Simplified Solution: [tex]\frac{1}{x^3}[/tex]

6. Simplified Solution: [tex]1[/tex]

7. Simplified Solution: [tex]\frac{4a^6}{b^8}[/tex]

8. Simplified Solution: [tex]32768x^1^0[/tex]

9. Simplified Solution: [tex]\frac{1}{x^1^2y^2^1}[/tex]

10. Simplified Solution: [tex]x^1^4y^1^1[/tex]

11. Simplified Solution: [tex]-\frac{3}{x^4}[/tex]

12. Simplified Solution: [tex]\frac{xy^1^1}{4}[/tex]

13. Simplified Solution: [tex]x^7[/tex]

14. Simplified Solution: [tex]xy^2[/tex]

15. Simplified Solution: [tex]1[/tex]

16. Simplified Solution: [tex]\frac{1}{1000x^1^5y^9}[/tex]

17. Simplified Solution: [tex]\frac{y^3}{x^2}[/tex]

18. Simplified Solution: [tex]\frac{1}{16x^4y^1^0}[/tex]

19. Simplified Solution: [tex]\frac{xy^2}{3}[/tex]

20. Simplified Solution: [tex]-\frac{y^1^2}{9x^4}[/tex]

21.Simplified Solution: [tex]3x^2y^2[/tex]

____________________________________________________

Hope this helps! And good luck! :D

Answer:

domain {-9,-8,3}, range{0,7}

Step-by-step explanation:

domain is the set of all x values

range is the set of all y values

The value of MB equal x which is equal to 50.6 as the two triangles are similar triangles.

Based on the given information, MNP has a segment AB which is parallel to NP. As AB and NP are parallel and MN is transverse. Therefore, ∠MAB ≅ ∠MNP.  According to Angle – Angle property of similarity, triangle MNP and triangle MAB are similar triangle. If two pairs of corresponding angles are congruent in two triangles, then the triangles are similar. The corresponding sides of similar triangles will be in the same ratio. Hence,

MA/MN = MB/MP

MA = MN – AN = 46.2 – 14 = 32.2

Hence,

32.2/46.2 = x/72.6

x = 50.6

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Answer: four less than three times a number

Step-by-step explanation:

4 - 3x

x beside a number is times a number so example 4 - ( 3 multiply X)

sorry if it doesnt make sense  

Answer:

yo

Step-by-step explanation:

the person above is right

um did it on edge

Answer:

A. Linear

B. Non-linear

C. Linear

Step-by-step explanation:

A linear line has a consistent slope either going down (negative) or going up (positive.)

A. The x values are increasing by a constant rate of 1, and the y values are decreasing at a constant rate of 1. Therefore it is a linear relation.

B. The x values are increasing by a constant rate of 1, but the y-value repeats itself twice in the second and third column. Therefore it does not have a consistent slope and is not a linear relation.

C. The x values are increasing by a constant rate of 1, and the y- values increase by a constant rate of 2 except in column 4 making it a non-linear relation.

Statisticians want to know if the hypothesized mean of the differences is less than zero for paired data. So, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd<0.Option(b)

A null hypothesis proposes that certain characteristics of a population or development process are the same regardless of whether they differ or not. There is a difference, according to the alternative hypothesis. A null hypothesis can be rejected with a certain degree of confidence through hypothesis testing.

The alternative hypothesis can be supported if the null hypothesis is rejected. A null hypothesis test is a basis for science's falsification principle.

A statistician believes that the percent population growth rate of major cities has decreased compared to last decade. To test his claim, he randomly selects major cities and compares the percent population growth between the years 2007 and 2017 to the percent population growth between the years 1997 and 2007. Let d=percent growth rate from 2007 to 2017−percent growth rate from 1997 to 2007. Identify the correct null and alternative hypothesis for a hypothesis test.

H0:μd≠0

Ha:μd=0

H0:μd=0

Ha:μd<0

H0:μd=0

Ha:μd>0

H0:μd=0

Ha:μd≠0

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Answer:

x=1, y=-3

Step-by-step explanation:

We first see there is a 3y in both equations. We can completely eliminate the y term by subtracting the equations.[tex](4x+3y=-5)-(-x+3y=-10)[/tex]. This gives us (4x--x)=(-5--10), which is 5x = 5. So, x = 1.

Now we can plug this value in to solve for y. Let's plug it in to [tex]-x+3y=-10[/tex]. We get [tex]-1 + 3y=-10[/tex], so 3y = -9 and y = -3. Hope this helps!

The table is completed below

Distance (cm)      weight (newtons)

20                         28

55                         77

100                        140

1                             1.4

The maximum data in the y axis is 140

The maximum data in the x axis is 100

The blank is filled by finding proportional relationship, this is calcualted by

let the constant of proportionality be k

20k = 28

k = 20/28

k = 1.4

55k = 55 * 1.4 = 77

? * k = 140

? = 140/k = 140/1.4 = 100

1 * k = 1 * 1.4 = 1.4

How high each value can go is the highest value in each axis and the is 100 for x axis and 140 for y axis

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