The length of a rectangle is 6 more than its width. The perimeter of the rectangle is 60 feet. If w is the width of the rectangle, which expression represents the length? w+5 w-5 5w 1/5w​

Based on the angles addition theorem, the measure of the original angle = 44°.

The angles addition theorem states that if an angle is bisected to form two smaller angles, then the sum of the measures of the two smaller angles equals the measure of the original angle that is bisected.

Given that the two smaller angles formed when bisected are: (3+30)° and (5+6)°. Based on the angles addition theorem:

The measure of the original angle = (3+30)° + (5+6)°

The measure of the original angle = 33° + 11°

The measure of the original angle = 44°

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The graph that represents the inequality is graph b

From the question, we are to graph the given inequality

The given inequality is

y ≥ |x+5|-3

To graph the inequality, we will write the inequality as an equation and we will find some of the points on the line

When x = 0

y = |x+5|-3

y = |0+5|-3

y = |-3

When y = 0

y = |x+5|-3

0 = |x+5|-3

0 = (x + 5) - 3 and 0 = -(x + 5) -3

3 = x + 5

x = 3- 5

x = -2

and

0 = -(x + 5) -3

x + 5 = -3

x = -3 - 5

x = -8

The graphs that has the points above are graphs b and d.

Since the inequality sign is ≥ when y is the subject, the solution to the inequality is above the lines.

Hence, the graph of the inequality is graph b.

The graph of the inequality is shown below

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Answer:

Step-by-step explanation:

y  < 19

hope this helps :)

[tex]\cfrac{2}{3}\left( \cfrac{9}{10} \right)\left( \cfrac{1}{2} \right)\implies \cfrac{2}{3}\cdot \cfrac{9}{10}\cdot \cfrac{1}{2}\implies \cfrac{9}{3}\cdot \cfrac{1}{10}\cdot \cfrac{2}{2}\implies 3\cdot \cfrac{1}{10}\cdot 1\implies \cfrac{3}{10}[/tex]

The solution of the equation for h is H = 2a/(B1 + B2)

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation is given as

a=H(B1 + B2)/2

The above means that the variable h is represented by the variable H

Multiply both sides of the equation by 2

So, we have

2a = H(B1 + B2)

Divide both sides of the equation by (B1 + B2)

H = 2a/(B1 + B2)

Hence, the solution of the equation for h is H = 2a/(B1 + B2)

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The polynomial representing the area of the is 49n² - 25

The formula for area of a square is expressed as;

Area = a²

Where a is the side length

From the image shown, we can see that the side length takes the value (7n - 5)

Substitute the value into the formula

Area = a²

Area = (7n - 5)²

Area = (7n - 5) ( 7n + 5); this is so because of the difference of two squares

Expand the bracket

Area = 49n² + 35n - 35n - 25

collect like terms

Area = 49n² - 25

Thus, the polynomial representing the area of the cube is 49n² - 25

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Answer:5

Step-by-step explanation:

The distance between the two points in simplest radical form is 2√5.

Given the points are (₋8 , 7) and (₋4 , 5)

Let (₋8 , 7) be (x₁ , y₁) and

(₋4 , 5) be (x₂ , y₂)

we know that distance between two points is:

√(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²

Substitute (₋8 , 7) and (₋4 , 5) into the above distance formula.

√(₋4 ₊ 8)² ₊ (5 ₋ 7)²

calculate the sum or the difference.

√(4)² ₊ (₋2)²

Determine the sign for radical or exponential expressions.

√16 ₊ 4

√20

Now factor and rewrite the radicand in the exponential form.

√2²×5

Rewrite the expression using ⁿ√ab = ⁿ√a . ⁿ√b

√2² × √5

simplify the radical expression.

2√5

hence we get the distance between two points in radical form as 2√5 units.

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Answer:

sometimes

Step-by-step explanation:

There are several ways that dilation is used in real life. Here are several:

In graphic design. I actually do some graphic design, and I use dilation a lot. It is common to dilate photos to fit the space that you want it to fit.

In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence.

In architecture. It is normal for architects to make a prototype of their design or building. In order to make the building true to the prototype, they must dilate the scale and measurements.

In the doctor's office. Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.

The function with the largest slope would be f(x) = 1.5

What is the slope in math?

For f(x), choose any two points say (-3,-10) and (-1,-7) where

x1 = -3 ; y1 = -10 ; x2 = -1 ; y2 = -7

Find the slope (m)

m=(y2 - y1) / (x2 - x1) = (-7 - -10)/ (-1 - -3) = 3/2 or 1.5

slope of f(x) = 1.5

g(x) = 1/2 x  + 3

standard formula: y = mx + b where m is the slope.

slope of g(x) = 1/2 or 0.5

Since lance gains 1 level every time he plays,

slope = 1/1 = 1 so, slope of h(x) = 1

the function with the largest slope would be f(x) = 1.5

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Answer:

-6 ≤ x + 3 < 10

-6 - 3 ≤ x + 3 - 3 < 10 -3

-9 ≤ x < 7

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the chi-square value is going on English the likelihood of rejecting the null hypothesis also increases because there is a chance that the chi-square value increases more than the significant value that is given in the question. So the required answer is that increases as the required answer.

For example, if, according to Mendel's laws, you expected 10 of 20 offspring from a cross to be male and the actual observed number was 8 males, then you might want to know about the "goodness to fit" between the observed and expected.

Were the deviations (differences between observed and expected) the result of chance, or were they due to other factors? How much deviation can occur before you, the investigator must conclude that something other than chance is at work, causing the observed to differ from the expected.

The chi-square test is always testing what scientists call the null hypothesis, which states that there is no significant difference between the expected and observed result.

The formula for calculating chi-square ( 2) is:

2=  (o-e)2/e

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The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

The independent variable, as indicated in the name is not influenced by other variables but can predetermine its own self.

So, the independent variable is the water in the 200 gallon aquarium

Now, the dependent variable is the tested variable and is depends on the independent variable, which is the time it takes to drain the 200 gallon aquarium.

Hence,  independent variable is volume of water in the aquarium and dependent variable is time it will take to drain the aquarium.

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Answer:

5.0 × 1012 kg-4. I'm pretty sure this is the answer

Answer:

2.41

Step-by-step explanation:

We needed split up 30 into 2 factors where one of them had to be the same number on the bottom. Since 6 is on the bottom we need to find a number that multiples with 6 to get to 30 and 30/6 gives us 5. So then we can split up 30g into 5g *6g and with the exponents of course. Now since 5g and 6g are multiplying, we can just take 5g out of the equation. If they were adding or subtracting we couldn't.So that gives us 5g^5 * (6g^5/6g^9). According to exponent laws or whatever they're called, if 2 numbers have the same base and have exponents, we can add or subtract the exponents if they are being multiplied or divided by each other. Therefore our final answer is 2.41.

Answer:

15, 30, 45, 60

Step-by-step explanation:

ALL OF THE MULTIPLES OF 15

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735

All numbers can be divided or the product of 15 is a multiple of 15.

The lowest common denominator for 4/21, 3/7, 4/9 is 63.

Lowest common denominator is the lowest number that is divisible by the denominators of the set of fractions.

Step 1:  we will write down the prime factors of all the denominators.

[tex]21=7^{1} *3^{1}[/tex]

[tex]7=7^{1}[/tex]

[tex]9=3*3=3^{2}[/tex]

Step 2 : write down highest power of each prime number.

[tex]7^{1} ,3^{2}[/tex]

Step 3 : Multiply the values

7x9=63

Therefore , The lowest common denominator for 4/21, 3/7, 4/9 is 63.

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The correct option regarding the skewness of the distribution is given by:

This is a skewed-left distribution, because the mean is less than the median.

If the mean is greater than the median, the distribution is right-skewed, also called positively skewed. Otherwise, if the median is greater than the mean, the distribution is left-skewed, also called negatively skewed.

In this problem, we have that:

The median is greater than the mean, hence the correct option is given by:

This is a skewed-left distribution, because the mean is less than the median.

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Answer:

The overall change was 58 degrees

Step-by-step explanation:

-2 + 58 = 56

The expression to show the stock's value is -$138 x 13

Given that the price of a stock is steadily decreasing.

Decreasing values are usually represented along with a negative sign.

The decreased price = $138

This means the decrease is of -$138.

Number of months = 13 years

That is $138 is decreased over 13 years.

Then The expression to show the stock's value is -$138 x 13

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When x = -2:

f(-2) = -3 (-2) + 1

f(-2) = 6 +1

f(-2) = 7

y = 7

When x = 0:

f(0) = -3 (0) + 1

f(0) = 0 +1

f(0) = 1

y = 1

When x = 3:

f(3) = -3 (3) +1

f(3) = -3 (3) + 1

f(3) = -9 +1

f(3) = -8

y = -8

So, the Range is {7, 1, -8}

The amount Juan & Jaquan each had in sales in July is approximately $725 and the equation for Juan's Earning is 525 + 1.75x and the equation for Jaquan's Earning 609 + 1.015x.

Unitary method:

Unitary method is defined as the process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given,

Juan and Jaquan work for separate companies.

Juan earns $15 for each sale plus 5% commission.

Jaquan earns $21 for each sale plus 3.5% commission.

In July, Juan made 35 sales and Jaquan made 29 sales.

They made the same total salary.

Here we need to find the amount Juan & Jaquan each had in sales in July.

Let x be the total number of sales in July.

So, based on the given details we can written it as,

Juan earns,

=> 15 + 5%x

=> 15 + 0.05x

And Jaquan earns,

=> 21 + 3.5%x

=> 21 + 0.035x

So, in July, Juan made 35 sales and Jaquan made 29 sales,

Then

=> 35(15 + 0.05x)

=> 525 + 1.75x  -----------(Juan's Earning)

=> 29(21 + 0.035x)

=> 609 + 1.015x -----------(Jaquan's Earning)

And also in July, they made the same total salary.

So,

Juan's Earning = Jaquan's Earning

Then,

=> 525 + 1.75x = 609 + 1.015x

=> 1.75x - 1.0.15x = 609 - 525

=> 0.735x = 84

=> x = 84 / 0.735

=> x = 114.28

So, the total amount they earned in July is,

=> 525 + 1.75(114.28) = 609 + 1.015(114.28)

=> 525 + 199.99 = 609 + 115.99

=> 724.99 = 724.99

So, they earned approximately $725 in July.

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She is diminutive (a very, very small person). She can ask others to hit the top elevator buttons for him because he can't reach them. On rainy days, he presses the buttons with his umbrella.

A statement, question, or phrase with a hidden or double meaning that is presented as a problem to be answered is called a riddle. Enigmas, which are difficulties typically presented in metaphorical or allegorical language that call for inventiveness and careful thought to solve, and conundra, which are questions that rely on puns in either the question or the answer, are two different forms of riddles.

Riddles from hundreds of various civilizations, including Finnish, Hungarian, American Indian, Chinese, Russian, Dutch, and Filipino sources, are cited by Archer Taylor in his statement that "we may definitely claim that riddling is a global art. Riddles and riddle motifs are common across the world.

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Step-by-step explanation:

10 yards is equal to 360 inches. If you divided 360 inches by 15 inches, the answer will be 24. So the answer is 24 mats.

Considering the definition of perpendicular line,  the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 7x+2y=14. Expressed in the form y = mx + b, you get:

2y= 14 - 7x

y= (-7x + 14)÷ 2

y= -7/2x - 7

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -7/2. So:

-7/2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-7/2)

slope perpendicular line= 2/7

So, the perpendicular line has a form of: y= 2/7x + b

The line passes through the point (7,-6). Replacing in the expression for perpendicular line:

-6= 2/7× (7) + b

-6= 2 + b

-6 -2 = b

-8= b, being b the y-intercept of the line.

Finally, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

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Answer:

0.2888888889

Step-by-step explanation:

d=m/v

v=15×5×3=225

d=65/225

d=0.2888888889g/cm³

Answer:

0.29 g/cm³

Explanation:

[tex]\sf density \ (g/cm^3) = \dfrac{mass \ (g)}{volume \ (cm^3)}[/tex]

Here given following:

Find density:

[tex]\sf \rightarrow density = \dfrac{65}{225}[/tex]

[tex]\sf \rightarrow density = 0.2888...[/tex]

[tex]\sf \rightarrow density = 0.29[/tex]

Answer:

10

Step-by-step explanation:

Bxhwbdjnqbxkabxjb iqbdnannsmxns

(1/2)²-6(2-2/3)

(1/2)²-6(2-2/3)

LCM=6

1/2²-6(2/1-2/3)

12-4

______

6

1/2²-6(8/6)

1-(48/36)

1-(4/3)

= -4/3

Answer:

1.(x-3)(x-5)

2.(y+2)(y+9)

3.(x+4)(x-5)

4.(x+1)(x+7)

5.(n-7)(n+8)