10x + 8 = 8
-8-8
10x = 0 10 [?]

The slope of the line that passes through the graph is 3

From the graph, the points are given as

(0, 0)  and (1, 3)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (0, 0)  and (1, 3)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 0)  and (1, 3)

Substitute the known values in the above equation

So, we have the following equation

Slope = (3 - 0)/(1 - 0)

Evaluate

Slope = 3

Hence, the slope of the line is 3

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Answer:

5 tents

Step-by-step explanation:

because if you do 37 divided by 9 then you get 4 with a remainder of 1 so you can either round up and let 1 person sleep alone of keep it at 4 and try to fit 10 people into a tent.

Answer:

30 C

Step-by-step explanation:

How to find difference: t1 - t2

Subsitute:

18 - (-12)

Double negative signs make a positive.

18 + 12

30

The manager can see the eight applicants in 40,320 different ways.

The number of ways the manager can see the eight applicants, one after another, equals the number of permutations of eight objects taken at a time. The given problem depends on a number of arrangements we can make for the applicants to give interviews one by one, which can be calculated as follows:

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

In 40320 ways the applicants are able to give the interview. Therefore, the manager can see the eight applicants in 40,320 different ways.

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The length of side LJ in triangle JKL is approximately 12.27 centimetre .

To determine the length of side LJ in triangle JKL, we can use the concept of similarity between triangles. When two triangles are similar, their corresponding sides are proportional.

Length of side XY in triangle XYZ: 8.7

Length of side XZ in triangle XYZ: 8.2

Length of side YZ in triangle XYZ: 7.8

Length of side JK in triangle JKL: 13.05

Let's set up the proportion using the corresponding sides:

XY / JK = XZ / LJ = YZ / KL

Substituting the given values:

8.7 / 13.05 = 8.2 / LJ = 7.8 / KL

Now, we can solve for LJ:

8.2 / LJ = 8.7 / 13.05

Cross-multiplying:

8.2 * 13.05 = 8.7 * LJ

106.71 = 8.7 * LJ

Dividing both sides by 8.7:

LJ = 106.71 / 8.7

LJ ≈ 12.27

Therefore, the length of side LJ in triangle JKL is approximately 12.27cemtimetre .

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Answer:

500*2%=10

500+10=510

Step-by-step explanation:

Let's determine if we are to trust using the sample as a representative of the whole population if sample bias exist.

Sample bias can be defined as a method used to obtain the sample from a population when the researcher favours one part of the population over another.

If the results of the sample are not said to be a representation of the whole population, then sample bias exists.

Since the results of the sample cannot be a true representation when sample bias exists, then we CANNOT easily trust using the sample as representative of the whole population.

Therefore, this statement is FALSE.

ANSWER:

False

Answer:

\(\frac15\)

Step-by-step explanation:

Hello!

The constant of proportionality is basically how much the graph rises for every change of 1 unit in x.

We can calculate the constant of proportionality by finding the change in y between 2 points divided by the change in x between two points.

The two points I'll pick are (0,0) and (5,1).

Constant of proportionality: \(\frac 15\)

Answer:

3:1

Step-by-step explanation:

who did not wear = 28 - 21

= 7

ratio = 21: 7

= 3:1

Answer:

(D). 182

Step-by-step explanation:

did the math

Rounding to the nearest ten, the estimated total frog population is approximately 620.

The ratio of marked frogs to the total catch is:

marked frogs / total catch = 7 / 198

Now, we can set up a proportion to find the estimated total frog population:

marked frogs / total catch = 7 / 198

22 / total population = 7 / 198

To solve for the total population, we can cross-multiply:

22 * 198 = 7 * total population

4356 = 7 * total population

Divide both sides by 7:

4356 / 7 = total population

622.29 ≈ total population

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

test scores = 82, 89, and 91

average ≤ 93

inequality = ?

Step 02:

x = score on the next test

inequality:

(82 + 89 + 91 + x ) / 4 ≤ 93

Answer:Solve for x 2x-4=10 2x − 4 = 10 2 x - 4 = 10 Move all terms not containing x x to the right side of the equation. Tap for more steps... 2x = 14 2 x = 14 Divide each term in

Step-by-step explanation:

The radius of table can be 13 inches or 73 inches.

Let r inches be the table's radius.

Make the corner the starting point or origin.

the coordinates for the table's center are as follows: (r, r).

So  \((x-r)^{2} +(y-r)^{2}=r^{2}\)  is the equation for the table's diameter.

The distance between the mark at the table's edge and one wall is 18 inches and 25 inches, respectively. Consequently, this point's coordinates are (18, 25). It might alternatively be (25, 18), but our calculations would not be affected.

Given that the mark is on the edge, it satisfies the criteria established by the table's circumference equation.

\((18-r)^{2} +(25-r)^{2} =x^{2}\)

\(324-36r+r^{2} +625-50r+x^{2} =x^{2}\)

\(r^{2} -86r+949=0\)

(r−13)(r−73)=0

r=13 inches or r=73 inches

As a result, the table's radius can be either 13 inches or 73 inches.

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Answer:

12 weeks

Step-by-step explanation:

if 280=420

then 8=×

cross multiply

280×=420×8

280×=3360

divide both sides with the co efficient of x

280×/280=3360/280

leaving the answer to be 12

The number of revolutions will the wheels need to make to travel 100 feet will be 15.

Given that:

Diameter, d = 26 inches

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The number of revolutions will the wheels need to make to travel 100 feet will be given as,

100 = n x 3.14 x (26 / 12)

100 = 6.803 n

n = 14.6986

n ≈ 15 revolution

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Answer:

Step-by-step explanation:

Heudb

Answer: its 14

Step-by-step explanation:

The value that is minimized in the regression model using the least squares method is the sum of the squared residuals. The least squares method is a common approach for fitting a linear regression model to a set of data, and it is often used in statistical analysis to find the relationship between two variables.

When we use the least squares method in a regression model, we are trying to find the line of best fit that minimizes the sum of the squares of the differences between the predicted values and the actual values. In other words, we are trying to minimize the sum of the squared residuals.
The residuals are the differences between the predicted values and the actual values. Squaring the residuals ensures that they are all positive, which makes it easier to sum and analyze them. By minimizing the sum of the squared residuals, we are finding the line of best fit that is closest to the actual data points.
The value that is minimized in the regression model using the least squares method is the sum of the squared residuals. The least squares method is a common approach for fitting a linear regression model to a set of data, and it is often used in statistical analysis to find the relationship between two variables.

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Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = \(\frac{2-(-4)}{2-(-1)}\) = \(\frac{2+4}{2+1}\) = \(\frac{6}{3}\) = 2

Answer:

9.94

Step-by-step explanation:

y = \(\frac{1}{4}\) x - 9

y - 2 = - 4(x - 3)

y = - 4x + 14

- 4x + 14 = \(\frac{1}{4}\) x - 9

16x - 56 = - x + 36

17x = 92

x = \(\frac{92}{17}\)

y = (-4) \(\frac{92}{17}\) + 14 = - \(\frac{368}{17}\) + \(\frac{238}{17}\) = - \(\frac{130}{17}\)

(3, 2) , ( \(\frac{92}{17}\) , - \(\frac{130}{17}\) )

d ≈ 9.94396

The real numbers can be classified as either rational or irrational numbers.

1. Rational Numbers:
Rational numbers can be expressed as the ratio (or fraction) of two integers. They can be written in the form p/q, where p and q are integers and q is not equal to zero. Rational numbers can be positive, negative, or zero. Some examples of rational numbers include 1/2, -3/4, and 5.

2. Irrational Numbers:
Irrational numbers cannot be expressed as the ratio of two integers. They are non-repeating and non-terminating decimals. Irrational numbers can be positive or negative. Some examples of irrational numbers include √2, π (pi), and e (Euler's number).

It is important to note that the set of real numbers contains both rational and irrational numbers. Every rational number is a real number, but not every real number is a rational number. This means that there are real numbers that cannot be expressed as a fraction.

In summary, the classification of real numbers as rational or irrational depends on whether they can be expressed as a ratio of integers (rational) or not (irrational). The set of real numbers contains both rational and irrational numbers, providing a comprehensive representation of all possible values on the number line.

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The number that comes immediately before 4099 in the sequence is 2051.

You can get this by using the rule given: "double the last number and then subtract 3"

4099/2-3 = 2049

Answer:

ASA

Step-by-step explanation:

two angles are the same and one side is the same

a. The amount to which $500 will grow when compounded annually at a rate of 16% for 10 years is approximately $1,734.41.

b. The amount to which $500 will grow when compounded semiannually at a rate of 16% for 10 years is approximately $1,786.76.

c. The amount to which $500 will grow when compounded quarterly at a rate of 16% for 10 years is approximately $1,815.51.

d. The amount to which $500 will grow when compounded monthly at a rate of 16% for 10 years is approximately $1,833.89.

e. The amount to which $500 will grow when compounded daily at a rate of 16% for 10 years (365 days in a year) is approximately $1,843.96.

a. The amount to which $500 will grow when compounded annually at a rate of 16% for 10 years is approximately $1,734.41.

To calculate this, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $500, r = 0.16, n = 1, and t = 10.

Plugging these values into the formula, we get:

A = 500(1 + 0.16/1)^(1*10)

 = 500(1 + 0.16)^10

 ≈ 1,734.41

Therefore, $500 will grow to approximately $1,734.41 when compounded annually at a rate of 16% for 10 years.

b. The amount to which $500 will grow when compounded semiannually at a rate of 16% for 10 years is approximately $1,786.76.

To calculate this, we can use the same compound interest formula, but with a different value for n. In this case, n = 2 because the interest is compounded twice a year.

A = 500(1 + 0.16/2)^(2*10)

 ≈ 1,786.76

Therefore, $500 will grow to approximately $1,786.76 when compounded semiannually at a rate of 16% for 10 years.

c. The amount to which $500 will grow when compounded quarterly at a rate of 16% for 10 years is approximately $1,815.51.

Using the compound interest formula with n = 4 (compounded quarterly):

A = 500(1 + 0.16/4)^(4*10)

 ≈ 1,815.51

Therefore, $500 will grow to approximately $1,815.51 when compounded quarterly at a rate of 16% for 10 years.

d. The amount to which $500 will grow when compounded monthly at a rate of 16% for 10 years is approximately $1,833.89.

Using the compound interest formula with n = 12 (compounded monthly):

A = 500(1 + 0.16/12)^(12*10)

 ≈ 1,833.89

Therefore, $500 will grow to approximately $1,833.89 when compounded monthly at a rate of 16% for 10 years.

e. The amount to which $500 will grow when compounded daily at a rate of 16% for 10 years (365 days in a year) is approximately $1,843.96.

Using the compound interest formula with n = 365 (compounded daily):

A = 500(1 + 0.16/365)^(365*10)

 ≈ 1,843.96

Therefore, $500 will grow to approximately $1,843.96 when compounded daily at a rate of 16% for 10 years.

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The area ratio is 100:49.

The ratio of areas equals the ratio of squares of matching sides.

Let's put this fraction of comparable ratios into an equation and then input in our two known values to get our two unknown values:

(10)2 : (7)2 = 100 : 49

The ratio of two identical figures areas is equal to the square of the ratio of their corresponding sides.

For instance, if the ratio of the respective widths of two comparable rectangles is 2:3, the ratio of their areas is

22:32=4:9: 2 = 4: 9

Hence the ratio of the areas is 100 : 49

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The expression given is

Simplifying the expression will yield

This means the values of x are greater that 8

But 4 is not greater the 8

Hence

Therefore x=4 is not a solution, the right option is No

Answer:

5/8

Step-by-step explanation:

Answer: The answer is 5/8. Try reducing using 58

Answer:

When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.

If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Discriminant is √\(\sqrt{b^2- 4ac }\)

a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

In this case, we say that the roots are imaginary.

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