In the image below, the measure of angle 3 is equal to the sum of the measures of angle 6 and what other angle?

The slope of the line passing through the point (2,1) and (7,8) is 7/5

What is a slope?

Slope is the inclination of the line with x-axis. measure of how steep a curve or line is. There are various way to calculate the slope of a line. One of the basic way is from coordinates. It is the ratio of difference of y coordinate to the corresponding x- coordinate. it is also known as slope formula

We are given the coordinates as

(2, 1) and (7, 8).

We use the slope formula to find the slope

Slope = (8-1)/(7-2)

Slope = 7/5

Hence the slope of the passing through the given point is 7/5

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For the given equation, the slope is 3 and the y-intercept is -5. From the graph, it is possible to see that the point (0,0) does not satisfy the equation.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=x+19. A line equation also can be represented by the point-slope form: [tex](y-y_1)=m(x-x_1)[/tex].

m= the slope.

[tex](x_1,y_1)[/tex]= the coordinate of a point.

For the given example: m=1 and b=19.

The question gives: y + 2 = 3(x - 1). Therefore,

y + 2 = 3(x - 1)

y=3x-3-2

y=3x-5

If y=3x-5 . Here, you have a standard form of a linear equation y=mx+b. Where:

m= the slope. It can be calculated for Δy/Δx.

b= the constant term that represents the y-intercept

Thus, the slope is 3 and the y-intercept is -5.

For this, you should do a table with points

x     y= 3x-5

-2   y=3*(-2)-5=-6-5= -11

-1    y=3*(-1)-5=-3-5= -8

0   y=3*(0)-5=0-5= -5

1    y=3*(1)-5=3-5= -2

2    y=3*(2)-5=6-5= 1

Draw a graph from these points, see the attached image.

The point (0,0) does not satisfy the equation because when x=0 because y is different than zero (0). See below.

y= 3x-5, for x=0

y=3*0-5

y=0-5

y=-5

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We utilize the z statistic to find the probability percentage. Calculating the z value and then looking up the p value using the common probability tables is the process to follow. The z score formula is:

Z = (x - )/ ( / sqrt(n)

where,

Standard deviation equals 2

sample size, n With n = 5, calculating the z and p values:

The tables show that p(5) = 0.8686.

For n = 6, calculate the z and p values as follows:

The tables show that p(6) = 0.8888.

If both days to occur, the probability that each day will last no more than 11 minutes is as follows:

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After selling 35 wooden toys and after cutting the expense of setting up his booth, Emilio earns $370.

What is BODMAS?

BODMAS, often known as the order of operations, is a method for carrying out operations in an arithmetic expression. Math is all about logic and some established principles that facilitate our computations. BODMAS is one of those commonly used rules for consolidating expressions with multiple operators.

Solution Explained:
A/Q, The price of one toy is $12
        The cost of setting up the shop is $50

Therefore, the amount Emilio earns after selling 35 toys is:

(12 X 35) - 50
= 420 - 50
= 370

Hence, Emilio earns $370

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Answer:

  1300.2 µL

Step-by-step explanation:

You want to know the volume of a nautilus chamber in 8 years if it is 880 µL in year 0 and increases at 5% per year.

The growth factor is ...

  growth factor = 1 + growth rate

  growth factor = 1 + 0.05 = 1.05

Since the problem statement is about volume, we assume the growth factor applies to the chamber volume. If it applies to the linear dimension of the chamber, then the growth factor for volume will be 1.05³.

The function describing the chamber volume can be written as ...

  volume = (initial volume)(growth factor)^years

In 8 years, the chamber volume will be ...

  volume = (880µL)(1.05^8) ≈ 1300.2 µL

The chamber created in 8 years is expected to be 1300.2 µL.

__

Additional comment

If the 5% growth rate is the rate of growth of the linear dimensions of a chamber, then its volume will grow at the rate of 1.05³ per year. In 8 years, the volume will be about 2838.1 µL.

(The wording "5% larger" is ambiguous here.)

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Answer:

-0.2

Step-by-step explanation:

14.9-15.1= -0.2

To do equations like this in the beginning I used to switch the terms and then add a negative symbol in front of it

I would solve it like this

15.1-14.9

.2

And now since I switched the terms I change the sign to negative

-0.2

Hopes this helps please mark brainliest

Answer:

it is d

Step-by-step explanation:

Answer: Down Below ↓

Step-by-step explanation: Here's an easy tip for measuring the angles of triangles. Every triangle has a sum (total) of 180 degrees. Take the two angles that are already shown, add them together, then subtract them from 180.

I cannot read the numbers on the paper, so I hope this answer somewhat helps.

Edit: Oh my lord, it's a coloring page too? I remember those, they suck. :')

Answer:

not positive or negative

Step-by-step explanation:

It is 0 but i would say it is positive nor negative :)

0, It not really postive or negative

37 + -37 = 0 =

Neither negative nor positive

:/

2(f-25) = 86 is the equation use to find f, the cost of each drill set at full price.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, Ariana purchased two drill set from a sale, each of them costs $25 less than its original price,

If f is the original price, then she must have purchased it at (f-25) and for two sets it's 2(f-25)

She paid $86 for her purchase, so,

2(f-25) =  $86

Hence, 2(f-25) = 86 is the equation use to find f, the cost of each drill set at full price.

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Answer:

The range is 9.

Step-by-step explanation:

The range of a data set is the difference between the maximum and the minimum values.

Let's begin by putting the set of values in order from lowest to highest.

12, 14, 15, 16, 17, 17, 21

The lowest value is 12, and the highest value is 21.

Let's subtract the minimum value from the maximum value to determine the range:

21 - 12 = 9

Hope this helps :)

Answer:

Step-by-step explanation:

Put them in order (lowest to highest)

so,

12, 14, 15, 16, 17, 17, 21

to find the range : highest - lowest

21 - 12 which is 9

Thanks

x-intercept is (-250, 0) and y-intercept is (0, 100)

What is  x-intercept and  y-intercept

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.

First, find x-intercept

For x-intercept it means y = 0

observe the graph and see the blue line cuts the x-axis when y = 0

We see, x = -250

so, the x-intercept is = (-250, 0)

Now, same thing do to find y-intercept

For y-intercept it means x = 0

observe the graph and see the blue line cuts the y-axis when x = 0

We see, y = 100

so, the y-intercept is = (0, 100)

Therefore, x-intercept is (-250, 0) and y-intercept is (0, 100).

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Answer:

25

Step-by-step explanation:

the equation is a^2+b^2=c^2

7^2=49

24^2=576

49+576=625

the square root of 625 is 25

The equation of the absolute value graph is f(x) = |x - 3| + 5

The graph represents the given parameter

From the graph, we can see that the graph is an absolute value graph

An absolute value graph is represented as

f(x) = a|x - h| + k

Where h and k are the vertex of the graph

In this case, they are

h = 3 and k = 5

This is because the minimum point of the graph is (3, 5)

Substitute values for h and k in the form of the equation

So, we have the following representation

f(x) = a|x - 3| + 5

A point on the graph is (2, 6)

This gives

a|2 - 3| + 5 = 6

When the value of variable a is solved, we have

a = 1

So, the equation becomes

f(x) = 1 * |x - 3| + 5

Evaluate the products

f(x) = |x - 3| + 5

Hence, the equation of the graph is f(x) = |x - 3| + 5

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Answer:

The answer is 3.

Step-by-step explanation:

The highest coefficient is 3 (5x^3), the second one is 2 (4x), and the other two without coefficient are considered 1.

a) The value of x is -6

b) The value of the expression is -3 .

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

a) x-2=xy+16

y= 4 a solution to the equation

Substitute y=4 into the equation.

x-2=x(4)+16

x-2=4x+16

-2-16=4x-x=3x

-18=3x

x=- 18/3= -6

The value of x is -6

b)  [tex]x^y+xy^2[/tex]

substitute x= -3 and y =2

(-3)²+(-3)(2)²

= 9 - 12

= -3

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The slope of the line that passes through the points is 1/ 4

The gradient or slope of a line is a value or number describing both the direction and the steepness of a line.

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/ x₂ - x₁

Where;

Now, substitute the values, we have;

Slope, m = (-11 - ( -10)/ ( -4 - 0)

expand the brackets

Slope, m = - 11 + 10/ -4

Add the values

Slope, m = -1/ -4

Divide the values

Slope, m = 1/ 4

Hence, the value is 1/ 4

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Answer:

1/4

Step-by-step explanation:

After evaluating those terms,

we get the answer as

1.  -7/6 - (-1/9) =[tex]\frac{-19}{18}[/tex]

2.  -1/3 + 5/7   = = [tex]\frac{8}{21}[/tex]

A fraction is a number that has a numerator as well as a denominator.

1 / 2  is an example of a fraction. The top part of the fraction is the numerator and the bottom part of the fraction is the denominator.

Fractions represent one value. Dividing the numerator by the denominator shows what decimal value fractions have. For example,  1/2  is equal to 1  ÷  2 which equals 0.5.

in this we have to evaluate

1.    -7/6 - (-1/9)

= [tex]\frac{-7}{6}[/tex]  - ([tex]\frac{-1}{9}[/tex])

= [tex]\frac{-21+2}{18}[/tex]

=[tex]\frac{-19}{18}[/tex]

Hence , after solving we get the desired result as -19/18 .

2. -1/3 + 5/7

= [tex]\frac{-1}{3}[/tex] + [tex]\frac{5}{7}[/tex]

= [tex]\frac{-7 + 15}{21}[/tex]

= [tex]\frac{8}{21}[/tex]

Hence, after solving we get the desired result as 8/21 .

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The equation of the given graph is y = (x + 4)² -5.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The vertex form of a parabola is y = (x - h)² + k which is opened upward direction and vertex is (h, k).

From the graph, the vertex of the quadratic equation is (-4, -5)

Thus h = -4 and k = -5.

Putting h = -4 and k = -5 in y = (x - h)² + k

y = (x - (-4))² + (-5)

y = (x + 4)² -5

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Since it is labeled that this triangle has two equal sides, it is isosceles. Isosceles triangles' acute angles are always congruent, so we can infer that there are two angles with a measurement of 29 degrees. Knowing that all of the angles in a triangle add up to 180 degrees, we can set up this equation:

2*29 + 11x - 65 = 180

58 + 11x - 65 = 180

-7 + 11x = 180

11x = 187

x = 17

Knowing that "x = 17" we can find the measurement of the obtuse angle:

11*17 - 65

= 187 - 65

= 122

Answer:

5

Step-by-step explanation:

Answer:

  $1280

Step-by-step explanation:

You want the cost of flooring a cubic 4096 ft³ room at $5 per square foot.

Each dimension (length, width, height) of the room is the edge length of a cube with a volume of 4096 ft³.

  V = s³

  4096 = s³

  ∛4096 = s = 16 . . . . feet

The floor area is the square of the edge length:

  A = s²

  A = (16 ft)² = 256 ft²

At $5 per square foot, the cost of flooring will be ...

  ($5/ft²)(256 ft²) = $1280

The hardwood floors will cost $1280.

The probability that Joe and Mathew would have to purchase no books on this visit to the bookstore is given as 0.125.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We are to find the probability where p(x) = 0 and p(y) = 0

This is where we would have

from the table,  p(x) = 0 is 0.5

p(y) = 0 is 0.25

0.25 x 0.5 = 0.125

Hence the probability that no books would be bought is 0.125.

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Answer:

x=-6

Step-by-step explanation:

-18x=108

/-18. /-18

x=-6

Hopes this helps please mark brainliest

Divide both sides by −18.

Divide 108 by −18 to get −6.

The missing parts of the table for the function are 49, 1 and 49 respectively

An exponential function is a type of function which involves exponents. A simple exponential function is of the form y = bˣ

Given:  the exponential function y = (1/7)ˣ

In order to find the missing parts, we have to substitute the relevant values into the function. Thus:

For x = -2:

y = (1/7)ˣ

Substitute x = -2 into the function:

y = (1/7)⁻² = 49

For x = 0:

y = (1/7)ˣ

Substitute x = 0 into the function:

y = (1/7)⁰ = 1

For x = 2:

y = (1/7)ˣ

Substitute x = 2 into the function:

y = (1/7)² = 1/49

The missing part is 49

Therefore, the missing parts of the table are 49, 1 and 49 respectively

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Answer:

the fourth one is the right one

Answer:

The result is 2 hours

Hope this helped!

Answer:

  (9, 7)

Step-by-step explanation:

You want the coordinates of the image of point (9, -7) after it has been reflected across the x-axis.

The image point will be as far above the x-axis as the original point is below the x-axis. The y-coordinate of -7 tells you the point is 7 units below the x-axis. The reflected point will be 7 units above the x-axis, so will have a y-coordinate of +7.

The image coordinates are (9, 7).

__

Additional comment

Reflection across the x-axis changes the sign of the y-coordinate.

Reflection across the y-axis changes the sign of the x-coordinate.

Answer:

Yes they are equivalent.

Step-by-step explanation:

$12 divided by 3 is $4
$36 divided by 9 is also $4
Therefore they are equivalent.

Your welcome

Answer:

Yes!

Step-by-step explanation:

You divide 3 by 12 because that's how much they work for an hour. That means they make $36 for 9 hours.
12 ÷ 3 = 4

36 ÷ 9 = 4

They have the same answer which makes them equivalent.