Question is below :)

M1 = 65°

M2= 75°

all three angles is 180°

M7 = 40°

7 and 6 are identical angles corresponding

M6= 40°

Answer:

B. (-6, -9)

D. (12, 3)

Step-by-step explanation:

y=mx+b is the format for this problem.

2/3 is m and -5 is b

The b is the y-intercept which is the point where the line crosses from one side of the graph to the other horizontally. You can see at -5, that is where that happens.

Then, to find the second point, you would move the -5 up 2 and right 3 points because the slope is 2/3.

You can then look at another point of the graph to find (-6, -9)

*Changed my answer from just B to B and D

Answer:

an+4n+1

Step-by-step explanation:

Hope it helped

Answer:

D. addition property of equality

Step-by-step explanation:

The elimination method requires you to add the two equations together to find a simplified equation.

Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

A mathematical equation is an expression with equality on both sides of the equal to sign that connects two other expressions. Think about the equation 3y = 16 as an illustration.

To find the value of k, we need to use the information given to solve for k in the equation T = Ta + (To - Ta) * \(e^(-kt)\), where T is the temperature of the can of soda, Ta is the ambient temperature (73°F), To is the temperature of the refrigerator (39°F), and t is the time elapsed in minutes.

We know that after 15 minutes, the temperature of the can of soda reaches 61°F, so we can substitute these values into the equation and solve for k:

61 = 73 + (39 - 73) * \(e^(-k * 15)\)

-12 = -34 * \(e^(-15k)\)

0.3529 =\(e^(15k)\)

㏒(0.3529) = 15k

k = -0.0301

So k is approximately -0.0301, rounded to the nearest thousandth.

To find the temperature of the can of soda after 115 minutes, we can use the same equation with the value of k we just found:

T = 73 + (39 - 73) * \(e^(-0.0301 * 115)\)

T = 73 + (-34) * \(e^(-3.47)\)

T = 73 + (-34) * 0.54

T = 54.62

Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

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The percentage of each is 0.66% , 1.65% , 2.97% , 37.21% , 37.48%, 20.1% respectively

The percentage of the total for each layer is calculated by dividing the depth of the layer in kilometers by the total depth

Percentage = (layer depth in km / total depth) × 100%

Crust= (40 / 6046) × 100 = 0.66%

Lithosphere = (100 / 6046) × 100 = 1.65%

Asthenosphere = (180/6046) × 100 = 2.98%

Mantle = (2250/6046) × 100 = 37.21%

Outer core = (2266/6046) × 100 = 37.48%

Inner core = (1210/6046) × 100  = 20.01%

The Depth in centimeters for each layer multiply the depth of the jar, 16.5 cm, by the percent you calculated for the crust

Crust = 0.66 × 16.5 cm =0.11 cm

Lithosphere = 1.65 × 16.5 = 0.27 cm

Asthenosphere = 2.98 × 16.5 = 0.49 cm

Mantle = 37.21 × 16.5 = 6.14 cm

Outer Core = 37.48 × 16.5 = 6.18 cm

Inner Core = 20.01 × 16.5 = 3.30 cm

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The question is incomplete the complete question is :

i. Divide the depth of the layer by the total depth. For example, to calculate the percentage of the total depth that the crust represents, divide 40 by 6,046.

ii. Write your answer in the Percent column.

iii. Repeat for the rest of the layers.

Use the calculator to determine the depth in centimeters for each layer. This is the depth of sand

you will put in your jar.

i. Multiply the depth of the jar, 16.5 cm, by the percent you calculated for the crust.

ii. Write your answer in the Centimeters column.

iii. Repeat for the rest of the layers.

To ensure logical coherence in the proof, the steps that need to be rearranged are steps 3 and 4. Swapping these steps will help maintain the proper sequence and flow of the proof.

In any logical proof, the order of steps is crucial to ensure a coherent and valid argument. By examining the given options, we find that swapping steps 3 and 4 is necessary. This rearrangement allows the steps to follow a logical progression, ensuring that each step builds upon the previous ones.

By making this adjustment, we can maintain the proper order and coherence of the proof, leading to a more effective and valid argument.

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Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The Above expression can be Evaluated to get :

or

Answer:the first one is the one in the 2 box and the 3rd is the last one

Step-by-step explanation:

If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.

Let the total number of games played by Perry be x.

It is given that, Salazar played 13 more tennis games than Perry.

⇒ Total games played by Salazar = x + 13

Also, Salazar and Perry played a combined of 53 games.

Hence, total number of tennis games played by Salazar and Perry = 53

⇒ Games played by Salazar + Games played by Perry = 53

⇒  x + (x + 13) = 53

2x + 13 = 53

2x = 53 - 13

2x = 40

x = 40 / 2

x = 20

Therefore, total number of games played by Salazar = x+13

= 20 + 13

= 33

Thus, Salazar played total 33 games.

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Answer:

Where its the graph??????

Answer:

Width=3 cm

Length=5 cm

Answer

• a) Range: (-∞, –1)

• b) Horizontal asymptote when x ≤ 2: y = –3. Vertical asymptote when x > 2: x= 2. Horizontal asymptote when x > 2: y = –1.

• c) When x decreases, it approaches –3, and when x increases, it approaches –1.

Explanation

• Part A: Graph the piecewise function f (x) and determine the range.

Using a graphing tool we can get the following graph:

As the range is all the y-values included in the function, we can see that in this case, the range is:

• Part B: Determine the asymptotes of f (x). Show all necessary calculations.

We have to get the asymptotes from the part where x ≤ 2 and x > 2.

In x ≤ 2 we do not have a vertical asymptote as it is not a rational function, but we do have a horizontal asymptote, which is y = k when we have the function:

Thus, in our case y = –3.

In x > 2, we do have a vertical and horizontal asymptote. We can get the vertical asymptote by setting the denominator of the function to 0:

If we solve the expression by factoring we get two solutions:

Based on our function we can see that the vertical asymptote is x = 2 when x > 2. Then, the horizontal asymptote can be calculated with the limit:

Thus, our horizontal asymptote is y = –1 when x > 2.

• Part C: Describe the end behavior of f (x).

The end behavior of a function is how the function acts when x increases or decreases. Based on our graph we can see that when x decreases, it approaches –3, and when x increases, it approaches –1.

Two factors of -48 have a difference of 19. The factor with a greater absolute value is positive. The sum of the factors is 13.

The factors of 48 are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48

Two factors of - 48 are -16, 3 or -3, 16.

Their difference is

3 - (-16) = 19 or 16 - (-3) = 19

Case 1 - If the two factors are - 16 and 3

Sum of the factors = -16 + 3 = -13

Consider the absolute sum |-13| = 13

Case 2 - If the two factors are 16 and -3

Sum of the factors = 16 - 3 = 13

Consider the absolute sum |13| = 13

Therefore, the sum of the factors is 13.

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Answer:

B

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

APEX

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Not enough data

Step-by-step explanation:

If the slopes are equal, we can conclude that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

To prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side, we can follow these steps:

Assign (x, y) coordinates to points A, B, and C: Let's assume that point A has coordinates (x1, y1), point B has coordinates (x2, y2), and point C has coordinates (x3, y3).

Calculate the coordinates of the midpoints: The midpoint of AB, denoted as M, can be calculated as ((x1 + x2)/2, (y1 + y2)/2), and the midpoint of AC, denoted as N, can be calculated as ((x1 + x3)/2, (y1 + y3)/2).

Calculate the slope of MN: The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1)/(x2 - x1). So, the slope of MN is ((y1 + y3)/2 - y1)/((x1 + x3)/2 - x1).

Calculate the slope of AB: Similarly, the slope of AB is (y2 - y1)/(x2 - x1).

Show that the slopes are equal: Compare the slope of MN with the slope of AB. Simplify the expressions and check if they are equal. If the slopes are equal, it means that the segment joining the midpoints is parallel to the third side of the triangle.

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Answer:

Step-by-step explanation:

The area of a right triangle is A=(1/2)base*height

A=(1/2)(b)(h)

200ft²=(1/2)(10ft)h

200ft²=5ft(h)

40ft=h

Using Pythagorean Theorem for a right triangle a²+b²=c²

a²+b²=c²

(40ft)²+(10ft)²=c²

1600ft²+100ft²=c²

1700ft²=c²

√(1700ft²)=c

10√17=c

41.231056256=c

41.2≅c

Answer:

54°

68°

2°

135°

91°

Step-by-step explanation:

Answer:

Step-by-step explanation:

42cm=420mm       That's times 10

.837kg=837g         That's times 1000

89milliliter=.089liters       That's divided by 1000

.72meters=.00072     That's divided by 1000

267cm=.0027 kilometers     divided by 100,000

Step-by-step explanation:

Let x = m² and y = 4n.

Then m⁶ - 64n³ = x³ - y³

= (x - y)(x² + xy + y²)

= (m² - 4n)(m⁴ + 4m²n + 16n²).

80 middle school students prefer the documentaries television genre.

None of the given options match exactly, but the closest one is 76.

A circle graph, also known as a pie chart, is a type of chart that displays data as a circular diagram, divided into slices to represent proportions of a whole. Each slice of the circle represents a percentage of the total data being represented, and the entire circle represents 100% of the data.

Based on the circle graph, the percentage of students who prefer documentaries is 16% (as the percentage for documentaries is missing from the given options, we need to calculate it).

To find out the actual number of students who prefer documentaries, we need to multiply this percentage by the total number of students in the sample:

16% of 500 = (16/100) x 500 = 80

Therefore, 80 middle school students prefer the documentaries television genre.

None of the given options match exactly, but the closest one is 76.

Circle graphs are commonly used to show proportions or percentages of different categories within a dataset. They are useful for displaying data in a way that is easy to understand, and they are often used in business and finance, as well as in education and research.

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Answer:

$12

Step-by-step explanation:

Given data

Radius= 2in

cost = $4

New jaw breaker radius= 6in

cost=???

If 2 in jaw breaker cost $4

6in jaw breaker will cost x

cross multiply

6*4= 2*x

24= 2x

x= 24/2

x= $12

Hence the 6 in jawbreaker will cost $12

We solve as follows:

*Since angles 1 & 3 are opposite to congruent sides, then they are congruent too. Also, since their opposite by the vertex angles are also opposite to congruent sides we can determine that angles 1 & 3 are both equal to 90°.

Using the previous information, we determine angle 2:

37° + 90° + m<2 = 180° => m<2 = 53°

So, angle 2 has a measure of 53°.

Now, we proceed as follows:

*Since both triangles [Upper one and lower one] are congruent by SSS, then we have that angle 5 has a measure of 37° and therefore angle 4 has a measure of 53°.

In order:

m<1 = 90°

m<2 = 53°

m<3 = 90°

m<4 = 53°