3 A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the back row. The teacher randomly assigns seats to students as they enter the classroom. What is the probability that the first student who enters the classroom will be assigned a seat in the front row? 2 5 A 2 3 B 4 11 4 15

Answer:

y=-x+2

Step-by-step explanation:

Take two points and solve for the slope using: (y2-y1)/(x2-x1)=m

Then take the slope and plug it into the slope-intercept equation, y=mx+b.

Finally, take a xy pair and plug it into your equation to solve for b.

Answer:

53 divided by 12 is 4.4167

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

The sequence is an AP the rule is common difference  it's called arithmetic progression.

Parallel streets are roads that run alongside each other without intersecting. An example of this can be seen with 7th Avenue and 8th Avenue in New York City.

In the realm of Geography, the concept of parallel streets refers to streets that run concurrently to each other without ever intersecting. Imagine two streets in your town or city that never meet regardless of how far they stretch - they maintain the same distance apart. For example, in New York City, 7th Avenue and 8th Avenue run parallel to each other on the west side of Manhattan.

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Answer:

Step-by-step explanation:

The first thing to do is get a graph of the function if you can.

The graph helps you see the following.

Answer:

Increasing:  on the interval of x: (-∞, 0)

Decreasing: on the interval of x: (0, ∞)

Step-by-step explanation:

See attached photos, one is done using calculus, the other is done using the graph.  (I'm not sure which level of math you are in)

*For the graph, you can see that f(x) is always increasing from  (-∞, 0), and always decreasing from (0, ∞)

The new coordinations would be (6,8)

Answer:

(6, 8)

Step-by-step explanation:

The y- axis (the vertical axis) acts as a mirror point.  When reflecting over the y axis, the y value will stay the same.  Think about looking into a mirror on your wall, your height is the same on both sides of the vertical reflecting object

The x-value will change and be the other side of the y-axis.  It will be the same distance away from the y-axis that is was, but will have an opposite sign.

Here is was 6 units to the left of the y-axis (where x values are negative), now it is 6 units to the right of the y-axis (where x values are positive)

2318.4 is the correct wander

Answer:

The answer is 672.

Step-by-step explanation:

To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).

8 x 8 x 2 = 128

8 x 11 x 2 = 176

8 x 11 x 2 = 176

Then, add of the products together to find the surface area of the rectangular prism.

176 + 176 + 128 = 480

Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).

8 x 8 = 64.

64 ÷ 2 = 32.

SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).

32 x 4 = 128.

Now, let's tackle the square. All you have to do is find the area of the square.

8 x 8 = 64.

To find the surface area of the total square pyramid, add both surface areas.

128 + 64 = 192.

Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.

192 + 480 = 672.

Therefore, 672 is the answer.

Answer:

No solution, a triangles angles must measure up to 180 degrees, and that clearly isnt close to it. Therefore, the answer is no solution. An obtuse is an angle greater than 90 degrees, whereas an acute is less.

Step-by-step explanation:

Answer:

(w + 11)(w + 7)

Step-by-step explanation:

Consider the factors of the constant term ( + 77) which sum to give the coefficient of the w- term ( + 18)

The factors are + 11 and + 7, since

11 × 7 = 77 and + 11 + 7 = + 18

w² + 18w + 77 = (w + 11)(w + 7)

Answer:

[tex]\large\boxed{w^2+18w+77=(w+11)(w+7)}[/tex]

Step-by-step explanation:

[tex]w^2+18w+77\\\\77=7\cdot11\\18=7+11\\\\w^2+18w+77=w^2+11w+7w+77=w(w+11)+7(w+11)\\\\=(w+11)(w+7)[/tex]

[tex]\text{Use:}\ (a+b)^2=a^2+2ab+b^2\\\\w^2+18w+77=0\qquad\text{subtract 77 from both sides}\\\\w^2+18w=-77\\\\w^2+2(w)(9)=-77\qquad\text{add}\ 9^2\ \text{to both sides}\\\\w^2+2(x)(9)+9^2=-77+9^2\\\\(w+9)^2=-77+81\\\\(w+9)^2=4\to w+9=\pm\sqrt4\\\\w+9=-2\ \vee\ w+9=2\qquad\text{subtract 9 from both sides}\\\\w=-11\ \vee\ w=-7\\\\(w-(-11))(w-(-7))=(w+11)(w+7)[/tex]

Area = r^2 x PI

to find r take the square root of the area:

r = √100 = 10

The circumference of a circle is the diameter times PI.

The diameter is 2 times r = 2 x 10 = 20

The circumference = 20PI m

The answer is C.

Answer:

DC = 6

Step-by-step explanation:

Given in the question,

radius = 3x

tangents to the circle = 12 + 5x and 8 + 7x

If you draw line from A to D, two right angle triangle will be form ADC and ADB

having radius  = 3x

Since, both triangle share same hypotenuse AD

so,

3x² + (8 + 7x)² = 3x²  + (12 + 5x)²

3x² will be cancel out

(8 + 7x)² =  (12 + 5x)²

64 + 112x + 49x² = 144 + 120x + 25x²

rearranging like terms

49x²-25x² +112x - 120x + 64 -144 = 0

24x² - 8x - 80 = 0

(x- 2)(x + 5/3)

x = 2

x = -5/3 rejected as radius can't be negative

So,

length of radius = 3x = 6

Answer:

x + 2

Step-by-step explanation:

3x^3 - 12x

=3x(x^2 - 4)

= 3x(x + 2)(x - 2)

so (x+2), (x - 2) and 3x are the factors of 3x^3 - 12x

answer:

x + 2

Answer:

x + 2

Step-by-step explanation:

given

3x³ - 12x ← factor out 3x from each term

= 3x(x² - 4) ← x² - 4 is a difference of squares, hence

= 3x(x - 2)(x + 2) ← fully factorised

hence x + 2 is a factor of the polynomial

Answer:

The correct answer would be (1, 3, 3, 4, 5, 6)

Step-by-step explanation:

The reason why it is this answer is because there is one X above 1, two X's above 3, one X above 4, one X above 5, and one X above six. Moving up in the numbers, depending on how many X's there are above each number, you can easily tell that the dot plot shows the data of 1, 3, 3, 4, 5, and 6.

Answer is D

Step-by-step explanation:

Write down each number there is a X on and you get the numbers for answer choice D

Answer:

f(- 2) = 1

Step-by-step explanation:

Evaluate f(- 2) by substituting x = - 2 into f(x)

f(- 2) = - 2(- 2) - 3 = 4 - 3 = 1

Answer:

Yes The triangles are similar by SAS Similarity Theorem

Step-by-step explanation:

we know that

Side-Angle-Side Similarity, states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar

In this problem

Angle  L is congruent with Angle Z

so

Verify if the included sides are proportional

so

[tex]\frac{LJ}{ZY}=\frac{KL}{XZ}[/tex]

substitute the values

[tex]\frac{3}{1.5}=\frac{4}{2}[/tex]

[tex]2=2[/tex] -----> is true

therefore

The triangles are similar by SAS

Answer: A=jack

Step-by-step explanation:

Answer:

Choice A (Jack)

Step-by-step explanation:

Hope this helps!

Answer:

V = 490 cm^3

Step-by-step explanation:

V = l*w*h

V = 7*10*7

V = 490 cm^3

To find the volume of a rectangular prism, we use the formula

Volume = length × width × height.

Since the rectangular prism has a length of 10 cm, a width of 7 cm, and a height of 7 cm we can plug this information into the formula.

(10 cm) (7 cm) (7 cm)

10 × 7 = 70

70 × 7 = 490 cm³

To simplify the expression 7√5-3√80, the second term is broken down and then subtracted from the first term, resulting in the final simplified answer of √5.

To simplify the expression 7√5-3√80, we should first break down the second term, 3√80, into simpler terms.

The second term can be rewritten as 3√(4*20), since 4*20 = 80. Then this can be further broken down into 3√(4*4*5) which equals 3*2√5. In other words, 3√80 equals 6√5.

So, the original expression, 7√5-3√80, can now be rewritten as 7√5 - 6√5.

Since these two terms share the same radical, √5, you can subtract them just like you would subtract regular numbers. So, 7√5 - 6√5 equals 1√5, which simplifies further to √5.

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To simplify the given expression, we simplify the square roots and combine like terms. The expression simplifies to -5√5.

To simplify the expression 7√5-3√80, we need to simplify the square roots.

The square root of 5 cannot be simplified further, but the square root of 80 can be simplified as the square root of 16 times the square root of 5.

Therefore, the expression becomes 7√5 - 3√16√5.

The square root of 16 is 4, so the expression simplifies to 7√5 - 3(4)√5. Continuing to simplify, we get 7√5 - 12√5.

Combining the like terms, we have (7-12)√5, which simplifies to -5√5.

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Answer:

7 is the number of how many days are in a week. So 7 x 3 is 21. That is less than 24 days. 24 days is 3 weeks and 3 days.

Step-by-step explanation:

Well, there is 7 days in a week.

So, in 3 weeks, there are 3 times more days than 7 days.

Therefore, there are 21 days in three weeks, and 24 days are more than 21 days, or three weeks.

Answer:

19 bears, 38 boxes of candy.

Step-by-step explanation:

We can use a system of equations (b = # of bears, c = # of candy boxes):

b + c = 57, 8b + 6c = 380.

We can use substitution by isolating b in the first eq.: b = 57 - c, then substitution b with 57 - c in the second eq.: 8(57 - c) + 6c = 380.

Then, we solve: 456 - 8c + 6c = 380, 76 = 2c, c = 38 candy boxes.

Finally we plug in 38 for c in the first eq.: b + 38 = 57, b = 19 bears.

Answer:

6(7 - 3y) + 6(y + 1) = 42 - 18y + 6y + 6 =

-12y + 48 = 12(4 - y)

The expression 6(7-3y)+6(y+1) simplifies to 48-12y by distributing the 6 and combining like terms.

To simplify the expression 6(7-3y)+6(y+1), we need to apply the distributive property and then combine like terms.

The simplified equivalent expression is 48 - 12y.

To check that the expression is reasonable, you can substitute values for y and see if the original and the simplified expressions yield the same result.

Thus, for the given equation, the result is obtained as: 48 - 12y.

The answer is B.

This is because the formula is length × width.

So the 3 formulas we would have are 2 × 4, 4 ×3, and 3 × 2.

This means your possible answers are 8, 12 and 6.

The only answer that matches up is 6 or B.

The area of a rectangular prism is [tex]6m^{2}[/tex] since option B is correct.

The surface area of a rectangular prism may be determined using the following formula because all of its faces are rectangles and opposite faces are equal: 2 (width x length) + (length x height) + (width x height) = Surface Area

Because the formula is length x width, this is the case.2×4, 4×3, and 3×2 are the three formulas we'd have.As a result, your options are 8, 12, and 6.The only answers that are correct are 6 or B.

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The option (D) the range is 70 and the midrange is 35 is correct option (D) would be correct.

It is defined as the difference between the maximum value in the data set to the minimum value in the data set.

The range is a quick yet effective technique to understand the distribution of the numbers in the data collection. Furthermore, since it simply calls for a simple arithmetic operation, it is simple to calculate. The standard deviation, a different measure of spread, can also be estimated using the range.

Range = max value - min value

Range = 85 - 15

Range = 70

Mid range = 70/2 = 35

Thus, the option (D) the range is 70 and the midrange is 35 is correct option (D) would be correct.

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Without specific statements to evaluate, we can't determine which is true for the set of numbers given. These numbers could represent heights in inches, and more context is needed to provide an accurate answer.

The student may be asking which statement regarding the listed set of numbers is true. These numbers are 20, 15, 50, 85, 75, 60. Without knowing the specific statements, we cannot definitively say which one is true or false. However, we can examine the statistics provided for a different data set of students' heights and base our answer on typical statistical questions.

A true statement about this set could be related to trends, averages, medians, modes, ranges, or any other statistical measure. For example, if asked whether this set of numbers could represent a set of heights, the answer could be true, assuming these numbers are in inches since all fall within a plausible range of human heights.

More context or specific questions about the data set would be needed for a more precise answer. The reference information about the heights of students, percentile data, and uniform distributions provide examples of typical problems in a statistics class.

Answer:

∠MNO = 51°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

3x + 15 + 2x + 25 + 5x + 10 = 180 ← simplify left side

10x + 50 = 180 ( subtract 50 from both sides )

10x = 130 ( divide both sides by 10 )

x = 13

∠MNO = 2x + 25 = (2 × 13) + 25 = 26 + 25 = 51°

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x----> the number of pizzas

we know that

The inequality that represent the situation is

[tex]x>20[/tex]

The solution is all real numbers greater than 20

In a number line the solution is the shaded area to the right of the dashed line at x=20 (open circle)

see the attached figure

Answer:

A

Step-by-step explanation:

Hope this helps Bai! I did it on edg btw! <3

Answer:

[tex]\large\boxed{x-intercepts:-2\ and\ 4}[/tex]

Step-by-step explanation:

[tex]m(x)=\dfrac{x^2-2x-8}{x^2-x-2}\\\\\text{At the beginning we de}\text{fine the domain:}\\\\D:x^2-x-2\neq0\\\\x^2-2x+x-2\neq0\\x(x-2)+1(x-2)\neq0\\(x-2)(x+1)\neq0\iff x-2\neq0\ \wedge\ x+1\neq0\\\boxed{x\neq2\ \wedge\ x\neq-1}\\================================\\\text{The x-intercept is for}\ m(x)=0.\ \text{Therefore we have the equation:}\\\\\dfrac{x^2-2x-8}{x^2-x-2}=0\iff x^2-2x-8=0\\\\x^2+2x-4x-8=0\\x(x+2)-4(x+2)=0\\(x+2)(x-4)=0\iff x+2=0\ \vee\ x-4=0\\\\x=-2\in D\ \vee\ x=4\in D[/tex]

Answer:

y = 3

Step-by-step explanation:

The side labeled 'y' is the 'adjacent side' of the 30° angle.  The hypotenuse of this right triangle is 2√3.

The trig function relating this 30° angle, the 2√3 hypotenuse and the adj. side labeled 'y' is the cosine:

                 adjacent side          y

cos 30° = ---------------------- = --------- , and the value of cos 30° is (√3)/2.

                        2√3                2√3

Solving for y, we get 2√3 (√3)/2, or y = 2(3)/2, or y = 3

-3 because below is less and 3 less than zero is -3

6 because sea level would be zero and 6 above is 6

-5 cause your losing 5 pounds which means its 5 less so -5

4 because say you have zero dollars then you find 4 you now have positive 4