Find the mean of the data in the dot plot below. chocolate chips A number line labeled Chocolate chips in different cookies in a package is labeled from left to right 0 through 10 scaling by ones. The number line is labeled Number of chocolate chips. The dot distribution is as follows: 0, 1; 5, 1; 7, 1; 8, 2.

The missing reasons for each of the given statements are respectively;

1) Substitution

2) Definition of a Straight angle because a straight angle is 180°.

3) Congruent Angles have equal measures

We are given that;

m∠1 = 90°

m∠1 + m∠2 = m∠5

∠3 ≅ ∠4

Statement 1; 90° + m∠2 + m∠4 = 180°

Reason 1; Substitution

Statement 2; m∠1 + m∠2 + m∠3 = 180°

Reason 2; Definition of a Straight angle because a straight angle is 180°.

Statement 3; m∠3 = m∠4

Reason 3; Congruent Angles have equal measures

Thus, the missing reasons for each of the given statements are respectively;

1) Substitution

2) Definition of a Straight angle because a straight angle is 180°.

3) Congruent Angles have equal measures

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Answer:

The answer is below

Step-by-step explanation:

The profit equation is given by:

p(t)= -25t³+625t²-2500t

The maximum profit is the maximum profit that can be gotten from selling t trailers. The maximum profit is at point p'(t) = 0. Hence:

p'(t) = -75t² + 1250t - 2500

-75t² + 1250t - 2500 = 0

t = 2.3 and t = 14.3

Therefore t = 3 trailers and t = 15 trailers

p(15) = -25(15³) + 625(15²) - 2500(15) = 18750

Therefore the company makes a maximum profit of approximately $18750 when it sells approximately 15 trailers.

Answer:

See below

Step-by-step explanation:

Since t is number of trailers, the domain includes only those values greater than 0.

On the relevant domain, the graph crosses the x-axis at the points (5,0) and (20,0). Between these points, the value of p(t) is positive. So the company makes a profit when it sells between 5 and 20 trailers.

On the positive interval between these points, the graph reaches a relative maximum when t roughly equals 14 and p(t) roughly equals $19,000.

So the maximum profit of approximately $19,000 occurs when it sells approximately 14 trailers.

Answer:

Rotate 90 clockwise wxyz

Step-by-step explanation:

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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The equation of the circle with the center (0, 4) and a point (-1, 8) on the circle is x² + (y - 4)² = 17.

The standard form equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

Given that the center is (0, 4) and a point (-1, 8) is on the circle, we can calculate the radius using the distance formula:

\(r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\r = \sqrt{(-1 - 0)^2+(8-4)^2} \\\\r = \sqrt{(-1 )^2+(4)^2} \\\\r = \sqrt{1+16} \\\\r = \sqrt{17}\)

Now, let's plug the values of the center (0,4) and the radius √17 into the standard form of the equation of a circle:

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 4)² = (√17)²

Simplify

x² + (y - 4)² = 17

Therefore, the equation of the circle is x² + (y - 4)² = 17.

Option C) x² + (y - 4)² = 17 is the correct answer.

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The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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Answer:  D

Step-by-step explanation:

This is a piecewise function.  Normally cos x and tan x are continuous functions on their own. but you are using cos x as part and tan x as other part.

In order to see if the function is continuous at 0 plug in 0 for both functions.  If it is the same then it is continuous, if different then it is discontinuous.  There are no asymptotes in either of the functions so there wouldn't be in any of your answers

2 cos x

2 cos 0               > use unit circle to solve

2 (1)

2

2 + tan x

2 + 0

2

You get the same answer from both functions and one of the symbols is ≥, so the function is continuous.

D is your answer

The teacher made a mistake. None of the answer choices work because 2+tan(x) has infinitely many vertical asymptotes. Each time there's a vertical asymptote, there's a disconnect.

The answer should be something like \(\text{The function is continuous almost everywhere except}\\\text{when x} = \frac{\pi}{2}+n\pi, \ \text{where n is an integer and n} \ge 0\)

For instance, if n = 0 then x = pi/2 leads to an asymptote.

Answer:

expanded form:  x= (159)/(10) decimal form: 15.9 mixed number form: x= 15(9)/(10) hope im right

Answer:

not e

Step-by-step explanation:

Answer:

20 x 5 = 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

if one of the end points of the diameter is at the origin and the radius is 3 then the the equation of the circle in general form is:x² + y² - 3x = 0

An equation is a statement that shows the relationship between two or more variables using mathematical symbols. It expresses the equality or inequality between the values of the variables on either side of the equation.

According to the given information :

Since one of the endpoints of the diameter is at the origin, we know that the center of the circle is also at the origin. Let (x, y) be any point on the circle. Then, using the distance formula, we have:

√(x² + y²) = 3

Squaring both sides, we get:

x² + y² = 9

So, the equation of the circle in standard form is:

x² + y² - 9 = 0

Another way to write the equation of the circle is in general form, which is:

x² + y² + Dx + Ey + F = 0

where D, E, and F are constants. To find the values of D, E, and F, we substitute the coordinates of one of the points on the circle into the general form equation:

(0)² + (0)² + D(0) + E(0) + F = 0

F = 0

So, the equation of the circle in general form is:

x² + y² + Dx + Ey = 0

To find the values of D and E, we substitute the coordinates of another point on the circle into this equation. Let's use the point (3, 0) since we know it lies on the circle. Substituting these values, we get:

(3)²+ (0)² + D(3) + E(0) = 0

9 + 3D = 0

D = -3

Therefore, the equation of the circle in general form is:

x² + y² - 3x = 0

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Answer:

6666

Step-by-step explanation:

The statement sin²Ф + cos²Ф = 8 is impossible.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

sin²Ф + cos²Ф = 8 ____(1)

The standard formula is sin²Ф + cos²Ф = 1 _____(2)

Now,

Comparing (1) and (2).

sin²Ф + cos²Ф = 8 is never possible unless 8 is on both sides.

i.e

8 (sin²Ф + cos²Ф) = 8

Thus,

The statement is impossible.

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Answer:

3.2

Step-by-step explanation:

Answer:

Hope the pictures will help you........

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

\( \frac{2x - 20}{ {x}^{2} + 6x - 40 } \)

This is the right answer.

Refer to the attachment for the complete work.

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

1. Alternate interior angle.

2. Alternate Exterior Angle.

3. Vertical Angles.

4. 13x + 2= 15x - 2

5. x= 2

Since AB || CD

and, <BGF = 13x + 2, <EHC = 15x - 2

1. <BGF and <EHC are Alternate interior angle.

2. <FHD and <EGA are Alternate Exterior Angle.

3. <FHC and <EHD are Vertical Angles.

4. <BGF = <EHC

13x + 2= 15x - 2

5. Solving for x we get

-2x = -4

x= 2

6. <BGF = 26 +2 = 28

<EHC = 28

<FHD = 28

<EGB = 180 - 28 = 152

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Answer: well my two favorite christmas movies just got confusing and kinda ruined at the same time. LOL. BUT it makes sense also if u think abt it he also he has a dog named max, but jack has one named zero so did he just change his name or find a different dog

Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Answer:

3/8 or 3:8

Step-by-step explanation:

pink : not pink

6 : 16

Think of it as a fraction. Simplify it in the same way.

6/16 simplifies to 3/8

So the pink:notpink ratio is 3/8 or 3:8

Answer:

The explicit arithmetic formula can be used to find the 39th term of this sequence.

\(a_{n} = a_{1} + d(n-1)\)

In order to use this formula, we must know a_1, the first term, and , the common difference.

In this case, the first term is given as -15.

The difference can be found by looking at the difference between each following term. In this case, d = +5.

(Notice to get from -15 to -10, we add 5, to get from -10 to -5, we add 5, etc.)

Now that we have everything we need, we can plug everything in to find the 39th term:

\(a_{39} = -15 + 5(39-1)\\a_{39} = -15 + 190\\a_{39} = 175\)

The 39th term of this sequence is 175.

*Note n represents the term number we are trying to find. That's why we substituted 39 for n when plugging everything into the formula. \(a_{39}\) denotes the 39th term

Answer:

\((-4,-\frac{1}{2})\\\)

Step-by-step explanation:

The midpoint between two points can be calculated by \((\frac{x_1 +x_2}{2}, \frac{y_1 +y_2}{2})\\\) where \(x_n\) and \(y_n\) is the \(xy\)-coordinates of point \(n\).

In your case we have two endpoints: \(A(-5,-4)\) and \(B(-3,3)\). So the midpoint can be calculated as:

\((\frac{x_A +x_B}{2}, \frac{y_A +y_B}{2}) \\ (\frac{-5 +(-3)}{2}, \frac{-4 +3}{2}) \\ (\frac{-5 -3}{2},\frac{-4 +3}{2}) \\ (\frac{-8}{2},\frac{-1}{2}) \\ (-4,-\frac{1}{2})\)

The midpoint of \(\overline{AB}\) is \((-4,-\frac{1}{2})\\\)

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

Answer:

No

Step-by-step explanation:

The longest side of a triangle must be less than the sum of the shorter two sides.

3 + 8 = 11.  13 is not less than 11.  So it is not possible for a triangle to have these sides.

Answer:

It should be 42.4

Answer:

I think the answer is

t=r/r-3

r=t(r-3)

r=tr-t3