What is the slope of this line? Responses 1/3 1 third 2/3 2 over 3 −2/3 negative 2 over 3 −1/3

The statement would no longer be true if you did not flip the signs.

Example: 1 < x < 2 multiplied by (-1) equals -2 < x < -1, because you can't have a number that is greater than -1, and less than -2 at the same time.

Answer:

5 m/s

Step-by-step explanation:

Divide the distance by Karl's time to find the rate at which Karl was running:

150/30 = 5 meters per second

The probability that no letters are repeated is 0.0015, rounded to the nearest thousandth.

The probability that no letters are repeated is calculated using the formula P = n! / (r^n * (n-r)!)

, where n is the total number of letters and r is the number of each letter.

The numbers here are n = 7 and r = 1.

This means the probability of no letters being repeated is 7! / (1^7 * 6!) = 0.0015.

This can be rounded to the nearest thousandth, giving the answer of 0.0015.

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Answer:

ok i can do it if u want then see my m.s.g

The required solutions to the given triangle ABC below as:

(i) sin (B+C/2) = cos (A/2)

(ii) if angle A= 90°, then the value of tan (B+C/2) is is undefined.

Interior angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles.

Given that A, B, and C are interior angles of a triangle ABC.

To solve the question, we would consider trigonometric ratios of complementary angles.

sin (90° - θ) = cosθ

We know that for ΔABC,

∠A + ∠B + ∠C = 180° (Angle sum property of triangle)

∠B + ∠C = 180° - ∠A

On dividing both sides by 2, we get,

(∠B + ∠C)/2 = (180° - ∠A)/2

(∠B + ∠C)/2 = 90° - ∠A/2

Applying sine angles on both sides:

sin {(∠B + ∠C)/2} = sin (90° - ∠A/2)

Since, sin (90° - θ) = cos θ, we get

sin (∠B + ∠C)/2 = cos A/2

(ii)  if angle A= 90°, then find the value of tan (B+C/2)

If cos A/2 = 0 so ∠A = 90°

sin (∠B + ∠C)/2 = cos A/2 = 0

tan (B+C/2) = ∞

Thus, the value of tan (B+C/2) is undefined.

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y=2x+7. In order to create an equation that is parallel to the old equation, Julie must make sure that her new equation has the same slope as the old equation. The slope of the old equation is 2, so Julie's new equation should also have a slope of 2. Additionally, she must make sure that the y-intercept of her new equation is the same as the given data point, which is (6, 7). Therefore, the new equation should be in the form y = 2x + b, where b is the y-intercept. Plugging in the values from the given data point, we get y = 2x + 7. This equation is parallel to the old equation and passes through the given data point, so it is the correct answer.

Answer:

The answer to the question is that the new equation that is parallel to the old equation and passes through the point (6, 7) is y = 2x - 5.

Step-by-step explanation:

To create an equation that is parallel to the old equation, you need to use the same slope. This means that your new equation should be y = 2x + b, where b is a constant. Since the point (6, 7) is on the new equation,  you can plug those values into the equation to find b.

Answer:

not a function.  There cannot be mutiple y-values under one x value.  

Step-by-step explanation:

If it is a line that does go through 0,0 then it is NOT PROPORTIONAL

Answer:

B

Step-by-step explanation:

the shape will reflect b

Answer: In 6 minutes, Venus will travel 1320 * 6 = 7920 miles.

Step-by-step explanation: To convert the speed from miles per second to miles per minute, we multiply the speed by the number of seconds per minute. There are 60 seconds per minute, so Venus travels 22 * 60 = 1320 miles per minute.

In 6 minutes, Venus will travel 1320 * 6 = 7920 miles.

Answer:

The rate of change in this situation is 6 degrees per hour.

Step-by-step explanation:

The rate of change in this situation is -6 degrees per hour. To find this, we need to divide the change in temperature by the amount of time over which the change occurs. In this case, the temperature falls from 43 degrees to 43-6=<<43-6=37>>37 degrees, so the change in temperature is 43-37=<<43-37=6>>6 degrees. Since the temperature falls over the course of one night, the rate of change is 6 degrees / 1 night = -6 degrees per hour.

the perimeter of the pentagon greater than 26 centimeters is given by

23.51

Given that a pentagon with 5  sides of equal length and 5 interior angles of equal measure is inscribed in a circle

The circle has area of 16 pi sq cm.

Hence radius of circle = 4 cm

The pengagon each side would be a chord of equal length subtending angle 72 at the centre.

visualize the triangle made by one side of pentagon with centre.  This is isosceles with angles 72, 54 and 54

Use sine angle for this triangle.

, where R = radius =4 and s = side of pentagon.

s= 4.702

Perimeter = 5s = 23.5114 cm

Perimeter not greater than 26 cm.

If origin is at the centre then two vertices would be (4,0) (4cos 72, 4sin72),(4cos 144, 4 sin 144) and so on.

Longest diagonal = distance between (4,0) and (4cos 144, 4 sin 144)

= (-3.236, 2.351) and (4,0)

=7.608

Yes greater than 8 cm

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Answer: 3 boxes

Step-by-step explanation:

she has 3 stuffed animals left and its not manditory to fill a box so you would put the threee remaining into one box

The coordinates of ABC are A = (-2, -1) B = (-2, -10) C" = (-14, -1)

The coordinates of the triangle A"B"C" are given as

A" = (0.5, -1) B" = (5, -1) C" = (0.5, -7)

The transformation is given as

When these transformations are combined, we have

(x, y) ⇒ (-y/2, x/2)

So, we have

A" = (0.5, -1) B" = (5, -1) C" = (0.5, -7)

This gives

A = (-2, -1) B = (-2, -10) C" = (-14, -1)

Hence, the coordinates are A = (-2, -1) B = (-2, -10) C" = (-14, -1)

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The actual area of the park is 376068 meters squared. If A scale drawing of a rectangular park had a scale of 1 cm = 110 m.

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the product of its length and breadth.

Given

A scale drawing of a rectangular park had a scale of 1 cm = 110 m.

Length of rectangle,

7.4  × 110

814m

Breadth of rectangle,

4.2 × 110

462 m

Area of rectangle

length × breadth

814 ×462

376068

The actual area of the park is 376068 meters squared. If A scale drawing of a rectangular park had a scale of 1 cm = 110 m.

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Answer:

all real numbers

Step-by-step explanation:

the graph continues to the left and to the right because there are arrows

The sample proportion will have the smallest p-value is for Z=3 that can be calculated by taking comparisons between Z=1,2 and 3.

Null hypothesis H0= P=0.45

Alternative hypothesis H1= P>0.45

The null hypothesis assumes that any form of distinction among the selected traits which you see in a fixed of records is because of chance. For example, if the predicted income for the playing recreation are truely same to 0, then any distinction among the common income withinside the records and 0 is because of chance.

H=1000, x1=500, x2=600 and x3=700

P1= x1/h=500/1000=0.5

P2=x2/h=600/1000=0.6

P3=x3/h=700/1000=0.7

Z1=P1-P/(P(1-P)/h)61/2 = 0.5-0.45/(0.45*0.55/1000)^1/2 = 0.32

P-value for Z1=P(Z1>0.32)=0.37748

Z2=P2-P/(P(1-P)/h)61/2 = 0.6-0.45/(0.45*0.55/1000)^1/2 = 0.95

P-value for Z2=P(Z2>0.95)=0.17106

Z3=P3-P/(P(1-P)/h)61/2 = 0.7-0.45/(0.45*0.55/1000)^1/2 = 1.59

P-value for Z3=P(Z3>0.95)=0.055917

Thus, the smallest P-value will be for Z3.

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The value of the given expression cos(π/2 - sin⁻¹(1/2)) will be equal to 1/2.

The fundamental six functions of trigonometry have a range of numbers as their result and a boundary input value that is the angle of the right triangle.

As per the given information in the question,

cos(π/2 - sin⁻¹(1/2))

Use the formula given below,

cos(π/2 - θ) = sin θ

From the above formula,

sin(sin⁻¹ (1/2))

= 1/2

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In general, a change in the price of the product causes a movement along the demand curve; and a change in production cost and related factors causes a shift in the supply curve.

The demand curve is a graphical representation of the relationship between the price of a good or service and the quantity demanded for a given period of time. In a typical representation, the price will appear on the left vertical axis of the graph, and the quantity demanded on the horizontal axis.

The supply curve is a graphic representation of the relationship between product price and quantity of product which a seller is willing and able to supply. Product price is measured on the vertical axis of the graph, and the quantity of product supplied on the horizontal axis.

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Answer: 55%

the percent of the female participants is: [tex]\frac{121}{121+99}.100=\frac{121}{220}.100=55[/tex] (%)

Step-by-step explanation:

The value of line integral of the line segment from (5,4) to, (0,0) is 90.

Given that C is the line segment from (5,4) to (0,0):-

So, our first task is to calculate the line segment

After calculating the line segment, we will be able to calculate the line integral

We know that the equation of line is -

y - y1 = (y1 - y2)/ (x1 - x2) * (x - x1)

So now,

y - 0 = (4 - 0)/ (5 - 0) * (x - 0)

y = 4/5 x

5x - 4y = 0 -----------> (1)

A line integral is used to calculate the area covered by that line

c1 = ∫₀⁴ 5x dx ------> (2)

c2 = ∫₀⁵ -4y dy -----> (3)

c1 = [ 5 x²/2 ]₀⁴ = 5 * ( 4² - 0)/2 = 40

c2= [ -4 y²/2 ]₀⁵ = -4 * ( 5² - 0)/2 = 50

The value of the line integral: c1 + c2 = 40 + 50 = 90

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We need to start by choosing some 10 integers so that we can ensure that when they are divided by 11, at least two of the integers will give the same remainder.

The following is the explanation:

If you divide a number by 11, the answer will be a fraction. There are 11 remainders which might occur, which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

If for example we choose one number and divide it by 11, there is a chance that the remainder may be any of the 11 (0 reminders 1). Therefore, if we choose 10 numbers, we will have the opportunity to pick 10 unique remainders, ranging from 0 to 10.

In conclusion, if we select one more integer, that is we pick 10 integers, then at least two of them would have the same remainder since there are only 10 remainders.

Because of this, we need to choose 10 numbers such that we can guarantee that at least two of them will provide the same remainder when they are divided by 11.

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The probability that both coins will land on heads is 50%. In other words, each coin toss is an independent event and each coin has an equal chance of landing on either heads or tails.

This is because the result of the first coin toss does not influence the outcome of the second coin toss, meaning each toss is an independent event with a 50% chance of landing on heads.The probability that both coins will land on heads is 50%. This is because the result of the first coin toss does not influence the outcome of the second coin toss. In other words, each coin toss is an independent event and each coin has an equal chance of landing on either heads or tails. This means that the probability of both coins landing on heads is the same as the probability of either coin landing on heads, which is 50%. Therefore, the probability that both coins will land on heads is 50%.

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Answer:

[tex]x=\dfrac{1}{2} \pi + 2\pi n[/tex]

[tex]x=\dfrac{3}{2}\pi +2 \pi n[/tex]

[tex]x=\dfrac{1}{6}\pi+2 \pi n[/tex]

[tex]x=\dfrac{5}{6}\pi+2 \pi n[/tex]

Step-by-step explanation:

Given trigonometric equation:

[tex]\sin x \cos x &= \dfrac{1}{2} \cos x[/tex]

Rearrange the equation so that it equals zero:

[tex]\begin{aligned}\sin x \cos x &= \dfrac{1}{2} \cos x\\2 \sin x \cos x &= \cos x\\2 \sin x \cos x - \cos x &=0\\ \cos x (2 \sin x - 1)&=0\end{aligned}[/tex]

Apply the zero-product property.

Case 1

[tex]\begin{aligned}\cos x &=0\\x&=\cos^{-1}(0)\\x&=\dfrac{1}{2} \pi +2\pi n, \; \dfrac{3}{2}\pi +2 \pi n\end{aligned}[/tex]

Case 2

[tex]\begin{aligned}2\sin x - 1& = 0\\2 \sin x & = 1\\\sin x & = \dfrac{1}{2}\\x&=\sin^{-1}\left(\dfrac{1}{2}\right)\\x & = \dfrac{1}{6} \pi+2 \pi n, \; \dfrac{5}{6} \pi +2 \pi n\end{aligned}[/tex]

The system of linear equations, y = 2x + 4 ;

2y = x + 6 has a unique solution and it is a consistent system of linear equations.

An ordered pair that satisfies all equations of the system is the solution of the system. A system of linear equations can have one solution, no solution, or an infinite number of solutions. The systems of equations can be classified according to the number of solutions. If a system has at least one i.e unique solution, it is called consistent. We have, the system of equations is

y = 2x + 4 => 2x - y + 4 = 0 --(1)

2y = x + 2 => x - 2y + 6 = 0 --(2)

Comparing the equation (1) with a₁x + b₁y + c₁=0

and equation(2) with a₂x + b₂y + c₂=0

We get, a₁ = 2 , a₂= 1 , b₁ = -1 , c₁= 4 , b₂= -2 , c₂ = 2

Now, compute the ratio of coefficients of variables .

a₁/a₂ = 2/1 , b₁/b₂ = -1/-2 = 1/2 , c₁/c₂= 4/6 = 2/3

=> a1/a2 ≠ b1/b2 ,

here, both lines are intersect at a point and a unique solution exist for pair of linear equations. In such a case , the pair of linear equations is said to be consistent. Thus, system is consistent.

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Complete question:

Is the system of equation is consistent and

independent consistent and dependent or inconsistent?

y = 2x + 4 , 2y = x + 6

Please find attached the drawing of the image of the segment following a dilation by a scale factor of 2 with the center at the origin, created with MS Word.

A dilation transformation is one in which the size of the object is increased (or decreases) proportionately by a factor known as the scale factor of dilation.

The center of dilation is the origin, which is the point (0, 0)

The coordinates of points on the line segment are; (5, 5) and (0, 0)

Therefore, the line segment to be dilated passes through the center of dilation

The image of the segment to be dilated also will pass through the center of dilation, which is the origin or the point (0, 0)

The dilation of the segment by a scale factor of 2 has a point at the origin (0, 0), the second point is therefor at the point (2× 5,  2 × 5) = (10, 10)

The coordinates of the image of the segment following a dilation are therefore; (0, 0), and (10, 10)

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Answer: 73.3%

Step-by-step explanation:

take 44 and divide it by 60

44/60 = 0.0733 repeating

move the decimal place to the right twice

0.0733 --> 73.3%

Answer: D

Step-by-step explanation:

Answer:D

Step-by-step explanation: A triangle has no diagonals

Box 1 has a volume of 2,166 cubic centimeters and Box 2 has a volume of 1,260 cubic centimeters.The total volume of space available to Takeo is 3,426 cubic centimeters.

To find the total volume of space available to Takeo, first we take the volume of Box 1, which is 2,166 cubic centimeters. Then we take the volume of Box 2, which is 1,260 cubic centimeters. Finally, we add these two volumes together to get the total volume of 3,426 cubic centimeters.Takeo is in the process of packing before his move. He has two boxes to pack and each box has a different volume. Box 1 has a volume of 2,166 cubic centimeters and Box 2 has a volume of 1,260 cubic centimeters. By adding these two volumes together, Takeo has a total volume of 3,426 cubic centimeters of space available to pack before his move.

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It is better to receive a 9% raise followed by a 3% raise, rather than a 3% raise followed by a 9% raise.

What is the percentage increase?

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original.

It is generally better to receive a 9% raise followed by a 3% raise, rather than a 3% raise followed by a 9% raise.

This is because the percentage raise you receive is applied to your current salary. If you receive a 3% raise first, your salary will be higher when you receive the 9% raise, so the 9% raise will be applied to a higher base salary. This means that you will receive a larger increase in salary overall if you receive the 9% raise first.

For example, let's say you are currently making $50,000 per year. If you receive a 3% raise followed by a 9% raise, your salary would increase to $51,500 after the first raise and then to $56,365 after the second raise, for a total increase of $6,365.

On the other hand, if you receive a 9% raise followed by a 3% raise, your salary would increase to $54,500 after the first raise and then to $56,365 after the second raise, for a total increase of $5,865.

In this example, you would receive a larger increase in salary overall if you received the 9% raise first. This is because the 9% raise is applied to a lower base salary, resulting in a larger increase in salary overall.

Of course, the actual amount of the raise will depend on your current salary and the percentage of the raise. In general, though, it is usually better to receive a larger percentage raise first, followed by a smaller percentage raise.

Hence, It is better to receive a 9% raise followed by a 3% raise, rather than a 3% raise followed by a 9% raise.

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