What is the slope of (1,9) and (-1,6)

The equation line which is parallel to y = - (1/8)x - 8 and passes through (8, 5) will be y = -(1/8)x + 6.

Given that:

Equation, y = - (1/8)x - 8

The slope of the parallel lines is equal. Then the equation of the parallel line is given as,

y = -(1/8)x + c

The equation passes through (8, 5), then we have

5 = -(1/8) * 8 + c

5 = - 1 + c

c = 6

The equation of the parallel line will be y = -(1/8)x + 6.

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Answer:

To complete the square for the equation -5x² + 10x = -315, we can follow these steps:

Move the constant term (-315) to the right side of the equation:

-5x² + 10x + 315 = 0

Divide both sides of the equation by the coefficient of the x^2 term (-5) to get a coefficient of -1 for the x^2 term:

x² - 2x - 63 = 0

Add the square of half the coefficient of the x term to both sides of the equation:

x² - 2x + 1 - 1 - 63 = 0 + 1

Simplify the left side of the equation by factoring the quadratic trinomial and combining like terms:

(x - 1)² - 64 = 1

Add 64 to both sides of the equation:

(x - 1)² = 65

So the intermediate step in completing the square for -5x² + 10x = -315 is:

(x - 1)² - 64 = 1

This is the result of adding the square of half the coefficient of the x term (-1) to both sides of the equation and simplifying.

The total amount of money she would have at the end of her shift would be 0.75x + 10

If the barista makes an average of $0.75 from each customer and she has $10 in her tip jar at noon, we can use this information to estimate how much money she will have at the end of her shift if she serves more customers.

Let's assume that the barista serves "x" more customers during her shift, and that each customer gives her an average of $0.75 in tips. The total amount of money she would make from the tips of these "x" customers would be 0.75x.

Adding the $10 she already has in her tip jar, the total amount of money she would have at the end of her shift would be:

Total = 0.75x + 10

The amount of money the barista would have at the end of her shift would depend on the number of customers she serves after noon. For instance, if she serves 20 more customers after noon, then the total amount of money she would have at the end of her shift would be:

Total = 0.75(20) + 10 = $25

Therefore, the amount of money the barista would have in her tip jar at the end of her shift depends on the number of customers she serves and the amount of money each customer gives her in tips.

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The number of DVDs can be purchased for x dollars = 5x/4d.

The correct answer is an option (e)

Here you have x dollars to spend.

The regular price for a DVD is d dollars.

We need to find the number of DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price.

To find number of DVDs can be purchased  for x dollars, we must divide x by the sale price of a CD.

After 20% off, the sale price would be,

(100 - 20)% of d

= 80% of d

Using percentage formula, we can write 80 percent of d as,

80%d

= (80/100) × d

= (4/5)d .

So, we need to divide x by (4/5d) which is equal to 5x/4d.

Therefore, the correct answer is an option (e)

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The complete question is:

At Bruno’s Video World, the regular price for a DVD is d dollars. How many DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price?

   a)    4/5x

   b)    5/4x

   c)    4/5d

   d)    4x/5d

   e)    5x/4d

Answer:

Step-by-step explanation:

On Monday, the total amount paid for CDs = 149 * $9 = $1341

On Tuesday, the total amount paid for CDs = 263 * $9 = $2367

Therefore, the total amount paid for CDs on these two days = $1341 + $2367 = $3708.

The system of equations are solved and x = 1 and y = -2

Given data ,

Let the system of equations be A and B

where 5x + 4y = -3

y = 2x - 4

Substituting the value of y in equation (1) , we get

5x + 4 ( 2x - 4 ) = -3

On simplifying the equation , we get

5x + 8x - 16 = -3

Adding 16 on both sides , we get

13x = 13

Divide by 13 on both sides , we get

x = 1

Now , when x = 1

y = -2

Hence , the equations are solved

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The confidence interval for the difference in average lifespan between the two groups of children (-43, 9) years includes 0, which means that we cannot conclude with confidence that there is a significant difference between the two groups.

Since the confidence interval includes negative values, we cannot even conclude that the garlic pills were beneficial in prolonging the life of the children. It is possible that the garlic pills had no effect or even a harmful effect on the lifespan of the children.

Therefore, based on this information, we cannot conclude that garlic pills are effective in prolonging the life of children with deliops disease. Further research would be needed to determine whether garlic pills have any beneficial effects on the lifespan of these children.

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The table that shows a relation that represents a function is: table D in the options given.

To determine if a relation is a function, we need to check if each value of x corresponds to a unique value of y.

A. In this relation, x = 3 is paired with two different values of y (-2 and -1) which means this relation is not a function.

B. In this relation, each value of x does not corresponds to only one value of y, so this relation is not a function.

C. In this relation, -3 and 1 are paired with two different values of y (-3 and 1), which means this relation is not a function.

D. In this relation, each value of x corresponds to only one value of y, so this relation is a function.

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Using trigonometric functions, we can find the value of the missing sides as follows:

AC = 15.48units.

AB = 9units.

The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, which return a range of numbers as their output. The angle, expressed in degrees or radians, is the domain of the trigonometric function of f(x) = sin, also referred to as the "trig function," and its range is [-1, 1]. In terms of their domain and scope, the other functions are comparable. Algebra, geometry, and calculus all make extensive use of trigonometric functions.

Here in the question,

As per the trigonometric function:

Sin30° = opposite side/hypotenuse

⇒ 1/2 = AB/18

Cross multiplying:

⇒ AB = 18/2

⇒ AB = 9units.

Now,

Cos30° = adjacent side/hypotenuse

⇒ 0.86 = AC/18

Cross multiplying:

⇒ AC = 15.48units.

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The equation of the function is f(x) = x² + 3, where x represents the input value and f(x) represents the output value. Graph is in below figure.

The domain of a function is the set of all possible input values (also called the independent variable) for which the function is defined. In other words, it is the set of values that can be plugged into the function to produce a valid output value (also called the dependent variable).

The equation of the function is f(x) = x² + 3, where x represents the input value and f(x) represents the output value.

To graph this function, we can plot points by choosing values of x and computing the corresponding values of f(x). Since the domain of the function is [0, ∞), we will only consider non-negative values of x.

x f(x)

0 3

1 4

2 7

3 12

4 19

We can plot these points on a coordinate plane and connect them with a smooth curve to obtain the graph of the function:

Note that the graph is a parabola that opens upwards and passes through the point (0, 3).

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Answer:

Step-by-step explanation: There are 2.54 centimeters in a inch, for every inch you need to multiply it by 2.54.  

2.54 x 12 = 30.48

Answer = 30.48

A 12inch ruler is 30cm.

If you look at a ordinary see through plastic ruler one side says 12 inches and the other, 30 centimetres by one millimeter.

To find sin(Q), we first calculated the length of the hypotenuse using the Pythagorean theorem. Then we used the sine function to find sin(Q) which is approximately 0.78 rounded to the nearest hundredth.

We can use the Pythagorean theorem to find the length of the third side, which is the hypotenuse

h = √(P² + Q²)

h = √(7² + √95²)

h = √(49 + 95)

h = √144

h = 12

Now, we can use the sine function to find sin(Q)

sin(Q) = opposite/hypotenuse = √95/12

Using a calculator, we get

sin(Q) ≈ 0.78

Rounding to the nearest hundredth, we get

sin(Q) ≈ 0.78

Therefore, the value of sin(Q) rounded to the nearest hundredth is 0.78.

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--The given question is incomplete, the complete question is given

" Find the value of sin Q rounded to the nearest hundredth, if necessary.

Q= √95

P= 7 "--

Answer:

the y is always gonna be a difrent like a negative and a postive

Step-by-step explanation:

the y on the left if it's a positive the y on the right Is nightie ect

Answer:

b < [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

5b - 3 > 9b + 4

-4b - 3 > 4

-4b > 7

b < [tex]\frac{7}{4}[/tex]

So, the answer is b < [tex]\frac{7}{4}[/tex]

Answer:

[tex]x = \sqrt{ {16}^{2} + {21}^{2} } = \sqrt{256 + 441} = \sqrt{697} = 26.4[/tex]

The surface area of the rectangle prism is 96cm²

A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as;

SA = 2B +pH

where B is the base area and p is the perimeter of the base and h is the height of the prism.

Base area = 4× 2 = 8cm²

perimeter of the base = 2(4+2) = 2× 8 = 16cm²

height = 5cm

therefore the surface area of the prism

= 2×8 + 5×16

= 16+80

= 96cm²

therefore the surface area of the prism is 96cm²

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The proposed study is a randomized controlled trial (RCT). RCTs are considered the gold standard for evaluating the effectiveness of interventions.

In this study, the researcher will randomly assign subjects to either an exercise or non-exercise group, which helps to ensure that any observed differences in mental health outcomes can be attributed to the exercise intervention and not other factors. Stratified random sampling is also being used to ensure that the study includes representative proportions of different age groups. By conducting a mental health exam at the beginning and end of the study, the researcher can compare changes in mental health outcomes between the two groups. Overall, this RCT has a strong design that will enable the researcher to draw meaningful conclusions about the effects of exercise on mental health.

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To find an expression for P(t), we can use the two given data points to create a system of equations. We can assume that the population is growing exponentially, which means that the population at time t is given by:

P(t) = a(b)^t

where a and b are constants that we need to determine.

Using the first data point, we have:

840,000 = a(b)^1

which simplifies to:

840,000 = ab

Using the second data point, we have:

882,000 = a(b)^2

We can solve for a in terms of b by dividing the second equation by the first equation:

882,000/840,000 = (a(b)^2)/(ab)

Simplifying, we get:

1.05 = b

Substituting this value of b into the first equation, we get:

840,000 = a(1.05)

Solving for a, we get:

a = 800,000

Therefore, the expression for P(t) is:

P(t) = 800,000(1.05)^t

This means that the city's population t years from now can be calculated by multiplying the initial population of 800,000 by 1.05 raised to the power of t.

Answer:

Step-by-step explanation:

city. The city's population has beengrowing, and based on recent trends,Jim expects it to continue growingexponentially. This table shows theexpected population in the next twoyears.Time (years)Population840,000882,000Time (years)12Find an expression for P(t), the city'spopulation t years from now. Write youranswer in the form P(t) = a(b)t, where aand b are integers or decimals. Do notround.P(t) =

23. The value for x in triangle is 11.14

24. The value for x in the triangle is 18.3

25. The value for x = 30.4

27 The value for x = 63.413 degrees

23

Cos θ= adj/ hyp

cos 42= x/15

x = 15 cos 42

x = 11.14

24

tan θ= opp/ adj

tan 31= 11/ x

x(tan 31)= 11

x = 11/tan 31

x = 18.3

25

cos θ= adj/ hyp

cos 18= 29/x

x(cos 18) = 29

x = 29/ cos 18

x = 30.4

27

sin x = opp/ hyp

sin x = 17/19

sin x = 0.8947

x = 63.413 degrees

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The length of segment TU is given as follows:

TU = 24 units.

The length of segment TU is obtained applying the trapezoid midsegment theorem, which states that the length of the midsegment of the trapezoid is equals to the mean of the length of the bases of the trapezoid.

The parameters for this problem are given as follows:

Hence the length of TU is obtained as follows:

36 = (x + 48)/2

x + 48 = 72

x = 24.

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The statement "with respect to the 3-sigma rule used in reliability analysis, studies have shown that even experts tend to under-predict the range in parameter values (max-min). however, this is conservative because it leads to a smaller estimate of reliability" is true because studies have shown that experts tend to under-predict the range in parameter values when using the 3-sigma rule, leading to a conservative estimate of reliability.

The 3-sigma rule is a widely used method in reliability analysis that assumes the range of parameter values is within three standard deviations of the mean value. However, studies have shown that experts tend to under-predict the range of parameter values.

This under-prediction can result in a conservative estimate of reliability because it leads to a smaller range of possible outcomes. In other words, the estimated reliability is likely to be lower than the actual reliability. Therefore, it is important to take into account the potential for under-prediction when using the 3-sigma rule and to use other methods to estimate reliability as well.

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Answer:  The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials.

In this case, the number of cinnamon jelly beans in the scoop is 6. The total number of jelly beans in the scoop is 5+22+6=33.

Therefore, the experimental probability of scooping a cinnamon jelly bean from the bin is:

P(cinnamon) = number of cinnamon jelly beans / total number of jelly beans

P(cinnamon) = 6 / 33

P(cinnamon) = 2 / 11

So the experimental probability of scooping a cinnamon jelly bean from the bin is 2/11, which can be written as a fraction.

Step-by-step explanation:

Answer:

Side AC Is Parrellel to BD

Side BA is Parallel to DC

Step-by-step explanation:

Parallel is the opposing side.

Answer: B A

Step-by-step explanation:

In the long run, new technology can have a significant impact on the long-run average total cost (LRATC) of a company.

The LRATC curve represents the lowest possible average cost at which a company can produce a particular level of output in the long run. New technology can reduce the costs of production by improving efficiency, reducing waste, and increasing productivity, leading to lower LRATC. This can lead to a shift in the LRATC curve downward, indicating that the company can now produce the same output at a lower cost than before. This can make the company more competitive and increase its profitability.

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1)  The lines AC and BO are parallel (by alternate interior angles), so BMED is a trapezoid.

2)  CD = 2AD.

1) To prove that BMED is a trapezoid, we need to show that BM || ED.

Since O is the midpoint of AM, we have OB || MD (as OB and MD are both perpendicular to AM).

Also, since E is the midpoint of DC, we have DE || AC (as DE and AC are both perpendicular to BC).

Therefore, to show that BM || ED, it is enough to show that AC || OB.

We know that OB is a transversal to the parallel lines BM and AM, so we have:

∠OBD = ∠MBC (corresponding angles)

Similarly, we have:

∠OAD = ∠ABC (corresponding angles)

Since ∠MBC = ∠ABC (because [AM] is the median), we have:

∠OBD = ∠OAD

Therefore, the lines AC and BO are parallel (by alternate interior angles), so BMED is a trapezoid.

2) To prove that D is the midpoint of [AE], we need to show that AD = DE.

Since [AM] is the median, we have:

AD = MC

Also, since E is the midpoint of DC, we have:

DE = EC

So it is enough to show that MC = EC.

Since O is the midpoint of AM, we have:

OM = MA/2

But MA = MC + AC/2 (because [AM] is the median), so we have:

OM = (MC + AC/2)/2

= MC/2 + AC/4

Also, since E is the midpoint of DC, we have:

OE = EC/2

But AC = 2DC (because [AM] is the median), so we have:

OE = EC/2 = AC/4

Therefore, we have:

OM = OE

So triangle OME is isosceles, and we have:

∠OEM = ∠OME

But ∠OED = ∠OEM (because DE || AC), so we have:

∠OED = ∠OME

Therefore, triangles ODE and OME are similar, so we have:

OD/OM = OE/OE

= 1

Therefore, OD = OM.

But we also have:

OM = MA/2 = MC/2 + AC/4

= AD/2 + AC/4 (because [AM] is the median)

So we have:

OD = OM = AD/2 + AC/4

= AD/2 + DC/2 (because AC = 2DC)

= (AD + DC)/2

= AE/2 (because E is the midpoint of DC)

Therefore, we have shown that D is the midpoint of [AE].

Moreover, we have:

CD = AE/2 = AD + DC/2 = AD + AC/4 (because AC = 2DC)

= AD + MC/2 (because [AM] is the median)

= AD + AD/2 (because AD = MC)

= 3AD/2

So we have CD = 2AD.

3) To prove that OD = 4BD, we need to show that BD = (1/4)OM.

Since [AM] is the median, we have:

BM = MC

Also, since O is the midpoint of AM, we have:

OM = BM/2 + AM/2

= BM/2 + 2BM/2 (because [AM] is the median)

= 3BM/2

Therefore, we have:

BD = BM - MD

= MC - MD

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The calculated height of the trapezoid is 5 ft.

The formula for the area of a trapezoid is:

A = (b1 + b2)h/2

where A is the area, b1 and b2 are the lengths of the parallel sides, and h is the height.

We are given that the area of the trapezoid is 25.5 ft^2, and the lengths of the parallel sides are 3.2 ft and 7 ft.

Substituting the given values into the formula, we get:

25.5 = (3.2 + 7)h/2

Simplifying the expression on the right side, we get:

25.5 = 5.1h

Dividing both sides by 5.1, we get:

h = 25.5/5.1

h = 5

Therefore, the height of the trapezoid is 5 ft.

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Answer:

His confidence is transformed by the crowd’s response.

Step-by-step explanation:

Scotty is described as being a "quavering husk...just moments before." This shows his lack of confidence and anxiety about being on stage.