50 Points!!
Line c has an equation of y = -x - 3. Line d, which is parallel to line c, includes the point (-1, 1). What is the equation of line d? 5 Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
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Answer:

The expected length of the longest run in a sequence of two coin flips is 3/2 or 1.5.

Step-by-step explanation:

There are four possible outcomes for flipping a fair coin two times: HH, HT, TH, and TT, where H represents heads and T represents tails. For each of these outcomes, we can find the length of the longest run. The longest run will be 1 for all outcomes except HT and TH, which have a longest run of 2.

The probability of getting each of these outcomes is 1/4. Therefore, the expected length of the longest run is the sum of the products of the length of each run and its probability:

(1/4) * 1 + (1/4) * 1 + (1/4) * 2 + (1/4) * 2 = 3/2 or 1.5

So the expected length of the longest run in a sequence of two coin flips is 1.5.

The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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Answer:

A) 3n= 3x1= 3

3n= 3x2= 6

3n= 3x3= 9

3n= 3x4= 12

3n= 3x5= 15

3n= 3x6= 18

3n= 3x7= 21

3n= 3x8= 24

3n= 3x9= 27

3n= 3x10= 30

B)7n= 7x1= 7

7n= 7x2= 14

7n= 7x3= 21

7n= 7x4= 28

7n= 7x5= 35

7n= 7x6= 42

7n= 7x7= 49

7n= 7x8= 56

7n= 7x9= 63

7n= 7x10= 70

C) 6n= 6x1= 6

6n= 6x2= 12

6n= 6x3= 18

6n= 6x4= 24

6n= 6x5= 30

6n= 6x6= 36

6n= 6x7= 42

6n= 6x8= 48

6n= 6x9= 54

6n= 6x10= 60

Answer:

I think it is dividing the numbers by 2

Answer: 56

Step-by-step explanation:

6,000-5,944=

because 6,000 is how much she paid, but she only owed 5,944 so the the difference is what her refund is.

Answer:

D

Step-by-step explanation:

First, find the slope of BC :

⇒ m (BC) = -1 - 5 / -3 - 5

⇒ m (BC) = -6/-8

⇒ m (BC) = 3/4

Now, since AD is the altitude of BC, we can say the altitude is perpendicular to BC.

Hence, the slope of a perpendicular line is equal to the negative reciprocal of the original line.

⇒ m (AD) = - (1/m(BC))

⇒ m (AD) = - (1/(3/4))

⇒ m (AD) = -4/3

Answer:

the correct answer is truly

Step-by-step explanation:

STOP CHEATING ON THID APP

Answer:

The angle is \(\theta =27.84^o\)

Step-by-step explanation:

From the question we are told that

   The height of the tree is  \(h = 47 \ ft\)

    The length of the shadow is  \(L = 89 \ ft\)

Generally applying SOHCAHTOA , the angle of elevation is evaluated as

     \(tan \theta = \frac{h}{L }\)

=>  \(tan \theta = \frac{47}{89}\)

=>  \(tan \theta = 0.52809\)

=>   \(\theta = tan^{-1} [0.52809 ]\)

=>   \(\theta =27.84^o\)

Answer:

1

Step-by-step explanation:

\(h {}^{ - 1} ( - 1)\)

means that what is the value of the inverse function of h(x) when x=-1. The inverse function x and y values swap with original functions. When x=1, y=-1 so the inverse of that will be when x=-1, y=1.

Applying the inverse function concept, it is found that \(h^{-1}(-1) = 1\)

The inverse function \(f^{-1}(x) = a\) means that \(f(a) = x\).

In this problem, it is asked \(h^{-1}(-1)\).

A similar problem, also involving inverse functions, is given at https://brainly.com/question/23950969

Answer:

27!

Step-by-step explanation:

Heya! Considering that the question has already given you the values of x and y, all you are left to do is plug them back into the equation. The value of 6 multiplied by x- 5- gets you to 30. Since y is equal to 1, 3 multiplied by 1 gets you 3. 30-3 gets you to 27, so that is your answer. I hope this helped! (Please mark as branliest if I did happen to get this right. <3)

Answer:

y=⅔m-8 or 3y=2m-8

Step-by-step explanation:

put both equations in the form y=mx+c and solve simultaneously. when done, you will recive values for m and c. replace those values into y=mx+c

Answer:

what are the options like A B C or D

Answer:

the range is all the y values or output values.

Step-by-step explanation:

example

x y

1 2

2 4

3 6

4 8

range=(2,4,6,8)

Answer:

32 are in California and 8 are in Nevada.

Step-by-step explanation:

You multiply 40 by 0.80. You then get 32. That's your answer.

The surface area of the newly formed right pyramid is multiplied by scale factor 2.

Given that,
Right pyramid,
Edge of the base = 8 cm
Slant height = 25 cm

Surface area is defined as the area of the surface that is uncovered.

Surface area of the right pyramid = 1/2 * edge of the base * slant height

                                                       = 1/2 * 8 * 25
                                                       = 100 cm²
Now, two dimensions are doubled,
slant height = 50
Edge of the base = 16
New Surface area of right pyramid = 1/2 * edge of the base * slant height
                                                           = 1 / 2 * 50 * 16
                                                           = 400 cm²

Now, scale factor, the ratio of the surface areas later to the former,
scale factor = 400 / 100
scale factor = 4

Thus, the surface area of the newly formed right pyramid is multiplied by scale factor 2.

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Answer:

is 4

ksquared = 2squared = 4

Step-by-step explanation:

================================================

Work Shown:

Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)

s^2 = x^2+y^2

s^2 = 15^2+20^2

s^2 = 225+400

s^2 = 625

s = sqrt(625)

s = 25

-----------

Now we can apply the derivative to both sides to get the following.  Don't forget to use the chain rule.

s^2 = x^2 + y^2

d/dt[s^2] = d/dt[x^2 + y^2]

d/dt[s^2] = d/dt[x^2] + d/dt[y^2]

2s*ds/dt = 2x*dx/dt + 2y*dy/dt

2(25)*ds/dt = 2(15)*5 + 2(20)*(10)

50*ds/dt = 150 + 400

50*ds/dt = 550

ds/dt = 550/50

ds/dt = 11

-----------

Side note: The information t = 40 is never used. It's just extra info.

Answer:

option (c) 4

Step-by-step explanation:

sides opposite to equal angles are equal

so ML = MN

that is 4x = x+3

4x - x = 3

3x = 3

x= 1

ML= 4x = 4*1 = 4 units

MN = x+3= 1+3= 4 units

so answer is option (c) 4

hope this answer help you

Answer:

Make all fractions have the same common denominator, and you will find that 3/8 is the smallest value.

Step-by-step explanation:

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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Answer:

draw the diagram and multiply 5x20

Answer:

a. 19

b. 14

Step-by-step explanation:

From the venn diagram, we see that:

9 children like only Vanilla

7 like vanilla and chocolate

12 like only chocolate, and

2 like neither chocolate nor vanilla

Thus:

a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19

19 children like chocolate ice-cream.

b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14

14 children do not like vanilla ice-cream.

Answer:

I believe the answer will be 63 degrees not 100% sure tho

Step-by-step explanation:

The reason is because triangle FHE measures 27 degrees it looks like FHE is a right triangle so there needs to be a total of 90 degrees in a right triangle so 90-27=63 like I said not 100% correct

The equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

The equation of a circle with center (a,b) and radius r is given by the equation:

(x - a)^2 + (y - b)^2 = r^2

Using the given values, the equation of the circle with center (1/2, 0) and radius 2 is:

(x - 1/2)^2 + (y - 0)^2 = 2^2

Expanding and simplifying, we get:

(x - 1/2)^2 + y^2 = 4 - 1/4

Therefore, the equation of the circle is:

(x - 1/2)^2 + y^2 = 15/4

So, the equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

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Answer:

16,25,30,49

25+30=55

55÷2=27.5

Step-by-step explanation:

median means the middle value of any set of data so first arrange the data into ascending order.

16, 25, 30, 49

the data is even so we take both the middle value , add it and divide it with 2

25+30=55

55÷2=27.5

-32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

In the given question, a 5 foot person walks at 40 feet per minute on a level path toward a vertical wall.

A light on the ground directly behind the person casts a shadow of the person on the wall.

The light is loo feet from the wall.

We have to find how fast the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall.

From the diagram given below;

dx/dt = 40 feet/min

y/100 = 5/x

Multiply by 100 on both side, we get;

y = (5×100)/x

y = (500)/x

dy/dt = -500/x^2(dx/dt)

Now putting the value of dx/dt

dy/dt = -500/x^2 *40

dy/dt = -20000/x^2

from the diagram given below, x = 75 feet

Now putting the value of x

dy/dt = -20000/(75)^2

dy/dt = -32/9 feet/min

Hence, -32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

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Joe earned $140 for working 20 hours

To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Joe worked 14 hours  and earned = $119

Joe worked for 1 hour and earned = $ 119/ 14

Joe worked for 20 hours and earned = $ 119/ 14 x 20

                                                                 = 4140

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Answer:  x + 8

Step-by-step explanation:

\(f(g(x))=f(\frac{1}{2}x+2) = 4+2(\frac{1}{2}x+2) = 4+x+4 =x +8\)

To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:

A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)

To find the limit, we divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)

Therefore, the limit of the sequence A is 5.

B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)

Again, divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)

So, the limit of sequence B is -7.

C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)

Divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)

As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)

Therefore, the limit of sequence C is 4.

To summarize:

A. The limit of sequence A is 5.

B. The limit of sequence B is -7.

C. The limit of sequence C is 4.

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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