Graph the line y=-1/3x+3

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Answer:

11/3x

your welcome

9514 1404 393

Answer:

Step-by-step explanation:

The audience per dollar is ...

  Newspaper: 1000/$200 = 5/$

  Radio: 800/$100 = 8/$

  TV: 14000/$800 = 17.5/$

So, TV gives the greatest exposure. As much of the budget as possible should be spent on TV ads. That amount is the lesser of $6000 and ...

  (7 ads)($800/ad) = $5600

With $5600 spent on TV ads, the remaining advertising budget is ...

  $6000 -5600 = $400

The next most cost-effective medium is radio. The remaining $400 budget allows for ...

  $400/($100/ad) = 4 ads

__

To maximize exposure, the advertising budget should be spent this way:

Answer:

use a contractor or protractor or whatever theyre called

Step-by-step explanation:

i just need points to ask another question

Answer:

1.02n

Step-by-step explanation:

We just have to simply the expression already given which will give you the equivalent expression.

n + 0.02n since these are like terms because of the variable "n", we can just add them together

n+0.02n

1.02n

The required simplified product is 3/2.

Given that fractions  3/8 ÷ 1/4.

To divide two fractions by multiplying the first fraction with the reciprocal of the second fraction.

Let a, b, c and d be any real numbers. Consider a/b ÷ c/d that gives

[tex]\frac{a}{b}[/tex]  ÷  [tex]\frac{c}{d}[/tex] = [tex]\frac{a}{b}[/tex] ×  [tex]\frac{c}{d}[/tex].

That implies, [tex]\frac{3}{4}[/tex]  ÷  [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{8}[/tex] ×  [tex]\frac{4}{1}[/tex] = [tex]\frac{3}{2}[/tex].

Hence, the required simplified product is 3/2.

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Answer:

D

Step-by-step explanation:

Its d Reason is if she has 5 and he has 10 he has twice as much

Answer:

18 meters per second

Step-by-step explanation:

414/23=18

Not trying to be rude but you should know how to do this with or without a calculator

Answer: 0.07

Step-by-step explanation:

Use the given functions to set up and simplify 5years. 7% = 0.075 years = 0.07

Answer:

-294

Step-by-step explanation:

Answer:

1040

Step-by-step explanation:

just took 65 and mutiply 65$

Answer:

1040

Step-by-step explanation:

just took 65 and mutiply 65$

Answer:

y + 3x = - 20

Step-by-step explanation:

x - 3y + 25 = 0

- 3y = - 25 - x

3y = 25 + x

y = ( 25 + x )/3

y = ( 1/3 )x + 25/3

Y= mX+ c

m= gradient= 1/3

The perpendicular gradient should be the negative reciprocal of the gradient we have now.

which is : -1÷(1/3) = -3

Now for the perpendicular line equation, we have:

y = 1

x= 7

m= -3

y - y1 = m ( x - x1 )

y - 1 = -3 ( x + 7 )

y-1 = -3x -21

y + 3x = -20

Answer:

5 is in the hundreths place :))

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.

Step-by-step explanation:

i dont see a venn diagram but i think the number is probably more than 5

The probability that the number selected is odd or less than five will be 0.20 or 20%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are written on a separate piece of paper and placed in a hat.

One piece of paper is randomly selected from the hat.

Then the probability that the number selected is odd or less than 5 will be

Total event = 10

Favorable event = 2 {1, 3}

Then the probability will be

[tex]\rm P = \dfrac{2}{10}\\\\P = 0.2 \ or \ 20\%[/tex]

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Answer:

[tex]T = (20,25)[/tex]

Step-by-step explanation:

Given

[tex]S = (-5,0)[/tex]

[tex]M = (10,15)[/tex]

[tex]Ratio = 3:2[/tex]

Required

Determine the coordinate of T

Line division by ratio is calculated using:

[tex]M(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where:

[tex](x_1,y_1) = (-5,0)[/tex]

[tex](x,y) = (10,15)[/tex]

[tex]m:n = 3:2[/tex]

So, we have:

[tex](10,15) = (\frac{3 * x_2 + 2 * -5}{3+2},\frac{3 * y_2 + 2 * 0}{3+2})[/tex]

[tex](10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5})[/tex]

Multiply through by 5

[tex]5 * (10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5}) * 5[/tex]

[tex](50,75) = (3x_2 -10,3y_2)[/tex]

By comparison:

[tex]3x_2 - 10 = 50[/tex]

[tex]3y_2 = 75[/tex]

[tex]3x_2 - 10 = 50[/tex]

[tex]3x_2 = 50 + 10[/tex]

[tex]3x_2 = 60[/tex]  --- Divide through by 3

[tex]x_2 = 20[/tex]

[tex]3y_2 = 75[/tex]

[tex]y_2 =75/3[/tex] --- Divide through by 3

[tex]y_2 =25[/tex]

Hence:

The coordinates of T is

[tex]T = (20,25)[/tex]

A percentage is a way to describe a part of a whole. The amount paid by Marta for the cookbook is $7.80.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the original price of the cookbook was $13, Marta bought it for 40% off. Therefore, Marta only paid 60% of the original cost,

[tex]\text{Amount paid by Marta} = \text{60\% of the original cost}\\\\\text{Amount paid by Marta} = \dfrac{60}{100} \times \$13\\\\\text{Amount paid by Marta} = \$7.8[/tex]

Thus, the amount paid by Marta for the cookbook is $7.80.

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Hi, you've asked an incomplete question. However, I provided a brief explanation about confidence interval and confidence level.

Explanation:

The term confidence interval and confidence level are not the same but they are related. Confidence interval refers to a range of values that makes up part of the statistic's mean data which contains an unknown population parameter.

However, the Confidence level is the level of certainty that the confidence interval would contain the true population parameter if a random sample is drawn.

Step-by-step explanation:

x-4)x³+2x²-16x-32(x²+6x+8

x³-4x²

- +

____________

6x²-16x-32

6x²-24x

- +

_________

8x-32

8x-32

- +

_____

X X

______

Hence,

The quotient is x²+6x+8.

Answer:

1) A is a cat; B is a dog; C is a cat; D is a dog; E is a dog; F is a cat

2) A lives with B in a yellow house; C lives with D in a blue house; E lives with F in a red house.

Step-by-step explanation:

Step 1: First we identify the animals as cats or dogs

A is a cat

B is a Dog

Since B can live with C, C is a cat

Since D can live with A, D is a dog

F is a cat since it can live with D

E is therefore, a dog

Step 2: We then identify the house each two animals live in pairs of a cat and a dog

D lives in a blue house

A lives in a yellow house since it does not live with D or in a red house

C lives with D in a blue house since D does not live with either A or F

E lives in a red house since it does not live with A or in a yellow house

F lives with E in a red house since E does not live with A

Therefore, B lives with A in a yellow house

''Store A'' has the least amount to pay for an item at price of 291.60.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Price : 360

Hence,

Store A: Sale of 10% off and a successive discount of 10% off.

360 x (100-10)% = 360 x 90% = 324

324 x (100-10)% = 324 x 90% = 291.60

Store B: Sale of 15% with no additional discount

360 x (100-15)% = 360 x 85% = 306

Store C: Sale of $35 off and a successive discount of 10% off

360 - 35 = 325

325 x (100-10)% = 325 x 90% = 292.50

Hence, Store A has the least amount to pay for an item at price of 291.60

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Answer:

it must have more than 3 factors

Step-by-step explanation:

that factors are 1,2,491,982

Answer: Each towel costs $1.90

Step-by-step explanation:

$15.20 divided by 8 = $1.90

Answer:

The mean is  [tex]\= x  = 79.7 [/tex]

The standard deviation  [tex]\sigma =7.81[/tex]

Step-by-step explanation:

From the question we are told that

  The data given is  

Temperature                Lower Limit           Upper Limit               Days

50-59                               50                             59                          2

60-69                                 60                            69                        313

70-79                                  70                           79                          1419

80-89                                   80                          89                         1503

90-99                                   90                          99                          319

100-109                                100                         109                         9        

Generally the average of each limit is evaluated as

Temperature    Lower Limit   Upper Limit         Average[tex](x_i)[/tex]                    Days[tex](f_i)[/tex]

50-59                 50                   59              ( 50 + 59 )/2 =54.5                 2

60-69                 60                   69              (60+69)/2 = 64.5                    313

70-79                 70                    79               (70+79)/2 =74.5                    1419

80-89                 80                   89                (80+89)/2 =84.5                  1503

90-99                 90                   99                 (90+99)/2 = 94.5                319

100-109             100                  109                 (100+109)/2 = 104.5            9  

Generally the mean is  evaluated as

     [tex]\mu  =  \frac{\sum x_i f_i}{\sum f_i}[/tex]

=>  [tex]\mu  =  \frac{ (54.5 * 2) + (64.5 * 313) +\cdots +(104.5 *  9)}{2 + 313 +\cdots + 9}[/tex]

=> [tex]\= x  = 79.7 [/tex]

Generally the standard deviation  is  evaluated as

    [tex]\sigma = \sqrt{ \frac{\sum[ f_i * ( x_i^2 - \= x^2)] }{\sum f_i}}[/tex]

=>   [tex]\sigma =\sqrt{ \frac{[2 * [(54.5)^2) - 79.7^2 ]]+[313 *[ (64.5)^2)-79.7^2] +\cdots +[9 *[ (104.5)^2)- 79.7^2]  }{2 + 313 +\cdots + 9}}[/tex]

=>  [tex]\sigma =7.81[/tex]

The mean and Standard deviation for the given data would be as follows:

μ [tex]= 79.7[/tex]

б [tex]= 7.81[/tex]

Given that,

Temperature       Lower Limit           Upper Limit             Days([tex]f_{i}[/tex])

50-59                       50                           59                          2

60-69                       60                           69                         313

70-79                         70                           79                          1419

80-89                        80                          89                          1503

90-99                        90                          99                           319

100-109                    100                         109                            9  

Average([tex]x_{i}[/tex])    

[tex]( 50 + 59 )/2 =54.5[/tex]

[tex](60+69)/2 = 64.5[/tex]

[tex](70+79)/2 =74.5[/tex]

[tex](80+89)/2 =84.5[/tex]

[tex](90+99)/2 = 94.5[/tex]

[tex](100+109)/2 = 104.5[/tex]

As we know,

Mean (μ) [tex]=[/tex] ∑[tex](x_{i} f_{i}) /[/tex]∑[tex]f_{i}[/tex]

[tex]= [(54.5[/tex] × [tex]2) + (64.5[/tex] ×[tex]313)+....(104.5[/tex]× [tex]9)][/tex][tex]/(2 + 313 + 1419 + ....9)[/tex]

∵ μ [tex]= 79.7[/tex]

As we know,

Standard Deviation:-

[tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{f_{i} }}}[/tex]

by putting the values, we get

∵ б [tex]= 7.81[/tex]

Thus, μ [tex]= 79.7[/tex] and б [tex]= 7.81[/tex] are the correct answers.

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Answer:  ₹ 600 and 15% discount rate i believe

Step-by-step explanation:

Answer:

0.0438 kg

Step-by-step explanation:

We are given;

Potential energy; U = 860 J

Height; h = 2 km = 2000 m

Formula for potential energy is;

U = mgh

Where g is acceleration due to gravity = 9.81 m/s²

Thus;

860 = m × 9.81 × 2000

m = 860/(9.81 × 2000)

m = 0.0438 kg

Answer:

yes i can help you

Step-by-step explanation:

Answer:

The height is the water wheel diameter so if you have 9' of head but are only running a 6 foot diameter wheel the height for this calculation is 6 feet. Most people use 12v batteries to store their electricity and an inverter

Step-by-step explanation:

Sorry if I cant help but that's number 2 answer.

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]

            [tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

= 3/4 × 3 3/7

= 3 3/7 as an improper fraction = 24/7

= 3/4 × 24/7

= 3 × 24 / 4 × 7

= 72/28

Let us try to simplify it .

We know that both 72 and 28 is divisible by 4 . Hence ,

72 ÷ 4 / 28 ÷ 4

= 18/7

Therefore , 3/7 × 3 3/7 = 72/78 or 18/7 ( simplest form ) .

Answer: 1²³⁄₄₉

Step-by-step explanation:

Convert any mixed numbers to fractions

3³⁄₇ x ²⁴⁄₇

Applying the fractions formula for multiplication

3 x 24

_____

7   x  7

= ⁷²⁄₄₉

Simplifying fraction

1²³⁄₄₉