What is the slope of the line? PLEASE HELP!

Answer:

a = 4

Step-by-step explanation: Given that

ar=2 where a is the first term and is the common ratio.

ar=2 ............1

Also give that a/1-r = 8 where a is the first term and r is the common ratio as well.

a/1-r = 8 ......... 2

From equation 1 make r the subject

ar=2

r= 2/a...........3

Put equation 3 into 2

a/1-2/a =8

a÷1-2/a

a = 8(1-2/a)

a= 8/1-16/a

a/1= 8a-16

a^2= 8a-16

Rewriting the above equation

a^2-8a+16=0

This will eventually be

a^2-8a+16=0

(a-4)^2= 0

a =4

Answer:

5572.5 or 5573 inches

Step-by-step explanation:

First of all, the formula is 4/3(pi)r^3

So 4/3(3.14)11^3

So then 5572.5 or 5573 inches

Answer:

0.0544

Step-by-step explanation:

From the given information;

The population proportion of the voters that would support the ballot measures in region A = 0.46

The random sample n = 400 voters

The required probability can therefore be computed as follows:

[tex]P[p_1>0.5] = P \bigg [ \dfrac{p_1-P_1}{\sqrt{\dfrac{P_1(1-P_1)}{n_1}}}>\dfrac{0.5-0.46}{\sqrt{\dfrac{0.46(1-0.46)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{\dfrac{0.46(0.54)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{6.21\times 10^{-4}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>1.605 \bigg][/tex]

[tex]P[p_1>0.5] = 1- P [ Z<1.605 ][/tex]

Using the Excel Function =NORMDIST(1.605)

[tex]P[p_1>0.5] = 1- 0.9456[/tex]

[tex]P[p_1>0.5] =0.0544[/tex]

Therefore, the required probability = 0.0544

Answer:

y = -3/5x + 1

Step-by-step explanation:

Answer:

-12yx

Step-by-step explanation:

y=x/2+3

y-3= -6

-6y= x/2

-6 x 2= -12yx

Complete question :

A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,

the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats

per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's

bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t.

a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?

10 minutes? 13 minutes?

Answer:

76.384 ;

68.389 ;

65.369;

62.749

Step-by-step explanation:

Given function:

r(Q) = 60+ 0.2Q ; amount of drug on patient's body, Q and heart rate (r)

The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t

a. What is the heart rate of this patient

5 minutes after the drug was administered?

t = 5 ; quantity of drug on patient's body ;

Q(5) = 250(0.8)^5 = 81.92

Q = 81.92

Heart rate (r)

r(81.92) = 60+ 0.2(81.92) = 76.384

t = 8 minutes?

Q(8) = 250(0.8)^8 = 41.94304

Q = 41.94304

Heart rate (r)

r(41.94304) = 60+ 0.2(41.94304) = 68.389

t = 10 minutes

Q(10) = 250(0.8)^10 = 26.8435456

Q = 26.8435456

Heart rate (r)

r(26.8435456) = 60+ 0.2(26.8435456) = 65.369

t = 13 minutes

Q(13) = 250(0.8)^13 = 13.7438953472

Q = 13.7438953472

Heart rate (r)

r(13.7438953472) = 60+ 0.2(13.7438953472) = 62.749

Answer:

5 ( 1 + 20 n )

Step-by-step explanation:

Answer:

Your answer will be 150

Step-by-step explanation:

your answer going to be 150

Answer:

same slope but the y- intercept would be -9

Answer:

K?

Step-by-step explanation:    

Answer:

a=−2n3−p−1a=-2n3-p-1

Answer:

a=−2n3−p−1a=-2n3-p-1

Step-by-step explanation:

Answer:

i knew it but i forgot

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

−5(2)(−4)=2(x−8)

Simplify both sides of the equation.

−5(2)(−4)=2(x−8)

−5(2)(−4)=(2)(x)+(2)(−8)(Distribute)

40=2x+−16

40=2x−16

Step 2: Flip the equation.

2x−16=40

Step 3: Add 16 to both sides.

2x−16+16=40+16

2x=56

Step 4: Divide both sides by 2.

2x/2 = 56/2

x=28

Answer:

right option

Step-by-step explanation:

Answer:

c becues its a bigger number

Step-by-step explanation:

Answer: A.  (-1, -3)

This point is on the boundary line, but the boundary line is a dashed line. So this point is not part of the solution. The dashed line is like an electric fence you can get closer to, but you cannot touch it. It's due to the fact there isn't any "or equal to" as part of the inequality sign. So that's why (-1,-3) is not in the solution set. If the boundary line was solid, then (-1,-3) would be a solution.

Points like (5,1), (20,-5) and (0,0) are solutions because they are in the pink shaded region, and they aren't on the boundary.

Answer:

33/4

Step-by-step explanation:

Answer:

3.14((4^2)+(4)(2))

3.14(16+8)

3.14(24)

=75.36

You just want to plug in the values of a and b into the equation and solve using order of operations. Hope this helps!

Step-by-step explanation:

Answer:

he will need 4 cans to make it 100 %compleate

Answer:

multiply it by.15

Step-by-step explanation:

Answer:  862.50 g

Step-by-step explanation:

Find what 15% of 750  is  then add the obtained value to 750 to find the new weight.

15% * 750  = 112.5  

750 + 112.5 = 862.50

Answer:

0.8

Step-by-step explanation:

i believe it would be 56/7000 and you multiply your answer 0.008 by 100 so 0.8 had a mild reaction

Answer:

0.8%

Step-by-step explanation:

Think of it as a fraction: 56/7,000. To get a percent you want to simplify the denominator to 100. Then what you do to the denominator, you must do to the numerator, so simplify 56 by the number you simplified 7,000 to get to 100. Then you will have your answer of 0.8%.

Answer:

3/57

Step-by-step explanation:

3/57 because 3/3*19=1/19

Answer:

C is answer I think 0, because

Answer:

C.

Step-by-step explanation:

100%sure

Because -5 in front will equal a positive because you have a positive 0 in back therefore it will be C brainliest please!

Answer:

x = -4

Step-by-step explanation:

Multiply both sides by 2. Move constant to the right-hand side and change the sign. Add the numbers. And change the signs on both sides of the equation.

Answer:

a

[tex]P_k = 0.83[/tex]

b

 [tex]N_{\mu} \approx 4 \ passengers[/tex]

c

[tex]T_{\lambda} = 0.5 \ minutes[/tex]

Step-by-step explanation:

From the question we are told that

The average number of passengers that arrive per minute is [tex]\lambda = 10[/tex]

The average number of check that can be carried out in one minute is [tex]\mu= 12[/tex]

Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as

        [tex]P_k = \frac{\lambda }{ \mu }[/tex]

=>    [tex]P_k = \frac{10 }{ 12}[/tex]

=>    [tex]P_k = 0.83[/tex]

Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as

     [tex]N_{\mu} = \frac{\lambda^2}{\mu (\mu -\lambda) }[/tex]

=>  [tex]N_{\mu} = \frac{10^2}{12 (12 -10) }[/tex]

=>  [tex]N_{\mu} \approx 4 \ passengers[/tex]

Generally the average time a passenger spend at the checkpoint is mathematically represented as

      [tex]T_{\lambda} = \frac{ \frac{\lambda}{(\mu - \lambda)} }{ \lambda}[/tex]

=>   [tex]T_{\lambda} = \frac{ \frac{ 10}{(12 - 10)} }{10}[/tex]

=>   [tex]T_{\lambda} = 0.5 \ minutes[/tex]

Answer:

146.5619<x<153.4381

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as:

CI =  xbar±(z*s/√n)

xbar is the mean = 150

s is the standard deviation = 15.50

n is the sample size = 55

z is the z score at 90% CI = 1.645

Substitute and get CI

CI = 150±(1.645*15.50/√55)

CI = 150±(1.645*15.50/7.4162)

CI = 150±(1.645*2.09)

CI = 150±(3.4381)

CI = (150-3.4381, 150+3.4381)

CI = (146.5619, 153.4381)

CI = 146.5619<x<153.4381

Hence a 90% confidence interval for the population mean repair cost 146.5619<x<153.4381

The minimum cost is approximately $147 while the maximum cost of the refrigerator is $153

Answer:

y=5/2x+5

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope, and b is the y intercept

FIrst we have to find the slope which is rise/run

Since our points are (-2,0) and (0,5) the equation will be:

5-0/0-(-2)

5/2

The slope is 5/2

Next we have to plug in 5/2 for m:

y=5/2x+b

We know that the y intercept is 5 from the coordinate (0,5)

y=5/2x+5

Answer:

y is  5/2 and x is 5

Step-by-step explanation:

i just know it already x3

Answer: 4.45935

Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.

Complete Question:

Last year Mr. Petersen’s rectangular garden had a width of 5 meters and an area of 20 square meters.  This year he wants to make the garden three times as long and two times as wide.  

Last year, Mr. Petersen had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year, but he needs to buy more fencing to go around this year’s garden.  

How many more meters of fencing is needed for this year’s garden than last year’s?

Answer:

26 meters of fencing needed

Step-by-step explanation:

Given

Last Year:

[tex]Width = 5m[/tex]

[tex]Area = 20m^2[/tex]

This Year:

[tex]Length = 3\ times\ longer[/tex]

[tex]Width = 2\ times\ wider[/tex]

Required

Determine how many more meters is needed

Represent last year's length of Fence with L and last year's width with W

First, we need to calculate L

[tex]Area = L * W[/tex]

Where

[tex]Area = 20m^2[/tex]

[tex]W = 5m[/tex]

[tex]20m^2 = L * 5m[/tex]

Divide both sides by 5m

[tex]\frac{20m^2}{5m} = \frac{L * 5m}{5m}[/tex]

[tex]\frac{20m^2}{5m} = L[/tex]

[tex]L = \frac{20m^2}{5m}[/tex]

[tex]L = 4m[/tex]

So, we have that:

For Last Year

[tex]Length = 4m[/tex] and [tex]Width = 5m[/tex]

For this year:

[tex]Length = 3\ times\ longer[/tex]

[tex]Length = 3 * 4m[/tex]

[tex]Length = 12m[/tex]

[tex]Width = 2\ times\ wider[/tex]

[tex]Width = 2 * 5m[/tex]

[tex]Width = 10m[/tex]

So, for this year, we have:

[tex]Length = 12m[/tex] and [tex]Width = 10m[/tex]

Next, we calculate perimeter of fencing in both years.

[tex]Perimeter = 2 * (Length + Width)[/tex]

Last Year:

[tex]Perimeter = 2 * (4m + 5m)[/tex]

[tex]Perimeter = 2 * 9m[/tex]

[tex]Perimeter = 18m[/tex]

This Year:

[tex]Perimeter = 2 * (12m + 10m)[/tex]

[tex]Perimeter = 2 * 22m[/tex]

[tex]Perimeter = 44m[/tex]

To get the meters of fencing needed this year, we simply calculate the difference in the calculated perimeters.

[tex]Difference = 44m - 18m[/tex]

[tex]Difference = 26m[/tex]

Hence, there are 26 meters of fencing needed

Answer:

y=-2x+15

Step-by-step explanation

A perpendicular line always has the opposite reciprocal slope of the line it is 90 degrees from.

Since the slope of the other line is 1/2, the slope of this line must be -2. And with the slope of a line -2 with point (4,7), you can start plugging in numbers.

y=-2x+b

7= -2(4)+b

7= -8+b

15=b

Therefore, the equation of the line is y=-2x+15