Select the equations of the line that goes through the point 6,-2 and is perpindicular to the line y+2=-2/5(x-10) .
A. y=-2/5x+2
B. y=5/2x-17
C. 5x-2y=34
D. 2x+5y=2
E. y+2=-2/5(x-6)
F. y+2=5/2(x-6)

Answer: 17/5 or 3.4

Step-by-step explanation:

Substitute  p for 3/5 so it would be 2/3(3/5)+3

2/3(3/5)= 2/5

2/5+3=17/5 or 3.4

Hope this helps :)

Answer:

Step-by-step explanation:

Substitute  p for 3/5 so it would be 2/3(3/5)+32/3(3/5)= 2/52/5+3=17/5 or 3.4

It could be said that the normal probability plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.

If the data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation coefficient of 0.975., on analysing

The normal plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.

Therefore,  It could be said that the normal plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.

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Answer: 35

Step-by-step explanation:

If 85 students signed up for mathematics but 50 of those students also signed up for both then you need to subtract 85 from 50 to get 35.

Regarding the velocity and acceleration functions, it is found that:

b) The particle is moving to right on these following intervals: (0,1) U (3,10).

c) The velocity when the acceleration is of zero is: -1 m/s.

A particle is moving to right when it's velocity is positive.

In this problem, the velocity function is presented as follows:

v(t) = 3t² - 12t + 9.

The velocity function is a concave up quadratic function, which is positive to left of the smaller root and to the right of the larger root.

The roots of the function are given as follows:

v(t) = 3(t² - 4t + 3)

Then:

3(t² - 4t + 3) = 0

t² - 4t + 3 = 0

(t - 1)(t - 3) = 0.

Considering the domain of the function, the intervals in which the car is moving right are:

(0,1) U (3,10).

The acceleration is given by the following equation:

a(t) = 6t - 12.

It is of zero when:

6t - 12 = 0

6t = 12

t = 12/6

t = 2.

The velocity at this instant is of:

v(2) = 2² - 4(2) + 3 = -1 m/s.

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Answer: x = 0, 8, -5

Step-by-step explanation:

We are trying to solve what value we substitute x into to get the value of 0. We have x outside of (x² - 3x - 40), and we can set that equal to 0. That will be one value of x because we are still left with (x² - 3x - 40). To solve this, we can factor it out into (x-8)(x+5). Set each equal to 0, (x-8) = 0 which leaves us with x = 8, and (x+5) =0, which leaves us with x = -5.

Answer: True

PLEASE GIVE ME BRAINLIEST THANK YOU VERY MUCH

True, the Subtraction Property of Equality can be used to solve it.

The equality subtraction property refers to balancing an equation by performing the same mathematical operation on both sides.

Let's work through your equation step by step.

4+x=13

Step 1: Take 4 off both sides.

4+x−4=13-4

x=9

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Answer: 9.57

Step-by-step explanation:

do 9 - -0.87 first.

that will give you 9.87

then you subtract 0.3

final answer: 9.57

Answer:

92

Step-by-step explanation:

3+3=6

[tex]\framebox{w=$\dfrac{25}{3}$}[/tex]

Flip the equation:

[tex]\frac{6}{5} w=10[/tex]

Multiply both sides by [tex]\frac{5}{6}[/tex]:

[tex](\frac{5}{6} )\times(\frac{6}{5} w)=(\frac{5}{6} )\times(10)[/tex]

[tex]w=\frac{25}{3}[/tex]

Using the Pythagorean Theorem, the approximately length of ladder is 20.6 feet

As we know Michael is standing on roof of his house.

He stands 5 feet away from his house

The ladder touches the point 20 feet above the ground and where the Michael standing

In this order we have to find the approximately length of ladder

From this question we can clearly figure out that in this question we have:

Perpendicular= 20 feet

Base = 5 feet

So as we can understand that we have to use Pythagorean Theorem

Pythagorean Theorem:

(Hypotenuse)^2 = (Perpendicular)^2+(Base)^2

(Hypotenuse)^2 = (20)^2+(5)^2

(Hypotenuse)^2 = 400+25

(Hypotenuse)^2 = 425

Hypotenuse=square root(425)

Hypotenuse=20.6 feet

Hence, the approximately length of ladder is 20.6 feet

So the option C is correct.

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Answer:

model a is more benfit the other one b/c of by hard working effort from b

Mike has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remaining t-shirts are white and the rest are purple, then the fraction of purple is 3/8

Mike has some t-shirts

The fraction of pink t-shirts = 1/4

The remaining t-shirts = 1 - (1/4)

= 3/4

1/2  of the remaining t-shirts are white

Then the fraction of white t-shirt = 3/4 × 1/2

= 3/8

The fraction of purple t-shirt = 1 - (1/4 + 3/8)

= 3/8

Hence, Mike has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remaining t-shirts are white and the rest are purple, then the fraction of purple is 3/8

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Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

[tex]\frac{12\text{ in}}{\$0.48}[/tex]

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

[tex]\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}[/tex]

Then, cross-multiply and solve for [tex]x[/tex]:

[tex]\$0.48x=(\$0.28)(12)[/tex]

[tex]\$0.48x=\$3.36[/tex]

[tex]x=\frac{\$3.36}{\$0.48}[/tex]

[tex]x=7[/tex]

The value of p is 10 and the angles of the triangles are 53°, 90°, 37°.

Given that,

In the picture there is a triangle with angles 53°, 8p+10°, 2p+17°.

We have to find the p value and each of the angles also.

While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it, the interior angles of a triangle always add up to 180°. By deducting the angle of the target vertex from 180°, one can also determine a triangle's exterior angle.

Take the angles ,

180 degrees is the sum of the angles in an triangle.

53°+ 8p+10°+ 2p+17°=180°

10p+80°=180°

10p=180°-80°

10p=100°

p=100/10

p=10°

The value of p=10.

The angles of the triangles are:

53°

8p+10=8(10)+10=80+10=90°

2p+17=2(10)+17=20+17=37°

Therefore, The value of p is 10 and the angles of the triangles are 53°, 90°, 37°.

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Answer: y > -3/4x + 2

Step-by-step explanation:

Answer:

[tex]r=\frac{21}{20}[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{1}{4} =r-\frac{4}{5}[/tex]
Add 4/5s on both sides:
[tex]-\frac{4}{5} +\frac{4}{5} =0[/tex]
[tex]\frac{1}{4} +\frac{4}{5}[/tex]
Find the LCM:
[tex]\frac{5}{20}+\frac{16}{20}[/tex]
[tex]\frac{5+16}{20}[/tex]
[tex]\frac{21}{20}[/tex]
[tex]r=\frac{21}{20}[/tex]

Hope this helps.

let's firstly convert the mixed fraction to improper fraction, now keeping in mind that the LCD of the denominators 4 and 5 is 20, let's use that LCD to do away with the denominators.

[tex]\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{9}{4}=r-\cfrac{4}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( -\cfrac{9}{4} \right)=20\left( r-\cfrac{4}{5} \right)}\implies -45=20r-16 \\\\\\ -29=20r\implies -\cfrac{29}{20}=r\implies -1\frac{9}{20}=r[/tex]

Answer:

-8

Step-by-step explanation:

i think

Answer:

Your answer is -8

Step-by-step explanation:

It should expect 4881 customers to have 10 months from now.

Function is a type of relation, or rule, that maps one input to specific single output.

Given that T-shirts, the number of customers has been Falling 10% per month

There are 14,000 customers this month

Now Creating the function :

Let y be the remaining customers and x be the number of months from now

y = (14,000)(1 - 0.1)ˣ

y = (14,000)(0.9)ˣ

Solving :

y = (14,000)(0.9)¹⁰

y = (14,000)(0.34867844)

y = 4881 customers

(nearest whole person)

Hence, it should expect 4881 customers to have 10 months from now.

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Answer:

It should expect 4881 customers to have 10 months from now.

The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million

We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;

A(h) = -0.06h² + 2h + 4

where h is the time in number of hours after which the concentration is recorded.

Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;

A(4) = -0.06(4²) + 2(4) + 4

A(4) = -0.96 + 12

A(4) = 11.04 parts per million

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Answer:

v = 4

Step-by-step explanation:

[tex]collect \: like \: terms \: \\ 7v - 4v - v + 4v = 7 + 7 + 10\\ 3v - v + 4v = 14 + 10\\ \\ 2v + 4v = 24 \\ 6v = 24 \\ v = 4[/tex]

Step-by-step explanation:

The hire purchase price of a refrigerator is $6509.A deposit of $500 is made and the reminder is paid in equal monthly payments of $250. Calculate the number of monthly payments that must be made.

amount paid over x months:  

$6509 - $500 = $6,009

Equal payments of $250:

$6,009 / $250 = 24.036 months of payments

[Depending on if they want the answer rounded up, answer may become 25]

Answer:

hire purchase= $6509

deposit=$500

monthly payment=$250

no of monthly payment that must be made=hire purchase - deposit divided by monthly payment

$6509-$500/$250=$6009/$250= 24.036 month

Juan's winnings has an expected value of $360

The given parameters in the question are:

$100 with probability 0.2,

$300 with probability 0.3,

$500 with probability 0.5.

The expected value is then calculated as

E(x) = Sum of (amount * probability)

Substitute the known values in the above equation, so, we have the following representation

E(x) = 100 * 0.2 + 300 * 0.3 + 500 * 0.5

Evaluate

E(x) = 360

Hence, the expected value  is $360

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The momentum of the automobile is 7200 kgm/s

Momentum can be described as the product of the velocity and mass of an object.

It is a vector quantity which is defined as a quantity having both magnitude and  direction.

The formula for calculating momentum is expressed as;

p = mv

Where;

Now, let's substitute the values

p = 1200(6)

expand the bracket

p = 1200 × 6

Multiply the values

p = 7200 kgm/s

Hence, the value is 7200 kgm/s

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Answer:

10, 17

Step-by-step explanation:

let the number be n then the other number is n + 7 and

n + n + 7 = 27

2n + 7 = 27 ( subtract 7 from both sides )

2n = 20 ( divide both sides by 2 )

n = 10

n + 7 = 10 + 7 = 17

the numbers are 10, 17

The probability that the proportion of Rolls Royce owners in a sample of 694 Americans would differ from the population proportion by less than 3% is; 0.36%

The Central Limit Theorem states that, for a normally distributed random variable X, with mean μ and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s = σ/√n

The standard deviation for proportion is given by the formula;

s = √(p(1 - p)/n)

We are given;

p = 8% = 0.08

n = 694

Thus;

s = √(0.08(1 - 0.08)/694)

s = 0.0103

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Due to the fact that the normal distribution is symmetric, the probabilities will be equal, and as a result, we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05.

z = (X - μ)/s

z = (0.05 - 0.08)/0.0103

z = -2.91

From p-value from z-score calculator, we have;

p-value = 0.001807

We multiply it by 2 to get the probability

Probability = 2 * 0.001807 = 0.0036 = 0.36%

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The statement that correctly describes the graph of the relationship is (d) A line that goes through (0, 0) and (4.3, 17.2).​

The table of values is given as

x 4.3 9.2 3.4

y 17.2 36.8 13.6

The table shows a proportional relationship

This means that the line of the graph must pass through the origin i.e. (0, 0)

From the table of values, we have the following point

(4.3, 17.2)

This means that the line of the graph goes through (0, 0) and (4.3, 17.2).​

Hence, the true statement is (d)

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Answer:

No, it is not proportional because 9.2 over 18.4 does not equal 17.6 over 52.8.

Step-by-step explanation:

What was Pam's starting salary?

Pam's current salary for 5 years = $73.500

Her salary went up for 122.5% in 5 years.
a = her starting salary

First, we will make an equation of this problem.

Let's use a as the symbol of her starting salary

equation that we are going to use
73500 = 122.5% x a

Next, we move a to the left and we want to divide 73500 with 122.5%
a = 73500 / (122.5/100)

Next, we want to divide 73500 with 1.225 since we've done dividing 122.5 with 100
a = 73500 / 1.225
a = 60000

Finally, we got the answer of Pam's starting salary was $60.000


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Answer:

60, 80, 100

Step-by-step explanation:

All 3 of these numbers are between 55 and 101, and can be divided by all 3 numbers provided.

The probability of taking math or science or both is 123/152

The total number of students = 152 students

Number of students who take math = 100 students

Number of student who take science = 77 students

Number of students who take both math and science = 55 students

The probability = Number of favorable outcomes /  Total number of outcomes

We have to find each term

The number of favorable outcomes =55+45+23

= 123

Total number of outcomes = 152

Substitute the values in the equation

​Probability of taking math or science or​ both = 123/152

Hence, the probability of taking math or science or both is 123/152

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Answer:

Luis had to make a $420 down payment

Step-by-step explanation:

10%: $2,100 / 10 = $210

20%: $210 x 2 = $420