What is the equation of the line perpendicular to y=5x-3 that passes through the point (3, 5)?

Answer:

B

Step-by-step explanation:

To solve this you do 80/100=.8

You than do .8×60= 48

Answer:

a) rCn = 1176

b) 2352

Step-by-step explanation:

a)Each committee should be formed with 3 members ( no two members could be of the same state) then

Let´s  fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then

rCn =  n! / (n - r )! *r!

rCn =  49!/ (49 - 2)!*2!

rCn =  49*48*47! / 47!*2!

rCn = 49*48 /2

rCn = 1176

So we can choose in 1176 different ways a senator for a given state

b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.

1176*2 = 2352

Answer:

4.2 in

Step-by-step explanation:

let us first visualize the sail as a triangular shape

the angle of the triangle from top is 40°

the height of the triangle is give as 5 in

we can apply SOH CAH TOA to solve for the base of the sail

the opposite = the base of the sail

the adjacent = the height of the sail= 5 in

therefore

Tan∅= Opp/Adj

Tan(40)= Opp/5

Opp= Tan(40)*5

Opp= 0.8390*5

Opp= 4.195 in

Hence the width of the sail is 4.2 in to the nearest tenths

Answer:

4.2

Step-by-step explanation:

Answer:

The  p-value is  [tex]p-value = 0.013167[/tex]

Step-by-step explanation:

From the question we are told that

     The  population mean is [tex]\mu[/tex] =  200 milligrams

     The sample size is [tex]n = 70[/tex]

     The sample  mean is  [tex]\= x = 205.7[/tex]

      The  sample standard deviation is  [tex]\sigma = 21 \ milligram[/tex]

Generally the Null hypothesis is  mathematically represented as

      [tex]H_o : \mu = 200[/tex]

The Alternative  hypothesis is  

     [tex]H_a : \mu < 200[/tex]

The test statistics is mathematically represented as

       [tex]t_s = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]

substituting values  

     [tex]t_s = \frac{ 205.7 - 200 }{\frac{21}{\sqrt{70} } }[/tex]

     [tex]t_s = 2.270[/tex]

Now the p-value is mathematically represented as

      [tex]p-value = P(Z \le t_s )[/tex]

substituting values  

      [tex]p-value = P(Z \le 2.270 )[/tex]

Using the Excel function[=NORMDIST(2.270)] to calculate the p-value we obtain that

       [tex]p-value = 0.013167[/tex]

Answer:

A) 0.012

From CollegeBoard

Answer:

Your answer is correct ✔️

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

2√3 + 3i is the answer

Step-by-step explanation:

Answer:

a

The sample size is  [tex]n = 219.2[/tex]

b

The  sample size is  [tex]n = 537.5[/tex]

Step-by-step explanation:

From the question we are told  that

    The standard deviation is  [tex]\sigma = 45 \minutes[/tex]

    The  Margin of  Error is  [tex]E = \pm 5 \ minutes[/tex]

Generally the margin of  error is mathematically represented as

         [tex]E = z * \frac{\sigma }{\sqrt{n} }[/tex]

Where  n is the sample  size

    So

             [tex]n = [\frac{z * \sigma }{E} ]^2[/tex]

Now  at  90%  confidence level the z value for the z-table is  

        z =  1.645

So

       [tex]n = [\frac{1.645 * 45 }{5} ]^2[/tex]

       [tex]n = 219.2[/tex]

The z-value at 99%  confidence level is  

        [tex]z = 2.576[/tex]

This is obtained from the z-table  

   So the sample size is  

         [tex]n = [\frac{2.576 * 45 }{5} ]^2[/tex]

        [tex]n = 537.5[/tex]

For the 90% confidence interval, the sample size is 219.2 and for the 99% confidence interval, the sample size is 537.5 and this can be determined by using the formula of margin of error.

Given :

The formula of the margin of error can be used in order to determine the sample size is needed if the executive wants to be 90% confident of being correct to within 5 minutes.

[tex]\rm ME = z\times \dfrac{\sigma}{\sqrt{n} }[/tex]

For the 90% confidence interval, the value of z is 1.645.

Now, substitute the values of all the known terms in the above formula.

[tex]\rm n=\left(\dfrac{z\times \sigma}{ME}\right)^2[/tex]   --- (1)

[tex]\rm n=\left(\dfrac{1.645\times 45}{5}\right)^2[/tex]

n = 219.2

Now, for 99% confidence interval, the value of z is 2.576.

Again, substitute the values of all the known terms in the expression (1).

[tex]\rm n=\left(\dfrac{2.576\times 45}{5}\right)^2[/tex]

n = 537.5

For more information, refer to the link given below:

https://brainly.com/question/6979326

Answer:

-3

Step-by-step explanation:

-3 is the answer

Answer:

-3

Step-by-step explanation:

Answer:

19/70 of NASA shuttle missions were carried out by Discovery.

9/140 of NASA shuttle missions were carried out by Challenger.

17/70 of NASA shuttle missions were carried out by Endeavour.

Step-by-step explanation:

Adding the number of missions carried out by NASA gives us 140 in total.

Discovery's total amount of missions simplified is 19/70.

Challenger's total amount of missions is already in the simplest form.

Endeavour's total amount of missions simplified is 17/70.

Answer:

81/140

Step-by-step explanation:

Well to find the fraction we first need to total amount of NASA missions.

38 + 32 = 70

70 + 34 = 104

104 + 27 = 131

131 + 9 = 140

Now we need to find out the amount of Discovery, Challenger, and Endeavour missions.

38 + 9 + 34 = 81

Now we can make the following fraction,

81/140

This is already in simplest form.

Thus,

the answer is 81/140.

Hope this helps :)

Answer:

C (the third table, from the second picture).

Step-by-step explanation:

First, we need to find the slope of the graph.

Two conspicuous points are (0, -3) and (2, 1).

The slope is: (1 - -3) / (2 - 0) = (1 + 3) / 2 = 4 / 2 = 2.

A: In the table, the y-values increase by 2, while the x-values increase by 4. 2 / 4 = 1 / 2 = 0.5. The slope is not the same as the graph.

B: In the table, the y-values decrease by 2, while the x-values increase by 4. -2 / 4 = -1 / 2 = -0.5. The slope is not the same as the graph.

C: In the table, the y-values increase by 4, while the x-values increase by 2. 4 / 2 = 2 / 1 = 2. The slope is the same as the graph, so C is your answer.

D: In the table, the y-values decrease by 4, while the x-values increase by 2. -4 / 2 = -2 / 1 = -2. The slope is not the same as the graph.

Hope this helps!

Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

[tex]y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x[/tex]

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

[tex]y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12[/tex]

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

[tex]y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x[/tex]

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

[tex]y=-4}x\\ 4=-4x\\x=-1[/tex]

Answer:

6y +2x +7

Step-by-step explanation:

10 + 6y + 2x - 3​

The only like terms are the constant

6y+2x +10-3

6y +2x +7

Answer:

2x + 6y + 7.

Step-by-step explanation:

10 + 6y + 2x - 3

= 2x + 6y - 3 + 10

= 2x + 6y + 7.

Hope this helps!

Answer:

12/18 and 10/15

Step-by-step explanation:

12/18 simplifies into 2/3

10/15 simplifies into 2/3

12/20 simplifies into 3/5

10/25 simplifies into 2/5

8/16 simplifies into 1/2

3/4 simplifies into 3/4

5/3 simplifies into 5/3

3/5 simplifies into 3/5

The pairs consist of equivalent fractions will be 12/20 and 10/25. Then the correct option is A.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

Let's check all the options, then we have

A) 12/18 and 10/15

12/18 and 10/15

2/3 and 2/3

Yes, they are equivalent fraction numbers.

B) 12/20 and 10/25

12/20 and 10/25

3/5 and 2/5

They are not equivalent fraction numbers.

C) 8/16 and 3/4

8/16 and 3/4

1/2 and 3/4

They are not equivalent fraction numbers.

D) 5/3 and 3/5

5/3 and 3/5

They are not equivalent fraction numbers.

The pairs consist of equivalent fractions will be 12/20 and 10/25. Then the correct option is A.

More about the fraction number link is given below.

https://brainly.com/question/78672

#SPJ2

Answer:

10.2 m

Step-by-step explanation:

180 - 81 - 30 = 69

law of sines

x /sin 30 = 19/sin 69

x = 10.2

Answer:

98.5

Step-by-step explanation:

The dude above do be wrong doh

Answer:

21

Step-by-step explanation:

Just like a dilation you want to find some sort of scale factor. Now when 7/2 is simplified it then becomes 3.5. Now multiply that by 6 since we are trying to find the ratio. when multiplied by 6 it becomes 21 so the ration of wins to losses is 21/6

Answer:

21 feet 4 inches

Step-by-step explanation:

Ellie bought two planks of wood that were each 4ft 3in long

Total length of these two planks = 4ft 3in + 4ft 3in = 8 feet 6 inches

she also bought  two planks of wood that were each 6 ft 5in long

Total length of these two  6 ft 5in planks =  6 ft 5in +  6 ft 5in = 12 feet10 inches

Thus, total length of all the woods purchased = Total length of 4ft 3in two planks  + Total length of the two  6 ft 5in planks

= 8 feet 6 inches + 12 feet 10 inches

adding feet with feet and inches with inches term

= 20 feet 16 inches

we know that 12 inches is equal to 1 feet

thus, 16 inches can be written as 1 feet 4 inches

thus,

20 feet 16 inches will be same as 21 feet 4 inches

The total length of the wood Ellie purchased is 21 feet 4 inches.

Answer:

ans1 9/11

ans2 8/52

it is because the reciprocol means the opposite of the the give value

Answer:

Step-by-step explanation:

a.

[tex] \frac{11}{9} [/tex]

Just flip the fraction, you will get:

[tex] \frac{9}{11} [/tex]

b.

[tex]5 \frac{1}{8} [/tex]

The first thing you have to do is that convert the mixed fraction into improper fraction.

To convert mixed fraction into improper fraction, you have to rewrite the denominator which is 8 , Thenafter you have to multiply 5 and 8 and then add 1

It would be:

[tex] \frac{5 \times 8 + 1}{8} [/tex]

[tex] = \frac{40 + 1}{8} [/tex]

[tex] = \frac{41}{8} [/tex]

Now , you have to flip it in order to get reciprocal:

[tex] = \frac{8}{41} [/tex]

Answer:

(-2, -(2pi)/3)

Step-by-step explanation:

a p ex

In da pic :)))))))))

Step-by-step explanation:

The first six terms for each of the following sequenses are:

(a) a_n = 3n - 10

1. a_1 = -7

2. a_2 = -4

3. a_3 = -1

4. a_4 = 2

5. a_5 = 5

6. a_6 = 8

(b) a_n = (1 + (-1)^n) ^n

1. a_1 = 0

2. a_2 = 4

3. a_3 =0

4. a_4 = 16

5. a_5 = 0

6. a_6 = 32

Answer:

B

Step-by-step explanation:

Answer:

∠CAB ≅ ∠SAB is not true

Step-by-step explanation:

CPCTC means id ABC = XYZ, than A=X, AB=XY, C=Z and so on. Basically the number numbers that come in the same order as the other one is equal.

So ∠CAS ≅ ∠BAS is true but ∠CAB ≅ ∠SAB is not.

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day! :)

Answer:

sap

Step-by-step explanation:

Answer:

Step-by-step explanation:

Applying the formula for the car deprecation we have

[tex]f(t)=P(1-\frac{r}{100} )^n[/tex]

Where,

A is the value of the car after n years,

P is the purchase amount,

R is the percentage rate of depreciation per annum,

n is the number of years after the purchase.

1. The depreciated value of the car after 1 yr is ​

n=1

[tex]f(t)= 15000(1-\frac{12}{100} )^1\\\f(t)= 15000(1-0.12 )\\\f(t)= 15000(0.88)[/tex]

Answer:

The graph of g( x ) is the graph of f(x) stretched vertically by a factor of 2.

Option C is the correct option.

Step-by-step explanation:

Solution,

f ( x ) = 2ˣ

g ( x ) = 2 ( 2 ˣ )

2 is multiplied with f(x)

2 is greater than 1

so, Vertical stretch by a factor of 2.

Option C is correct.

Hope this helps...

Best regards!!

We want to compare the functions f(x) and g(x), given that we know that g(x) is a transformation of f(x).

The correct option is B, "the graph of g(x) is the graph of f(x) stretched vertically by a scale factor of 2."

Here we know that:

f(x)  =2^x

g(x) = 2*f(x) = 2*2^x

First, remember that a general vertical dilation/stretch of scale factor k is written as:

g(x) = k*f(x)

So only by that and knowing that g(x) = 2*f(x), we can conclude that the graph of g(x) is the graph of f(x) dilated/stretched vertically by a scale factor of 2.

Then the correct option is B, "the graph of g(x) is the graph of f(x) stretched vertically by a scale factor of 2."

If you want to learn more, you can read:

https://brainly.com/question/16670419

Answer:

(-1,-2)

Step-by-step explanation:

[tex]6x-y=-4\\y=6x+4\\y=6(-2)+4=-8\\y=6(-1)+4=-2\\y=6(0)+4=4[/tex]

so the only one is (-1,-2)

Answer:

x = 1 3/22

Step-by-step explanation:

1/2 x + 3/5 x = 5/4

We need to get rid of the fractions by multiplying by 20 on each side

20 (1/2 x + 3/5 x) = 20 * 5/4

Distribute

10x + 12x = 25

Combine like terms

22x = 25

Divide each side by 22

22x/22 = 25/22

x = 22/22 + 3/22

x = 1 3/22

Answer:

[tex]x = 1\frac{3}{22}[/tex]

Step-by-step explanation:

=> [tex]\frac{1}{2} x + \frac{3}{5} x = \frac{5}{4}[/tex]

LCM = 20

So, Multiplying both sides by 20

=> [tex]20 (\frac{x}{2} + \frac{3x}{5}) = 5 * 5[/tex]

[tex]10 * x + 4*3x = 25\\10x+12x = 25\\22x = 25[/tex]

Dividing both sides by 22

[tex]x = \frac{25}{22}[/tex]

[tex]x = 1\frac{3}{22}[/tex]

Answer:

[tex]\mathrm{B.}[/tex] All real numbers except x = 2, x = 5

Step-by-step explanation:

If the denominator is equal to 0 then the function would be undefined.

Set the denominator equal to 0.

x² - 7x + 10 = 0

Factor the left side of the equation.

(x - 5)(x - 2) = 0

Set the factors equal to 0.

x - 5 = 0

x = 5

x - 2 = 0

x = 2

The domain is all real numbers except x = 2 and x = 5.

Answer:  A) -2

Step-by-step explanation:

The y-intercept (where the graph crosses the y-axis) is the "initial value".

Looking at the given graph, it crosses the y-axis when y = -2

Answer:

None,

they are all correct.

Step-by-step explanation:

A)

3/4 - 75%

4/5 - 80%

3/4 < 4/5

B)

5 ÷ 6 = .83333333333

5/6 > .83

C)

2 ÷ 3 = .666666666

2/3 > .66

D)

1 ÷ 3 = .33333333333

1/3 > .3

Thus,

all of the given statements are correct.

Hope this helps :)