what the slope of(7,3) (6,-2)​

Answer:

The general formula for nth term of given sequence is:

[tex]G_n = 54 . (\frac{1}{3})^{n-1}[/tex]

Step-by-step explanation:

Given sequence is:

54,18,6.....

In order to write the general formula of a sequence, first of all the common ratio has to be found. Common ratio is the ratio between consecutive terms of a geometric sequence.

[tex]Here\\a_1 = 54\\a_2 = 18\\a_3 = 6\\And\\r = \frac{a_2}{a_1} = \frac{18}{54} = \frac{1}{3} \\r = \frac{a_3}{a_2} = \frac{6}{18} = \frac{1}{3}[/tex]

The general formula is:

[tex]G_n = A_1 (r)^{n-1}[/tex]

Putting the values of a1 and r

[tex]G_n = 54 . (\frac{1}{3})^{n-1}[/tex]

Hence,

The general formula for nth term of given sequence is:

[tex]G_n = 54 . (\frac{1}{3})^{n-1}[/tex]

Answer:

Step-by-step explanation:

y + 5 = -4/3(x - 3)

y + 5 = -4/3x + 1

y = -4/3x - 4

Answer:

its C got it on E2020

Step-by-step explanation:

A line does not extend from a side of a triangle to form angle 2. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.

Choose the triangle in which angle 2 is not an exterior angle.

The external angle can be made when the line is extended and the angle is formed outside the triangle, which is known as the exterior angle.

A line does not extend from a side of a triangle to form angle 2. Then the correct option is C.

More about the triangle link is given below.

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Answer:   36

Step-by-step explanation:

Answer:

45 km per hour

Step-by-step explanation:

assuming the car maintains the same speed for the entire travel the speed would be 45 km per hour

Answer: 1/26

Step-by-step explanation:

Out of the 52 card deck there is a single Jack of diamonds and a single ace of clubs. Their individual probabilities are therefore both 1/52.

For the probability that you can pick either of those card you have to add up their probabilities;

= 1/52 + 1/52

= 2/52

= 1/26

Answer:

180/7 or 25 5/7

Step-by-step explanation:

20/3 * 27/7

cross multiply 3 and 27, 20/1 * 9/7 is left. Then, cannot simplify anymore.

So the answer come out.

180/7 or 25 5/7

Answer:

x + y + z = 123

Step-by-step explanation:

x:y:z = 7:2:5

Let x = 7a, y = 2a, z = 5a

Since x - z = 18

Therefore,

7a - 5a = 18

2a + 18

a = 18/2

a = 9

7a = 7*9 = 63

2a = 2*9= 15

5a = 5*9 = 45

x + y + z = 63 + 15 + 45

x + y + z = 123

Answer:

M + F = total

6F + F = total

7F = total

F = (1/7) total

Explanation:

You can look at this as a ratio also.

The ratio of females to males is 1:6

That means out of every 7 students,

1 is female and 6 are male.  

1 out of 7 is 1/7

Hope this helps!

please tell me if it does help.

Answer:

y=9x +5  , 8 hours

Step-by-step explanation:

9 dollars per hour = 9x

travel allowance = 5

y = 9x + 5

77 = 9x + 5

77 = 9x +5

-5          -5

-----------------

72= 9x

72/9 = x

x= 8

Answer:

1/3 × 6 = 2

Step-by-step explanation:

Probability of picking out a color is

23/138 + 23/138 = 46/138 = 23/69 = 1/3

Answer:

A

Step-by-step explanation:

We have the function:

[tex]f(x)=2x+5[/tex]

And we want to find f(11).

So, we can substitute 11 for our function and evaluate. Therefore:

[tex]f(11)=2(11)+5[/tex]

Evaluate:

[tex]f(11)=22+5=27[/tex]

Hence, our answer is A.

Answer:

r = c/2pi

Step-by-step

c= pi*d

d=2r

c = 2*r*pi

Answer:

r=8

Step-by-step explanation:

The answer is r8 for anyone looking. (e2020)

Answer:a)40,000 b) 7600cm2

Step-by-step explanation:

Answer:

Step-by-step explanation:

If he scored 71 and 65 and needs an average above 77, you took the average needed of 77 and times by 3 since you will have 3 test total. 3*77=231. Take the 231- what you already have which is 136, to get 95. He will need a score of at least 95 to average the 77. 71+65+95=231 231/3= 77

So, x≥95. X is the next test. It would need to be greater than or equal to 95.

Step-by-step explanation:

1 can of corn = c

1 can of green beans = b

Marissa-> 4c+8b=7

Bob-> 8c+7b=8.60

form a simultaneous equation:

4c+8b=7

8c+7b=8.60

find a common coefficient, e.g. make the number of cans of corn that Marissa has, equal to the number of cans of corn that Bob has, so you would multiply the top equation by 2, so both people have 8 cans of corn

8c+16b=14

8c+7b=8.60

now you can cancel out the cans of corn, and subtract the second equation from the first one, so you would get:

16b-7b=9b

14-8.60= 5.4

so, 9b=5.4, and b= 0.6

so 1 can of green beans would cost $0.60

Answer:

-4 meters

Step-by-step explanation:

-9 - 20 meters (went down)

= -29 meters

-29+25 meters (went up)

= -4 meters

Hope this helped!

Answer:

115

Step-by-step explanation:

Answer:

oh well

Step-by-step explanation:

Answer:

maybe

Step-by-step explanation:

l o l

XD

Answer:

A

Step-by-step explanation:

just took the test

Answer:

Step-by-step explanation:

Yo when you get these kind of questions you can use desmos calculator, for the future.

Answer:

..................

Step-by-step explanation:

x=13.........

Answer:

S=9

Step-by-step explanation:

Answer:

s=9

Step-by-step explanation:

3s-32=-5

3s-32+32=-5+32

3s=27

3s/3 = 27/3

s = 9

Answer:

2.5 or 5/2

Step-by-step explanation:

2x-3=2

2x=5 (both sides plus 3)

x=5/2 or 2.5(divid by 2 on both sides)

Answer:

x = 3.5, y = 2

Step-by-step explanation:

This is a system of equations.

Original equations:

[tex]4x+5y=24\\3x+7y=21[/tex]

Substitute y and solve for x:

→ [tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]

Substitute the value for y and simplify:

→ [tex]2x+\frac{7(24-4x)}{5} =21[/tex]

→ [tex]2x + \frac{(168 - 28x)}{5}=21[/tex]

Multiply by 5 on both sides

→ [tex]10x + 168-28x = 105[/tex]

Simplify → [tex]-18x = -63[/tex]

→ [tex]x = 3.5[/tex]

Plug in the value for x into either equation:

→ [tex]4*3.5 + 5y=24[/tex]

→ [tex]14+5y=24[/tex]

→ [tex]5y=10[/tex]

→ [tex]y=2[/tex]

Answer:

$162

Step-by-step explanation:

Step 1: Multiply 540 by .3 (convert 30% to a decimal)

540 x 0.3= 162

Answer:

C

Step-by-step explanation:

Third table  represents the second piece of the function f(x)

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given function is given by -3.5x+0.5, x<1 and 8-2x≥1

The second piece of the function f(x) is 8-2x ,x≥1

Now, we substitute some values of x and find the corresponding function values and check which table satisfy the points.

For x = 1

f(1)=8-2(1)=6

f(1)=6

For x = 2

f(2)=8-2(2)=4

f(2)=4

For x = 3

f(3)=8-2(3)=2

f(3)=2

Among the given tables, third tables contains these values.

Hence, Third table  represents the second piece of the function f(x)

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Answer:

The toads are in shock

Step-by-step explanation: