What is the common difference if the arithmetic sequence below? -5,-1,3,7…..

Answer:

See below

Step-by-step explanation:

sin ( 60 + 45) = sin60 cos 45  + cos45 sin60

                      = sqrt3 / 2 * sqrt2/2   + sqrt2/2 * 1/ 2

                        sqrt6/4    + sqrt 2/ 4

                          (sqrt6 + sqrt 2) / 4

Correct answer is B. Very Unlikely

Hope this helps :P

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Answer:

Step-by-step explanation:

The domain are all the x values

(-7,-3), (-4,1), (1,-4), (6,3)

x here is from -7 to 6

domain ∈ [-7, 6]

The range are all the y values

(1,-4), (-7,-3), (-4,1), (6,3)

y here is from -4 to 3

range ∈ [-4, 3]

Answer:

60

Step-by-step explanation:

10 x sqrt64 - 5 x 4

10 x 8 - 5 x 4

80 - 20

60

Answer:

H - 5 hours

Step-by-step explanation:

We can setup an equation to solve the question.

Let [tex]h[/tex] be the number of hours Mary must work.

[tex]250 = 160 + 3(6h)[/tex]

250 - the amount of money Mary needs

160 - the amount of money Mary has saved already

3 - How many days she works

6h - How much she gets paid per day

[tex]250 = 160 + 3(6h)\\90 = 3(6h)\\90=18h\\5=h[/tex]

This means Mary must work 5 hours each day to pay her rent.

Answer:

Kite

Step-by-step explanation:

Kite. A kite has one line of symmetry

C+

if you get a C+ in term three and four then I don't think you will pass if you get a C+ in term three but get your grade up to B+ A- or A+ i term four you will and if you get in the B range for term 3 at least and keep it up in term four you will pass you just have to study and pay attention in class i believe in you. you can do it

Using the table of values, the probability of selecting a girl that likes Michigan is 0.11

The table is given as:

           Ohio State   Michigan    NC State   Total

Boys        56                14                20           90

Girls         50               22               38            110

Total       106              36                58          200

In the above table, 22 girls out of the total sample size of 200 like Michigan.

This means that the required probability is:

P = 22/200

Evaluate the quotient

P = 0.11

Hence, the probability of selecting a girl that likes Michigan is 0.11

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Answer:

24 Cups

Step-by-step explanation:

you just need to divide 6 by 1/4, whihc equals 24/1

1. a. No, g(x) is not a function because f(x) is not invertible. This is because it's not a monotonic function, which we gather from the table. On the interval [-2, 3], f(x) decreases from 7 to -2, but on the following interval [3, 4], f(x) increases to 3 and becomes positive once more. At best, f(x) is locally invertible.

1. b. This is impossible to determine... We can't know g(4) without knowing for which x we have f(x) = 4, but that's not included in the table.

1. c. The slope of the tangent line to f(x) at x = -2 is f'(-2) = -4.5. Then the equation of the tangent to f(x) at x = -2 - which means it passes through the point (-2, f(-2)) = (-2, 7) - is

y - 7 = -4.5 (x - (-2))   ⇒   y = -4.5x + 16

2. Given f(x) = arctan(3x) - ln(1 + 9x²), compute the derivative:

f'(x) = 3/(1 + (3x)²) - 18x/(1 + 9x²)

f'(x) = (3 - 18x)/(1 + 9x²)

Find the critical points of f(x), where f'(x) = 0 or doesn't exist. Only the first case can happen since the denominator is never zero. So

3 - 18x = 0   ⇒   x = 1/6

is the only critical point.

Also compute the second derivative, then check its sign at the critical point:

f''(x) = (-18 - 54x + 162x²) / (1 + 9x²)²

f''(1/6) = -72/5 < 0

The negative sign indicates that x = 1/6 is the site of a local maximum of

f(1/6) = arctan(1/2) - ln(5/4) ≈ 0.241

Also check the values of f(x) at the endpoints of the interval [0, 1]:

f(0) = 0

f(1) = arctan(3) - ln(10) ≈ -1.054

So, the maximum value of f(x) on [0, 1] is f(1/6) ≈ 0.241.

Answer:

10

Step-by-step explanation:

it is 10 I jus did it 120 =12 x x =12 10

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

a

Step-by-step explanation:

domain is based on x values in the front

range is based on y values in the back

Answer: 371/30

Step-by-step explanation:  

Answer:

hr

Step-by-step explanation:

Answer:

D: humor.

Step-by-step explanation:

it's just common sense. I am not a gen z so I should know.

Answer:

1.25

Step-by-step explanation:

1/2 of 2.5 is 1.25

Think of it as the following

250 divided by 2 is 125 because 125+125=250

Answer:

5

Step-by-step explanation:

2.5 divided by 0.5 would = 5

Answer:

The measure of its complementary angle is 3.

Step-by-step explanation:

Answer:

26°

Step-by-step explanation:

x + 64° = 90° ( being complementary angles)

x = (90 - 64)°

x = 26°

Answer:

x = 26°

Step-by-step explanation:

x + 64° = 90° [right angle]

x = 90° - 64°

x = 26°

Hey! there

Answer:

Step-by-step explanation:

In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .

And we are asked to evaluate the expression .

SOLUTION : -

Expression :

[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]

We are substituting value of n as 7 :

[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]

Solving parenthesis that is subtracting 5 from 7 :

[tex] \quad \longmapsto \qquad \:5(2)[/tex]

Now we are multiplying 5 with 2 and We get :

[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]

Step-by-step explanation:

Answer:

10 is the answer

Step-by-step explanation:

In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .

And we are asked to evaluate the expression .

SOLUTION : -

Expression :

[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]

We are substituting value of n as 7 :

[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]

Solving parenthesis that is subtracting 5 from 7 :

[tex] \quad \longmapsto \qquad \:5(2)[/tex]

Now we are multiplying 5 with 2 and We get :

[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]

Henceforth , value of expression when n is equal to 7 is 10

Answer

24*9= the answer

Step-by-step explanation:

Answer:

D. (17,-1)

Step-by-step explanation:

We'll start by canceling out x. To do so, multiple the first equation by -1

-1( x - 2y)=( 19 )(-1)

This gives us:

-x +2y = -19

x + 3y = 14

Add the equations together:

→ 5y = -15

→ y = -1

Plug in y = -1 into an equation:

→ x + 3(-1) = 14

→ x - 3 = 14

→ x = 17

(17,-1)

Hope this helps!

Answer:

11% of people preferred outside and non-fiction

Step-by-step explanation:

Table attached,
10/90 = 0.11

0.11 = 11% 

The percent of students in the survey that prefer outdoor activities given they prefer non-fiction is 11%.

The first step is to determine the total number of people that like fiction: 24 + 30 = 54

Now, determine the total number of people that like non-fiction: 90 - 54 = 36

The third step is to determine the total number of people that like indoor activities and non-fiction: 50 - 24 = 26

The fourth step is to determine the total number of people that like outdoor activities given they prefer non-fiction: 36 - 26 = 10

Percentage of people that prefer outdoor activities given they prefer non-fiction = (10 / 90) x 100 = 11%

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Answer:

C. y = 3x -2

Step-by-step explanation:

y = mx + b

start with b, the y-intercept, which is -2.

Next find m, the slope. From -2 on the y-axis you are going to find the slope by doing rise/run. You will rise 3 units and run 1 unit to get to the next point on the line.

The equation is y = 3x -2

Inequalities help us to compare two unequal expressions. The options that are correct about the given statement are B, C, and D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The points that are correct about the given inequality 2(8/9)≥x are:

Hence, the options that are correct about the given statement are B, C, and D.

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Answer:

It would be d

Step-by-step explanation:

Its d because its in a staright line

Answer:

D.

Step-by-step explanation: the rest are either non-linear , have no correlation, have a curvilinear relationship, or have no association.