write down the first five terms of the following sequences. a) start at 26 and subract 3. b)start at -3 and add 10.

write the above equation in the form of y = g(x).

⇒ y = (0.5)x + 3 – 4

Now, we convert the equation into y = mx + c form.

⇒ y = (0.5)x - 1

Here, we see that m = slope = 0.5, and c = y-intercept = -1.


Hence, the graph of g(x) = (0.5)x + 3 – 4 is a straight line with slope = 1/2 and y-intercept = -1.

Answer:

-2 7/6, -1 3/4, -1 1/2, 1/8

Step-by-step explanation:

The "greater" the number is when it's negative, the less value it actually holds. Therefore, -1 3/4 is less than -1 1/2!

Answer:

|-2| + 2

Step-by-step explanation:

-4 / 2-5i

cos (x) / 1 - sin squared (x)

|-2| + 2

Answer:

Step-by-step explanation:

[tex]\sf -5x^5*y^5 *(-6xy^3) = (-5)*(-6) *x^{5+1}*y^{(5+3)}\\[/tex]

                               [tex]\sf = 30x^6y^8[/tex]

Answer:

100 - 16 = 84, and 84 divided by 12 is 7. She needs to buy 7 more boxes of granola bars for her students.

Step-by-step explanation:

Answer:

She need 7

Step-by-step explanation:

12x7=84

Then add 16 to 84 to get 100

Answer:

Increasing, because it's going from a negative number to a positive number

Step-by-step explanation:

The coterminal  angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

290 degree

To find the coterminal angle, add and subtract 360 degree in the angle 290 degree.

Coterminal angle = 290 + 360 = 650 degree

                               = 290 - 360 = -70 degree

Reference angle = 360 - 290 = 70 degree

Thus, the coterminal  angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.

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The impulse delivered to the baseball is 140kgm/s.

Option B) 140 kg • meters per second is the correct answer.

An impulse is simply a concept that involves the change in the momentum of an object when force is introduced for a period of time.

It is expressed as;

ΔP or Change in Momentum = F × t

Where F is force applied and t is the elapsed time.

Given that;

We substitute our given values into the expression above to determine the impulse.

ΔP = F × t

ΔP = 18500kgm/s² × 0.0075s

ΔP = 18500kgm/s² × 0.0075s

ΔP = 138.75kgm/s = 140kgm/s

Therefore, the impulse delivered to the baseball is 140kgm/s.

Option B) 140 kg • meters per second is the correct answer.

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Answer:

(B)

Step-by-step explanation:

I took the test

the answer of the question is :

200 games because the square root of 2 is 4

Answer:

13.33 miles

Step-by-step explanation:

let the miles per gallon = X

from the question,

200miles--------------15gallons

X miles-------------------1 gallon

cross multiplying

X×15 = 200×1

dividing bothsides by 15

X= 200/15

X= 13.33 miles.

Answer:

[tex]csc54[/tex]°

Step-by-step explanation:

[tex]sec36[/tex]° = [tex]\frac{1}{cos36}[/tex]

and; [tex]\frac{1}{cos36} = \frac{1}{sin 90 -54}[/tex]  ... (co-functions)

and [tex]\frac{1}{sin90-54} = csc54[/tex]  .... (csc in the reciprocal of sin)

Answer:

82 nails

Step-by-step explanation:

4.97 and 5.03   are both one standard deviation from the mean...

z scores    . 8413    and  .1587

.8413 - .1587 = .6826    or    68.26 %  of the nails are in this range

68.26 %  *  120 = ~82 nails

Answer:

b = 17

Step-by-step explanation:

The correct equation is 3b - 6 = 45. You get this by saying the books (b) are 3 dollars each (3b) and you are getting a discount of 6 dollars off (- 6). The total after the discount is 45 dollars. You know have to solve this equation for b (the number of books) to get the answer. When you solve this equation, you get b = 17.

Answer:

3b - 6 = 45 and b = 17

Step-by-step explanation:

3b - 6 = 45 is your equation you get

3b is how many books you bought and the price multiplied by one another, then subtracting 6 gives you the discounted price which is 45

3b - 6 = 45

+6          +6

3b = 51

/3     /3

b = 17

a book costs 17 dollars.

so b = 17  

Answer:

Angles of the triangles are 55° , 50° , 75°

Step-by-step explanation:

       The exterior angle of a triangle equals the sum of opposite interior angles.

 Ratio of interior opposite angle = 2 : 3

Interior opposite angles are 2x , 3x

2x + 3x = 125

        5x = 125

          x = 125/5

          [tex]\boxed{x = 25}[/tex]

2x = 2*25 = 50°

3x = 3*25 = 75°

Let the third angle of the triangle = y

Sum of all angles of triangle = 180

       50 + 75 + y = 180

               125 + y = 180

                        y = 180 - 125

                       y = 55°

Angles of the triangles are 55° , 50° , 75°

Answer:

Use Law of Cosines

Step-by-step explanation:

1079²= 590² + 494²- (2)(590)(494) cos θ.

Answer:

42 cm²

Explanation:

cut into 2 rectangles

area of rectangle: Length * Width

Answer:

Step-by-step explanation:

 Linear pair: When the uncommon arms of two adjacent angles form a straight line, the adjacent angles are called linear pair and they add upto 180

3)  ∠3 + ∠2 = 180

     65 + ∠2 = 180

             ∠2 = 180 - 65

When parallel lines   are intersected by  transversal, alternate exterior angles are congruent.

a // b and d is transversal.

  ∠5 = ∠11

 ∠5 = 100°

When  parallel lines are intersected by transversal, the alternate interior angles are congruent.

a // b and c is transversal

m∠13 = ∠3

  ∠13 = 65°

4)    ∠3 &  ∠14 are co-interior angles. Co-interior angles are supplementary.

∠3 +  ∠14 = 180

65 +  ∠14  = 180

           ∠14 = 180 - 65

           ∠14 = 115°  

∠5 +  ∠8 = 180    {Linear pair}

 100 +  ∠8 = 180

             ∠8 = 180 - 100

             ∠8= 80

∠9 =  ∠11 {vertically opposite angles are congruent}

∠9 = 100

∠ 3 + ∠14 + ∠ 8 + ∠9 = 65 + 115 + 80 + 100

                                   = 360°

The equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

The formula to find equation of line is,

(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)

Here, x and y are the coordinate and subscript (1,2) used for the first and second point.

The points from which the line passes through are (2,5) and (-2,-3). Put the values,

(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)

(y-(-2))={(-3-5)/(-2-2)}(x-2)

y+2={-8/-4}(x-2)

y+2=2(x-2)

y+2=2x-4

y=2x-4-2

y=2x-6

Thus, the equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

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Before Logan accepts any of the job offers in the several cities that he got, he must consider the cost of living in each location.

When moving to a new city, certain considerations are of utmost importance to the individual irrespective of the kind of job he/she does.

Before Logan accepts any of the job offers in the several cities that he got, he must consider the cost of living in each location.

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Answer:

I believe the answer is A. Cost of living in each location

Step-by-step explanation:

Answer:

a = 12

Step-by-step explanation:

Pythagoras’ Theorem

a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

From inspection of the triangle:

Substituting these values into the formula and solving for b:

⇒ a² + 9² = 15²

⇒ a² + 81 = 225

Subtract 81 from both sides:

⇒ a² + 81 - 81 = 225 - 81

⇒ a² = 144

Square root both sides:

⇒ √(a²) = √(144)

⇒ a = 12

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the value of a using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a {}^{2} = {15}^{2} - {9}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a= \sqrt{225-81} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a= \sqrt{144} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a= 12\: units[/tex]

Answer:

x = 39°

Step-by-step explanation:

for right angle triangle ABD

BD^2 = 36 + 64 = 100

BD = 10

use sine law

sin (29) / BD = sin (x)/ DC

sin (29)/ 10 = sin x/ 13

sin x = 13 sin (29)/ 10

First solve for BD:

Then use sine rule:

insert values

exchange sides

simplify

change side

rounded to nearest hundredth

Step-by-step explanation:

2/3

7/10

11/15

4/5

(if you struggle with identifying when one fraction is bigger or smaller than another, just convert it to decimals in a calculator)

Hope this helps

Answer:

263.76 m^3

Step-by-step explanation:

Using 3.14 as pi

pi * radius^2 * height / 3

3.14 * 6^2 * 7 / 3

3.14 * 36 * 7 /3

3.14 * 252 /3

3.14 * 84

263.76

Answer:

50.24

Step-by-step explanation:

8 is the radius of the circle, so using A=πr^2, the equation would be A=(3.14*8^2)/4

(Dividing by 4 because we are solving for 1/4 of a circle, and substituting pi for 3.14)

(3.14*8^2)=200.96

200.96/4=50.24

Answer:

i don't think you can create a triangle

Step-by-step explanation:

you need it to be a<b+c

Answer:

See below for answers and explanations

Step-by-step explanation:

4! = 4*3*2*1 = 24

0! = 1

2! + 3! = 2*1 + 3*2*1 = 2 + 6 = 8

3! * 4! = 3*2*1 * 4*3*2*1 = 6 * 24 = 144

10! / 7! = 10*9*8*7*6*5*4*3*2*1 / 7*6*5*4*3*2*1 = 10*9*8 / 1 = 720

The graphed inequality can be written as:

y < -(4/3)*x + 5

At first, we can notice two things, the shaded region is below the line, and the line is a dashed line, so we know that the inequality will be:

y < linear equation.

The linear equation is something like:

y = a*x + b

By looking at the graph, we can see that the line passes through (0, 5) and (3, 1).

So the y-intercept is 5.

And the slope is:

a = (1 - 5)/(3 - 0) = -4/3

So the linear equation is:

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

And the inequality is:

y < -(4/3)*x + 5

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The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.

For the Jumping Jackrabbits and the Leaping Lizards, the mean and the MAD are given as follows:

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.

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Answer:

there no data

Step-by-step explanation:

Find the median of the first and third quartiles81, 69 ,90, 79, 59, 125, 95, 116, 183, 97, 92, 50, 122, 55, 9250, 55, 59, 69, 79, 81, 90,   92,     92, 95, 97, 116, 122, 125, 183.The first quartile: 50, 55, 59, 69, 79, 81, 90: median of the first quartile is 69The third quartile: 92, 95, 97, 116, 122, 125, 183: median of the third quartile is 116.The interquartile range is the difference between the median of both the first and third quartile:  which is 116 - 69 = 47.There are no outliers in this set of data