Find the slope of the line containing the points (5, 3) and (-7, 2).

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Work Shown:

a = first term = 3

d = common difference = 6

S(n) = sum of the first n terms of an arithmetic sequence

S(n) = (n/2)*(2a + d(n-1))

S(34) = (34/2)*(2*3 + 6(34-1))

S(34) = 3468

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Check:

3+9+15+21+27+33+39+45+51+57+63+69+75+81+87+93+99+105+111+117+123+129+135+141+147+153+159+165+171+177+183+189+195+201 = 3468

I used GeoGebra to generate the 34 terms shown above. You could do so by hand (start at 3; add 6 to each term to get the next one), but it's a tedious busywork type of problem in my opinion. It's best left to computer software.

Answer:

C. 1059.50

Step-by-step explanation:

Sales price x sales tax rate = sales tax

16299.99 x .065 (6.5%) = 1059.50

The horizontal distance from the base of the skyscraper out to the ship is 349.8feet

The angle situated above the hill is known as  the angle of depression

Given the following parameters

Height of the harbor = 824 feet

Angle of depression = 67degrees

According to SOH CAH TOA identity:

tan 67 = opp/adj
tan 67 = 824/d

d = 824/tan67
d = 349.8 feet

Hence the horizontal distance from the base of the skyscraper out to the ship is 349.8feet

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Answer:

m = 4

k = 25.56

b = 20

The differential equation for damping motion is:

where,

Substitute the values in the differential equation and consider x" = r², x' =r and solve:

Therefore, solution is given by:

at t = 0, x = 1

at t = 0

x' =0

Step-by-step explanation:

Step-by-step explanation:

s=12km t=15m

15m--> km= 15/60= 0,25h

V=s/t

V=12km/0,25h

V= 48 km/h

Answer: 79

Step-by-step explanation:

i just did it on acellus and its right

the answer is 11/7.you can see the image

Answer:

[tex]\boxed {\boxed {\sf \frac{11}{7}}}[/tex]

Step-by-step explanation:

The slope describes the direction and steepness of a line. The formula is:

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points the line contains. For this problem, the line contains the points (2,7) and (-5, -4). Therefore:

Substitute these values into the formula.

[tex]m= \frac{ -4 -7}{-5-2}[/tex]

Solve the numerator (-4 -7 = -11).

[tex]m= \frac{ -11}{-5-2}[/tex]

Solve the denominator (-5-2 = -7).

[tex]m= \frac{ -11}{-7}[/tex]

Simplify the fraction. The 2 negative signs cancel each other out.

[tex]m= \frac{11}{7}[/tex]

The slope of the line is 11/7

Answer: 890 commuters carpool

Step-by-step explanation:

10% of 8900 = 890

8900/10= 890

Note: 10% to decimal form is 10

Answer:

10% of 8900

10/100×8900

=890

hope this is helpful

Answer:

Surface area = the sum of the area of all six sides:

(11 · 10) + (11 · 10) + (11 · 8) + (11 · 8) + (8 · 10) + (8 · 10)

= 110 + 110 + 88 + 88 + 80 + 80

= 220 + 176 + 160

= 556 ft²

Answer:

556 ft^2

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(lw+wh+lh) where h is the height l is the length and w is the width

SA = 2( 11*10+10*8+11*8)

      = 2(110+80+88)

      =2(278)

     =556 ft^2

Answer:

A

Step-by-step explanation:

using the theorem of Pythagoras

x = sqrt* 19.6 ^2 - 15.4^2*

x = 7× sqrt* 3*

x = 12.1 units

Answer:

A.) 12.1

Step-by-step explanation:

I got it correct on founders edtell

Answer:

Hello

Step-by-step explanation:

[tex]Formula: \\\\\boxed{\Large a^3\pm b^3=(a \pm b)(a^2 \mp ab+b^2)}\\\\8x^3+1=(2x)^3+1^3=(2x+1)(4x^2-2x+1)\\\\8x^3-1=(2x)^3-1^3=(2x-1)(4x^2+2x+1)\\[/tex]

The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The expression is given below.

8x³ + 1 and 8x³ - 1³

(2x)³ + 1³ and (2x)³ - 1³

We know that the formula is given as,

a³ + b³ = (a + b) (a² – ab + b²)

a³ – b³ = (a – b) (a² + ab + b²)

Then the expression is written as,

(2x)³ + 1³ = (2x + 1) [(2x)² – 2x + 1²]

(2x)³ + 1³ = (2x + 1) (4x² – 2x + 1)

(2x)³ – 1³ = (2x – 1) [(2x)² + 2x + 1²]

(2x)³ – 1³ = (2x – 1) (4x² + 2x + 1)

The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.

More about the polynomial link is given below.

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Answer:

82.8

Step-by-step explanation:

mean = sum of all points, over the total given number of points

84 * 26 = 2184

2184 + 69 + 66 = 2319

Now the total number of tests is 26 + 2 or 28

So divide 2319 by 28

2319/28 = 82.82142

rounded to the nearest tenth is 82.8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

it s just asking for negative d

Step-by-step explanation:

Answer:

D(-1) = 2

Step-by-step explanation:

replace x with D(x), which in this case is -1

D(x) = x²-2x-1

replace x with -1

D(x) = (-1)²-2(-1)-1

Now solve using PEMDAS

Answer:

The molecules of the substances must be touching

FOR EXAMPLE, a metal spoon placed in a hot coffee mug shows the flow of heat from coffee to the spoon. and now we can conclude that a condition that must exist in order for conduction to occur between two substances is that the objects must be touching each other.

Answer:

The molecules of the substances must be touching.

A

Step-by-step explanation:

Answer:

D( 1,9)

Step-by-step explanation:

First y must be greater than 7 which eliminates A and C

y must be greater than 2 times the x value

2*4 = 8 so B is eliminated

2*1 = 2  which is less than 9  Choice D is a solution

Answer:

One solution

BRAINLIEST, PLEASE!

Step-by-step explanation:

2y - x = 6

2y = x + 6

y = x/2 + 3

y = 2x + 7

After graphing, they have one solution at (-2.667, 1.667).

Answer:

8/52

Step-by-step explanation:

The first thing to do is write it out;

How many aces are in a deck and how many sixes?

There are 4 of each so, 4+4 = 8 therefore our beginning ratio will be;

8/52 cards are going to be an ace or a six.

Answer:

Step-by-step explanation:

I don't know what other answer there could be but 60 cm. The circles have to have the same radius and the same circumference. They were made from a 60 cm string so their total must be 60 cm.

Is there a trick I don't see? Hope not?

Answer:

659604 students

Step-by-step explanation:

86047-31080=54967 more students per game

54967 students per game x 12 games = 659,604 students

Answer:

Shen has $15, Brian has $45, and Melissa has $25

Step-by-step explanation:

Let x represent how much money Shen has.

Since Brian has 3 times what Shen has, his amount can be represented by 3x.

Since Shen has $10 less than Melissa, Melissa's amount can be represented by x + 10.

Create an equation to represent the situation, and solve for x:

x + 3x + x + 10 = 85

5x + 10 = 85

5x = 75

x = 15

So, Shen has $15 in their wallet.

Find how much Brian has by multiplying this by 3:

15(3) = $45

Find how much Melissa has by adding 10 to this:

15 + 10 = $25

Shen has $15, Brian has $45, and Melissa has $25.

[tex]\\ \sf\longmapsto 122^2[/tex]

[tex]\\ \sf\longmapsto (100+22)^2[/tex]

[tex]\\ \sf\longmapsto 100^2+2(100)(22)+22^2[/tex]

[tex]\\ \sf\longmapsto 10000+4400+484[/tex]

[tex]\\ \sf\longmapsto 14400+484[/tex]

[tex]\\ \sf\longmapsto 14884[/tex]

112²

(a + b)² = (a² + 2ab + b²)

⇛122²

⇛(100 + 22)²

⇛(100)² + 2 × 100 × 22 + (22)²

⇛10000 + 4400 + 484

⇛14400 + 484

⇛14884

Answer:

k = p+2q/3

Step-by-step explanation:

k=7 and q=9

7 = p+(2*9)/3

7 = p+18/3

7 = p+6

7-6 = p

1 = p

Hope it helps!

Answer:

$837.50

Step-by-step explanation:

(1000×16.75×5)/100

83750/100=

$837.50

Answer:

Step-by-step explanation:

Answer:

540 is the ans

Step-by-step explanation:

this is the correct answer

180

Step-by-step explanation:

the measure of interior angles of polygon =180×(n-2)

Answer:

33%

Step-by-step explanation:

Increase is equal to (1064-800)

=264

So the percent = (264/800)×100

=33%

The factory's output went up by around 33% from last month to this month, reflecting a significant growth in television set production.

To calculate the percentage increase in production, we use the concept of percentage change.

The formula for percentage change is = [(new value - old value) / old value] × 100,

In this case, the old value is 800 (last month's production) and the new value is 1064 (this month's production).

The percentage increase in production can be calculated as follows:

[(1064 - 800) / 800] × 100 = (264 / 800) × 100 ≈ 33%.

Therefore, the production increased by approximately 33%.

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Answer: 50

Step-by-step explanation:

f(x) = 6x-4 and g(x) = x^2

f(g(3)) means what is the value of the function f when it is evaluated at the value of g(3).

So g(x) is x^2 so g(3) is 3^2 = 9

Therefore we put 9 in for f(g(3))= f(9) = 6(9) - 4 = 54 - 4 = 50

Answer:

remainder = [tex]\frac{1}{x-2}[/tex]

Step-by-step explanation:

The remainder is the value of the subtraction of the last 2 lines in the procedure.

  5x - 9

- (5x - 10)

That is

5x - 5x = 0 and - 9 - (- 10) = - 9 + 10 = 1

over the divisor x- 2 , gives

remainder = [tex]\frac{1}{x-2}[/tex]

Answer:

[tex]here \: the \: two \: sides \: are \: equal \: so \: \\ the \: triangle \: is \: issosceles \\ then \: x = 40 \\ thank \: you[/tex]