what the 51st term of -17, -25, -33

Answer:

The answer is given in the picture

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The formula for interior angle of any polygon is (n-2) x 180 / n where n is the number of sides.

An octagon has 8 sides:

Part A.
interior angle = (8-2) x 180 /8

Interior angle = 135 degrees

Part B.
3x -57 = 135

Add 57 to both sides:

3x = 192

Divide both sides by 3:

X = 64

Answer:

[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

given a₁ = 11 and a₄ = 88 , then

11 r³ = 88 ( divide both sides by 8 )

r³ = 8 ( take cube root of both sides )

r = [tex]\sqrt[3]{8}[/tex] = 2 , then the nth term is

[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]

So, before solving further, let's recall that, a deck of card have 52 cards, with 26 black cards, and 26 red cards, out of which, let's first consider red cards,so 13 of 26 are heart, and the other 13 out of 26 is diamond, now let's consider the black cards, so 13 of 26 black cards are spades and the other 13 out of 26 black cards are clubs, every type have an ace card, and 9 cards numbering from 2-10 and three face cards naming, queen, king and Jack. And the probability of any event is defined as the ratio of no. of favourable outcomes to Total no. of possible outcomes, so let's stary solving all the parts one by one :

7) [tex]{:\implies \quad \sf P(Red\:\:card)=\dfrac{26}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(Red\:\:card)=\dfrac12}}}[/tex]

8) [tex]{:\implies \quad \sf P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}}}[/tex]

9) [tex]{:\implies \quad \sf P(Ace)=\dfrac{4}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(Ace)=\dfrac{1}{13}}}}[/tex]

10) [tex]{:\implies \quad \sf P(A\:\:black\:\:10)=\dfrac{2}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(A\:\:black\:\:10)=\dfrac{1}{26}}}}[/tex]

11) [tex]{:\implies \quad \sf P(A\:\:heart)=\dfrac{13}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(A\:\:heart)=\dfrac14}}}[/tex]

12) [tex]{:\implies \quad \sf P(Not\:\:a\:\:club)=\dfrac{39}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(Not\:\:a\:\:club)=\dfrac34}}}[/tex]

Answer:

c. 4,250.00

Step-by-step explanation:

The initial deposit amount is $4,250.00.

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that,

The worth of an investment is $6774.50

The time period is 22 years.

The rate of interest is 2.7%.

Now, Based on the above information, the calculation is as follows:

We know that;

SI = P x r x t

SI = P x 2.7% x 22

SI = 0.594P

Now,

Investment worth = P  + SI

= P + 0.594P

= 1.594P  

So, we get;

1.594P  = 6774.50

P  = $4,250  

Therefore, we can conclude that the initial deposit amount is,

⇒ $4,250.00

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Volume of cylinder,=πr²h

(22÷7)×5²×3

3.14×25×3

235.5

Answer :

235.5 units³

Answer:

x < 16

Step-by-step explanation:

∣x−7∣ < 9

x < 9 + 7

x < 16

Answer:

7x < 9

Step-by-step explanation:

because the absolute value of -7 is 7 and 7 + x = 7x.

Answer:

336 feet

Step-by-step explanation:

We can multiply to solve this :)

56 x 6 = 336

Have an amazing day!!

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2: 13.333 or 2: 13

multiply the 8 by 5/3 to combine the terms

Answer:

9/13

Step-by-step explanation:

Total = 9 + 4

= 13

Probability: 9/13

The expression that can be used to find the perimeter of the rectangle is 62 centimeters 2(5x−2)+2(3x+1).

The perimeter of the rectangle is equal to the 2 times sum of the length and width of the rectangle.

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper.

The expression that can be used to find the perimeter of the rectangle is given by;

[tex]\rm Perimeter \ of \ rectangle = 2 (length +width)\\\\\rm Perimeter \ of \ rectangle = 2 (5x-2+3x+1)\\\\ \rm Perimeter \ of \ rectangle = 2 (7x-1)\\\\ \rm Perimeter \ of \ rectangle = 16x-2\\\\When , x\ =\ 4\\\\ \rm Perimeter \ of \ rectangle = 14x-2\ = 16(4)-2\ =\ 64-2\ =\ 62\\[/tex]

Hence, the expression that can be used to find the perimeter of the rectangle is 62 centimeters 2(5x−2)+2(3x+1).

To know more about the perimeter of the rectangle click the link given below.

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The coordinate point of a point is the location (i.e. the x and y location) on the coordinate plane

From the complete question (see attachment), the coordinate of point A is:

A = (-4,1)

This means that the x-coordinate of point A is -4

In (a), we have the coordinate of point A to be

A = (-4,1)

This means that the y-coordinate of point A is 1

From the complete question, the coordinate of point B is:

B = (3,-2)

This means that the x-coordinate of point B is 3

In (c), we have the coordinate of point B to be

B = (3,-2)

This means that the y-coordinate of point B is -2

From the complete question, the x-coordinate of point C is the same as the x-coordinate of point A

Given that the x-coordinate of point A is -4

This means that the x-coordinate of point C is -4

From the complete question, the y-coordinate of point C is the same as the y-coordinate of point B

Given that the y-coordinate of point B is -2

This means that the y-coordinate of point C is -2

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Answer:

D

Step-by-step explanation:

[tex]-24 + 12d= 2(d-3)+22\\\\\implies -24 +12d = 2d-6 +22\\\\\implies 12d-2d-24+6-22 = 0\\\\\implies 10d -40=0 \\\\\implies d = \dfrac{40}{10} = 4\\\\[/tex]

Answer:

Step-by-step explanation:

In order to solve this equation, you must isolate it on one side of the equation.

Use the distributive property.

Distributive property:

⇒ -24+12d=2(d-3)+22

Multiply.

⇒ 2(d-3)+22

⇒ 2d-2*3

⇒ 2*3=6

⇒ 2d-6

Rewrite the problem down.

⇒ 2d-6+22

⇒ -6+22=16

⇒ 2d+16

⇒ -24+12d=2d+16

Then, you add by 24 from both sides.

⇒ -24+12d+24=2d+16+24

Solve.

⇒ 12d=2d+40

Subtract by 2d from both sides.

⇒ 12d-2d=2d+40-2d

Solve.

⇒ 12d-2d=10d

⇒ 10d=40

Divide by 10 from both sides.

⇒ 10d/10=40/10

Solve.

Divide the numbers from left to right.

⇒ 40/10=4

[tex]\Longrightarrow:\boxed{\sf{d=4}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

- 43

Step-by-step explanation:

f ( x ) = - 2x² + 2x - 3

To find : f ( 5 )

f ( 5 ) = f ( x )

Here,

x = 5

f ( 5 ) = - 2x² + 2x - 3

        = - 2 ( 5 )² + 2 ( 5 ) - 3

        = - 2 ( 25 ) + 10 - 3

        = - 50 + 7

f ( 5 ) = - 43

Answer:

-43

Step-by-step explanation:

oon edge

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Answer:

Lateral surface area=perimeter×Height

Total surface area=Perimeter (p)×Height(h)+2×Area of cross section

Answer:

Question 16: 44 inches

Question 18: 10, 24, 26

Step-by-step explanation:

Question 16:

Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side.

125^2 = 117^2 + b^2

15,625 = 13,689 + b^2

15,625 - 13689 = b^2

1936 = b^2

√1936 = b

44 = b

Question 18:

Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side. You have to try all the possibilities. The ones that match are the lengths.

The answers are 10, 24, 26

c^2 = a^2 + b^2

26^2 = 10^2 + 24^2

676 = 100 + 576

676 = 676

Answer:

$1.95 for 5kg

Step-by-step explanation:

0.96 x2 is 1.92 and not even 5kg so if you get 5kg worth of the 0.96$ per kg then it will be more expensive.

So $1.95 for 5kg is the better deal.

Answer:

Not sure wha the options are, but is it "When a figure is translated, its orientation changes and the measure of its angles stays the same"

there isnt the word bank because you did not take a photo with the dropdown menu

Answer:

The answer is (A.)

Step-by-step explanation:

Answer: A on edge 22

Step-by-step explanation:

Answer: the lenght is 30 feet

Step-by-step explanation:

if this is hight times lenght then yea it should be 30 feet

[tex]\\ \rm\Rrightarrow (-3\dfrac{1}{3})^2[/tex]

[tex]\\ \rm\Rrightarrow (\dfrac{-10}{3})^2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{(-10)^2}{3^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{100}{9}[/tex]

[tex]\\ \rm\Rrightarrow 11\dfrac{1}{9}[/tex]

Answer:

100/9 (or) 11 1/9

Step-by-step explanation:

Q) (-3 1/3)² = ?

→ (-3 1/3)²

→ (-10/3)²

→ 100/9

→ [ 11 1/9 ]

Hence, the solution is 11 1/9.

The expressions are equivalent.

[tex] \sqrt{ \frac{2x}{9} } = \frac{ \sqrt{2x} }{ \sqrt{9} } = \frac{ \sqrt{2x} }{3} = \frac{1}{3} \sqrt{2x} \\ [/tex]

Answer:

D

Step-by-step explanation:

for 20 pounds of grass seed, we need 356 pounds of fertilizer

20 pounds of grass seed : 356 pounds of fertilizer

divide both sides by 20 to get 1 pound of grass seed on one side, as we want to figure out the corresponding amount of fertilizer for 1 pound of grass seed

20 pounds of grass seed/20 : 356 pounds of fertilizer/20

1 pound of grass seed: 17.8 pounds of fertilizer

Answer:

B

Step-by-step explanation:

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The ellipse with the equation stated above is:
Position I (Option C )

An ellipse is a circle that has been extended in one direction such that it is no longer a circle but an oval.

Solution

In order to determine the position of the ellipse with the above equation, we can start by simplifying the equation.

Hence, 9x² + 16y = 144 becomes

x²/16 + y²/9 =  1 (We arrive at this by dividing both sides of the equation by 144);

The x-axis is the major axis because the biggest denominator is under the x² term.

Thus the coordinates of the vertices are as follows:

(± a, 0); (0, ± b)

Hence:

a² = 16 → a = 4

b² = 4 → b = 2

Hence the coordinates are:

(± 4, 0); (0, ± 2)

Given the above, the eccentricity is given as:

e = √(1 - (3/4)^2 = (√7)/4 = 0.6614378

Hence the ellipse is: 0.66

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Answer:

Around 295m

Step-by-step explanation:

Answer:

295.44 m to the neaest hundredth

Step-by-step explanation:

A line drawn from the kite  perpendicular to the ground forms 2 right triangles. Let this  line be x m.

Also let y be the distance from Allison to the bottom of the line.

Consider 'Alison' triangle

cos 70 = y/150

y = 51.303 m

sin 70 = x/150

x = 150 sin 70 = 140.954 m

Consider 'Marcs' triangle

tan 30 = x / (AM - y)

tan 30 = 140.954 / (AM - 51.303)

AM - 51.303 =  140.954/tan 30

AM =  140.954/tan 30 + 51.303

AM = 295.442  m

Answer:

256 fluid ounces

Step-by-step explanation:

2 gallons = 8 quarts

8 quarts = 18 pints

18 pints = 32 cups

32 cups = 256 fluid ounces

1 gallon = 4 quarts x 2 that's 2 gallons = 8 quarts

1 quarts = 2 pints x 8 that's 8 quarts = 16 pints

1 pints = 2 cups x 16 that's 16 pints = 32 cups

1 cup = 8 fluid ounces x 32 that's 32 cups = 256 fluid ounces

Interest be I

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