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3 years ago

Write an equation that can be used to find the nth term of the sequence, an.

Mathematics

1 answer:

Ulleksa [173]3 years ago

5 0

Answer:

+12 +1

Step-by-step explanation:

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What is the volume of a hemisphere with a radius of 4.9 ft, rounded to the nearest

Alexxx [7]

Answer:

Step-by-step explanation:

To round 4.9 to nearest tenth means to round the numbers so you only have one digit in the fractional part. 4.9 already has only one digit in the fractional part. Thus, 4.9 is already rounded as much as possible to the nearest tenth and the answer is: 4.9

3 0

3 years ago

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Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

GuDViN [60]

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

Given system of equations:

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

Step 1: Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

Step 2: Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

Step 3: Solve for y.

Substitute the found x-values into one of the given equations.

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

Learn more about system of equations here:

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2 years ago

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184500 $ are to be divided between 2 people. One person has 80% of what the other person has. How much does each one receive in

Annette [7]

Given:

$184500 are to be divided between 2 people.

One person has 80% of what the other person has.

To find:

The amount each one receive in $.

Solution:

Let $x be the amount received by first person. Then,

Amount received by the second person = 80% of x

= 0.80x

Total amount = Amount received by first person + by second person

= $x+0.80x$

= $1.80x$

Total amount is 184500. So,

$1.80x=184500$

$x=\dfrac{184500}{1.80}$

$x=102500$

So, the amount received by the first person is $102,500.

$0.80x=0.80\times 102500$

$0.80x=82000$

So, the amount received by the second person is $82,000.

6 0

3 years ago

2/3 / (-9/4) 2/3 divided by (-9/4)

Bezzdna [24]

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$\frac{2}{3} \div ( - \frac{9}{4} ) = \\$

$\frac{2}{3} \times( - \frac{4}{9}) = \\$

$- \frac{2 \times 4}{3 \times 9} = - \frac{8}{27} = - ({ \frac{2}{3} })^{3} \\$

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2 years ago

The instructions for building a kite tell you to begin by cutting a strip of wood to 45 cm in length, but your ruler only measur

Phantasy [73]

If one inch = 2.54 centimeters, then 45 centimeters divided by 2.54 centimeters will give you the amount of inches the piece of wood needs to be.

45/2.54 = 17.72 ---- Rounded to the nearest quarter, would be 17.75 inches.

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3 years ago

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