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3 years ago

Write the explicit rule for the nth term. Then find a71. {O, -8, -16, -24 ...}

Mathematics

1 answer:

yulyashka [42]3 years ago

3 0

Answer:

Step-by-step explanation:

{0, -8, -16, -24,...} here you add -8 each time so the rule is

$a_{1} = 0, a_{n} = a_{n-1} -8$

the 71 term is

$a_{71} = 0 + (71 - 1) * (-8) = 70 * (-8) = -560$

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If after 45 minutes han cycled for 6 miles and claire cycled for 9 miles what will the difference between them be after 45 minut

IceJOKER [234]

Answer:

The difference between them will be 6.

Step-by-step explanation:

When they went for their first round of cycling, which was 45 minutes, it was already a distance of 3 miles adding another 6 to Han's miles and another 9 to Claire's miles it would give you 18 and 12 and 18 minus 12 is 6.

Therefore, it was doubled from the distance only being 3 miles to 6 miles.

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2 years ago

What is the percent of change from 75 to 14 rounded to nearest percent??

zhuklara [117]

- 81 %

Step-by-step explanation:

To find the percentage change;

([Current – Initial] / Initial) * 100

([14 - 75] / 75) * 100

(-61 / 75) * 100

(-0.81333) * 100

= - 81.3333 %

To the nearest percentage;

= - 81 %

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2 years ago

Factor Completely:x^2-6x-27

iren [92.7K]

Answer:

\left(x+3\right)\left(x-9\right)

Step-by-step explanation:

6 0

2 years ago

Match the amounts and tip or tax rates in the first column to the total costs in the second column.

gogolik [260]

Answer:

1. $132.24

2. $55.89

3. $1336.66

4. $258.19

5. $57.86

Step-by-step explanation:

Simply use this equation.

$\frac{InitialValue}{100} = \frac{x}{TaxPercentage}$

Substitute in our values, using No.1 as our example.

$\frac{123.01}{100} = \frac{x}{7.5}$

Cross multiply

922.575 = x100

Solve for x by dividing by 100.

x = 9.22575

Now add x to the initial value.

9.22575 + 123.01 = 132.23575

Round to the nearest hundredth for the answer.

$132.24

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2 years ago

The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 80 feet per sec

SVEN [57.7K]

Answer:

f(2) = f(3) = 102 ft

Step-by-step explanation:

The height f at t = 2 seconds is given by:

$f(t) = -16t^2 + 80t + 6\\f(2) = -16*2^2 + 80*2 + 6\\f(2)=-64+160+6\\f(2)=102\ ft$

The height f at t = 3 seconds is given by:

$f(t) = -16t^2 + 80t + 6\\f(3) = -16*3^2 + 80*3 + 6\\f(3)=-144+240+6\\f(3)=102\ ft$

For both t =2 and t =3, the expression results in a height of 102 ft, therefore f(2) = f(3) = 102 ft.

4 0

3 years ago