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3 years ago

Which number logically follows this series 4 6 9 6 14 6?

1 answer:

3 0

I would say 19.
If you take out the 6s and just look at the rest you have 4, 9, 14.
It is adding 5 each time and just have a 6 between each one.
So logically I would say 19.

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Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.

Lina20 [59]

Answer:

Step-by-step explanation:

Given:

$f(x) = 4x^2 - 3$

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

$f(3) = 4(3)^2 - 3$

$f(3) = 4(9) - 3$

$f(3) = 36 - 3$

$f(3) = 33$

To find f(9), replace x with 9 in the given function

$f(9) = 4(9)^2 - 3$

$f(9) = 4(81) - 3$

$f(9) = 324 - 3$

$f(9) = 321$

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 3, f(a) = 33$

$b = 9, f(b) = 321$

Plug in the values into the formula for average rate of change.

$= \frac{321 - 33}{9 - 3}$

$= \frac{288}{6}$

$= 44$

Average rate of change = 44

3 0

2 years ago

lighting if a 25-foot-tall house cast a 75-foot shadow at the same time that a streetlight casts a 60-foot shadow how tall is th

jolli1 [7]

Answer:

The street light is 20 feet tall.

Step-by-step explanation:

This question depends on a proportion. Keep your height of the object in one ratio and the length of the shadow in the other.

25/x = 75/60 Notice the height of the structure is on the left. The length of the shadow is on the right. Cross multiply

75x = 60 * 25 Combine the right

75x = 1500 Divide by 75

x = 1500/75

x = 20

The street light is 20 feet tall.

3 0

2 years ago

Find the pattern. fill in the blanks. 251,351

Rus_ich [418]

Answer:

451, 551, 651, 751, 851, 951, 1051, 1151,

Step-by-step explanation:

you're adding 1 each time you progress through the pattern. Btw pls rate me BRAINLYIEST im in 8th grade.

6 0

2 years ago

Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and recei

Elza [17]

Answer: 27.00

Step-by-step explanation:

$50 - $23 = $27

3 0

2 years ago

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What is the value of sin(60°+0) - sin(60°+0)?

neonofarm [45]

Answer:

Step-by-step explanation:

Let us take sin(60 degree + theta) =x

Substituting x in equation

=> x-x

=> 0

3 0

3 years ago

Read 2 more answers