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3 years ago

Predict the next three numbers in the pattern.

Mathematics

1 answer:

bekas [8.4K]3 years ago

4 0

The pattern is dividing by 2 every time so the next 3 numbers will be 1/8, 1/16, 1/32

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2) At a local grocery store, three bags of peanuts and four bags of almonds cost $27 45.

Scilla [17]

Answer:

$7.60

Step-by-step explanation:

Use a linear function (again)

let x = peanuts

let y = almonds

3x+4y=27.45

5x+2y=24.05

Multiple 2nd equation by 2

3x+4y=27.45

10x+4y= 48.1

7x=20.65

x=2.95

Plug in x into either equation

10x+4y= 48.1

29.5+4y=48.1

4y=18.6

y=4.65

4.65+2.95=7.60

5 0

3 years ago

What is this (2⋅3) ^2 −5^2 = I don't know what the dot means I think it means multiplication I got 11 am I right

Lana71 [14]

Answer:

Step-by-step explanation:

Step 1: Parenthesis

6² - 5²

Step 2: Exponents

36 - 25

Step 3: Subtract

The dot is multiplication.

8 0

3 years ago

Read 2 more answers

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t

Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

$h(t)=-4.9t^2+121t+283$

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

$h(t)=0\implies-4.9t^2+121t+283=0$

Using the quadratic formula, the solution for our problem is

$\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}$

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have