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LUCKY_DIMON [66]

3 years ago

15

Henry bought 4 pies which he plans

1 answer:

Whitepunk [10]3 years ago

5 0

Plans on what ???????

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A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time

galben [10]

Answer:

The height at time of 12.1 seconds is approximately 729.2562 feet

Step-by-step explanation:

The general form of the quadratic regression equation is y = A + Bx + Cx²

The quadratic regression formula is given as follows;

$B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}$

$C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}$

$A = \bar y - B \bar x - C \bar {x^2}$

$S_{xx} = \Sigma (x_i - \bar x)^2$

$S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)$

$S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})$

$S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2$

$S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})$

Solving using an online quadratic regression calculator, gives;

A = 2.5643259

B = 246.6374865

C = -15.41986006

Substituting gives;

y = 2.5643259 + 246.6374865·x -15.41986006·x²

When time, x = 12.1, we have;

y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet

The height at time of 12.1 seconds ≈ 729.2562 feet.

8 0

3 years ago

To buy a car, Danny borrowed $16000 for 3 years at an annual simple interest rate of 9%. if it takes him 3 full years to pay off

Marat540 [252]

Answer:

$4,320

Step-by-step explanation:

I equals PRT. I is the interest. P is the principal, amount borrowed. R is the rate, percent. T is the amount of time in years. Principal in this is 16,000. Rate is 9%, or 0.09. Time is 3 years. So 16,000 times 0.09 times 3 equals 4,320. That is the interest.

4 0

3 years ago

Read 2 more answers

Given the definitions of f(x) and g(x) below, find the value of (gof)(1).

Marrrta [24]

Answer:

$(g*f)(x) = 34$

Step-by-step explanation:

For sake of clarity, $(g * f)(x) = g(f(x))$

First, find $f(1)$

$f(1) = 2(1)^2 - 2(1) - 4\\f(1) = 2-2-4 \\f(1)=-4$

Then, take what you got for $f(1)$ and plug that into $g(x)$ . In this case, $f(1) = -4$

$g(-4) = -5(-4) + 14\\g(-4)= 20 + 14\\g(-4) = 34$

Please make sure to mark brainliest if this satisfies your

4 0

3 years ago

An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

jeyben [28]

We can write an Arithmetic Sequence as a rule:

$y_n=221-4(n-1)$

We have to find $y_ {82}$ . So we have to insert 82 as $n$ in the formula above:

$y_{82}=221-4(82-1) = 221-4\cdot 81=221-324 = -103$

5 0

3 years ago

Read 2 more answers

An= 2an-1 +5 what is the value of a5<br><br> a1 = 1

Marianna [84]

Answer:

$a_5=91$

Step-by-step explanation:

The general term formula is:

$a_n=2a_{n-1}+5$

And given first term is "1",

The general term formula means, to get a term, multiply the previous term by 2 and sum it with "5".

Lets find a_2:

$a_2=2a_{1}+5\\a_2=2(1)+5\\a_2=7$

Now, finding a_3:

$a_3=2a_2+5\\a_3=2(7)+5\\a_3=19$

Now, a_4:

$a_4=2a_3+5\\a_4=2(19)+5\\a_4=43$

Finally, finding a_5:

$a_5=2a_4+5\\a_5=2(43)+5\\a_5=91$

This is the answer.

5 0

3 years ago