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3 years ago

After the expression (x^16)3/4is simplified as much as possible, x is raised to what exponent? a0

Mathematics

1 answer:

zhuklara [117]3 years ago

4 0

Answer:

Step-by-step explanation:

Given expression is:

$(x^16)^\frac{3}{4}$

By the rues of exponents, when there is exponent on exponent then the exponents are multiplied.

So,

$= x^{16*\frac{3}{4}}\\ = x^{4*3}\\=x^{12}$

The exponent of x will be 12 after the simplification ..

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Given the line of the best fit for a set of data points with equation y=-5x-2.5 what is the residual for the point (3,6)

HACTEHA [7]

Answer:

The residual of the point $(3,6)$ in the equation $y=-5(x)-2.5$ is $= 23.5$

Step-by-step explanation:

We have been given point $(3,6)$ where $x=3$ .

Now the equation is $y=-5(x)-2.5$ .

Plugging the value of $x=3$ in the equation of $y=-5(x)-2.5$ ,

we have to find the predicted value of y and $y=-5(3)-2.5 =-15-2.5=-17.5$ .

So y predicted $=-17.5$ .

To find the residual point we have to subtract the actual value from the predicted value.

As actual value of $y=6$ along with the points $(3,6)$ .

Residual point = Actual value - Predicted value.

$=6 -(-17.5) =23.5$

So the residual for the point $(3,6)$ is $23.5$ .

7 0

3 years ago

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

Find all zeros of function and write the polynomial as a product of linear factorsX^3-x^2+9x-9

mart [117]

Answer:

$\large\boxed{x=1\ \vee\ x=-3i\ \vee\ x=3i}$

Step-by-step explanation:

$\text{The zeros:}\\\\x^3-x^2+9x-9=0\\\\x^2(x-1)+9(x-1)=0\\\\(x-1)(x^2+9)=0\iff x-1=0\ \vee\ x^2+9=0\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}\\\\x^2+9=0\qquad\text{subtract 9 from both sides}\\x^2=-9$

8 0

4 years ago

01:13:

Bess [88]

Answer:

Step-by-step explanation:

6 0

3 years ago

Solve the literal equation a+4b=5b-3a solve for a

ahrayia [7]

A= 0.25 or 1/4
Hope this helps:)

4 0

3 years ago