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3 years ago

In this synthetic division problem shown below what number belongs in the place of the question mark

Mathematics

1 answer:

mixas84 [53]3 years ago

5 0

I believe a synthetic division problem goes in this blank

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Trina had 50 eggs. After using some of her eggs to make 12 batches of brownies, she has 14 eggs remaining. How many eggs did Tri

Alexeev081 [22]

Step-by-step explanation:

eggs used : 50-12= 38 eggs

$\frac{38 \: eggs}{12 \: batches} = 3.1667eggs \: per \: batch$

8 0

3 years ago

Convert 4875m to metres

Digiron [165]

4875m is miles so 7845552 meters

8 0

3 years ago

If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and

Scilla [17]

Take the cross product, then normalize the result.

$\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k$

This has norm

$\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2$

and so a unit vector orthogonal to both given vectors is

$\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k$

An equally correct answer would be the negative of this vector, since $\mathbf b\times\mathbf a=-\mathbf a\times\mathbf b$ .

5 0

3 years ago

Given an equation x3 - 8x2 - 9x + 72 = 0, find the zeros.

sveta [45]

Answer:

= 28/3

Step-by-step explanation:

Let's solve your equation step-by-step.

x(3)−(8)(2)−9x+72=0

Step 1: Simplify both sides of the equation.

x(3)−(8)(2)−9x+72=0

3x+−16+−9x+72=0

(3x+−9x)+(−16+72)=0(Combine Like Terms)

−6x+56=0

Step 2: Subtract 56 from both sides.

−6x+56−56=0−56

−6x=−56

Step 3: Divide both sides by -6.

−6x

−6

−56

−6

Answer:

7 0

3 years ago

Which number is the exponent in 10 by the power of 5

almond37 [142]

The exponent in the equation is the 5.

5 0

3 years ago