Which expression is equivalent to (10 + 7 r - r ^ 2) + (-6 r ^ 2 - 18 + 5 r)

Mathematics

1 answer:

garik1379 [7]2 years ago

7 0

Answer:

-7r^2+12r-8

Step-by-step explanation:

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An ice cream shop sells large cones for $2.50 and small cones for $1.50. Jack has enough money to buy 21 large cones. How many s

Strike441 [17]

Answer:

35 cones

Step-by-step explanation:

21 x $2.50

=52.5

52.5/$1.50

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2 years ago

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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

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

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2 years ago

What is equivalent to<br> -9(x - 4 ) - 6x

Lapatulllka [165]

The answer would be -15x+36. To solve this equation, you would first use distributive property and distribute the -9 to the values inside the parentheses (or multiply them). So, you would multiply -9 and x and -9 and -4 to get -9x+36-6x. Then, you combine like terms, which are -9x and -6x to get -15x. You can't simplify any further without knowing the value of x. Hope this helps!

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2 years ago

betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14

natta225 [31]

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

$r = 3$ -- radius