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3 years ago

A restaurant sells a refillable coffee mug for $7.75. Each refill costs $3.25. Last month Keith

1 answer:

8 0

82.75 minus the cost of the mug
Which equals 75 dollars and 75 divided by the cost of the refills which is 3.25 equals 24 refills

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If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are:

Minimum ( $\cos \theta = 0$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0$

Maximum ( $\cos \theta = 1$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1$

With the help of a graphing tool we get the family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

7 0

2 years ago

At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?

Ad libitum [116K]

D. If 11.60 of them 5, then in your proportions they would need to be on the same side (both numerators or both denominators) and D is the only answer where this is true.

5 0

3 years ago

Laurie filled a container 2/3 full with water. She put 42 2/3 ounces of water in it. What is the capacity of Laurie's container?

Mademuasel [1]

Answer:

64 ounces

Step-by-step explanation:

2/3=42 2/3

1/3=21 1/3

21 1/3*3=64

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3 years ago

What time will it be

Ne4ueva [31]

The time will be 5:16 pm

7 0

3 years ago

34*9 what is it !!!!!!!!!!!!

stira [4]

The answer is 306.

There you go.

5 0

3 years ago

Read 2 more answers