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3 years ago

Graph the line that has a slope of −13 and contains the point (3,−7)

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

From the origin you have to go 3 right put a dot and seven down put a dot, 13 down and one right ? Not sure

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Find the directional derivative of f(x, y, z) = xy + yz + zx at p(1, −1, 7) in the direction from p to q(2, 4, 5). duf(1, −1, 7)

oksian1 [2.3K]

$f(x,y,z)=xy+yz+zx$

$\implies\nabla f(x,y,z)=(y+z,x+z,y+x)$

$\vec{pq}=\mathbf q-\mathbf p=(2-1,4-(-1),5-7)=(1,5,-2)$

$\|\vec{pq}\|=\sqrt{30}$

$D_{\vec{pq}}f(1,-1,7)=\nabla f(1,-1,7)\cdot\dfrac{(1,5,-2)}{\sqrt{30}}=\dfrac{(6,8,0)\cdot(1,5,-2)}{\sqrt{30}}=\dfrac{46}{\sqrt{30}}$

7 0

3 years ago

Given the following sets, find the set (AUB)’ n C.

Lunna [17]

Step-by-step explanation:

(AUB)={1,2,3,4,6 }

(AUB)nC={1,2,3,4 }

7 0

3 years ago

The rate at which a professional tennis player used carbohydrates during a strenuous workout was found to be 1.7 grams per minut

Alex787 [66]

Answer:

m=1.7

C=68 gr

Step-by-step explanation:

Function Modeling

We are given a relationship between the carbohydrates used by a professional tennis player during a strenuous workout and the time in minutes as 1.7 grams per minute. Being C the carbohydrates in grams and t the time in minutes, the model is

$C=1.7t$

The slope m of the line is the coefficient of the independent variable, thus m=1.7

The graph of C vs t is shown in the image below.

To find how many carbohydrates the athlete would use in t=40 min, we plug in the value into the equation

$C=1.7\cdot 40=68\ gr$

8 0

3 years ago

Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.

Rainbow [258]

You could use 10, 6 and 7.

Using ten would have them all equal 50, using 6 would have them all equal 30 and using 7 would have them all equal 35.

Hope this helps!

5 0

3 years ago

Read 2 more answers

A medium-sized has 70 calories. this is 10 calories less than 1/4 of the calories in an Old Westie Chocolate Bar. We need to fin

OLEGan [10]

Answer:

320 calories

Step-by-step explanation:

1/4 would be 80 calories because 70 is ten less so it would be 80 = 1/4 so 80 times 4 would be 320 calories

5 0

4 years ago