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Ray Of Light [21]
3 years ago
7

Harry buys 22 fish he has a round fish bowl and a rectangular fish tank how could he place the fish in the bowl and tank. Equati

on=
Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:

11 and 11 in each of each fish tank or put more fish in the rectangular fish tank


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Compute the directional derivative of the function g(x,y)= sin(π(x−5y)).
e-lub [12.9K]

Answer:

Step-by-step explanation:

The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function

g(x,y) = sin(π(x−5y)

∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))

(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]

(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]

∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j

∇g = π [cos (π(x−5y))] [î - 5j]

So, the question requires a direction vector and a point to fully evaluate this directional derivative now.

8 0
3 years ago
If the function f(x) = -1/2x - 7 were graphed, which of the following would be true?
Fittoniya [83]
ANSWER

D. As the x-values increase, the y-values would decrease

EXPLANATION

The given function is
y =  -  \frac{1}{2} x - 7


The slope of this function is
m =  -  \frac{1}{2}

Since the slope is negative, there is a negative or an inverse relationship between x and y.

As the values of x increases, the values of y decreases.

Also, as the values of x decreases, the values of y increases.

The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.

For instance, when
x =  - 40
y =  -  \frac{1}{2} ( - 40) - 7


This implies that,

y = 20 - 7 = 13

Options B is obviously not true because the function has a negative relationship between x and y.


Option C is also false because, x can be positive since it is the independent variable.

See graph



Therefore, the correct answer is option D.




5 0
3 years ago
What is the approximate value of x in the diagram below? (Hint: You will need
Delicious77 [7]

Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as \frac{opposite}{hypotenuse}. So let's plug in known values:

sin(43) = \frac{27}{x}

Multiply both sides by x

sin(43) * x = 27

divide both sides by sin(43)

x=\frac{27}{sin(43)}

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

x=\frac{27}{0.682}

simplify the fraction

x\approx39.59

8 0
2 years ago
Can someone please help me with this question
zlopas [31]

Answer:

15 kilometers

Step-by-step explanation:

So we know:

For 4 days she runs 1500 meters each day.

For 3 days she runs 3 kilometers each day.

First off, lets convert 1500 meters into kilometers.

There are 1000 meters in a kilometer, so pluggin in 1500 meters:

1500/1000 = 1.5

So for 4 days she runs 1.5 kilometers each day.

Now, to find the total kilometers, we must find multiply the 1.5 kilometers by the 4 days, the 3 kilometers by the 3 days, then add those two together.

So lets do this:

1.5*4 = 6

So she ran 6 kilometers in the first 4 days.

Next we have:

3*3 = 9

So she ran 9 kilometers in the last 3 days.

Now finally add them together:

6 + 9 = 15

So she ran a total of 15 kilometers.

Hope this helps!

7 0
3 years ago
Which of the following are solutions to the equation below 4x^2+20x+25=49
KATRIN_1 [288]
( 2x +5)^2 =4

2x+5=2

2x=-3

X=-3/2
4 0
3 years ago
Read 2 more answers
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