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monitta
3 years ago
9

Witch expression is equivalent to 5(6xt 3y)

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer: multiple choice?

Step-by-step explanation:

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Sam's Fruit Cellar earns a $0.40 profit for each apple that it sells and a $0.40 profit for each banana that it sells. Which exp
Radda [10]

Answer: 0.40a + 0.40b

Step-by-step explanation:

Total Profit

= P(a,b) = ($0.40a) + ($0.40b),

where a = no. of apples sold and b = no. of bananas sold.

6 0
4 years ago
If u=0, make t the subject of the following equation: s=ut+1/2at^2 Please look at image.
Sladkaya [172]

Answer:

t=\sqrt{\dfrac{2s}{a}}

Step-by-step explanation:

The given equation is :

s=ut+\dfrac{1}{2}at^2

Where

s is displacement

u is the initial velocity

a is acceleration

t is time

If u = 0, the above equation become,

s=\dfrac{1}{2}at^2\\\\t^2=\dfrac{2s}{a}\\\\t=\sqrt{\dfrac{2s}{a}}

Hence, the value of t is equal to \sqrt{\dfrac{2s}{a}}.

4 0
3 years ago
What is the interquartile range?
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Z

7 0
4 years ago
What is the surface area for this triangular prism?
Annette [7]

Answer:

405.58

Step-by-step explanation:

hope this helps!

3 0
3 years ago
Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8
Dima020 [189]

Let f(x,y,z)=x+y+z-8e^{xyz}. The tangent plane to the surface at (0, 0, 8) is

\nabla f(0,0,8)\cdot(x,y,z-8)=0

The gradient is

\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)

so the tangent plane's equation is

(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by t, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

(1,1,1)t+(0,0,8)=(t,t,t+8)

or x(t)=t, y(t)=t, and z(t)=t+8.

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0
3 years ago
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