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abruzzese [7]
3 years ago
14

Pls help! will give brainlist!

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Answer:

A. 60°

Step-by-step explanation:

There's a very straight-forward explanation for this, thank god! XD

For this type of problem, there's a rule to follow for the outside angle. X and 120 should equal 180, so all you need to do is fill that gap.

180-120 = 60

60 is your answer because it completes the whole angle.

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For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant
nirvana33 [79]

Answer:

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of y with respect to x over the interval by definition of secant line:

r = \frac{y(b) -y(a)}{b-a} (1)

Where:

a, b - Lower and upper bounds of the interval.

y(a), y(b) - Function exaluated at lower and upper bounds of the interval.

If we know that y = 3\cdot x^{2}, a = 3 and b = 6, then the average rate of change of y with respect to x over the interval is:

r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}

r = 27

The average rate of change of y with respect to x over the interval [3,6] is 27.

b) The instantaneous rate of change can be determined by the following definition:

y' =  \lim_{h \to 0}\frac{y(x+h)-y(x)}{h} (2)

Where:

h - Change rate.

y(x), y(x+h) - Function evaluated at x and x+h.

If we know that x = 3 and y = 3\cdot x^{2}, then the instantaneous rate of change of y with respect to x is:

y' =  \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}

y' =  3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}

y' = 3\cdot  \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}

y' = 6\cdot  \lim_{h \to 0} x +3\cdot  \lim_{h \to 0} h

y' = 6\cdot x

y' = 6\cdot (3)

y' = 18

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

5 0
2 years ago
Xavier made 25 pounds of roasted almonds for a fair he has 3 and 1/2 pounds left at the end of the fair how many pounds of roast
Pepsi [2]

Answer:

Step-by-step explanation:

25-x=3 (1/2)

you just subtract 25 by 3 (1/2), and you get 21 (1/2).

Xavier sold 21 (1/2) pounds of roasted almonds

4 0
3 years ago
Ginger buys lunch at school every day. She always gets pizza when it is
anyanavicka [17]

Answer:

2/10 20%

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The surface area of the prism is _____ square units.
jasenka [17]
Here is the equation to find that answer A=bh+2ls+ib i got it off line if its not right im sory
7 0
3 years ago
What is the area of the figure below? <br> Haaaaalp please
Thepotemich [5.8K]
A_1=6\cdot5=30\ [in^2]\\\\A_2= \frac{1}{2} \cdot[15+(7+5)]\cdot4=2\cdot(15+12)=2\cdot27=54\ [in^2]\\\\A=A_1+A_2=30+54=84\ [in^2]

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3 years ago
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