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Rashid [163]
3 years ago
8

What is the equation of the line in the gaph?

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0
The answer is

y = (-x) - 1
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What is 834% expressed as a fraction?
svetoff [14.1K]

Answer:

8.34/1

Step-by-step explanation:

5 0
2 years ago
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Please help I give you 30 points
valentinak56 [21]

Answer:

The last one,  14 3/4

Step-by-step explanation:

I hope this helped :)

4 0
2 years ago
You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that t
icang [17]

Answer:

The probability that the first card is a Heart and the second card is a Spade is 0.064.

Step-by-step explanation:

A standard deck of 52 cards is shuffled and two cards are drawn without replacement.

The denominations of the cards are as follows:

Spades (S) = 13

Hearts (H) = 13

Diamonds (D) = 13

Clubs (C) = 13

Compute the probability of selecting a Heart first as follows:

P(H)=\frac{13}{52}=0.25

Compute the probability of selecting a Spade second as follows:

P(S)=\frac{13}{51}=0.255

Since the two cards are selected without replacement the second draw is independent of the other.

Then the probability that the first card is a Heart and the second card is a Spade is:

P(1st\  H\cap 2nd\ S)=P(H)\times P(S)

                            =0.25\times 0.255\\=0.06375\\\approx 0.064

Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.

4 0
3 years ago
The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to t
yanalaym [24]

Answer:

A

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of <em>y</em> = eˣ, <em>y</em> = 0, <em>x </em>= 0, and <em>x</em> = 1. Each cross-section perpendicular to the <em>x</em>-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each <em>x</em> value. So, we integrate from <em>x </em> = 0 to <em>x </em>= 1.

The area for an equilateral triangle is given by:

\displaystyle A=\frac{\sqrt{3}}{4}s^2

Where <em>s</em> is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at <em>x</em> is simply <em>y</em>, which is eˣ.

Therefore, our volume is:

\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx

Substitute:

\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx

Evaluate the integral. Simplify:

\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx

Integrate using u-substitution:

\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)

Evaluate:

\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)

Therefore, the volume of the solid is:

\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)

Our answer is A.

3 0
2 years ago
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Which best describes the behavior of the function f(x)=23x−2?
ankoles [38]

Answer:

Shifted down  2  units

Vertical stretch

Step-by-step explanation:

Hope this helps :)

6 0
3 years ago
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