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3 years ago

Evaluate-2+7x^2-2x^3-8x+7x^4 at x=5

Mathematics

1 answer:

Murljashka [212]3 years ago

4 0

Answer:

4262

Step-by-step explanation:

2 + 7x^2- 2x^3-8x +7x^4 at x = 5

= 2 + 7*(5)^2 - 2*(5)^3-8*5 +7*(5)^4

=2+175-250-40+4375

=4552-290

=4262

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The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards ea

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Answer:

(a) (C) No. The probability of drawing a specific second card depends on the identity of the first card.

(b) $\dfrac{4}{663}$

(d) $\dfrac{8}{663}$

Step-by-step explanation:

(a)The outcomes on the two cards are not independent because since the cards are drawn without replacement, the probability of drawing a specific second card depends on the identity of the first card.

(b)P(ace on 1st card and jack on 2nd).

Number of Ace = 4

Number of Jack = 4

P(ace on 1st card and jack on 2nd)

$=\dfrac{4}{52} \times \dfrac{4}{51}\\=\dfrac{4}{663}$

Number of Ace = 4

Number of Jack = 4

$=\dfrac{4}{52} \times \dfrac{4}{51}\\=\dfrac{4}{663}$

(d) Probability of drawing an ace and a jack in either order.

=P(Ace and Jack) Or P(Jack and Ace)

=P(Ace and Jack) + P(Jack and Ace)

$=\dfrac{4}{52} \times \dfrac{4}{51}+\dfrac{4}{52} \times \dfrac{4}{51}\\=\dfrac{4}{663}+\dfrac{4}{663}\\=\dfrac{8}{663}$

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3 years ago

In 2009, Simon took a cruise on a cruise ship that had a length of 361.6 meters. On his trip, he learned that this cruise ship w

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The oil tanker is 96.86 meters longer than the cruise ship. and both of them put together is 820.6 meters long

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3 years ago

Joseph has started completing the square on the equation 3x^2-7x+12=0. He has worked to the point where he has the expression x^

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Starting with 3x^2-7x+12=0, we divide all four terms by 3, resulting in the following factored form:

3(x^2-[7/3]x+4)=0.

Since 3 cannot equal 0, we can focus on the following:

x^2 - 7/4 x =-4

This completes the assignment (describe Joe's steps up to this point).

If you wish to go further:

Next, take HALF of the coefficient of x and square your result:

(-7/[4][2])^2 = 49/64

Add this to both sides of x^2 - 7/4 x =-4: x^2 - 7/4x + 49/64 =-4+49/64

Rewrite the left side as (x-7/8)^2 and the right side as 49/64 - 256/64

Simplify the right side by combining these terms: -207/64

Then x-7/8 = plus or minus (1/8)sqrt(-207)

Next, x = 7/8 plus or minus (1/8)*i*√207, or

7 plus or minus i*√207
x = ----------------------------------
8

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3 years ago

Given that tan 0=-4/7 , and 270 degrees <0<360 degrees , what is the exact value of sec0?

Elanso [62]

I take it you meant θ angle, anyway.

we know the tan(θ) = -4/7... alrite, we also know that 270° < θ < 360°, which is another to say that θ is in the IV quadrant, where the adjacent side or "x" value is positive whilst the opposite side or "y" value is negative.

$\bf tan(\theta )=\cfrac{\stackrel{opposite}{-4}}{\stackrel{adjacent}{7}}\impliedby \textit{now let's find the \underline{hypotenuse}}
\\\\\\
\textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{7^2+(-4)^2}\implies \implies c=\sqrt{65}\\\\
-------------------------------\\\\
sec(\theta )=\cfrac{\stackrel{hypotenuse}{\sqrt{65}}}{\stackrel{adjacent}{7}}$

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3 years ago

The equation d=4 -1/15t represents your distance from home,d, for each minute you walk,t. If you graphed this equation, determin

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we have

$d=4 -\frac{1}{15}t$

using a graph tool

see the attached figure

For t=0 d=4 -------> the y-intercept

that means that at the time t=0 the house was four units away.

For t=60 min d=0 -------> x-intercept

that means he was already at home at the time t=60 minutes.

therefore

the graph of this equation represents the walk towards the house

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