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2 years ago

7

-2/3(8+1/2) please tell me whats the answer

2 answers:

kirill [66]2 years ago

7 0

i think it is 2/6 hope its right

babymother [125]2 years ago

6 0

- $\frac{17}{3}$

note that 8 + $\frac{1}{2}$ = 8 $\frac{1}{2}$ = $\frac{17}{2}$

then multiplying the values gives

- $\frac{2}{3}$ × $\frac{17}{2}$ ( cancelling the 2' s )

= - $\frac{17}{3}$ = - 5 $\frac{2}{3}$

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Maddy has a bag of 36 marbles. The probability of picking green is 1 in 2, the probability of picking red is 1 in 3, and the pro

KonstantinChe [14]

Answer: 1 in 18

This is the same as writing the fraction 1/18

==============================================================

Explanation:

Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.

Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.

So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.

From that, the probability of choosing a black marble is 2/36 = 1/18.

There's a 1 in 18 chance of Maddy picking a black marble.

1/18 = 0.0556 = 5.56% approximately

7 0

2 years ago

Find e^cos(2+3i) as a complex number expressed in Cartesian form.

ozzi

Answer:

The complex number $e^{\cos(2+31)} = \exp(\cos(2+3i))$ has Cartesian form

$\exp\left(\cosh 3\cos 2\right)\cos(\sinh 3\sin 2)-i\exp\left(\cosh 3\cos 2\right)\sin(\sinh 3\sin 2)$ .

Step-by-step explanation:

First, we need to recall the definition of $\cos z$ when $z$ is a complex number:

$\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}$ .

Then,

$\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}$ . (I)

Now, recall the definition of the complex exponential:

$e^{z}=e^{x+iy} = e^x(\cos y +i\sin y)$ .

So,

$e^{2i-3} = e^{-3}(\cos 2+i\sin 2)$

$e^{-2i+3} = e^{3}(\cos 2-i\sin 2)$ (we use that $\sin(-y)=-\sin y)$ .

Thus,

$e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)$

Now we group conveniently in the above expression:

$e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2$ .

Now, substituting this equality in (I) we get

$\cos(2+3i) = \frac{e^{-3}+e^{3}}{2}\cos 2 -i\frac{e^{3}-e^{-3}}{2}\sin 2 = \cosh 3\cos 2-i\sinh 3\sin 2$ .

Thus,

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)$

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right]$ .

5 0

2 years ago

Evaluate-a-function f(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B7%7D" id="TexFormula1" title="\frac{x}{7}" alt="\f

OLga [1]

Step-by-step explanation:

Hey there!

f(x) = 7/x

<em>~ Simply keep the "7" in the place where "x" is there.</em>

$f(7) = \frac{7}{7}$

Therefore, X= 1.

<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

3 0

2 years ago

Read 2 more answers

Error Analysis: Mr. Hasson is buying a new bike for the summer time. The bike originally costs $150 but he sees it's on sale for

evablogger [386]

Answer:

$45

Step-by-step explanation:

30% ÷100 =0.3. 0.3×150= 45

4 0

2 years ago

A family is planning a three-week vacation for which they will drive across the country. They have a van that gets 12 miles per

svetoff [14.1K]

Answer:

The family will pay 34722 cents more if they take the van

Step-by-step explanation:

Given

Van = 12 miles per gallon

Sedan = 36 miles per gallon

Distance = 2500 miles

Gas = $2.50 per gallon

First, we need to determine the number of gallons that'll be used by both vehicles

This is done by dividing total distance by number of miles per gallon

$Van = \frac{2500}{12} \ gallon$

$Sedan = \frac{2500}{36}\ gallon$

Next, is to multiply this by the cost of gas per gallon;

This gives the total spendable amount on both vehicles

$Van = \frac{2500}{12} * \$2.50$

$Van = \frac{\$6250}{12}$

$Van = \$520.833$

$Sedan = \frac{2500}{36}* \$2.50$

$Sedan = \frac{\$6250}{36}$

$Sedan = \$173.611$

Next is to get the difference between these amounts

$Difference = \$520.833 - \$173.611$

$Difference = \$347.222$

Multiply by 100 to convert to cents

$Difference = 347.222 * 100 cents$

$Difference = 34722.2 \ cents$

$Difference = 34722\ cents$ (Approximated)

Hence;

<em>The family will pay 34722 cents more if they take the van</em>

8 0

2 years ago