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Find a unit vector in the direction of the given vector, w = 6i - 3j​

Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.

Given the equation:

x² - 4x - 10 = 0.

Applying the bisection method, we would have the following:

x² - 4x + (2²) - (2²) - 10 = 0

(x - 2)² - 14 = 0

Add 14 to both sides

(x - 2)² = 14

Take the square root of both sides

x - 2 = ±√14

x = 2 ± √14

x = 2 - √14 = -1.74

or x = 2 + √14 = 5.74

Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

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Answer:

54÷9= 6

so its $6 a foot of copper

Answer:

You first take the annual interest rate on your loan and divide it by 365 to determine the amount of interest that accrues on a daily basis. Say you owe $10,000 on a loan with 5% annual interest. You'd divide that rate by 365 (0.05 ÷ 365) to arrive at a daily interest rate of 0.000137.

Step-by-step explanation:

[tex] \frac{1}{6} = \frac{x}{174} [/tex]

x = 174/6

= 29 pound person weight on the moon.

The probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.)

Let A is the event of selecting taffy in first attempt. Thus, the probability of it is,

[tex]P(A)=\dfrac{4}{14}[/tex]

Now 13 candies remain, in which 3 taffy candies are present. Let B is the event of selecting taffy in again. Thus, the probability of it is,

[tex]P(B)=\dfrac{3}{13}[/tex]

The probability of happening both event is,

[tex]P(A\cap B)=\dfrac{4}{14}\times\dfrac{3}{13}\\P(A\cap B)=\dfrac{12}{182}[/tex]

The probability that the two candies selected by Laura from the box are taffy is,

[tex]P(B| A)=\dfrac{\dfrac{12}{182}}{\dfrac{4}{14}}\\P(B| A)=0.230[/tex]

Thus, the probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

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#SPJ1

[tex]hourly-pay = \frac{total-money-paid}{number-of-hours} =\frac{90}{4.5} =20[/tex]

Thus you made $20 per hour

Hope that helps!

Answer:

k = 8

Step-by-step explanation:

We know that 8(10-k) = 2k so:

8(10−k)=2k

Simplify both sides of the equation:

8(10−k)=2k

(8)(10)+(8)(−k)=2k

80+−8k=2k

−8k+80=2k

Subtract 2k from both sides:

−8k+80−2k=2k−2k

−10k+80=0

Subtract 80 from both sides:

−10k+80−80=0−80

−10k=−80

Divide both sides by -10:

[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]

k = 8

Answer:

Answer:x=−6.274917217635375,1.2749172176353745

Step-by-step explanation:

(3(2))2=(x+2)2+x12=x2+5x+4

Step 1: Subtract x^2+5x+4 from both sides.12−(x2+5x+4)=x2+5x+4−(x2+5x+4)−x2−5x+8=0

For this equation: a=-1, b=-5, c=7.999999999999998−1x2+−5x+8=0Step 2: Use quadratic formula with a=-1, b=-5, c=7.999999999999998.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(−1)(8)2(−1)x=5±57−2x=−6.274917217635375,1.2749172176353745

Answer:

A. Similar triangles

Step-by-step explanation:

Triangle ABC

35° + 90° + x = 180°

125° + x = 180°

x = 180° - 125°

x = 55°

They are similar due to the occurrence in angles

Answer:

A) 5/12

B) 5/12

C) 0/12

D) 11/12

-------------

Q4.

A) 3/15

B) 4/15

C) 12/15

D) 8/15

-----------------

Q5.

A) 2/6 or 1/3

B) 4/6 or 2/3

C)

D)

Step-by-step explanation:

Answer:

14 flats

5 plants

Step-by-step explanation:

First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14

The 14 times 6 would get you 84

Then subtract 84 from 89 and you get 5 plants left over ^^

Answer:  [tex]2^8 = 256[/tex]

Explanation:

The rule to use is

[tex]a^b \div a^c = a^{b-c}[/tex]

We subtract the exponents.

So in this case,

[tex]2^3 \div 2^{-5} = 2^{3-(-5)} = \boldsymbol{2^8} = \boldsymbol{256}[/tex]

Answer:

Step-by-step explanation:

Sorry if I got you the wrong answer but I think it's, OB

If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years. Hope this helps ! Have a good day! :)

Answer:

Slope-intercept Form: y = 3/4*x -2

Step-by-step explanation:

From looking at the graph we can get out slopes which is rise/run and y-intercept.

m = 3/4 and b = -2

Slope-intercept Form: y = 3/4*x -2

If the teacher wants to show work you would have to use a point-slope form using those two points to solve m. Then using a point and slope plug that into the point-slope form and make it into slope-intercept form.

Step-by-step explanation:

here you want to isolate the y.

so what you do in the beginning is divide both sides by x-2.

then, you'll have y-3 = 0

so y = 3

this is a horizontal graph that crosses the y axis and y = 3.

Answer:

y=-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The mean is 56.6, the median is 53, modes are 41, 43, and 63, the range is 56, and the IQR is 20.

Step-by-step explanation:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 849 / 15

= 56.6

Answer:

Yes

J

Step-by-step explanation:

The solution set for the equation |4x - 9| + 3 = 8 are its true values

The solution set is x = 3.5 or x = 1

The equation is given as:

|4x - 9| + 3 = 8

Subtract 3 from both sides

|4x - 9| = 5

Remove the absolute bracket

4x - 9 = 5 or 4x - 9 = -5

Add 9 to both sides

4x = 14 or 4x = 4

Divide both sides by 4

x = 3.5 or x = 1

Hence, the solution set is x = 3.5 or x = 1

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Answer:

I think it true?

I is correct?

my brainlist answer please. <:(

Step-by-step explanation:

please make it a little bit clear

Answer:

280,280

Step-by-step explanation:

i believe you just multiply 45.5 times 5280

Step-by-step explanation:

[tex]1mile = 5280feet[/tex]

[tex]45.5miles = x[/tex]

[tex] \frac{45.5}{1} \times 5280[/tex]

[tex]x = 240240feet[/tex]

~Denki Kaminari here~

Answer:

5t\sqrt(6su) (THE SECOND ONE)

Step-by-step explanation:

simplify the radical by breaking it up into known factors, assuming positive real numbers.

hope this helps :D

Answer:

41.86 is the right answer

Step-by-step explanation:

Answer:

1st one is 0.021

2nd one is 0.009

the last question is 0.015 tho

Answer:

for the first one it will be 0.021

the second one it's 0.009

and for the third one it will be 0.015