What is the "k" value of the following function? Is it 3, -2, -3, or 2?

Answer:

11 17/21 cm²

Step-by-step explanation:

5 1/6 = (5*6 + 1)/6 = 31/6

2 2/7 = (2*7 + 2)/7 = 16/7

A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²

Answer: f²+g²=h²

Step-by-step explanation:

In a right triangle, you use the Pythagorean Theorem: a²+b²=c² to find the hypotenuse of the triangle. I would believe that you could just substitute the variables in this equation with the ones that you have. This should show the relationship between the 3 unknown lengths of the sides.

Pens = 36y

Pencils 12y

This is because the cost of pens is 36 times however many pens you buy

The Sam Egeos for pencils except it’s 12 cents.

Answer:

1/3 min ( = 20 seconds)

Step-by-step explanation:

The period of the ride is the time he takes to complete 1 revolution

We are given:

12 revolutions -------> takes 4 min

1 revolution ------> takes 4/12 = 1/3 min  (= 20 seconds)

Answer:

(x + 5)(x - 2)

Step-by-step explanation:

Given

x² + 3x - 10 ← expression on the denominator

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)

The factors are + 5 and - 2, since

5 × - 2 = - 10 and 5 - 2 = + 3, thus

x² + 3x - 10 = (x + 5)(x - 2)

Answer: The slope is 21/41.

Step-by-step explanation:

IF the goals he scores is at a constant rate the we know if you would have to graph it, it will go through the origin.

To find the slope of a constant relationship,you will divide the y value by the x value.Now it indicates to us that x is the number of games while y is the number of goals.

so 42/82 which reduces to 21/41  has to be the slope .

Answer:

it’s 21/41 or A (I got a 100% on the test)

Answer:

The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:

2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6

Answer: (4,10)

Step-by-step explanation:

This is the answer because you would have to plug in everything into the midpoint formula and then solve for x2 and y2. Hope this helps! :)

Answer:

(4,10)

Step-by-step explanation:

Answer:

x = 1 and x = 3.

Step-by-step explanation:

y = 2[tex]x^{2}[/tex] - 8x + 6

y = 2([tex]x^{2}[/tex] - 4x + 3)

y = 2(x - 3)(x - 1)

So, the x-intercepts would be at...

x-3 = 0

x = 3

and

x - 1 = 0

x = 1

Hope this helps!

Answer:

-3 + 9i

Step-by-step explanation:

The conjugate of -3i is - 3 - i.

(- 3 i) × (- 3 - i)

Multiply both terms.

-3 + 9i

The multiplication of the complex number -3i and it’s conjugate 3i is 9.

A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.

For the given situation,

The complex number is -3i.

The conjugate of a complex number a+bi is a-bi.

So, the conjugate of a complex number [tex]-3i[/tex] is [tex]3i[/tex]

Now multiply -3i and 3i, we get

⇒ [tex](-3i)(3i)[/tex]

⇒ [tex]-9(i^{2} )[/tex]

⇒ [tex]-9(-1)[/tex]               [∵ [tex]i^{2}=-1[/tex]]

⇒ [tex]9[/tex]

Hence we can conclude that the multiplication of the complex number -3i and it’s conjugate 3i is 9.

Learn more about complex numbers here        

https://brainly.com/question/14029629

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Answer:

i.  {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

ii. The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375)

Step-by-step explanation:

when a coin is tossed, the outcomes can either be a head or a tail. The tree diagram attached to this answer shows the display of the possible outcomes when a coin is tossed three times.

The possible outcomes when a coin is tossed three times are:

                   {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

where; H represents the head and T represents the tail.

Pr(tossing exactly 2 tails) = [tex]\frac{number of outcome of 2 tails}{total number of outcome}[/tex]

                                          = [tex]\frac{3}{8}[/tex]

                                          = 0.375

The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375).

Answer:

The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Step-by-step explanation:

Total number of face cards = 12

Total cards = 52

Probability of getting face card on first draw=[tex]\frac{12}{52}[/tex]

Remaining no. of face cards = 11

Remaining number of total cards = 51

Probability of getting face card on second draw=[tex]\frac{11}{51}[/tex]

The probability that the second card is a face card if it’s known that the first card was a face card =[tex]\frac{12}{52} \times \frac{11}{51}= \frac{12}{52} \times \frac{11}{51}=0.0497[/tex]

Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Answer:

9 cm

Step-by-step explanation:

If you were to imagine this right triangle, you would find it to be a 45 - 45 - 90 triangle. Perhaps the " shorter leg " piece of information was present to trick you, considering that the legs are congruent by converse to base angle theorem.

How is this triangle a 45 - 45 - 90? In such a triangle, the legs can be posed as x cm, as the base angles are congruent ( 45 and 45 ), thus the legs of the triangle are congruent as well. The hypotenuse would be x√2, and as we can see -

If legs = x, Hypotenuse = x√2 = 9√2

Thus, the length of the other leg is 9 centimeters ( 9 cm )

Hope that helps!

Answer:

B

Step-by-step explanation:

0 to 9 has 10 numbers, and 7 numbers are 0, 1, 2, 3, 4, 5, 6, so the ans is B.

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Hope this helps you...

Answer:

£700

Step-by-step explanation:

First we find the interest on this money.

Interest = Principal * Rate * Time

             =[tex]\frac{500 * 8 * 5}{100}[/tex]

            =5 * 8 * 5

            =£200

Interest = £200

Now you add his actual money to the interest you just found to give you the total amount.

Amount = £500 + £200

             = £700

Answer:

The data are at the nominal level of measurement

Step-by-step explanation:

Nominal Level of measurement is irrespective of orders or classes. In this survey we do not find out which game is ranked the most favorite.

Nominal; level is used just for counting.  Its cannot be used as a measure or for quantitative analysis.

Such data cannot give the mean of the sample. And the two means cannot be compared.

In the given question it only gives the number of likes  nothing more. The average cannot be calculated for such data.

Answer:

k=4/5

Step-by-step explanation:

(-k+2)/(1-2k) = -2   ( using the slope formula (y2-y1)/(x2-x1)  )

-k+2 = -2 (1-2k)

-k+2 = -2 + 4k

2= -2 +5k

4 = 5k

k=4/5

Answer:

Step-by-step explanation:

To find k use the formula for finding the slope of a line and equate it to the slope which is - 2

So we have

(2k, -2) and (1, - k)

[tex] - 2 = \frac{ - k + 2}{1 - 2k} [/tex]

Cross multiply

That's

- 2( 1 - 2k ) = - k + 2

Expand and simplify

- 2 + 4k = - k + 2

Group like terms

4k + k = 2 + 2

5k = 4

Divide both sides by 5

k = 4/5

Hope this helps you

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{48}{60}[/tex]

To simplify find the highest common factor of 48 and 60, that is 12

Divide both values by 12

[tex]\frac{48}{60}[/tex] = [tex]\frac{4}{5}[/tex] ← in simplest form

The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator

Answer:

The maximum power available to the motor is 2.4 MW

Step-by-step explanation:

The power of  a circuit that has a current, I, and a voltage, V, is given by the relation

Electrical power, P = I²R = I× I×R = I × V

Therefore given that the parameters are;

Voltage in the d.c. power supply = 600 V d.c.

Maximum current in the motor = 4000 A

Therefore, we can find the power as follows;

Maximum motor power = Voltage × Current

The maximum motor power, P available =  600 V × 4000 A = 2400000 W which on converting to MW becomes;

The maximum power available to the motor , P = 2.4 MW.

Answer:

Standard form: [tex]x^3+3x^2-x-3[/tex]

Leading coefficient: 1

Step-by-step explanation:

[tex]3x^2-x-3+x^3=\\x^3+3x^2-x-3[/tex]

The leading coefficient is 1 because the leading term is [tex]x^3[/tex].

Answer:

∠U = 40°

Step-by-step explanation:

in order to find the missing angle of U we need to know the two other angles.

We know that ∠T is 65° and we know that ∠TSF is 105°. Because ∠TSF is an exterior angle, we can subtract 180 to get the interior angle. This would mean that ∠S is 75°.

Using this we can add 65 to 75 then subtract the total from 180 to get ∠U.

This would mean that ∠U is 40°

Answer: 1:330

Step-by-step explanation:

Ratio is the the quantitative relation that exists between two amounts whihc shows the amount of times a particular value is contained in the other value.

From the question, we are told that the African elephant that weighs 16,500 pounds will need to drink 50 gallons of water every day. The ratio of the amount of water consumed to the weight of the elephant will be:

50:16500

We can simply further by finding the highest common factor for 50 and 16500 which is 50.

50 = 50 × 1

16500 = 50 × 330

Therefore, the simplified ratio will be:

1:330

Answer:

C. 21 m

Step-by-step explanation:

As shown in the picture, we need to use tan∅ (opposite over adjacent) to solve for the height of the tree:

tan40° = h/25

25tan40° = h

h = 20.9775

h ≈ 21 m

Answer:

Step-by-step explanation:

UV & UT are the sides

Answer:

This is the quantity of output per unit of input.

Step-by-step explanation:

I'm very sure.

Answer:

144°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 10, thus

sum = 180° × 8 = 1440°

1 interior angle = 1440° ÷ 10 = 144°

Answer:

A. x = (ln(4))/4

Step-by-step explanation:

2000 = 500e⁴ˣ

(2000)/500 = (500e⁴ˣ)/500

4 = e⁴ˣ

ln(4) = ln(e⁴ˣ)

ln(4) = 4x

(ln(4))/4 = (4x)/4

(ln(4))/4 = x

x = (ln(4))/4

Answer:

A. x = ln(4)/4

Step-by-step explanation:

Answer:

Factor (a+3)2−a(a+3)

3a+9

=3(a+3)

Answer:

3(a+3)

I hope this help :)

Answer:

(a+3)(3)

Step-by-step explanation:

(a+3)^2-a(a+3)

(a+3)(a+3)-a(a+3)

Factor (a+3)

(a+3)(a+3-a)

(a+3)(3)

Answer:

4

Step-by-step explanation:

9 divided by 36

Answer:

4 words/minute

Step-by-step explanation:

Since we need words per minute, we divide the number of words by the number of minutes.

words/minute = (36 words)/(9 minutes) = 4 words/minute