differentiate

f(x)= 186.5

Intensity = Voltage ÷ Electerical Resistance

Intensity = 120÷ 150

Intensity = 12/15

Intensity = 4×3/5×3

Intensity = 4/5

Intensity = 0.8 Amp

Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]

[tex]or \: m1 = \frac{5}{6} [/tex]

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

[tex]y + 2 = \frac{5}{6} x - 10[/tex]

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!

To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.

Let's analyze each option:

A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)

In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.

B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)

Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.

C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)

Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.

D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)

In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.

To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.

Option C is correct answer

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Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

Answer:

y=9.25

Step-by-step explanation:

5x+2y=20

5(.3)+2y=20

1.5+2y=20

2y=20-1.5

2y=18.5

y=18.5/2

y=9.25

Answer:

2/18 = 1/9

Step-by-step explanation:

She has a total of 18 menus, so that is our denominator. 2 are for Thai food, so that is our numerator.

2/18 = 1/9

Answer:

Step-by-step explanation:

Number less than 2 is 1.

Probability of 1 out of 6 is:

Probability of heads is:

The probability of both is:

Answer:

25%

Step-by-step explanation:

400/100•300/x=0.75

1.00-0.75= 0.25

25%

Answer:

25 percent of discount

Step-by-step explanation:

[tex]original_price=400\\final_price=300\\discount=100\\\\\frac{400*percent}{100}=100 =>percent=\frac{100^2}{400}=25[/tex]

Answer:

1

Step-by-step explanation:

Add teh exponents.

9^c * 9^-c = 9^(c - c) = 9^0 = 1

Answer:

[tex]midpoint = ( \frac{x _{1} + x _{2}}{2} , \: \frac{y _{1} + y _{2}}{2} ) \\ = ( \frac{7 + 9}{2} , \: \frac{4 + - 1}{2} ) \\ = (\frac{16}{2} , \: \frac{3}{2} ) \\ = (8, \: 1.5)[/tex]

Answer:

x = 9

Step-by-step explanation:

These are alternate exterior angles and alternate exterior angles are equal if m is parallel to n

6x+5 = 7x-4

Subtract 6x from each side

6x -6x+5 = 7x-6x-4

5 = x -4

Add 4 to each side

5+4 =x-4+4

9 =x

Answer:

A

Step-by-step explanation:

Answer:

an = 80. 2^(n-5)

Step-by-step explanation:

r = a6/a5 =160/80 = 2

an = a5. r^(n-5)

= 80. 2^(n-5)

Answer:

D

[tex] \times area = area \: of \: trapezium + area \: of \: rectangle \\ = ( \frac{1}{2} \times h(a + b)) + (l \times w) \\ = ( \frac{1}{2} \times (11 - 6) \times (20 + 8)) + (20 \times 6) \\ = 70 + 120 \\ = 190 \: {m}^{2} [/tex]

Answer:

Step-by-step explanation:

Since this is a right triangle, we will use a right triangle trig identity to solve our problem. The side opposite the reference angle A is given as 5, and the side adjacent to the reference angle is given as 7. The trig ratio that uses the sides opposite and adjacent is the tangent ratio:

[tex]tanA=\frac{5}{7}[/tex]

Hit the 2nd button on your calculator then the tan button which displays:

[tex]tan^{-1}([/tex]

Enter 5/7 after that open parenthesis and hit = to get that

A = 35.54°

Answer:

the answer should be D hope you pass

Answer:

D

Step-by-step explanation:

-10 + u = 14

u = 14+10=24.0

Answer:

x and y = 19

Step-by-step explanation:

sin 45/x = sin90/19[tex]\sqrt{2}[/tex]

19[tex]\sqrt{2}[/tex]×sin45=sin90x

x=19

Pythagorean theorem for y

[tex]y^{2}[/tex]=(19[tex]\sqrt{2}[/tex])^2 - 19^2

y^2= 722 - 361

y^2= 361

y=19

The answers seem kinda weird to me so...

Answer:

32

Step-by-step explanation:

Answer:

x = 0.75

Step-by-step explanation:

Answer:

for 50 pulls, 12.5 blue socks, but you cant have half of a sock so we say 12

for 1000 pulls, 250 blue socks

for 10,000 pulls, 2500 blue socks

Step-by-step explanation:

First we add 5, 7 and 8 to find the total number of socks, 5+7=12 and 12+8 = 20

5 is the amount of blue socks, so

5/20 * how many pulls are conducted is the probability for blue socks

7 is the amount of pink socks, so

7/20 * how many pulls are conducted is the probability for pink socks

and

8 is the amount of yellow socks, so

8/20 * how many pulls are conducted is the probability for yellow socks

Answer:.

Step-by-step explanation:

Answer:

10<10

Step-by-step explanation:

Based on the given conditions, formulate:10<10

Answer:

3/16 or 3 over 16

Step-by-step explanation:

Find half of 3/8:

1/2x3/8 = 3/16

Answer:

0.25

Step-by-step explanation:

Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25

To It’s centered around 0.25 then the parameter would be 0.25.

We have given,

Suppose that many large samples were taken from a population and the sample proportion centered around 0.25

We have to determine which of the given is most likely the population parameter.

A sample means from any distribution. We could have a left-skewed or a right-skewed distribution.

To It’s centered around 0.25 then the parameter would be 0.25

Therefore option A(0.25) is correct

To It’s centered around 0.25 then the parameter would be 0.25.

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Answer:

-6x^2 +4x+3

Step-by-step explanation:

See image below:)

Answer:

[tex] {a}^{2} - 2ab + {b}^{2} [/tex]

Step-by-step explanation:

too easy:)

Answer:

a^2 - 2ab + b^2

Step-by-step explanation:

(a-b)^2

(a-b)*(a-b)

(a*a)

(a*-b)

(-b*a)

(-b*-b)

a^2-ba-ba+b^2

a^2-2ba+b^2