Two vectors added using the tip to tail method. There is a 12 meter vector west added to a 5 meter vector north in a right triangle. The hypotenuse is a dashed arrow labeled R. What is the magnitude of the resultant vector? 13 miles 17 miles 60 miles 169 miles

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

[tex]P(x)=-15x(x-8)[/tex]

To find:

The current which will produce the maximum power.

Solution:

We have,

[tex]P(x)=-15x(x-8)[/tex]

[tex]P(x)=-15x^2+120x[/tex]

Differentiate with respect to x.

[tex]P'(x)=-15(2x)+120(1)[/tex]

[tex]P'(x)=-30x+120[/tex]      ...(i)

To find the extreme point equate P'(x)=0.

[tex]-30x+120=0[/tex]

[tex]-30x=-120[/tex]

Divide both sides by -30.

[tex]x=4[/tex]

Differentiate (i) with respect to x.

[tex]P'(x)=-30(1)+(0)[/tex]

[tex]P'(x)=-30<0[/tex] (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

Answer:

its 4 amperes

Step-by-step explanation:

khan said so

Answer:

D. 36

Step-by-step explanation:

because to find volume we should multiply all the side

Answer:

d.36in    

Step-by-step explanation:

Answer:

[tex]\frac{2}{5}[/tex]×[tex]-\frac{5}{4}[/tex]=[tex]-\frac{10}{20}[/tex]=[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

2×5=10

5×4=20

add "-"

simplest

10÷10=1

20÷10=2

add "-"

Ans: -1/2 ([tex]-\frac{1}{2}[/tex])

Answer:

it is -1/2

Step-by-step explanation:you can trust me i did the quiz.

Answer:

$299.97

Step-by-step explanation:

Given that :

Total Amount spent :

New smart phone = $199.99

Carrying case = $39.99

Accessories = $59.99

Total amount spent is represented by the expression :

The expression |-199.99| + |-39.99| + |-59.99|

Since it is denoted using absolute value :

$(199.99 + 39.99 + 59.99) = $299.97

|-299.97|

Answer:

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the form:

f (x) = m*x + b   or  y=m*x + b

where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.

The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis.  According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.

You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118.   Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.

Answer: There is 1 quarter in the jar

Step-by-step explanation:

First, we see that there needs to be at least one coin of each; a nickel, a dime, and a quarter.

5+10+25=40 (cents)

A quarter is worth 25 cents, and the total value is only 60, so it is impossible for the quarter value to be more than one, otherwise breaking the total value of 60 cents.

Answer:

1

Explanation:

I did that questions in a Mathcounts competition

Answer:

-24

Step-by-step explanation:

Answer:

-58 + 34 = -24

Step-by-step explanation:

You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.

REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.

Hope that was helpful and not confusing!!!

Answer:

ASA

Step-by-step explanation:

you can prove it by using ASA (Angle Side Angle)

ASA is a postulate that states if two angles and one side are congruent to another triangle.

hope this helps :)

brainliest?

Answer:asa

Step-by-step explanation:

because it is lol

Answer:

negative

Step-by-step explanation:it goes down

Answer:

A-the slope is negative

Step-by-step explanation:

right on plato/edmentum

Answer:

x=-3  y=-5

Step-by-step explanation:

big brain

Answer:

I think it would be 1 and 3

Step-by-step explanation:

The correct answer is the first, second, and third.

1st Option-

This is pretty simple if you understand how a number line works. All the numbers on the right side are greater no matter what.

2nd Option -

All numbers on all sides could be rational, as we don't know what kind of number line this is.

3rd Option-

This is also correct because like the previous statement, the number line is unknown. We could have repeating numbers as long as the ones on the left side are less than the ones on the right.

4th Option -

This is incorrect because no matter what number line you have, the numbers on the left side are ALWAYS less than the ones on the right.

Answer: Not sure why you copied the text of the website as well, but it has infinite solutions. You get 4x + 2 = 4x + 2, or 0 = 0.

Step-by-step explanation:

Answer:

image or context?????

Step-by-step explanation:

Answer:

70 x 1800 = 126000=1.26 x 16^5

The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

70 and 1.8 × 10³

The product of 70 and 1.8 × 10³ expressed in scientific notation will be

⇒ 70 × 1.8 × 10³

⇒ 126 × 10³

The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

1. Add 4 to both sides. 3x-4+4=8+4

2. Divide 3 from both sides. 3x/3=12/3

3. Solution. x=4.

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

For every 3 hours of weeding performed, I consume 5 litres of water.

This means that, I drink 5 litres of water whenever I weed for a total of 3 hours.

The unit rate :

The liters of water consumed per hour :

3 hours = 5 litres

1 hour = x

3x = 5

x = 5 /3

x = 1.67 litres

1.67 litres of water per hour of weeding performed

.

Answer:

an intruder is coming close brainly for a little please!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

(y-2)/(-1-9)=(y-2)/-10    (11-16)/(-8-(-5))=-5/-3=5/3  Perpendicular slope is -3/5

(y-2)/10=-3/5 cross multiply 5(y-2)=3(10)    5y-10=30   add 10 to both sides

5y=40  divide both sides by 5 and y is equal to 8.

The value of y is 8 if AB is perpendicular CD after using the slope formula.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

A(9, 2), B(-1, y) C.(-5, 16) and D(-8, 11),

AB is the perpendicular CD

Using the slope formula to find the slope between A and B:

(y-2)/(-1-9)

= (y-2)/-10    

(11-16)/(-8-(-5)) =

-5/(-3)

= 5/3  

The perpendicular slope is -3/5

(y-2)/10=-3/5

5(y-2)=3(10)    

5y-10=30  

5y=40  

y = 8

Thus, the value of y is 8 if AB is perpendicular CD after using the slope formula.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ2

Answer: Reflect across the Y and and move it 7 down

Step-by-step explanation: Reflecting across the Y will turn the (X,Y) into (-X,Y) then you just count how many places the image is away from the preimage.

Answer:

It should be 1/16

Step-by-step explanation:

The word of in a word problem means multiplication so if you multiply you get 1/16

Answer:

Step-by-step explanation:

Time spend on online = 1/6 of 24 hours

                                    = [tex]\frac{1}{6}*24[/tex]

                                    =  4 hours

Time spend on writing a blog = 3/8 of 4

                                                 = [tex]\frac{3}{8}*4[/tex]

                                                 = [tex]\frac{3}{2}= 1\frac{1}{2}[/tex]

                                                 = 1 hour 30 minutes

Answer:

You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.

Step-by-step explanation:

Answer $3.00

Step-by-step explanation:

Answer:

B, D

Step-by-step explanation:

Answer:

Probably 169

Step-by-step explanation:

I divided 222 by 2 and got 111 so i added 58 and got 169

111+58=169

If im incorrect please correct me so i can learn as well :D

Answer:

We have the equation:

(ax^2 + 3x + 2b) - (5x^2+bx-3c)=  3x^2 - 9

First, move all to the left side.

(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0

Now let's group togheter terms with the same power of x.

(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.

This must be zero for all the values of x, then the things inside each parenthesis must be zero.

1)

a - 5 - 3 = 0

a = 3 + 5 = 8.

2)

3 - b = 0

b = 3.

3)

2b + 3c + 9 = 0

2*3 + 3c + 9 = 0

3c = -6 - 9 = -15

c = -15/3 = -5

Then we have:

a = 8, b = 3, c = -5

a + b + c = 8 + 3 - 5 = 6

Answer:

(1,6)

Step-by-step explanation:

Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)

Answer:

y=1/2x-6

Step-by-step explanation:

use the equation y=mx+b

m=slope and b=y-intercept.

we know that the slope is 1/2 and the point is in (x,y) form so for b we can insert the b as -6 , the point that intercepts the y-axis. hope this helps!!

Answer:

1hour

Step-by-step explanation:

1 hour because twelve divided by 6 is 2

Answer:

2+2=4

Step-by-step explanation:

You've got this man.

Answer:

4

Step-by-step explanation: