angela fully charged her laptop, then unplugged it and tracked the battery level at certain times under constant use. the table below shows her findings. find an equation for the line of best fit, then estimate the battery level after two hours of constant use unplugged. What’s the equation we use ? Solution ? Someone please help fast

Answer:

99.166666666666666666666; 595/6; 99 1/6; 99

Step-by-step explanation:

THE FORMULA IS (x)/(170)=(35)/(60)

solve for x

copy the formula in bold and paste it to math w]y:

(x)/(170)=(35)/(60)

choose the option to solve for x and 99.666666666666∞ is the answer.

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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Answer:

2nd answer choice :)

Step-by-step explanation:

The new figure produced is given below.

Option C is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the figure be in the first quadrant.

Now,

Rotation of 180-degree means,

The figure will be in the third quadrant.

Now,

Dilation with a factor of 1/2.

This means,

The figure will shrink by 1/2.

Thus,

The new figure is given below.

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Answer:

Check pdf

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

g(x)=4x-5

g(3)= 4(3)-5

=12-5

=7

Answer:

g(3)=4x-3

Step-by-step explanation:

put 3 into x

know g(3)=4x-3=4×3-1=12-1=11

11 will be the answer

Answer:

9. option D ---> (3, -5)

10. option D ---> E = 4.5H + 35

Step-by-step explanation:

9. According to the rule of reflecting across the y-axis :-

(x, y) ---> (-x, y)

(-3, -5) ---> (3, -5)

3 was already a negative, so we would flip the signs making it positive and keeping -5 as it is.

10. When we read the questions it gives us some information that is useful to form an equation.

Now we can put all of the information into an equation.

E = 4.5H + 35

I would appreciate if you give me the branlist or not. Hope this helps and stay safe, happy, and healthy, thank you :) !!

The amount of money that each person would get for the three days of work is $92.

The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.

Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day

= $93 + $75 +$108  =$276

The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.

The amount of money gotten by each person = total earnings / total number of people

$276 / 3 = $92

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Fr tho. I'm over here as a freshman answering sophmore-junior year college questions with ease.

\(\displaystyle\bf 4\sqrt{28} :3\sqrt{7} =4\sqrt{4} \cdot \sqrt{7} :3\sqrt{7} =4\cdot2:3=\boxed{\frac{8}{3} }\)

Step-by-step explanation:

it is true though because

4 x -3 = -12

and

-12 - 2 = -14

The value of (2/3) ÷ (1/4) is 8/3 and the value of 7 ÷ (2/3) is 21/2.

This is a question from the division of fractions.

We know the property of fractions is given by:-

(m/n) ÷ (a/b) = (m/n)*(b/a) = mb/na

Hence, we can write,

(2/3) ÷ (1/4) = (2/3) * (4/1) = 2*4/3*1 = 8/3

7 ÷ (2/3) = (7/1)*(3/2) = 7*3/ 1*2 = 21/2

Fractions

A fraction represents a part of a whole or, more generally, any number of equal parts. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

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Answer:

(5,4)

Step-by-step explanation:

-x+2y=3

3x-2y=7

Add the like terms( 2y and -2y)(-x and 3x)(3 and 7) together. Do this vertically. 2y and -2y cancel eachother out.

Divide both sides by 2

To find y, substitute x in for y in one of the equations

add 5 to both sides

Divide both sides by 2

Check:

Answer: 4:42

Step-by-step explanation:

4:30 + 0:12 = 4:42

Answer:

Average Speed: 60 miles/hour

Average Velocity: 34.6 miles/hour at a direction of 30 degrees North of East

Rectangular Coordinates: (0, 30) miles

Polar Coordinates: (30 miles, 60 degrees)

Step-by-step explanation:

Average speed is calculated by dividing the total distance traveled by the total time taken, which is (30 + 30) miles in 1.5 hours or 60 miles/hour.

Average velocity is calculated by dividing the total displacement by the total time taken. The displacement is the straight-line distance from the starting point to the ending point, which is the hypotenuse of a right triangle with legs of 30 miles and 30 miles. Using the Pythagorean theorem, the displacement is 42.4 miles. The direction of the displacement is the arctangent of the opposite leg over the adjacent leg, which is 45 degrees North of East. Since the displacement took 1.5 hours, the average velocity is 42.4 miles/1.5 hours or 28.3 miles/hour.

The rectangular coordinates of the final position are (0, 30) miles since the car moved 30 miles north from its starting point, but no distance east or west.

The polar coordinates of the final position can be found by using the displacement as the radius and the direction of the displacement as the angle. The radius is 42.4 miles and the angle is 45 degrees + 30 degrees = 75 degrees (since the car turned left). However, polar coordinates are usually given with respect to the positive x-axis, which is East. Therefore, the angle needs to be measured counterclockwise from East, which is 15 degrees. Thus, the polar coordinates are (42.4 miles, 15 degrees).

The following area tagged expression or sentence as;

1. Expression

2. Expression

3. Sentence

4. Sentence

5. Expression

Algebraic expressions are described as expressions that are composed of variables, terms, coefficients, factors and constants.

These expressions are also identified with various mathematical or arithmetic operations, such as;

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Answer:

1/4 * 1/8 = 1/32 inch

Step-by-step explanation:

1/4 * 1/8 = 1/32inch

Answer:

24.5

Step-by-step explanation:

7^2=49

49/2=24.5

Answer:

  y +1 = -5(x -4)

Step-by-step explanation:

You want the point-slope equation of the line with slope -5 through point (4, -1).

The point-slope equation of a line has the form ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Substituting m=-5 and (h, k) = (4, -1), the equation is ...

  y -(-1) = -5(x -4) . . . . . . values substituted

  y +1 = -5(x -4) . . . . . . . simplified a bit

For the family plan:

Let:

y1 = Total cost

a1 = Charge for each device = 40

b1 = Monthly fee = 90

P = Number of devices

So:

The model for the family plan will be given by:

For the Mobile share plan:

Let:

y2 = Total cost

a2 = Charge for each device = 35

b2 = Monthly fee = 120

P = Number of devices

The model for the mobile share plan will be given by:

We can find the number of devices that would make the two plans equal in cost. Solving for:

The number of devices that would make the two plans equal in cost is 6.

If P = 3

For 3 devices The family plan cost $210 and for 3 devices the mobile share plan cost $225, Therefore we can conclude that for 3 devices The family plan is more affordable.

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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Answer:

\(\left( x-2\right)^{2} +\left( y-6\right)^{2} =12\)

Step-by-step explanation:

Formula ………………………………………………………………………

The equation of a circle with center (a , b) and radius r is :

\(\left( x-a\right)^{2} +\left( y-b\right)^{2} =r^{2}\)

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

Now ,let’s apply what we have learnt:

The equation of the circle with center (a , b) = (2 , 6) and radius r = 2√3 is :

\(\left( x-2\right)^{2} +\left( y-6\right)^{2} =\left( 2\sqrt{3} \right)^{2}\)

\(\Longleftrightarrow \left( x-2\right)^{2} +\left( y-6\right)^{2} =12\)

\(\text{Note :} \left( 2\sqrt{3} \right)^{2} =2^{2}\times \sqrt{3}^{2} =4\times3=12\)

Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

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Answer:

300%

Step-by-step explanation:

\(\frac{225}{75} = \frac{y}{100}\)

225 × 100 = 75 × y

22500 = 75y

75y ÷ 75 = 22500 ÷ 75

y = 300

300%

Here is a formula for most percent problems.

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:

y=-2/9x+(-4)

Step-by-step explanation:

we alr know slope is -2/9 (found with rate of change formula) so we have y=-2/9x+b

solve for b with one of the points (i used (-36,4):

4=(-2/9)(-36)+b

b=-4

Answer:

c) because 2*2 =4 and 4 -2 =2

Step-by-step explanation: