3) What is an equation for the line that passes through the coordinates (-1.2) and (7,6) ?

Answer:

m= - 4/13

Step-by-step explanation:

Answer:

-4/13

Step-by-step explanation:

Hopefully this helps :)

Answer:

See Explanation

Step-by-step explanation:

We will make use of the following rules in solving these questions:

Inverse Variation: [tex]a\ \alpha\ \frac{1}{b}[/tex] ==> [tex]a = k/b[/tex]

Direct Variation: [tex]a\ \alpha\ b[/tex] => [tex]a = kb[/tex]

Direct, then inverse variation: [tex]a\ \alpha\ b\ \alpha\ \frac{1}{c}[/tex] ==> [tex]a= kb/c[/tex]

Joint Variation: [tex]a\ \alpha\ bc[/tex] ==> [tex]a= kbc[/tex]

The solution goes thus:

1. m varies directly to a

[tex]m\ \alpha\ a[/tex]

[tex]m =ka[/tex]

2. p varies inversely as q.

[tex]p\ \alpha\ \frac{1}{q}[/tex]

[tex]p\ = k\frac{1}{q}[/tex]

3. [tex]r\ varies[/tex] directly as s and inversely as t.

[tex]r\ \alpha\ s\ \alpha\ \frac{1}{t}[/tex]

[tex]r = k\frac{s}{t}[/tex]

4. z varies jointly as [tex]e\ and\ f.[/tex]

[tex]z\ \alpha \ ef[/tex]

[tex]z = kef[/tex]

5. F varies directly as the [tex]square\ of\ t.[/tex]

[tex]F\ \alpha\ t^2[/tex]

[tex]F = kt^2[/tex]

6. d varies jointly r and t

[tex]d\ \alpha\ rt[/tex]

[tex]d = krt[/tex]

7. P is inversely proportional to h.

[tex]P\ \alpha\ \frac{1}{h}[/tex]

[tex]P= \frac{k}{h}[/tex]

8. P varies directly as V

[tex]P\ \alpha\ V[/tex]

[tex]P=kV[/tex]

9. d varies directly as the square of  t

[tex]d\ \alpha\ t^2[/tex]

[tex]d = kt^2[/tex]

10. s varies jointly as  b and d and inversely as the  square L

[tex]s\ \alpha\ bd\ \alpha\ \frac{1}{L^2}[/tex]

[tex]s = k\frac{bd}{L^2}[/tex]

Answer:

-1.6 < √2 - 3 < -1.5

Step-by-step explanation:

√2  - 3 = -1.58

-1.5 is closer to 0 so it is larger than -1.5 and -1.6 is father from 0 than -1.58 and -1.5 so its less than

Answer:

88 is a solution to 1/8 x = 11 because 1/8(88) = 11

Answer:

90000 gallons

Step-by-step explanation:

Given

[tex]Capacity\ at\ 60\% = 540000[/tex]

Required

Determine the full capacity

Let the maximum number of gallons be m.

So, we have:

[tex]60\% * m = 54000[/tex]

Convert % to decimal

[tex]0.60 * m = 54000[/tex]

Divide both sides by 0.60

[tex]m = \frac{54000}{0.60}[/tex]

[tex]m = 90000[/tex]

Hence, the maximum number of gallons it can hold is 90000 gallons

Answer:

Step-by-step explanation: capacity is 60% = 54000

Determine what is missing = 90000

Answer:

1/15

Step-by-step explanation:

decimal 0.06

if correct plz mark as brainliest

thank you

19NBoli

Answer:

that would half to equal 0.066

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex]x=\sqrt{x+7} +5[/tex]

Step 1: Flip the equation.

[tex]\sqrt{x+7} +5=x[/tex]

Step 2: Add -5 to both sides.

[tex]\sqrt{x+7} +5-5=x-5[/tex]

Step 3: Solve Square Root.

[tex]\sqrt{x+7} =x-5[/tex]

[tex]{x+7} =(x-5)^2[/tex] (Square both sides)

[tex]x+7=x^2-10x+25[/tex]

[tex]-x^2+11x-18=0[/tex]

[tex](-x+2)(x-9)=0[/tex] (Factor left side of equation)

[tex]-x+2=0[/tex]   or  [tex]x-9=0[/tex] (Set factors equal to 0)

x = 2 or x = 9

x = 2 (Doesn't work on the original equation)

x = 9 (Works in the original equation)

Answer:

x = 9

Answer:

the answer is 15 ok buddy

Answer:

125.25

Step-by-step explanation:

5 cube =125

1/2=0.5

0.5 squared =0.25

125+0.25=125.25

Answer:

Holly molly

Can i plz have brainliest

Step-by-step explanation:

Answer:

DANDG MAN??????????? DANG*

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

The mean absolute deviation of the scores 299, 281, 285, 269, 280, 269, 286, 287 is, 7.5

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, We know that;

The mean absolute deviation (MAD) is a measure of the dispersion of a set of data. It is calculated as the average absolute difference between each data point and the mean of the set.

Hence, To find the MAD for the given scores, first find the mean of the scores:

= (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287) / 8

= 280.5

Then, find the absolute difference between each score and the mean, and take the average of these differences:

= (|299 - 280.5| + |281 - 280.5| + |285 - 280.5| + |269 - 280.5| + |280 - 280.5| + |269 - 280.5| + |286 - 280.5| + |287 - 280.5|) / 8

= (18.5 + 0.5 + 4.5 + 11.5 + 0.5 + 11.5 + 5.5 + 6.5) / 8

= 7.5

So, the mean absolute deviation of the scores is 7.5.

To learn more about the mean absolute deviation, visit:

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Answer:

x intercept is 180

Step-by-step explanation:

Given

[tex]y = cos(\frac{1}{2}x)[/tex]

Required

Determine the x intercept

To do this, we simply set y to 0.

i.e. y = 0

Substitute 0 for y in [tex]y = cos(\frac{1}{2}x)[/tex]

[tex]0 = cos(\frac{1}{2}x)[/tex]

Take [tex]cos^{-1}[/tex] of both sides

[tex]cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))[/tex]

[tex]90 = \frac{1}{2}x[/tex]

Multiply both sides by 2

[tex]2 * 90 = \frac{1}{2}x * 2[/tex]

[tex]2 * 90 = x[/tex]

[tex]180 = x[/tex]

[tex]x = 180[/tex]

Hence, the x intercept is 180

Answer:

Uncertain if the second term is 30 and not 3o. IF 30, then the coefficients are

-1, 30 and 6.

Step-by-step explanation:

Coefficients are numbers ahead of the variables (letters).

The number 4 is called a constant. A constant is not a coefficient.

The coefficient (number ahead of the letters)  of -xyz is -1.

Hope this helps.

Hey there!

Let’s leave number unknown.. so we label it as a “e” for equivalent

NEW EQUATION: 5/10 = e/10

FIRST: you have to CROSS MULTIPLY your given values

5 • 10 = e • 2

5 • 10 = 50

e • 2 = 2e

NEW EQUATION: 2e = 50

SECOND: DIVIDE BOTH of the SIDES by 2

2e/2 = 50/2

Cancel out: 2/2 because that gives you 1

Keep: 50/2 because it helps us solve for e

e = 50/2

= 50/2

= 25

Answer: e = 25 ✅

Overall answer for your given equation: 25/10 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Fraction is 25/10

Step-by-step explanation:

For questions like these you should simply multiply the numerator and denominator with the same number.

Like :- 5/2's equivalent fraction whose denominator is 10

Thus, your equivalent fraction is 25/10

Hope this helps you.

Answer:

numbers dont do into math please move this to englash

Step-by-step explanation:

it posted worng

Answer:

Standard deviation= 4.46

B) 4.89 is the nearest answer

Step-by-step explanation:

Standard deviation √variance

Variance= (summation (x-mean)²)/n

Mean= summation of numbers/total

Mean =( 12+13+ 7+5+15 18)/6

Mean= 70/6

Mean= 11.67

Variance=(( 12-11.67)²+(13-11.67)²+ (7-11.67)²+(5-11.67)²+(15-11.67)²+ (18-11.67)²)/6

Variance= (0.1089+1.7689+21.8089+44.4889+11.0889+40.0689)/6

Variance= 119.3334/6

Variance= 19.8889

Standard deviation= √variance

Standard deviation= √19.8889

Standard deviation= 4.46

Answer:

[tex]3 + 4.50g \leq 25[/tex]

[tex]g\leq 4[/tex]

Step-by-step explanation:

25 - 3 is 22. 22 divided by 4.50 is a decimal. But it rounds down to 4. So the most amount of games Tristan can play is 4.

Hope it helps!

Answer:

[tex]Time = 11\frac{2}{3}\ min[/tex]

Step-by-step explanation:

Given

[tex]Security\ A = 2\ mins, 20\ secs[/tex]

[tex]Security\ B = 1\ mins, 40\ secs[/tex]

Required

After how many minutes, will they round together

First, convert the given time to minutes

[tex]Security\ A = 2\ mins, 20\ secs[/tex]

[tex]Security\ A = 2\ mins+ 20\ secs[/tex]

[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]

[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]

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

[tex]Security\ B = 1\ mins, 40\ secs[/tex]

[tex]Security\ B = 1\ mins+ 40\ secs[/tex]

[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]

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

So, we have:

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

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

List out the multiples of the time of both security personnel take round.

[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]

[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]

In the above lists, the common time is:

[tex]Time = 11\frac{2}{3}\ min[/tex]

This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]

Answer:

19%

Step-by-step explanation:

Answer:

Step-by-step explanation:

We use trig to answer these questions:

sin x = opposite side of a triangle / hypotenuse

cos x = adjacent side / hypotenuse

Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.

The height of the top of the ladder  is then defined by:

sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =

3.71 m

and the distance of the bottom of the ladder from the wall as follows:

cos 68 degrees = horizontal distance / hypotenuse =

1.50 m

The top of the ladder is 3.7088 m away from the ground.

The bottom of the ladder is 1.5 m away from the wall.

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given:

Angle = 68 degree

Hypotenuse = 4 m

Now, using Trigonometry

sin 68 = P/ H

0.9272 = P/ 4

P = 3.7088 m

Thus, the top of the ladder is 3.7088 m away from the ground.

Now, using Pythagoras theorem

H²= P² + B²

4² = (3.7088)² + B²

16 = 13.75 + B²

B² = 2.25

B= 1.5 m

Thus, the bottom of the ladder is 1.5 m away from the wall.

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Answer:

17,995

Step-by-step explanation:

21,152.25 - (2,150 + 1,007.25) = 17,995

Answer:

$17,995

Step-by-step explanation:

If you want to find the base, find out how much it costs without the options and the sales tax as they're just taxes and etc added to the car.

2,150 + 1,007.25 = 3157.25 (Total amount of taxes)

21,152.25 - 3157.25 = 17,995

Answer:

2952 square centimeters are needed to cover the exterior of the box.

Step-by-step explanation:

We need to cover five external faces of the box. The surface area formula ([tex]A_{s}[/tex]), measured in square centimeters, is derived from surface area formula for parallelpiped:

[tex]A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h[/tex] (1)

Where:

[tex]w[/tex] - Width, measured in centimeters.

[tex]l[/tex] - Length, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

If we know that [tex]w = 36\,cm[/tex], [tex]l = 23\,cm[/tex] and [tex]h = 18\,cm[/tex], then the outer surface area of the storage is:

[tex]A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)[/tex]

[tex]A_{s} = 2952\,cm^{2}[/tex]

2952 square centimeters are needed to cover the exterior of the box.

Answer:

x = 86

Step-by-step explanation:

The top right and bottom left angles are part of the reflective property, in turn, the bottom left angle is also 94 degrees; to find the opposite relfective angle set, it would be, in this problem, the top left and bottom right angles; the two top angles make up 180 degrees, so it would be (180-94 = 86) 86 degrees for both the top left and the bottom right angles.

Hope this helps :)

Answer:

2131 km

Step-by-step explanation:

The Pythagorean theroeom states that a^2+b^2=c^2. We know that Earth's radius is 6314, so we know one of the shorter sides, (a). side c, the hypotenuse, is 6314 km plus 350 km. Plug it into the equation and then solve for b.

6314^2+b^2=6664^2

b^2=4542327

sqaure root each side and you have your answer!

Answer:

Answer Below

Step-by-step explanation:

3/4 of 16

Depends of what you want.

You can make a pie chart. So you have 4 sections and then you shade 3. Then you have the word 4 in each sector.

Answer:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Hope that helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you're dividing a number by 10, just remove one zero, so we have: 1000000000÷10 = 100000000.

Answer: 100,000,000

Step-by-step explanation:

1,000,000,000/10 = 100,000,000

Answer:

0.02

Step-by-step explanation:

90 multiplied by 0.02 is 1.8