Use technology to find the line of best fit for the following data.
(−7,1), (2,9), (0,7), (−3,5), (−8,−2), (−1,2), (−6,−1), (−5,0), (0,5), (1,7), (−4,2), (3,7)
When the equation of the line is in the form y=mx+b, what is the value of m?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5

Answer:

8 A

Step-by-step explanation:

V = 20 volts

R = 2.5 ohms

I=?

By Ohm's Law

[tex] \because \: I \: = \frac{V}{R} \\ \\ \therefore \: I= \frac{20}{2.5} = \frac{200}{25} = 8 \: Ampere[/tex]

Answer:

39°

Step-by-step explanation:

At the section the angles are connected, meaning that the angle across from w is the same as w and same applied to x. To find y, you first need to find w, to find the 2nd angle of the triangle of the right.

To do this, you need to add up 42 + 85.

(All triangles angles = 180)

42+85=127

subtract this from 180 to find angle w

180 - 127 = 53

53 = Angle w, which is the same as the angle across from angle w (second angle).

Second, take 53 + 88 = 141

Subtract this from 180

180-141 = 39.

39 is y°

or

y° = 39

It's 36 because f(x)=4 has a y-intercept of 4 and g(x)=2x2-13x+9 has a y-intercept of 9.

Product is a term of muptiplication and 9x4 is 36.

Answer:

B

Step-by-step explanation:

We have to look at the full dot

Answer:

10.3

Step-by-step explanation:

Let the given points be the endpoints of a right triangle.  The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.

The desired distance is found using the Pythagorean theorem:

d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)

Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = [tex]\frac{-k\pm\sqrt{k^2-4hc}}{2h}[/tex]

  = [tex]\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}[/tex]

  = [tex]\frac{-9\pm\sqrt{81-336}}{2(12)}[/tex]

  = [tex]\frac{-9\pm\sqrt{-255}}{24}[/tex]

  = [tex]\frac{-9\pm i\sqrt{255}}{24}[/tex]

a = [tex]\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}[/tex]

Therefore, Option B will be the correct option.

Answer:

= 6√30 or Decimal: 32.863353

9514 1404 393

Answer:

  WV = 6

Step-by-step explanation:

The hash marks indicate the corresponding lines are the same length. That is, W is the midpoint of YZ, because YW ≅ WZ. Similarly, V is the midpoint of XY, because XV ≅ VY.

Using this information, it can be shown that ∆YWV ~ ∆YZX. This means corresponding sides have the same ratio.

Because YW is half of YZ, WV is half of ZX.

  YW/YZ = 1/2 = WV/ZX = WV/12

Multiplying by 12 gives the value of WV:

  WV = 12(1/2)

  WV = 6

_____

This is a long way to say that the midsegment (WV) is half the length of the base (ZX) of a triangle.

Answer: C = 12

Step-by-step explanation:

A = x

B = x[tex]\sqrt{3}[/tex]

C = 2x

So then to find A we divide B by [tex]\sqrt{3}[/tex], which makes A =6. But C = 2x, so then C = 2(6), which equals 12. Hope that helps :)

Answer:

-2/7

Step-by-step explanation:

reciprocal, I'll put it as negative inverse.

so just concert 3.5 to fraction, which is 7/2

then find the negative inverse that's -1÷7/2

answer us -2/7

really hope it's right(...sorry if I'm wrong) and hope you get it.

Answer:

Answer:

1.) [tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]

2.) [tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{12}[/tex]

3.) [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex]

4.) [tex]\frac{1}{4}[/tex] ÷ 4 = [tex]\frac{1}{16}[/tex]

5.) 3 ÷ [tex]\frac{1}{4}[/tex] = 12

6.) 4 ÷ [tex]\frac{1}{2}[/tex] = 8

7.) 5 ÷ [tex]\frac{1}{4}[/tex] = 20

8.) 4 ÷ [tex]\frac{1}{4}[/tex] = 16

Hope this helps!

Answer:

9.7

Step-by-step explanation:

[tex]cos(59)=5/x\\\\x*cos(59)=5\\\\x=5/cos(59)\\\\[/tex]

x ≈ 9.7

Answer:

D. 24

Step-by-step explanation:

substitute -4 for x:

f(-4)=20-(-4)

f(-4)=24

Answer:

129 m²

Step-by-step explanation:

Let's start by finding the areas of the triangles on the sides:

4×6÷2=12 (height times base divided by two)

Then we multiply by 2 as there are 2 of them

12×2=24

Then we find the areas of the rectangles:

5×7=35

35×3=105 (there are three)

Finally we add them:

105+24=129 m²

The harmful use of animals in experiments is not only cruel but also often ineffective. Animals do not get many of the human diseases that people do, such as major types of heart disease, many types of cancer, HIV, Parkinson's disease, or schizophrenia.

Answer:

The visiting team took more shots than the home team.

Step-by-step explanation:

Answer:

[tex]\large \mathbb{ANSWER:-}[/tex]

Sum of the numbers = 3

One number = 6

Other number = 8x

⎇ Equation = 8x + 6 = 3

Other number = ?

[tex]8x + 6 = 3 \\ 8x = 3 - 6 \\ 8x = - 3 \\ x = \frac{ - 3}{8} \\ x = - 0.375 [/tex]

➟ The value of x in fraction form is - 3/8 while in decimal form is - 0.375

[tex]8x = (8 \times \frac{ - 3}{8} ) \\ 8x = - 3[/tex]

⎆ The value of 8 times a number or 8x is - 3.

Answer:

Fraction form of the answer is -3/8. Decimal form is 0.375

Step-by-step explanation:

Change this into a number equation ----->   8x + 6 = 3

Answer: 10 trip ticket  will cost £67. 4.

Step-by-step explanation:

Each (1)trip of One bus company costs= £6.74.

10 trip ticket  will cost  = £6.74 x 10 = £67. 4.

Answer:

10

Step-by-step explanation:

Cake remaiing after eating 1/3 = 1/3 x 5 = 5/3 kg

let x = pieces he divided the cake into

5/3 ÷ x = 1/6

1/ x = 3/5 x 1/6 = 1/10

x = 10

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 6) and (x₂, y₂ ) = (- 1, 8) ← 2 ordered pairs from the table

m = [tex]\frac{8-6}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1 , then

y = - x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, 6 ) , then

6 = - 1 + c ⇒ c = 6 + 1 = 7

y = - x + 7 → B

Answer:

Step-by-step explanation:

the area of the hemisphere is  1/2 [tex]\pi[/tex][tex]r^{2}[/tex]

the radius is 1/2 the diameter,

the diameter is also the hypotenuse of the isosceles triangle

[tex]d^{2}[/tex] = [tex]4^{2}[/tex]+[tex]4^{2}[/tex]

[tex]d^{2}[/tex] = 32

d =[tex]\sqrt{32}[/tex]

r = 1/2[tex]\sqrt{32}[/tex]

1/2[tex]\pi[/tex](1/2[tex]\sqrt{32}[/tex])^2

1/2[tex]\pi[/tex](1/4*32)

(32/8 )*[tex]\pi[/tex]

4[tex]\pi[/tex] ( the entire upper hemisphere )

area of the triangle is  1/2* 4 *4 = 8

then the exact area of the parts of the circle would be

4[tex]\pi[/tex] - 8    

Answer:

Exact Area = 24pi square cm

Approximate Area = 75.36 square cm  (when using pi = 3.14)

Note: "square cm" can be abbreviated to "cm^2" without quotes.

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

Explanation:

Let's find the area of the full circle with radius r = 12

A = pi*r^2

A = pi*12^2

A = 144pi  

This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).

We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.

In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6

(144pi)/6 = (144/6)pi = 24pi

The exact area of the pie slice is 24pi square cm

If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm

Answer:

(-4, -8)

Step-by-step explanation:

Note that x in terms of y is x = 2y + 12.  Substitute 2y + 12 for x in the second equation:

5(2y + 12) + 3y = -44

or

10y + 60 + 3y = -44

Then 13y= -104, and y = -8

From the first equation we find x = 2(-8) + 12, or x = -16 + 12, or x = -4

Then the solution is (-4, -8)

Answer: She ran 7 3/5 miles on the two days

Step-by-step explanation

Miles ran by Deborah on Monday =32/5 miles

Miles ran by Deborah on Tuesday = 41/5 miles'

Total miles ran by Deborah on the two days

=3 2/5 +4 1/5

=7   2+1 /5

=7 3/5 miles

Answer:

your answer is going to be B: Obtuse

Answer:

(x,y) = (7,2)

Step-by-step explanation:

Hope it helps

Answer:

The right solution is "3.29, 3.57".

Step-by-step explanation:

Seems that the given problem is incomplete. Below is the attachment of the complete and appropriate query.

The given values are:

Randomly selected adults,

[tex]n = 105[/tex]

Mean,

[tex]\bar{x} = 3.42[/tex]

Standard deviation,

[tex]s = 0.75[/tex]

Now,

At 95% confidence level if given by,

=  [tex]\bar{x} \ \pm \ Z_{\frac{\alpha}{2} }\times \frac{s}{\sqrt{n} }[/tex]

On putting the given values, we get

=  [tex]3.42 \ \pm \ Z_{\frac{0.05}{2} }\times \frac{0.75}{\sqrt{105} }[/tex]

=  [tex]3.42 \ \pm \ 1.96\times 0.073[/tex]

=  [tex]3.42 \ \pm \ 0.143[/tex]

=  [tex]3.29, 3.57[/tex]