True or false: Least squares regression problems always have a unique solution, since they are modelled by the normal equation

Answer:

15. 41.68 inches

16. 78.79°

Step-by-step explanation:

It's a little hard to explain in just text, but I'll try.

15 ================

This is assuming that "length" means the base of the ramp, not the top. Imagine/draw a right triangle with a 21° angle at the bottom and a height of 16 inches. We have the angle, the opposite side, and we need to find the adjacent side that is the base. Use tangent (soh cah toa) to find this.

[tex]tan(21)=\frac{16}{x} \\xtan(21)=16\\x=\frac{16}{tan(21)}[/tex]

x ≈ 41.68

16 ================

From the angle between the ladder and the ground, the ground is adjacent and the ladder is the hypotenuse. Given 2 sides and no angle, we'll use inverse cosine.

[tex]cos^{-1}(\frac{7}{36})=x\\[/tex]

x ≈ 78.79°

Answer:

Elena is incorrect.

Step-by-step explanation:

In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.

If I'm correct, the scale copy should be 2.

∴/therefore, if it doesn't go through point D, Elena is incorrect.

Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯

-❤AbqveNatural❤

Answer:

Step-by-step explanation:

[tex]\frac{6}{4.5}=\frac{4}{x}[/tex]

6x = 4 × 4.5

6x = 18

x = 3

Answer:

y = |x+6|

Step-by-step explanation:

To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.  

If we are shifting 6 units to the left, h = -6.  Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|

Answer:

c

Step-by-step explanation:

Line EG bisects angle DEF

Answer:

3 and 2

Step-by-step explanation:

3+2=5

3-2=1

Hope this helps!!

Answer:

  y = -1.2x² +6.6x +2

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...

  y = -1.2x² +6.6x +2

_____

If you want to do this by hand, put the given (x, y) values into the formula ...

  ax² +bx +c = y

and solve the resulting system of equations.

The third point tells you c=2, so you can simplify the system of equations to ...

  a(-2)² +b(-2) +2 = -16   ⇒   4a -2b = -18   ⇒   2a -b = -9

  a(3)² +b(3) +2 = 11   ⇒   9a +3b = 9   ⇒   3a +b = 3

Adding these equations together gives ...

  (2a -b) +(3a +b) = (-9) +(3)

  5a = -6 . . . . . . . . simplify

  a = -1.2 . . . . . . . divide by 5

  b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation

Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...

  y = -1.2x² +6.6x +2

Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = [tex]\sqrt{592}[/tex]

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

Answer: its an enlargement and when it enlarges A goes up 6 and moves to the right 3 spaces P stays the same b also moves to the right 6 spaces

so in conclusion answers are

A'=(8,5)

B'=(-2,10)

Step-by-step explanation:

i hopes this helps if it doesn't I'm very sorry i tried helping the best i can :|

Answer:

3 or 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]

(1 , -3) & ( 1 , 0)

The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.

Slope is undefined.

3) (0,2)  , (4 , 0)

[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

False

9 + 13 = 31

22 ≠ 31

Answer:

22

Step-by-step explanation:

po ang tamang sagon po

Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute values and solve for OS:

Correct choice is B

Answer:

m = -3

c = 2

Step-by-step explanation:

if m = slope and c = y-intercept:

Convert to slope - intercept form : y = mx + b, or y = mx + c

2y + 6x = 4

2y = -6x + 4

y = -3x + 2

(m)Slope = -3

(c)y - intercept = 2

-Chetan K

Step-by-step explanation:

kruitika- 42

Gordorn-31

so krutila was 11 when they gave birth to Gordon

she was 23 when they gave birth to pip

The youngest of them is pip so pip is =19

The volume of a cone is (1/3)πr2h.

In this problem r=2h or h=(1/2)r

Hence V = (1/6)πr3

dV/dt = (1/2)πr2 dr/dt

With this information you should now be able to answer the question. Remember the relation between r and h!

never mind i was right

im also so sorry if you dont understand or its not one of the answers

Answer:

t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?

Step-by-step explanation:

Answer:

6^4

Step-by-step explanation:

6^2*6^9/6^7

6^(2+9)/6^7

6^(11-7)

6^4 or 1296

Answer:

900 seconds I believe

Step-by-step explanation:

60*6= 360

9*60=540

540+360=900

Answer:

Step-by-step explanation:

18.

LHS

[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]

= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]

= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]

= [tex]cot^{2}a.cot^{2}b[/tex] - 1

Then you can conclude that LHS = RHS

19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.

Answer:

2038 that's a answer po because hindi kasali ang 10

The exponent is represented as [tex]A=2*10^{4}[/tex] where the resulting quotient has 10 raised to the power of 4.

Given data:

To perform the given division of  [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex] , we can use the properties of exponents and arithmetic operations.

When dividing numbers with the same base (in this case, 10), we subtract the exponent in the denominator from the exponent in the numerator:

So, the exponent is represented as A.

The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.

Now, the value of  [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex].

Now, simplify the exponent expression:

[tex]A=\frac{4*10^{2+2}}{2}[/tex]

[tex]A=2*10^{4}[/tex]

Hence, the exponential form is [tex]A=2*10^{4}[/tex].

To learn more about exponential form, refer:

https://brainly.com/question/29337692

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Answer:

Can you pls give a bit more information.

Step-by-step explanation:

Answer:

forty six hundred thousand tweny five thound and six hundred eighty nine

six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty

Step-by-step explanation:

Answer:

6 ft/s

Hope I helped

here is answer

- BRAINLIEST answerer

The ∆ABC ~ ∆DEF by AA similarity Criteria.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Two angles in ∆ABC and their equivalent angles in DEF are congruent.

Hence, it follows that the triangles' third pair of angles would likewise be similar.

So, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

Then here the AA Similarity Criterion will be used.

Thus, ∆ABC ~ ∆DEF by AA Similarity rule.

Learn more about similarity here:

https://brainly.com/question/25502802

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