The annual profits for a company are given in the following table, where x represents
the number of years since 2013, and y represents the profit in thousands of dollars.
Write the linear regression equation that represents this set of data, rounding all
coefficients to the nearest hundredth. Using this equation, find the projected profit
(in thousands of dollars) for 2023, rounded to the nearest thousand dollars.
Years since 2013 (x)
Profits (y)
(in thousands of dollars)
0
57
76
2
63
3
107

Answer:

5.03secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

y = -16x^2 + 161x + 108

The rocket reaches it max height when its velocity is zero

Velocity is expressed as;

V(x) = dy/dx  = 0

dy/dx = -32x + 161

0 = -32x + 161

32x = 161

x = 161/32

x = 5.03

Hence it will take 5.03secs for the rocket to reach its maximum height

Answer:

341 matches

Step-by-step explanation:

Given

[tex]Players = 342[/tex]

[tex]Match = 2\ players[/tex]

Required

Total number of matches.

The total number of matches is calculated by getting the number of matches in each round.

i.e.

[tex]Matches = \frac{Players}{2}[/tex]

So, we have:

Round 1

[tex]Matches = \frac{342}{2} = 171[/tex]

Round 2

[tex]Matches = \frac{171}{2} = 85\ R\ 1[/tex] [R 1 means remainder 1]

Round 3

[tex]Matches = \frac{85 + 1}{2} = \frac{86}{2} = 43[/tex]

[The remainder is added to each round]

Round 4

[tex]Matches = \frac{43}{2} = 21\ R\ 1[/tex]

Round 5

[tex]Matches = \frac{21+1}{2} = \frac{22}{2} = 11[/tex]

Round 6

[tex]Matches = \frac{11}{2} = 5\ R\ 1[/tex]

Round 7

[tex]Matches = \frac{5+1}{2} = \frac{6}{2} =3[/tex]

Round 8

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

Round 9

[tex]Matches = \frac{1+1}{2} =\frac{2}{2} = 1[/tex]

So, the total is:

[tex]Total = 171 + 85 + 43 +21 + 11 + 5 + 3 + 1+1[/tex]

[tex]Total = 341[/tex]

Answer: 120.

Step-by-step explanation: $30 divided by $0.25

Answer:

x≤14

Step-by-step explanation:

≤ = greater than/equal to(at least)

Answer:

x=65 degrees

Step-by-step explanation:

It's a right angle because a line is equal to 180* and one side is a right angle so the other is one as well so 90*-25*=65*

Answer:

x = 14.4

Step-by-step explanation:

First of all, the triangle has three sides, so let's use hero's formula to find the area.

A = √[p(p - a)(p - b)(p - c)]

Where;

a, b and c are the 3 given sides of the triangle and;

p = (a + b + c)/2

p = (18 + 30 + 24)/2

p = 72/2

p = 36

Thus;

A = √(36(36 - 18)(36 - 30)(36 - 24))

A = √46656

A = 216 Sq.units

Now, we also know from general formula of a triangle that;

A = ½bh

Where;

b is base and h is height

In the given image;

b = 30

h = x

Thus;

½ × 30 × x = 216

Rearranging, we have;

x = 216 × 2/30

x = 14.4

Answer:

the answer is 15

Step-by-step explanation:

Just add

Answer:

15 grams

Step-by-step explanation:

Answer/Step-by-step explanation:

Part A:

(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)

Solve for x

6x + 2 + 8x + 6 + 7x + 4 = 180

Add like terms

21x + 12 = 180

21x + 12 - 12 = 180 - 12

21x = 168

21x/21 = 168/21

x = 8

Part B:

Method 1:

m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)

m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)

Plug in the value of x

m<CFD + 6(8) + 2 + 8(8) + 6 = 180

m<CFD + 48 + 2 + 64 + 6 = 180

m<CFD + 120 = 180

m<CFD + 120 - 120 = 180 - 120

m<CFD = 60°

Method 2:

m<CFD = m<AFE (vertical angles are congruent)

m<CFD = (7x + 4)° (substitution)

Plug in the value of x

m<CFD = 7(8) + 4

m<CFD = 60°

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

Answer:

2.83

Step-by-step explanation:

Please give brainliest

Answer:

2.83

Step-by-step explanation:

Answer:

the third one is the correct answer

[tex]b { }^{ - 16} [/tex]

Step-by-step explanation:

hope the helps

Answer:

b to power of -16

Step-by-step explanation:

Answer:

The answer to the question provided is 4.

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: 9x + 4 = 5x + 20 \\ \frac{ - 5x = - 5x}{4x + 4 = 20} \\ \frac{ \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{4x}{4} = \frac{16}{4} } \\ x = 4[/tex]

[I apologize if the answer to the question is inaccurate]

Answer:

7/5 simplified

Step-by-step explanation:

Its 7/5 Trust

Brainliest please!

Answer:

14/10 or 7/5

Step-by-step explanation:

Answer:

C.8n=56

Step-by-step explanation:

Answer:

1/64 for each type f flowe

Step-by-step explanation:

Answer:

K=  -11

Step-by-step explanation:

Step-by-step explanation:

area of traingle formed on right= 1/2*base*height

=1/2*5*6

= 15mi²

Answer:

B

Step-by-step explanation:

The volume of a prism is the area of the cross section x length

The area of the cross section:

Area of a triangle = [tex]\frac{base * height}{2}[/tex]  so [tex]\frac{6*4}{2} = 12[/tex]

12 x 16 = 192 so B

Answer:

Step-by-step explanation:

Answer:

4d - c + 3

4(6) - 3 + 3

24 - 3 + 3

24

Step-by-step explanation:

24

Hope this helps :T

Answer:

x[tex]\leq[/tex]1

Step-by-step explanation:

Answer:

D) 4(x - 6)(x + 1)

Step-by-step explanation:

(2x - 5)(2x - 5) = 4x² - 20x + 25

7(7) = 49

4x² - 20x + 25 - 49

4x² - 20x - 24

4(x² - 5x - 6)

4(x - 6)(x + 1)

Answer:

n(A) = 5

Step-by-step explanation:

The cardinality of a set is the total number of elements in the set

Given the set

A = {a,e,i,o,u}

The total number of letters we have in the set is 5 i.e. a, e, i ,o and u. Hence the cardinality of the set A is 5. This can also be written as n(A) = 5

The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.

Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length x.

Now, by the intersecting chord theorem,

16×4 = x × x

or

x ² = 64

so that

x = 8

Answer: There are 9 mangoes left in the basket.

Step-by-step explanation:

(2/5) * 15 = 6.

15 - 6 = 9.

Answer:

42 + 6w

Step-by-step explanation:

Basically,

6(8+w) is 6 x (8+w)

OR 6(8) + 6(w)

Hence 42 + 6w

Answer:

the correct answer is C

Step-by-step explanation: