The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 160.4ekt, where t represents the year, with t = 0 corresponding to 2000. In 2007, the population of the city was about 162,075. Find the k value

Answer:

336

Step-by-step explanation:

The exclamation mark in math represents the factorial operation, which means you multiply the number by decreasing positive integers.

Therefore:

5! = 5 x 4 x 3 x 2 x 1 = 120.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

8!/5! = 40320/120

40320/120 = 336

Answer:

x = - 11

Step-by-step explanation:

u and v are parallel if you  have equal alternate interior angles .

that is ,

x + 111 = 100

x = 100 - 111

x = - 11

Answer:

Step-by-step explanation:

area of semi circle=πr^2/2

=3.14*(2.4)^2/2

=3.14*5.76/2

=18.0864/2

=9.0432 cm^2

Answer:

72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²

Step-by-step explanation:

Area of whole circle is [tex]\pi r^{2}[/tex]

[tex]\pi[/tex]×2.4² = 144/25[tex]\pi[/tex] cm² or 18.09557368... cm²

Since it is a semi-circle, divide this value by 2 (or multiply by 0.5, either way, your halving it):

144/25[tex]\pi[/tex] ÷ 2 = 72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²

Answer:

its the first answer.

hope this helps you a lot.

Chord is a line that joins any two points on the circle

AC,BC

OPTION A is the correct answer

Answer:

(x-5) (x+9)

Step-by-step explanation:

what multiplies to -45 but adds to positive 4?  -5 and 9. that's how you get (x-5) (x+9)

Answer:

841.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because angles SQR and RQT are central angles, they are congruent to the arcs they intercept. This means that arc SR = 101 and arc RT = 118, making the whole major arc SRT = 219. That means that the minor arc, ST is 360 - 219 which is 141. We are looking in particular for the measure of angle SRT. It just so happens that angle SRT is an inscribed angle, so by definition it is one-half the measure of the arc it intercepts. It intercepts arc ST which we found measures 141, so angle SRT is 141/2 = 70.5

Given:

[tex]f(1)=7[/tex]

[tex]f(n)=3f(n-1)+3[/tex]

To find:

The value of f(3).

Solution:

We have,

[tex]f(n)=3f(n-1)+3[/tex]               ...(i)

Substituting [tex]n=2[/tex] in (i), we get

[tex]f(2)=3f(2-1)+3[/tex]

[tex]f(2)=3f(1)+3[/tex]

Substituting [tex]f(1)=7[/tex] in the above equation, we get

[tex]f(2)=3(7)+3[/tex]

[tex]f(2)=21+3[/tex]

[tex]f(2)=24[/tex]

Now, substituting [tex]n=3[/tex] in (i), we get

[tex]f(3)=3f(3-1)+3[/tex]

[tex]f(3)=3f(2)+3[/tex]

Substituting [tex]f(2)=24[/tex] in the above equation, we get

[tex]f(3)=3(24)+3[/tex]

[tex]f(3)=72+3[/tex]

[tex]f(3)=75[/tex]

Therefore, the value of f(3) is 75.

Answer:

2)   x² - 10x + 25

Step-by-step explanation:

(x - 5)(x - 5) = x² - 5x  -5x + 25

Combining like terms

x² - 10x + 25

Answer:

Should be $300

let me know if it's correct:)

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.

Answer:

If angle LMN is 63 degrees and angle LMO is 32 degrees and angle OMN + angle LMO is 63 degrees

we subtract 32 from 63 to find OMN

63-32 = 31

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

The biggest angle is 63 degrees, for find OMN we have to do

63 - 32 = 31 degrees

Answer:

r = 1/5

Step-by-step explanation:

Substitute x=15 and y=3 into the equation given.

Transpose so that r = 3/15

Simply 3/15

r = 1/5

Answer:

4.4/22 = .2

r=.2

Step-by-step explanation:

Answer:

Proportion of chocolate in biscuit tin = 5:7

Step-by-step explanation:

Given:

Number of chocolate in biscuit tin = 10

Number of shortbread biscuits in biscuit tin = 4

Find:

Proportion of chocolate in biscuit tin

Computation:

Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin

Proportion of chocolate in biscuit tin = 10 / [10 + 4]

Proportion of chocolate in biscuit tin = 10 / 14

Proportion of chocolate in biscuit tin = 5:7

Answer

X=25

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Similar triangles

8/20 = 6/(x+6)

==> 2/5 = 6/(x+6)

2/5x+12/5=6

2/5x=18/5

x=9

Answer:

x = 1

Step-by-step explanation:

-3 (7x + 7) = -38 - 4x

-3(7x)-3(7) = -38 - 4x

-21x - 21 = -38 - 4x

-21x+4x = -38+21

-17x = -17

x = -17/-17

x = 1

Answer:

x = 1.

Step-by-step explanation:

-3(7x + 7) = -38 - 4x

Use distributive property to get:

-21x - 21 = -38 - 4x

Add 4x to both sides to get:

- 17x - 21 = -38

Add 21 to both sides to get:

- 17x = -17

x = 1.

I hope this helps, have a nice day.

Answer:

s = 71

Step-by-step explanation:

Given that GJ is a midsegment of the triangle then it is half the length of the third side, that is

GJ = [tex]\frac{1}{2}[/tex] HI , so

s - 65 = [tex]\frac{1}{2}[/tex] (s - 59) ← multiply both sides by 2 to clear the fraction

2s - 130 = s - 59 ( subtract s from both sides )

s - 130 = - 59 ( add 130 to both sides )

s = 71

Answer:

5 x 2 - 8x + 4

5 x 2 - 24 + 4

10 - 24 + 4

-10

Answer: -10

Answer:

-5a+3b

Step-by-step explanation:

just adding and subtracting like terms

Answer:

3b-5a

Step-by-step explanation:

hope this helps:)

Answer:

x = 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL CONCEPT TO BE USED IN THIS QUESTION :-

Basic Proportionality Theorem -

If a line drawn parallel to one side of a triangle and intersects the other two sides at distinct points , it divides the other two sides in equal proportion.

SOLUTION :-

AD is the line drawn parallel to BC and intersects EB & EC at A & D respectively. By using Basic Proportionality Theorem , it can be stated that -

[tex]\frac{AE}{AB} = \frac{DE}{DC}[/tex]

[tex]=> \frac{16}{5x + 2} = \frac{12}{24}[/tex]

[tex]=> \frac{16}{5x + 2} = \frac{1}{2}[/tex]

[tex]=> 5x + 2 = 16 \times 2 = 32[/tex]

[tex]=> 5x = 32 - 2 = 30[/tex]

[tex]=> x = \frac{30}{5} = 6[/tex]

Answer:

793

Step-by-step explanation:

x=2, y =3

8x³+27y³ = 64 + 729 = 793

Applying the intersecting chords theorem, the possible lengths of JM and TM could be: 16 and 7.5.

The intersecting chords theorem states that product of the divided segments of each intersectint chords are equal to each other.

Based on the intersecting chords theorem, we would have:

(EM)(RM) = (JM)(TM)

If JM and TM are 16 and 7.5 respectively, we would have:

(8)(15) = (16)(7.5)

120 = 120

The lengths of JM and TM could therefore be: 16 and 7.5.

Learn more about the intersecting chords theorem on:

https://brainly.com/question/13950364

#SPJ2

Answer:

16 and 7.5

Step-by-step explanation:

Answer: pretty sure it is 201 tiles

please mark me brainlies. That would be helpful

Answer:

Robert can feed 13 cats.

Step-by-step explanation:

To solve this we simply divide.

3.38 divided by 0.26 = 13

Therefore Robert can feed 13 cats.