Answer:
The k value is [tex]k = 0.0015[/tex]
Step-by-step explanation:
Population:
The population P(in thousands), of the city, in t years after 2000, is given by the following equation:
[tex]P(t) = 160.4e^{kt}[/tex]
In 2007, the population of the city was about 162,075.
This means that [tex]P(7) = 162.075[/tex], that is, when [tex]t = 7, P(t) = 162.075[/tex]
Find the k value
[tex]P(t) = 160.4e^{kt}[/tex]
[tex]162.075 = 160.4e^{7k}[/tex]
[tex]e^{7k} = \frac{162.075}{160.4}[/tex]
[tex]\ln{e^{7k}} = \ln{\frac{162.075}{160.4}}[/tex]
[tex]7k = \ln{\frac{162.075}{160.4}}[/tex]
[tex]k = \frac{\ln{\frac{162.075}{160.4}}}{7}[/tex]
[tex]k = 0.0015[/tex]
The k value is [tex]k = 0.0015[/tex]
-3 (7x + 7) = -38 - 4x
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.
WILL GIVE BRAINLIEST
Answer:
Should be $300
let me know if it's correct:)
SOMEONE PLEASE HELP ME I DONT KNOW HOW TO DO THIS TYPE OF PROBLEM
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
simplify
3a + 2b - 8a + b
Answer:
-5a+3b
Step-by-step explanation:
just adding and subtracting like terms
Answer:
3b-5a
Step-by-step explanation:
hope this helps:)
HELP NOWhhhhhhhhhhhhhhhhhhhhhhh
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:
Find the following
[tex]2x + 3y = 13[/tex]
[tex]xy = 6[/tex]
find
[tex]8 {x}^{3} + 27 {y}^{3} [/tex]
Answer:
793
Step-by-step explanation:
x=2, y =3
8x³+27y³ = 64 + 729 = 793
Amy deposits $8000 into an account that pays simple interest at a rate of 2% per year how much interest will she be paid in the first 4 years?
In a biscuit tin, there are 10 chocolate and 4 shortbread biscuits. What proportion are, a) Chocolate ?
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
Find the value of x that will make line u parallel to line v. Show all of your work
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
The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?
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.
Determine the value for x in the picture below.
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
Help on this anyone?
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
2. Which trinomial below is equivalent to the square of the binomial x-5?
(1) x² + 25
(3) x? - 25
(2) x² -10x+25
(4) x?-10x – 25
Answer:
2) x² - 10x + 25
Step-by-step explanation:
(x - 5)(x - 5) = x² - 5x -5x + 25
Combining like terms
x² - 10x + 25
How many tiles would be in figure 100? Help :/
Answer: pretty sure it is 201 tiles
please mark me brainlies. That would be helpful
If f(1)=7 and f(n)=3f(n-1)+3 then find the value of (3)
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.
Find the Ares of a semi circle whose radius is 2.4 cm
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
What is the area of this cube 6 4 5
need help? will get brainlylist
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
What is the value of the expression 5x2-8x+4 when x = -3
Answer:
5 x 2 - 8x + 4
5 x 2 - 24 + 4
10 - 24 + 4
-10
Answer: -10
When a fair die is rolled, find the probability of rolling the following:
2 or 6
What is the complete factorization of x2 + 4x − 45?
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)
Question and choices are in the photo please explain the answer
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
16. Show your work and check your answer(s).
√2x-1+7=4
Answer
X=25
Step-by-step explanation:
PLEASE HELPP
use the spinner to find the odds in favor of stopping on a multiple of 6
PLEASE HELP I'LL GIVE BRAINLIEST
Answer:
841.8
Step-by-step explanation:
Robert has 3.38 pounds of cat food he uses 0.26 of cat food to feed one cat how many cats can Robert feed with the cat food he has
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.
GELPPPPPP
(1) Distributive property
(2) Associative property
(3) Addition property of equality
(4) Division property of equality
Question 19:
1 point
In the diagram below of circle O, chords JT and ER intersect at M.
E
М.
M
ºo
R
If EM = 8 and RM = 15, the lengths of JM and TM could be
(1) 12 and 9.5
(3) 16 and 7.5
(2) 14 and 8.5
(4) 18 and 6.5
Applying the intersecting chords theorem, the possible lengths of JM and TM could be: 16 and 7.5.
What is the Intersecting Chords Theorem?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:
GJ is a midsegment of △HIK. If HI=s–59 and GJ=s–65, what is the value of s?
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
Solve for X enter your answer in the box
Answer:
x = 6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
GIVEN :-
AD ║ BCAE = 16 unitsAB = 5x + 2 unitsDE = 12 unitsDC = 24 unitsTO FIND :-
Value of xGENERAL 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]