Answer:
2036Step-by-step explanation:
Given the population of a city is modeled by the exponential function
ƒ (x) = 689,254 · 2.4e^0.014x, where x is the number of years after 2000
In order to determine the year that the city's population will exceed one million, we will substitute f(x) = 1,000,000 and find x first as shown:
1,000,000 = 689,254 2.4e^0.014x,
1000000/689,254 = 2.4e^0.014x,
1.4508 = 2.4e^0.014x,
1.4508 /2.4 = e^0.014x,
0.6045 = e^0.014x,
Apply ln to both sides
ln 0.6045 = lne^0.014x,
-0.5033 = 0.014x
x = -35.95
Since x cannot be negative, lets say x ≈ 36years
This means that the population will exceed one million after about 36 years. The year it will exceed this amount will be 2000+36 = 2036
Note that the exponential equation used was not correctly written but the same calculation can be employed for any exponential functions you might have.
What is the value of x?
Answer:
x ≈ 6.8
Step-by-step explanation:
since all angles in a triangle add up to 180º:
8x-4+17x-23+3x+17=180
28x-10=180
28x=190
x ≈ 6.8
Find the slope of the line passing through the points (-2, -7) and (3, 5).
Answer: The slope is 12/5
Step-by-step explanation:
You go up 12 from the point ( -2, -7) and then go over 5
At 4:00 AM, the temperature is – 12 °F. If the temperature drops 3 °F per hour, what will the temperature be at 6:00 AM?
Answer:
-18°F
Step-by-step explanation:
Starting temp = -12
Every hour temp drops by 3
Total elapsed hours = 2
3(2) = 6 total degrees dropped
-12 - 6 = -18 degrees F
Answer:
it will be -6f at 6:00am
Step-by-step explanation:
Help pleasssseeee????
Which of the following graphs is not a function?
a.
On a coordinate plane, a parabola opens up and goes through (negative 2, 1), has a vertex at (0, 0), and goes through (2, 1).
c.
On a coordinate, a cubic root function approaches y = negative 3 and y = 3.
b.
On a coordinate, plane a cubic root function approaches x = negative 3 and x = 3.
d.
On a coordinate plane, a parabola opens to the right and goes through (1, 1), (0, 0) and (1, negative 1).
Answer: x=1
Step-by-step explanation:
5,674,178,209,889.86 nearest hundred million
Answer:
5,674,200,000,000
Step-by-step explanation:
I just need help with this one problem
Answer:
Age of Nicole x= 24 years
Age of Donald = y = 48 years
Step-by-step explanation:
Suppose x represents Age of Nicole in years and y represents age of Donald in years
Sum of their ages is 72, therefore
[tex]x+y=72[/tex] -------------- (1)
Nicole is half as old as Donald
[tex]x= \frac{y}{2}[/tex] ------------------ (2)
Substitute x=y/2 in equation (1)
[tex]\frac{y}{2} +y = 72 \\3y = 2(72) \\y = \frac{144}{3} \\y= 48 \ years[/tex]
Now put y=48 in equation (2)
[tex]x =\frac{48}{2} \\x=24[/tex]
A group of nine friends go to a baseball game. The group buys 6 hotdogs and 3 hamburgers for a total of $27.75. A hamburger costs $1.75 more than a hot dog. What is the cost of a hamburger?
Answer:
let x be cost of a hotdog
let y be cost of hamburger
so,
5x + 4y = 17.75 eq. 1
4x + 5y = 18.25 eq. 2
manipulate eq. 1 so solve for x:
5x = 17.75 - 4y
x = 17.75/5 - (4/5)y
x = 3.55 - (4/5)y eq. 3
substitute eq. 3 to eq. 2:
4(3.55 - (4/5)y) + 5y = 18.25
14.2 - (16/5)y + 5y = 18.25
14.2 + (9/5)y = 18.25
(9/5)y = 18.25 - 14.2
4.05= (9/5)y
y = 2.25
x = 3.55 - (4/5)(2.25)
x = 1.75
hotdog costs $1.75
hamburger costs $2.25
Step-by-step explanation:
Mrs. Jordan combined a box of 32 red pencils with a box of 26 blue pencils. Then, Mrs.
Jordan gave each of her 5 students the same number of pencils. How many pencils
remained after Ms. Jordan divided the pencils equally among her students
Answer:
11.6
Step-by-step explanation:
1). (-6p - 8) - (2p - 6) =
2). (-8r - 2) + (4r - 3) =
3). (-z - 8) - (6z - 5) =
4). (-s - 5) + (-2s + 2) =
5). (-7s + 4) - (-8s + 4) =
6). (-4f + 9) - (8f + 9) =
7). (-8f) + (-f + 8) =
8). (4p - 4) + (-7p - 7) =
9). (7v - 9) - (6v + 9) =
10). (-3g) + (5g - 5) =
Please help me answer 1-10 please I really need it now and please actually answer the question !!!
Answer:
1.-8p-2
2.−4r−5
3.−7z−3
4.-3s-3
5. 1s
I got lazy to do the rest sorry :D
what is the equation of the following line?
Answer:
y = -3x
Step-by-step explanation:
What's the answer - 0.5(4x - 5) > 7 Pls.
Answer:
-2x+2.5 > 7
Step-by-step explanation:
Im not sure what you mean by the answer because there are no answer choices so i jus simplified for you
Please help me with acellus
Answer:
66
Step-by-step explanation:
angle 1 and 4 are supplementary so the 2 added together equal 180. 180-124=56.
The sum of the triangles angles equal 180
180-56-58=66 which is the value of angle 2
dos números que
tengan una diferencia
de 8.
Answer:
10-2
Step-by-step explanation:
El número 10 y 2 tienen la diferencia de 8.
Find the inequality represented by the graph.
Answer:
y>4x-2
Step-by-step explanation:
First let us find the equation of the line.
Given points (1,2) and (0, -2), the slope would be
(2-(-2))/(1-0) = 4/1= 4
The intercept is at -2, so the full equation would be
y=4x-2
However, we need to find the inequality of the graph. Everything greater than our line/above our line is included. Also notice that the line is dotted, which means that the line itself is not included.
Our equations should be,
y>4x-2
I hope this helps! :)
Answer and explanation.
Answer:
you have to change the 145* to 110* and flip it to the idol point in x
Step-by-step explanation:
hope this helps, I was just doing this
Answer:
The polygon is a pentagon and it has 5 sides so use the formula to find the sum of the interior angles that is (n-2)×180°.so,
(5-2)×180 = 540°
540-145-110-105-100 = 80°
so the answer is 80°
need hep wit this thx
Answer:
answer is 3
Step-by-step explanation:
n+1=3+2/2=3
The number is 3 and it is a odd number.
I hope it's helpful!
Which statement from "Ain't I a Woman?" is an example of pathos?
Well, children, where there is so much racket there must be something out of kilter.
That man over there says that women need to be helped into carriages, and lifted over ditches, and to have the best place everywhere.
I have borne thirteen children, and seen most all sold off to slavery, and when I cried out with my mother’s grief, none but Jesus heard me!
If my cup won’t hold but a pint, and yours holds a quart, wouldn’t you be mean not to let me have my little half-measure full?
Answer:
The answer is C
Step-by-step explanation:
I just took the test, got it wrong, just so I could answer this, I answered b, but it's c
Answer:
C is the answer :)
Step-by-step explanation:
got it right on the test
if tan theta= -0.87, find cot
Answer:
Step-by-step explanation:
[tex]cot(\frac{\pi }{2} -\theta)=tan \theta=-0.87[/tex]
or second method
[tex]\cot(\frac{\pi }{2} -\theta)=\frac{1}{\tan(\frac{\pi }{2} -\theta)} =\frac{1}{\frac{\tan\frac{\pi }{2} -\tan \theta}{1+\tan \frac{\pi }{2 } \tan \theta} } =\frac{1+\tan\frac{\pi }{2} \tan \theta}{\tan\frac{\pi }{2} -\tan \theta} \\(divide~the~numerator~and~denominator~by~\tan\frac{\pi }{2} )[/tex]
[tex]=\frac{\cot\frac{\pi }{2} +\tan\theta}{1-\cot\frac{\pi }{2} \tan\theta} \\=\frac{0+\tan \theta }{1-0*\tan\theta} \\=\tan \theta\\=-0.87[/tex]
Find the output, y, when the input, x, is -5.
Answer:
y = - 2
Step-by-step explanation:
When x = - 5 so, y = - 2
Hope it helps you in your learning process.
Write the equation in point slope form for the line that contains the points (-2,-3), (4,3)
Answer:
y + 3 = 1 ⋅ (x + 2).
Step-by-step explanation:
Find the equation using point-slope formula.
Slope-intercept form:
y = x − 1
Point-slope form:
y + 3 = 1 ⋅ (x + 2)
The total surface area of this cuboid is 112cm^2. Find the value of x.
Please explain, don’t just give the answer.
Answer:
The value of x is 3
Step-by-step explanation:
Let us study the face of the cuboind
∵ The cuboid has 6 rectangular faces
∵ Each opposite faces area equal in areas
∴ 2 faces of dimensions 10 cm and 2 cm
∴ 2 faces of dimensions 10 cm and x cm
∴ 2 faces of dimensions 2 cm and x cm
∵ The total surface area of the cuboid is the sum of the areas of the 6 faces
∵ The area of the rectangle = length × width
∴ The total surface area = 2(10 × 2) + 2(10 × x) + 2(2 × x)
∴ The total surface area = 2(20) + 2(10x) + 2(2x)
∴ The total surface area = 40 + 20x + 4x
→ Add the like terms 20x and 4x
∴ The total surface area = 40 + 24x
∵ The total surface area of this cuboid is 112 cm²
→ Equate the two sides of the total surface area
∴ 40 + 24x = 112
→ Subtract 40 from both sides
∵ 40 - 40 + 24x = 112 - 40
∴ 24x = 72
→ Divide both sides by 24
∴ x = 3
∴ The value of x is 3
Answer:
= 3
Step-by-step explanation:
(easier way to solve it)
x = L, 10 = B, 2 = W
L x B
x 10 = A1
L x W
x 2 = A2
B x W
10 x 2 = 20 (A3)
= 112cm^2 / 2 = 56cm - 20 = 36
3 x 10 = 30
3 x 2 = 6
30 + 6 = 36
36 + 20 = 56cm
56cm x 2 = 112cm^2
(i hope this actually makes sense, things work differently in my mind)
18. The half-life of a radioactive isotope is 7 years.
Initially, there are 100 grams of the isotope.
Which expression shows the amount of the isotope
remaining after x years?
Answer:
100(0.5)^X/7
Step-by-step explanation:
That is how you would put it ;)
A video store’s regular price of a video is $25.95, and it’s on sale for 25% off. What is the cost of the video after the discount is applied?
A.$32.44
B.$6.49
C.$19.46
D.$25.75
Hurry Please!
Answer:
Hi there, Your answser will be C
Hope this helps
HELP PLEASE
Write an equation for the line in slope-intercept
form.
Answer:
y=2x+5
Step-by-step explanation:
slope intercept form is represented by: y=mx+ c
where, m is slope
c is y intercept.
solve for extra points and brainlist
Answer:
ポイント
Step-by-step explanation:
ポイント
Please help me ASAP...
Answer: 20% of the teachers are from district M
There are 50 teachers from district M, so bar M is 50 units tall.
=======================================================
Work Shown:
Let's add up the bar heights of the bars shown in the chart.
J+K+L+N = 50+80+30+40 = 200
So 200 teachers are from districts J,K,L, or N.
We're told that 250 total teachers attended. This must mean M = 50. We're effectively solving 200+M = 250.
So you'll need to draw a bar over M such that it is 50 units tall. This will complete the chart.
Because there are 50 teachers from district M, out of 250 total, we can then compute the percentage to get
50/250 = 0.20 = 20%
So 20% of the teachers are from district M.
plsssssssssssssssss help
Which of the following is not a Pythagorean triple?
Answer:
B
Step-by-step explanation:
What will the denominator for this problem be?
10
15
9
8
Answer: Your Answer will be 15, 3 x 5 equals 15. And 5 x 3 equals 15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
you multiply the two numerators to get 8 and the two denominators to get 15, so your fraction will be 8/15
