The population is modeled with an exponential equation, and using what we know about exponential equations we will see that:
A) P(0) = 29,816,591B) the growth factor is 1.0128C) 1.28%D) P(17) = 37,013,551.9How to identify the parts of the exponential equation?
Here we have the exponential equation:
P(t) = 29,816,591*(1.0128)^t
A) The population in 1990 will be given by P(0), this is:
P(0) = 29,816,591*(1.0128)^0 = 29,816,591
B) For an exponential:
A*(b)^x
We can rewrite it as:
A*(1 + r)^x
In this case, b is the growth factor, so in our function, the growth factor is 1.0128
C) Using the above notation, the percent increase by year is given by 100% times r, so first let's get the value of r.
r = b - 1 = 1.0128 - 1 = 0.0128
Then the percent increase is: 0.0128*100% = 1.28%
D) The year 2007 comes 17 years after 1990, so we need to evaluate the equation in t = 17, we will get:
P(17) = 29,816,591*(1.0128)^17 = 37,013,551.9
If you want to learn more about exponential equations, you can read:
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1. What is the constant rate of change of the table below?
Seconds
10
20
30
40
Meters
40
80
120
160
A. 2 meters per second
B. 4 meters per second
C. 8 meters per second
D. 10 meters per second
Answer:
Its B
Step-by-step explanation:
I did this before
which point on the number line represents the product (-4 )(-2)(-1)
Answer:
Shown in the image
Step-by-step explanation:
The number line
It's a graphic representation of the real numbers, usually centered at the value 0 and where the positive numbers running to the right, the negative numbers running to the left.
The product (-4)(-2)(-1) can be operated by multiplying the signs apart from the magnitudes. Recall an odd number of negative signs results in a negative number:
(-) * (-) * (-) = -
The product of the magnitudes is 4*2*1=8. Thus the result is -8.
The representation of this number is shown in the image below.
Answer:
Point A is your answer. ..
A bag contains 6 red, 5 yellow, and 3 black marbles. You select one
marble at random. What is the probability that it is a red or black
marble?
Answer:
The probability that it is a red or black marble is 0.6429, or 64.29%
Step-by-step explanation:
Frequentist Probability
The probability of an outcome is defined as the frequency of the number of ways the outcome occurs relative to the number of ways that it could have occurred.
The equation to calculate the probability is:
[tex]\displaystyle P(A)=\frac{m}{n}[/tex]
Where m is the number of ways the event A can occur and n is the total number of ways it could have occurred.
The bag contains 6 red, 5 yellow, and 3 black marbles. If one of them is randomly selected, it can be of any color from a total of n=6+5+3=14
Event A consists of the marble being red or black. It can be taken from m=6+3=9 marbles.
The probability is:
[tex]\displaystyle P(A)=\frac{9}{14}=0.6429[/tex]
The probability that it is a red or black marble is 0.6429, or 64.29%
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y=2x-3
y=-2x + 5
A. (-2,-7)
B. (2,-3)
C. (-2,5)
D. (2,1)
2x-3 = -2x + 5
4x = 8
x = 2
y = 2*2 - 3 = 1
(2 ; 1)
you have to draw the 2 lines
the solution will be the intersection point of the 2 lines
Answer:
[D] (2,1)
Step-by-step explanation:
Given;
y=2x-3
y=-2x + 5
Solve;
y = 2x - 3 . . . [Equation 1]
y = -2x + 5 . . . [Equation 2]
[Equating 1 and 2]
2x - 3 = -2x + 5
2x + 2x = 5 + 3
4x = 8
x = 8/4 = 2
x = 2
y = 2(2) - 3 = 4 - 3 = 1
y = 1
Solution = (2, 1)
Hence, Answer = [D] (2,1)
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A parabola opening up or down has vertex (4, -1) and passes through (-9, -181/12). Write its equation in vertex form
Answer:
y = -1/12(x -4)² -1
Step-by-step explanation:
The vertex form equation for a parabola is ...
y = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
The vertex coordinates are given. To find the scale factor, we substitute the given point.
-181/12 = a(-9 -4)² -1 . . . . . substitute the given values into the equation
-181/12 = 169a -1 . . . . simplify a bit
-169/12 = 169a . . . . add 1
a = -1/12 . . . . . . . multiply by 1/169
The vertex form equation of the parabola is ...
y = -1/12(x -4)² -1
If the table below represents a proportional relationship, what number will go in the empty box?
Answer:
The number will be 15
Hope you have a great day!
Answer:
15 is the correct answer
26 - 44 : 11 - 5*2- 2*(14:7) =
The answer to your question is Four
please help!! If y = sin x, then dy/dx =
Answer:
the answer is option B
Step-by-step explanation:
To find dy/dx the equation here is
first multipled by derivative of second + second multipled by derivative of first
y = x*sinx
dy/dx = x * derivative of sinx + sinx * derivative of x
derivative of x with respect to x is 1
derivative of sinx with respect to x is cosx
therefore
dy/dx = x * cosx + sinx * 1
= x * cosx + sinx
It's asking to solve for a1 but I don't really know how, please help.
[tex]C = \frac{1}{4}n( \: a(1) \: + \: a(2) \: ) \\ [/tex]
Multiply sides by 4
[tex]4 \times C = 4 \times \frac{1}{4}n( \: a(1) + a(2) \: ) \\ [/tex]
[tex]4C = n( \: a(1) + a(2) \: )[/tex]
Divided sides by n
[tex] \frac{4C}{n} = \frac{n}{n}( \: a(1) + a(2) \: ) \\ [/tex]
[tex] \frac{4C}{n} = a(1) + a(2) \\ [/tex]
Subtract sides - a (2)
[tex] \frac{4C}{n} - a(2) = a(1) + a(2) - a(2) \\ [/tex]
[tex] \frac{4C}{n} - a(2) = a(1) \\ [/tex]
[tex]a(1) = \frac{4C}{n} - a(2) \\ [/tex]
_________________________________
Done ♥️♥️♥️♥️♥️
A customer in Arizona, where sales tax is 5.6%, orders a Cheeze Pleeze Bites subscription that costs $5.40 every 2 months. How much sales tax is collected in a year?
A number line going from negative 60 to negative 50. An open circle is at negative 54. Everything to the right of the circle is shaded.
Which inequality has the solution set shown on the graph?
-54n < 1080
-54n > 1080
594 > -11n
594 < -11n
Answer:
594 > -11n
Step-by-step explanation:
The solution is
n > -54
Multiply both sides by -11:
-11n < 594
which is the same as
594 > -11n
Answer:
C
Step-by-step explanation:
The person above
 find the gradient of the line y=6x+4
Answer:
[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]
therefore: m=6
marco says the length of his desk is 0.85 meters Jason says
Answer:
Step-by-step explanation:
What Is 0.85 meters. 0.819 meters
Answer:Jason says what
Step-by-step explanation: we need the rest of the answer
Find a b if a = (4,3) and b =(4,5).
a. 31
C. (16,15)
b. (8,8)
d. -1
Answer:
answer is c.(16 , 15)
Step-by-step explanation:
Answer:
I did the test, C was wrong and A is the correct answer
Step-by-step explanation:
A. 31 is the correct answer
help................
The perimeter of a square is 24 inches. Complete the equation and solve to find the length of each side, s.
Answer:
s = 6
Step-by-step explanation:
We know a square has all equal side lengths. So we would divide the square by four to get one side length.
24/4 = 6
s = 6
What is 20 - 15 x 2026 - 265 + 125
Hey there!
Do PEMDAS to solve.
PEMDAS simply means….
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~
20 - 15 * 2026 - 265 + 125
≈ 20 - 30,390 - 265 + 125
≈ -30,370 - 265 + 125
≈ -30,635 + 125
≈ −30,510
Therefore, your answer is: -30,510
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
-30,510
Step-by-step explanation:
first multiply -15 and 2026
then you can add 125 or subtract everything before it and then add it to your result, if you need me to evaluate let me know
Which equation represents a nonproportional relationship?
A y = 1/3x
B y = 3x + 0
C y = 3x + 5
D y = −3x
is there NONE OF THESE ABOVE option?
Write the equation of the inequality graphed to the right:
Answer:
The answer to that equation might be (1,2)
Question is on a picture
Answer:
D. 10
Step-by-step explanation:
PLEASE HELP!! YOU'LL GET BRAINLIEST IF CORRECT!
Identify which quadrant contains the terminal side of an angle in standard position with each given degree measure. 75° 120° –30° –200°.
Answer:
75° quadrant 1
120° quadrant 2
-30° quadrant 4
-200° quadrant 2
The measure 75° is in Quadrant I, 120° is in Quadrant II, -30° is in Quadrant IV and -200° is in Quadrant III.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Angles in standard position are measured in a counterclockwise direction from the positive x-axis.
An angle of 75° is less than 90° and lies between the positive x-axis and the positive y-axis, so it is in Quadrant I.
An angle of 120° is greater than 90° and less than 180°, so it is between the positive y-axis and the negative x-axis, which means it is in Quadrant II.
An angle of -30° is equivalent to a 330° angle (360° - 30°) and lies in Quadrant IV because it is less than 360° and greater than 270°.
An angle of -200° is equivalent to a 160° angle (360° - 200°) and lies in Quadrant III because it is greater than 90° and less than 180°.
Hence, the measure 75° is in Quadrant I, 120° is in Quadrant II, -30° is in Quadrant IV and -200° is in Quadrant III.
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A polygon has 6 sides. one angle goes inside of the shape. which classifications apply to the polygon? check all that apply. convex concave regular hexagon octagon
The 6 sided polygon is called a hexagon and the polygon is an irregular concave hexagon.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Types of the polygon are as follows;
Convex polygon - In this polygon, all angles are less than 180 degrees. And it may be regular or irregular in shape. The diagonal does not intersect the sides of the polygon.Concave polygon - In this polygon, one angle is greater than 180 degrees. And it is generally irregular in shape. The diagonal intersects the sides of the polygon.The 6 sided polygon is called a hexagon and the polygon is an irregular concave hexagon.
More about the polygon link is given below.
https://brainly.com/question/17756657
Answer:
B and DStep-by-step explanation:
can anyone help me with this problem and show work. please and thank you !
Answer:
x=3+[tex]\sqrt{23}[/tex], x=3-[tex]\sqrt{23}[/tex]
Step-by-step explanation:
I will edit it in a minute
The angle measures 26°, 54°, and 154° are written on the slips of paper. You choose two slips of paper at random.
In the case of classical activation, which outcome is likely to occur?.
Classical activation should lead to an effective immune response against pathogens.
What is the classical activation pathway?This is the most common pathway in the immune system.
What does classical activation imply?This is triggered by specific antibody complexes that react to a potential pathogen.A set of proteins and specialized cells are activated to attack the pathogen.A membrane attack complex is created.What is the outcome?The desirable outcome of this system is an effective immune response against pathogens such as viruses and bacteria.
Learn more about pathogens in: https://brainly.com/question/13873423
factors of 4p^2 - 9q^2 are
Answer:
(2p + 3q)(2p - 3q)
Step-by-step explanation:
This is of the form :-
a² - b² = (a + b)(a - b)4p² - 9q² = (2p + 3q)(2p - 3q)
Answer:
(2p+3q) (2p-3q)
Step-by-step explanation:
[tex]4p^2-9q^2[/tex]
[tex]4p^2=(2p)^2[/tex]
[tex]4p^2=(3q)^2[/tex]
[tex]=\left(2p\right)^2-\left(3q\right)^2[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]\left(2p\right)^2-\left(3q\right)^2=\left(2p+3q\right)\left(2p-3q\right)[/tex]
[tex]=\left(2p+3q\right)\left(2p-3q\right)[/tex]
Answer = [tex]\left(2p+3q\right)\left(2p-3q\right)[/tex]
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HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!1
Answer: 5 seconds
Step-by-step explanation:
2/9 of the students in a school are in sixth grade. How many students are in the school if 54 of them are sixth graders?
Answer:
243
Step-by-step explanation:
Let s be the number of students in the school
2/9 of the students are in 6th grade
2/9 *s = 54
Multiply each side by 9/2
9/2 * 2/9 * s= 54 * 9/2
s =243
Help pleaseee. Picture attached
Answer:
.....I think it would be A.....
not 100% sure