The world population at the beginning of 1980 was 4.5 billion. Assuming the population continued to grow at the rate of approximately 1.3% per year, find a function Q(t) giving the population of the world (in billions) as a function of time t (in years)
Answer:
The function Q(t) = 4.5 billion (1.013)^t will give the population in t years
Step-by-step explanation:
Here, we want to write a function
The growth percentage is 1.3% = 1.3/100 = 0.013
The function Q(t) will be an exponential function and it will be represented as;
Q(t) = I ( 1 + r)^t
where I is the initial world population at 1980 = 4.5 billion
r is the growth percentage = 1.3% = 0.013
t is the time in years
Substituting these values, we have;
Q(t) = 4.5 billion (1 + 0.013)^t
Q(t) = 4.5 billion (1.013)^t
K divided by seven is 7
Answer:
K/7=7 K=49
Step-by-step explanation:
K=49 because if you multipy 7 and 7 because its the inverse operation you get 49.
Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9
x-2
x+1
x-1
x+2
show work please
x+2
Step-by-step explanation:
x+2
If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.
0000444 4034 000034
Answer:
whats the question
Step-by-step explanation:
I dont get it
HELP!!!!! WILL MARK BRAINLIEST 10 POINTS
I need help for number 3
Answer: 3/2
Step-by-step explanation: 24 ÷ 2² + 8 (3/2) = 3/2
Answer:
i think this is the ans
Step-by-step explanation:
plezz mark brainliest
Fill in the blank. In the triangle below, zº = ___º
Answer:
[tex]\huge\boxed{43 \textdegree}[/tex]
Step-by-step explanation:
We can use basic angle relationships to find the measure of z.
We know that all angles in a triangle will add up to 180°. Since we already know two out of the 3 angles (47° and 90° - right angles are always 90°) we can add those two up and subtract from 180 to find out the missing angle length.
[tex]47+90=137\\\\180-137=43[/tex]
Hope this helped!
Marco need to buy some dog food.at the nearest store,3 bags of dog food costs $10.50.How much would Narco spend on 5 bags of dog food?
Answer:
17.50
Step-by-step explanation:
Answer:
17.50
Step-by-step explanation:
$10.50÷3 = 3.50
3.50×5 = 17.50
Can someone help me please??
Determine the intercept of the graph.
Determine the x- and y-intercepts of the graph of
x + 3y = 9
Then plot the intercepts to graph the equation.
Answer:
x- intercepts = 9
y- intercepts = 3
For the equation y=3x+2 if we were to add 7 What effect would it help on the equation.
8) Your sister also tries to make a cake for her mom. The recipe requires 3 3/5
cups of flour. If she only wants 3/4 of the recipe, how many cups of flour should
she use to make the cake?
Answer:
2.7 cups of flour
Step-by-step explanation:
75% of 3.6 is 2.7
A student taking a Calculus class makes the following statement:
”If f(1) > 0 and f(3) < 0, then there exists a number c, between 1 and 3 such that f(c) = 0.”
Is the statement true? If it’s true, explain why, if it is false, explain why, or give an example that disproves it.
Explanation:
Imagine that f(x) was a road without any gaps. The road can be straight or it can be curved somehow.
Now imagine that a horizontal line is the border between two countries. The country up north is the positive country and the southern country is negative.
f(1) > 0 means we're in the northern country since f(x) is positive here
then f(3) < 0 means we're now in the southern negative country
Somewhere along the road we must have crossed the border at least one time. This must be the case because the road does not have any gaps in it and we cannot teleport. This is what it means to be a continuous function. To draw a continuous curve, you cannot lift your pencil up.
So because f(x) transitions from positive to negative, this means f(x) = 0 at some point at least once. So that's why there exists a c such that f(c) = 0
7th grade math help me plzzz
Answer:
-75
Step-by-step explanation:
-50+15=-35
-35+-40=-75
i hope this helps:)
The largest whale is the blue whale weighing 19,000 kg what is its weight in scientific notation
Answer:
1.9*10^4 kg
Step-by-step explanation:
1.9*10^4 kg
Answer:
1.9 × 10⁴
Step-by-step explanation:
Move the decimal 4 places to the left to get your number less than 10 but greater than one. Every space you moved left is then placed in the position of the exponent for 10.
Does anyone know what the answer is?
Answer:
0.974.
Step-by-step explanation:
You have to use a correlation calculator.
Simplify 0.3(x - 2y) + 0.5x - y.
Sorry I would give more points but I really dont have much.
Answer:
0.8x - 1.6y
Step-by-step explanation:
Step 1: Write expression
0.3(x - 2y) + 0.5x - y
Step 2: Distribute 0.3
0.3x - 0.6y + 0.5x - y
Step 3: Combine like terms
0.8x - 1.6y
Answer:
0.8x - 1.6y
-step explanation:
give the equivalent decimal 4/8
Answer:
the answer would be 0.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
.5
4/8 can be reduced to 1/2 which is equal to 5/10, which pretty much means .5
Please help thank you!
Answer:
Elimination
Step-by-step explanation:
You can just multiply the bottom equation by 2 and it would cancelled out the ys.
Answer:
Elimination
Step-by-step explanation:
It is elimination because when you eliminate you are adding or subtracting to get one variable. For example, you would do 10y-5y= 5y and 14 + 4 = 18
Did this help!?
7.25y-15=21.25 what is y
Answer:
5
Step-by-step explanation:
7.25y = 36.25. (after adding 15 on both sides)
Then divide by 7.25 and it should come out to 5. Hope this helps! :D
I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math
Please do step by step and pick reasoning for each
here are reasonings to pick from:
verticle angles
Linear pair (or triples)
Congruent angles
sum of angles in a triangle
sum of angles in a quadrilateral
Base angles of an isosceles triangle
Angle bisector definition
corresponding angles
alternate interior angles
alternate exterior angles
same - side interior angles
angle addition postulate
angle subtraction postulate
perpendicular lines form right angles
m∠AGF + m∠CGE + m∠AGC = 180° ( linear pair )
84° + 64° + m∠AGC = 180°
148° + m∠AGC = 180°
m∠AGC = 180 - 148
m∠AGC = 32°
As m∠AGC and m∠DGB are vertically opposite angles , their angle measure will be equal .
Which means :-
m∠AGC = m∠DGB ( vertically opposite angles )
m∠DGB = 32°Therefore :-try:- m∠DGB = 32° Reason :-vertical anglesIn the diagram shown, if m<AGF = 64°, m<CGE = 84°, then m<DGB = 32°
From the figure shown:
m<AGF = 64° (Given)
m<CGE = 84° (Given)
m<AGF = m<BGE (Vertically opposite angles are equal)
m<AGF = m<BGE = 64°
m<CGE + m<BGE + m<DGB = 180° (Sum of angles on a straight line)
84 + 64 + m<DGB = 180
148 + m<DGB = 180
m<DGB = 180 - 148
m<DGB = 32°
Therefore, in the diagram shown, if m<AGF = 64°, m<CGE = 84°, then m<DGB = 32°
Learn more here: https://brainly.com/question/68367
What is the domain of y = csc(x)?
all real numbers
77
all real numbers except na +
where n is any integer
2
all real numbers except na, where n is any integer
all real numbers greater than 1 or less than-1
C.
ll real numbers except npi, where n is any integer
on edg2020
In the figure, m∠2=(20x+52)° and m∠7=(40x-48)°
For what value of x is m || n ?
Enter your answer in the box.
x = ___
Answer: x=5 m is parallel to n
Step-by-step explanation:
∠2 and ∠7 are alternate exterior angles so they are equal.
So you can create the equation
40x-48 = 20x+52 Subtract 20x from both sides. Add 48 to both sides.
20x = 100
x = 5
if you need m∠2 Substtute 5 for x in 20x+52
20(5) + 52 = 100 +52 m∠2= 152°
m∠7 40(5) - 48 = 200-48 m∠7= 152°
Answer:
x=5 and m is parallel to n
Step-by-step explanation:
give the other person brainliest ^^
What is this picture an example of
Find the missing side and angle indicated in the picture. Round your answers to the nearest tenth.
Enter your answer as equations separated by a comma.
Answer:
AC = 30 in
m∠B = 36,9°
m∠A = 53,1°
Step-by-step explanation:
1 AC
You gan get AC with the pythagorean theorem:
a²+b²=c²
We are looking for side b of the triangle, so the equation is rearranged for b.
BC²+AC²=AB² | -BC²
AC²=AB²-BC²
AC=√(AB²-BC²)
Now the given values are used:
b=√(50²-40²)
b=√(2500-1600)
b=√900
b=30 in
2 m∠B
This angle can be calculated using the sine law:
sine(angle)=opposite cathete/hypothenus
We are looking for angle m∠B of the triangle.
sin(m∠B)=AC/AB
sin(m∠B)=30in/50in
sin(m∠B)=0,6
m∠B=36,9°
3 m∠A
This angle can be calculated using the sine law:
sine(angle)=opposite cathete/hypothenus
We are looking for angle m∠A of the triangle.
sin(m∠A)=BC/AB
sin(m∠A)=40in/50in
sin(m∠A)=0,8
m∠A=53,1°
Adjacent angles that form a linear pair are supplementary angles. True or false?
Answer:
FALSE
Step-by-step explanation:
Answer:
Step-by-step explanation:
It's true. If you have a straight line and you put the endpoint of a ray on that line and let the ray go in the direction it is pointing, 2 angles will be formed unless the ray is part of the line.
The way the question is worded, you have a linear pair which means there are 2 distinct angles whose vertex is on a line.
That's the very definition of supplementary.
Melissa buys an iPhone for $240 and gets consumer surplus of $160. What is her willingness to pay?
Answer:
$400 = $240 + $160
Step-by-step explanation:
A rental car agency charges a flat fee of $32.00 plus $3.00 per day to rent a certain car. Another agency charges a fee of $30.50 plus $3.25 per day to rent the same car.
Answer:
a rental car agency charges a flat rate fee of $32.00 plus $3.00 per day to rent a certain car
c = 32 + 3d
another agency charges a fee of $30.50 plus $3.25 per day to rent the same car
c = 30.50 + 3.25d
the number of days for which the cost are the same means
32 + 3d = 30.50 + 3.25d
by solving we find d = 6 days
When simplified,the value of the expression (15 - 11)^2 + sqrt 64/4 is equal to______.
Answer:
The answer is 20
Step-by-step explanation:
Solve paranthese first then sqrt your answer then add the remainig
How do you rewrite a squared • a to the power of 4 using only one exponent?
Answer:
It's probably a^6
Step-by-step explanation:
a^2 * a^4
a^2+4
a^6
Answer:
[tex]a^2*a^4\\= a^6[/tex]
I got the answer by the property: [tex]a^m*a^n = a^m^+^n[/tex]
In 2003 Nebraska had a population of 1,739,291 while Kansas had a population of 2,723,507. What was their combined population?
Answer:
4,452,798
Step-by-step explanation:
Hope this helps