Question1) Describe three scenarios that involve a real-world linear or exponential function. At least one must be exponential. Identity whether your scenarios are linear or exponential. Provide an explanation to support your answers.. (Mark Brainliest.)
Answer:
1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.
Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:
D(t) = 80km/h*t
where t is time in hours.
This will be a linear function.
2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.
Then the first month, the population is 100.
The second month the population increased by a 2%, then it will be:
100 + 100*0.02 = 100*(1.02)
The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.
and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:
P(m) = 100*(1.02)^(m - 1)
3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)
The month number zero (before you started saving) you had $100 saved.
S(0) = $100.
One month after, you have saved $80 more, then you have:
S(1) = $100 + $80
Another month after, you have:
S(2) = $100 + $80 + $80 = $100 + 2*$80
And so on, you already can see the pattern, after m months, you will have:
S(m) = $100 + m*$80 saved.
a gold mine extracted 500,000 ounces. gold is priced at present time at $460 per ounce. the mine holds gold for 3 years. if inflation (for gold) is 5.17% per year, how much money will they receive for selling in 3 years all 500,000 ounces in actual dollars
Answer:
$267,536,000Step-by-step explanation:
Step one:
given data
total ounces=500,000
cost per ounce= $460
total amount of the ounce= 500,000*460= $230000000
Time t=3years
rate= 5.17%= 0.0517
Step two:
The inflation we have a compounding effect on the amount
$230000000
A=P(1+r)^t
A=230000000(1+0.0517)^3
A=230000000(1.0517)^3
A=230000000*1.1632
A=$267,536,000
They will receive a total of $267,536,000
Which expressions are equivalent to -7+3(-4e-3)
A.) -4(3e+4)
B.) 12e
C.) None of the above.
GIVING BRAINLIEST!
*URGENT*
Answer:
The answer is letter A.
-7+3(-4e-3)
−7+3((−4)(2.718282)−3)
=−48.619382
-4(3e+4)
−4((3)(2.718282)+4)
=(−4)((3)(2.718282)+4)
=(−4)((3)(2.718282))+(−4)(4)
=−32.619382−16
=−48.619382
witch of the statements are true about exterior angles
What is the degree measure of f?.
A) 56°
B) 58°
C) 60°
D) 64°
If you can, please explain your answer to me!
Answer:
The measure of F is C)60
Step-by-step explanation:
YOu have to subtract 116 from 180 an you should get 64. SO 64 is the other angle inside of the trianlge. You add 64 and 56, you get the answer 120. You subtract 120 from 180 and you get the answer 60. The measure of angle F is 60.
Answer:
Step-by-step explanation:
There are three rules in mathematics that help us solve this problem:
1. Angles opposite the vertex measure the same. 2. All the interior angles of a triangle add up to 180 °3. All angles that share a vertex add up to 360 °So, we have that the angle opposite the vertex to the angle that measures 116 ° must measure the same: 116 °
So, we have two angles of 116°, so we add, 116 + 116 = 232
360 - 232 = 128
The other two opposite angles (of which one is an internal angle of the triangle) add up to 128
Since they are opposite by the vertex, they measure the same, so we divide by two and it gives us the value of each one:
128/2 = 64
So, if we know by the second rule, 64 + 56 + f = 180
We resolve:
120 + f = 180
(120 + f) - 120 = 180 -120
f = 60
The value of the angle F is 60°
If (72)p = 76, what is the value of p? (5 points)
A. 2
B. 3
C. 4
D. 8
Answer:
8
Step-by-step explanation:
How do you graph the solution of this inequality b< 6
Answer:
The graph of the solution to inequality is shown in the attached figure.
Step-by-step explanation:
Considering the inequality
[tex]b< 6[/tex]
As this inequality could simply further
so
[tex]b<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:b<6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]
As the interval notation indicates that b is less than 6, hence 6 will not be included on the graph.
Therefore, the graph of the solution to inequality is shown in the attached figure.
In 2010, the average price of a movie ticket was $7.89. Since then, the price has increased by an average of $0.15 per year. Write a linear equation to represent the cost C of a movie ticket y years after 2010.
Answer:
C=0.15y+7.89
Step-by-step explanation:
The linear equation represents the cost C of a movie ticket y is C=0.15y+7.89. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
What is meant by linear equation?A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
We define a linear equation. Equations of degree 1 are linear equations. It is the straight line's equation. A linear equation with parameters a and b equal to zero has the conventional form ax+by+c = 0.
When two linear expressions are equal, there is a linear equation in one variable. Or, to put it another way, a graph would be one method of solving this equation.
Given ,
Average price of movie ticket =$7.89
Increased average tickets =$0.15
So Simplifying the equation is
C=0.15y+7.89
Therefore The linear equation represents the cost C of a movie ticket y is C=0.15y+7.89.
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what is the answer to and how to solve7(11c+3)
Answer:
I got 77c+21
Step-by-step explanation:
Answer:
77c + 21
Step-by-step explanation:
7(11c + 3)
= 7*11c + 7*3
= 77c + 21
solve the inequality -2<4x-10<6
Answer:
2 < x < 4
Step-by-step explanation:
solutions to ( x - 2 )² = -16
Answer: There are no real solutions
Answer:
About -3.5
Step-by-step explanation:
x^2 - 2^2 = -16
x^2 - 4 = -16
x^2 = -12
x = the square root of -12
x is about - 3.5
What is the equation of the line that is parallel to the
given line and passes through the given point?
O y=-2
O x= -2
Oy=-4
O x= -4
Answer:
y= -4
Step-by-step explanation:
Edge 2020 :)
Write the number in standard form. 900,00 + 80,000 + 500 + 7 HELP ME PLSS ILL GIVE U 100 DOLLARS
Answer:980,507
Step-by-step explanation:
Answer:
980,507
Step-by-step explanation:
hope this helps :)
|4| |–6| = > or < its confusing
Answer:
It’s confusing
Step-by-step explanation:
Yesterday it took 40 minutes to drive to school. Today is took 32 minutes to drive to
school. What is the amount of percent decrease?
Answer:
20%
Step-by-step explanation:
To find the percent decrease, we do old number subtracted from the new numbers over old.
We do
40 - 32 = 8
Then we put the 8 over the old and get
8/40
In percentage form it would be 20%
What is the Y intercept of 10x+5y=30
Answer: (0,6)
The y-int is 6
Reduce to simplest form. - 3/5 + 1/3
Answer: -4/15
Step-by-step explanation: To add these two fractions together,
we start by finding their Least Common Denominator (LCD).
Since our denominators of 5 and 3 have no factors in common,
our least common denominator is 5 · 3 or 15.
In order to get a denominator of 15 in each fraction,
we multiply top and bottom of the first fraction by 3
and top and bottom of the second fraction by 5.
That gives us -9/15 + 5/15 which simplifies to -4/15.
As your last step, make sure that the fraction
that you end up with doesn't reduce.
In this case, -4/15 does not reduce but watch out for this last step.
Can someone help me there is a picture of problem
Answer:
8 interior angles
Step-by-step explanation:
There is a simple trick to finding the number of interior anglesFor instance, a triangle has 3 sides, and how many angles are in a triangle? 3A square has 4 sides and 4 interior anglesA pentagon has 5 sides and 5 interior anglesSo an octagon, the shape we have here, has 8 sides so 8 interior anglesDiameter of a sphere 7m calculate the sphere volume
Answer:
179.59 m³
Step-by-step explanation:
Formula for sphere volume: V=4/3πr^3
PLEASE HELP ME WITH THIS QUESTION ASAP
Answer:
y=5x+(-19)
Step-by-step explanation:
Refer to the picture that given
The length of a rectangle is 12x and the width is 4+x which of the following equations would find the area of the rectangle
A 12x+(4+x)
B 2(12x)+2(4+x
C12x(4+x)
Answer: The answer is C.
Step-by-step explanation:
Remember that the formula for the area of a rectangle is [tex]lw[/tex]. This gives you 12x as the length and 4+x as the width. You just need to multiply those two number together, and you get 12x(4+x) which is C.
solve the equation In(x+2)=In(x-4)+ In3
Answer:
x = 7
Step-by-step explanation:
lmk if I'm wrong, but I shouldn't be
Given the speeds of each runner below, determine who runs the fastest.
Debbie runs 10 feet per second.
Stephanie runs 131 feet in 10 seconds.
Jessica runs 1 mile in 440 seconds.
Ron runs 547 feet in 1 minute.
Debbie
Stephanie
Jessica
Ron
Answer:
Debbie runs 9 feet per second: 9 ft/s
Jessica runs 1 mile in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s
jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s
ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s
Since:
11 11/47 > 10 1/20 > 9 > 8 7/25
Emily runs the fastest.
The cost see for manufacturing X units of a certain product is given by C equals X squared -10 X +35 find the number of units manufactured at a cost of 11,035
9514 1404 393
Answer:
110 units
Step-by-step explanation:
Fill in the given value and solve for x.
c = x^2 -10x +35
11035 = x^2 -10x +35
11025 = x^2 -10x +25 = (x -5)^2 . . . . subtract 10 to complete the square
x = 5 +√11025 = 5 +105 . . . . find the positive solution
x = 110
The number of units manufactured at a cost of 11,035 is 110 units.
what is the slope of the following line?
Answer:
The slope is [tex]\frac{1}{-2}[/tex]
Step-by-step explanation:
Hope this helps, and it will also be, in longer & greater terms: [tex]y= \frac{1}{-2}x + 2[/tex].
I hope my answer is also correct.
Answer:
-1/2
Step-by-step explanation:
The answer is -1/2 because of rise over run.
A mnemonic for remembering that the slope of a non-vertical line is the ratio of the amount it rises over some interval, over the length of that interval.
what is the value of the expression x = 9 and y = 4
Answer:
1. 13
2. 18
If I'm wrong please let me know
please first click on the image.
the question :
If the pattern continues , what algebraic expression can be used to find the number of circles used in any figure ? how many circles will be in the 50th figure ?
Let the figure number be x.
Then the equation will be:
3x
There will be 3x circles in the figure number x.
So, number of circles in 50th figure will be
= 3(50)
= 3 × 50
= 150 circles
The number of circles in the 50th figure is 150 circles.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Here a pattern is shown in the form of the circles.
In the Figure 1, there are 3 circles.
In the figure 2, there are 6 circles.
In the figure 3, there are 9 circles.
It is clear that the pattern is in such a way that 3 circles are increasing to each succeeding figure.
So for the nth figure,
Number of circles will be 3n.
So for 50th figure, number of circles = 3 × 50 = 150 circles
Hence the number of circles in the 50th figure is 150.
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What is the measure of ABC?
Answer:
C. 60
Step-by-step explanation:
You can take away 120 instantly because that angle is acute. This leaves you with A, B, and C. It's most certainly too big to be C. By this point you can look at it and draw a 90 degree angle in your mind and you can see that it looks about 2/3 of a 90 degree angle.
May I have brainliest please? :)
If MQ also bisects angle ∠LMP, find the measure of ∠QMP and find the value of x. ∠QMP = (5x + 10)º
Answer:
Step-by-step explanation:
If MQ also bisects angle ∠LMP, then;
<LMQ + <QMP = <LMP
Also <LMQ = <QMP
The equation becomes <QMP + <QMP = <LMP
2<QMP = <LMP
Let <LMP be 8x+40° (This is an assumed value)
2(5x+10) = 8x+40
Open the parenthesis
10x+20 = 8x+40
10x-8x = 40-20
2x = 20
x = 20/2
x = 10
Find <QMP
Since <QMP = 5x+10
<QMP = 5(10)+10
<QMP = 50+10
<QMP = 60 degrees
Note that the angle <LMP was assumed. Any other function can be used depending on the question
HELP ME OUT HERE PLEASEE I WILL MAKE BRAINLIST TO THE PERSON WHO DID EXPLANATION.
Answer:
5 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]2\frac{4}{5}[/tex] + [tex]3\frac{7}{10}[/tex] = [tex]2\frac{8}{10}[/tex] + [tex]3\frac{7}{10}[/tex] = [tex]5\frac{15}{10}[/tex] = [tex]6\frac{1}{2}[/tex]
12 - [tex]6\frac{1}{2}[/tex] = (12 - 6) - [tex]\frac{1}{2}[/tex] = 6 - [tex]\frac{1}{2}[/tex] = 5 [tex]\frac{1}{2}[/tex]