Answer:
was this question written correctly
Step-by-step explanation:
this question can't be solved
Lions were introduced in the park in 2010. In 2012, the park has a population of 32 lions. A year later, in 2013, the park has 128 lions. Write an exponential function that models this situation. Let x represent the number of years since 2010 and let f(x)represent the number of lions.
Answer:
y = 2(4^(x))
Step-by-step explanation:
In 2012, the park has a population of 32 lions. A year later, in 2013, the park has 128 lions.
This means in 2012, it was 2^(5) lions while after 1 year it was 2^(7) lions
Thus, it increases every year by a ratio of 2^(2)
Thus, in 2011, it was 2^(5) - 2^(2) = 2^(3) lions
In 2010, it was 2^(3) - 2^(2) = 2
Since Lions were introduced in the park in 2010, using f(x), it means;
at x = 0, f(x) = 2
at x = 1, f(x) = 2^(3)
at x = 2, f(x) = 2^(5)
at x = 3, f(x) = 2^(7)
To find an exponential function that models the situation, let's use the generic formula: y = ab^(x)
At x = 0 and y = 2, we have;
2 = a × b^(0)
Thus,a = 2
At x = 1, y = 2^(3)
Thus; 2^(3) = 2 × b^(1)
b = 8/2
b = 4
So the exponential equation is;
y = 2(4^(x))
You can use the fact that the given figures are expressible as 2 raised to some powers.
The exponential function modeling the number of lions to the years passed since 2010 is given as
[tex]f(x) = 2^{1+2x}[/tex]
What is an exponential function?Those functions which are expressed as some constant raised to the power of the argument called exponential function.
How to find which function can model the given condition?Since 2012 - 2010 = 2 and the number of lions = 32 = [tex]2^5[/tex]
and 2013 -2010 = 3 and the number of lions =128 = [tex]2^7[/tex]
Thus, there is increment of 2 exponent as 1 year was changed.
Thus, we have:
[tex]f(x) = 2^{2x + a}[/tex] where a might be some constant( i took this form of exponent just by trial and error. It was already visible that one year was increasing double output, thus 2x and since there was just double increase and no other effect, there might be some non variable thing(a constant) so i thought to try some variable and see if this can work)
Since at x = 2, we get 2 raised to the power 5
thus.
[tex]2(2) + a = 5\\a = 1[/tex]
Thus,
The exponential function modeling the number of lions to the years passed since 2010 is given as
[tex]f(x) = 2^{1+2x}[/tex]
You can see that this will give correct output for x = 2 and x = 3
Learn more about exponential functions here:
https://brainly.com/question/15680851
Help me quickly just give the answer
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Divide by 2
32/2 = 16
Therefore-
16 books per box
7 cm
5.2 cm
6 cm
6 cm
6 cm
Answer:
m24,m249,m416,kar98k
Step-by-step explanation:
過文はまやたらあわまはやたはたやはたやたなまやたはたはまはたやあはたはたはたはたはた
if 2×2=4 and 4×4=8. What is 8×8?
Answer:
64
Step-by-step explanation:
A can of beans has surface area 337 cm2. It's heights is 11cm. What is the radius of the circular top?
Answer:
3.66 cm
Step-by-step explanation:
r = Radius of cylinder
h = Height of the cylinder = 11 cm
A = Total surface area of the cylinder = [tex]337\ \text{cm}^2[/tex]
Total surface area of a cylinder is given by
[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r(r+h)\\\Rightarrow \dfrac{A}{2\pi}=r^2+rh\\\Rightarrow r^2+rh-\dfrac{A}{2\pi}=0\\\Rightarrow r^2+11r-\dfrac{337}{2\pi}=0\\\Rightarrow r^2+11r-53.64=0\\\Rightarrow 100r^2+1100r-5364=0\\\Rightarrow r=\dfrac{-1100\pm \sqrt{1100^2-4\times 100\left(-5364\right)}}{2\times 100}\\\Rightarrow r=3.66,-14.65[/tex]
So, the radius of the circular top is 3.66 cm.
Halley’s Comet has an elliptical orbit with the sun at one focus and a major axis of 1,636,484,848 miles. The closest the comet comes to the sun is 54,004,000 miles. What is the maximum distance from the comet to the sun? Round to the nearest whole number.
Answer:
1582480848 miles
Step-by-step explanation:
The maximum distance is another vertex of the major axis
1,636,484,848 miles - 54,004,000 miles = 1582480848 miles
Based on the calculations, the maximum distance from the Comet to the Sun is equal to 1,582,480,848 miles.
How to calculate the maximum distance from the Comet to the Sun?In this scenario, the elliptical orbit of the Comet with respect to the Sun at one focus and a major axis is equal to 1,636,484,848 miles. Also, the closest it came to the Sun is 54,004,000 miles.
Thus, we would divide the length of the major axis by the distance between the Comet and the Sun as follows:
Maximum distance = 1,636,484,848/54,004,000
Maximum distance = 1,582,480,848 miles.
Read more on maximum distance here: https://brainly.com/question/1992509
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Please help
A 108 square cm
B 63 square cm
C 139.5 square cm
D 171 square cm
so true i fo it all the time
Janet had a sheet of paper that was 4 inches long the area was 40 inch square what is the width of the paper.
Answer:
10 inches
Step-by-step explanation:
Area is qual to length times width.
A = lw
Rearrange this to find width.
w = A/l
Now plug in your known numbers and simplify.
w = 40/4
w = 10
Find the slope, or rate of change, from the following ordered pairs:
please help me with this :(
Can anyone help?? Basic algebra-
Answer:
-7x+4y=15
Perpendicular lines have slopes with a product of -1
Step-by-step explanation:
i need help 2021 is bad already
Mary's tube of red paint is five sevenths full and her blue paint is four sevenths full. How much red and blue paint does Mary have in total? Use the benchmark fraction one half, 1, and 0 to help you estimate each answer before you solve it.
Answer:
We know that:
Mary has 5/7 of the red paint tube
And she also has 4/7 of the blue paint tube.
How much paint does she have in total?
Well, we only need to add these fractions.
5/7 + 4/7 = 9/7
We can rewrite the 9 as 7 + 2, then we get:
9/7 = (7 + 2)/7 = 7/7 + 2/7 = 1 + 2/7
This means that, in total, she has a complete tube and two sevents of other.
2y=x
3x+3y=-18
please help
Help due soon!
Walker is planning a summer vacation. He wants to visit Petrified National Forest and Meteor Crater, Arizona, the 50,000-year-old impact site of a large meteor. On a map with a scale where 2 inches equals 75 miles, the two areas are about 1 1/2 inches apart. What is the distance between Petrified National Forest and Meteor Crater?
Answer:
56.25 miles
Step-by-step explanation:
2 inches=75 miles
1 inch=37.5
1/2 inch=18.75
37.5+18.75=56.25
please mark me as brainliest!!<3
Someone Asist me with this pleaseeee
Answer: it's the last one It's not a function
Step-by-step explanation
divide the decimal 134.55 by the decimal 0.5
Answer:
269.1
Step-by-step explanation:
Write the equation of the shown line in slope intercept form. I need help please!
Answer:
y = 1/4x -2
Step-by-step explanation:
Slope intercept from is y = mx + b
m is the slope (rise/run) and this one is one over four.
The y-intercept is b and this line crosses the y-axis at -2.
Solve for X: -5x - 7<28
Answer:
x < 7
Step-by-step explanation:
Given
5x - 7 < 28 ( add 7 to both sides )
5x < 35 ( divide both sides by 5 )
x < 7
Answer:
x>7
Step-by-step explanation:
Treat this inequality as a regular equation.
-5x<35
-x<7
x>7
(You switch signs if you divide with a negative btw.)
(d + 3) + (5d +4)=?
Help
Answer:
[tex]6d + 7[/tex]
Step-by-step explanation:
just add the like terms and remove the parthenses
d+ 5d = 6d
and 3+4 =7
6d + 7
Answer:
6d + 7
Step-by-step explanation:
Fraction from or decimal form but has to be rounded
Answer:
x = [tex]\frac{25}{6}[/tex]
Step-by-step explanation:
Given expression is,
[tex]2x-\frac{11}{4}x=-\frac{25}{8}[/tex]
[tex]\frac{8x}{4}-\frac{11}{4}x=-\frac{25}{8}[/tex]
[tex]\frac{8x-11x}{4}=-\frac{25}{8}[/tex]
[tex]-\frac{3x}{4}=-\frac{25}{8}[/tex]
[tex]\frac{3x}{4}\times 4=\frac{25}{8}\times 4[/tex]
[tex]3x=\frac{25}{2}[/tex]
[tex]\frac{3x}{3}=\frac{25}{2}\times \frac{1}{3}[/tex]
x = [tex]\frac{25}{6}[/tex]
How to classify triangles by its sides and by its angles help pls
Step-by-step explanation:
triangle with 2 sides of equal lengths= isoceles
triangle with 3 sides of equal lengths= equilateral
Answer:
if the two sides are congruent, then it's an isosceles triangle.
all angles congruent and it's an equilateral.
all angles unequal and it's a scalene.
if all the angle measures are less than 90 degrees, then it's acute, but more than 90 degrees would be obtuse.
Please help !!
Solve for x:
-2
-2/3
-3/2
-3
Answer:
x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
18x = 9 × 3 = 27 ( divide both sides by 18 )
x = [tex]\frac{27}{18}[/tex] = [tex]\frac{3}{2}[/tex]
is the graph below linear function or non- linear plxxx helppp
Answer:
It is non linear
Step-by-step explanation:
Linear means that it goes at a constant rate (aka a straight line)
This graph does not have a straight line so it is non-linear
Which expression is equivalent to (-4y - x) - (3y - 9x)
Answer: -7y+8x
Step-by-step explanation: I assume you mean to simplify
Step 1: Remove parentheses : -4y - x - (3y - 9x)
Step 2: -(3y - 9x) = -3y + 9x
Step 3: Simplify: -4y - x - 3y +9x
Step 4: Answer: -7y+8x
Write a coordinate proof given quadrilateral ABCD with vertices A 3, 2), B (8, 2), C (5, 0), and D (0, 0).
Plot the point and graph the quadrilateral.
Graphing is pretty easy. Think of the x and y axis as a number line, you go to the right of 0 you get positive. You go to the left, you get negative. The x axis is just that, the y axis is just like a number line but flipped. You go up for positive and down for negative on the y axis. The middle point is always (0,0). To graph a shape, you just connect the points. To plot positive points you would go right and up. So to plot (8,2), you would go 8 points right on the x axis, then 2 points up on the y axis. Think of Quadrant I as 2 positive points, if both points are positive, plot them there. If you need to plot a negative point then a positive point you would go to Quadrant II. If both of the points are negative, plot them in Quadrant III. If it is a positive point then negative, go to Quadrant IV. Remember, the x axis always comes first. Always go right or left first, then up or down. You determine how many points to go right or left then up or down by the point given. Lets take another example. If you were told to plot (-1,5), that would go in Quadrant II. You would go left 1 and up 5. I explained the concept of the coordinate plane, although, I'm not sure what you mean by coordinate proof. Hope that helped :)
evaluate 62 in mathematics
Answer:
62
Step-by-step explanation:
62+7000000= 7000062 however when you divide that by its constant of the root of the sqared denominator, you get 4. THENNNN you add 3 to planks constand to get 62.
What is the value of X in the equation?
Answer:
Whoa!! Dat is waaay too long
how did the Bill of Rights affects us today.
Answer:
As a citizen, the Bill of Rights has a huge effect on us daily. As citizens, we are extremely lucky to have this document to protect and ensure all of our freedoms and rights.
Step-by-step explanation:
Helpppppppppppppp meeeeeee ouuuuuutttt
Plz its easy
Answer: 2329 cups
Step-by-step explanation:
Make an equation and you will have c (total number of cups at the end)=2000-125-127+1719-356-782+0= 2329. So the total number of cups at the end of the week is 2329. Hope this helps!
Please help down below.
Answer:
Maybe the first?
Step-by-step explanation:
If the first choice was 8 yards by 4 yards, then it would be correct.
A reduction means a scale factor of less than 1, while the second, third, and fourth choices have scale factors of 6, 12, and 2 respectively.