Answer:
1/4 !
Step-by-step explanation:
(10, 7); 5х - бу = 18
Answer: See explanation
Step-by-step explanation:
x = 10
y = 7
5x - 6y = 18
5 (10) - 6 (7) = 18
50 - 42 = 18
8 ≠ 18
The coordinates can't be (10, 7)
I barely understood the question but I hope I helped!
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
The sum of two integers is 5. Their difference is 11. What are
the two integers?
HURRY
Answer:
ggggvx
Step-by-step explanation:
cddfvdcvv
Arthur travels for 3 hours on the freeway. His average speed is 55 mi/hr. How far does he travel?
Answer:
He travels 165 miles
Step-by-step explanation:
3 × 55=165Solve the equation: explain in detail please! I will mark brainliest.
X/5 + 6 = 10
44
30
20
-20
Answer:
x = 20
Step-by-step explanation:
The way to solve these problems is by isolating x (getting it by itself on one side).
So let's look at the operations needed! First of all, there's currently a +6 hanging out next to x. We don't want that, so we subtract 6 from both sides.
x/5 + 6 = 10
-6 -6
x/5 = 4
We now see that x is being divided by five. To get just x, we can now multiply both sides by five to get rid of that fraction.
x/5 = 4
*5 *5
x = 20
a trail mix recipe calls for 3/4 a cup of raisins for every 5/8 of a cup of peanuts. how mant peanuts will be needed for 1 cup of rason?
Answer:
5/6 rup of raisins?
Step-by-step explanation
Sorry if that is wrong
5.
Which of the following triangles is similar to the triangle shown below?
The first triangle is similar with given triangle.
Similar triangle:Two triangles are said to be similar, when corresponding sides of both triangles are in equal proportion and corresponding angles are equal.
From first option, It is observed all the sides of triangle are in the proportion with given triangle dimensions.
Given triangles dimensions are [tex]3,4[/tex] and [tex]5.[/tex]
First option triangles has dimensions [tex]6,8[/tex] and [tex]10[/tex].
Since, [tex]\frac{3}{6} =\frac{4}{8} =\frac{5}{10}=\frac{1}{2}[/tex]
Therefore, first triangle is similar with given triangle.
Learn more about the similar triangle here:
https://brainly.com/question/14285697
Three friends are sharing the cost of a bucket of popcorn the total cost of the popcorn is 5.70. Which equation could be used to find them amount a in dollars that each friend should pay
Answer:
individual pay (a) = cost of popcorn / number of friends
Step-by-step explanation:
Assuming the cost of the popcorn is to be split evenly among the three friends, where all three friends are to split 5.70, the pay per friend is;
individual pay (a) = 5.70 (cost of popcorn) / 3 (number of friends)
28.6-9.84
I need help
Answer:
18.76
Step-by-step explanation:
28.6 - 9.84 = 18.76
Sarah has to travel 60 miles to see her friend. Her dad drives at 30 mph and her uncle drives at 40 mph. How much time does she save if she travels with her uncle rather than her dad
Answer:
1h30min
Step-by-step explanation:
find the values of angles in x,y,z
Answer:
x=91, y=91, z=39
Step-by-step explanation:
the angles add up to 180 so find the difference ex. 51+38=89, 180-89=91 so x is 91
What is the answer of the question
Answer:
n - 8 = 20
Step-by-step explanation:
help please jesus loves you
Answer:
6000 grams / sec
Step-by-step explanation:
1 kg = 1000 grams
1 min = 60 sec
360 kg (1000grams/1 kg) = 360000grams
360000 grams/min (1 min/ 60sec) = 6000 grams / sec
Is "The radio's sound died down" a metaphor, personification, onomatopoeia, or oxymoron answer quick
Answer:
I think personification
Step-by-step explanation:
Determine the intercepts of the line.
Answer:
Y-intercept: (0, 0.4)
X-intercepts: (0.3, 0)
Answer:
The y-intercept is (0, 0.4), and the x-intercept is (0.3, 0)
Step-by-step explanation:
To find the intercepts of the line, you need to see what points lie on the x and y-axis.
-3x+6<27?
Solving Linear Inequalities.
While solving, you can treat inequalities the exact same as you would treat equations. Pretend the inequality sign is an equals sign. Now solve for x.
-3x + 6 < 27
-3x < 21
3x < -21
x < -7
write an equation parallel to y=-3x-1 and passing through the point (4,-8)
Answer:
y = -3x + 4
Step-by-step explanation:
y = -3x - 1
a parallel line is going to look identical to the previous equation except for the last number.
for example,
y = -3x + 10
and
y = -3x - 2
are both parallel lines
now, substitute y and x for the points of the coordinate given.
y = -3x - 1
-8 = -3*4 - 1
-8 = -12 - 1
this equation isn't true.
so change the last number to make it true
-8 = -12 + 4
-8 = -8
so, your new equation is
y = -3x + 4
What is m∠N?
A. 19°
B. 68°
C. 95°
D. 112°
Answer:
B.68.......................
Help me pleaseee
Math
Please number the question
For example
1+1
Answer for question 1 2
Answer:
6)b
7)a
8)a
9)a
1)c
2)a
3)c
4)b
5)b
how many legs does 32 cows have and how many does 32 ducks have
Answer:
32 cows have 128 legs altogether.
32 ducks have 64 legs altogether.
Answer:
128 and 64
Step-by-step explanation:
a cow has 4 legs
32 times 4 is 128 legs
ducks have 2 legs
2 times 32 is 64 legs
please vote me as brainliest!!!<3
Directions: Answeł the following qu
What is the value of this expression?
2 + 4 x 4 - 12
242
Answer:
242
Step-by-step explanation:
a)2+4×4-12
=2+16-12
=18-12
=6
Answer:
16
Step-by-step explanation:
You would need to use PEMDAS (parentheses, exponents, multiplication, division, Addition, Subtraction). 4x4=16 (2+16-12) 16+2=18 (18-12) =16. Hope this helps.
Simplify the expression below.
3(3x + 5) – 7x – 8
Answer:
2x+7
Step-by-step explanation:
[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} [/tex]
solve the proportion. Round to the nearest hundredth if necessary.
Find the value of x in the figure below.
Answer:
x=45
Step-by-step explanation:
You should follow the formula:
3x+3x+x+x=360
8x=360
x=45
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
5y + 17 + 16y = 17
217 + 17 = 17
21y = 0
y =
Divide both sides by 21
The regular price of an ice cream cone is $1.25 but on Monday it sells for $0.95. Karen and her friends bought 5 ice cream cones on Saturday, 3 on Sunday and 4 on Monday. Calculate the average price they paid for ice cream.
Answer:
$13.8
Step-by-step explanation:
I did the math
Carla can fill five glasses with every soda 20 seconds complete the table using equivalent ratios
Answer:
5:20
12:48
11:44
Step-by-step explanation:
I just multiplied them by 4
The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?
Answer:
6.4294 years
Step-by-step explanation:
45.1 million in 2009 -- 2.3% each year
In what year will the population exceed 52.2 million?
We use exponential growth formula
ξ(t) = y = ab^t
a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2
52.2/45.1 = (1.023)^t
We take log both side
Log(1.15742794) = tlog(1.023)
0.0634939619 = t0.00987563371
t = 0.0634939619/0.00987563371
t = 6.429355701569454
t = 6.4294 years
Enjoy? here a math question you guys might knoew
Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his telephone service. How much does Craig earn each month, in dollars