Given:
[tex]R^2=0.92,a=8000,b=0.9[/tex].
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex]
To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex] ...(i)
We have, [tex]a=8000,b=0.9[/tex].
Substituting [tex]a=8000[/tex] and [tex]b=0.9[/tex] in (i), we get.
[tex]y_1\sim 8000(0.9)^{x_1}[/tex]
Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is [tex]y_1\sim 8000(0.9)^{x_1}[/tex].
A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?
I need help ASAP! picture below is what I need
Answer:
Evaluating the piecewise function when X =3, we get f(3) = 7
Step-by-step explanation:
Given the following piecewise function
f(x)= { 2x+1; where x > 0
-3 when x ≤ 0
Evaluate the function when X = 3
We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0
We can't use -3, because x ≤ 0, and 3 is not less than 0.
Now, evaluating the function:
[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]
So, Evaluating the piecewise function when X =3, we get f(3) = 7
HELP ASAP
a country's population in 1993 was 85 million.
In 1996 it was 90 million. Estimate
the population in 2015 using the exponential
growth formula. Round your answer to the
nearest million.
129 million I took the application already
Help with this plz bc I don’t want to get I trouble by my teacher
Answer:
c
Step-by-step explanation:
Answer:
The answer is C. She saves $150 every month
Step-by-step explanation:
Domingo is replacing the baseboards in his home and calculates that he will need 637.5 feet of wood. When he travels to the hardware store, he discovers that baseboards are sold in 7.5-foot lengths. How many boards will Domingo need to purchase?
Answer:
Number of boards= 85
Step-by-step explanation:
Giving the following information:
Total wood required= 637.5 feet of wood
The baseboards are sold in 7.5-foot lengths.
To calculate the number of boards, we need to use the following formula:
Number of boards= total wood required / foot per board
Number of boards= 637.5 / 7.5
Number of boards= 85
How do you know that ∠x ≅ ∠y?
Question 21 options:
Vertical angles are congruent.
Opposite angles are congruent.
Reflexive angles are congruent.
Inverse angles are congruent.
Answer:
opposite angles are congruent
Step-by-step explanation:
angle x and angle y are opposite angles
A. According to the graph, are John and Collin saving or spending money?
a.Saving
b.Spending
c.Idunno
B. How much money did each person start with?
a.John 60, Collin 80
b.John 80, Collin 60
c.John 4, Collin 6
d.Collin 6, John 4
C. How many days does it take John to spend all his money?
D. How many days does it take Collin to spend all his money?
E. Find the solution to the above system (answer is on ordered pair):
F. At what day does John and Collin have the same amount of money? Day
G. On the day they they have the same amount of money, how much do they each have? _____ dollars
Can someone explain how I should solve this?
will mark brainiest
Answer:
I am sure the answer is 36
Step-by-step explanation:
what expression is equivalent to 2m (32m + 1) + 3 (53 - 2)
Answer:
64m2+2m+255
Step-by-step explanation:
will give brainly to second person who answers this
Answer:
What
Step-by-step explanation:
Dividing with remainders
Tia is planting her garden with 15 plants. She wants them
planted in equal groups of 4. How many groups of 4 can she
make? How many plants will she have left over?
Answer:
im not sure but i think 3
Step-by-step explanation:
Micheal drove 936 miles in 13 hours at the same rate,how many miles would he drive in 9 hours
Answer:
The answer is 648 miles.
Step-by-step explanation:
936miles= 13 hours
? = 9 hours
936/ 13 = 72
72miles in 1 hour
72 x 9 = 648
648 miles in 9 hours
I WILL GIVE BRAINLIEST ihrugq'iu;igig54i;gtq;ha;gv
Diego wrote the inequality 5m + 10 ≤ 130 to represent m, the number of minutes he spent doing homework for one class. Which is the greatest amount of time he could have spent doing homework for each subject?
28 minutes
23 minutes
20 minutes
24 minutes
What is the slope of the line x = 4?
Answer:
its undefined
Step-by-step explanation:
Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.
Complete question : Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.
Answer:
2.2 mph ; 4.4 mph
Step-by-step explanation:
Given that :
Total distance apart = 33
Time taken = 5 hours
Rate of slow hiker = x
Rate of fast hiker = x + 2.2
Speed (rate) = distance / time
Distance = speed * time
Distance covered by fast hiker + distance covers by slow hiker
(x + 2.2)*5 + 5x = 33
5x + 11 + 5x = 33
10x = 33 - 11
10x = 22
x = 22 / 10
x = 2.2
Rate of slow hiker = 2.2 mph
Rate of fat hike = x + 2.2 = 2.2 + 2.2 = 4.4 moj
Find the roots for y = (2x-3)(x+5) (The x values)
Answer:
x = [tex]\frac{3}{2} , -5[/tex]
Step-by-step explanation:
We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.
The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.
1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:
[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]
Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.
2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:
[tex]x+5 = 0\\x = -5[/tex]
Therefore, -5 is a root as well.
The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.
A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.
Answer:
Step-by-step explanation:
solve 3 square root of (x minus 4) plus 7 equals negative 14. please show your work. this is due sunday.
Step-by-step explanation:
3√(x - 4) + 7 = -14
3√(x - 4) = -21 (subtract 7 from both sides)
√(x - 4) = -7 (divide 3 on both sides)
However √y is non-negative for all values of y in the domain of √y.
Hence there is no real solution for x.
Original price of a kitten: $145.00
Discount: 11%
What is the selling price
Answer:
129.05 is your answer.
Step-by-step explanation: Final price: $129.05
Saved amount: $15.95
x3−2=10 help plz i need help
Really need your help
Answer:B and D yes, A and C no
Step-by-step explanation:
pls brainliest
I WILL GIVE BRAINLIEST
What is 10,000,000 written as a power of 10?
710
810
107
108
Answer:
[tex]10^7[/tex]
Step-by-step explanation:
There are [tex]7[/tex] zeroes in the number [tex]10,000,000[/tex]. Therefore, [tex]10,000,000[/tex] can be written as [tex]\fbox{$10^7$}[/tex].
*Any number written as [tex]10^n[/tex] will be equal to [tex]1[/tex] followed by [tex]n[/tex] zeroes.
Answer:10^7
Step-by-step explanation:
Identify the correct corresponding parts
Answer:
The correct corresponding part is;
[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
Step-by-step explanation:
The information given symbolically in the diagram are;
ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)
Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])
Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])
From which, we have;
∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∠B ≅ ∠D by CPCTC
Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC
Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]
Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]
Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
Can someone help me please?
Answer:
it A ;)
Step-by-step explanation:
Find the values of x and y.
Answer:
x=30° y=5
Step-by-step explanation:
All sides of the top triangle are equal. And all angles are equal Since it's an equilateral triangle.
so
8y=40
y=40/8
y=5
Since it's an equilateral triangle. All angles are equal And each angle has dimensions
=180°/3=60°
The angle of the straight line = 180°
so The obtuse angle of the lower isosceles triangle is 180°-60°=120°
The angles at the base of the isosceles triangle are equal
so 2x° = 180°-120°
2x°=60°
x°=60°/2
x°=30°
what's the value of x 16x+9
Answer:
x2+16x=9 x 2 + 16 x = 9. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b . (b2)2=(8)2 ( b 2 ) 2 . x^2+16x+9=0
Step-by-step explanation:
if this is not
Derek is selecting a sock from his drawer .He chooses a sock at random and then selects a second sock at random .what is the probability that Derek selected a striped sock both times
Answer: 1/15
Step-by-step explanation:
The number of striped socks is 2 while the number of total socks are 6. If he chooses a striped socks at first, that will be 2/6.
If he chooses it the second time, the probability will be 1/5 since there'll be 5 socks left and 1 striped.
The probability that Derek selected a striped sock both times will be:
= 2/6 × 1/5.
= 2/30
= 1/15
I don't know how to do these I have online schooling and I need this asap please any help be amazing
What is the area of this figure?
10 cm
7 cm
6 cm
17 cm
10 cm
4cm
Answer:
285,600
Step-by-step explanation:
I calculated it I am pretty sure I am correct
Answer:
110
Step-by-step explanation:
I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.