Answers
Answer: 909.03
Step-by-step explanation:
We know that the equation is an exponential function, it can be written as y=ab^x
[tex]100 &=a b^{6.5} \dots \mathrm{Equation \ 1} \\11 &= a b^{1} \\[/tex]
[tex]\Rightarrow ab^1=11[/tex]
[tex]\Rightarrow \frac{ab^1}{b}=\frac{11}{b};\quad \:b\ne \:0[/tex]
[tex]\Rightarrow a=\frac{11}{b}[/tex]
a = 11/b, substitute it in equation 1
[tex]100 &=a b^{6.5}[/tex]
[tex]\Rightarrow 100=\left(\frac{11}{b}\right)b^{6.5}[/tex]
[tex]\Rightarrow 100b=11b^\frac{11}{2}[/tex]
[tex]\Rightarrow 11\sqrt{b^{11} } =100b[/tex]
[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]
[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]
[tex]\Rightarrow {b^{11} } =\frac{10000}{121}}[/tex]
[tex]\Rightarrow {b} =\frac{\sqrt[11]{10000 \cdot 11^9} }{11}[/tex]
[tex]\Rightarrow {b} = 1.49379[/tex]
a = 11/b
a = 11/(1.49379)
a = 7.36382
Equation: y = (7.36382)(1.49379)^x
Now plug in 12 for x:
[tex]\Rightarrow { \left(7.36382\right)\left(1.49379\right)^{12}[/tex]
[tex]\Rightarrow 7.36382\cdot \:1.49379^{12}[/tex]
[tex]\Rightarrow 7.36382\cdot \:123.44530\dots[/tex]
[tex]\Rightarrow 909.03[/tex]
Therefore, f(12) = 909.03 for the exponential function
Related Questions
The boys track team needs to keep a count of how many laps they run at practice so they know the distance. Each lap is 400 meters. What is the difference between the teammate who ran the furthest and the teammate who ran the least distance?
Answers
Answer:
9 laps or 3600 meters.
Step-by-step explanation:
First you want to find who has ran the furthest and the least distance.
So we have Rory ran the most with 14 laps or 5600 meters and Daniel who ran the least with 5 laps or 2000 meters.Next we subtract becuase when you say to "find the difference" it means to subtract.We subtract if you want to find the laps we do 14-5 and if you want to find the number of meters we do 5600-2000.
What is the area of the triangle?
4.5 square cm
108 square cm
54 square cm
21 square cm
Answers
Answer:
the area is 54
Step-by-step explanation:
please help im pretty bad at math so if you could do this ill give brainliest
Answers
If I figure out the other answers Ill edit this post
#1
32/4=8
16×1/2×-2=-16
Answer=8×-16=-128
#2
20 ÷ (5 x 2/5) + 3
20 ÷ (2) + 3
10 + 3
Answer=13
Answer:
Q1 = 62
Q2 = 13
Q3 = 6
Q4 = 18
Step-by-step explanation:
Was having trouble looking at the images and couldn't tell if it was a + or a division sign.
Hamid's soccer game is 2 hrs. and 15 mins. long. The game starts at 11:00 A.M. The park closes at 6:30 P.M. Each soccer game is the same as Hamid's game. How many more games can be played before the park closes?
Answers
Answer:
e
Step-by-step explanation:
Soccer game lasts 2 hours and 15 minutes
The game starts at 11:00 A
The park closes at 6:30
The first thing we need to do is to find when Hamid's soccer game finishes
2 1/4 + 11:00 = 13 1/4 = 1:15
(uh so don't know if this is the correct formula for finding time but the answer is correct)
Guessing that each game lasts 2 hrs and 15 mins, we do the same thing
1.25 + 2.25 = 3.75 = 3 3/4 = 3:45
(i added decimals bc i find it the easiest way for me) 1 game
3.75 + 2.25 = 6 (another game)
The answer is 2 games including Hamid's soccer game.
Hope this helps :)
If you had a coupon for $0.25 off a box of dog treats would this change the answer for which is the better buy? Give an example.
Answers
Answer:
I don't understand the question could you explain further
Step-by-step explanation:
A small theater had 7 rows of 26 chairs each. Workers just removed 9 of these chairs. How many chairs are left?
Answers
Answer:
173
Step-by-step explanation:
7 x 26 = 182.
182 - 9 = 173
Answer:
173 chairs are left
Step-by-step explanation:
7*26 = 182
182-9 = 173
Mark as brainliest please!
HELP 30 POINTS
The model for long term average temperature f (x), in degree celsius, at the wilburn airport is represented by the equation f(x)=5cos(x/12)+14.5. If x represents the month of the year, in which months will the temperature be 17°C?
A. x=pi/3+24pi(n) and x=5pi/3+24pi(n)
B. x=pi/3+2pi(n) and x= 5pi/3 + 2pi(n)
C. x=4pi + 24 pi(n) and x = 20pi + 24 pi(n)
D. 4pi+2pi(n) and x=20pi +2pi(n)
Answers
Answer:
i think that the answer is b
Step-by-step explanation:
Answer:b not 100% sure tell me if I’m wrong
Step-by-step explanation:
Some blocks are stacked as shown. If the face of each block is a square and each block represents one cubic unit, what is the surface area of the figure formed by the blocks?
A. 30 square units
B. 28 square units
C. 24 square units
D. 21 square units
Answers
Answer:
B
Step-by-step explanation:
i did the quiz.
If you count all the cubes sides of each cube you will get 28
Question 6 of 10
The table shows how many males and females attended two different
movies. How would you find the joint relative frequency of being female and
attending an action movie?
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479
A. Divide 99 by 250.
B. Divide 204 by 250.
ООО a
C. Divide 99 by 479.
9
D. Divide 99 by 204.
Answers
Answer:
A
Step-by-step explanation:
I didn't learn jrf, but I believe that it is the amount of females that watch action movies divided by the total amount of females.
Amount of females who watch action movies= 99
Total females= 250
So, A seems correct.
The joint relative frequency of being male and attending a drama film, divide 124 by 229.
What is Relative Frequency?The number of times an event occurs divided by the total number of events occurring in a particular scenario is described as relative frequency.
Two things must be understood in order to compute the relative frequency:
Total number of events/trialsA category or subgroup's frequency countAction Drama Total
Male 105 124 229
Female 99 151 250
Total 204 275 479
The joint relative frequency is the frequency in a given category divided by the total number of data values.
Here, The total number of males = 229
and, the number of males that like drama = 124
To calculate the joint relative frequency of being male and attending a drama film, divide 124 by 229.
Learn more about Relative Frequency here:
https://brainly.com/question/29739263
#SPJ7
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points)
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3: = -5x/-5=53/-5
Step 4: x = -53/5
Answers
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25 WRONG
- 5x - 25 = 78
- 5x - 25 + 25 = 78 + 25
- 5x = 103
x = - 103/5
x = - 20,6
Answer:
Step-by-step explanation:
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25 <== this is where the error was made.
Step 2: −5x = 53
Step 3: = −5x/−5=53/−5
Step 4: x = −53/5
Right steps:
−5x − 25 = 78
Step 1: −5x − 25 + 25 = 78 + 25
Step 2: −5x = 103
Step 3: −5x/−5 = 103/−5
Step 4: x = 103
Step 1 was where the error was, because she subtracted 15 from both sides instead of adding 15, so they cancelled out.
Hope this helps!
This chart shows the number of eggs laid each month by my pet chicken, Drakestail:
(picture below)
What is the greatest average number of eggs per month laid by Drakestail during a period of 5 consecutive months?
("Consecutive" means "back to back". For instance, January and February are consecutive, but January and March aren't.)
ASAP PLEASE! GIVING OUT 20 POINTS
Answers
Answer:
there isn't a picture
Step-by-step explanation:
so yeah
can someone please do this fast
Answers
Answer: 2, 8, 96cm^2, 35 miles
Explanation:What we know:
We need to solve all of the given problemsWe have the information we needWe can use ratios to our advantageHow to solve:
By using our knowledge of ratios and substitution, we can solve these problems.
Process:First problem
Set up ratio 7.5:15
Find GCF (7.5:15)/7.5
Simplify 1:2
Solution: 2
Second problem
Set up equation (x/10) = (6/7.5)
Rewrite (x/10) = (60/75)
Simplify (x/10) = (4/5)
Common denominator (x/10) = (8/10)
Isolate variable [(x/10) = (8/10)]*10
Simplify x = 8
Solution: 8
Third Question
where x represents the new width, y represents the new length, and A represents the new area.
Set up equation A = xy
Substitute A = (2*4)(2*6)
Simplify A = (8)(12)
Simplify A = 96
Solution: 96 cm^2
Fourth Question
Where x represents the unknown length in miles
Set up equation (21:3) = (x:5)
Rewrite in fraction form [(21/3)] /3 = (x/5)
Simplify (7/1) = (x/5)
GCF 5(7/1) = (x/5)
Isolate variable [(35/5) = (x/5)]*5
Solution: 35 miles = x
Answer: 2, 8, 96 cm^2, 35 milesCheck:Problem 1:
If the scale factor is 2, then the area of a square with the side measurement of 7.5 units should be (due to areas being squared) 1/2^2 of the square with the side measurement of 15 units. Let's solve this:
(1/2^2)(15*15) = (7.5*7.5)
(1/4)(15^2) = (7.5^2)
225/4 = 56.25
56.25 = 56.25
Therefore, a scale factor of 2 is correct.
Problem 2:
If x = 8, then 8/10 should equal 6/7.5. Let's solve this:
when x = 8:
8/10 = 6/7.5
0.8 = 0.8
Therefore, x = 8 is a correct solution.
Problem 3:
If a scale factor of 2 creates the new area of 96 cm^2, then the old area of (6*4) should be (due to areas being squared) 1/2^2 of the new area. Let's solve this:
(1/2^2)(96) = (6*4)
(96/4) = 24
24 = 24
Therefore, the new area is 96 cm^2.
Problem 4:
If the houses are 35 miles apart, then 3 in./21 mi. should be equal to 5 in./35 mi. Let's solve this:
(21/3) = (35/5)
7 = 7
Therefore, the houses are 35 miles apart.
(-8+1.5)x4/5
Help please
Answers
Answer:
-5.2
Step-by-step explanation:
-8+1.5 = -6.5
-6.5 * 4/5 = -6.5 * 0.8 = -5.2
which graph shows the solution to y < -4?
Answers
Hello !
[tex]\huge \pmb {\boxed {\frak{Proof \: is \: shown \: below :}}}[/tex]
Your answer is B.
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Dollixna ~
The given inequality y < -4 is shown in the attached graph. The correct answer would be an option (B).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Inequalities with "< or > "symbols are shown with a dashed line to indicate that the line is not inside the area. Inequalities involving symbols are depicted with a solid line to indicate that the line is included in the region.
We have been the given inequality y < -4
Rearrange the equation such that "y" is on the left and all other variables are on the right.
Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).
Hence, the given inequality y < -4 is have shown in the attached graph.
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
The number a is less than the number b by 1/5 of b. By what part of a is b greater than a? Need help ASAP. Have to get this done in 20 minutes.
Answers
Answer:
The number b is bigger than the number a by 1/4 of a.
Step-by-step explanation:
If the number a is smaller than the number b by 1/5 of b, then
a + 1/5b = b.
Thus,
a= b - 1/5b= 4/5,
b= 5/4 a.
Consider the Expression b=5/4a:
b=5/4a= 4/4a+ 1/4a= a +1/4a
This gives that the number b is bigger than the number a by 1/4 of a.
I will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
Part - A = mark, 2 on X axis and 5 on Y axis
Part - B = mark lily on 6 on Y axis and on 5 on X - axis in the graph now
Answer:
*Brainliest would be appreciated.
Step-by-step explanation:
4:00 pm - 8:00pm
Is how many hours?
Answers
Answer:
4
Step-by-step explanation:
1 hour = 60 mins.
60 + 60 + 60 + 60 = 240 mins.
4 pm to 8 pm is 4 hours.
What is the surface area of this right prism?
Enter your answer in the box.
cm²
Answers
Answer:
the answer is166 cm²Step-by-step explanation:
we know that
surface area of the prism=2*area of the base+perimeter of the base*height
step 1
find the area of the base
area of the base=length* width
length=5 cm
width=4 cm
area of the base=5*4-----> 20 cm²
step 2
find the perimeter of the base
perimeter=2*[length+width]-----> 2*[5+4]----> 18 cm
step 3
height=7 cm
step 4
find the surface area
surface area of the prism=2*area of the base+perimeter of the base*height
surface area of the prism=2*20+18*7----> 166 cm²
Please try your best and show your work and I will give brainliest!
The table below shows the number of pencils of each color for all 25 pencils in a box.
Pencils in the box
Color Number
Red 11
Blue 11
Green 3
The likelihood of an event occurring may be described as certain, more likely, equally likely, less likely, or impossible.
Part A:
A single pencil is drawn from the box. Describe the likelihood that the pencil is black. Explain your reasoning.
Part B:
The pencils have all been placed in the box. Compare the likelihood of drawing a red pencil to the likelihood of drawing a blue pencil from the box. Show your work and/or your reasoning.
* The original 25 colored pencils have all been placed back in the box and another 11 colored pencils have been added to the box. The new pencils are either red, blue or green. The likelihood of drawing a green pencil is now greater than the likelihood of drawing a red pencil, but less than the likelihood of drawing a blue pencil.
Part C:
How many colors of each pencil were added to the box. Explain how you know that your answer is the only possible outcome that meets all the conditions.
Answers
Answer:
Part A: impossible
Part B: Either equal or blue
Part C: 9 green and 2 blue were added
Step-by-step explanation:
Part A:
The only colors included in this problem are red, blue, and green. There is no black colored pencil, therefore, it is impossible to get one from the box.
Part B:
I'm not sure what you're asking in this question, but I will give you the two choices. If it is before the additional 11 colored pencils are added to the box, the chance of drawing a red and the chance of drawing a blue will be equal, because both of them have 11 of each color. If it is after the additional 11 colored pencils are added to the box, then the chance of drawing a blue colored pencil will be greater than the chance of drawing a red colored pencil. After the 11 colored pencils are added, there are 13 blue and 11 red. The blue is greater.
Part C:
The least number of green colored pencils added has to be 9, because the chance of drawing a green pencil is now greater than the chance of drawing a red pencil. If we add 8 more green pencils, the likelihood would be the same. Therefore, the number of green colored pencils added has to be at least 9. If we have the last 2 colored pencils be blue, then there would be 11 red, 13 blue, and 12 green. This fits all the conditions, therefore, adding 9 green colored pencils and 2 blue colored pencils is the answer.
I hope this helps and please mark me as brainliest!
Answer:
just adding an answer so u can give the other person brainliest x btw thanks to the other person sm!
Step-by-step explanation:
Please answer the question down below:
Answers
Answer:
angle x = 92 degrees
Step-by-step explanation:
Supplementary angles equal to a sum of 180 degrees. So subtract angle y (88 degrees) from 180 to gwt angle x.
Answer:
92
Step-by-step explanation:
180 - 88=92
Please help me with this question!
(Image attached)
Answers
Step 1: Find the area of the rectangle
Area of a rectangle = base x height
Area of the rectangle = 4 x 10 = 40
Step 2: Find the area of the half-circle
Area of a circle = pi x r^2
---In this case, since we only have half of a circle, we will need to divide the area by 2 (or multiply by 1/2).
---We are also only given the diameter here. The radius of a circle is half of its diameter, therefore the radius of this half-circle is 5.
Area of the half-circle = (pi x 5^2) / 2 = (3.14 x 25) / 2 = (78.5) / 2 = 39.25
Rounded area of the half-circle = 39.3
Step 3: Find the area of the figure
Now that we know both parts of the figure, all that's left to do is add them together to find the total area.
40 + 39.3 = 79.3
Answer: 79.3
Hope this helps!
Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. (Use 3.14 for pi.)
Answers
V = 4/3 x pi x r³
V = 4/3 x 3,14 x 2³ = 33,50 in³
To the nearest tenth, what is the area of a circle whose diameter is 4.4 feet?
Use 3.14 for π.
Enter your answer in the box.
ft²
Answers
Answer:
15.21= 15.2 when rounded
Step-by-step explanation:
the formula for finding the area of a circle with the diameter is
A= 1/4 × π ×d^2
Answer:
15.21
Step-by-step explanation:
In order to find the area, you must find the radius first.
The diameter (4.4) divided by 2 = radius (2.2)
The area of a circle is pi times the radius squared ([tex]A = \pi r^{2}[/tex]).
In this situation, r, or radius =2.2.
[tex]A = \pi 2.2^{2}[/tex]
[tex]\pi[/tex][tex]2.2^{2}[/tex]= the area, 15.2053084434.
By rounding to the nearest hundredth, you get 15.21. The second number after the decimal is your hundredths place. If the number after the decimal is 4 or less, just remove all of the digits to the right. If it's five or more, like this case where it is 7, you add 1 to the hundredths place, then you remove all of the digits to the right.
Factor the expression using the GCF.
4m+32
Answers
In order to factor this expression, we should divide both terms of this binomial (a polynomial with 2 terms) by 4 (the greatest common factor)
Note:- We usually factor out the Greatest Common Factor, or the GCF.
Divide:-
m
8
Add the terms:-
m+8
Put parentheses around them:-
(m+8)
Put 4 outside the parentheses:-
4(m+8)
notes:-If you wonder whether or not you've factored correctly, you can use the distributive property & distribute :)
32 = 1,2,4,6,8,16,32
We can see that the gcf is 4
divide 4m by 4 which is m
divide 32 by 4 which is 8
which will come out to be 4(m+8)
hope this helps.
There is a proportional relationship between the revenue (in dollars), y,
and the number of whistles Glados sells, x. She sells 98 whistles for
$980.
Graph this proportional relationship.
Answers
Which situation could NOT represent a proportional relationship?
Answers
Explanation: to find whether two instances are proportional, find the rate of change for each situation. Simply divide both numbers from both situations and if the numbers are not the same they are not proportional.
Please help. I will give Brainliest:
Subtract. Write your answer in simplest form.
9 1/2 - 1 6/7
Answers
Answer:
7 9/14
Step-by-step explanation:
im 90% sure this is right
Answer:
The answer is 7 9/4
Step-by-step explanation:
Charisma is getting a gumball out of the gumball machine. There are 24 red gumballs, 20 blue gumballs, 14 yellow gumballs, 17 purple gumballs, and 15 white gumballs in the machine. What is the probability that Charisma gets a gumball that is not yellow?
Answers
Answer:
38:45
Step-by-step explanation:
First, add them all together. This is 90. Next, subtract 14. This is 76. Now simplify. I could only simplify down to 38:45
Hope this helps:)
hi i need help can somebody answer this question and give an explanation
Answers
Answer:
0.30
Step-by-step explanation:
Each marker costs 30 cents each (0.30$)
you have to divide the amount of money (6) by the amount of markers (20)
6 ÷ 20= 0.30
ONLY answer if you know what the answer is. If you are not sure DONT FREAKING ANSWER.
Answers
Answer:
<
Step-by-step explanation:
The reason why this is your answer is that because the two numbers are in Negatives, the higher the number closer to 0, the larger than it is to a number farther to zero on the left side of the number line.
so hence, your answer is <
-------------------------------------------------------------------------------------------------------------
"The beautiful thing about learning is that no one can take it away from you."
B.B.King
Answer:
<
Step-by-step explanation:
-4 < -1
Note:
< → Less than
> → Greater than
= → Equal
Explain:
if you put -4 and -1 on a number line it on the left. But -4 is more on the left than -1. Thus, we can know that -4 is less than -1.
Refer to the number line below:
~lenvy~