Answers
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
[tex]y=a(b)^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
[tex]10=a(b)^1[/tex] ...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
[tex]20=a(b)^2[/tex] ...(iii)
Dividing (iii) by (ii), we get
[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]
[tex]2=b[/tex]
Putting [tex]b=2[/tex] in (ii), we get
[tex]10=a(2)^1[/tex]
[tex]\dfrac{10}{2}=a[/tex]
[tex]5=a[/tex]
Putting [tex]a=5,b=2[/tex] in (i), we get
[tex]y=5(2)^x[/tex]
The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
Related Questions
E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)
Answers
Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
use the graph of the function f shown to determine the y intercept
Answers
Answer:
That's hard wish you the best tho.
Step-by-step explanation:
x/8.5=16/4
what's the answer
Answers
Explanation:
x/8.5 = 16/4
x/8.5 = 4
x = 4 x 8.5
x = 34
Dr. Victory is a psychologist studying the effects of high-level classes, bullying, and music classes on the anxiety levels of middle school students. He has previously determined that the effects from class levels, bullying experiences, and music classes are independent. It has been determined that the probability that a student is taking a high-level English class is 0.23, the probability that a student has been bullied is 0.36, and 1/3 of students are in music classes.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?
Answers
Answer:
a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class
Step-by-step explanation:
Probabilities of independent events happening together:
The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.
In this question:
0.23 probability that a student is taking a high-level English class.
0.36 probability that a student has been bullied.
1/3 = 0.3333 probability that a student is in music class.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
0.23*0.36 = 0.0828
0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
0.36*1/3 = 0.12
0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?
0.23*0.36*1/3 = 0.23*0.12 = 0.0276
0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class
I need the answer real fast PLZ
Answers
Answer:
54%
Step-by-step explanation:
I did the test.
A zoo has 15 toucans and 75 parrots What is the ratio of the number of toucans to the number or parrots in the zoo
Answers
Answer:
Since there is 15 toucans and 75 parrots the ratio would be written as
15/75
Step-by-step explanation:
As of 15 to 75. Then write out with a colon between the too! 15:75
Hope this helped and have a wonderful day!! <33
PLZ RESPOND AS SOON AS POSSIBLE
What point is located at (-2, -6)
a. F
b. G
c. H
d. K
Answers
The answer is for your question is letter k
Help Please!! Struggling with this for a while
Answers
Answer:
Area of triangle ABC = 6 square units
Step-by-step explanation:
By applying Pythagoras theorem in right triangle ADC,
AC² = AD² + CD²
3² = (1.8)² + CD²
9 - 3.24 = CD²
CD = √5.76
CD = 2.4 units
By applying mean ratio theorem,
[tex]\frac{AD}{CD}=\frac{CD}{DB}[/tex]
CD² = AD × DB
(2.4)² = 1.8 × DB
DB = [tex]\frac{5.76}{1.8}[/tex]
DB = 3.2 units
AB = AD + DB
AB = 1.8 + 3.2
AB = 5 units
Since, area of a triangle ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(\text{AB})(\text{CD})[/tex]
= [tex]\frac{1}{2}(5)(2.4)[/tex]
= 6 square units
Is this model a function?
Explain.
(Someone pls be a decent human being and not send links, all links will be reported)
Answers
Answer:
Yes, that model is a function.
Step-by-step explanation:
A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
And the model shows that each domain ( x ) only goes to one codomain ( y ) which is what a function is.
please help me how to get the answer for this one
Answers
Answer:
i say c sorry if im wrong
Step-by-step explanation:
So the answer is D
PLS HELP DUE SOON!!!
Answers
Answer:
its both.
Step-by-step explanation:
RNA and DNA are made up of nucleotide(s).
Answer: Both DNA and RNA
Step-by-step explanation:
SOME HELP HERE PLEASE?!!
Solve for x:
x+2 / x+5 = 2/3
A. -11
B. - 3
C. 2
D. 3
E. 4
Thanks!!
Answers
Step-by-step explanation:
Your answer is 4. Hope you like my answer.
Answer:
x+2 / x+5 = 2/3
2x + 10 = 3x + 6
•°• x =4
correct option → E
Hope it helped :)
answer all of them please
easy math questions for 20 points
Answers
2) 4
3) 60
4) 18
5) 6
6) 4
7) 9
8) 4
9) 4
10) $35
11) 8
12) 9
13) 56
14) 10000
15) 78
16) $50
17) 10
18) 1,2,3,4,6,12
19) 1,2
20) 1000
21) 8
22) 5
23) 12
24) 366
25) 35
The coordinates of D are
Answers
Answer:
The coordinates of D are -1,0
Step-by-step explanation:
I believe
What is the width of a rectangle with a length of 3/8 ft and and area of
4 square feet?
Answers
A: 4
W: 10.6666666668881
Explanation: 3/8ft x 10.6666666668881 = 4ft
Plz help!!!
Which equation represents the graph?
Answers
Answer:
Option C : y=|x|-6
Step-by-step explanation:
One-third of 1/2 cake =_____ cake.
Answers
Answer:
1/6
Step-by-step explanation:
1/3 x 1/2 = 1/6
1/3*1/2=(1*1)/(3*2)=1/6
Help me somebody pleaseeee
Answers
Hope you are doing well! :)
What is the measure of angle A? How do you know this?
HELPPP QUICK ANSWER BOTH PARTS
Answers
Answer:
x = 20 degrees
Step-by-step explanation:
We know this because angles next to each other in parallelograms add up to 180 degrees, so if we create an equation, 3x + 120 = 180 meaning that 3x = 60, which means that x = 20 degrees.
How many 5/6 s are in 3?
Answers
Step-by-step explanation:
If we think over it, we could recognise that this question is like
How many 3's are in 6?
Probably the answer is
2
, as
6
÷
3
=
2
So, we divide
1
by
5
6
→
1
÷
5
6
→
1
⋅
6
5
→
6
5
⇒
1
1
5
=
1.2
So, there are
1
1
5
number of
5
6
's in
1
Answer:
3/(5/6)
Step-by-step explanation:
multiply the numerator and denominator by 6
18/5
Write an equation that you can use to find the value of x.
The perimeter of the triangle: 16 in.
Answers
Answer:
This question seems incomplete
In the equation x +9x+ 20 = (x+ a)(x+b),b is an integer.
Find algebraically all possible values of b.
Answers
so the answer could be 4 or 5
Please help. I NEED GOOD GRADES
Answers
Answer:
The circle should be open and the arrow should go the other way.
HELP
Mrs. Tate's car has 11.25 gallons of gas in the tank and uses 0.05 gallons per mile. If Mrs. Tate uses 2.75 gallons driving home from visiting family, which of the following best describes all possible numbers of miles (m) she can drive after returning home before running out of gas?
A.
m > 170
B.
m < 170
C.
m < 280
D.
m > 280
Answers
Answer:
B
Step-by-step explanation:
11.25-2.75 = 8.5
8.5/.05 = 170
Answer:
Step-by-step explanation:
170
I need help I need the answer
Answers
Answer:
(4,4)
Step-by-step explanation:
because it's right in between the school and bank therefore equal distance to both
Answer:
(6,8)
Step-by-step explanation:
the same distance from bank to school (sorry if im wrong)
A recent report has shown that Nike's sneaker supply of the Air Jordan 1 was at 300,000
pairs in 2016. Because Nike wanted the Jordan 1 to be more of a rare shoe, the supply
of pairs started decreasing at a rate of 5% per year. At this rate, how many pairs of
Jordan 1s will be in production in the year 2030?
Answers
Answer: 90000 Pairs at 2030
Step-by-step explanation:
2030 - 2016 = 14
14 x 5 = 70
30% of 300k = 90000
what is the measure of angle p enter your answer as a decimal in the box round only your answer to the nearest hundredth
Answers
Explanation: We know that Angle Q is 90 degrees, so if given sides and one angle, you can use the law of sines to find the angle measurements.
Law of Sines: Sin A/a=Sin B/b=SinC/c
Which of the following rational functions is graphed below?
Answers
Answer:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
Step-by-step explanation:
Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.
A discontinuity in a rational function is a point in which the denominator of the function is 0.
For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
Which histogram correctly displays the information above
Answers
Answer: The answer is c
Gina will pay $14 for fabric at a crafting store. The tax rate is 8.5%. How much will she pay for her fabric including tax?
Answers
Answer:
$15.19
Step-by-step explanation:
8.5% = 0.085
0.085 x 14 = $1.19
1.19+14= $15.19
