Answers
We're given
(0, 144)
(1, 48)
(2, 16)
(3, 16/3)
[tex]f(x) = a*b^x\\144 = a*b^0\\144 = a\\[/tex]
now that we know a, we can find b
[tex]f(x) = 144*b^x\\48 = 144*b\\b = \frac{48}{144}\\b = \frac{1}{3}[/tex]
[tex]f(x) = 144*(\frac{1}{3})^x[/tex]
Related Questions
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answers
Answer:
2.5 milesStep-by-step explanation:
Let the distance be x
Then Jonathan biked for
x/15 hoursHis mother drew for
x/25 hoursThe time difference is
1/15 hoursSo we have
x/15 - 1/15 = x/25(x - 1)/15 = x/2515x = 25x - 2525x - 15x = 2510x = 25x = 25/10x = 2.5 milesThe Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server?
Answers
Answer:
12.8$
Step-by-step explanation:
20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.
HURRY PLS You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute
deviation of at most 5 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.
Race times (minutes)
74 65 57 62
63 72 78 58
60 70 68 62
Answers
if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 .
Answers
Answer:
is that supposed to be a question
Divide. Write your answer in simplest form. 1/9 divided 5/4?
Answers
Answer: (1)/(9)-:(5)/(4)
Step-by-step explanation:
*^*^c(1)/(9)-:(5)/(4)*^*^
*^*^(1)/(9)-:(5)/(4)*^*^
*^*^The result can be shown in multiple forms. *^*^
*^*^Exact Form:4 45 *^*^
*^*^Decimal Form:
*^*^0.0 8
Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown. (4 z Superscript 8 Baseline) Superscript negative 3 = 4 z Superscript 8 times (negative 3) Baseline = 4 z Superscript negative 24 Baseline = StartFraction 4 Over z Superscript 24 Baseline EndFraction Which statement explains Mario's error?
Answers
Answer:
Step-by-step explanation:
Given the expression [tex](4z^8)^{-3}[/tex], to evaluate this, we will use one of the law of indices as shown;
[tex](a^m)^n = a^{mn}[/tex]
[tex]4^{-3} * z^{8*-3}[/tex]
[tex]= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}[/tex]
Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8
Answer:
The last one
Step-by-step explanation:
A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. List the facts. * 4c + 5 = 27
Answers
Step-by-step explanation:
Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as
4c+5 = 27
From the equation, the constant value of 5 represents the calories in grams of the rest of the ingredients present in the bite.
Let us calculate the value of c from the equation
4c+5 = 27
4c + 5- 5 = 27-5
4c = 22
c = 22/4
c = 5.5
This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate
Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.
please answer the questions circled aka: Lillie’s grandmother is making potato salad for a family reunion. She uses three potatoes for each person attending the dinner. If she expects 24 people to attend the reunion, which proportion can be used to solve for p, the number of potatoes? * AWNSER CHOICES ARE ON THE PICTURE and number 2: A 5 lb. package of chicken costs $6.00. What is the cost per pound? *
Answers
Answer:
c
Step-by-step explanation:
the second question 65cent
What is the product of 70 and 1.8 x 10^3 expressed in scientific notation?
Answers
Answer:
70 x 1800 = 126000=1.26 x 16^5
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
70 and 1.8 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be
⇒ 70 × 1.8 × 10³
⇒ 126 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Solve for x please help me
Answers
143cups + 1 1/3 cups
Answers
Answer: 144 1/3 cups
Step-by-step explanation: 143+1 1/3=144 and 1?3
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
(3, 2)
(2, -3)
(-3, 2)
(-2, 3)
Part: 2
△PQR is reflected across the y-axis. What is the coordinate for R' ?
(-3, -4)
(-4, 3)
(4, -3)
(3, 4)
Answers
Answer:
Part 1:
Q’ = (2, -3)
Part 2:
R’ = (-3, -4)
Hope this helps!
What is 4 divided by 3/5
Answers
Answer:
20/3 or 6 2/3
Step-by-step explanation: 4/1 times 5/3 multiply and you get 20/3
Answer:
6 2/3
Step-by-step explanation:
Solve the inequality:
2x−9≥17
Select one:
x≤13
x≥3
x≤3
x≥13
Answers
Answer:
x≥13
Step-by-step explanation:
add 9 to both sides
2x≥26
divide both sides by 2
x≥13
HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6
A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90
Answers
8/15 = x/6
Using cross multiplication let us find the value of x .
= 15 × x = 6 × 8
= 15x = 48= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )
= x = 3.2
Therefore , the equation that can be used to solve the proportion :-
B. 15x = 48Answer:
its B
Step-by-step explanation:
a) (x^2 + 1/2)^2
using the formula:
(a+b)^2= a^2+2ab+b^2
Answers
Step-by-step explanation:
(x^2+1/2)^2=(x^2)^2+2*x^2*1/2+(1/2)^2=
x^4+(2x^2)/2+1/4=
x^4+x^2+1/4
Answer:
x^4 + x^2 + 1/4
Step-by-step explanation:
[tex] {( {x}^{2} + \frac{1}{2} })^{2}[/tex]
a = x^2
b = 1/2
[tex] {a}^{2} + 2ab + {b}^{2} [/tex]
[tex] ({x {}^{2}) }^{2} + 2( {x}^{2} )( \frac{1}{2} ) + { \frac{1}{2} }^{2} [/tex]
[tex] {x}^{4} + {x}^{2} + \frac{1}{4} [/tex]
Which of the following is an arithmetic sequence? A. −2, −5, −8, −11, −14, −17, … B. 0, 5, 0, 10, 0, 15, … C. 2, 4, 8, 16, 32, … D. 5, 11, 17, 23, 29, 36, …
Answers
Choice D. Because in an arithmetic sequence, you add some value that we call common difference to the preceding term in order to get the proceeding term. Choice D looks like it because it starts at 5 and we add 6 to it it'll be 11 and another 6 it'll be 17 and so on.
Answer:
B
Step-by-step explanation: the common difference is 2.7
F(x)=e*1/x
Calculate f'(x)
Answers
Answer:
[tex]\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}[/tex]
Step-by-step explanation:
[tex](e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================[/tex]
[tex]f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}[/tex]
i can type 39 words 36 secs at this rate how many words will i type in one minute.
Answers
Answer:
65
Step-by-step explanation:
You can write it as a ratio. 39:36. You then have x:60. You can divide 36 by 60 and then divide 39 by that number (0.6)
Answer:
65 words perminute
Step-by-step explanation:
36/ 36=1
39/36= 13/12=1 1/12
1 1/12 x 60=65
Idk how to do this soooo helppp
Answers
Answer:
basically u do the formulas and plug them in.
Step-by-step explanation:
Help Me need help please it is due today please help ASAP
Answers
Answer:
87
Step-by-step explanation:
you subtract 3:32-2:45
PLEASE HELP, MARKING BRAINLIEST!!!!
These triangles are congruent by _____.
A. AAS
B. SAS
C. HL
D. Not enough information
Answers
Answer:
AAS
Step-by-step explanation:
Angles in left and right corner are congruent (isosceles triangle)
Two right angles in the middle
Round the factors and estimate the products.
a.
656 x 106 -
น
b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out
Answers
Answer:
a. 70,000
b. 24,000,000
c. 3,600,000
Step-by-step explanation:
You round all the numbers and multiply the rounded numbers.
So...
a. 656 = 700
106 = 100
7000*100= 70,000
b. 3108 = 3000
7942 = 8000
3000*8000= 24,000,000
c. 425 = 400
9311 = 9000
400*9000= 3,600,000
Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.
Step 1: y – (–2) = Step 1: y minus left-parenthesis negative 2 right-parenthesis equals StartFraction 3 Over 4 left-parenthesis x minus 3 right-parenthesis. (x – 3)
Step 2: y + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 3: y + 2 + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x – + 2
Step 4: y = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 5: f(x) = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Analyze each step to identify if Andy made an error.
Yes, he made an error in Step 1. He switched the x and y values.
Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly.
Yes, he made an error in Step 3. He should have subtracted 2 from both sides.
No, his work is correct.
Answers
answer is C
He made an error in Step 3. He should have subtracted 2 from both sides.
Answer:
c
Step-by-step explanation:
Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?
Answers
Answer:
E. 120
Step-by-step explanation:
A. 40
B. 72
C. 80
D. 100
E. 120
Let
x = the intended distance
y = length of the pool
She covers one fifth of her intended distance
Distance covered = 1/5 of x
= x/5
After swimming six more lengths of the pool she had covered one quarter of her intended distance
x/5 + 6y = 1/4 of x
x/5 + 6y = x/4
Collect like terms
6y = x/4 - x/5
6y = 5x - 4x/20
6y = x/20
x = 20 * 6y
= 120y
x = 120y
The intended distance Rebecca wants to cover = 120
What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answers
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15
Jill jumped 6 1 3feet in the long-jump event. Jill’s best friend jumped 6 5 7feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem
Answers
Answer:
Subtract 6.13ft from 6.57ft, and you should get .44 as your answer.
I need help asap for these answers
Answers
7. The width, w, of a bolt is supposed to be 2 cm, but it may have a 0.01-cm margin of error.
Solve the inequality lw - 2 30.01. What does the solution mean in this context?
PLEASE HELP
Answers
Answer:
to be honest.....I HAVE NO FRINKIN CLUE, i just answered to say that you have a cute name if thats your real name
Step-by-step explanation:
Congrats, you have reach the worlds biggest idiot
| CMON |
| LETS |
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Please I need some answers
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a is answer please tell brinlest answer