Answer:
f(5.5)≈27.32
Step-by-step explanation:
The exponential function which satisfy the f(4.5) = 23 and f(8) = 42 will be 10.60([tex]1.19^{x}[/tex]).
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
Suppose the exponential function is f(x) = a[tex]b^{x}[/tex].
As per the given,
f(4.5) = 23
Put x = 4.5 as
23 = a[tex]b^{4.5}[/tex] (1)
As per the given,
f(8) = 42
Put x = 8 as
42 = ab⁸ (2)
Divide equation (2) by (1) as,
ab⁸ / a[tex]b^{4.5}[/tex] = 42/23
[tex]b^{8-4.5}[/tex] = 42/23
b = 1.19
Again put into (2)
42 = a(1.19)⁸
a = 10.60
Thus, the function will be f(x) = 10.60([tex]1.19^{x}[/tex]).
Hence "The exponential function which satisfy the f(4.5) = 23 and f(8) = 42 will be 10.60([tex]1.19^{x}[/tex])".
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Help help help help help
Answer:
the answer is C
Step-by-step explanation:
Answer:
c
you neeed to do the INVERSE option
* is into /
+ is into -
- is into +
/ is into*
HELP PLEASE
Leanna opens a savings account with an initial balance of $100. She then
deposits $50 each month. She currently has $450. How many months has she
been saving for?
Answer:
7
Step-by-step explanation:
450-100=350
350/50=7
7 months
Leanna has been saving for 7 months to have the balance of $450.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as linear equation in one variable.
Let's suppose the Leanna has been saving the money for 'x' months
It means total months = x
Intial balance = $100
Each month she deposit = $50
After x months she will have = $450 (with initial balance)
We can frame a linear equation in one variable such that:
50x = 450 - 100 (without initial balance)
50x = 350 (divide by 50 on both sides)
x = 7 months
Thus, Leanna has been saving for 7 months to have the balance of $450.
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Which statement is true about minus 14 and minus 8?
Answer:
minus 14 less than minus 8 because minus 14 is located to the left of minus 8 on the number line.
Step-by-step explanation: Hope this is right! and I hope it helps you UwU
Solve for x.
5x + 3 = 2(x + 3) + 3x – 6
9514 1404 393
Answer:
no solution
Step-by-step explanation:
We can eliminate parentheses and collect terms.
5x +3 = 2x +6 +3x -6
5x +3 = 5x
3 = 0 . . . . . . . . subtract 5x from both sides
There is no value of x that will make this true. There is no solution.
Answer:
No solution
Step-by-step explanation:Does that make sense to u, You distribute 2 with x and 3 which gets you 2x+6. Combine like terms and you will get 5x on the right side, since the 6's cancel out. 5x+3=5x.
X cancels out and u are left with 3=nothing which makes it no solution
Which figure has a line of symmetry and rotational symmetry
Answer:
a i believe
:D glad to help you!!!
Answer:
A
Step-by-step explanation:
I'm begging you please help me!!! Thank you! ♡
Eliza fell asleep at 9:35PM. She awoke 8 hours 45 minutes later. What time did Eliza wake up?
Answer:
She would have woken up at 6:20 AM
Step-by-step explanation:
Answer:
6:20am
Step-by-step explanation:
Hope this helps!
Please help
Factor 5x^2-11x+6. Rewrite the trinomial with the X-term expanded using 2 factors
The answer starts as 5x^2_______+6
Answer:
[tex]5x^2-5x-6x+6[/tex]
Step-by-step explanation:
[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]
we need to factorize it so the X-term expanded should satisfy two conditions
1) +5 times +6 should be +30
2) add or subtract any two numbers which multiply and give -11
so here -5 times -6 gives +30 and -5 added to -6 equals -11
Which fraction converts to a terminating decimal number?
OA.1/6
OB.2/9
OC.3/8
OD.4/7
hello!! how do you find y intercept
Answer:
you find the point where the line intersects
2. AABC is an isosceles triangle. Find the length of AB.
5x+7
B
5x - 6
3x + 4
С
The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?
Step-by-step explanation:
Since X : Y = 1 : 2, X = 0.5Y.
Since Y : Z = 2 : 5, Z = 2.5Y.
We have X + Y + Z = 4Y = 40. Hence Y = 10.
[tex]y=10[/tex]
Ratio:A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4) (or 4:7).A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.Solution -
Given -
[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]
To find - [tex]y[/tex]
Since,
[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]
Therefore, [tex]y=10[/tex].
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NEED HELP PLEAS NEED TO PASS THIS
The slope of the line that passes through the points (0,3) and (5, 13) is?
Answer:
its not there bud
Step-by-step explanation:
Just help me pls and thank u
two angles from a linear pair. the measure of one angle is 2/3
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
473 heartbeats in 5 1/2 minutes
Answer:
86 heartbeats per minute
Step-by-step explanation:
i assume that's your question?
the number of heartbeats per minute is 86.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes
Number of heart beats per minute = Total number of heart beats ÷ Number of minutes
= 473÷ 11/2
= 473×2/11
= 43×2
= 86 beats per minute
Therefore, the number of heartbeats per minute is 86.
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Jeff and kevin went to the fair with $20 each. They paid $6 for two rides, $2 for cotton candy and bought two drinks at $3 each. How many money do they have left over?
Answer:
Jeff and Kevin have $20 left
Step-by-step explanation:
do (20+20)-(6+6)-2-(3+3)=20
I NEED HELP PLSSSSSSSSS……………
Answer:
4n+2 (B)
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
because the value of terms are going up by 4 every time, so if you subtract 4 you get 2 and the position would be 0 making 2 the y-intercept and then slope is= rise/run and the equation is rising 4 units for every 1 unit moved, so the slope is 4/1 or 4. plug all of that into the equation and you get 4n + 2
The 984 km trip takes a plane 2 hours and 24 minutes when flying against the wind. The
same trip takes 1 hour and 36 minutes with the wind. How fast would the plan be in still
air?
Answer:2 hours.
Step-by-step explanation: The wind adds 24 minutes of flying time when going against it, and takes 24 minutes going with it.
Given the triangle below, what must be the value of x? Use the scratchpad tool, if needed.
Please i need help!!
Answer:
8x
Step-by-step explanation:
Hope this helps:)
Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
whats the percent increase from 45 to 56
Answer:
24.44%
Step-by-step explanation:
1) Find the difference between 45 and 56 as a number.
2) Divide the result from Step 1 by the starting number 45.
3) Multiply the result from Step 2 by 100 to get it in terms of percent.
The three steps above can be made into a formula. Thus, to find the percent change from 45 to 56, we use this formula:
((Y-X)/X)*100 = Percent Change
X is the starting number 45, and Y is the ending number 56 that it changed to. When we enter these numbers into the formula, we get:
((56-45)/45)*100 = 24.44%
Thus, the answer to the question "What is the Percent Change from 45 to 56?" is:
Andy found these used car prices in the newspaper
Answer:
Good for him also there is no question
Step-by-step explanation:
Answer: whats the car prices that was in the news paper
Step-by-step explanation:
Solve the system by substitution
x=y
6x-3y=30
Answer: (x, y) = (10, 10)
Since x = y, replacing y with x in 6x - 3y = 30 we have 6x - 3x = 3x = 30, so x = 30/3 = 10. Then y = x = 10, so the solution is (10, 10).
i hope this helps! :D
The formula for the volume of a cylinder is V=πr2h. where r is the radius of the cylinder, and h is the height of the cylinder. Rewrite the formula to solve for h in terms of r and V.
h = ?
please help
Please help me with this. I forgot to do my warm up this week!!! I have two screenshots bc I couldn´t fit the whole question in.
Answer:
A
Step-by-step explanation:
well since it is 130 per month, the first month would be 130, then the second month would double to 260 and etc.
What is the slope of the line in the graph?
Answer: 1
Step-by-step explanation:
Slope=rise/run
Here we rise 2 and run 2
2/2=1
Answer:
1
Step-by-step explanation:
The first thing you would want to do is know that the slope is the change in y over the change in x. for this line, it goes up one, over one. so your slope is just one. if you were to write the slope-intercept form equation, it would be y=x+1
Can you guys please help me
Answer:
9 < [tex]\sqrt{82\\}[/tex] < 10
Step-by-step explanation:
The sqrt of 82 is rounded to 9.1. The two integers above and below it are 9 and 10.
I hope this helps!
will give brainliest if it is the correct answer and explained and a lot of points
Answer:
18
Step-by-step explanation:
Area = base x height
So you would start by multiplying you 2 side lengths given:
Area = 2 sqrt 3 x sqrt 27
2 sqrt 3 x sqrt 27 = 18
Once multiplied, you will get you area. Which is 18 units squared.
What is the difference between the median and the range in the data set shown below?
Answer:
1,4,5,6,7 7-1=6 so 6 would be the range
1,4,5,6,7 5 would be the median
Step-by-step explanation: