The value of f(15), to the nearest hundredth is 253.88
The standard exponential equation is given as:
y = ab^xf(x) = ab^xIf f(4.5) = 16, then;
16 = ab^4.5 ..............1
Similarly, if f(9.5) = 60, then:
60 = ab^9.5 ........................... 2
Dividing both equations will give:
60/16 = ab^9.5/ab^4.5
60/16 = b^9.5-4.5
60/16 = b^5
3.75 = b^5
b = 1.3
Get the value of a. Recall that;
60 = ab^9.5
60 = a(1.3)^9.5
60 = 12.09a
a = 60/12.09
a = 4.96
Get the value of f(15)
f()15 = 4.96(1.3)^15
f(15) = 4.96(51.18)
f(15) = 253.88
Hence the value of f(15), to the nearest hundredth is 253.88
Learn more on exponential functions here: https://brainly.com/question/12940982
( I will give brainliest! ) What is the simplified expression of
4x + 2(3x + 7) - 7x?
Answer:
[tex]3x + 14[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2(3x + 7) - 7x[/tex]
[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]
[tex]4x + 6x + 14 - 7x[/tex]
Step 2: Combine like terms
[tex]4x + 6x + 14 - 7x[/tex]
[tex](4x + 6x - 7x) + 14[/tex]
[tex]3x + 14[/tex]
Answer: [tex]3x + 14[/tex]
LAST ATTEMPT MARKING AS BRAINLIEST!! (Pythagorean theorem )
Write five demicals that round to 0.96?
Answer:
0.964
0.959
0.961
0.958
0.963
Step-by-step explanation:
Anything below 5 can be rounded down, anything above 5 can be rounded up.
You can have a decimal after 0.96 to be less than 5, or a decimal after 0.95 to be greater than 5.
Here's some I picked:
0.964
0.959
0.961
0.958
0.963
Find the next two terms in the sequence -3, 0, 3, 6
Answer:
9, 12
Step-by-step explanation:
the rule is +3 for each step in the sequence
Troy is buying a car that costs $15,000. He
plans to get a 5-year loan to pay for it. He
can get a loan for $15,000 or he can pay
$3,000 from his savings and get a loan
for the rest. The savings account pays 2%
simple interest per year. The simple interest
rate for the loan is 0.5% per year.
a. How much interest over a 5-year
Answer:
300/75
Step-by-step explanation:
Cost of the Car = $15,000
a) Rate of interest received on savings(r) = 2%
Amount in savings account(p) =$3000
Time period(t) = 5 years
simple intrest.
Interest received on savings account = $300
b) Rate of interest on loan = 0.5%
IF P= 15000
intrest.
Difference between the interest = $75
c) Taking loan of the whole amount that is of $15,000 is more reasonable because though the interest is more but Troy will receive interest($300) from his savings account as well. But if he withdraws $3000 from savings and takes the loan for the rest of the amount, he would have no earnings.
As Earth circulates the sun, it travels at a
speed of 20 miles per second. Convert
this speed to kilometers per second. At
this speed, how many kilometers will
Earth travel in 8 seconds? Assume that 1
mile is equal to 1.6 kilometers.
100 POINTS
Please HELP I THINK ITS THE ANSWER I CLICKED THAT HAS A BLUE CIRCLE BUT I dont know
Answer:
Option D
Step-by-step explanation:
Twice b means b is multiplied by 2 or 2b3 less than twice b means it's subtracted or 2b-3.The expression is a=2b-3
Th stalest tree in the world is a red wood in red wood national and state parks .it is 379feet tall .how many yards is this
Answer:
126 1/3 yards
Step-by-step explanation:
1 foot = 1/3 yard
379 feet = 379/3 yard= 126 1/3 yards
Casey bought 9 tickets to a concert. The total charge was $104, including a $5 service charge. Write an equation you can use to solve to find c, the cost of one ticket.
Answer:
104-5/9
Step-by-step explanation:
just divided ND SUBTRACT
(8 pts)
7. Solve the following system using a matrix and converting the matrix to reduced row
echelon form, without introducing any fractions.
3x - 2y + 5z = -7
x – y + 3z = -5
4x + y + z = 6
Answer:
{x,y,z} = {-22/13,29/13,6/13}
Write the system as the following augmented matrix:
[tex]\left[ \begin{array}{ccc|c} 3 & -2 & 5 & -7 \\ 1 & -1 & 3 & -5 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Swap rows 1 and 2 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 3 & -2 & 5 & -7 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Eliminate the x coefficient from the last two rows by add -3 (row 1) to row 2, and -4 (row 1) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 0 & 1 & -4 & 8 \\ 0 & 5 & -11 & 26 \end{array} \right][/tex]
Eliminate the y coefficient from the first and last rows by adding row 2 to row 1, and -5 (row 2) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 1 & -4 & 8 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the second row by adding 4 (row 3) to 9 (row 2) :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the first row by adding row 3 to 9 (row 1) :
[tex]\left[ \begin{array}{ccc|c} 9 & 0 & 0 & 13 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Then the solution to the system is (x, y, z) such that
9x = 13 and 9y = 16 and 9z = -14
or
x = 13/9 and y = 16/9 and z = -14/9
What is the value of
8x2 + 3x when x = 4?
Answer:
28
Step-by-step explanation:
8*2=16
3*4=12
Then you add 16+12
hopefully it helps
Answer:
76
Step-by-step explanation:
plug in 4 in the equation:
8(4)2 + 3(4) = 76
jjjjjhfvkicdcghgfc ghcvh,glv,kghc ,h..
Answer:
0
Step-by-step explanation:
Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving?
StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction
she drove for 4 hours
Answer:
the person above me is wrong its not an option for me ;-;
Step-by-step explanation:
5. Jolene made 8 pink bracelets using
b beads on each bracelet and 7 blue
bracelets with b beads on each
bracelet. Which expression gives the
total number of beads she used?
Answer:
so she made 8 so
8*what ever the rest is
then she has b
8b plus what ever
then each one has 7 blue beads on each one
8(b+7)or 8b+56
Hope This Helps!!!
Answer:
Step-by-step explanation:
8b + 7b = Total Beads for the Pink(8) and Blue(7) bracelets
15b = Total beads
solve 4x-13=7x14 justify each step
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-13-(7*x^14)=0
Equation at the end of step 1
(4x - 13) - 7x14 =
Pulling out like terms
3.1 Pull out like factors :
-7x14 + 4x - 13 = -1 • (7x14 - 4x + 13)
Equation at the end of step
-7x14 + 4x - 13 = 0
Equations of order 5 or higher:
4.1 Solve -7x14+4x-13 = 0
Order each set of rational numbers from least to greatest 2.1,-0.3,0.261,-2.5
Answer:
i think -2.5 -0.3 0.261 2.1
The table shows the final score of four golfers.
Golfer Final Score
Joe
-2
Allen
-5
Tara
-8
Violet
-4
Whose score was the lowest? Whose was the highest? Select your answers from the drop-down lists.
score was the lowest.
score was the highest.
Students, draw anywhere on this slide!
PER Deck eractive Skoe
Answer:
Joe score was the highest. Tara score was the lowest.
Step-by-step explanation:
Q10. Five t-shirts and a hat cost £83.00. Two t-shirts and a hat cost £38.00. How much does one t-shirt cost?
No spam links and plz write down the answer.
Step-by-step explanation:
Two t-shirts that are(31.80) plus a hat(6.20) cost £38.00.
which means that one t-shirt costs £15.90 :)
Summer Earnings
Hours worked Earnings in dollars
3
4
48
6
72
10
120
20
240
Which statements are true about the data in this table? Select all that apply.
The rate of change for the data is $12 per hour. $12 is also the constant of proportionality
If you graph the data, it would pass through the origin (0,0)
The data represent a direct variation and can be modeled by the function rule y = 12.
The data indicate a rate that is not constant
The rate of change for the data is $24 per hour. The data representa direct variation and can be modeled by the function ruley-242
The table is an illustration of a proportional relationship. and can be modeled by the function rule y = 12x
The entries of the table is given as:
Hours Earnings
4 48
6 72
10 120
20 240
Start by calculating the rate (m) of the function
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{72 - 48}{6-4}[/tex]
[tex]m = \frac{24}{2}[/tex]
[tex]m = 12[/tex]
The equation of the table is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 12(x - 4) + 48[/tex]
[tex]y = 12x - 48 + 48[/tex]
[tex]y = 12x[/tex]
[tex]y = 12x[/tex] means that, the following statements are true:
The rate of change for the data is $12 per hour. $12 is also the constant of proportionalityIf you graph the data, it would pass through the origin (0,0) The data represent a direct variation and can be modeled by the function rule y = 12xRead more about proportional equations at:
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Given the formula A= P(1+r/n)nt you are investing $2,150 in savings account with an
interest rate of 3.315% compounded monthly. How much will you investment be worth after 15 years?
Answer:
3532.59341
Step-by-step explanation:
P= 2150
r= 3.315%
n= 12
t= 15
6+√27/4-√3 can be written in the form r +s√3/13
where are both r and s integers
what are the values of r and s
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
Step-by-step explanation:
Let's multiply and divide the given fraction by the conjugate of the denominator:
[tex]\dfrac{6+\sqrt{27}}{4-\sqrt{3}}×\dfrac{4+\sqrt{3}}{4+\sqrt{3}}[/tex]
[tex]\;\;\;\;= \dfrac{24 + 6\sqrt{3} + 4\sqrt{3} + \sqrt{27}\sqrt{3}}{13}[/tex]
[tex]\;\;\;\;=\frac{1}{13}(24 + 10\sqrt{3} + \sqrt{81})[/tex]
[tex]\;\;\;\;=\frac{1}{13}(33 + 10\sqrt{3})[/tex]
[tex]\;\;\;\;=\left(\dfrac{33}{13}\right) + \left(\dfrac{10}{13}\right)\dfrac{\sqrt{3}}{13}[/tex]
We can see here that
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
The value of the variable 'r' and 's' will be 33 and 18, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The two equations are given below.
(6 + √27) / (4 - √3) and (r + s√3) / 13
Simplify the expression (6 + √27) / (4 - √3), then we have
[tex]\rightarrow \dfrac{6 + \sqrt{27}} { 4 - \sqrt3} \times \dfrac{4 + \sqrt3} { 4 + \sqrt3} \\\\[/tex]
⇒ [(6 + 3√3)(4 + √3)] / (4² - 3)
⇒ [(24 + 6√3 + 12√3 + 9)] / (16 - 3)
⇒ (33 + 18√3) / 13
Compare the expression (33 + 18√3) / 13 with (r + s√3) / 13, then the value of r and s will be given as,
r = 33
s = 18
The value of the variable 'r' and 's' will be 33 and 18, respectively.
More about the Algebra link is given below.
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If angle 1 is 110°, what would the other angle measures have to be in order for m || n andq || p?
Angle 2 = °
Angle 3 = °
Angle 4 = °
Answer:
8
Step-by-step explanation:
Answer:
ANGLE2=110° ANGLE3=70° ANGLE4=70°
If you had 10 questions on a test and you got 3 wrong what percentage is that?
Answer:
70% right, 30% wrong
Step-by-step explanation:
3 is 30% of 10
1 less then the quotent of a number n and 6
" the quotient " means divide
(n/6) - 1 <== ur expression
Question 8 of 25
An English teacher has equal numbers of fiction, literature,
and poetry books. Each day, she randomly selects one book
to read from. She designs a simulation to estimate the
probability that the next three books she selects are all
literature.
Which simulation design could she use to estimate the
probability?
The simulation design could she use to estimate the probability is
Number cube
Let 1, 6 = literature
Let 2, 5 = fiction
Let 3, 4 = poetry
Roll the cube three times. Repeat.
What is simulation?Simulation is the process of creating a model or representation of a real-world system or process and conducting experiments with the model to observe how it behaves or performs under different conditions.
We have,
This simulation design assigns each book in the teacher's collection a unique number from 1 to 6, with literature books assigned the numbers 1 and 6, fiction books assigned the numbers 2 and 5, and poetry books assigned the numbers 3 and 4.
Rolling a number cube simulates the teacher randomly selecting a book each day, and repeating this process three times allows for the estimation of the probability that three consecutive selections will be literature books.
This simulation design is appropriate because it accurately represents the probabilities of selecting literature, fiction, and poetry books from the teacher's collection and allows for repetition to simulate multiple days of book selections.
Thus,
The simulation design could she use to estimate the probability is
Number cube
Let 1, 6 = literature
Let 2, 5 = fiction
Let 3, 4 = poetry
Roll the cube three times. Repeat.
Learn more about simulations here:
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snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the original price.
Step-by-step explanation:
60% of original price X = $180
60/100 × X = $180
60X/100= $180( cross multiply)
60X= 18000
X= 18000÷60
X= $300
What does it mean to be an independent student? A. You must pick your own study topics and research them. B. You can set your own deadlines, within a fixed time frame. C. You are responsible for your own study schedule and organization. D. You are expected to work without extra help from a teacher or tutor.
Answer:
C
Step-by-step explanation
It makes the most sense
Answer:
check online for more information
Could someone explain how to solve this please?
Step-by-step explanation:
the diagaonls of rectangle interscet at x
find the angle that a diagaonl makes a longer side of the rectangle
Please look for the question in the picture.
Answer: The blue dot's value on the number line is 1.
Step-by-step explanation: Each two-skip interval from -7 to -3 is a skip of 4. Therefore, -3 skipped two times is -3 + 4, which equals 1, therefore the blue dot's value on the number line is 1.
Triangle JKL is dilated by a scale factor of 5 to form triangle J'K'L'. Side K'L'
measures 65. What is the measure of side KL?