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
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Helppp it’s due today
Answer:
128
Step-by-step explanation:
help I have no clue what I'm doING
Answer:
3.0
4.5
6.0
7.5
Step-by-step explanation:
it rains at the rate of 1.5cm per hour
In two hours, the amount will be; 1.5 × 2
= 3cm
in the three hours, the amount will be 1.5×3
=4.5cm
in four hours, the amount will be; 1.5×4
=6cm
in five hours, the amount will be; 1.5×5
=7.5cm
hi, have a good day!
Find the period of the function y=3/2 tan(1/3^x)
A) π/3
B) π/6
C) 3 π
D) π
What is an equation of the line that passes through the points (−3,8) and (-7, 8)
Answer:
y = 8
Step-by-step explanation:
Since the y- coordinates of the points are equal, both 8 , then
This indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (- 3, 8 ) and (- 7, 8 ) with y- coordinates 8 , then
y = 8 ← equation of line
1) f(4) = g(4)
2) f(4) = g(-2)
3) f(2) = g(-2)
4) f(-2) = g(-2)
Answer: 4)
Step-by-step explanation:
f(4) = -14
g(4) = 10
g(-2) = 4
f(2) = -8
f(-2) = 4
The correct statement is 4) f(-2) = g(-2)
Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and y = 4. So, f(-2) = g(-2) = 4 is true
Lieutenant James made an average of 3 arrests per week for 4 weeks. How many arrests does she need to make in the fifth week to raise her average to 4 arrests per week?
Answer:
5
Step-by-step explanation:
We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:
Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2
Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.
Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5
if your leg get cut off, where would you feel the pain if you got no leg. hehehe
Answer:
lol in your head , literally
Step-by-step explanation:
After one of your limbs is amputated, you may feel as if the limb is still there. This is called phantom sensation. You may feel: Pain in your limb even though it is physically not there.
Answer:
The nerve in your leg.
Explanation:
It's not your leg that will hurt but the nerve in your leg that'll hurt. So wherever the leg is cut, the nerves must be cut as well, but another thing is when one of your limbs is amputated, you may feel like the limb is still there. That's called phantom sensation. You might feel pain in your "limb" even though it's not physically there.
HELP QUICK!
Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.
f relates each student in South High School to their grade point average (GPA) and number of credits earned.
Using the function concept, it is found that f is a function, as each student is related to only one GPA and only one number of credits.
In a function, one value of the input can be related to only one value of the output.
In this problem:
The input is the student.The output is the student GPA, and the number of credits earned.Each student is related to only one GPA and only one number of credits, hence one value of the input is related to only one value of the output, and f is a function.
To learn more about the function concept, you can take a look at https://brainly.com/question/12463448
How do you find the slope of a line given any 2 points on the line
Answer:
rise over run
Step-by-step explanation:
you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.
Answer:
Step-by-step explanation:
From the point one on the graph, you go up (rise) making loops each time you go up (shown in red) then, once you've reached the same hight of point two, you go over (run), making loops once again (shown in blue). Then, you take the rise and put it over the run, so in the image attached it would be 4/3.
evaluate:
16÷(2+12)2
A. 2 14/25
B. 4 1/4
C. 6 2/5
D. 8 1/4
The result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].
The given parameters:
16÷(2+12)2
The given expression can be evaluated in the following order as shown below;
add the numbers in the bracket;
2 + 12 = 14
multiply the numbers in the bracket by 2;
14 x 2 = 28
divide the 16 by your result after the multiplication;
[tex]= \frac{16}{28} \\\\[/tex]
divide the numerator and denominator by their common factor which is 4;
[tex]\frac{16}{(2+ 12) 2} = \frac{16}{28} = \frac{4}{7}[/tex]
Thus, the result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].
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A triangle has two sides of length 9 and 3. What is the smallest possible whole-number length
for the third side?
Answer:
The answer is 11
Step-by-step explanation:
hope this helps a little bit
help
Pls no joking around
Answer:
I think like expressions you use x or y or such many variables. you use - or + too. like (x+2)y there are parentheses too.
Which of the following tables represents a function?
A) x 1 −1 4 −4
y 8 8 10 10
B) x 2 2 3 3
y 6 −6 7 7
C) x 5 −5 5 −5
y 10 11 12 13
D) x 2 2 7 7
y 2 3 4 5
The only table that represents a function is table A
For a relation or table to represent a function, the input values (domain) must have a corresponding codomain (output) that is unique.
This means that there must not be two similar values as the domain in the table, if there is, such table does not represent a function.We can see that tables B, C, and D do not represent a function since they all have repeating values in their x-values.Hence the only table that represents a function is table A
Learn more on tables and functions here: https://brainly.com/question/3632175
For the point P(-25,10) and Q,(-18,15) find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.
Step-by-step explanation:
I really hope that that will be helpful to you
At what rate would $1,200 earn $96 in 8 years?
Help me with this plzzzzzzzzz
Answer:
B : x € (-∞, 1)
Step-by-step explanation:
we have 4x +9 -2 +3x < 14
7x +7 < 14
7(x+1) < 14
x + 1 < 2
x < 1
=> x € (-∞, 1)
I will give u a crown The rectangles below are similar in shape and their sides are proportional. The large rectangle is 42 feet tall and 54 feet wide. The smaller rectangle is 36 feet wide. How tall is the smaller rectangle? *
Answer:
28ft tall
Step-by-step explanation:
Since they are proportional, you can set up a ratio of length to width.
L/W=L/W
42/54=L/36
L=(42*36)/54
L=28
Estimate 4 1/3 x 2 3/4
Answer:
11 11/12
Step-by-step explanation:
Answer:
≈ 12
Step-by-step explanation:
To estimate, we'll round these mixed numbers to the nearest whole number, then multiply. Let's start with 4 1/3. 4 1/3 is closest to 4, since 1/3 is smaller than 1/2. Then, we can look at 2 3/4. This mixed number is closest to 3, since 3/4 is greater than 1/2.
Now, the two numbers we have are 4 and 3. What is 4 × 3? Well, that's pretty simple - the answer is 12. So, 4 1/3 × 2 3/4 ≈ 12. Hopefully that's helpful! :)
SOMEONE PLS HELP ME WITH GEOMETRY: what triangle is congruent to ABC?
Answer:
MLK :)
Step-by-step explanation:
Congruent means identical shape.
Answer:
D. KLM
Step-by-step explanation:
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0
Answer:
Step-by-step explanation:
0 is not an interval, it is just the origin
hard to make an estimate without knowing the limits.
average rate of change will be Δy / Δx or (y - y₀) / (x - x₀)
as (0, 0) is the origin and appears to be on the plot line, the average rate of change will be y/x for any other point on the curve relative to the origin.
EDIT
for interval 0 ≤ x ≤ 8
at x = 8 y appears to be -24
average change is -24 / 8 = -3
how many times bigger is 3,136 than 486 written as a percentage
Answer:
Step-by-step explanation:
Solution for 468 is what percent of 486:
468:486*100 =
(468*100):486 =
46800:486 = 96.3
Now we have: 468 is what percent of 486 = 96.3
Question: 468 is what percent of 486?
Percentage solution with steps:
Step 1: We make the assumption that 486 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=486$.
Step 4: In the same vein, $x\%=468$.
Step 5: This gives us a pair of simple equations:
$100\%=486(1)$.
$x\%=468(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$frac{100%}{x%}=frac{486}{468}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$frac{x%}{100%}=\frac{468}{486}$
$Rightarrow x=96.3%$
Therefore, $468$ is $96.3%$ of $486$.
ratio of boys to girls is 2:3 what is the ratio of boys of there are 6 girls
Answer:
4:6
Step-by-step explanation:
2 x
- = ----
3 6
6/3 = 2
2 x 2 = 4
PLS PLS PLS HELP ON GEOMETRY PLS
Answer:
40 degrees
Step-by-step explanation:
Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.
Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.
Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40
please solve this quick
9 times 11 = 0.818181...
Explain?
I need help asap very struggle with math
Answer:
16feet
part B is 18 feed for a good at a better than the price but the one
give a pair of alternate interior angles, a pair of corresponding angles and a pair of alternate exterior angles.
Alana deposited $20 in a savings account earning 5% interest, compounded annually.
To the nearest cent, how much will she have in 2 years?
Submit
Answer:
Step-by-step explanation:
y = $20(1.05)² = $22.05
A box is 36 inches long,18 inches wide, and 6 inches deep. How many cubic feet are in the box?
Answer:
3,888 ft³
Step-by-step explanation:
Multiply the dimensions together.
[tex](36)(18)(6)=3888[/tex]
Therefore, the box is 3,888 ft³.
The volume of the box in feet given its dimensions is 2 1/4 feet³.
What is the volume of the box?The volume of the box can be determined by multiplying the length, width and height of the box with each other.
Before the volume can be determined, the dimensions have to be converted from inches to feet.
1 inch - 1/12 feet
Length = 36 / 12 = 3 feet Width = 18 / 12 = 3/2 feet Height = 6/12 = 1/2 feetVolume = 3 x 3/2 x 1/2 = 9/4 = 2 1/4 feet³
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#SPJ2
I NEED HELP ON QUESTION B AND C ASAP.
Answer:
See belowStep-by-step explanation:
Part BAssumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
h = 1.8 cm - 0.3 cm = 1.5 cmPart CFind the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³Total sand in the bottom part:
7.96 + 4.6 = 12.56 cm³Time taken:
12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds