Answer:
1335.7
Step-by-step explanation:
f(5)= 9e^x
Substitute x for 5 and solve
The value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be f ( x ) = 9eˣ
The equation is an exponential form , and the value of x is substituted in the equation
When the value of x is 5
The value of e = 2.7182
x = 5
So , substituting the value of x in f ( x ) , we get
f ( x ) = 9eˣ
f ( 5 ) = 9 x e⁵
Now , e⁵ = 148.4131
And ,
The equation f ( 5 ) = 9 x 148.4131
= 1335.718
≈ 1335.7
Hence , the value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Using 3.14 for , what is the volume of the cylinder?
O A. 21.771 cubic meters
O B. 32.656 cubic meters
O C. 65.312 cubic meters
O D. 169.811 cubic meters
Evaluate the expression for r = 2.
17 + r =
A local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?
Answer:
156.00
Step-by-step explanation:take away 8% sales tax away from it
Find 110.9% of 133. Round to the nearest hundredth.
Answer:
147.50
Step-by-step explanation:
It is easy to set up the equation as a “butterfly”
x/133 = 110.9/100
cross multiply:
133(110.9)=100x
14749.7=100x ————-divide by 100 to get x alone
147.497 which would round to 147.50
Answer:
147.50
Step-by-step explanation:
BIG BRAIN AND MENTAL MATH
If ∠X and ∠Z are complementary, and the measure of ∠Z is 45°, what is the measure of ∠X?
Answer:
The measure of ∠X is 45°.
Step-by-step explanation:
Complementary angles are two angles that have a sum of 90°.
I subtracted 45 from 90 (90-45) and got 45°.
Mason made 5 quarts of salsa. Which of the following can be used to find the number of cups of salsa Mason made.
A: 5x2x5
B: 5x4x4
C: 5 divided by 2 divided by 2
D: 5x4 divided by 2
Answer:
A
Step-by-step explanation:
Find 0% of 200:
Find 100% of 200:
Find 50% of 200:
Find 25% of 200:
Find 75% of 200:
Answer:
0
200
100
50
150
Step-by-step explanation:
0% of 200 = 0
100% of 200
= ( 100 / 100 ) x 200
= 1 x 200
= 200
50% of 200
= ( 100% of 200 ) / 2
= 200 / 2
= 100
25% of 200
= ( 50% of 200 ) / 2
= 100 / 2
= 50
75% of 200
= ( 75 / 100 ) x 200
= ( 75 x 200 ) / 100
= 75 x 2
= 150
5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?
Answer:
40 children went on the cruise.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of adults on the cruise
y is the number of children on the cruise.
57 tickets were sold:
This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]
Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.
This means that:
[tex]22x + 10y = 774[/tex]
Since [tex]x = 57 - y[/tex]
[tex]22(57 - y) + 10y = 774[/tex]
[tex]1254 - 22y + 10y = 774[/tex]
[tex]12y = 480[/tex]
[tex]y = \frac{480}{12}[/tex]
[tex]y = 40[/tex]
40 children went on the cruise.
a) A car is purchased for $30000 and is depreciating at a rate of 12% per
year. Write an equation to represent this situation.
b) What is the car worth in 10 years?
c) How many years does it take for the car to be worth $1000
Answer: 187.5 gallons of gas
Step-by-step explanation:
He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 187.5 gallons of gas.
Bobby filled a bucket with 5/6 gallon of water and 1/12 gallon of juice. What
is the total amount of liquid Bobby put in the bucket?
+
А. 1/3
B.5/6
C.3/4
D.11/12
Hi,
To add two fraction, they must have the same denominator.
So 5/6 = 10/12
Now : 10/12 + 1/12 = 11/12
Answer:
D is the correct option
hope it helps you
please mark me as brainlist
Annabelle’s bicycle has a wheel radius of 13 inches. She places a sticker on the wheel so that its minimum height above the ground is 0.5 inches. When she rides her bicycle, the wheel completes 90 revolutions every minute. The sticker begins at its minimum height above the ground. Which equation models the height in inches of the sticker after x minutes? y = 0.5 sine (180 pi x) + 13 y = 12.5 sine (180 pi x) + 13 y = 0.5 sine (180 pi x minus StartFraction pi Over 2 EndFraction) + 13 y = 12.5 sine (180 pi x minus StartFraction pi over 2 EndFraction) + 13
Answer:
[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]
Step-by-step explanation:
In order to solve this we can start by drawing a sketch of the problem (see attached picture)
So fist, let's take the general form of a sinusoidal movement:
[tex]y=Asin(\omega x+\phi)+b[/tex]
where:
A= amplitude
[tex]\omega[/tex]= angular frequency
x= time
[tex]\phi[/tex] = horizontal shift
b= vertical shift.
In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:
A= 13in - 0.5in =12.5 in
The angular frequency is how many radians the wheel will turn in a minute, so we get:
[tex]\omega=\frac{90 rev}{min}*\frac{2\pi rad}{1 rev}[/tex]
[tex]\omega=180\pi rad/min[/tex]
Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by [tex]\frac{\pi}{2} rad[/tex], so in this case:
[tex]\phi=-\frac{\pi}{2}[/tex]
and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:
b=13in
so when putting it all together we get our equation to be:
[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]
What is the solution to 9 x 9?
Answer:
81
Step-by-step explanation:
dude, it's one of the fast facts
Answer:
81
Step-by-step explanation:
We can round one of the 9's to ten then multiply it
9*10=90
then subtract the 9 that we added
90-9=81
find x
help please, asap.
Answer: x = 110 degrees
Step-by-step explanation:
35 and its vertical angle inside the triangle both = 35 deg
43 and 32 add to 75 deg
The total degree measure inside a triangle is 180
180-75-35 = 70 deg
70 degrees is the supplementary angle of x
180-70 = x
x = 110 degrees
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample values, x_ = 33.2hg, and s = 2.9 hg?
Answer:
Step-by-step explanation:
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level.
The confidence interval of mean
=32.9 ± 1.96 × 6.9/250
Confidence Interval = 32.9 ± 0.5382
Nick has a bag of 30 pieces of candy.
There are an equal number of Nerds, Starburst
& Jolly Ranchers. Only Nick's favorites!
Callie chooses candy randomly from the bag.
.
What is the probability that she will choose a Starburst
or Jolly Rancher?
Answer
2/3
Step-by-step explanation:
there are only 3 kinds of candy here and since they all have a equal number they have a chance of 1/3 each but since it is starburst OR jolly its 2/3
A plane flies against the wind 288 miles from Los Angeles to San Jose and then returns home with the same wind. The wind speed is 60 mph. If the total flying time was 2 hours, what is the speed of the plane?
Answer:
The speed of the airplane is 300 miles per hour.
Step-by-step explanation:
Let consider that plane travels at constant speed, which is the sum of the velocity of the plane in still air (velocity of the plane relative to wind) and the velocity of the wind. Hence, the total time spent by the plane is described by following kinematic formula:
[tex]t = s\cdot \left(\frac{1}{v_{P}-v_{W}}+\frac{1}{v_{P}+v_{W}} \right)[/tex] (1)
Where:
[tex]t[/tex] - Total time, in hours.
[tex]s[/tex] - Distance between Los Angeles and San Jose, in miles.
[tex]v_{P}[/tex] - Velocity of the plane in still air, in miles per hour.
[tex]v_{W}[/tex] - Velocity of the wind, in miles per hour.
Then, we proceed to simplify the formula and clear the speed of the plane in still air:
[tex]\frac{t}{s} = \frac{2\cdot v_{P}}{v_{P}^{2}-v_{W}^{2}}[/tex]
[tex]\left(\frac{t}{s}\right)\cdot (v_{P}^{2}-v_{W}^{2}) = 2\cdot v_{P}[/tex]
[tex]\left(\frac{t}{s} \right)\cdot v_{P}^{2} - 2\cdot v_{P}- \left(\frac{t}{s} \right)\cdot v_{W}^{2} = 0[/tex]
Which is a Second Order Polynomial, whose roots can be found analytically by Quadratic Formula. If we know that [tex]t = 2\,h[/tex], [tex]s = 288\,mi[/tex] and [tex]v_{W} = 60\,\frac{mi}{h}[/tex], then we have the following polynomial:
[tex]\frac{1}{144}\cdot v_{P}^{2}-2\cdot v_{P} -25 = 0[/tex]
The two roots associated with this polynomial are, respectively:
[tex]v_{P,1} = 300\,\frac{mi}{h}[/tex], [tex]v_{P,2} = -12\,\frac{mi}{h}[/tex]
Since speed is the magnitude of velocity, then solution must be positive. First root satisfies all these conditions.
In a nutshell, the speed of the airplane is 300 miles per hour.
If Andy had an ending balance of $5600 and Charlie had an ending balance of $5624.32, what is the difference in their account balances?
Answer:
charlie has 624.32 more than andy
Step-by-step explanation:
im smart trust
Help on this math question. 25 points.
Answer:
the third one
Step-by-step explanation:
If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please
Answer:
D) 18a
Step-by-step explanation:
y - x
= 4x - x (plug y = 4x)
= 3x
= 3(2z) (plug x = 2z)
= 6z
= 6(3a) (plug z = 3a)
= 18a
What is the volume of this container?
Answer:6000 cm3
Step-by-step explanation:You do 20x10x15=3000. Then you do 3000x2= 6000. So your answer will be 6000cm3
You go to the quad on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air? Round your answer to the nearest tenth. Show your work!.
Answer:
23.51m is the height
Step-by-step explanation:
the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51
A computer is priced at $1575, but is on sale for 15% off. What is the price of the computer
after the discount and 7.5% sales tax?
Answer:
$1439.16
Step-by-step explanation:
1.) 15% of 1575
1575 x 0.15 = 236.25
1575 - 236.25 = 1338.75
So 15% of $1575 = $1338.75
2.) $1338.75 with sales tax if 7.5%
1338.75 x 0.075 = 100.40625 rounded to the nearest hundredths place is 100.41
1338.75 + 100.41 = 1439.16
so you answer is $1439.16
I need to know what one to pick I will send an image to go with it
Answer: um do you need help because I don’t see the question or the picture you are talking about..
Step-by-step explanation:
How do you know if a number is rational irrational or not real number
Answer:
A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.
Step-by-step explanation:
I hope this helped you!
Anyone know the answer?
Answer:
12.4
Step-by-step explanation:
1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)
Answer:
1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence
Answer:
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent
✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …
____________________
Answer:
the equation for that line would be y=0
Step-by-step explanation:
The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)
Compete the table to find the unit rate. the table shows how much jazz earns babysitting. What is jazz unit rate per hour? If jazz earned 97.50$ how many hours did she work?
Answer:
13 hours
Step-by-step explanation:
22.50/3=7.5
52.50/7=7.5
97.50/7.5=13