Answer:
The exponential funtion is "height(n) = 77*(0.9925)^n". After 15 years he is 68.7778 inches.
Step-by-step explanation:
Since Tom's initial height is 77 inches. After one year:
height(1) = 77*(1 - 0.0075) = 77*0.9925
After two years:
height(2) = height(1)*(0.9925) = 77*0.9925*(0.9925) = 77*(0.9925)²
After three years:
height(3) = height(2)*0.9925 = 77*(0.9925)²*0.9925 = 77*(0.9925)³
And so on, therefore the expression that represents his height is:
height(n) = 77*(0.9925)^n
Where n is the number of elapsed years. For 15 years we have:
height(15) = 77*(0.9925)^(15) = 68.7778 inches
The exponential funtion is "height(n) = 77*(0.9925)^n". After 15 years he is 68.7778 inches.
Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?
Answer:
$5107.20
Step-by-step explanation:
His pay after he was caught once
133x 8=1064
1064x 20% = 212.8
1064-212.8=851.2
1064x 4= 4256
4256+ 851.2=5107.2
The grades on a geometry midterm at Springer are roughly symmetric with u = 73 and 0 = 3.0.
Umaima scored 72 on the exam.
Find the z-score for Umaima's exam grade. Round to two decimal places.
Answer:
z = - 0.33
Step-by-step explanation:
Given that:
Mean (μ) = 73, standard deviation (σ) = 3.0
Z score is a measure in statistics to determine the number of standard deviation a value is above or below the mean of what is measured. If the value is above the mean it is positive but if it is below the mean it is negative. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate z-score for Umaima's exam grade, we need to calculate the z score of 72
For x = 72, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{72-73}{3} =-0.33[/tex]
z = - 0.33
Answer:
−0.33
Step-by-step explanation:
just did it oh khan
Find the missing values (4,16) and (x,24)
Answer:
(6, 24)
Step-by-step explanation:
Help help help me me me
Step-by-step explanation:
...
the answer is 49/40
Based on the boxplot, which statement below is true?
A) The range of both box plots is about the same.
B) The means of both plots are approximately equal.
C) Plot B contains more data points than Plot A.
D) The mediums are approximately equal.
Answer:
A
Step-by-step explanation:
store is having a sale on almonds and Jelly beans. For 5 pounds of almonds and 3 pounds of jelly beans, the total cost is $20. For 7 pounds of almonds and 9
pounds of jelly beans, the total cost is $46. Find the cost for each pound of almonds and each pound of jelly beans.
what is the area of this triangle?
Answer:
I believe the answer is 24
Answer:
The area of the triangle is 24 units2
Step-by-step explanation:
To find an area of a triangle you simply have to multiply a and b which are the legs of a triangle, in this case it would be 6 and 8, after doing that you divide the result by 2. So A= 6x8/2 ---> A=48/2 -----> A=24
determine the inverse of the function. (show work please)
Answer:
This is easy -- it's just a list of steps. At this level, the problems are pretty simple.
Let's just do one, then I'll write out the list of steps for you.
Find the inverse of f( x ) = -( 1 / 3 )x + 1
STEP 1: Stick a "y" in for the "f(x)" guy:
y = -( 1 / 3 )x + 1
STEP 2: Switch the x and y
( because every (x, y) has a (y, x) partner! ):
x = -( 1 / 3 )y + 1
STEP 3: Solve for y:
x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3
STEP 4: Stick in the inverse notation, f^( -1 )( x )
f^( -1 )( x ) = -3x + 3
Step-by-step explanation:
Find the 43rd term of each sequence.
1. 21,12,9,3,...
Answer:
-231
Step-by-step explanation:
21, 12, 9, 3,...
Below is image
Answer:
-357
Step-by-step explanation:
a + (n-1)d
21+(42)(-9)
21-378
A restless point moved from point −8 1/2 to the right at the speed of
1 1/4 units per minute. Where will it be in an hour?
Answer:
point 66.5
Step-by-step explanation:
The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.
Question 13 options:
A)
Width = 9∕2, length = 10
B)
Width = 4, length = 7
C)
Width = 9, length = 10
D)
Width = 5, length = 9
Answer:
i think a its closest to 45 and ft 2
Step-by-step explanation:
help me asap right answer gets most brainlyest
Answer: The answer is 1/4th :)
A rectangle has side lengths of (2x+3) and (3x - 4).
Find the AREA and PERIMETER of the rectangle. SHOW ALL WORK. Please
Answer:
Area=6x^2+9x-12 Perimeter= 5x-1
Step-by-step explanation:
when finding the are of a rectangle you multiply both sides together.
(2x+3)*(3x-4)
Distributive Property
6x^2-8x+9x-12
Simplify
6x^2+x-12
To find the Perimeter you have to add both sides
2x+3+3x-4
5x-1
Kathy recorded the following measurements of length: 2.5 cm.
2.9 cm, 3.0 cm, 2.5 cm, and 3.1 cm. What is the mean for this
set of values, in cm?
Answer:
2.8
Step-by-step explanation:
To find the mean add all the values and divide by the amount of values and when you add everything up it is 14 and dividr by 5 to get 2.8
What does 5 - n represent
Answer:
Some number or variable less than 5.
Step-by-step explanation:
Answer:
a sum number more than five
Step-by-step explanation:
Can you help me find MAD for this
Answer:
5
Step-by-step explanation:
(3+15+21+13)/4 = 13
13 - 3 = 10
15 - 13 = 2
21 - 13 = 8
13 - 13 = 0
(10+2+8+0)/4 = 5
To minimize the effect of capital gains tax, what is the least amount of time for which an investment should be held?
O A.
6 months
OB. 3 years
O C. 366 days
OD. 1.5 years
2 years
Answer:
C) 366 days
Step-by-step explanation:
Capital gains taxes are classified into:
Short term capital gains which are taxed at the same marginal tax rate than ordinary income. Any investment held for one year or less is subject to short term capital gains. Long term capital gains which are taxed at a generally lower tax rate, e.g. 0 - 15% - 20%. An investment must be held for more than one year to be considered a long term capital gain.Answer:
366 days
Step-by-step explanation:
PLEASE HELP!!
The figure is made up of a rectangle and 2 right triangles.
What is the area of the figure?
O 1259 units2
O 1292 units2
O 1413 units2
O 1566 units2
The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)
A = 28(34) + (1/2) 11 (28) + (1/2) (9)(34)
A = 1259
Answer: 1259 sq units
Find the roots of the quadratic equation by finding the square root:
x2 = 25.
Answer: The roots are -5 and 5
Step-by-step explanation:
5^2=25
5^-2=25
Answer:-5 and 5
Step-by-step explanation:
The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3.What is the equation of function g?
Substitute a numerical value for k into the function equation.
g(x) = (7) kx
The correct question is;
The function f(x) = (7^x) + 1 is transformed to function g through a horizontal compression by a factor of 1/3.What is the equation of function g?
Substitute a numerical value for k into the function equation.
g(x) = 7^(kx)
Answer:
Value of k = 1/3 if the function is compressed by compression factor of 1/3.
Step-by-step explanation:
In transformations, the horizontal stretch or compression for a function f(x) is given by g = f(bx) where:
b is a constant.
If b > 0, then the graph of function is compressed.
Now, from the question, we are told that the function is transformed by a compression factor of 1/3.
Function is;f(x) = (7^x) + 1
In transforming to g = f(bx), we have;
g = (7^(x/3)) + 1
Since, we want to find k from the format g = 7^(kx)
Comparing with g = (7^(x/3)) + 1, we cans see that ; k = 1/3
The function g(x) is, [tex]g(x)=7(\frac{1}{3}x )+1[/tex]
The value of k is [tex]\frac{1}{3}[/tex]
To understand more, check below explanation.
Compression of function:The given function is,
[tex]f(x)=7x+1[/tex]
We have to find function g(x) from f(x) after compression by a factor of 1/3.
To find g(x), replace x by [tex]\frac{1}{3}x[/tex].
[tex]g(x)=7(\frac{1}{3}x )+1\\\\g(x)=\frac{7}{3}x+1[/tex]
Thus, the value of k is [tex]\frac{1}{3}[/tex]
Learn more about the linear function here:
https://brainly.com/question/15602982
Can someone help me with this? ;^;
Answer:
The mode would be 10
Step-by-step explanation:
Because it is there more than the others
hope this helps! =D
Answer:
10
Step-by-step explanation:
What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
A. y+ 1 = 3(x + 10)
B. x + 1 = -3(y-10)
C. y + 1 = -3(x-10)
D. y + 1 = 3(x-10)
Answer:
C
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula.
The point slope formula is:
[tex]y-y_{1} =m(x-x_{1})[/tex]
where m is the slope, and (x1, y1) is the point given.
We know that the slope is -3, and the point given is (10, -1)
Therefore, our m is -3, x1 is 10, and y1 is -1.
y- -1 = -3(x-10)
y--1 is the same as y+1
y+1= -3(x-10)
Therefore, choice C is correct.
1) Which of the equivalent expressions for P(x) reveals the price which gives a profit of
zero without changing the form of the expression?
P(x) = -3x? + 432x - 1680
b) P(x) = -3(x-4)(x - 140)
P(x) = -3(x - 72)2 + 13872
2) Find a price, which gives a profit of zero.
Answer:
1. (B)P(x) = -3(x-4)(x - 140)
2. $140
Step-by-step explanation:
(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of zero without changing the form of the expression is:
P(x) = -3(x-4)(x - 140)
This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.
(2)When the profit, P(x)=0, then using the expression above we have:
[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]
A price of $4 or $140 as the case may be gives a profit of zero.
I will give you all five stars ⭐⭐⭐⭐⭐
Answer:
omg really;O
Step-by-step explanation:
while abbie is jogging she moves forward 85 cm every second how many seconds will abbie take to jog 8.5 meters
Answer:
85 cm = .85 meters
8.5 / .85 = 10 seconds
Step-by-step explanation:
WILL MARK BRAINLIEST:
Hello! So I need to know HOW to do this. Please don't do the work for me, I just need an explanation. thank you!
Answer:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.
Answer:
as the other guy said, scientific notation in simple words is expressing large quantities in terms of being multiplied with powers of 10
hence,
11. 7.5 x 10^6
12. 2.9 x 10^5
13. 3.7 x 10^(-4)
14. 1.26 x 10^4
15. 2 x 10^(-7)
16. 4 x 10^(-3)
17.6 x 10^7
18. 4.07 x 10^7
19. 8.1 x 10^(-4)
20. 1.25 x 10^(4)
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.
Answer:
I'm pretty sure it's "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."
Step-by-step explanation:
Answer:
A. "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."
Step-by-step explanation:
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.
Please Mark As Brainliest...
Sorry For The Smol Brain Question..............
plz halp meh!!!!!!!
Answer:
M=25-3D
Step-by-step explanation:
Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.
You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Answer:
17.3
Step-by-step explanation:
(2+18)=(20mph*2miles)=6 minute
(18-2)=16mph*3miles=11.25
17.25
Tell whether the triangle with the given side lengths is a right triangle.
3.9 mm, 8.0 mm, 8.9 mm
