Answer:
y=88e^ -0.5x
Step-by-step explanation:
https://keisan.casio.com/exec/system/14059932387562
1) Use this online graphing calculator if you do not have on ^^
2) plug in data and choose "e-Exponential regression"
3) A= 88.4385965
B= -0.532128051
4) Round A to the nearest integer and B to the nearest tenth
5) Use the formula given "y=Ae^ Bx"
6) Leave the variables "e" and "x" as they are
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
To determine the best equation to represent the data, we will first plot the points on a graphing calculator:
Day Snow Depth
1 47
2 29
3 20
4 10
5 7
6 5
7 1.5
Now,
Based on the scatter plot of the points, it appears that a quadratic equation would best represent the data.
Using the quadratic regression feature on the graphing calculator, we obtain the following equation:
Snow Depth = -8x² + 93x - 56
Rounding to the nearest integer, the final equation that best represents the data is:
Snow Depth = -8x² + 93x - 56
Thus,
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
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f(x) =2x^3 + 3x^2 - 7x + 2 g(x) = 2x-5 find (f+g)(x)
Answer:
Step-by-step explanation:
Remark
The way this is written, the notation is directing you to add the right hand sides of the two given polynomials.
Givens
f(x) = 2x^3 + 3x^2 + 7x + 2
g(x) = 2x - 5 Add
Solution and Answer
Answer: (f + g)(x) = 2x^3 + 3x^2 + 9x -3
Be careful with that - 5. The result is -5 + 2 = - 3
Answer: It's (f+g)(x)=2x^3+3x^2-5x+3
Step-by-step explanation: I just did it.
What number can be divided into 2 equal groups whit out a reminder
all even numbers
hope it really helps...!!!
Answer:
all even numbers. because when divisible by two there is no reminder
Origami paper is always in the shape of a square. If you take the top corner of either side of a 9 x 11-inch piece of paper and fold it to the lower opposite side and trim off the excess paper, this creates the square that we need. Then fold the top corner to the opposite corner to create a diagonal, which is a typical first step to most origami designs. What are the dimensions of your square? What is the length of the diagonal? Write your answer in exact and decimal form.
Answer:
Dimensions are nine by nine, the diagonal is the square root of 162.
Step-by-step explanation:
The resulting square will have the same width as before, with a height to match, (9,9) The diagonal can be found using the pathagyreon theorom.
9^2 + 9^2 = x^2.
The dimensions of the square would be nine by nine, the diagonal is the square root of 162.
The square will have the same width as before, with a height to match, (9,9)
The diagonal can be found using the Pythagorean theory.
9^2 + 9^2 = x^2.
What is the Pythagorean theorem?This theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
What is the Pythagorean theorem and what is it used for?The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.
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Which congruence theorem can be used to prove △WXS ≅ △YZS?
Triangles W X S and Y Z S are connected at point S. Angles W X S and S Z Y are right angles. Sides X S and S Z are congruent.
SSS
ASA
SAS
HL
Answer:
SSS
Step-by-step explanation:
XS=SZ
WS=SY
WX=ZY
I hope this is useful.
The congruence theorem that can be used to prove △WXS ≅ △YZS is SSS. ; option A.
Which are congruence theorems?Congruence theorems are theorems which are used to prove congruency in triangles.
The congruence theorems include:
SSSASASASRHSIn the given triangle;
XS = SZ WS = SY WX = ZYTherefore, the congruence theorem that can be used to prove △WXS ≅ △YZS is SSS.
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The line plot shows the heights of the players on a basketball team, in inches.
Part B
he next year, a player who is
71
inches tall is replaced by a player who is
73
inches tall. Otherwise the team remains the same. Is
74
an outlier the next year? Explain.
A: based on the given dot plot are: statements B, D, and E.
B: A. No. 74 is not an outlier because it is not different from the other heights in the dot plot.
What is a Dot Plot?In a dot plot, frequencies of each data point is represented as dots.
Part A:
Thus, in the dot plot given:
Players of 70 1/2 in. tall and above are 7 in number. This is half of the number of the total players. (option B is true).
Players with height of 69 1/2 in. (3 players) are more than those that are 70 in. tall (1). (option A is not true).
One of the player is 68 1/2. (option C is not true).
Four of the players are 74 in. tall (option D is true).
The team has 6 different heights as shown in the dot plot given (option E is correct).
Therefore, the statements that are correct based on the given dot plot are: statements B, D, and E.
Part B:
If a player of 73 in. tall replaces a player of 71 in, tall, 73 is close to 74.
Therefore, we can conclude that: A. No. 74 is not an outlier because it is not different from the otehr heights in the dot plot.
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Which expression is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction?
y5
y6
125y3
125y5
Answer:
125y3
Step-by-step explanation:
12x5=y
y3/2 = y26 - 5 =y
Answer:
D should be right
Step-by-step explanation:
7. If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is?
(0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x[-0.699] = 0.3010.
x= 0.3010/-0.699.
x= = -0.4306….
x= = -0.4.
(0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x[-0.699] = 0.3010.
x = 0.3010/-0.699
x = -0.4306
x= -0.4 (nearest tenth)
- At a school carnival, 8 out of 32 tickets sold were early-admission tickets. What
percentage of the tickets were early-admission tickets?
Answer:
25 Percent of tickets were early admission.
Step-by-step explanation:
We apply the percentage formula to solve this problem.
Total Ticket Amount * Percentage = Early tickets
We plug in our values
32 * x/100 = 8
Simplify
X=25
Answer:
25%
Step-by-step explanation:
8 out of 32 can be simplified to 1 early admission for every 4 tt (total tickets). 1/4 can be changed into a decimal which is .25, and .25*100 is 25%
Where do 2x - y = 4 and 4x + y = 9 intersect?
Answer: They intersect at [tex](2\frac{1}{6}, \frac{1}{3} )[/tex]
Step-by-step explanation:
We can solve this system of equations through elimination
Add (4x+y=9) with (2x-y=4)
[tex]4x+y=9\\+2x-y=4\\=\\6x+0=13[/tex]
Now that y is canceled out we can solve for x
[tex]6x=13\\\frac{6x}{6}=\frac{13}{6} \\x=2\frac{1}{6}[/tex]
Now sub back x into one of the original equations to find the value of y
[tex]4(2\frac{1}{6} )+y=9\\8\frac{2}{3} +y=9\\8\frac{2}{3}-8\frac{2}{3}+y=9-8\frac{2}{3}\\y=\frac{1}{3}[/tex]
4. What is the difference between 34.062 And 2.87
M. 31.192
P. 31.292
R. 32.192
S. 33.775
Answer:
m. 31.192
explanation 34.062-2.87
The cost of two hats and three bandanas is $114.25. The cost of five hats and two bandanas is $166.00. What is the cost of one hat?
(A) 18.75
(B) $21.75
(C) $22.50
(D) $24.50
(E) $51.75
Answer:
Step-by-step explanation:
answer? i give vrainlist
Answer:
3 I think
Step-by-step explanation:
1/3 opposite is 3/1 or 3
If x = 4cosa and y = 5tana, find (x^2/16) - (y^2/25)
[tex]x = 4 \cos(a) [/tex]
[tex] \frac{x}{4} = \cos(a) \\ [/tex]
[tex]( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\ [/tex]
[tex] \frac{ {x}^{2} }{16} = {cos}^{2} (a) \\ [/tex]
_____________________________________________
[tex]y = 5 \tan(a) [/tex]
[tex] \frac{y}{5} = \tan(a) \\ [/tex]
[tex]( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\ [/tex]
[tex] \frac{ {y}^{2} }{25} = {tan}^{2} (a) \\ [/tex]
_____________________________________________
Thus ;
[tex] \frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\ [/tex]
[tex] {cos}^{2} (a) - {tan}^{2} (a)[/tex]
3. If a = 2, b = -5 and c = 3, determine the value of b(a)+c
A business owner wants a smaller version of the logo (picture attached) to be on the door of her business. The door is 7 feet tall and 3 feet wide There should be 6 inches of empty space to the left side of the logo and 6 inches of empty space on the right side of the logo.
Based off the logo (picture attached), what should be the total width, in feet, of the logo on the door?
Based off the logo (picture attached), what should be the total height, in feet, of the logo on the door?
Answer:
Clair, since there isn't an attached picture, we don't know some info
Step-by-step explanation:
but here is how you can figure this out....
they tell use to give 6 inches on each side of the door, so the total width of the logo can be 2 feet wide. Because the door is 3 feet wide. Now use that to find the height. find the height to width ratio of the logo, so if the logo is 4 feet wide and 6 feet tall it's 6/4 or 1.5 ratio, use that and multiply by the 2 that we know the width can be on the door. so 2*1.5 = 3. the height of the logo would be 3 feet tall and 2 feet wide on the door. see?
just find the ratio of the logo, and multiply that by 2 :) to find the height on the door, got it?
The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles. How many miles are between the two towns?
Answer:
15 miles
Step-by-step explanation:
You know that there are 8 kilometres in 5 miles, so:
120/8=15
Help would be appreciated:)
Answer:
19%
Step-by-step explanation:
Bottles manufactured in march = 4100×107% = 4387 bottles
bottles manufactured in April= 4387+500 = 4887 bottles
difference in bottles from Feb to April= 4887-4100 =787 bottles
percentage increase from Feb to April= (787/4100)×100 = 19.2%
rounded off= 19%
Brainliest if correct
Answer:
1 1/7
Step-by-step
E is on the 1 1/7 point on the number line
Answer:
[tex]1\frac{3}{20}[/tex]
Step-by-step explanation: Each space equals =.15. Count by the spaces not the lines. 15/100 simplifies to 3/20.
Help me I don’t know how to do this
Please help! Determine the function which corresponds to the given graph.
By identifying that it is a translation of the natural logarithm, we see that the function is:
g(x) = ln(x - 5).
How to determine the function?
We can see that the function has a logarithmic behavior. We know that the function:
f(x) = ln(x)
Has an asymptote at x = 0, and is equal to 0 for x = 1.
For our function, we can see that the asymptote is at x = 5 and the zero is at x = 6. So the graphed function seems to be the natural logarithm translated 5 units to the right.
Then the function graphed is:
g(x) = f(x - 5) = ln(x - 5)
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Use the volume formula to find the volume of the prism.
help!!
20 points!!
Answer:
B. 9 cubic units
Length×width×height
10 points need this answer ASAP
Answer:
C
Step-by-step explanation:
Y=2(-1)+3
y=-2+3
y=1
true
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensions of the pen that will maximize the area (100 PTS + BRAINLIEST)
Answer:
[tex]W_{max}=320m\\ L_{max}=160m[/tex]
Step-by-step explanation:
Since we know we only have 640 feet of fence available, we know that L + W + L = 640, [tex]\implies [/tex] 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L
Remember, the area of a rectangle is equal to the product of its width and length, therefore,
[tex]A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2[/tex]
Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.
recall,
[tex]x_{max}=-b/2a[/tex][tex]f(x)_{max}=f(x_{max})[/tex]Since our function is A(L)=640L-2L², we get
a=-2b=640plug in the value of a and b into the first formula:
[tex]L_{max}=-(640)/2(-2)\implies 160 [/tex]
[tex]A(L)_{max}=640(160)-2(160)^2\implies 51200 [/tex]
hence,the dimensions of the pen that will maximize the area are L=160m and W=51200/160=320m
and we're done!
Answer:
width (x) = 160 m
length (y) = 320 m
(refer to the attached diagram)
Step-by-step explanation:
**see attached diagram**
Let x = width of the pig pen
Let y = length of the pig pen
(where length > width)
Given:
Fence = 640 m4th side is the barn⇒ 2x + y = 640 m
⇒ y = 640 - 2x
Area of the pig pen = width × length
⇒ f(x) = xy
Substituting y for y = 640 - 2x:
⇒ f(x) = x(640 - 2x)
= 640x - 2x²
Now we have a function for the area of the pig pen, to find the value of x that will maximize the area, differentiate the function:
⇒ f'(x) = 640 - 4x
Set it to zero and solve for x:
⇒ f'(x) = 0
⇒ 640 - 4x = 0
⇒ 640 = 4x
⇒ x = 160
Substitute the found value of x into y = 640 - 2x to find the length:
⇒ y = 640 - 2(160) = 320
Therefore, the dimensions of the pen that will maximize the area are:
width (x) = 160 mlength (y) = 320 mPlease help asap!
Which of the graphs has the greatest rate of change?
A) Graph A
B) Graph B
C) Graph C
D) Graph D
Answer:
B) Graph B
Step-by-step explanation:
Help help ASAP math math
Answer:
-25
Step-by-step explanation:
f(-12) means x = -12
so you just plug it in the equation and solve for x
[tex]f(x) = 3(-12)+11\\f(x) = -36+11\\f(x) = -25[/tex]
What is the perimeter of a rectangle 5cm by 8cm?
Answer:26
Step-by-step explanation:
HELP QUICKLY PLEASE
31. Tony is borrowing $10 from his mom every week for buying more toy cars for his Hot Wheels collection. How much money does he owe at the end of 7 weeks?
33. Linda borrowed $7 a day until she had borrowed a total of $56. For how many days did she borrow money?
34. The temperature increased 2o per hour for six hours. How many degrees did the temperature raise after six hours?
35. Max lost 24 pounds in 8 weeks on his new weight-loss plan. What was his average change in weight per week?
Answer:
the answer to 33 is 8 7×8=56 or 56÷7
The area of a circle with radius r is given by the formula A = (pi)r^2. If a circle has area 4(pi) square inches, what is the radius?
Answer:
[tex]\displaystyle 2\:in.[/tex]
Step-by-step explanation:
[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{4\pi}{\pi} \hookrightarrow \sqrt{4} = \sqrt{r^2} \\ \\ \boxed{2 = r}[/tex]
I am joyous to assist you at any time.
Solve the equation for x.
-2x = 14
Enter the number that belongs in the green box.
x = [?]
i really need helps with this i dont understannd it
Answer:
A < C < B = 0.2 < 0.222 < 0.25
Step-by-step explanation:
the best way to do these least to greatest questions is to get them all in the same units so you can compare.
A = [tex]\sqrt{\frac{1}{25} }[/tex]which is [tex]\sqrt{0.04}[/tex] = 0.2
B= 1/4 = 0.25
c=0.22222222.....
now that they are in the same units we see A is the smallest, then C, and then B