The functions and their descriptions are:
Polynomial: [tex]y = \frac{5x^3}{8}[/tex] and [tex]y = 5x^3 + 8[/tex]Logarithm: [tex]y = 6 + 0.25\ln(x)[/tex]Exponential [tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]How to describe the functions?The functions are given as:
[tex]y = \frac{5x^3}{8}[/tex]
[tex]y = 6 + 0.25\ln(x)[/tex]
[tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]
[tex]y = 5x^3 + 8[/tex]
The functions would be described based on the type of function they represent.
Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.
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Answer:
Select the correct word to describe the function.The equation represents ✔ a powera logistica logarithmican exponential function.The equation y = 6 + 0.25 ln x represents X a logistica polynomial✔ a logarithmican exponential function.The equation represents a power✔ a logistica polynomiala logarithmic function.The equation y = 5x3 + 8 represents a powera logistic✔ a polynomialan exponential function.
Step-by-step explanation:
you are so welcome
a washing machine was reduced in sale by 15% the sale price is now £238 what was the original price?
Answer:
£280
Step-by-step explanation:
238/0.85
WILL GIVE BRAINLIEST Help me please! The questions are in the photos below.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ².
What is Pythagorean theorem?Pythagorean theorem is a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.
Mathematically, Pythagorean's theorem is given by this formula:
x² + y² = z²
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ². It is given that x² + y² = z² in triangle ABC, so z² = PQ² or AB = PQ.
The above information shows that the triangles are congruent because their three (3) sides are congruent. Therefore, to show that triangle PQR is a right triangle, we can use corresponding parts of the congruent triangles to show that PQ = AB, PR = AC and QR = BC.
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what would i put in, in the blanks? please help, i don’t get this
The function f(x) is a logarithmic function with a horizontal asymptote of y=1. The range of the function is all real numbers greater than 1, and it is decreasing on its domain of x>0. The end behavior on the LEFT side is as x approaches zero, y approaches infinity, and the end behavior on the RIGHT side is as x approaches infinity, y approaches 1.
add. express your answer in simplest form. 1/12 + 5/12
Answer:
The answer is 1/2
Answer:
1/2
Step-by-step explanation:
[tex]\frac{1}{12}+\frac{5}{12} = \frac{6}{12}\\ \\ \frac{6}{12} = \frac{1}{2}[/tex]They are both equivalent fractions. If you divide the numerator and denominator both by 6, you get 1/2.
The diameter of a circle is 12 miles. What is the circle's area use 3.14
Step-by-step explanation:
Are of a circle is πr^2
to find the radius r=d/2
=12/2=6r
3.14x6x6
=169.56 cm^2
please mark as brainliest
jasper
For 33 hours of work, you are paid $245.85. how much would you receive for 39 hours?
Answer:
$290.55
Step-by-step explanation:
We can use a ratio to solve
33 hours 39 hours
---------------- = -------------
245.85 x dollars
Using cross products
33 * x = 39* 245.85
33x=9588.15
Divide each side by 33
33x/33 = 9588.15-33
x =290.55
Can someone help pls
Answer:
B.) No, because it fails the vertical line test.
Step-by-step explanation:
You can determine whether or not graphs represent functions by performing the vertical line test. This test states that to be a function, there must only be one output for every input. In other words, there must be only one "y" value per "x" value. As you can see, for some "x" values there is more than one "y" value.
The easiest way to perform this test is by placing your finger at the top of the graph and moving it downwards. If you cross the line twice, then it must not be a function.
hey guys my last question please answer :) peace and love guys
Looking at the problem statement, this question states for us to determine the range of the function that is provided in a graph is. Let us first determine what range is.
Range ⇒ Range is what y-values can be used in the function that is graphed. For example, if a line just goes up and down all the way to negative and positive infinity, then the range would be negative infinity to positive infinity as it includes all of the y-values in it's solutions.Now moving back to our problem, we can see that we have a vertex at (2, -5) and that the lowest y-values is at y = -5. Therefore the y-values would be anything greater than or equal to -5 and less than infinity because the lines go forever up in the positive-y-direction.
Therefore, the option that would best match the description that we provided would be option B, -5 ≤ y < ∞.
Professor Hopkins is grading the final exam. She notices that the
mean test score is 71, and the standard deviation is 6. The test
scores were normally distributed.
If there were 300 students in the data sample, how many would
have a test score between 71 and 83?*
*Round your answer to the nearest whole value.
students
Answer:
143
Step-by-step explanation:
The interval of interest extends from the mean score (71) to 2 standard deviations above the mean (71+2(6) = 83). The area under the normal distribution curve in this interval can be found using a suitable table, probability app, spreadsheet, or web site. It can also be found using the "empirical rule", which tells you that the 95% of the area is within 2 standard deviations of the mean.
__
Since the curve is symmetrical, and we're only interested in the area above the mean, the empirical rule tells us that 95%/2 = 47.5% of the sample will be in the range of interest.
0.475 × 300 = 142.5 ≈ 143
143 students will have a score between 71 and 83.
__
The attachment shows a calculator output for the same calculation. You will notice it is slightly different from the "empirical rule," which is only an approximation. Either way, we find 143 students have scores in the range.
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 31 feet up. The ladder makes an angle of 78
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answer:
30.7 ft ladder length
Step-by-step explanation:
The ladder makes the hypotenuse of a right triangle
31 feet is the opposite leg of 78 degree angle
sin 78 = opposite / hypotenuse
sin 78 = 30/ hypot
30 / (sin 78 ) = hypotenuse = 30.7 ft
Answer:31.7
Step-by-step explanation:
Someone help me with this
Answer:
radius = √35 mm or 5.916 mm
Explanation:
[tex]\sf area \ of \ circle = \pi r^2[/tex]Here:
area of circle: 110 mm²π taken as 22/7Solve for radius:
[tex]\rightarrow \sf \pi r^2 = 110[/tex]
[tex]\rightarrow \sf \dfrac{22}{7} r^2 = 110[/tex]
[tex]\rightarrow \sf r^2 = \dfrac{110(7)}{22} =35[/tex]
[tex]\rightarrow \sf r = \sqrt{35}[/tex]
Let's see
Area=110πr²=11022/7r²=110r²≈110(7)/22r²=770/22r=√770/22r=5.9mmWhich statements are true about the solution 2< x -7
Here the options
First one to reply within 5 minutes gets 100 points and brainlist
B. x > 9
D. The graph has open circle.
F. The arrow to the right.
Solving Steps:⇒ 2 < x - 7
⇒ 2 + 7 < x
⇒ 9 < x
⇒ x > 9
Explanation:Here as the inequality sign is ">" it will be a open circle.
Note: "≤" and "≥" inequality signs have closed circle.
As x > 9, the arrow points will be towards right.
What is the area of a circle with a radius of 21?
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
[tex]\textsc{heya!}[/tex]
we need to find the area of a circle with a radius of 21.
we also need a formula for this, which is
⇒ [tex]\bold{A=\pi r^2}[/tex]
the known value is r, radius, 21.
after substituting the value into the formula, we obtain:
⇒ [tex]\bold{A=\pi (21)^2}[/tex]
now we multiply the radius times itself:
⇒[tex]\bold{A=\pi *441}[/tex]
which can be written as
⇒[tex]\bold{A=441\pi}[/tex]
and finally, multiply the values
⇒ [tex]\bold{A=1385.4\;units\;^2}[/tex]
[tex]\textsc{hopefully\:helpful}[/tex]
by: [tex]\textsc{$^da_nc^in_g$}[/tex]
have a great rest of your day ahead ~ = )
Find the measure of the angle indicated
Answer:
59°
Step-by-step explanation:
Well, as you can see from the figure, the line WU is a diameter which means that it is a straight line. So, Angle WSU is 180° (Because straight angles are 180°)
Also, angle WSU is formed by addition of angle VSW and VSU. The value of VSU is given in the picture. So,
∠VSW + ∠VSU = 180°
∠VSW = 180° - ∠VSU
∠VSW = 180° - 121 (Because ∠VSU is given 121°)
∠VSW = 59°
Therefore, angle VSW is 59 degrees.
So, here you go. I hope you understand my explanation. Have a good day.
- Eddie
e0.02t
where
The population of a town is modeled by the equation P = 16, 581e'
Prepresents the population tyears after 2000. According to the model, what
will the population of the town be in 2020?
CL
Are any of these funtions?
Answer: The first and the fourth option
Step-by-step explanation:
Every input of a function can have only one output.
Option one is a function.
See the attached image as to why option two is not a function.
Option three has two outputs for the input value of "20" meaning it is not a function.
Option four is a function.
Question 2 of 10
If
f(x) = 4x-3, which of the following is the inverse of f(x)?
O A. f¹(x) = 4x+3
7
○ B. /-¹(x) = 7x-3
4
O c. f¯¹(x) = 4x-3
7
Which is not a function?
Can give brainliest!!
Answer:
3
Step-by-step explanation:
A function cannot have two y values for any value of x
answer three has two y values for x =1
Complete the function table.
Input (n) Output (n − 3)
0
2
8
A function assigns the value of each element of one set to the other specific element of another set. The output for the given inputs 0, 2, and 8 in the table is -3, -1, and 5, respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given function table, the function table can be filled as,
Input (n) Output (n − 3)
0 (0 - 3) = -3
2 (2 - 3) = -1
8 (8 - 3) = 5
Hence, the output for the given inputs 0, 2, and 8 in the table is -3, -1, and 5, respectively.
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Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).
X -6 -4 -1 3 4
f(x) 15 11
5 -3 -5
g(x) -36 -26 -11 9 14
O (0,9)
O (0, 3)
O (0, -3)
O (0, -9)
The y-intercept of linear function (f- g)(x) is (0,9)
How to determine the y-intercept?The table of values is given as:
x -6 -4 -1 3 4
f(x) 15 11 5 -3 -5
g(x) -36 -26 -11 9 14
The equations of the functions is calculated using:
[tex]y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1[/tex]
So, we have:
[tex]f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15[/tex]
Evaluate
f(x) = -2x + 3
Also, we have:
[tex]g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36[/tex]
Evaluate
g(x) = 5x - 6
Next, we calculate (f - g)(x) using:
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = -2x + 3 - 5x + 6
Substitute 0 for x
(f - g)(0) = -2(0) + 3 - 5(0) + 6
Evaluate
(f - g)(0) = 9
Hence, the y-intercept of (f- g)(x) is (0,9)
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PLEASE HELPPP ITS WORTH 20 points!!!
Answer:
tanD =4/7
Step-by-step explanation:
tanD = P/B
Where P=4 and B=7
So;
tanD=4/7
On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. What is the probability that Erin will not have a heart attack and the test predicts that she will?
A.
0.099
B.
0.201
C.
0.231
D.
0.469
Look at the image below and figure it out i have 10 min
Answer:
The first one is Perimeter The second one is Area The third on is Volume.
Step-by-step explanation:
A box big enough to hold a computer is the area of something, A fence to go around the garden would be the perimeter, enough carpet to cover the floor is the volume
A fence to around a flower garden ---> perimeter
A box big enough to hold a computer ---> volume
Enough carpet to cover the floor ---> area
What is perimeter?Distance around the outside of a shape.
What is volume?The number of cubic units that make up a solid figure; the amount of space the figure occupies. In Cubic Units, or units³.
What is area?The space or surface enclosed in 2-dimensional shape.
Using these definitions, it can be said that the fence acts as a perimeter surrounding a flower garden. Each side has a length.
A box big enough enough to hold a computer is the amount of space in the box to make it big enough to hold the computer (The volume of the box).
The amount of carpet to cover the floor is acting as a 2-dimensional shape scenario as the carpet is likely a standard typical shape such as a rectangle or square. Overall, enough to occupy a standard-sized room.
DILATE TRIANGLES URGENTTTTTT
photo is inserted so work from that, the original triangle is the one in blue.
The Dilation is 0.76
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.
Dilation or scale factor= Dimension of new shape/ dimension of old shape
= Perimeter of new triangle(green)/ Perimeter of old Triangle (blue)
= 8.3/10.9
= 0.76
Hence, the scale factor is 0.76.
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178x991x001 =? solve for brainiest
Answer:
176398Step-by-step explanation:
That comes out, hopefully it's not failing
Answer:
176,398
It wont always be easy, but always try to do what ' s right!
In a world of worriers, be the warrior!
When nothing goes right, go left.
A line contains the points (3, 2) and (6, 0). What is the equation of the line?
A
y = 3x + 2
B
y = 2x - 2
C y = -2x+3
D
2/3x+4
is (0,0) a solution to this system? y ≤ x^2 + x - 4 y < x^2 + 2x + 1
( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.
What is inequality?
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than’
Finding the solution for the inequality is as follows:-
y ≤ x² +x-4 by putting x and y equal to 0.
0 ≤ 0 + 0 -4
0 ≤ - 4
This is incorrect so (0,0) can not be the solution for this inequality.
y < x²+2x+1.
0 < 0 + 0 + 1
0 < 1
This inequality is showing the solution for (0,0)
Therefore ( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.
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Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction.
The shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option - A circle with a diameter of 5 feet
Determining shapeFrom the question, we are to determine the statement that describes the shape of the barrier
From the given information,
The barrier is 2.5 feet from the tomato plant in every direction.
This can be likened to a circle that has a radius of 2.5 feet.
Recall: Radius of a circle is the distance from the center of the circle to any point on it's circumference
If radius of a circle is 2.5 feet, the diameter will be 2 × 2.5 feet = 5 feet
Hence, the shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option- A circle with a diameter of 5 feet
Here is the complete question:
Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction. Which statement describes the shape of the barrier?
A circle with a radius of 5 feet
A square with diagonals 5 feet long
A square with sides 5 feet long
A circle with a diameter of 5 feet
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hypotenuse I think????????????????????????
Answer:
You have walked 7.0 steps
Step-by-step explanation:
You just add 4 steps by 3 steps, so 4+3=7