Which equation is represented by the graph below?
A. Y= 1/8e^x
B. Y= 1/2e^x
c. Y=2e^x
D. Y= 8e^x
#49
Answers
Answer:
B
Step-by-step explanation:
When x = 1, it appears y is in between 1 and 2.
The only choice that satisfies this is B.
Answer:
The equation that represents the graph is y=2e^x
Step-by-step explanation:
plug in geogebra and confirm:D
Related Questions
PLEASE help me with this question, and preferably leave your handwritten answer
(Easier for me to understand) but typed is also ok :)
Help is greatly appreciated!!
Answers
Using a system of equations, it is found that there were 100 students at the bus stop.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Number of boys in the bus stop.Variable y: Number of girls in the bus stop.Considering the first paragraph, the equation is:
[tex]\frac{x}{y - 25} = \frac{3}{2}[/tex]
Considering the second paragraph, the equation is:
y - 25 = x - 15.
Hence:
y = x + 10.
Replacing on the first equation:
[tex]\frac{x}{x - 15} = \frac{3}{2}[/tex]
3x - 45 = 2x
x = 45.
y = x + 10 = 55.
The total number was:
45 + 55 = 100.
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what is the range if the given function?
Answers
Answer:
Second option
Step-by-step explanation:
The range is the set of output values a function can take. As shown in the table, as x is substituted in, y is the corresponding value.
The time taken to complete a motorcycle race is normally distributed, with an average time (µ) of 2.5 hours and a standard deviation () of 0.5 hours.
What is the probability that a randomly selected cyclist will take at least 2.45 hours to complete the race?
Answers
Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 2.5, \sigma = 0.5[/tex]
The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is one subtracted by the p-value of Z when X = 2.45, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.45 - 2.5}{0.5}[/tex]
Z = -0.1
Z = -0.1 has a p-value of 0.4602.
1 - 0.4602 = 0.5398.
0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
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Rewrite as an exponential equation.
In 5 = y
Answers
The equation ln 5 = y as an exponential equation is [tex]e^y = 5[/tex]
How to rewrite the expression?The natural logarithm equation is given as:
ln 5 = y
Rewrite as:
ln(5) = y
Take the exponent of both sides
[tex]e^{ln(5)} = e^y[/tex]
Evaluate the expression
[tex]5 = e^y[/tex]
Rewrite as:
[tex]e^y = 5[/tex]
Hence, the equation ln 5 = y as an exponential equation is [tex]e^y = 5[/tex]
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that any pair of congruent triangles is similar True or false.
Answers
Answer:
yes it's true no problem sir
A scientist wants an 81milliliter of saline solution with a concentration of 5% she has concentrations of 3% and 9%. How much of each solution must she use to get the desired concentration
Answers
The quantity of each concentrations of 3% and 9% needed to get the desired concentration is 54 milliliters and 27 milliliters respectively
Simultaneous equationLet
Quantity of 3% needed = xQuantity of 9% needed = yx + y = 81
0.03x + 0.09y = 81 × 5%
0.03x + 0.09y = 4.05
x + y = 81
0.03x + 0.09y = 4.05
From (1)
x = 81 - y
Substitute into0.03x + 0.09y = 4.05
0.03(81 - y) + 0.09y = 4.05
2.43 - 0.03y + 0.09y = 4.05
- 0.03y + 0.09y = 4.05 - 2.43
0.06y = 1.62
y = 1.62/0.06
y = 27
substitute y = 27 intox = 81 - y
x = 81 - 27
x = 54
Simultaneous equation:
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Graph line y=-1/5x-5 with y and x points
Answers
Answer:
Please see picture below.
Step-by-step explanation:
4. In the figure above ABCD is a parallelogram with
mLB = 60°, BC = XC = AZ = 4, XZ BC. What
is the perimeter of parallelogram ABCD?
Answers
Answer:
G. 24
Step-by-step explanation:
The perimeter of the figure is the sum of its side lengths. The given dimensions tell us all of the side lengths.
AnalysisTriangle BCX is given as an isosceles triangle with a base angle of 60° and side lengths of 4. Such a triangle is equilateral, so all side lengths will have a measure of 4.
The given information tells us all sides that appear parallel are parallel, so the figure consists of 4 equilateral triangles. Every short line segment has length 4.
PerimeterThe perimeter is the length of 6 short line segments, so is ...
P = 6×4 = 24
The perimeter of parallelogram ABCD is 24 units.
please give answer to these fractions give STEPS
no scam 30 points + BRAINLIEST
1/2 × 3/5 ÷ 9/15 - 6/4 ÷ 4/1
Answers
Answer:
1/8
Step-by-step explanation:
Look at the screen shots
The total square footage of your house is 1200 square feet. You want to put new carpet in every room, hallway, and closet, except for the kitchen, dining room and bathroom. If the kitchen is 10 ft by 12 ft and the dining room is 11 ft by 13 ft and the bathroom is 6 ft by 8 ft, how many square feet of carpet do you need for the house?
Answers
The number of square feet of carpet needed for the rooms is 889 ft².
How to find the area of a figure?The total square footage of your house is 1200 square feet.
He wants to put new carpet in all rooms except for the kitchen, dining room and bathroom.
Therefore,
total area = 1200 ft²
Area of the other rooms with no carpet = (10 × 12) + (11 × 13) + (6 × 8)
Area of the other rooms with no carpet = 120 + 143 + 48
Area of the other rooms with no carpet = 311 ft²
Hence, the number of square feet for the house = 1200 - 311 = 889 ft²
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Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1700 fish. Absent constraints, the population would grow by 170% per year.
Answers
Answer: 2890
Step-by-step explanation:
a = b x p%
= 1700 x 170%
= 1700 x 1.7
= 2890
the population would be 2890 fish after one year
Instructions: Identify the vertices of the feasible region for the given linear programming constraints.
Optimization Equation: z=−3x+5y
Constraints:
x+y≥−2
3x−y≤2
x−y≥−4
Fill in the vertices of the feasible region:
(0, )
(-3, )
(3, )
Answers
The vertices of the feasible region are (0, -2), (-3, 1) and (3, 7)
How to identify the vertices of the feasible region for the given linear programming constraints?The optimization equation is given as
z=−3x+5y
The constraints are given as:
x+y≥−2
3x−y≤2
x−y≥−4
Next, we plot the constraints on a graph and determine the points of intersections
See attachment for the graph
From the attached graph, the points of intersections are
(-3, 1), (3, 7) and (0, -2)
So, we have:
(0, -2)
(-3, 1)
(3, 7)
Hence, the vertices of the feasible region are (0, -2), (-3, 1) and (3, 7)
So, the complete parameters are:
Optimization Equation:
z=−3x+5y
Constraints:
x+y≥−2
3x−y≤2
x−y≥−4
Vertices of the feasible region
(0, -2)
(-3, 1)
(3, 7)
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The system of equations is graphed on the coordinate plane.
y=x−1
y=−2x−4
Enter the coordinates of the solution to the system of equations in the boxes.
Answers
Answer:
(-1,-2)
Step-by-step explanation:
Hello!
The solution to the system is at the intersection between the two graphed lines.
Remember that a coordinate is written in (x,y) format, so we take the x-value of the points and the y-value of the point.
The coordinate is (-1, -2).
Step by step
You have two equations
y= x -1 (we will call equation A)
y= -2x-4 (we will call equation B)
Substitute equation A for the “y” value in equation B
x-1 = -2x -4
We need to isolate x to one side of the = so first we will add 1 to both sides
x-1+1 = -2x -4 +1
Combine like terms
x = -2x -3
Now add 2x to both sides
2x + x = -2x +2x -3
Combine like terms
3x = -3
Now solve for x by dividing both sides by 3
3/3x = -3/3
X= -1
Now we can solve for “y” by substituting our “x” value into equation A
y = -1 -1
y = -2
Now you can check your work by substituting your x and y values into with equation
A (-2) = -1 -1
A -2 = -2
B -2 = -2(-1) -4
B -2 = -2
Problem solved and graph is correct - see attached
The demand for a given product demand is formulated by the linear trend equation: y= 50 – 6t.
Based on this information, when would be the first period that there is NO demand at all for this product?
Answers
Answer:
t >= [tex]\frac{25}{3}[/tex] or 8.33333333333
Step-by-step explanation:
We need to set up an inequality where demand is less than or equal to 0. The inequality looks like this:
50 - 6t <= 0
50 <= 6t
t >= [tex]\frac{25}{3}[/tex] or 8.33333333333
La nota de Karina en su curso de nivelación matemática es 7 veces la cantidad de factores primos que tiene el siguiente polinomio:
P (a; b; c) =a(a +b-c) +b(a+ b-c) +c(a +b- c)
Hallar la nota que obtuvo.
Answers
Karina obtuvo una nota final de 84 de 100 puntos en su curso de nivelación matemática.
¿Qué nota obtuvo Karina obtuvo en su curso de nivelación matemática?
Antes de comenzar la resolución de este problema, asumimos que la base de calificación del curso de nivelación matemática es 100 y que la nota mínima para pasar es 70. Por otra parte, sabemos que la nota obtenida por Karina es divisible por 7 y que es el producto de aquel número primo y un polinomio formado por una relación de tres números primos, la cual es simplificada a continuación:
p (a, b, c) = a · (a + b - c) + b· (a + b - c) + c · (a + b - c)
p (a, b, c) = a² + a · b - a · c + a · b + b² - b · c + a · c - b · c - c²
p (a, b, c) = a² + 2 · a · b + b² - c²
p (a, b, c) = (a + b)² - c²
p (a, b, c) = (a + b + c) · (a + b - c)
Si asumimos que Karina obtuvo 84, entonces se tiene que 84 = 7 × 12 y 12 = 2 × 6. Tanto el dos como el seis son múltiplos de dos, entonces asumimos a = b = c y encontramos que:
n (2, 2, 2) = 7 · (2 + 2 + 2) · (2 + 2 - 2)
n (2, 2, 2) = 7 · 6 · 2
n (2, 2, 2) = 84
En síntesis, Karina obtuvo una nota final de 84 de 100 puntos en su curso de nivelación matemática.
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Which of the following is a true proportion of the figure based on the triangle
proportionality theorem?
Answers
Based on the triangle proportionality theorem, the true proportion is h/j=k/i
How to solve for the true proportionIn the diagram that we have here, we have TU to be parallel to QR.
We have following
ST is equal to h, TQ is equal to j, SU is equal to k and UR is equal to i.
This can then be used to form the equation
ST/TQ = SU/UR
When we h/j = k/i
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a square foot has 16 tiles each tile is 1 square ft what is the length of one side of the square floor
Answers
Answer:
4 ft
Step-by-step explanation:
The area of each tile is tile is 1 square ft, so the total area of the floor is 16 square ft.
Therefore, the side length is 4 ft.
Evaluate functions from their graph g(−9)=
See the Correct Answer Attached!
Answers
Evaluating the function from the given graph, g(-9) = 1.
How to Evaluate a Function?To find the value of a function for a given x-value using a given graph, trace the x-value against the corresponding y-value on the y-axis.
To evaluate the function from the graph given, for g(-9), find the y-value that corresponds to the x-value of -9.
The graph shows that when x = -9, the corresponding y-value is 1.
Therefore, g(-9) = 1.
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Find A when p= 2000, r= 7%, n= 4, and t= 4
Answers
A=prt
A=2000×7%×4
=560
Saca la medida de la pala superior e inferior con respecto a las siguientes medidas
*No son de la misma medida*
Answers
La pala inferior y la pala superior tienen longitudes verticales de 55 y 65 centímetros, respectivamente. No es posible encontrar las longitudes horizontales.
¿Cuáles son las medidas de la pala superior y la pala inferior de un arco compuesto?
En esta pregunta debemos saber interpretar las dimensiones geométricas de un arco compuesto y determinar las longitudes de cada pala. Primero, determinamos las longitudes verticales de cada una:
Pala inferior
i = 65 cm - 10 cm
i = 55 cm
Pala superior
s = 65 cm
La insuficiencia de datos sobre longitudes horizontales no permite obtener las longitudes horizontales de cada pala.
La pala inferior y la pala superior tienen longitudes verticales de 55 y 65 centímetros, respectivamente. No es posible encontrar las longitudes horizontales.
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Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard deviation of 16. What is the probability that a certain rope will break before being subjected to 120 pounds? (You may need to use the standard normal distribution table. Round your answer to four decimal places.)
Answers
The probability that a certain rope will break before being subjected to 120 pounds is 89.4%.
What is the probability that a certain rope will break before being subjected to 120 pounds?The probability is calculated as follows:
Mean = 100
Standard deviation = 16
The probability is obtained from the z-score.
x = mean + z-score * standard deviation
120 = 100 + z-score * 16
z-score = 20/16
z-score = 1.25
From normal distribution table, the probability with a z-score of 1.25 is 89.4%
In conclusion, the probability is obtained from the z-score.
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Which of the following are solutions to the quadratic equation? Check all that apply. x² + 10x + 25 = 7
A. 5
B. -5
C. √7-5
D. -√7-5
E. √7 +5
F. √7
Answers
Answer: C, D
Step-by-step explanation:
[tex]x^2 +10x+18=0\\\\x=\frac{-10 \pm \sqrt{10^2 - 4(1)(18)}}{2}\\\\x=\frac{-10 \pm \sqrt{28}}{2}\\\\x=-5 \pm \sqrt{7}[/tex]
look at the picture
Answers
The interval where the function is increasing is (3, ∞)
Interval of a functionGiven the rational function shown below
g(x) = ∛x-3
For the function to be a positive function, the value in the square root must be positive such that;
x - 3 = 0
Add 3 to both sides
x = 0 + 3
x = 3
Hence the interval where the function is increasing is (3, ∞)
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Factor f(x) =3x^2+23x^2-35x+9 into linear factors given that -9 is a zero of f(x).
Answers
Using the Factor Theorem, the function factored into linear factors is given as follows:
[tex]3x^2 + 23x^2 - 35x + 9 = 3(x + 9)(x - 1)\left(x - \frac{1}{3}\right)[/tex]
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
-9 is a zero of f(x), hence [tex]x_1 = -9[/tex] and:
3x³ + 23x² - 35x + 9 = (x + 9)(ax² + bx + c)
ax³ + (b + 9a)x² + (9b + c)x + 9c = 3x³ + 23x² - 35x + 9
The coefficients are given as follows:
a = 3.9c = 9 -> c = 1.b + 9a = 23 -> b = -4.Hence:
3x³ + 23x² - 35x + 9 = (x + 9)(3x² - 4x + 1)
[tex]3x^2 + 23x^2 - 35x + 9 = 3(x + 9)(x - 1)\left(x - \frac{1}{3}\right)[/tex]
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Solve the following system of equations by elimination. What is the value of x? x = 1.5 x = -1.5 x = 8 x = -8
Answers
Using the elimination method, the value of x in the system of equations is calculated as: 8.
How to Solve a System of Equations by Elimination?To solve a system of equations given using the elimination method, do the following:
Multiply 2x - 5y = 1 by 2 and multiply -3x + 2y = -18 by 5 to get the following:
4x - 10y = 2 --> eqn. 1
-15x + 10y = -90 --> eqn. 2
Add
-11x = -88
Divide both sides by -11
x = 8
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PLEASE NEED HELP
A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has an approximately Normal distribution, with a mean of 28.2 ounces and a standard deviation of 0.4 ounces. Boxes are often weighed before shipping, and any box with a weight of at most 27.5 ounces is considered underweight and is rejected for distribution. What percentage of filled boxes of rice are rejected for distribution?
Find the z-table here.
4.0%
24.2%
75.8%
96.0%
Answers
Answer:
D) 96%
Step-by-step explanation:
If you take 96% of 28.6 you get 27.6 so it fits
A ternary string of length n is a sequence of n digits in which only 0, 1, or 2 appear.
For example, (0,1,0,2) and (1,1,2,2) are ternary strings of length 4 and can be seen as: 0102 and 1122.
How many ternary strings of length 2n are there in which the zeros appear only in odd positions?
Answers
dunnodunnodunnodunnodunnodunnodunnodunnodunnodunnodunnodunnodunnodunno
dunno
PLEASE HELP!!
From the triangle below, if AD=2 and CD=8. Find the Length of side AB
Answers
Find the standard deviation for the set of data. (17,26,28,9,30, 29,6,21,23}
Answers
Using it's concept, the standard deviation for the given data-set is of 8.22.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.The mean for this problem is:
M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21
Hence the standard deviation is:
[tex]S = \sqrt{\frac{(17-21)^2 + (26-21)^2 + (28-21)^2 + \cdots + (21-21)^2 + (23-21)^2}{9}} = 8.22[/tex]
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The price, p, for different size orders of custom printed shirts, n, is given in the table.
Number of shirts ordered (n) 1 5 20 100
Price of order (p) $35 $75 $225 $1025
Can a linear equation be used to model the situation? If it can, what is the slope and the y-intercept of the equation?
linear: slope = 40, y-intercept = 35
linear: slope = 10, y-intercept = 25
A linear equation cannot be used.
linear: slope = 15, y-intercept = 0
Answers
Yes a Linear Equation can be used and the slope and the y-intercept of the equation are respectively; B: slope = 10, y-intercept = 25
How to Write an equation in Slope Intercept Form?
We are given the coordinates;
(n, p) = (1, 35), (5, 75), (20, 225), (100, 1025)
Now, the way to find the slope is;
m = (y2 - y1)/(x2 - x1)
m = (75 - 35)/(5 - 1)
m = 10
The equation that models this is;
(y - 35)/(x - 1) = 10
y - 35 = 10x - 10
y = 10x + 25
Thus, y-intercept is at x = 0.
y = 10(0) + 25
y = 25
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