The set of all possible outcomes during the course of an experiment is called a sample space.

Option B) she will be there 5:35

have a great day :)

Reason:

She starts driving at 5:03 p.m. which is 3 minutes past the hour.

It's a 32 minute drive. Meaning that when she arrives, it will be 3+32 = 35 minutes past the hour (of the same hour).

Therefore, she started at 5:03 p.m. and arrived at 5:35 p.m.

The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

Learn more about the end behavior of function here:

brainly.com/question/11808280

#SPJ1

Answer:

145.309

Step-by-step explanation:

So we want to find the midpoint of the two number: 145.809 and 144.809, what we want to do it to find the difference between the two numbers and then divide it by 2 so we can find the halfway point:

145.809 - 144.809 = 1

^ So from this, we just have to add half of 1 or 0.5 to the smaller number:

144.809 + 0.5 = 145.309

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

Using a subtraction operation, the overall temperature change over those five days that Joe tracked the temperature in his town was a decrease of 3°C.

The temperature change can be computed by determining the differences in temperature from one day to the next and summing the differences.

The temperature change can also be computed by finding the difference between the ending period's temperature and the beginning period's temperature.

Days         Temperature     Change

Monday          23°C                  0

Tuesday          14°C (23 - 9)    -9

Wednesday    21°C (14 + 7)    +7

Thursday       25°C (21 + 4)    +4

Friday            20°C (25 - 5)    -5

Overall change =                  -3°C

= 20°C - 23°C = -3°C

Learn more about subtraction operations at https://brainly.com/question/4721701

#SPJ1

Step-by-step explanation:

A is in geometric sequence as 3 is added in the number,

2 + 3 = 5, 5 + 3 = 8, 8 + 3 = 11

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

Answer:

The third answer is correct

Step-by-step explanation:

Solve the inequality by compensating it like an equation.

Answer:

3rd line

Step-by-step explanation:

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

Answer: x = 4

Step-by-step explanation:

Given equation

7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5

Combine like terms on both sides

(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5

4x + 14/3 - 17 = 2x + 2/3 - 5

Subtract 2/3 on both sides

4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3

4x + 12/3 - 17 = 2x - 5

4x + 4 - 17 = 2x - 5

4x - 13 = 2x - 5

Add 13 on both sides

4x - 13 + 13 = 2x - 5 + 13

4x = 2x + 8

Subtract 2x on both sides

4x - 2x = 2x + 8 - 2x

2x = 8

Divide 2 on both sides

2x / 2 = 8 / 2

\(\boxed{x=4}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

\(0\)

Step-by-step explanation:

We can see that the point \((0,0)\) is on the graph.

(a) Given \(f(x) = x^3\), the derivative is

\(f'(x)=3x^2\)

which is exists for all \(x\) in the domain of \(f\), so \(]f\) is differentiable everywhere and satisfies the mean value theorem. There is some number \(c\) in the open interval (0, 2) such that

\(f'(c) = \dfrac{f(2) - f(0)}{2-0} \iff 3c^2 = \dfrac{8-0}2 = 4\)

Solve for \(c\) :

\(3c^2 = 4 \implies c^2 = \dfrac43 \implies \boxed{c = \dfrac2{\sqrt3}}\)

We omit the negative square root since it doesn't belong to (0, 2). Graphically, the MVT tells us the tangent line to the curve \(f(x)=x^3\) at \(x=\frac2{\sqrt3}\) is parallel to the secant line through the endpoints of the given interval.

(b) \(f(x)=1+x+x^2\) has derivative

\(f'(x)=1+2x\)

By the MVT,

\(f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff 1+2c = \dfrac{7-1}2 \implies \boxed{c = 1}\)

(c) \(f(x) = \cos(2\pi x)\) has derivative

\(f'(x) = -2\pi \sin(2\pi x)\)

By the MVT,

\(f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff -2\pi \sin(2\pi c) = \dfrac{0-0}2 \implies \sin(2\pi c) = 0 \\\\ \implies 2\pi c = n\pi \implies c = \dfrac n2\)

where \(n\) is any integer. There are 3 solutions in the interval (0, 2),

\(\boxed{c = \dfrac12, c = 1, c = \dfrac32}\)

(Pictured is the situation with \(c=\frac12\))

The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

Learn more about area here : brainly.com/question/2607596

#SPJ1

The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = \((4^{1.25} )^d\)

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

Learn more about Equations here :

https://brainly.com/question/22960530

#SPJ1

Answer:

Explanation:

Statement: Triangle QRT and Triangle STR are Isosceles Triangles.

Angles QRT is congruent to Angle STR.

Reason: Converse of Alternate Interior Angles

Statement: RQ=RT, TR=TS

Reason: Definition of an Isosceles Triangle

Statement: TR = RT

Reason: Reflexive Property

Statement: RQ=TS

Reason: Transitive Property

Statement: RQ||TS

Reason: Opposite sides are congruent and parallel.

Statement: QRST is a parallelogram.

Reason:

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer: The answer is 15

HOPE THIS HELPS AND HAVE A VERY GOOD DAY

Answer:

no solution

Step-by-step explanation:

Answer:

no because natural numbers are positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well. not variables

\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Answer:

C

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)

The denominator cannot equal 0, so:

\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)

Answer:D

Hani sells postcards for $3 each. Accounting for fixed costs, he sold 7 postcards for a net profit of $1. Write an equation in point-slope form that represents this relationship?

y is the cards 7 is the nuber of cards 3 is how much each (x+1) 1 is net profit x=y

Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

To know more about standard deviation,

https://brainly.com/question/23907081

#SPJ1

From the given proof below, we have been able to show that quadrilateral ABCD is a Trapezoid.

A trapezoid is also called a trapezium and it is characterized by four straight sides and one set of parallel sides. The parallel sides are referred to as the base, while the non-parallel sides are referred to as the legs.

We are told that;

O is the point of intersection for the diagonals of quadrilateral ABCD;

where;

AO/BO = CO/DO

This can also be expressed as;

AO/CO = BO/DO

Thus, if we create line OE to be parallel to DC which is OE || DC. Then it means that point E lies on BC.

Using the Basic Proportionality Theory, in ΔBDC, we can say that;

BO/OD = BE/EC ............................1

We are also given that:

AO/CO = BO/DO   ..........................2

Thus, from Equations 1 and 2, we have;

AO/CO = BE/EC

Using the converse form of the Basic Proportionality Theorem, we have;

OE || AB

Therefore, AB || OE || DC.

Therefore we can conclude that ABCD is a Trapezoid.

Read more about Trapezoids at; https://brainly.com/question/16725694

#SPJ1

Answer:

b= 20 • c

b is equalled to how many bottles, which c is equalled to how many cases, since there is no number for how many cases then is just the variable "c".

The equation representing the number of bottles is c = 20b

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, Madison ordered c cases of the bottle with each case having 20 bottles,

So, for c cases she will have 20b bottles.

The equation is :-

c = 20b

Here,

c is dependent variable

b is independent variable

Hence, the equation representing the number of bottles is c = 20b

Learn more about equations, click;

https://brainly.com/question/29538993

#SPJ2

Answer:

y = 5x + (anything except negative 10)

For example:

y = 5x + 5

Step-by-step explanation:

A parallel equation is any equation with the same slope, but a different y intercept. As long as your y intercept isn't - 10, your answer will be parallel.

Answer:

\(r=1.05\ \text{ft}\)

\(h=2.12\ \text{ft}\)

\(20.91\ \text{ft}^3\)

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = \(7.35\ \text{ft}^3\)

\(V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}\)

Surface area is given by

\(A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}\)

Differentiating with respect to radius we get

\(\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}\)

Equating with zero we get

\(0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05\)

\(\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0\)

So, the value of the function is minimum at \(r=1.05\)

\(h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12\)

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

\(A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3\)

The minimum surface area is \(20.91\ \text{ft}^3\).

Round

8724 to the nearest whole number is 8720