Phone chargers in a store are priced $19, $18, $15, $17, $19, $12, $19, and $15.

What display would best show the measures of variation?
(ignore my answer. i didn't mean to click)

Answer:

11/20

Step-by-step explanation:

1/4= 10/40

3/5=24/40

3/10=12/40

10/40+24/40= 34/40

34/40 - 12/40= 22/40

simplifies to 11/20

The derivatives of y=[tex]2x^{3}+5x^{2} +4x-9[/tex] is [tex]6x^{2} +10x+4[/tex], derivative of y=[tex]2x^{2} +3x+5[/tex] is 4x+3, derivative of [tex](5x^{2} -9)6[/tex] is 60x.

Given three functions y= [tex]2x^{3}+5x^{2} +4x-9[/tex], y=[tex]2x^{2} +3x+5[/tex], y=[tex](5x^{2} -9)6[/tex].

We have to find the derivative of functions.

Derivative of a function of a real variablemearsures the sensitivity to change of the function value with respect to a chaneg in its argument. Derivatives are a fundamental tool of calculas.

First function: y=[tex]2x^{3}+5x^{2} +4x-9[/tex], derivative can be as under:

dy/dx=2*3[tex]x^{2}[/tex]+2*5x+4             (derivative of x is 1)

(d[tex]x^{n}[/tex]/dx=n[tex]x^{n-1}[/tex])

dy/dx=6[tex]x^{2}[/tex]+10x+4

Second function: y=[tex]2x^{2} +3x+5[/tex], derivative can be as under:

dy/dx=2*2x+3

=4x+3

Third function:y=[tex](5x^{2} -9)6[/tex]

dy/dx=5*2x*6

=10x*6

=60x

Hence the derivative of first function is [tex]6x^{2} +10x+4[/tex], second function is 4x+3, third function is 60x.

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pi/5.

Think of a clock as a circle. The minute hand when it moves around the clock will have traveled 360 degrees or 2*pi radians, traveling 2*pi radians in 60 minutes. So3 minutes out of 60 minutes is 1/10.  So the minute hand travels 1/10 of 2*pi radians (multiply 1/10 and 2*pi to get your answer).

Therefore your answer is pi/5 which is the letter a.

Well, a Radian, simply put, is a unit of measure for angles that is based on the radius of a circle. What this means is that if we imagine taking the length of the radius and wrapping it around a circle, the angle that is formed at the center of the circle by this arc is equal to 1 Radian.

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Answer:

Step-by-step explanation:

Write it out in expanded form and you will see why Connor is correct.

3^5 means 3x3x3x3x3

6^8 means 6x6x6x6x6x6x6x6

3^9 means 3x3x3x3x3x3x3x3x3

6^10 means 6x6x6x6x6x6x6x6x6x6

These numbers are all multiplied together, so how many of each number do we have?

3x3x3x3x3x6x6x6x6x6x6x6x6x3x3x3x3x3x3x3x3x3x6x6x6x6x6x6x6x6x6x6

3^14 6^18

Slope 2 and y intercept is 10

The question seems to be incomplete and complete and the complete question is shown in the image

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases.

When x = 0, the corresponding y-value is the y-intercept. In the particular context of word problems, the y-intercept (that is, the point when x = 0) also refers to the starting value.

Y-intercept is the point  at which the line intersects the y axis- meaning x = 0

From the table y = -20 when x= 0

y-intercept: -20

To find the slope

m = ΔY/ΔX

m = -20+10/0-5 = 2

Hence the slope is 2 and y intercept is 10

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Probability that a freshman selected at random who took the course and did not get lost and Probability of freshmen who took course at MSU in outdoor survival skills is 0.8333

According to the question,

Probability of freshmen who took course at MSU in outdoor survival skills is 0.6.

Probability that a freshmen selected at random who did not get lost during a hike is 0.9.

Probability that a freshman selected at random who took the course and did not get lost is 0.50

Conditional probability = P(A and B)/ P(A)

P(did not get lost/took the course) = P( freshmen did not get lost who took the course and freshmen took the course)/P(freshmen did not get lost)

= 0.5/0.6

= 0.8333

Hence, Probability that a freshman selected at random who took the course and did not get lost and Probability of freshmen who took course at MSU in outdoor survival skills is 0.8333

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Answer:

50 minutes

Step-by-step explanation:

3:20 pm - 4:50 = 90 minutes

90 = 2a + 15 + a

90-15= 75

75= 2a + a

75 = 3a

75/3 = 25

25 x 2 = 50 minutes

Answer:

Step-by-step explanation:

Answer:

[tex]G(x) = 6-x^{4}[/tex]

Step-by-step explanation:

The red graph is the blue graph translated up 3 units, so the answer is [tex]G(x) = 6-x^{4}[/tex].

The correct option for the inequality is

Week 4 = Week 5. Option B. This is further explained below.

Generally,  the relationship between two expressions that do not have the same value is denoted by a sign such as, which means "not equal to," >, which means "greater than," or, which means "less than."

In conclusion, When converted to decimal form, Week 5's score comes out to -1.8, which is the same as Week 4's score.

Week 4 = Week 5

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Answer:

The Answer Is B

Step-by-step explanation:

Week 4 = Week 5

Answer:

n = 2.6

Step-by-step explanation:

Hello!

We can create an equation with equivalent fractions. Remember that a ratio can also be represented as a fraction.

We can create two fractions that are equivalent to each other given the ratios.

The value of n is 2.6.

1. The semi inter quartile range is 10

2. The coefficient of quartile deviation is 0.2

1st quartile (Q₁) = (134 + 1) / 4 = 33.75th = 40

3rd quartile (Q₃) = 3 (134 + 1) / 4 = 3 × 33.75 = 101.25th = 60

Semi inter quartile range = (Q₃ - Q₁) / 2

Semi inter quartile range = (60 - 40) / 2

Semi inter quartile range = 10

Coefficient of quartile deviation = (Q₃ - Q₁) / (Q₃ + Q₁)

Coefficient of quartile deviation = (60 - 40) / (60 + 40)

Coefficient of quartile deviation = 0.2

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Domain of the function is [tex]0\leq b\leq 10[/tex] and range of the function is [tex]0\leq W\leq 120[/tex].

The range of values that we are permitted to enter into our function is known as the domain of a function.

A function's range is the collection of values it can take as input.

Each birdhouse uses 12 square feet of wood. Owen has enough to build 10 birdhouses, so he has 120 square feet of wood.

The function has an input of the number of birdhouses, b, and W as an output of the amount of wood needed. b is domain, and W is the range. The domain is 0 to 10 and range is 0 to 120.

Therefore, the domain of the function is  [tex]0\leq b\leq 10[/tex] and the range of the function is [tex]0\leq W\leq 120[/tex].

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You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point.

The "slope formula" for a straight line connecting any two locations is another name for the rise over run formula. The rise is the difference between the y-coordinates of the two locations. The run is the difference between the x-coordinates of two locations. Divide the rise by the run to find the slope.

The rise over run formula is also known as the slope formula because the fraction consists of a rise, whether the line is moving up or down, divided by the run, which can be either left or right. The slope of the line dictates the direction of the line as well as its steepness.

Thus, "You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point".

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The root of the polynomial function x^3 - 2x^2 + 5x - 6 = -4x^2 + 14x + 12 is -3, -2 and 3

The graph that completes the question is added as an attachment

The polynomial function is given as:

x^3 - 2x^2 + 5x - 6 = -4x^2 + 14x + 12

From the attached graph, we have the following highlight:

The curves of both equations intersect at

x = -3, x = -2 and x = 3

This means that the root of the polynomial function is -3, -2 and 3

Hence, the root of the polynomial function x^3 - 2x^2 + 5x - 6 = -4x^2 + 14x + 12 is -3, -2 and 3

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Complete question

Carlos graphed the system of equations that can be used to solve x^3 - 2x^2 + 5x - 6 = -4x^2 + 14x + 12

What are the roots of the polynomial equation?

A) –3, –2, 3

B) –3, 2

C) 18, 32

D) 18, 32, 66

Answer:

y = 5x + 2

Step-by-step explanation:

Standard form of Equation of line: y = mx + c

where m = slope or gradient,

c = y-intercept

From the question we know that:

x = - 1

y = - 3

m = 5

We will substitute these values into the equation to find c.

- 3 = (5)(- 1) + c

- 3 = - 5 + c

c = - 3 + 5 = 2

Therefore the equation of this line is: y = 5x + 2

a. See attachment for the labelled diagram

b. Using the sine ratio, distance from the hot air to pond A is 5,038.9 m, while distance from the hot air to pond B is 6,287.1 m.

c. Distance between the two ponds is 1,263.5 m.

Sine ratio, is: sin ∅ = opposite side/hypotenuse length

Tangent ratio is: tan ∅ = opposite side/adjacent length.

a. The diagram with the appropriate labels is shown in the image attached below.

b. Use the sine ratio to find the distance from the hot air to pond A (CA) and to pond B (CB):

CA = hypotenuse

∅ = 10°

Opposite = 875 m

sin 10 = 875/CA

CA = 875/sin 10

CA ≈ 5,038.9 m (distance from the hot air to pond A)

CB = hypotenuse

∅ = 8°

Opposite = 875 m

sin 8 = 875/CB

CB = 875/sin 8

CB ≈ 6,287.1 m (distance from the hot air to pond B)

c. Distance between the two ponds, BA = BD + DA.

Apply the tangent ratio to find BD and DA

tan 8 = 875/BD

BD = 875/tan 8

BD = 6,225.9 m

tan 10 = 875/DA

DA = 875/tan 10

DA = 4,962.4 m

Distance between the two ponds = 6,225.9 - 4,962.4 = 1,263.5 m.

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The amplitude, Period, Horizontal Shift and Vertical Shift of both graphs are as detailed below.

3)a. Amplitude is the distance between the center line and the positive or negative peak of the graph. Thus, the amplitude is 0.5.

b. The period is the time it takes for the graph to repeat or complete one cycle and in this graph, it is 3.

c. Looking at the graph, ideally the coordinate (3, -1.5) should have been on the y-axis which is at (0, -1.5). This means it was shifted by 3 units to the right side.

d. The positive peak should be equal to the negative peak but in this case, it is not so and as such the center should be on the x-axis which means that the graph was shifted down vertically by 2 units.

4) a. Amplitude is the distance between the center line and the positive or negative peak of the graph. Thus, the amplitude is 3 - 1 = 2

b. The period is the time it takes for the graph to repeat or complete one cycle and in this graph, it is 6.

c. Looking at the graph, ideally the coordinate (4, -1) should have been on the y-axis which is at (0, -1). This means it was shifted by 4 units to the right side.

d. The positive peak should be equal to the negative peak but in this case, it is not so and as such the center should be on the x-axis which means that the graph was shifted up vertically by 1 unit.

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The equation of the function d(t) is d(t) = -2sin(π/2 t) + 5

The function is given as:

d(t) = a * sin(b * t) + d

The bob is 5 cm away from the wall implies that the vertical shift is 5.

This means that

d = 5

So, we have

d(t) = a * sin(b * t) + 5

The bob reaches the closest point to the wall, which is 3 cm from the wall.

So, the amplitude is

A = 3 - 5

Evaluate

A= -2

So, we have:

d(t) = -2 * sin(b * t) + 5

The period is calculated as:

B = 2π/t

Where

t = (5 + 3)/2

This gives

t = 4

Substitute t = 4 in B = 2π/t

B = 2π/4

Evaluate

B = π/2

So, we have:

d(t) = -2sin(π/2 t) + 5

Hence, the equation of the function d(t) is d(t) = -2sin(π/2 t) + 5

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By applying the basic proportionality theorem (BPT), the length of side SQ is equal to 5 cm.

In order to determine the length of side SQ, we would apply basic proportionality theorem (BPT) as follows:

Since PQ ǁ RS, PT = 16

PT/RP = QT/SQ

16/4 = 20/SQ

Cross-multiplying, we have:

16SQ = 20 × 4

SQ = 80/16

SQ = 5 cm.

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Complete Question:

In the figure, PQ is parallel to RS. The length of RP is 4 cm; the length of PT is 16 cm; the length of QT is 20 cm. What is the length of SQ?

Answer:

The degree of polynomial is 5.

Step-by-step explanation:

I suppose the polynomial is [tex]\displaystyle{5x^2+8x^3+4-6x^2-3x^5}[/tex]. To find the which degree this polynomial is, we consider the highest exponent of the term which is [tex]\displaystyle{3x^5}[/tex], the 5 is our highest degree of the term and thus, 5 is our highest degree of polynomial.

Answer:

5

Step-by-step explanation:

I'm assuming that the 5 in "3x5​" is supposed to be a exponent. The degree of the polynomial is the greatest of the exponents (powers) of its various terms.

Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input for an exponential growth function.

Verification of Choice

Let us consider the following exponential growth function.

y = Aeˣ ...........................(1)

This equation changes when it is reflected across the y axis and becomes,

y = Ae⁻ˣ ...........................(2)

Here, the set of all x values for which y is defined is known as the domain of this exponential growth function.

Therefore, the domain of exponential growth function 1 is the set of all real numbers, given by, x ∈ [-∞,∞]

The domain of function 2, which is a reflection of function 1, will also consist entirely of real numbers and will be given by x ∈ [-∞,∞ ]

Therefore, between Alissa and himself, Simon is right when he asserts that even if an exponential growth function is reflected across the y-axis, the domain will still consist only of real values.

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The number of lines that the points can make is; 21 lines

We are given that;

- There are 7 points on a Plane

- No 3 points on the plane are on the same line

Thus;

No 3 points are collinear and as such the number of lines that the points can make is found from the combination  formula;

C(7,2);

C(7,2) = 7!/(7 - 2)!*2!

= (7 × 6)/(2 × 1)

= 42/2

=21

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Answer:

y=-2x+3

Step-by-step explanation:

Use the slope formula

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

According to the table, x=1 and y=1. There is another point x=2 and y=-1.

We can say that [tex]x_{1}=1[/tex] and [tex]y_{1} =1[/tex]. We can also say that [tex]x_{2}=2[/tex] and [tex]y_{2}=-1[/tex]. Plugging this into the equation we get:

[tex]m=\frac{-1-1}{2-1}=-2[/tex].

This means that the slope of your equation is -1/2

Point intercept form is y=mx+b

So plugging the slope in we have [tex]y=2x+b[/tex]

We can plug in one of the values from the value table for x and y, but to keep things simple, I’m going to just use x=1, and y=1, the first values on the table. Plugging these into the equation we get:

[tex]1=-2(1)+b\\ 1=-2 +b\\b=1+2 \\b=3[/tex]

So our equation is [tex]y=-2x+3[/tex]

Answer:

x = 3

Step-by-step explanation:

Please refer to the attached photo. (Apologies for the terrible drawing.)

Since we know triangles ABC and DEC are similar, we can use the ratio method to find x.

[tex] \frac{ec}{bc} = \frac{ed}{ba} \\ \frac{25}{5} = \frac{18 - x}{x} \\ \frac{18 - x}{x} = 5 \\ 18 - x = 5x \\ 18 = 5x + x \\ 6x = 18 \\ x = \frac{18}{6} \\ = 3[/tex]

Yes

See

3 contractors took 8hours

4 contractors took 6hours

We observe

So it's inverse variation

Answer:

[tex]\fbox {Yes}[/tex]

Step-by-step explanation:

An inverse variation can be seen when two factors are compared, if one factor is seen to be increasing, then naturally the factor should be decreasing.

Here, as the number of contractors increase, the time taken to complete the work decreases.

∴ Hence, this represents an inverse variation.

Answer:

3, 7, 14

Step-by-step explanation:

small brain

Answer:

10 units and 157.84 units

Step-by-step explanation:

4

substitute t = 1 into the equation

h = - 16(1)² + 6 = - 16 + 6 = - 10

the value is negative since the ball travels down

the ball has travelled 10 units after 1 second

5

substitute t = 3.2 into the equation

h = - 16(3.2)² + 6 = - 16(10.24) + 6 = - 163.84 + 6 = - 157.84

the well is 157.84 units deep