Copy the axes below.
a) By completing the tables of values to help
you, plot the lines y = 2x + 1 and
y = 10x on your axes.
b) Use your diagram to find the solution to the
simultaneous equations y = 2x + 1 and
y = 10 - x.
y = 2x+1
x012
Y
y = 10-x
x012
Y
Y
-3 -2 -1
10
2987
65
6
-5
4
3
NW
21
1
-14
--2
73
1 2 3 4 5 6 7 8 9 10 x

Answers

Answer 1

The solution to the simultaneous equations is x = 3 and y = 7

Finding the solution to the simultaneous equations

From the question, we have the following parameters that can be used in our computation:

y = 2x + 1

y = 10 - x

Subtract the equations

So, we have

3x - 9 = 0

This gives

3x = 9

So, we have

x = 3

Next, we have

y = 10 - x

y = 10 - 3

Evaluate

y = 7

Hence, the solution is x = 3 and y = 7

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Related Questions

In circle M below, diameter AC, chords AB and BC, and radius MB
are drawn.

Which statement is not true?
(1) AABC is a right triangle. (3) mBC = m/BMC
(2) AABM is isosceles.
(4) mAB = mLACB

Answers

The statement which is not true include the following: (2) AABM is isosceles.

What is an isosceles triangle?

In Mathematics and Geometry, an isosceles triangle simply refers to a type of triangle with two (2) sides that are equal in length and two (2) equal angles.

By critically observing circle M shown above, we can reasonably infer and logically deduce the following true statements:

ΔABC is a right triangle.

BM = MC (radius of circle M).

mBC = m∠BMC

mAB = 1/2m∠ACB (intersecting secant theorem).

In this context, we can logically conclude that triangle ABM does not represent an isosceles triangle because it does not have two (2) sides that are equal in length.

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What is the area of the shaded region?

Answers

Step-by-step explanation:

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon

Question 23 of 41
What is the name of the Platonic solid shown below?

A. Octahedron
B. Dodecahedron
C. Hexahedron
D. Icosahedron

Answers

Answer:

That Platonic solid is a dodecahedron.

B is the correct answer.

find the ratio for cos

Answers

The value of cos E in the triangle is √2/2

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. Trigonometric ratio is only applied in right triangles.

Some of the trigonometric functions are ;

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

In the triangle taking reference from angle E, 5 is the opposite and 5 is the adjascent and 5√2 is the hypotenuse.

Therefore;

cos E = 5/5√2

cos E = 1/√2

rationalizing the value;

cos E = √2/2

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2.
Harry pours 650 cubic centimeters of water into cylindrical glass with a diameter of 10
centimeters. He then pours the water from the first glass to another cylindrical glass with a
diameter of 8 cm. How much higher did the water reach in the second glass than in the first
glass? Round to the nearest tenth of a centimeter.
agures of the

Answers

Answer:

113.1 is the answer. I used the arbitory height of 4 so the volume of both are now 314.16 and 201.06

314.16-201.06=113.1

Please help urgent thank you I am so confused

Answers

The speed of the boat in water without a current is 15 miles per hour

Calculating the speed of the boat in water without a current?

From the question, we have the following parameters that can be used in our computation:

Current of river = 4 miles per hour

Distance travelled = 209 miles

Time = 30 hours.

Represent the speed with x

So, we have

Upstream = x - 4Downstream = x + 4

Next, we have

Time = Speed/Distance

So, we have

209/(x - 4) + 209/(x + 4) = 30

When evaluated, we have

x = 15

Hence, the speed is 15 miles per hour

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What’s the temperature change in 120 to -20

Answers

Answer: 140

Step-by-step explanation: 120-(-20) to 120 + 20 goes to 140.

The temperature change, assuming both are in the same units, would be 120 - (-20), which is 120 + 20 which is 140. So the overall temperature change would be 140.

Para tener una sucesión es imprescindible que los números que lo forman :
A: sean infinitos
B: tengan una ley de formación C:estén ordenados

Answers

For a collection of numbers to be considered a sequence, it is essential that they have a law of formation, are ordered in a specific manner, and can be either finite or infinite.

B: They have a law of formation:

A sequence is a set of numbers arranged in a specific order according to a rule or pattern. The numbers in a sequence are not random but follow a specific law of formation.

This law can be a mathematical formula, a recursive relationship, or any other systematic pattern that determines the values of the sequence. Without a well-defined law of formation, a collection of numbers cannot be considered a sequence.

C: They are ordered:

In a sequence, the numbers are arranged in a specific order or sequence. The order of the numbers is crucial and defines the pattern and structure of the sequence.

Each number in the sequence has a unique position or index that determines its place in the sequence. The order of the numbers allows us to identify the next number or predict the pattern of the sequence. Without the concept of order, the numbers would simply be a set of unrelated elements and not a sequence.

A: They may or may not be infinite:

Sequences can be finite or infinite. A finite sequence has a specific number of terms, and once the pattern or rule is established, the sequence ends.

On the other hand, an infinite sequence continues indefinitely, and its terms extend infinitely in one direction or both directions. Whether a sequence is finite or infinite depends on the context and the specific rule or pattern that governs its formation.

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Note: the translated question is:

To have a sequence it is essential that the numbers that form it:

A: be infinite

B: they have a law of formation C: they are ordered

The crew from Disneyland Entertainment launches fireworks at an angle. The height of the firework can be modeled by h(t) = -2t^2+ 8t + 300 where height, h, is measured in feet and the
time, t, in seconds. What is the greatest height the fireworks reach?

Answers

Answer:

The function given here is a quadratic function of the form f(t) = at^2 + bt + c, where a is -2, b is 8, and c is 300. The maximum value of a quadratic function occurs at its vertex. For a function in the form f(t) = at^2 + bt + c, the t-coordinate of the vertex is given by -b/(2a). We can use this to find the time at which the firework reaches its maximum height.

Given a = -2 and b = 8, we can calculate t = -b/(2a):

t = -8/(2*-2) = 2

We can then substitute this value back into the height equation to find the maximum height:

h(2) = -2(2)^2 + 8*2 + 300

h(2) = -8 + 16 + 300

h(2) = 308

So, the greatest height the fireworks reach is 308 feet.

B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A​

Answers

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Find the probability that a randomly
selected point within the circle falls in the
red-shaded triangle.
12
12
P = [?]
Enter as a decimal rounded to the nearest hundredth.

Answers

Step-by-step explanation:

a probability is always the ratio of

desired cases / totally possible cases.

so, in this case it is the

area of the triangle / area of the circle.

as everything of the triangle is also a part of the circle.

and so, that fraction of the area of the whole circle that is the area of the triangle in refutation to the area of the whole circle is the probability that a random point inside the circle would be also inside the triangle.

the area of a right-angled triangle is

leg1 × leg2 / 2

in our case

12 × 12 / 2 = 72 units²

the area of a circle is

pi × r²

in our case that is

pi × 12² = 144pi units²

the requested probability is

P = 72 / 144pi = 1/2pi = 0.159154943... ≈ 0.16

Find the net area of the following curve on the interval [0, 2].
(SHOW WORK)
f(x) = ex - e

Answers

The net area of the curve represented by f(x) = ex - e on the interval [0, 2] is e2 - 1.

To find the net area of the curve represented by the function f(x) = ex - e on the interval [0, 2], we need to calculate the definite integral of the function over that interval. The net area can be determined by taking the absolute value of the integral.

The integral of f(x) = ex - e with respect to x can be computed as follows:

∫[0, 2] (ex - e) dx

Using the power rule of integration, the antiderivative of ex is ex, and the antiderivative of e is ex. Thus, the integral becomes:

∫[0, 2] (ex - e) dx = ∫[0, 2] ex dx - ∫[0, 2] e dx

Integrating each term separately:

= [ex] evaluated from 0 to 2 - [ex] evaluated from 0 to 2

= (e2 - e0) - (e0 - e0)

= e2 - 1

The net area of the curve represented by f(x) = ex - e on the interval [0, 2] is e2 - 1.

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How many cubic centimeter blocks are in the bottom layer of the prism shown below? A rectangular prism with length of 3 centimeters, height of 5 centimeters, and width of 4 centimeters. 3 4 7 12

Answers

Answer:

There are 12 blocks in the bottom layer

Step-by-step explanation:

We see from the diagram that in the bottom layer,

length = 3 cm

width = 4 cm

And that there are 3 blocks for the 3 cm length,

Hence each block has a length of 1 cm (the 3 then make up 3 cm)

And there are 4 blocks for the 4 cm width

Hence the width is also 1 cm (4 of these make up 4 cm width)

Now, to find the total number of blocks,

we just multiply the length and width,

so, (3)(4) = 12

so there are 12 blocks in the bottom layer

Help lol please now please help please Please

Answers

Answer:

Step-by-step explanation:

The correct domain for the function y = √x is 0 ≤ x < ∞. The square root function is defined for non-negative real numbers, so x must be greater than or equal to 0 (0 ≤ x) to have a real value for the square root. The domain does not include negative values since the square root of a negative number is not a real number. The notation 0 ≤ x < ∞ represents all values of x that are greater than or equal to 0 and less than positive infinity.

Sin(theta)=2/3 and theta is in quadrant II, find cos theta

Answers

Answer:  Choice C.   [tex]\displaystyle \boldsymbol{-\frac{\sqrt{5}}{3}}[/tex]

===================================================

Work Shown:

Part 1

[tex]\sin^2(\theta)+\cos^2(\theta) = 1\\\\\cos^2(\theta) = 1-\sin^2(\theta)\\\\\cos(\theta) = -\sqrt{1-\sin^2(\theta)} \ \ \text{ ..... cosine is negative in Q2}\\\\\cos(\theta) = -\sqrt{1-\left(\frac{2}{3}\right)^2}\\\\\\cos(\theta) = -\sqrt{1-\frac{4}{9}}\\\\[/tex]

Part 2

[tex]\cos(\theta) = -\sqrt{\frac{9}{9}-\frac{4}{9}}\\\\\cos(\theta) = -\sqrt{\frac{9-4}{9}}\\\\\cos(\theta) = -\sqrt{\frac{5}{9}}\\\\\cos(\theta) = -\frac{\sqrt{5}}{\sqrt{9}}\\\\\cos(\theta) = -\frac{\sqrt{5}}{3}\\\\[/tex]

My dance lesson starts at 11:40 am. It always 1 your and 10 minutes what time does it end?

Answers

Answer:

Step-by-step explanation:

This may be wrong but hear me out, 40+10 is 50 and 11+1 is 12, so 12:50?

What is the units digit of 2013 to the power
2013?

Answers

Step-by-step explanation:

a number consists of digits in the place of certain values of the powers of 10.

2013 consists of a digit 2 in the thousands units position.

of a digit 0 in the hundreds units position.

of a digit 1 in the tens units position.

and of a digit 3 in the (single) units position.

so, to which power do we need to have this 3 ?

I think you made a mistake there. you say we need it to the power of 2013 ?

3²⁰¹³ = 2.786671338...e960 =

= 2.786671338... × 10⁹⁶⁰

need help with tshdjkdkdndndndndkd

Answers

The length of this line segment is: B. 2√13 units.

How to determine the distance between the coordinates for each points?

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(4 + 2)² + (1 + 3)²]

Distance = √[(6)² + (4)²]

Distance = √[36 + 16]

Distance = √52

Distance = 2√13 units.

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Lashonda is on a game show. She will choose a box to see if she wins a prize. The odds in favor of Lashonda winning a prize are 9/2
. Find the probability of Lashonda winning a prize.

Answers

The probability of Lashonda winning a prize is 9/11.

To find the probability of Lashonda winning a prize, we can use the odds given. The odds in favor of Lashonda winning a prize are expressed as 9/2.

Odds are typically represented as a ratio of favorable outcomes to unfavorable outcomes.

In this case, the favorable outcomes are Lashonda winning a prize, and the unfavorable outcomes are Lashonda not winning a prize.

The odds in favor of Lashonda winning a prize can be written as 9:2, where 9 represents the favorable outcomes and 2 represents the unfavorable outcomes.

To calculate the probability, we add the favorable and unfavorable outcomes to get the total number of possible outcomes.

In this case, the total number of outcomes is 9 + 2 = 11.

The probability of Lashonda winning a prize can be calculated as the ratio of the favorable outcomes to the total number of outcomes:

Probability = Favorable outcomes / Total outcomes

Probability = 9 / 11.

Therefore, the probability of Lashonda winning a prize is 9/11.

In conclusion, based on the given odds in favor of Lashonda winning a prize being 9/2, the probability of Lashonda winning a prize is 9/11.

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Which of these relations are functions?
y = 5
x = -2
y=2x-5
2y=x-4

Answers

The answer is 2y=x-4

Answer:

True

EXPLANATIONDETAIL STEPS:

(A)Determine whether y = 5 is a function: Click for video explanations: True

(B)Determine whether x = -2 is a function: Click for video explanations: False

(7)Determine whether y = 2x-5 is a function: Click for video explanations: True

(D)Determine whether 2y = x-4 is a function: Click for video explanations: True

(A)Determine whether

=

is a function: Click for video explanations: True

(B)Determine whether

=

is a function: Click for video explanations: False

(7)Determine whether

=

is a function: Click for video explanations: True

(D)Determine whether

=

is a function: Click for video explanations: True

triangle PQR was rotated and then dilated by a scale factor of 9 to create P”Q”R”. Which statement explains why triangle PQR is similar to triangle P”Q”R”?

Answers

Triangle PQR is similar to triangle P”Q”R” because the rotation and dilation transformations preserve the shape and angles of the original triangle.

The rotation simply changes the orientation of the triangle, but the angles and side lengths remain the same. The dilation scales all the side lengths by a factor of 9, which preserves the ratios of the side lengths and the angles of the original triangle.

Since similarity of two triangles is defined as the correspondence between the angles of one triangle to the angles of another triangle, and the ratio of the lengths of the corresponding sides is constant, PQR is similar to P”Q”R” because the angles of PQR and P”Q”R” are congruent, and the ratio of the lengths of the corresponding sides is the same. This means that PQR and P”Q”R” have the same shape and are therefore similar.

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find the value x, round the lengths of segments to nearest tenth and the measure of angles to the nearest degree

Answers

Answer:

Step-by-step explanation:

39 !!!!!

Percents - Modeling Uncategorized Problems
The Nature of Mathematics: page 312 # 1-5, 29, 31, 35, 47 and 54; page 319-320 # 4, 9, 23
In Problems 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, and 21, change the
given form into the two missing forms.
Textbook-
1. Fraction
3. Fraction
5. Fraction
1/3
Write each ront
Decimal
0.75
Decimal
Decimal
Percent
Percent
40%
Percent
2.
Fraction
4. Fraction
Decimal
Decimal
Percent
0.02
Percent
100%

Answers

Answer:

Step-by-step explanation:

Converting between Fraction, Decimal, and Percent:

Fraction to Decimal: Divide the numerator by the denominator. The result is the decimal form.

Example: 1/4 = 1 ÷ 4 = 0.25

Decimal to Fraction: Write the decimal as a fraction by placing the decimal value over the appropriate power of 10.

Example: 0.75 = 75/100 = 3/4

Fraction to Percent: Divide the numerator by the denominator and multiply by 100.

Example: 1/3 = (1 ÷ 3) × 100 = 33.33...%

Percent to Fraction: Write the percent as a fraction with a denominator of 100 and simplify if necessary.

Example: 40% = 40/100 = 2/5

Decimal to Percent: Multiply the decimal by 100 and add the percent symbol (%).

Example: 0.75 = 0.75 × 100 = 75%

Percent to Decimal: Divide the percent by 100.

Example: 40% = 40 ÷ 100 = 0.4

HURRY PLEASEEE
A cylinder has a volume of 400 feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for π and a round to the nearest hundredth. radius ≈ type your answer… ft

Answers

Answer:

the radius of the cylinder is approximately 2.26 feet.

Step-by-step explanation:

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

Given that the volume is 400 feet, the height is 25 feet, and using π ≈ 3.14, we can rearrange the formula to solve for the radius:

400 = 3.14 * radius^2 * 25

Divide both sides of the equation by (3.14 * 25):

400 / (3.14 * 25) = radius^2

Simplifying:

400 / 78.5 ≈ radius^2

5.09 ≈ radius^2

To find the radius, we take the square root of both sides:

√5.09 ≈ √(radius^2)

2.26 ≈ radius

Rounding to the nearest hundredth, the radius of the cylinder is approximately 2.26 feet.

Answer:

Step-by-step explanation:

Volume Formula for a cylinder is  V=πr²h

Substitute the following:    400 = 3.14(r²)(25)

r=[tex]\sqrt{\frac{V}{\pi h} }[/tex]

r=[tex]\sqrt{\frac{400}{\pi 25} }[/tex]

r≈2.25676ft

Evaluate leaving your answer in a standard form 0.0048*0.81 /0.027*0.04

Answers


Answer:

= 3.6

Step-by-step explanation:

To evaluate the expression (0.0048 * 0.81) / (0.027 * 0.04), let's perform the calculations step by step:

Step 1: Multiply the numbers in the numerator:
0.0048 * 0.81 = 0.003888

Step 2: Multiply the numbers in the denominator:
0.027 * 0.04 = 0.00108

Step 3: Divide the result in the numerator by the result in the denominator:
0.003888 / 0.00108 = 3.6

Therefore, the evaluated value of the expression (0.0048 * 0.81) / (0.027 * 0.04) is 3.6 in standard form.

need help to understand

Answers

Answer:

C

Step-by-step explanation:

x ≥ 25

Because this inequality has an equal sign, it will be a close circle. x ≥ -25 meaning the x go to the right of -25.

So, the answer is C

QUESTION 3: Given: f(x)=1/x-1 -2 3.1 Write down the equation(s) of the asymptote(s) of f. 3.2 Determine the x-intercept of f. ​

Answers

Given the function `f(x)=1/x-1 -2` the task is to write the equation of the asymptote(s) of f and determine the x-intercept of f. Asymptotes are lines that the curve of a function approaches but never touches. There are two types of asymptotes: vertical and horizontal.

Vertical Asymptote Vertical asymptotes occur when a function approaches infinity or negative infinity at a specific value of x. This can occur in a rational function where there is a division by zero.

A vertical asymptote is found when the denominator of the rational function becomes zero. Since division by zero is undefined, it means that the rational function approaches infinity or negative infinity.

The equation of the vertical asymptote is x = a where a is the value that makes the denominator zero.

Horizontal AsymptoteA horizontal asymptote occurs when a function approaches a constant value (y) as x approaches infinity or negative infinity. A horizontal asymptote occurs when the degree of the numerator and denominator is the same.

The horizontal asymptote is found by comparing the degrees of the numerator and denominator and dividing the leading coefficient of the numerator by the leading coefficient of the denominator.3.1 Equation of the asymptotes of the equation of the vertical asymptote is x=1.

The degree of the numerator is less than the degree of the denominator. Therefore, the horizontal asymptote is y=0The equation of the horizontal asymptote is y=0.3.2 X-intercept of fTo find the x-intercept of f, set y=0.f(x) = 0= 1/(x-1) -2Add 2 to both sides2 = 1/(x-1)Take the reciprocal of both sides of the equation.1/2 = (x-1)x-1 = 2x = 3Hence, the x-intercept of the function is (3,0)

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Which of the rays or segments below is a chord of circle O?

A) ->
TC
B)—
SO
C)—>
TU
D)—
FC

Answers

The ray or segment that is a chord is (d) segment FC

How to determine the ray that is a chord

From the question, we have the following parameters that can be used in our computation:

The circle

By definition, a chord is a straight line that joins points of the circle without passing through the center

The ray that has the above properties is ray FC

Hence, the segments that is a chord is (d) FC

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Determine the value of a if f(x) =(ax²-1 if x < 1 a(x² - 2x + 1) ifx>1 is continuous atx = 1. ​

Answers

-1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

To determine the value of "a" for which the function f(x) is continuous at x = 1, we need to check if the left-hand limit and the right-hand limit of f(x) as x approaches 1 are equal, and if the value of f(x) at x = 1 is equal to these limits.

First, let's calculate the left-hand limit of f(x) as x approaches 1. For x < 1, the function is given by f(x) = (ax² - 1). To find the left-hand limit, we substitute x = 1 into this expression:

lim(x→1-) f(x) = lim(x→1-) (ax² - 1) = a(1²) - 1 = a - 1.

Next, let's calculate the right-hand limit of f(x) as x approaches 1. For x > 1, the function is given by f(x) = (a(x² - 2x + 1)). Substituting x = 1 into this expression, we have:

lim(x→1+) f(x) = lim(x→1+) (a(x² - 2x + 1)) = a(1² - 2(1) + 1) = a(1 - 2 + 1) = a.

For the function f(x) to be continuous at x = 1, the left-hand limit and the right-hand limit should be equal. Therefore, we have:

a - 1 = a.

To solve this equation for "a," we subtract "a" from both sides:

-1 = 0.

Since -1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

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Function g is a transformation of the parent tangent function such that g(x) = tan(x-4) + 2 . Which graph represents function g?

Answers

Based on the given transformations, the correct graph that represents function g(x) = tan(x-4) + 2 is option c.

How to determine the graph that represents function g(x) = tan(x-4) + 2

To determine the graph that represents function g(x) = tan(x-4) + 2, we can analyze the transformations applied to the parent tangent function.

The parent tangent function has the form f(x) = tan(x). The given function g(x) = tan(x-4) + 2 introduces two transformations:

1. Horizontal shift: The function is shifted 4 units to the right compared to the parent function f(x) = tan(x). This means the graph of g(x) will be shifted to the right by 4 units.

2. Vertical shift: The function is shifted 2 units up compared to the parent function f(x) = tan(x). This means the graph of g(x) will be shifted upward by 2 units.

Based on the given transformations, the correct graph that represents function g(x) = tan(x-4) + 2 is option c. The graph in option c shows a rightward shift of 4 units (horizontal shift) and an upward shift of 2 units (vertical shift), matching the transformations described for g(x).

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Other Questions
I need 2 poems with each at least 20 lines long about1st poem - love2nd poem - summer timehas to be with its own set of rules/guidelines (EX: ab, adad, adcadc, etc) A mixture of gas contains 3.2 kg of Oxygen, 2.2 kg of Carbon Dioxide and 5.6 kg of Nitrogen. (a) calculate the number of moles of each component. (b) calculate the mass ratio and mole ratio of each component. (c) calculate the molar mass of the gas mixture when the gas mixture is heated from 25 C to 200 C under constant pressure, (d) calculate the change of enthalpy of the gas mixture, given that the C pof O 2is 0.918 kJ/kgK,CO 2is 0.839 kJ/kgK and N 2is 1.040 kJ/kgK. (e) Calculate the change of entropy of the gas mixture given the same C pvalue in (d). "A car races in a circular track of radius r = 126 meters. Whatis the average speed if it completes a lap in 15 seconds? Round tothe nearest tenth. Given the system of equations:4x_1+5x_2+6x_3=8 x_1+2x_2+3x_3 = 2 7x_1+8x_2+9x_3=14.a. Use Gaussian elimination to determine the ranks of the coefficient matrix and the augmented matrix..b. Hence comment on the consistency of the system and the nature of the solutions.c. Find the solution(s) if any. Calculate the BOD loading (lb/day) on a stream if the secondary effluent flow is 2.90MGD and the BOD of the secondary effluent is 25 mg/L? You invested $12,000 at the end of each half-year for 7 years in an investment fund. At the end of year 7, if the balance in the fund was $183,000, what was the nominal interest rate compounded semi-annually? % Round to two decimal places An inductor with an inductance of 2.30 H and a resistance of 7.60 2 is connected to the terminals of a battery with an emf of 6.30 V and negligible internal resistance. Part A Find the initial rate of increase of current in the circuit According to the Decision-Plane model studies that are high cost and low benefit are typically not approved difficult expedited approved A quality oak floor costs $4.95 per square foot. Additionally, acapable installer charges $3.40 per square foot for labor. Find thetotal costs, not including any taxes, to lay the flooring. Question 20 :Which of the following is a major drawback of IRR method: A. IRR calculation does consider time value. B. IRR is used primarily due to its easy concept and could be communicated with non-business people.C. When pairing with NPV method, IRR is still a very good approach for project evaluation.D. IRR method could general multiple results which could hugely confuse decision makers.Question 21: Surveys show that most Canadian firms actually use two or more capital budgeting methods. However, small businesses tend toconcern about their liquidity. True or False Question 22 : Payback period method is easy to calculate and understand and is a good approach for short-life cycle and risky projects.True or False Game TheoryAbel, Brenda and Charlotte are members of a science club at their university. The clubplans to take a trip to a conference with the money obtained from the sale of donuts inthe local market.If the club sells donuts for three weekends, you can make enough to pay for the transportation, the hotel and the entrance to the congress, so the three of them will get 100happiness units.If the club sells donuts for two weekends, you can only pay for transportationand the entrance to the congress, which will provide 70 units of happiness to each member.If the club only sells donuts on a weekend, you can only pay admission to thecongress and will give them a happiness of 25 units. If they don't sell donuts not a single end of week, then no one gets any happiness.Abel will sell donuts the first week, Brenda the second, and Charlotte the third.The market will then close for the winter season. On the scheduled day, eachmember must choose between going to sell donuts or sleeping over.a) Represent this situtation in its extensive form following this order: Abel moves first, Brenda second and at the end Charlotte.b) Use the backward induction algorithm to determine the subgame perfect nash equilibria in the game, add the perfect result in subgames and resulting payout vector Independent samples f-test Conduct an independent i test with the question and data below. Use a two-tailed test with .05 alpha. 10.26 An independent-samplest test and getting people to turn off the light: Do you turn off the light when you leave the room? South Korean researchers wondered how they could increase the number of people who do (Ahn, Kim, & Aggarwal, 2013). They compared two poster campaigns. In one, an image of a light bulb was anthropomorphized by giving it eyes, nose, and a mouth, as well as adding the words, "I'm burning hot, turn me off when you leave!" (p. 225). In a second, there were no human features on the light bulb and the text simply said, "Our bulbs are burning hot, turn the lights off when you leavel" (p. 226). Participants were randomly assigned to view one of these posters and then were asked to rate a series of items about how likely they would be to behave in an environmentally friendly manner. The scale went from 1 (very unlikely) to 9 (very likely). The summary statistics for the data given here approccimate the actual means and standard errors in the study. Anthropomorphism Nonanthropomorphism 7.2 5.3 8.1 6.2 7.5 6.56.9 7.0 6.6 5.6 7.4 6.86.5 6.2 Report hypotheses a) H b) H: Report degrees of freedom and critical values Report The mean difference score (X. - X2), the standard error of difference score (S8,-8,), I-statistic, and p-value Report the decision & interpretation Report 95% confidence interval 3) (25) Grapefruit Computing makes three models of personal computing devices: a notebook (use N), a standard laptop (use L), and a deluxe laptop (Use D). In a recent shipment they sent a total of 840 devices. They charged $300 for Notebooks, $750 for laptops, and $1250 for the Deluxe model, collecting a total of $14,000. The cost to produce each model is $220,$300, and $700. The cost to produce the devices in the shipment was $271,200 a) Give the equation that arises from the total number of devices in the shipment b) Give the equation that results from the amount they charge for the devices. c) Give the equation that results from the cost to produce the devices in the shipment. d) Create an augmented matrix from the system of equations. e) Determine the number of each type of device included in the shipment using Gauss - Jordan elimination. Show steps. Us e the notation for row operations. 1) What is the hypothesis in this experiment?2) what is standard error? 3) what does a large standard error value indicate? According to SWOT analysis, the example of strength: A. Weather B. A new international market C. A price that is too high D. The location of a business Which is true of Atrial Natriuretic Peptide? It is released in response to increasing blood pressure and stretching of the atrial wall It causes the release of angiotensin II It causes aquaporins to be inserted into the tubule and collecting duct It causes water to be reabsorbed, increasing blood volume and pressure - What is the width of a single slit that produces its first minimum (m = 1) at 60.0 for 600 nm light 1 nm=1 x 10-9 m. O 392.9 nm 492.9 nm O 592.9 nm 692.9 nm An ideal gas is contained in a vessel at 300K . The temperature of the gas is then increased to 900K..(iii) the average momentum change that one molecule undergoes in a collision with one particular wall. 1. An IV solution of 500 mL of NS must infuse in 5 hours. What is the flow rate in mL/h? 2. An IV is infusing at 50 ml/h. How long will it take for 225 mL to infuse? 3. An IV is infusing at 40 ml/h. How many mL will infuse in 2 hours and 20 minutes? 4. An intravenous solution of D3/W is infusing at a flow rate of 30 gtt/min. The drop factor is 15 gtt/mL. What is the flow rate in ml/h? 5. An infusion of 1,000 mL of NS must infuse in 10 hours. The drop factor is 20 gtt/mL. Find the flow rate in gtt/min. 6. Order: D5W 1,000 mL IV infuse in 12 hours. After 7 hours, 600 mL are left in the bag (LIB). Recalculate the flow rate so that the infusion will fin- ish on time. 7. Order: For every 100 mL of urine output, replace with 60 mL of water via PEG tube q6h. The patient's urinary output is 500 mL. What is the neces- sary replacement volume? Consider the following fractionF(s)=(2s^2+7s+5 )/s(s+2s+5) =a) Use the partial fraction to rewrite the function above2s^2 +7s+5/s(s+2s+5)= (A /s)+(B/s)+ (Cs+D)/(s+2s+5) where A, B, C, and D are some constants.A =B =C =D =