PLEASE HELP ME AS SOON AS POSSIBLE

PLEASE HELP ME AS SOON AS POSSIBLE

Answers

Answer 1

a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.

b) Using the function, the estimate for the population in 2020 is of 26,400.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:

m = -2400/12 = -200.

Hence the equation is:

P(t) = -200t + 29600.

2020 is 16 years after 2004, hence the estimate is:

P(16) = -200(16) + 29600 = 26,400.

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Related Questions

The average height of students at UH from an SRS of 14 students gave a standard deviation of 2.5 feet. Construct a 95% confidence interval for the standard deviation of the height of students at UH. Assume normality for the data.

Answers

The 95% confidence interval for the standard deviation of the height of students at UH is given by; CI = (1.81, 4.03)

How to find the confidence interval for standard deviation?

The formula for the confidence interval for the standard deviation is given by the formula;

CI = √[(n - 1)s²/(χ²ₙ ₋ ₁, α/2)], √[(n - 1)s²/(χ²ₙ ₋ ₁, (1 - α)/2)]

We are given;

Sample size; n = 14

D F = n - 1 = 14 - 1 = 13

Standard Deviation; s = 2.5

Confidence Level; CL = 95% = 0.95

Significance level; α = 1 - 0.95 = 0.05

Thus, using Chi-square distribution table online we have;

χ²₁₃, ₀.₀₂₅  = 24.736

(χ²₁₃, ₀.₉₇₅) = 5.01

Now, the 95% confidence interval for the standard deviation of the height of students at UH is given by :-

CI = √[(13 * 2.5²/(24.736)], √[(13 * 2.5²/(5.01)]

CI = (1.81, 4.03)

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which number produces a rational number when multiplied by 1/3
A. 2
B. -√17
C. 0.166
D. 2/3

Please could you answer this one decently quick for me? thanks!

Answers

The number which produces a rational number when multiplied by 1/3 is; Choice A; 2.

What is a rational number?

It follows from the definition of rational number that they can be represented as the quotient a/b of two integers such that b ≠ 0.

On this note, it follows that when 1/3 is multiplied by 2; the result is 2/3 which is a rational number.

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What is the area of this triangle?

_units²

Answers

The area of the triangle is 4 units²

What is the area of a triangle?

The area of a triangle is the half the base multiplied with the height of that triangle

Area = 1/ 2 × b × h

From the figure given,

base = 7 - 3 = 4 units

height = 4 - 2 = 2 units

Area = 1/ 2 × 4 × 2

Area = 1/ 2 × 8

Area = 4 units²

Thus, the area of the triangle is 4 units²

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. the percentage error if 625.483 is approximated to 3 significant digits is
a. 0.0662
b. 0.0772
c. 0.0552
d. 0.0882

Answers

Percentage error is the difference between an actual value and its expected value per the actual value which is expressed in percentage. In the given question, the percentage error is option b.  0.0772

Percentage error is the difference between an actual value and its expected value per the actual value which is expressed in percentage.

This can be expressed as;

percentage error = [tex]\frac{actual value - expected value}{actual value}[/tex] x 100%

Where the actual value is the accurate value, and the expected value is derived from the actual value.

Thus in the given question, it can be deduced that,

actual value = 625.483

expected value = 625.000

The difference between the two values = (625.483 - 625.000)

                                                  = 0.483

So that,

percentage error = [tex]\frac{0.483}{625.483}[/tex] x 100%

                   = 0.07722

percentage error = 0.0772

Therefore, the required percentage error is 0.0772 i.e option b.

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Which equation gives the lines show on Graph y= 2x+4
y= -1/2x-4
y=1/2x+4
y=2x-4

Answers

the answer is the second one y=1/2x+4

If p(a) = 2/3, p(b) = 4/5, and p(anb) = 3/5, what is P( AuB) ( the n is the arc shape direction, so is the u)

Answers

By the inclusion/exclusion principle,

[tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]

[tex]P(A\cup B) = \dfrac23 + \dfrac45 - \dfrac35[/tex]

[tex]P(A\cup B) = \dfrac{10}{15} + \dfrac{12}{15} - \dfrac9{15}[/tex]

[tex]P(A\cup B) = \boxed{\dfrac{11}{15}}[/tex]

just this please helppp

Answers

The height of the water depth is h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours, and the height of the Ferris wheel is h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds. Please see the image to see the figures.

How to derive equations for periodical changes in time

According to the two cases described in the statement, we have clear example of sinusoidal model for the height as a function of time. In this case, we can make use of the following equation:

h = a + A · sin (2π · t/T + B)     (1)

Where:

a - Initial position, in meters.A - Amplitude, in meters.t - Time, in hours or seconds.T - Period, in hours or seconds. B - Phase, in radians.

Now we proceed to derive the equations for each case:

Water depth (u = 20 m, l = 8 m, a = 14 m, T = 12 h):

A = (20 m - 8 m)/2

A = 6 m

a = 14 m

Phase

20 = 14 + 6 · sin B

6 = 6 · sin B

sin B = 1

B = π/2

h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours.

Ferris wheel (u = 40 m, l = 2 m, a = 21 m, T = 40 s):

A = (40 m - 2 m)/2

A = 19 m

a = 21 m

Phase

2 = 21 + 19 · sin B

- 19 = 19 · sin B

sin B = - 1

B = - π/2

h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds.

Lastly, we proceed to graph each case in the figures attached below.

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A regular pair of gloves are $35. If its sale price is $24.50, what is the percent of disount?

Answers

Answer:

30%   discount

Step-by-step explanation:

(35 - 24.50) / 35  * 100% = 30%

Jaun rides the bus to school each day he always arrives at his bus stop on time but his bus is late 80% of the time

Answers

The correct probability that Juan's bus is going to be late every week next week is 20 percent.

How to solve for the probability

We have the total number in the stimulation on to be from 0 to 9

On the fact that it would be late, the number ranges from 2 to 9

Hence the fact that it would be late would be

2/10

= 0.2

0.2 is also the same as 20 percent.

Complete question

Juan rides the bus to school each day. He always arrives at his bus stop on time, but his bus is late 80% of the time. Juan runs a simulation to model this using a random number generator. He assigns these digits to the possible outcomes for each day of the week:

• Let 0 and 1 = bus is on time

• Let 2, 3, 4, 5, 6, 7, 8, and 9 = bus is late

The table shows the results of the simulation.

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x/4 ÷ 2/3 = 1/5

solve for x

Answers

The value of x from the equation x/4 ÷ 2/3 = 1/5 is 8/15

Fraction

x/4 ÷ 2/3 = 1/5

x/4 × 3/2 = 1/5

(x × 3) / (4 × 2) = 1/5

3x / 8 = 1/5

cross product

3x × 5 = 8 × 1

15x = 8

x = 8/15

Therefore, value of x from the equation x/4 ÷ 2/3 = 1/5 is 8/15

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Suppose in a class of 60 students 5 have no siblings, 26 have one sibling, 14 have two siblings, and 15 have three siblings. Calculate the relative frequency of students who have three siblings. (please express as a percentage)

Answers

The relative frequency of students who have three siblings is 25% given that there are 60 students in a class in which 5 have no siblings, 26 have one sibling, 14 have two siblings and 15 have three siblings. This can be obtained by using the formula for relative frequency.

What is the relative frequency of students who have three siblings?

Given that,

total number of students in the class = 60

number of students who have no sibling = 5

number of students who have 1 sibling = 26

number of students who have 2 sibling = 14

number of students who have 3 sibling = 15

Formula for relative frequency = f/n, where f is the number of times the data occurred, n is the total number of frequencies.

Therefore,

relative frequency of students who have three siblings = 15/60 = 0.25

In percentage ⇒ 0.25 × 100 = 25%

Hence the relative frequency of students who have three siblings is 25% given that there are 60 students in a class in which 5 have no siblings, 26 have one sibling, 14 have two siblings and 15 have three siblings.

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HELP PLEASE ASAP:<

Consider the expressions given below.
A. 2x³ - x² - 6x
B. 2x³ + 8x + 4
C. 3x^4+ x² + x - 7
D. 3x^4 - 3x^2 + 5x - 7

For each expression below, select the letter that corresponds to the equivalent expression from the given list.
(4x³ 4 + 7x) - (2x³ 8)is equivalent to expression
(-3x² + x¹ + x) + (2x¹ - 7+ 4x)is equivalent to expression
(²2x) (2x + 3)is equivalent to expression
3x² + 5x - 7

Answers

1) B

2) C

3) A

do you need an explanation?

Which of the following is a geometric sequence?

A. 7, 4, 1, -2, …

B. 2, 4, 6, 8, …

C. 1, 1/2, 1/4, 1/8, …

D. 1, 1, 2, 3, 5, …

Answers

Answer: C

Step-by-step explanation:

Each term is half the previous term.

A linear function contains the following points. x 0 2 4 6 y 3 -1 -5 -9
What are the slope and y-intercept of this function?

A. The slope is -2. The y-intercept is (3,0).
B. The slope is -1/2 The y-intercept is (0,3)
C. The slope is 2. The y-intercept is (0,3)
D. The slope is -2. The y-intercept is (0,3)

Answers

Answer:

D. The slope is -2. The y-intercept is (0,3)

Step-by-step explanation:

You can use any two points.

Let's use the first two points: (0, 3), (2, -1)

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (-1 - 3)/(2 - 0)

slope = -4/2

slope = -2

The y-intercept occurs when x = 0. For x = 0, y = 3, so the y-intercept is 3 which means the point (0, 3).

Answer: D. The slope is -2. The y-intercept is (0,3)

The answer is d -2 the y-Intercept

The Random Variable is normally distributed with mean = 98 and standard deviation =
20.41.
On the sampling distribution with n = 81, for what value of the sample mean (X) would have
10% of the possible sample means less than it? Round your answer to 2 decimal places.

Answers

If mean is 98, standard deviation is 20.41, n=81 then sample mean will be  131.57445 which would have 10% of the possible mean less than it.

Given that mean is 98,standard deviation is 20.41,n=81 and significance level be 10%.

We are required to find the value of sample mean.

Because the value of n is greater than 30 so we will use z statistics in the problem.

We know that,

Z=(X-μ)/σ  in which μ is population mean, σ is standard deviation.

Confidence level=1-0.01=0.09 means 90%.

Z value for 90% confidence level be 1.645.

we have to put the value of Z=1.645 , μ=98,σ=20.41 to get the value of X.

1.645=(X-98)/20.41

1.645*20.41=X-98

33.57445=X-98

X=98+33.57445

X=131.57445

Hence if mean is 98, standard deviation is 20.41, n=81 then sample mean will be  131.57445 which would have 10% of the possible mean less than it.

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A linen napkin, in the shape of a square, has sides that are 10 inches long.

If the napkin is folded along the diagonal, whats the length of the diagonal?
round to the nearest tenth.

Answers

Answer: A=187.5,2

Step-by-step explanation:

answer would be 187.5

Plot graph of
5x+7y= 50
7x + 5y = 46​

Answers

Answer:

It's attached you may see it!!

Answer:

see attachments

Step-by-step explanation:

Given equations:

[tex]\begin{cases}5x + 7y = 50\\7x + 5y = 46\end{cases}[/tex]

To plot the graphs of the given equations:

Rearrange each equation to make y the subject.Input at least two values of x into the equations to find two points on each line.Plots the points.Draw a straight line through the points.

Equation 1

[tex]\implies 5x + 7y = 50[/tex]

[tex]\implies 7y = -5x + 50[/tex]

[tex]\implies y = -\dfrac{5}{7}x+\dfrac{50}{7}[/tex]

[tex]x=-4 \implies y = -\dfrac{5}{7}(-4)+\dfrac{50}{7}=10 \implies (-4,10)[/tex]

[tex]x=3 \implies y = -\dfrac{5}{7}(3)+\dfrac{50}{7}=5 \implies (3,5)[/tex]

Plot the points (-4, 10) and (3, 5) then draw a straight line through them (see attachment 1).

Equation 2

[tex]\implies 7x+5y=46[/tex]

[tex]\implies 5y=-7x+46[/tex]

[tex]\implies y=-\dfrac{7}{5}x+\dfrac{46}{5}[/tex]

[tex]x=3 \implies y=-\dfrac{7}{5}(3)+\dfrac{46}{5}=5 \implies (3,5)[/tex]

[tex]x=8 \implies y=-\dfrac{7}{5}(8)+\dfrac{46}{5}=-2 \implies (8,-2)[/tex]

Plot the points (3, 5) and (8, -2) then draw a straight line through them (see attachment 2).

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HELP IM BEING TIMED I NEED THE ANSWER QUICKLY AS POSSIBLE!!
What is the range of the absolute value function below?

Answers

According to the graph

It's a Translated modulus functionIt has vertex at (4,1)

Maximum value is 1

So

Range is

f(x)≤1

Option C

Mediciones recientes del fondo del mar que se extiende a lo largo de las crestas a medio océano muestran que la deriva continental es del orden de 4 cm. Suponga que este valor ha sido constante a través del tiempo y considere la distancia actual entre Sudamérica y África como 5000 millas. ¿Cuánto tarda Aproximadamente pangea en fragmentarse?

Answers

Usando proporciones, hay que la pangea tardra aproximademente 20,116,750 años para fragmentar-se.

¿Qué es una proporción?

Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.

La deriva continental es del orden de 4 cm al año. La distancia actual entre Sudamérica y África es de 5000 millas. En cm, esta distancia es la seguiente:

5000 millas = 5000 x 160934 cm = 80,467,000 cm.

Asi, el tiempo que levará para la pangea fragmentar-se es:

t = 80,467,000/4 = 20,116,750 años

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Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?
8, 10, 14
9, 12, 15
10, 14, 17
12, 15, 19

Answers

Answer:

8, 10, 14

Step-by-step explanation:

1. 8² + 10² = 164 and 14² = 196, so this works.

2. 9² + 12² = 15² = 225, so this is a right triangle.

3. 10² + 14² = 296 and 17² = 289, so this is an acute triangle.

4. 12² + 15² = 369 and 19² = 361, so this is an acute triangle.

Answer:

a

Step-by-step explanation:

Answer 1/4 + 3/5-3/10 =

Answers

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

At the movie theatre, child admission is and adult admission is . On Wednesday, tickets were sold for a total sales of . How many child tickets were sold that day

Answers

The child tickets were sold that day is 82.

Given the cost of child admission $6.30 and the cost of adult admission $9.80 and on Wednesday 144 tickets were sold for a total sales of $1124.20.

Let the child tickets are x and adult tickets are y.

On Monday, 144 tickets were sold for a total sales.

x+y=144              ........(1)

Total sales = $1124.20

Need to find the child tickets sold on Wednesday.

Total sales = 6.30x+9.80y

Total sales = $1124.20

So,6.30x+9.80y=1124.20                        .......(2)

Find the value of y from equation (1), we get

x+y-x=144-x

y=144-x

Now, we will substitute the value of y in equation (2) to find the value of x, we get

6.30x+9.80(144-x)=1124.20

Apply the distributive property that is a(b+c)=ab+ac, we get

6.30x+9.80×144-9.80x=1124.20

6.30x+1411.2-9.80x=1124.20

Combine the variable terms on left side, we get

1411.2-3.5x=1124.20

subtract 1411.2 from both sides, we get

1411.2-3.5x-1411.2=1124.20-1411.2

-3.5x=-287

Divide both sides with -3.5x, we get

-3.5x/(-3.5)=-287/(-3.5)

x=82

Therefore, 82 child tickets were sold on Wednesday when cost of child admission $6.30 and the cost of adult admission $9.80.

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Three more than twice a number is five less than the square of the number.What is the number?​

Answers

Let the number be x.

2x+3= x^2-5
2x-x^2+8=0
x^2-2x-8=0
(x-4)(x+2)=0
x=4 OR x=-2

Hope it helps : )

A circular table has a radius of 5cm. decorative trim is placed along the outside edge. how long is the trim?single line text.

Answers

If the radius of the circular table is 5 cm then the length of the trim required is 31.4 cm.

Given that the radius of the circular table is 5 cm.

What is the length of trim needed to decorate along the outside trim?

Circumference is the length of arc of the circle.It is also known as the perimeter of the  circle.

Circumference of the circle=2πr in which r is the radius of the circle.

It is given that the trim is placed and decorated along the outside edge, so the perimeter of the circle must equal to the length of trim needed.

Length of trim needed to decorate the circular table=2πr

=2*π*5

=10π

=10*3.14

=31.4 cm.

Hence the length of the trim needed to decorate along the table is 31.4 cm.

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Use facts about tangents and sextants to find new angles and arcs. PLS HELP!! GEOMETRY!! WILL MATK BRAINLIST!!

Answers

Applying the angle of intersecting secants theorem, the measure of angle B is: 35°.

What is the Angle of Intersecting Secants Theorem?

The measure of the angle formed outside a circle by two intersecting secants is equal to half the positive difference of the measures of the arcs they intercept based on the angle of intersecting secants theorem.

Applying the angle of intersecting secants theorem, we have the following:

Let the missing measure of the arc for angle A be x. Therefore:

6 = 1/2(x - 17)

2(6) = x - 17

12 = x - 17

12 + 17 = x

x = 29°

m∠B = 1/2(99 - x)

Plug in the value of x

m∠B = 1/2(99 - 29)

m∠B = 35°

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7.
Ja
In the diagram below, M is the midpoint of KL.
Solve for the value of x.
Skip step
Enter your
here
K
4x + 1
M
8x - 15

Answers

Answer:

x = 4

Step-by-step explanation:

Since M is the midpoint of segment KL, then segments KM and LM are congruent. They have the same length.

4x + 1 = 8x - 15

4x = -16

x = 4

Order the following expressions from least to greatest

(Quick Please)

Answers

square root (3) < square root (pie) < 2

The radius of circle A is 4.4 units.Which element of circle A has a measure of 27.65 units

Answers

Answer:

The circumference

Step-by-step explanation:

[tex]circumference \: = 2\pi \times radius \\ c = 2\pi(4.4) \\ c = 8.8\pi = 27.65[/tex]

Can someone help me with this pls

Answers

Answer:

x = 1/3 or x = -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

9x2+3x−2=0

For this equation: a=9, b=3, c=-2

9x2+3x+−2=0

Step 1: Use quadratic formula with a=9, b=3, c=-2.

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(3)\pm\sqrt{(3)^2-4(9)(-2)} }{2(9)}[/tex]

[tex]x=\frac{-3\pm\sqrt{81} }{18}[/tex]

x = 1/3 or x = -2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What is the quadratic formula?}[/tex]

[tex]\rm{x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]

[tex]\textsf{Or even}[/tex]

[tex]\rm{ax^2 + bx + c = 0}[/tex]

[tex]\huge\textbf{What are we looking for?}[/tex]

[tex]\rm{9x^2 + 3x - 2 = 0}[/tex]

[tex]\huge\textbf{What are the labels in the equation?}[/tex]

[tex]\mathsf{a \rightarrow 9}\\\\\mathsf{b\rightarrow 3}\\\\\mathsf{c \rightarrow -2}[/tex]

[tex]\huge\textbf{Solving for your equation:}[/tex]

[tex]\rm{x = \dfrac{-(3)\pm \sqrt{3^2 - 4(9)(-2)}}{2a}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\rm{x = \dfrac{-3\pm \sqrt{81}}{18}}[/tex]

[tex]\rm{x = \dfrac{1}{3}\ or\ x = - \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\mathsf{x} = \dfrac{1}{3}\ or\ \mathsf{x} = - \dfrac{2}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

0.04 less than 1.38​

Answers

1.34 is the answer :D

First, you need to understand the vocabulary.
Saying x less than y means that you are subtracting from y. Your x here is 0.04, and your y is 1.38

y-x = 1.38-0.04 = 1.34

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For the reaction: N2(g) + 2O2(g)2NO2(g) H = 66.4 kJ and S = -121.6 J/K The equilibrium constant for this reaction at 333.0 K is ___ .Assume that H and S are independent of temperature. What are some differences between a commercial automatic fire sprinkler system (NFPA 13) and a residential system (NFPA 13D)?Which type of automatic fire alarm system sends an alarm signal to an off-site monitoring company? What does the monitoring company do after receiving the signal?Describe the differences between a wet, dry pipe and pre-action fire sprinkler system?What are the two common types of smoke detectors/alarms? Which one uses a radioactive element? Which one would you choose and why?What style fire detection device can be the least prone to false alarms but can be the slowest to activate?Dry pipes canDescribe the differences between Class I, Class II and Class III Standpipe systems? if i ____ you, i would apply for that job immediately. group of answer choices was e the standard matrix for the linear transformation t to find the image of the vector v. t(x, y, z) = (4x y, 5y z), v = (0, 1, 1) if people tell a lie for a reward, they are more likely to come to believe the lie if they are given a small reward rather than a large reward for telling the lie.T/F The managerial value of regularly consulting the data in the Year-to-Year Performance Highlights report has to do with the data provided being the quickest and best way to: determine why the company's operating profit per pair in the Internett and Wholesale segments within each region are different spot the flawed decisions made in the prior-year's decison round o decide what price offers to make to supply chain retailers with private-label footwear in each region identify more competitively-effective ways to match or beat the performance of rival companies with higher performance scores or, if it is already the industry's best performing company, how to extend the company's lead over those rival companies not far behind review whether the trends in productivity, labor cost per pair, and production cost at each production facility are "favorable" or "unfavorable' or erratically up and down and then consider what corrective actions, if any, may be appropriate. In an L-C circuit, L-85.0 mH and C- 3.20 uF During the oscillations the maximum current in the inductor is 0.850 mA. (a) What is the maximum charge on the capacitor? (b) What is the magnitude of the charge on the capacitor at an instant when the current in the inductor has magnitude 0.500 mA? 7). As a newly promoted leader of a remote team, where should your primary focus be?A) empowering your team to make their own decisionsB) establishing processes the team must follow in making decisionsC) closely monitoring remote team members' performance _ accounts are similar to interest-bearing checking accounts, but with more restrictions. 1) A cluster of stars ___ seen in the night sky. (were/ was). 2)No one in our family have ever been to California. (have, has). 3) Neither his parents nor Peter ____ aware of this. (was / were if there are eight levels of factor a and six levels of factor b for an anova with interaction, what are the interaction degrees of freedom? a) 12. b) 36. c) 25. d) 10. Susie paid 2/5 of the price of her movie ticket. Her parents paid the remaining portion of the movie ticket price. What decimal is equivalent to the fraction of the price of the movie ticket Susie paid? 17 points!! Which of these statements is most true about identifying a guiding statement in step 2 of the Progressive Problem-Solving Method?Identifying a mission statement for the group allows it to better understand the issue it must tackleIdentifying the group's charge and its degree of freedom allows the group to focus on enacting as many of its priorities as possibleIdentifying a "solution question" allows the group to work toward a clearly defined objective, ensuring the group remains focused on resultsIdentifying a "problem question" allows the group to approach the issue neutrally, without biasing it toward any specific approach or solution. In speeches 3445, how do the stage directions help develop Lily's character?ResponsesThey illustrate that Lily sympathizes with Louisa.They illustrate that Lily sympathizes with Louisa.They explain why Lily prefers shopping to reading.They explain why Lily prefers shopping to reading.They show Lily's close relationship with her uncle.They show Lily's close relationship with her uncle.They emphasize that Lily is used to having her own way. (a) find a function from the set {1, 2, , 30} to {1, 2, , 10} that is a 3-to-1 correspondence. (you may find that the division, ceiling or floor operations are useful.) a+firm+has+a+debt-to-total+asset+ratio+of+75%,+$225,000+in+debt,+and+net+income+of+$49,500.+calculate+return+on+equity.+(do+not+round+intermediate+calculations.) Company currently has annual cash revenues of P3,500,000 and annual operating costs of P2,690,000 (all cash items except depreciation of P280,000). The company is considering the purchase of a new machine costing P1,000,000 that would increase cash revenues to P4,300,000 and operating costs (including depreciation) to P2,890,000. The new machine would What proofreading and revision suggestions did you make to improve the writing sample? How did this process help you become a better writer? sedentary subjects are more likely to get eiah compared to elite endurance athletes what is the formal method of analysis applied by management