which ratio would be used to find x? ​

Which Ratio Would Be Used To Find X?

Answers

Answer 1

Using SOH CAH TOA the ratio that would be used to determine the value of x is cos (20°) = 54 / x. The correct options is C. cos (20°) = 54 / x

Determining the ratio that could be used to determine the value of x

From the question, we are to determine the ratio that could be used to determine the value of x

From the given information, we have a diagram that shows a right triangle with hypotenuse x, an adjacent side 54, and an included angle of 20°.

To determine the value of x, we will use SOH CAH TOA

sin (angle) = Opposite / Hypotenuse

cos (angle) = Adjacent / Hypotenuse

tan (angle) = Opposite / Adjacent

Thus,

Using the cosine ratio from SOH CAH TOA

cos (20°) = 54 / x

Hence, the ratio is cos (20°) = 54 / x

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Related Questions

WILL MARK BRAINLIEST

WILL MARK BRAINLIEST

Answers

Answer:
y< or = 11

Explanation: y-5< or = 6
Add 5 to both sides

the profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morning for the day's supply of hot dogs,but he earnes $2 profit for each hot dog sold which equation represent y, the profit earned bye the hot dogs sold

Answers

Answer:

Step-by-step explanation:

If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is

y = 2x - 48

Answer:

c

Step-by-step explanation:

Can someone help? :)

Can someone help? :)

Answers

The slope is \(\frac{3}{4}\)

What is slope ?

 A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane can aid in determining whether the line is parallel, perpendicular, or not. Any two clearly separated points on a line can be used to calculate the slope of any line. Calculated using the slope of a line formula, the ratio of "vertical change" to "horizontal change" between two different locations on a line is determined.

here the given two pints are

\((x_1,y_1)=(-2,4)\\(x_2,y_2)=(6,10)\)

Now using slope formula,

slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

=> slope m = \(\frac{10-4}{6+2}\)

=> slope m = \(\frac{6}{8}\)

=> slope m = \(\frac{3}{4}\)

Therefore the slope is \(\frac{3}{4}\).

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PLEASEE HELPPP!
what is the measure of

PLEASEE HELPPP! what is the measure of

Answers

Answer:

x=12

Step-by-step explanation:

Im not sure which measure you're talking about, but I'll show you what I did here:

A triangle = 180 degrees.

4x + 8x + 4x =16x

-8 - 1 - 3 = -12

180 = 16x - 12        -Add 12 to both sides

192 = 16x               -divide by 16 to get x by itself

12 = x

Angle A = 88 degrees (8 times 12 then subtract 8)

Angle B = 47 degrees (4 times 12 then subtract 1)

Angle C = 45 degrees (4 times 12 then subtract 3)

4y^5-6y+8y^2-1 for y = -1

Answers

Answer:9

Step-by-step explanation:

Si al número de grados sexagesimales que contiene un ángulo se le resta 13, y a
un número de grados centesimales se le resta 2, se obtienen dos cantidades en la
relación de 2 a 3. ¿Cuál es la medida circular del ángulo?

Answers

Answer:

I am not sure my guy

Step-by-step explanation:

sorry?

what is the relationship between a and b in a star?

Answers

Answer:

Step-by-step explanation:

The Luminosity of a star is proportional to its Effective Temperature to the 4th power and its Radius squared." Example 1: Two stars are the same size, (RA=RB), but star A is 2x hotter than star B (TA=2TB): Therefore: Star A is 24 or 16x brighter than Star B.

For a given week, latoya's coffee house has available ounces of a grade coffee and ounces of b grade coffee. these are blended into -pound packages as follows: an economy blend that contains ounces of a grade coffee and ounces of b grade coffee, and a superior blend that contains ounces of a grade coffee and ounces of b grade coffee. (the remainder of each blend is made of filler ingredients.) there is a profit on each economy blend package sold and a profit on each superior blend package sold. assuming that the coffee house is able to sell as many blends as it makes, how many packages of each blend should it make to maximize its profit for the week?

Answers

Certainly! Let's consider an example with arbitrary numbers to illustrate the concept.

Let's assume Latoya's Coffee House has the following values:

Available ounces of grade A coffee: 100 ounces

Available ounces of grade B coffee: 80 ounces

Economy blend composition: 4 ounces of grade A coffee and 2 ounces of grade B coffee

Superior blend composition: 5 ounces of grade A coffee and 3 ounces of grade B coffee

Profit per economy blend package: $5

Profit per superior blend package: $7

Now, we can proceed to determine the number of packages of each blend that should be made to maximize the profit for the week.

Let's say Latoya's Coffee House produces 'x' packages of the economy blend and 'y' packages of the superior blend.

Profit for the economy blend: P_economy = 5 * x

Profit for the superior blend: P_superior = 7 * y

The total profit for the week, P_total, is given by:

P_total = P_economy + P_superior

P_total = 5x + 7y

We need to maximize P_total while considering the available ounces of grade A and grade B coffee.

The constraints are as follows:

4x + 5y ≤ 100 (Available ounces of grade A coffee)

2x + 3y ≤ 80 (Available ounces of grade B coffee)

Additionally, 'x' and 'y' should be non-negative since we cannot produce negative packages.

To solve this linear programming problem and find the optimal values for 'x' and 'y', we can use optimization techniques such as the simplex method or graphical methods.

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What similarity statement can you write relating the three triangles in the diagram?

What similarity statement can you write relating the three triangles in the diagram?

Answers

Answer:

They are both right-angled triangles.

Step-by-step explanation:

Question should guns be allowed to be at school for example can a security guard have a gun?

Answers

Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.

Step-by-step explanation:

Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.

Step-by-step explanation:

Pls help me I need some help

Pls help me I need some help

Answers

Answer:

THIS IS SO EASY JUST OPEN YOUR BRAIN AND DO IT THIS IS LIKE 2nd GRADE CMON!!!!

Step-by-step explanation:

Answer: I’m am not sure but i think it is 126

Step-by-step explanation:

The value of which of these expressions is closest to e?

The value of which of these expressions is closest to e?

Answers

The answer is B because e is 2.17

Answer:

the answer is D

Step-by-step explanation:

Got it wrong on the A*pex test D is the correct answer

1+(1/30)30

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.

Answers

Step-by-step explanation:

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.

644 = 12a + 200

444 = 12a

a = 37

The area of a circle is 121 pi squared meters find the area of the sector whose central angle is 28°

Answers

The sector's needed area while adopting the center angle is 75.6°.

What is the central angle?

When two circle radii come together to form a vertex in the center of a circle, the result is a central angle.

This circle's arms could come from two different locations along its arc.

The intersection of the two radii produces a central angle that makes it easier to divide a circle into several halves.

Area of circle:

πr² = 121π

r² = 121

r = 11 m

Now, the area of the sector:

= θ/360 * πr²

= 28/360 * 3.14 * 11 * 11

= 72 * 379.94/360

= 72*1.05

= 75.6

Therefore, the sector's needed area while adopting the center angle is 75.6°.

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PLEASE HELP ASAP WILL GIVE BRAINLY

PLEASE HELP ASAP WILL GIVE BRAINLY

Answers

1st = (-4,5)

2nd = (-2,3)

3rd = (0,1)

4th = (2,-1)

5th = (4,-3)

1 = (-4,5)
2= (-2,3)
3= (0,1)
4= (2,-1)
5= (4,-3)

what are the 3 Fibonacci sequence
5,2,7,5,12,7,19,12,31,19

Answers

The given sequence (5, 2, 7, 5, 12, 7, 19, 12, 31, 19) does not follow the traditional Fibonacci sequence. However, we can observe some patterns within this sequence.

If we consider the alternate numbers in the sequence, we can see that they form their own smaller Fibonacci-like sequences: 5, 7, 12, 19, 31. These numbers do not follow the exact Fibonacci pattern but exhibit a similar trend of increasing values.

On the other hand, the remaining numbers in the sequence (2, 5, 7, 12, 19) do not seem to follow any specific pattern. They do not correspond to the usual Fibonacci sequence or any clear mathematical progression.

In conclusion, while the given sequence may exhibit some similarities to the Fibonacci sequence in terms of increasing values, it does not strictly adhere to the traditional Fibonacci pattern, and it is not considered a Fibonacci sequence.

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Arianna' Diner old 80 milkhake lat week. 35% of the milkhake had whipped cream on top. How many milkhake with whipped cream were old?

Answers

The amount Arianna sold 80 milkshakes last week, and 35% of them had whipped cream on top. This means 28 milkshakes had whipped cream.

Arianna sold 80 milkshakes last week and 35% of them had whipped cream on top. This means that 35% of the total number of milkshakes, 80, had whipped cream. To calculate the amount of milkshakes with whipped cream, we must multiply the total number of milkshakes (80) by 35%. 35% of 80 is 28, so 28 milkshakes had whipped cream. To find the percentage, we divide the amount of milkshakes with whipped cream (28) by the total number of milkshakes (80). When we divide 28 by 80, we get 0.35, which is the same as 35%. Therefore, 35% of the milkshakes sold by Arianna last week had whipped cream on top.

Total milkshakes: 80

Milkshakes with whipped cream: 28

Percentage: 28/80 = 0.35 = 35%

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Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.
y = 4x + 3
4x + y = 3

Answers

Answer: neither

Step-by-step explanation:

For a graph to be parallel, it must have the same slope.

e.g., y = 2x    and    y = 2x + 1      are parallel because they both have the slope "2"

For a graph to be perpendicular, its slopes must be the reciprocal of each other, and the sign (positive/negative) is flipped

e.g., y = 2x    and    y = -1/2x + 1    are parallel because their slopes are reciprocals to each other, and the sign is flipped.

To know whether   y = 4x + 3    and    4x + y = 3 are parallel, perpendicular, or neither, we have to identify the slopes and use what was mentioned previously:

Identifying the slope:

y = 4x + 3        slope = 4

4x + y = 3   -->   y = -4x + 3           slope = -4

The slopes are different, so they are not parallel

As the slopes are not reciprocals, they are not perpendicular.

The graphs are neither parallel nor perpendicular.

What is the length of the missing side?

What is the length of the missing side?

Answers

4 feet cus das wha a little birdie told me

Answer:

4 Feet

Step-by-step explanation: Cut the rectangle in half and you get squares and half of eight is and they'd all have equal sides of 4

For 3 and 4, find the measure of each missing angle.

Answers

To find the missing angles, we have to use the fact that the sum of the angles of a triangle is 180°. So, we add up the known angles, and then subtract the sum from 180°. For problem 3:Let x be the measure of the missing angle at the bottom right corner of the triangle.

We know that the other two angles are 65° and 43°.Therefore,x + 65° + 43° = 180°x + 108° = 180°x = 72°So the measure of the missing angle is 72°.For problem 4:Let y be the measure of the missing angle at the bottom left corner of the triangle. We know that the other two angles are 70° and 50°.Therefore,y + 70° + 50° = 180°y + 120° = 180°y = 60°So the measure of the missing angle is 60°.Hence, the measures of the missing angles for problems 3 and 4 are 72° and 60°, respectively.

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an overnight express company must include eleven cities on its route. how many different routes are possible, assuming that it does matter in which order the cities are included in the routing?

Answers

Assuming that the order of the cities matters, the number of possible routes is 11! (11 factorial), which is 39916800.

The number of possible routes for an overnight express company that includes eleven cities on its route is 39916800. This is because when the order of the cities matters, the number of possible routes can be calculated by finding 11 factorial, which is:

11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

This calculation results in 39916800, which means that there are 39916800 potential routes for an overnight express company with eleven cities on its route.

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determine whether the function is a linear transformation. t: p2 → p2, t(a0 a1x a2x2) = (a0 a1 a2) (a1 a2)x a2x2

Answers

The functiοn t satisfies bοth the additivity and hοmοgeneity cοnditiοns, it is indeed a linear transfοrmatiοn frοm P₂ tο P₂.

What is Linear Transformation?

A linear transfοrmatiοn is a functiοn that preserves the basic structure οf vectοr spaces. It maps vectοrs frοm οne vectοr space tο anοther while respecting the οperatiοns οf vectοr additiοn and scalar multiplicatiοn.

Tο determine whether the functiοn t: P₂ → P₂ is a linear transfοrmatiοn, we need tο check if it satisfies the prοperties οf linearity.

Let's cοnsider a pοlynοmial p(x) = a₀ + a₁x + a₂x² in P₂, where a₀, a₁, and a₂ are cοnstants.

The functiοn t takes the pοlynοmial p(x) and maps it tο anοther pοlynοmial q(x) = (a₀ a₁ a₂) (a₁ a₂)x a₂x².

Fοr t tο be a linear transfοrmatiοn, it needs tο satisfy twο cοnditiοns:

Additivity: t(u + v) = t(u) + t(v)

Hοmοgeneity: t(cu) = c * t(u)

Let's check these cοnditiοns:

Additivity:

t(p(x) + q(x)) = t(a₀ + a₁x + a₂x² + b₀ + b₁x + b₂x²)

= t((a₀ + b₀) + (a₁ + b₁)x + (a₂ + b₂)x²)

= ((a₀ + b₀) (a₁ + b₁) (a₂ + b₂)) ((a₁ + b₁) (a₂ + b₂))x ((a₂ + b₂)x²)

= (a₀ a₁ a₂) (a₁ a₂)x a₂x² + (b₀ b₁ b₂) (b₁ b₂)x b₂x²

= t(a₀ + a₁x + a₂x²) + t(b₀ + b₁x + b₂x²)

= t(p(x)) + t(q(x))

The functiοn t satisfies the additivity cοnditiοn.

Hοmοgeneity:

t(c * p(x)) = t(c * (a₀ + a₁x + a₂x²))

= t(c * a₀ + c * a₁x + c * a₂x²)

= (c * a₀ c * a₁ c * a₂) (c * a₁ c * a₂)x (c * a₂)x²

= c * (a₀ a₁ a₂) (a₁ a₂)x a₂x²

= c * t(p(x))

The functiοn t satisfies the hοmοgeneity cοnditiοn.

Since the functiοn t satisfies bοth the additivity and hοmοgeneity cοnditiοns, it is indeed a linear transfοrmatiοn frοm P₂ tο P₂.

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When reaching mile marker 4 on the trail, Susan uses her GPS to find that her current elevation is 6135 feet. If she follows the trail until its end at mile marker 9, her elevation will be 8290 feet. What is the average change in elevation of Susan's position from mile marker 4 to mile marker 9, in feet per mile marker?

Answers

Answer:

Change in elevation= 431 feet/mile marker

Step-by-step explanation:

given data

Elevation at mile marker 4 = 6135 feet

Elevation at mile marker9 = 8290 feet

to find out

average change in elevation

solution

we get here average change in feet per mile marker  that is express as

average change in feet per mile = change in elevation ÷ change in mile marker     .....................1

put hree value we get

average change in feet per mile = \(\frac{8290-6135}{9-4}\)  

average change in feet per mile = 431 feet/mile marker

so

Change in elevation= 431 feet/mile marker

A 19,000 car has been reduced inpri by 4%. what is the new price of the car

Answers

The new price of the car after the 4% reduction is $18,240

What is the new price of the car?

Percentage is simply number or ratio expressed as a fraction of 100.

Given that,

Initial price of the car = $19,000Percentage of reduction = 4%New price of the car = ?

To determine the new price of the car after reduction;

New price = Initial price × ( 100% - 4% )

New price = Initial price × ( 96% )

Note that 96% is the same as 96/100

New price = $19,000 × 96/100

New price = $19,000 × 0.96

Multiply  $19,000 and 0.96

New price = $18,240

Therefore, the new price is $18,240.

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vector v is 448 M long and a 224 direction. Ha W is 336 M long in a 75.9 directions find the magnitude of their Vector sum

Answers

The magnitude of the sum of vectors is 240.8 M

How to find the magnitude of the vector sum?

We know that vector V has a magnitude of 448 meters and a direction of 224°, then the components are:

x-component = 448m*cos(224°) = -322.3my-component = 448m*sin(224°) = -311.2 m

The other vector W has a magnitude of 336 meters and a direction of 75.9°, then the components are:

x-component = 336m*cos(75.9°) = 81.9my-component = 336m*sin(75.9°)= 325.9m

Now if we add these two vectors, the coordinates of the sum are:

< -322.3m + 81.9m, -311.2 m + 325.9m> = <-240.4 , 14.7>

Then the magnitude is:

M = √(  (-240.4)^2 + ( 14.7)^2) = 240.8

The magnitude of the sum of vectors is 240.8 M

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the 98.4% confidence interval for snapdragons grown in compost is (20.91, 38.43). what is the margin of error of this confidence interval?

Answers

The margin of error of the 98.4% confidence interval for snapdragons  is 3.71.

The midpoint of the range is calculated by adding the upper and lower bounds and then dividing by two. So, the sample mean is `(20.91 + 38.43) / 2 = 29.67`.

The margin of error is calculated by multiplying the critical value of z* (1.96 for a 98.4% confidence level) by the standard error of the mean. The formula for calculating the margin of error is:

`Margin of error z*(standard deviation/√n`).

The formula is `range/4 = 1.96 * standard deviation/√n`.Now, solve for the standard deviation:

`standard deviation = (range/4) * √n / 1.96`

Substituting the values: `(38.43 - 20.91)/4 = 1.96 * standard deviation/√n`

Simplifying the equation: `4.26 = (1.96*standard deviation)/√n`

Squaring both sides: `4.26^2 = 3.8416 = (1.96^2 * standard deviation^2)/n`

Substituting the value of the standard deviation: `3.8416 = (1.96^2 * ((38.43 - 20.91)/4)^2) / n`

Solving for n: `n = ((1.96^2 * ((38.43 - 20.91)/4)^2) / 3.8416) = 31.54`

Now that we know the sample size, we can calculate the standard error of the mean:

`standard error = standard deviation/√n = ((38.43 - 20.91)/4)/√31.54 = 1.89`.

The margin of error is `1.96 * 1.89 = 3.71`.

The 98.4% confidence interval for snapdragons grown in compost is (20.91, 38.43). The margin of error of this confidence interval is 3.71.

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at a restaurant 60% of customers typically order a salad with their meal. what is the experimental probability the next 4 customers wil order a salad

Answers

The experimental probability the next 4 customers will order a salad is 12.96%

The experimental probability of the next 4 customers ordering a salad can be calculated by multiplying the individual probabilities of each customer ordering a salad.

Given that 60% of customers typically order a salad, the probability of a customer ordering a salad is 0.6, or 60% expressed as a decimal.

To find the probability of all 4 customers ordering a salad, we multiply the probabilities together:

P(4 customers ordering a salad) = 0.6 * 0.6 * 0.6 * 0.6 = 0.6^4 = 0.1296

Therefore, the experimental probability of the next 4 customers ordering a salad is 0.1296, or 12.96% expressed as a percentage.

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HELP! If the area of a rectangle is 10x^2+3x-4 and the width is 2x-1, what is the side length of the rectangle?

Answers

Answer:

5x+4

Step-by-step explanation:

Solve For x in terms of a y and z.

3xy - z = 2z + 5

Solve For x in terms of a y and z.3xy - z = 2z + 5

Answers

Answer

x= z/y + 5/3y

Step-by-step explanation:

Probabilities. Please help

Probabilities. Please help

Answers

In throwing a dice, there are 6 possible outcomes, namely 1, 2, 3, 4, 5 and 6.

P=(no. of favourable outcomes)/(no. of possible outcomes)

When we multiply the probability of an event with no. of trials, the we get the expected frequency of that event.

1) P(getting 1)=1/6

expected frequency of getting 1

=P(getting)1)×no. of trials

=1/6×600=100

But it is given that one is scored 200 times, so it makes a large difference from expected frequency, which is 100.

Therefore, the dice is not fair.

2) P(getting a tail)=0.3

estimate for the number of times the coin will land on a tail

=expected frequency of getting a tail

=P(getting a tail)×no. of trials

=0.3×150=45

3)P(getting a six)=2/3

expected frequency of getting a six

=P(getting a six)×no. of trials

=2/3×300=200

4)P(getting a three)=0.5

expected frequency of getting a three

=P(getting a three)×350

=0.5×350=175

Other Questions
Reviewing Words to Know Sonya paid $4.39 for a hero. She paid $0.95 for an orange and $1.67 for a drink. What is the total amount Sonya paid for all three items? quick help me please PLEASE HELP !! WILL GIVE BRAINLIST IF RIGHT, NO BS!!!!1.) Using credit:A.) helps prevent overspending.B.) leads to a higher rate of impulse purchases.C.) rarely leads to debt.D.) None of these choices are correct.2.) Which of the following financial products usually requires individuals to deposit money for a specific period of time.A.) stocksB.) mutual fundsC.) savings accountsD.) CDs3.) Which of the following choices is an example of an installment loan?A.) a fixed rate home loanB.) a variable rate credit cardC.) a mutual fundD.) a utility bill4.) Which of the following choices provides investors with the highest degree of diversity?A.) CDsB.) savings accountsC.) mutual fundsD.) None of these choices are correct.5.) The global financial crisis of 2008 was caused by:A.) an increase in subprime lending.B.) the bursting of the U.S. housing bubble.C.) excessive debt among Americans.D.) All of these choices are correct.6.) If the current exchange rate is 2 British pounds for every U.S. dollar, a meal that costs $20 U.S. would cost a British visitor:A.) 4 pounds.B.) 40 pounds.C.) 2 pounds.D.) 20 pounds.7.) A cash subsidy is a type of:A.) trade agreement.B.) export quota.C.) import rebate.D.) exchange rate. which of the following is true regarding the use of animals in research?iacuc review is required for animal research funded by the usda but not for animal research funded by other branches of the federal government.u.s. regulations require veterinary review of protocols involving primates but not other types of animal species.the attending veterinarian must be allowed to have access to all research animals at all times.the meetings where an iacuc reviews animal research protocols must be open to anyone who wants to attend.to expand research to include animal species that were not previously used before.to decrease the cost of research involving animals.to increase the amount of animal research so that treatments are created more quickly.to decrease the use of animals in research and to minimize pain and distress caused by animal experiments. your manager asks you to get details on a computer crash. what windows administration tool could you use? patients taking disulfiram/antabuse should be taught that alcohol can be found in what four nonconventional items? (CCMV)*** Ceejay needs to find a way to allow users to work from home using company owned laptops during a pandemic so that they are able to access resources on the intranet. Which of the following would be the best choice for him to implement?a. RDPb. VPNc. VNCd. IP Spoofing Graded potentials: Group of answer choices include receptor potentials and postsynaptic potentials. are conducted decrementally. include depolarizing and hyperpolarizing potentials can be summed are described by all of these. a bright line spectrum contains a line with a wavelength of 518m. determine the wavelength in meters What is the equation of the line that passes through the points (4,5) and (6,4)? What so the central idea of a slick little robot Recall Pasteur's experiment on spontaneous generation. If he had just warmed the nutrient-rich broth, rather than boiled it, what would have been the likely outcome of his experiment 5. Water, wind, ice, and gravity are important agents of ___ which is a destructive force Ilana industries incorporated needs a new lathe. It can buy a new high-speed lathe for $1 million. The lathe will cost $35,000 per year to run, but it will save the firm $125,000 in labor costs and will be useful for 10 years. Suppose that, for tax purposes, the lathe is entitled to 100% bonus depreciation. At the end of the 10 years, the lathe can be sold for $100,000. The discount rate is 8%, and the corporate tax rate is 21%. What is the npv of buying the new lathe?. the transition state of a reaction can easily be isolated: select the correct answer below: at high temperatures at low temperatures at low pressures under no circumstance A behavior, relationship, or organization that forms a basic part of society or culture is called a(n)civilizationideologyInnovationinstitution A group of friends went to an amusement park and played 3 games of mini-golf and 7 arcadegames for $45.50. Another group of friends played 4 games of mini-golf and 11 arcade gamesfor $63.80.Solve the system of equations. What is the cost of a game of mini-golf?Let the cost of a mini-golf game = x.Let the cost of an arcade game = y.$10.00$13.90$3.80$1.88 If the diameter of a circle is 8.4 in., find the area and the circumference of the circle. Use 3.14 for pi. Round your answers to the nearest hundredth. Describe how the Qu'ran is responsible forthe spread of the Arabic language around theworld today.