the altitude of an airplane is decreasing at a rate of 45 feet per second what si the change in altitude of the airplane over a period of 34 seconds
a -1,530
b 79
c -79
d 1530

Answers

Answer 1

Answer:

Step-by-step explanation:

d that the answer pls mark me brianlest


Related Questions

PLEASE ASAP HELP MEEEEThe longer leg of a right triangle is 3 inches longer than the shorter leg. The hypotenuse is 6 inches longer than the shorter leg. Find the side lengths of thetriangle.Length of the shorter leg:inchesLength of the longer leg:inchesinchesLength of the hypotenuse:

Answers

In order to find the values of the sides of the triangle you take into account the relation between sides and hypotenuse.

h: hypotenuse

c1: shorter leg

c2: longer leg

Longer leg c2 is 3 inches longer than c1:

c2 = c1 + 3

hypotenuse h is 6 inches longer than c1:

h = c1 + 6

The formula for the calculation of the hypotenuse is:

h² = c1² + c2²

you replace for h and c2 in terms of c1:

(c1 + 6)² = c1² + (c1 + 3)²

You solve the previous equation for c1:

c1² + 12c1 + 36 = c1² + c1² + 6c1 + 9

c1² - 6c1 - 27 = 0

the roots of the previous equation are:

(c1 - 9 )(c1 + 3) = 0

c1 = 9

c1 = -3

You take the positive number because there is no length of sides with negative values.

Then, c2 and h are:

c2 = c1 + 3 = 9 + 3 = 12

h = c1 + 6 = 9 + 6 = 15

Hence, shorter leg is 9 inches, longer leg 12 inches and hypotenuse 15 inches

Determine if the table below is proportional?

Answers

The table represent a direct proportional relation.

How to determine if a table represents a proportional relation

In this question we find a table with four pairs of elements that have to be tested with respect to the direct proportional formula, which is defined below:

y = k · x

Where:

x - Independent variable.y - Dependent variable.k - Constant of proportionality.

The table represents a direct proportional relation if and only if there is only one constant of proportionality:

k₁

k₁ = 12 / 3

k₁ = 4

k₂

k₂ = 20 / 5

k₂ = 4

k₃

k₃ = 8 / 2

k₃ = 4

k₄

k₄ = 32 / 8

k₄ = 4

As k₁ = k₂ = k₃ = k₄, the table represent a proportional relationship.

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Two companies are competing for a contract to make the programs for middle school gymnastics meets. Nadia’s Printing charges a $19.99 fee for printing and $0.25 for each program printed. Simone’s Stylish Print charges a $29.99 fee for printing and $0.10 for each program printed. For the most recent meet, Nadia’s Printing charged more than Simone’s Stylish Print.

Which inequality models this situation?

Answers

Answer:

the second answer

Step-by-step explanation:

A hiker descended 450 feet down to an elevation of 2300 feet. Which equation models this scenario?

Answers

The equation models this scenario regarding the hiker is x - 450 = 2300.

Whet is elevation?

Elevation is simply used to illustrate the height above the sea level.

In this case, the hiker descended 450 feet down to an elevation of 2300 feet.

The equation that can model the scenario will be x - 450 = 2300

where x = Initial elevation

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Julia has a mask collection consisting of 255 masks she keeps on the wall and 45 she keeps in a display case. What percentage of Julias mask collection does she keep on her wall?

Answers

We are told that Julia keeps 255 masks on the wall and 45 on the display case, this means in total the number of masks she has is

[tex]255+45=300\text{masks}[/tex]

The number of masks Julia keeps on the wall is 255 masks; therefore, the percentage of fo masks on the wall is

[tex]\frac{255}{300}\times100[/tex][tex]=85.\text{ }[/tex]

Hence, Julia keeps 85% of her mask collection on her wall.

a school nurse can give 25 eye tests in a two-hour period. how long will it take the nurse to give eye tests to all 600 stuents in her school.

Answers

600/25 = 24
24•2 = 48

48 hours for all 600 students

Alvin paddled for 2 hours with a 5-km/h current to reach a campsite. The returntrip against the same current took 7 hours. Find the speed of the boat in stillwater.

Answers

Given:

Alvin paddled for 2 hours with a 5-km/h current to reach a campsite.

Let n be the speed of boat.

Distance is calculated as,

[tex]\begin{gathered} d=rt \\ d=2\mleft(n+5\mright) \end{gathered}[/tex]

The return trip against the same current took 7 hours.

[tex]\begin{gathered} d=rt \\ d=7(n-5) \end{gathered}[/tex]

Equate both the equations,

[tex]\begin{gathered} 2(n+5)=7(n-5) \\ 2n+10=7n-35 \\ 7n-2n=10+35 \\ 5n=45 \\ n=\frac{45}{5} \\ n=9 \end{gathered}[/tex]

Answer: the speed of the boat is 9 mph.

The new figure that is produced in a transformation is called the

Answers

Let:

[tex]\begin{gathered} P=(x1,y1)=(-3,4) \\ P^{\prime}=(x2,y2)=(4,0) \end{gathered}[/tex][tex]\begin{gathered} x1+a=x2 \\ -3+a=4 \\ so\colon \\ a=4+3 \\ a=7 \\ ---- \\ y1+b=y2 \\ 4+b=0 \\ b=-4 \end{gathered}[/tex]

Therefore:

[tex](x,y)\to(x+7,y-4)[/tex]

The slope of line ℓ
is greater than 0 and less than 1. Write an inequality for the slope of a line perpendicular to ℓ
.

Answers

By properties of perpendicular lines and algebra properties, the slope of the line perpendicular to line ℓ is represented by m' > 1.

How to represent an inequality associated with a line perpendicular to another line

Let m be the slope of a line, in accordance with analytic geometry, the slope of line perpendicular to the first one is equal to m' = - 1 / m. The statement can be summarized by the following inequality:

0 < m < 1

Then, by algebra properties for inequalities we find that that slope for the perpendicular line is:

0 < m · m⁻¹ < m⁻¹

0 < 1 < m⁻¹

1 < m⁻¹

- m⁻¹ > 1

- 1 / m > 1

m' > 1

The slope of the line perpendicular to line ℓ is represented by m' > 1.

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Given the polynomial f(x)=x⁴+3x³-3x²-x, which of the following is true?

a) (x+1) is a factor since f(-1)=0.

b) (x-1) is a factor since f(-1)=0.

c) (x+1) is a factor since f(1)=0.

d) (x-1) is a factor since f(1)=0.​

Answers

The answe is b because I did this already

Marilyn wants to use a non-price competitive marketing strategy to gain more customers. Which of the following might she use?

Answers

As Marilyn wants to use a non-price competitive marketing strategy to gain more customers, the strategy that she might use is offering a promotion.

What is a Non-price competition in marketing?

In marketing, the non-price competition refers to a marketing strategy in which a firm tries to distinguish its product or service from competing products on the basis of attributes like design and workmanship.

This competition most often occurs in an imperfectly competitive markets because it exists between producers that sell goods and services at same prices but competes to increase their respective market shares through different non-price measures such as marketing schemes and greater quality.

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1. Is 26 divisible by 2? (1 point)
ONO
O Yes, because 2 +6=8 and 8 is divisible by 2.
O Yes, because the last digit is 6, which is divisible by 2.

Answers

Answer:

Yes, because the last digit is 6, which is divisible by 2.

Step-by-step explanation:

The solution is, Yes, because the last digit is 6, which is divisible by 2.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

26 divisible by 2

i.e. 26/2 = 13

so, it is divisible.

now, we know that,

because the last digit is 6, which is divisible by 2.

Hence, The solution is, Yes, because the last digit is 6, which is divisible by 2.

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Multiply and write in standard form: 10x + 3)(2x - 1) Show all work

Answers

[tex]20x^2+16x+3[/tex]

Explanation

[tex](10x+3)(2x+1)[/tex]

Step 1

apply distributive property

[tex]\begin{gathered} (10x+3)(2x+1)=(10x\cdot2x)+(10x\cdot1)+(3\cdot2x)+(3\cdot1) \\ (10x+3)(2x+1)=20x^2+10x+6x+3 \end{gathered}[/tex]

Step 2

add similar terms and order

[tex]\begin{gathered} (10x+3)(2x+1)=20x^2+10x+6x+3 \\ (10x+3)(2x+1)=20x^2+16x+3 \\ \text{the standard form is} \\ ax^2+bx+c,so \\ ax^2+bx+c\Rightarrow20x^2+16x+3 \end{gathered}[/tex]

so, the answer is

[tex]20x^2+16x+3[/tex]

I hope this helps you

according to the chart, approximately how many times more likely is a 16-year-old driver to crash with two passengers as opposed to with no passengers?

Answers

About twice as likely is a 16-year-old driver to crash with two passengers as opposed to with no passengers.A 16 or 17-year-old driver has a higher risk of dying every mile they drive compared to operating a vehicle alone. increases by 44% when one of the passengers is under the age of 21. while transporting two passengers who are under 21 in doubles.

Are 16 year olds more likely to crash?Teenagers between the ages of 16 and 19 had the highest crash risk of any age group. Teen drivers in this age range have a roughly three times higher risk of being in a fatal collision per mile traveled than drivers who are at least 20 years old.According to CDC research, there are a few main factors that increase the likelihood of young drivers being in auto accidents: insufficient experience Due in part to their inability to identify and avoid road dangers, teen drivers have a fatal crash risk that is three times higher than that of older drivers.

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16-year-old driver to crash with two passengers as opposed to with no passengers is about twice as likely.

Are 16 year old's more likely to crash?Teenagers between the ages of 16 and 19 had the highest crash risk of any age group. Teen drivers in this age range have a roughly three times higher risk of being in a fatal collision per mile traveled than drivers who are at least 20 years old.According to CDC research, there are a few main factors that increase the likelihood of young drivers being in auto accidents: insufficient experience Due in part to their inability to identify and avoid road dangers, teen drivers have a fatal crash risk that is three times higher than that of older drivers.

The complete question is,

According to the chart, approximately how many times more likely is a 16-year-old driver to crash with two passengers as opposed to with no passengers?

just as likely

about twice as likely

about three times more likely

about four times more likely

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Hey!

New question 4 today

Nadia is walking a 3.4-mile trail. She stops to take a break after walking 1.6 miles. Which explains whether the distance Nadia already walked is greater than, less than, or equal to the distance she has left to walk?

!PLEASE!

Don't give wrong answers. (its not very nice)
Only use one of the answer options. (other answers are wrong)

Answers

Based on the distance walked by Nadia when she took her break, the statement that explains the distance already walked is C. The distance Nadia already walked is less because 3.4 - 1.6 = 1.8, and 1.6 < 1.8.

How to find the distance?

Nadia had already walked 1.6 miles by the time she took her break. This means that the distance she was still left to walk in the mile trail was:

= 3.4 - 1.6

= 1.8 miles

The distance that Nadia had already walked was 1.6 miles and yet she was left to walk 1.8 miles.

We can therefore conclude that the distance that Nadia already walked is less than the distance still to be walked.

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The distance Nadia already walked is less because 3.4 - 1.6 = 1.8, and 1.6 < 1.8 which is the correct answer would be an option (C).

What is the distance?

Distance is calculated as the product of a person's movement and time.

Nadia took a rest after covering 1.6 miles of walking.

This indicates that she had the following distance to cover on the mile trail:

⇒ 3.4 - 1.6 = 1.8 miles

Nadia had already walked 1.6 miles, but she still had another 1.8 miles to go.

Therefore, the distance Nadia has already traveled is less than the distance that needs to be covered.

Hence, the correct answer would be an option (C).

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Tom bought 10 cans of Coca cola drink at a cost of USD26.00. How much he will need to pay for 36 cans of Coca Cola?

(20 Points) Working Step ​

Answers

Tom will need to pay $93.60 for 36 cans of Coca-Cola.

Linear Expression

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=3x+2.

The question gives:

Tom bought 10 cans of Coca-cola drink at a cost of USD26.00. Here you can convert this text into an algebraic expression, see:

10x = 26, where x represents the unit cost.

You can find x, solving the previous algebraic expression. Thus,

10x=26

x=26/10

x=2.6

So, 1 can of Coca-Cola costs $2.60.

For knowing the cost total for 36 cans of Coca-Cola, you need to multiply 36 units by the unit cost ($2.6). See below:

36*2.6= $93.60

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a box is constructed out of two different types of metal. the metal for the top and bottom, which are both square, costs 1/ft2 and the metal for teh sides costs 2 ft find the dimensions that minimize cost if the box has a volume of 20 ft 3

Answers

The cost function of the box is C(x) = 2. x² + 160/x and the dimension that lead to the minimum cost is length = ∛40 ft., width = ∛40 ft., height = ∛5 ft.

Let:

x = the bottom's side length

h = the height of the box

Then, the surface area of top and bottom:

A1 = 2. x²

The surface area of vertical sides:

A2 = 4 x. h

The cost function is:

C(x)  = 2. x² . 1 + 4 x. h . 2

C(x) =  2. x² + 8 x. h

The volume of the box is:

V = x² . h

20 = x² . h

h = 20 / x²

Substitute h = 20 / x² into the cost function:

C(x) =  2. x² + 8 x. h

C(x) =  2. x² + 8 x. 20 / x²

C(x) = 2. x² + 160/x

At the minimum point, the derivative of a function is equal to zero. Hence,

C'(x) = 4x -160 / x² = 0

x³ = 40

x = ∛40

Substitute x = ∛40 to find the height:

h = 20 / x²

   = 2 . 10 / (∛4² . ∛10²)

   = ∛10 / ∛2 = ∛5

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Tell whether the given situation is an example of Direct Variation or Inverse Variation. Write DV if it is a Direct Variation and IV for Inverse Variation. (NEED THE ANSWER ASAP)7. The height of a person and his weight

Answers

Given,

The statement is "The height of a person and his weight".

Required/

Identify the statement is inverse or direct variation.

As the height of the person increase then its their weight is also increased.

Similarly,

The height of the person decrease then its their weight is also decreased.

Hence, it is direct variation.

I need help 9th grade math

Answers

Answer:

D

Step-by-step explanation:

Determine the intervals on which the function is increasing, decreasing, and constant.

A) Increasing on (- 5, - 3) and (2, 5) Decreasing on (- 3, 0) Constant on (0, 2) B) Increasing on (- 3, - 1) Decreasing on (- 5, - 2) and (2, 4) Constant on (- 1, 2) C) Increasing on (- 3, 1) ; Decreasing on (- 5, - 3) and (0, 5) ; Constant on (1, 2) D ) Increasing on (- 3, 0) Decreasing on (- 5, - 3) and (2, 5); Constant on (0, 2)

Answers

The intervals on which the function is increasing, decreasing and constant are (-5,-3) and (2,5) on increasing (-3,0) on decreasing and (0,2) on constant.

What is intervals?

An interval in math is the measured in terms of the  numbers. An interval to  includes all the numbers that come between two of  particular numbers. This is  the  range includes all of the  realistic numbers between those two of  numbers. Real numbers are the  any kind of number you can definitely think of.

Sol-by showing in the figure the function is increasing on the (-3,0)

Decreasing on (-5,-3) and (2,5)

Constant on (0,2)


Thus, the correct option is A
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WRITE AN EQUATION TO DESCRIBE THE RELATIONSHIP BETWEEN J AND Mj | 4 | 12 | 20m | 3 | 9 | 15

Answers

First, we can use the points (4,3) and (20,15) to find the slope of the line:

[tex]\begin{gathered} s=\frac{m_2─m_1}{j_2─j_1}=\frac{15─3}{20─4}=\frac{12}{16}=\frac{3}{4} \\ s=\frac{3}{4} \end{gathered}[/tex]

Now we can find the relation function using the point (4,3) and the slope s=3/4

[tex]\begin{gathered} m─m_1=s(j─j_1) \\ \Rightarrow m─3=\frac{3}{4}(j─4)=\frac{3}{4}j─(\frac{12}{4})=\frac{3}{4}j─3 \\ m=\frac{3}{4}j \end{gathered}[/tex]

therefore, the equation to describe the relationship between J and M is m=3/4j

Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour? How much does she earn per hour?

Answers

The proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .

In the question ,

it is given that

Karyn proofreads ⇒15 pages in 2 hours for $40

Karyn in 2 hour proofreads 15 pages ,

So, in 1 hour She will proofread = 15/2= 7.5 pages

and will get $40/2 = $20 for 1 hour ,

hence ,her rate in pages per hour is $20 per 7.5 pages per hour .

In 2 hour Karyn earns $40

So , in 1 hour Karyn will earn $40/2 = $20

hence , she earn $20 per hour .

Therefore , the proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .

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Students in a fitness class each completed a one-mile
Which statements are true about a histogram with one-
walk or run. The list shows the time it took each person
minute increments representing the data? Select three
to complete the mile. Each time is rounded to the
options.
nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
O A histogram will show that the mean time iS
approximately equal to the median time of 7.5
minutes.
O The histogram will have a shape that is left-skewed.
O The histogram will show that the mean time is greater iS
than the median time of 7.4 minutes.
O The shape of the histogram can be approximated with
a normal curve.
0 The histogram will show that most of the data is
centered between 6 minutes and 9 minutes.

Answers

In linear equation, The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

What in mathematics is a linear equation?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).The dependent variable in this scenario is y since it depends on the independent variable, x.

5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5

Since there are 15 values,

           their mean is 111.5/15=7.43 which is very close to the mean.

A)A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes

D)The shape of the histogram can be approximated with a normal curve.

E)The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

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Tara's family raises honey bees and sells the honey at the farmers' market. to get ready for market day, tara fills 28 equal sized jars with honey. she brings a total of 14 cups of honey to sell at the farmers' market. use an equation to find the amount of honey each jar holds. to write a fraction, use a slash ( / ) to separate the numerator and denominator.

Answers

The amount of honey each jar holds is 1/2 cup by jar

To solve this exercise we have to perform a mathematical operation of division with fractions:

Information about the problem:

Jars filled = 28 jarsCups brought = 14 cups

To find the amount of honey each jar holds we state the following equation:

Amount of honey by jar = Cups brought / Jars filled

Amount of honey by jar = 14 cups /28 jar

Simplifying to its minimum expression, we have:

Amount of honey by jar = 7 cups / 14 jar

Amount of honey by jar = 1 cup / 2 jar

Amount of honey by jar = 1/2 cup by jar

What is a fraction?

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

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PLSSSSS
WILL MARK BRAINLIEST!!!
SIMPLEEE
(Yr7)

Answers

Answer:

Step-by-step explanation:

the answer I have given below

kind regards

[tex]3 {}^{2} + ( - 4 {}^{2} ) + 5 {}^{2} [/tex]I'm confused on that can you help me please?

Answers

We have to replace the values in the equation

[tex]x^2+y^2+z^2=(3)^2+(-4)^2+(5)^2=9+16+25=50[/tex]

Since the square of a negative number is a positive number, (-4)^2 = +16

How can I work out the size of angle y?

Answers

Answer:

180 degrees converted is 3.14159  i think

Step-by-step explanation:

Answer:

< y = 17 degrees.

Step-by-step explanation:

x + y = 180 - 112 = 68 (as there are 180 degrees in a triangle)

Also, x = 3y, so substituting for x in the first equation:

3y + y = 68

4y = 68

y = 17.

So,

x = 3*17 = 51,

Select all ratios equivalent to 13:14

52:56. 39:42. 3:4

Answers

Answer:

52:56 and 39:42

Step-by-step explanation:

The ratios equivalent to 13:14 are:

52:56

39:42

3:4 is not equivalent to 13:14 because 3 is not a multiple of 13.

4. the probability that an engine overheats is 0.12. the probability that an engine leaks oil is .08. (a) if overheating and leaking oil are independent, what is the probability that an engine overheats and leaks oil?

Answers

The probability that the engine over heats and leaks is 0.0096

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Probability is a metric used to express the possibility or chance that a particular event will occur. Probabilities can be expressed as fractions from 0 to 1, as well as percentages from 0% to 100%.

Engine leaks oil AND overheats,

hence P(Engine overheats) = P(Engine overheats) X P(Engine leaks oil) = 0.12 X 0.08 = 0.0096

Hence the probability of leaking of engine due to over heating is 0.0096

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2. What is the slope-intercept form of 9x + 3y = 15?
y = 3x - 5
y = 3x + 5
y=-3x - 5
y=-3x+5

Answers

Answer:

y=3x+5

Step-by-step explanation:

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Eighth grade 0.12 Exterior Angle Theorem FMP What is m_1? 1 470 670 Q m21 = Could you explain to me on what to do for this question Discuss briefly, the classification of survey NaCl + _Cal2 Nal + CaCI2 Retype these sentences, making them smoother by changing the parts that are underlined. 1. Due to the fact that I failed my last test, I need to study in order to raise my grade in history. 2. I like ice cream equally as well as I like frozen yogurt bars. 3. If and when the team wins the championship, we will have a celebration. 4. Danny skipped the second grade with the result that he is now the youngest member of our class. AlgebraGraphing Linear EquationsHow Did The Poet Write To His Love?Graph each set of equations on its given coordinate plane:Graph: x-3y-mx+BGraph: x = -2X-2y=-2xGraph: y=-3x - 4Graph: x=-4Graph: y =Graph: x=-5Graph: x = -5y=x-sy = 3x - 4y = 4y1yosy-X + 3-- Isaiah is a plumber. One day he receives a house call from a potential customer in a differentcity. The distance on a map between his home and the customer's home is 8 inches. What isthe actual distance between Isaiah's home and the customer's home if the scale of the map is1 inch = 1 mile? Evaluate the expression when x= -1/4 and y= 31. 2xyI don't understand his question. Solve the system of equations below for x, y, and z. (4x - 2y + 3z = 9 x - 2y = -3 2x + 3y = 1 A cosmic-ray electron moves at 7. 5 10^6 m/s perpendicular to earths magnetic field at an altitude where the field strength is 1. 0 10^-5t. What is the radius of the circular path the electron follows?. please let me know of question 4 is correct which is not true30 > 1030 < 1010 > 3010 < 30 your boss has asked you what type of monitor he should use in his new office, which has a wall of windows. he is concerned there will be considerable glare. which gives less glare, an led monitor or an oled monitor? you have a table that shows a linear relationship, when can you read the value for b,in y = mx + rectly from the table without drawing a graph or doing any calculations? Complete the explanati there is a point ( (select) vy) in the table, then y = b because at the y-Intercept the value of x select) (select) 0 y A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, the principal plays the following game: She asks the first student to go and open all the lockers. She then asks the second student to go and close all the even-numbered lockers. The third student is asked to check every third locker. If it is open, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continue this game. In general, the nth student checks every nth locker. If the locker is open, the student closes it; if it is closed, the student opens it. After all the students have taken their turn, some of the lockers are open and some are closed. Write a C++ program that prompts the user to enter the number of lockers in a school. After the game is over, the program outputs the number of lockers that are opened. Finding Out What the Customer NeedsThe next time you are in a store where salespeople help you make purchasing decisions- a shoe store, for instance-pay careful attention to the conversations you have during that visit.ActivityWhat information does the salesperson casually collect from you? And how is it used? Take notes about the conversations and the lines you hear the most often. Include your observations about nonverbal reactions. Write a short dialog or script based on your notes and observations. (-7i)(3+3i)(a) Write the trigonometric forms of the complex numbers. (Let0 theta < 2pi.)(-7i) =(3+31) =(b) Perform the indicated operation using the trigonometric forms. (Let0 theta< 2pi.)(c) Perform the indicated operation using the standard forms, and check your result with that of part (b). The average change in a company's sales income was $9 million over 3 moths. Determine the average change in sales income per month. In line 70 Why does Mercutio react as he does to Romeos interaction with Tybalt? Nancy is the proud owner of a new car. She paid $1,500 upfront and took out a loan for the rest of the amount. The interest rate on the loan is 5%. If the total cost of buying the car (including the interest Nancy owes) is more than $16,213.02, how much money did Nancy borrow?.1st Question: Assume that x represents the amount of money Nancy borrowed. Write an expression that represents the amount borrowed (the principal) plus the interest owed on that amount. x^2+6x+? complete the square