1 What is the cost to get into a Green Cab?
2 How much does it cost per mile for a Green Cab?
3 What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?

1 What Is The Cost To Get Into A Green Cab?2 How Much Does It Cost Per Mile For A Green Cab? 3 What Is

Answers

Answer 1

1. $5

2. $2 for each mile

3.equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Caby=x+5

What is an explanation of the slope-intercept form?

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.

1. The graph shows that the Green Cab will cost you $5 for a distance of 0 miles.

2. According to the graph, $1 is spent for every mile traveled.

3. Because y increases by the same amount for every 1 increase in x, the slope is 1.

The slope intercept form is y=mx+b.

m=slope

intercept b=y

Since we are aware that the slope is 1, we can enter it.

y=1x+b

=y=x+b

By looking at the graph and calculating what y equals when x is 0, we may get the y intercept.

It is the y intercept (0,5)

So that the equation is in slope intercept form, we may enter that.

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Related Questions

Find the cross-sectional area

Answers

Answer:

at middle of a,b,c

Step-by-step explanation:

........

HELP SOLVE FOR 24 points

Answers

Answer:

Slope = -1/6

Step-by-step explanation:

Answer:

the correct one is Slope = -1/6

The points (5, 4), (3, 2), and (-1, -2) all lie on the same line. Which is another
point that lies on the same line?
(-4,-5)
(7,5)
(-3, -3)
(0, 1)

Answers

Another point that lies on the same line is (-4,-5).

Given:

The points (5, 4), (3, 2), and (-1, -2) all lie on the same line.

if lines are on the same line there slopes are equal:

(5,4) and (3,2)

slope m = 2-4 / 3-5

= -2/-2

= 2/2

m = 1

The point that lies on the same line must have slope m = 1 with any given point.

suppose (5,4) and (-4,-5)

slope m = -5-4 / -4-5

= -9/-9

= 9/9

= 1.

Hence (-4,-5) is another point on the same line.

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A small pizza has a diameter of 8 inches.

(a) What is the size of the outer ring of the pizza?

(b) What is the amount of cheese covering the entire top of the pizza?

Answers

The size of the outer ring of the pizza = 25.12 inches

The amount of cheese covering the entire top of the pizza =  50.24 sq inches.

A small pizza has a diameter of 8 inches.

A Pizza has a circular base structure whose diameter, d = 8 inches.

Radius of the pizza, r = d/2 = 8/2 = 4 inches.

The size of the outer ring of the pizza means we talk about the circumference of the pizza.

The size of the outer ring of the pizza = 2πr

If we take the value π = 3.14 ( round off figure)

Then  the size of the outer ring of the pizza = 2×3.14×4=25.12 inches.

The amount of cheese covering the entire top of the pizza means we talk about entire top area of the pizza.

The amount of cheese covering the entire top of the pizza = π × r^2

= 3.14 ×4×4

The amount of cheese covering the entire top of the pizza =  50.24 sq inches.

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Determine the value of x in the equation.

Four fifths times the quantity x plus 9 end quantity minus one fifth times x equals three fifths times the quantity x plus 12 end quantity.

A). No solution
B). Infinite solutions
C). x = 3
D). x = 1

Answers

Answer:

B) Infinite solutions

Step-by-step explanation:

[tex] \frac{4}{5} (x + 9) - \frac{1}{5} x = \frac{3}{5} (x + 12)[/tex]

[tex] \frac{4}{5} x + \frac{36}{5} - \frac{1}{5} x = \frac{3}{5} x + \frac{36}{5} [/tex]

[tex] \frac{3}{5} x = \frac{3}{5} x[/tex]

We have infinite solutions.

Please help me with this question

Answers

Answer:

1.5 cm

Step-by-step explanation:

Triangles WTY and UTV are similar. Segment WT corresponds to UT and segment YT corresponds to VT. Thus we can create an equation knowing that the ratio of WT to UT must equal to the ratio of YT to VT.

WT = 7.5 cm

UT = ?

YT = 15 cm

VT = 12 cm

WT / UT = YT / VT

7.5 / UT = 15 / 12

UT = 6

WT = WU + UT

7.5 = WU + 6

WU = 1.5

You estimate that there are 42 marbles in a jar. The actual amount is 67 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.

Answers

If  the actual amount is 67 marbles.  the percent error is 37%.

How to find the percent error?

Using this formula to find the percent error

Percent error =   Actual value -Estimated value/ Estimated value

Where:

Actual value = 67

Estimated value = 42

Let plug in the formula

Percent error = 67 - 42 /67

Percent error = 25/67 × 100

Percent error = 37%

Therefore the percent error is 37%.

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A cuboid has sides xcm, 5cm and 7 cm. The total surface area of the cuboid is 142 cm². Form an equation in terms of x. Solve the equation to find x.​

Answers

The equation is: 2(5x+7*5+7x) = 142 The value of x is 3.

We know that the surface area of cuboid with sides L, B and H is given by,

S = 2 (LB + BH + LH)

Given that the sides of cuboid are x cm, 5 cm and 7 cm.

So L = x cm and B = 5 cm and H = 7 cm.

Given that the surface area of the cuboid is 142 square cm.

According to information the suitable equation for this is:

2(5x+7*5+7x) = 142

Now solving the equation we get,

5x+35+7x = 142/2 = 71

12x+35 = 71

12x = 71-35

12x = 36

x = 36/12

x = 3

Hence the value of x is 3 cm.

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question is in the pic

Answers

The ordered pair that shows the dilation of the square ABCD, located at A(-10, -2), B(-5, -2), C(-5, -7), and D(-10, -7), by a scale factor of 5 about the origin is option B

B. A'(-50, -10), B'(-25, -10), C'(-25, -35), and D'(-50, -35)

What is a dilation transformation?

A dilation transformation is in which the sizes of the sides of the pre image or original figure is changes proportionately to get the image.

The vertex of the preimage ABCD are; A(-10, -2), B(-5, -2), C(-5, -7), and D(-10, -7)

A dilation by a scale factor of 5 is found using the formula;

(x, y) Dilation by scale factor of 5 about the origin ⇒ (5·x, 5·y)

Therefore, the coordinates of the square ABCD following a dilation by a scale factor of 5 is therefore;

A'(5 × -10, 5 × -2), B'(5 × -5, 5 × -2), C'(5 × -5, 5 × -7), and D'(5 × -10, 5 × -7)

Which gives;

A'(-50, -10), B'(-25, -10), C'(-25, -35), and D'(-50, -35)

Checking the lengths of the sides gives;

AB = 5

A'B' = -25 - (-50) = 25

BC = 5

B'C' = -10 - (-30) = 25

CD = 5

C'D' = -25 - (-50) = 25

AD = 5

A'D' = -10 - (-35) = 25

Therefore, the lengths of the sides of A'B'C'D' are 5 times the lengths of the sides of the square ABCD

The correct option is therefore option B

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pleaseeeeeee explain

Answers

The fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that, the ratio of battleships to destroyers in the navy is 10:15.

battleships : destroyers = 10:15

The fraction of the total number of boats is the number of destroyers is,

=15/10+15

=15/25

The ratio of battleships to destroyers in the navy is 10:15. The number of battleships is 0.56 times the number of destroyers.

Thus, the fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.

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Finance Desiree starts a savings account with $125.00. Every month, she
deposits $53.50.
a. Complete the table to model the situation.

Answers

The given table is completed.

Given,

Finance Desiree starts a savings account with $125.00. Every month, she

deposits $53.50.

we are asked to complete the table to model the situation.

Month is represented by x.

Amount in savings, be y.

hence we frame:

x = 0, y = $125

x = 1, y = $(125+53.5) = $178.50

x = 2, y = $(178.50+53.5) = $232

x = 3, y = $(232+53.5) = $285.50

x = 4, y = $(285.50+53.5) = $339

hence we complete the table for 5 months,

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PLS HELP

Find the missing term

b) 3:7= : __ 42

Answers

The missing term is 18.

How to find denominator ?The lower number in a fraction is known as the denominator. It demonstrates the equal division of something into portions. Four would be the denominator, for instance, if the fraction was 3/4.Making ensuring your denominators are the same is always the first step when adding or subtracting fractions. This implies that you must identify the common factor. The numerators may then be easily added or subtracted after you have determined the common denominator.Equations with identical denominators are simple to solve because you don't need to identify their shared denominator. The lowest common denominator is known. For instance: 1/4 + 2/4 = 3/4The common denominator in this equation is 4, thus. As a result, you may add the numerators together and place 4 at the bottom of the fraction. You now have 3/4.

From given details :        3:7= : __ 42

Here's a little tip for you. Any number

           can be converted to fraction if you

           use 1  as the denominator:                =   3 / 7  =  42 / 1

                                                                       = 3 x 42  /  7 x 1  =  126 / 7

                                                                      =   18

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there are 200 sixth graders and 170 of them want to take geometry and 175 want to take algebra what is the least number of people who want to take both geomtry and algebra

Answers

The least number of people who want to take both geometry and algebra is 145

How to find the least number of people that would like to take geometry and algebra

The inclusion-exclusion principle is a counting method that generalizes the well-known approach to determining the number of members in the union of two

The inclusion - exclusion principle is used here

let the number that will take both algebra and geometry be x

200 = 170 - x + 175 - x + x

200 = 345 - x

x = 354 - 200

x = 145

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The least number of people who want to take both geometry and algebra is 145 graders

What is intersection of set?

The intersection of sets can be denoted using the symbol '∩'. the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.

The number of graders that want to take geometry is 170

The number of graders that want to take algebra is 175

A ∩ G= n(A) + n(G) -( AUB)

=175+170-200

= 345-200

= 145

Therefore the least number of people that will want to do both geometry and algebra is 145

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Let us consider the points with an integer y-coordinate from (-1) to 1 and with an integer x-coordinate from (-20) to 20. How many lines are there parallel to the line y=2x and passing through any of these points? PLEASE HELP I NEED THE ANSWER!!!!

Answers

There are infinite linear functions that are parallel to y = 2x passing through these two points.

What is a linear function?

The slope-intercept representation of a linear function is presented by the equation shown as follows:

y = mx + b

The coefficients of the the linear function, along with their meaning, are described as follows:

m is the slope of the function, representing the unit rate of change of the output y in relation to the input x.b is the y-intercept of the function, which is value of y at which the linear function crosses the y-axis.

What defines two parallel linear functions is that they have the same slope.

The slope of the line y = 2x is of 2, hence we will have an infinity number of linear functions in the following format:

y = 2x + b.

In which b is the y-intercept of the function.

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Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of Sprite to make 12 cups. He pays $3.00 for a 2-liter container of Sprite and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.

Answers

The $3.00 for 2 liters of Sprite and $16 for 1 gallon of raspberry sorbet indicates that the minimum amount Rafael should sell a cup of punch.

The minimum price at which Rafael should sell a cup of punch to make a profit of $10 is approximately $2.42

What is a profit?

A profit is a financial gain from the revenue that exceeds the sum of expenses and the taxes.

The ingredients required to make 12 cups of punch are;

1 gallon of raspberry and 2 liters of Sprite

Amount he pays for 2-liter of Sprite = $3.00

Amount paid for a quart of sorbet = $4.00

The minimum amount to be charged so as to make a $10 profit is found as follows;

4 quarts is equivalent to one gallon

Therefore;

1 quart of sorbet costs $4

4 quart of sorbet = 1 gallon of sorbet costs 4 × $4 = $16

The cost of 2-liters of Sprite = $3.00

The cost of 12 cups of punch is therefore;

$3 + $16 = $19

The revenue when a profit of $10 is made is therefore;

Revenue = $19 + $10 = $29

The selling price per cup, p, is therefore;

p = $29 ÷ 12  $2.42

The price per cup to make a profit of $10 is approximately $2.42≈

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In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is.

Answers

The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

In the question ,

it is given that ,

number of items in the sample = 61 items

the mean of the sample is given as 23 ,

we have to find the degree of freedom(df) ,

the degree of freedom(df) can be solved using the formula

degree of freedom(df)  [tex]=[/tex] (number of observations) - 1

Substituting the values in the formula ,

we get ,

degree of freedom = 61 - 1

= 60

Therefore , The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

The given question is incomplete , the complete question is

In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is ?

(a) 22

(b) 23

(c) 60

(d) 61

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Write the quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1.

Answers

The quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.

We know that the standard form of a quadratic equation is given by;

y = f(x) = ax² + bx + c = 0

We are given:

The roots of the quadratic equation are -3 and -1.

The leading coefficient of the quadratic equation is 1.

We need to find the quadratic equation.

The roots of the quadratic equation are -3 and -1.

So, (x + 3) and (x + 1) will be the factors.

Since the leading coefficient of the quadratic equation is 1.

So, the quadratic equation is given by;

1 * (x + 3) * (x + 1) = 0

x (x + 1) + 3 (x + 1) = 0

x^2 + x + 3x + 3 = 0

x^2 + 4x + 3 = 0

So, the required quadratic equation is x^2 + 4x + 3 = 0.

Thus, the quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.

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Help me asap please!! Ill mark brainliest!! I really need to get this right! ty:))

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

slope form is y=mx+b

m-slope

b- y intercept (when x is 0)

To find slope we use y2-y1/x2-x1

4-3/4-2

1/2 is the slope

Now we know every time X goes up 1 y goes up 1/2 so we subtract back to find y intercept

(1,2.5)

(0,2)

Y intercept is 2

Hopes this helps please mark brainliest

a bag contains 11 counters.
5 of the counters are white.
a counter is taken at random from the bag and is not replaced.
a 2nd counter is taken out of the bag by random.
calc probability that only one of the counters is white.

Answers

The probability that only one of the counters is white is the fraction 6/11 or 0.55 considering that the first take is without replacement

Probability of an event without replacement

The probability for an event without replacement implies that once an item is taken, then we do not replace it back to the sample space before taking a second item.

Given that there are 11 counters in the bag, with 5 of them being white;

The probability of taking a white counter = 5/11

The probability of not taking a white counter = 6/11

The probability of taking a white counter first without replacement and not taking it the second time = (6/11) × (5/10)

The probability of not taking a white counter first without replacement and taking it the second time = (5/11) × (6/10)

The probability that only one of the counters is white = (6/11) × (5/10) + (5/11) × (6/10)

The probability that only one of the counters is white = (30/110) + (30/110)

Therefore, probability that only one of the counters is white = 6/11 [by simplification]

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Consider the expression 1/3bwh
Complete 2 of the description parts of the expression:
1. The entire expression is the product of ____.
2. In this context, 1/3 is a ____.

Answers

1. The entire expression is the product of 4 factors.

2. In this context, 1/3 is a coefficient.

What are factors?

Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors simply refers to numbers which can be multiplied together to get another number.

What is a coefficient?

In Mathematics, a coefficient can be defined as a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.

Based on the given expression 1/3bwh, we can logically deduce that there are four (4) factors and these include the following:

1/3bwh

In conclusion, 1/3 is considered as a coefficient of bwh.

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What is the answer to the equation:
2x+10=3x-5

Answers

Answer:

x=15

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

See image below

Your restaurant has a gross profit of $274,232, administrative expenses of $29,147 and marketing expenses of 32,645. What is the income from operations of your business?.

Answers

The income from operations of your business is $2,12,440.

Given:

Your restaurant has a gross profit of $274,232, administrative expenses of $29,147 and marketing expenses of 32,645.

Total expenses = administrative + marketing expenses

= $29,147 + $32,645

= $61792

Income = gross profit - total expenses

= 274232 - 61792

= $2,12,440

Therefore the income from operations of your business is $2,12,440.

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I need assistance of Geometry, please help. (Transformation, Triangles, and Quadrilaterals.)

Answers

Answer: oh ok

Step-by-step explanation:

well  you know just ask your mom

I don’t know the answer

At an electronics store, a $165 television is marked up 110%. Trevor purchases the tv and must pay 6. 5% sales tax. What is the total cost of this television at the store? a. $193. 30 b. $299. 48 c. $369. 02 d. $571. 73.

Answers

The total cost of this television at the store is $193.30

Given,

A $165 television has indeed been increased 110% in price at an electronics store. When Trevor buys the TV, he is bound to pay 6.5% in sales tax.

A $165 television has been increased 110% in price at an electronics store.

When Trevor buys the TV, a 6.5% sales tax is due.

Consequently, this television will cost in the store a total of

The total cost of the TV is equal to 165 dollars multiplied by 1.10 and 1.065.

⇒ $165*1.10*1.065

  = $193.30

TVs cost a total of $193.30.

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What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7

Answers

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

What is a quadratic equation?

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

pls help me with annoying sparx maths questions
and ill mark u as brainiest

Answers

I think its 54° because if you add all the other angles up you get 306 and there’s 360° in a quadratic shape so
360-306=54

Which expressions are equivalent to g16? Check all that apply.

Answers

Answer:

I think you mean 6^16

if so, the right answers are

the 3rd one (6^-4)^-4

the 4th one (6^-2)^-8

last answer (6^8)^2

Step-by-step explanation:

you have to apply the Powers of a Powers Property:

(a^n)^m=a^(nm), basically you're multiplying the exponents (the powers)

Hope this helps.

A scientist uses a submarine to study ocean life. . She begins 198 feet below sea level. After traveling down for 15 seconds, she's 316 feet below sea level. 0 Find the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth.​

Answers

The rate of change in the submarine's elevation is given by 7.87 feet per second approximately.

Given that the initial depth of the submarine = 198 feet

The final depth of the submarine = 316 feet.

The submarine takes 15 seconds to reach the final depth to initial depth.

The elevation of the submarine = (316-198) = 118 feet

So the rate of change = 118/15 = 7.87 feet/second (approximately)

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Lesson Performance Task
The image shows the angles formed by a pair of scissors. When the
scissors are closed, m<1= 0°. As the scissors are opened, the measures
of all four angles change in relation to each other. Describe how the
measures change as m<1 increases from 0° to 180°.

Answers

Answer: Angle 3 is a vertical angle of angle 1 and will always be identical to what angle 1 is.

Angle 2 and angle 4 are supplementary angles to angle 1 and will always be the difference between 180 and what angle 1 is.

For example, if angle 1 were 45 degrees, angle 3 would also be 45 degrees, and angles 2 and 4 would be 180-45 = 135 degrees.

Step-by-step explanation:

The test statistic of z = 1.49 is obtained when testing the claim that p > 0.8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject H0 or should we fail to reject H0?

Answers

By using right tailed test the following results are obtained

a) The test is a right tailed test

b) P value = 0.0681

c) We fail to reject the null hypothesis

What is right tailed test?

Suppose there is a null hypothesis. If the alternate hypothesis claims that the true value of the parameter is greater than the null hypothesis, then the test used is called right tailed test.

a) Since p > 0.8, right tailed test is used

b) The corrosponding z is z = 1.49

P value = p(z > 1.49)

            = 1 - p(z [tex]\leq[/tex] 1.49)

            = 1 - 0.9319

            = 0.0681

c) 0.0681 is greater than a = 0.05

So we fail to reject the null hypothesis [tex]H_0[/tex]

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energon inc., a beer manufacturer, distributes free water bottles in areas where there is water scarcity. moreover, the company sponsors several local events such as concerts, theatre productions, and sporting events. in this scenario, energon inc. is engaging in . Plants are adapted to life on land. Can you identify the function of each adaptation? Pollen, Egg, Vascular System, Cuticle,Leaves, Lignin, Shoot System what major component of mucins directly provides a polyanionic surface to which defensins and siga bind? . a user needs to check out a laptop. what would be the general first step to take? a. request approval from appropriate source. b. update device information for tracking. c. prepare the device for check out. d. deploy the device to the user Geometry Question help? Explain how you can tell if the data in a table is a functionuse the words input and output in your response please if you don't know this font look it up and copy the and past it they will look it up and see if you copied and pasted it leotoring29Due Dec 6 by 11:59pmQuestion 13Ch. 9 Quadratics Homework (Copy)Score: 12/17 12/17 answeredThe width or short side isThe length or long side isPoints 20Submit QuestionThe length of a rectangle is 6 feet longer than it is wide. If each side is increased 6 feet, then the area ismultiplied by 2. What was the size of the original rectangle? 4.- Describe plantation farming and give some examples of where plantation farming takes place,and with what types of foods. Is plantation farming good for the people and the environment.What is our history here in the U.S. with plantations? In a service business with a highly variable demand, the general approach to aggregate scheduling does not involve. HELP ASPPP SHOW UR WORK PLEASE According to the authors, a __________ is a type of group with interdependent relationships among people with different and complementary abilities and a strong sense of identity. Flannery OConnor.What are good country people, according to the story? Which of the following could be the focus of a recall in Oklahoma?A.governorB.lieutenant governor C.mayorD.voter How to isolate Y when y - 3 = 2/5 (x+4) is the problem In pavlovs classical conditioning experiments, the neutral stimulus that comes to elicit a conditioned response is known as the. Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y 3)2 = 36 x2 + (y 5)2 = 6 (x 4) + y = 36 (x + 6) + y = 144 x2 + (y + 8)2 = 36 in the fe-fe3c system, there are a number of important temperatures and compositions to remember. what is the temperature and composition that defines the pearlite transformation? Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t/2, (b) find the critical value z/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90 %, is not known, and the histogram of 52 player salaries (in thousands of dollars) of football players on a team is as shown. pleace is my testing solve for each proportion