1.ABCD is a rhombus whose one side is 13cm, OA = 12cm and OD = 5cm. Write the property used.
a) Find its perimeter. b) Find the length of OC and DB.

Answers

Answer 1

Answer:the legth is 40

Step-by-step explanation:


Related Questions

Question

Solve for p.

​2(p+1)=18​


Responses

p = 8
p, = 8
p = 8.5
p, = 8.5
p = 9.5
p, = 9.5
p = 10

Answers

Answer:

p=8

Step-by-step explanation:

[tex]2(p+1)=18\\\frac{2(p+1)}{2}=\frac{18}{2}\\p+1=9\\p+1-1=9-1\\p=8[/tex]

Answer:P=8

Step-by-step explanation:

I TOOK THE TEST

Make your angle measures correct to the nearest degree and side measures to 1 decimal place.

Answers

The value of angle Z= 39°, line XY= 21.9 and line XZ= 34.7

What is a right-angled triangle?

A right-angled triangle is a type of triangle which as one of it's sides equal to 90°. Since angle Y is 90°, then ∆ABC is a right-angled triangle

angle Z = 180-(90+51)

angle Z= 180- 141= 39°

using trigonometry ratio

tan51 = 27/XY

XY= 27/tan51

XY= 27/1.2

XY= 21.9

using Pythagoras theorem

XZ²= 21.9²+27²

XZ²= 1208.6

XZ= √1208.6

XZ= 34.7

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The length of a
rectangular garden is
three feet less than twice
its width. If the perimeter
of the garden is 42 feet,
what is its length?
Systems word problems

Answers

Answer:

The length will be 13 feet.

Step-by-step explanation:

Let the width be represented by w.

Based on the information given, the length will be:

= (2 × w) - 3

= 2w - 3

Therefore, the perimeter will be:

2(w) + 2(2w - 3) = 42

2w + 4w - 6 = 42

6w = 42 + 6

6w = 48

w = 48/6

w = 8

Therefore, the length will be:

L = 2w - 3

L = 2(8) - 3

L = 16 - 3

L = 13 feet

The length is 13 feet.

Answer:

The length will be 13 feet.

Step-by-step explanation:

Let the width be represented by w.

Based on the information given, the length will be:

= (2 × w) - 3

= 2w - 3

Therefore, the perimeter will be:

2(w) + 2(2w - 3) = 42

2w + 4w - 6 = 42

6w = 42 + 6

6w = 48

w = 48/6

w = 8

Therefore, the length will be:

L = 2w - 3

L = 2(8) - 3

L = 16 - 3

L = 13 feet

The length is 13 feet.

5. What is the value of 6(x-2)(x-3) + 4(x-2)(x - 5) when x = -3?

Answers

Answer:

340

Step-by-step explanation:

[tex]\tt 6(x-2)(x-3) + 4(x-2)(x - 5)[/tex]

When, x = -3

----------------------------------------------

To find the value of 6(x-2)(x-3) + 4(x-2)(x - 5), we need to substitute x with -3.

[tex]\tt 6\left(-3-2\right)\left(-3-3\right)+4\left(-3-2\right)\left(-3-5\right)[/tex]

[tex]\tt (6)(-5)(-3-3)+4(-3-2)(-3-5)[/tex]

[tex]\tt -30\left(-6\right)+4\left(-3-2\right)\left(-3-5\right)[/tex]

[tex]\tt -30\left(-6\right)+4\left(-5\right)\left(-3-5\right)[/tex]

[tex]\sf -30\left(-6\right)+4\left(-5\right)\left(-8\right)[/tex]

[tex]\tt 180+4\left(-5\right)\left(-8\right)[/tex]

[tex]\tt 180-\left(-160\right)[/tex]

[tex]\tt 180-\left(-160\right)[/tex]

[tex]\tt =340[/tex]

Therefore, the value of 6(x-2)(x-3) + 4(x-2)(x - 5) is 340!

____________________

Hope this helps!

Have a great day!

An airline estimates that the probability that a random call to their reservation phone line result in a reservation being made is 0.31. You want to estimate the probability that exactly one of the next four calls result in a reservation being made. Describe the design of a simulation to estimate this probability. Explain clearly how you will use the partial table of random digits below to carry out your simulation.

Answers

The probability that exactly one of the next four calls results in a reservation being made is 40.75%

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

A random call to their reservation phone line results in a reservation being made is 0.31

Now, we find

Exactly one call gets resevervation = 4 * (1-0.31)3(0.31)

= 0.4075 = 40.75%

Now we can simulate an experiment by using random numbers from 0 to 100,000 as probability values between 0 and 31,000 are p to reservation otherwise they don't.

Hence, the probability that exactly one of the next four calls results in a reservation being made is 40.75%

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If you roll a standard six-sided die a thousand times and add up the total number of pips, which approximate sum could you reasonably expect to end with?

Answers

1) 16.7% probability of rolling 10+.

2) 50% probability an odd number is rolled.

3) 7 is the most likely total result.

These are all the possible outcomes:

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

There are 36 possible outcomes

1) what is the probability of rolling 10+?

There are 6 possible outcomes in which 10+ is rolled:

(4,6), (5,5),(5,6), (6,4), (6,5),(6,6).

So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.

2) what is the probability of rolling an odd number?

There are 18 possible outcomes in which an odd number is rolled.

So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.

3) what is the total that is most likely to result?

There are 6 outcomes in which 7 is rolled.

So 7 is the most likely total result.

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It cost Juan $7.30 to send 73 text messages. How many text messages did he send if he spent $10.20?

Answers

Answer:

102

Step-by-step explanation:

First, divide 7.30 by 73 to find how much 1 text message costs. We get 0.1. Next, divide 10.20 by 0.1, which gives us the final answer of 102.

Answer:

99 text messages

Step-by-step explanation:

        $7.50 = 73

           ÷73    ÷73

         ---------------------

amount to  =   $0.102739726

send one text

0.102739726x = $10.20

÷0.102739726    ÷0.102739726

-------------------------------------------------

x ≈ 99.28

I hope this helps!

If X is the midpoint of TV, TV bisects RS, and TR is parallel to VS, state five pairs of objects (segments or angles) that must be congruent and give a reason why for each pair.

Answers

According to the Alternate Interior Angles Theorem, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.

Alternate Interior Angle Theorem?According to the Alternate Interior Angles Theorem, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.Is it true or false that different interior angles are always congruent? Although untrue, this assertion is a typical misunderstanding. Keep in mind that when the lines are parallel, alternate inner angles are congruent.Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposing sides of the transversal when two lines are crossed by another line (referred to as the Transversal). These two pairs of alternate interior angles in this illustration are c and f.      

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Factor the expression completely over the complex numbers. Y^4+14y^2+49

the answer is ((y+i√7)(y-i√7))^2

Am I right

Answers

Factors over the complex numbers for the given expression y⁴ + 14y² + 49 is equal to [ ( y + i√7) (y - i√7 ) ]² .

As given in the question,

Given expression is :

y⁴ + 14y² + 49

Simplify the given expression to get the factors of it , we get ,

y⁴ + 14y² + 49

= y⁴ + 2 ( 7 )y² + ( 7 )²

= ( y² + 7 )²

Now convert the factors into complex numbers ,

= [ y² - (-1)(√7)²]²

We know that ( -1 ) = i²

= [ y² - ( i√7)² ]²

= [ ( y - i√7 )( y + i√7) ]²

Therefore, the complex numbers factors of the given expression is equal to [ ( y - i√7 )( y + i√7) ]².

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Graph the solution to the inequality on the number line.

Answers

Solution to the inequality on the number line is y < 4 and y > −4.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

When resolving an inequality, you can do one of the following:

• Add the same amount to each side;

• Subtract the same amount from each side;

• Multiply or divide each side by the same positive amount.

You must flip the inequality symbol if you multiply or divide each side by a negative number.

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

|y| < 4

Solve Absolute Value.

|y| < 4

We know y < 4 and y > −4

y < 4  (Condition 1)

y > −4  (Condition 2)

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observations 1 2 3 4 5 6 num. of defects 10 18 13 15 9 12the number of runs up and down for the preceding data is:

Answers

The number of runs up and runs down for the preceding data is 5.

What is runs up ?

Runs up refers to the number of observations that are higher than the number of observations before them.

What is runs down ?

Runs down refers to the number of observations that are lower than the number of observations before them.

As 2nd observation is higher than 1st observation, 4th observation is higher than 3rd observation and 6th observation is also higher than 5th observation so 2nd, 4th,6th observation should be included in runs up.

Therefore,

Runs up = 2nd + 4th + 6th observations

             = 3

As 3rd observation is lower than 2nd observation,5th observation is also lower than 4th observation so 3rd,5th observation should be included in the runs down

Therefore,

Runs down= 3rd +5th observations

                 =2

Therefore,

Runs up + Runs down  =3+2

                                        =5

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Simplify. Rewrite the expression in the form y^n. y^5/y^3= ​

Answers

Answer:

y^2

Step-by-step explanation:

a^m/a^n = a^(m - n)

y^5/y^3 = y^2

Givenf(x)=4x^2 - 1, and g(x) = 2x - 1, find g(f(2)).
Given f(x) = x^2 and g(x)=x - 1, write each composite function.State the domain of each:2.f(g(x)) 3.g(f(x))

Answers

The value of the function g(f(2)) is 29 and 2.f(g(x)) is (x - 1)(2x - 2).

What is a composite function?

When the output of one function is given to the input of another function they are called composite functions.In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).

Given, f(x) = 4x² - 1. and g(x) = 2x - 1.

Now, g(f(2)) is the output of f(2) is the input of g(x).

∴ f(2) = 4(2)² - 1.

f(2) = 15.

Now, g(f(2)) = 2(15) - 1.

g(f(2)) = 29.

Also given,

f(x) = x² and g(x) = x - 1.

Now, 2.f(g(x)).

2.f(g(x)) = 2.f(x- 1).

2.f(g(x)) = 2(x - 1)².

2.f(g(x)) = 2(x² - 2x + 1).

2.f(g(x)) = 2x² - 4x + 2.

2.f(g(x)) = 2x² - 2x - 2x + 2.

2.f(g(x)) = 2x(x - 1) - 2(x - 1).

2.f(g(x)) = (x - 1)(2x - 2).

There is no restriction to the domain of this quadratic function.

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1. Write two equivalent expressions to represent the area of this rectangle.


2. Write two equivalent expressions to represent the perimeter of this rectangle.


(pls add an explanation)

Answers

The perimeter of a rectangle is 2x+6 units and the area of a rectangle is 5x-10 square units.

Given that, the breadth of a rectangle =5 units and the length of a rectangle =(x-2) units.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Here, perimeter =2(x-2+5)

= 2(x+3)

= 2x+6 units

Area of a rectangle =length × width

= (x-2) × 5

= 5x-10 square units

Therefore, the perimeter of a rectangle is 2x+6 units and the area of a rectangle is 5x-10 square units.

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a football team lost the same number of yards on each of three consecutive plays what is the total change in yards from where the team started

Answers

Answer:

-3x, where x is the number of yards lost on the first play.

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The function f ( x ) = x 2 . The graph of g ( x ) is f ( x ) translated to the right 3 units and down 3 units. What is the function rule for g ( x ) ?

Answers

The function rule for g(x) is g(x) = (x - 3)² - 3

How to determine the transformation of g(x) from the parent function?

From the question, we have the following function

f(x) = x²

Also, we have the following transformation statements:

f(x) is translated to the right 3 unitsf(x) is translated down 3 units

First, we have: f(x) is translated to the right 3 units

This means that

g(x) = f(x - 3)

So, we have

g(x) = (x - 3)²

Next, we have: f(x) is translated down 3 units

This means that

g(x) = f(x - 3) - 3

So, we have

g(x) = (x - 3)² - 3

Hence, the transformation is g(x) = (x - 3)² - 3

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One morning after sunrise, Kimberly was standing facing a pole. The shadow of the pole fell exactly to her right. Which direction was she facing? a. North b. South c. West d. East

Answers

South direction was she facing.

What does the word "direction" mean?

Direction can refer to the way something moves, the way you must go to get somewhere, the way something is beginning to take shape, or the direction you are facing.

                                  When you turn right rather than left, that is an illustration of direction.

Which forms of direction are there?

There are only four genuine directions north, south, east, and west. Northeast, Southeast, Southwest, and Northwest are the directions on the compass that are located midway between these cardinal points.            

                                                 These transitional locations are referred to as intermediate directions. Maps and globes only display east-west and north-south lines.

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A shopping mall has 226 stores on 4 levels. Each level of the mall has about the same number of stores. Which of the following are reasonable estimates for the number of stores on each level

Answers

The number of stores in each level of the shopping mall are 56 stores.

How to solve an equation?

An equation is an expression that can be used to show the relationship between variables and numbers. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

Let x represent the number of stores on each level.

A shopping mall has 226 stores on 4 levels. If there are same number of stores in each level:

(4 × x) = 226

4x = 226

Divide

x = 226 / 4

x = 56.5

There are about 56 stores per level.

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57,624 divided by 46 and I have to show my work

Answers

Answer: 122 12/46 OR 122 R 12 OR 1252.69565

Step-by-step explanation:

PLEASE HELP 50 POINTS

Answers

The trigonometric expression cos 3x / (sin x · cos x) is equivalent by trigonometric formulas to the trigonometric expression csc x · cos 2x - sec x · sin 2x. (Correct choice: A)

How to find an expression equivalent to another trigonometric expression

In this problem we find the definition of a trigonometric expression, whose equivalent expression must be found by using algebra properties and trigonometric formulas. First, write the trigonometric function:

cos 3x / (sin x · cos x)

Second, use trigonometric formulas:

cos (x + 2x) / (sin x · cos x)

(cos x · cos 2x - sin x · sin 2x) / (sin x · cos x)

cos 2x / sin x - sin 2x / cos x

csc x · cos 2x - sec x · sin 2x

The equivalent trigonometric expression is csc x · cos 2x - sec x · sin 2x.

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Help help please help

Answers

Answer:

AB=45

Step-by-step explanation:

This is an isosceles triangle meaning AB and AC are congruent.

4x+1=2x+23

2x+1=23

2x=22

x=11

4(11)+1

44+1

45

A garden in the shape of a right triangle has a perimeter of 72 feet. If the

lengths of the sides of this garden are each lengthened by a factor of 8,

what would be the perimeter of the new enlarged garden?

OA) 352 ft.

OB) 488 ft

OC) 576 ft

OD 692 ft.

Answers

The perimeter of the new enlarged garden whose side length lengthened by factor of 8 is equal to 576ft.

As given in the question,

Shape of the garden is right triangle

Let 'x' , 'y' , and 'z' represents the three sides of the triangle shape garden.

Perimeter of the garden = 72 ft

⇒ x + y + z = 72 ft  __(1)

Now, length of the each sides of the new garden is lengthened by factor of 8.

Sides of the new garden are '8x' , '8y' , and '8z'

Perimeter of the new garden = 8x + 8y + 8z

⇒ Perimeter of the new garden = 8 ( x + y + z )

⇒ Perimeter of the new garden = 8 (72)

⇒ Perimeter of the new garden =  576 ft

Therefore, perimeter of the new garden is equal to 576ft.

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y>4x-3
What are three solutions for the inequality?

*Remember solutions are found in the shaded area or on a solid line (points on a dashed line are not a solution).

Answers

The three points which correctly represents a solution to the given inequality are;

1. (1, 2)2. (1, 3)3. (1, 4)

What are three points which correctly represents a solution to the given inequality?

It follows from the task content that the points which are solutions to the given inequality bare to be determined.

Since the given inequality as in the task content is; y > 4 x - 3.

By evaluating the inequality at one x-value of x = 1.

We have ;

y > 4 ( 1 ) - 3

y > 4 - 3

y > 1.

Therefore, the possible values of y which are greater than 1 are; 2, 3, and 4.

On this note, it is correct to conclude that the points which are solutions to the given inequality are; ( 1, 2 ), ( 1, 3 ) and ( 1, 4 ).

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SET AT 50 POINTS AND BRAINLIEST
Which expression is equivalent to −6 + 8 − 3x − 9x?
−12x + 14
−12x + 2
12x + 14
−12x − 2

Answers

Answer:

-12x + 2

Step-by-step explanation:

-6+8 = 2

-3x - 9x = -12x

-12x + 2

Answer:

Step-by-step explanation:

-12x+14 i believe

18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product? Circle the letter of the correct answer.

Answers

The expression that uses the greatest common factor and distributive property to write the given expression, 18 + 24, is 6(3 + 4)

Writing an expression using the Greatest common factor and distributive property

From the question, we are to determine the expression that uses the greatest common factor and the distributive property to write the given expression.

The given expression is

18 + 24

First, we will determine the greatest common factor of 18 and 24

18 = 2 × 3 × 3

24 = 2 × 2 × 2 × 3

Thus,

The greatest common factor is 2 × 3 = 6

Now, we will write the expression using the greatest common factor and the distributive property

18 + 24

6(3 + 4)

Hence, the expression is 6(3 + 4)

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HELP LIKE ASAP
WXY is the image of RST after a translation 3 units up. Select all of the statements that are always true.


options:

_ The length of side TR equals the length of side WX

_ The length of side RS equals the length of side WX

_ The measure of angle R equals the measure of angle W

_ The measure of angle R equals the measure of angle X.

Answers

The correct options are: The length of side RS equals the length of side WX and The measure of angle R equals the measure of angle W.

What is translation transformation?

A geometry translation is an isometric transformation, meaning that the original figure and the image are congruent.

Given that, WXY is the image of RST after a translation 3 units up.

As we know in translation, both figures are congruent so, we have,

WX = RS

XY = ST

WY = RT

And

∠ R = ∠ W

∠ S = ∠ X

∠ T = ∠ Y

Hence, The correct options are: The length of side RS equals the length of side WX and The measure of angle R equals the measure of angle W.

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help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!

Answers

Answer:

272 bison

Step-by-step explanation:

y(5)=240[tex](1+0.025)^{5}[/tex]

y(5) = 271. 5 bison ≈272 bison

Give a number in the form of a/b o that when it i divided by 100, the reult would be 0. 014 (write in fraction in reduce form)

Answers

The reduced form of the fraction would be 2.8/2.

What is a fraction?

A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

Given that a/b is a fraction and when it is divided by 100 it will result in 0.014.

So we can write,

            [tex]\frac{\frac{a}{b} }{100}=0.014\\\\ \frac{a}{b}=0.014*100\\\\\frac{a}{b}=1.4\\[/tex]

Now 1.4 can be written as

       a/b = 2.8/2

Hence, the reduced form of the fraction would be 2.8/2.

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The soccer field is 105 meters long. The football field is 120 yards long. Which is longer?

Answers

The football field is longer than soccer field.

What is a expression? What is a mathematical equation? What is unit conversion?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.

We have a soccer field that is 105 meters long and a football field is 120 yards long.

In one yard, we have -

1 yard = 0.9144 meters

Then, in 120 yards, we will have -

120 x 0.9144 = 109.728 meters

Now, 109.728 meters > 105 meters.

Therefore, the football field is longer than soccer field.

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The maintenance department of a manufacturing company is a(n)
A. investment center.
B. segment.
C. cost center.
D. profit center.

Answers

The correct answer is option C, i.e. Cost center.

The maintenance department of a manufacturing company is a cost center that generates costs and indirectly contributes to sales. A cost center is an area or department that does not contribute significantly to direct sales. Production company maintenance centers support the operation and operations of factories and offices. Since there is no direct revenue, maintenance centers are considered cost centers for production operations.

The explanation for incorrect answers:

Option A: This option is incorrect because the maintenance department does not provide a core return on investment.

Option B: A business segment is a department identified by another product, service, or geographic area, so the maintenance department does not qualify as a segment.

Option D: A profit center is a center that directly generates revenue, like a sales department.
Other Questions
Please help asap!!!!!! 8(10+(7))Evaluate the following expression. In the simple deposit expansion model, a decline in checkable deposits of $500 when the required reserve ratio is equal to 10 percent implies that the Fed:A) sold $500 in government bonds.B) sold $50 in government bonds.C) purchased $50 in government bonds.D) purchased $500 in government bonds. Describe a real or fictional character that you would hate to hang out with. Explain what this character says and does that makes you not want to be around them. Explain why are these characteristics so unappealing to you? write75 words plsss would the expanded form of 3(t-2) be 3t-5? Do the figures in this partial periodic table demonstrate the trend in atomic radius, ionic radius, or neither of these? Relate your answer to the structure of atoms across the periodic table is the neural activity triggered by a stimulus that activates a sensory receptor and results in sensory nerve impulses traveling the sensory nerve pathways to the brain. which of the following comparisons or contrasts between endergonic and exergonic reactions is false? Martina is driving to Atlanta. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.85. Martina has 74 miles remaining after 39 minutes of driving. How many miles will be remaining after 57 minutes of driving? Which of the following inputs is NOT involved in entrepreneurship? OA. External locus of controlOB. OpportunityOC. ProactivityOD. Risk the federal government initiative known as the lanham act provided funding for all of the following except . For the purposes of seeking a theory to explain the formation of the solar system, we identify four major features of our solar system. Which of the following represent these four major features?- Large bodies in the solar system have orderly motions.- Planets fall into two major categories (terrestrial and jovian).- Several exceptions to the general trends stand out.- Swarms of asteroids and comets populate the solar system. what are the effects of rising prices How did Marbury v. Madison impact the status of the Supreme Court ? medical terminology ologist mean place these operations into correct order based on the acronym taught in this lesson. 1. 1 multiplication 2. 2 subtraction 3. 3 parentheses 4. 4 addition 5. 5 exponents 6. 6 division Why entrepreneur is a risk taker? What are corrective taxes? Why do economists prefer them to regulations as a way to protect the environment from pollution? How does Walters description of bravery develop the theme of the story? (Paragraphs 43-45)Response 1.it reveals the courage it takes to admit a mistake2.it reveals the impact regret can have on a person 3.it reveals the damaging effect of revenge 4.it reveals the unreliable nature of gossip Imagine holding a tennis ball in front of a heat lamp for five minutes. What do you predict will happen to the temperature along the equator of the ball compared with the top and bottom?