what is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?

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.

The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.

what is regression?

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

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Answer:

15 miles per hour

Step-by-step explanation:

unit rate is when you how much it is for 1 like 3 dollars for 1 pound or 15 miles per hour

Hopes this helps please mark brainliest

Answer:

15 miles per hour

Step-by-step explanation:

Let's remember what exactly unit rate is:

Unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate. Or, it takes one second to run the 7 yards.

For this question, I first notice that we have 2 answers that pertain to the same thing:

15 miles per hour and 30 miles in two hours

We have 1 cake / 3 hours, but the 1 is not in the denominator so it is not a unit rate.

And we have $5.50 per 1.5 pounds. Again, the one is not in the denominator so it is not a unit rate.

Going back to the other two (15 miles per hour and 30 miles in two hours)

We can write these in fraction form

[tex]\frac{15 miles}{1hour}[/tex] and [tex]\frac{30miles}{2hours}[/tex]

The 15 miles per hour has the one in it's denominator, so it is the unit rate.

By using the concept of exponent, the result is-

The correct option is the third option

6 over 7 times 6 over 7 equals 36 over 49

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a \times a \times a \times.... \times a[/tex] (m times), a is the base and m is the index.

The laws of index are

[tex]a^m \times a^n = a^{m + n}[/tex]

[tex]a^m \div a^n = a^{m - n}[/tex]

[tex]a^0 = 1[/tex]

[tex](a^m)^n = a^{mn}[/tex]

[tex](\frac{a}{b})^m = \frac{a^m}{b^m}[/tex]

[tex]a^{-m} = \frac{1}{a^m}[/tex]

Here, the given exponent is [tex](\frac{6}{7})^2[/tex]

[tex](\frac{6}{7})^2 \\\\= \frac{6}{7}\times \frac{6}{7}\\\= \frac{36}{49}[/tex]

[tex]= \frac{36}{49}[/tex]

So the correct option is the third option

6 over 7 times 6 over 7 equals 36 over 49

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Complete Question

Which of the following shows the correct evaluation for the exponential expression 6 over 7 to the power of 2?

6 over 7 plus 2 equals 2 and 6 over 7

6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7

6 over 7 times 6 over 7 equals 36 over 49

6 over 7 divided by 2 equals 6 over 14

The following equations represents all the solutions (x, y) to the system of the equation is y=x²−x−5

The definition of an equation in algebra is a mathematical statement that proves that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

An equation is a mathematical statement that states that two amounts or values are equal, for as 6 x 4=12x2. An equation is a scenario in which two or more pieces must be considered together in order to understand or describe the total situation.

The given equations are:

y=x−2

y=x²−x−5

Let us take the second equation.

y=x²−x−5

x-2=x²−x−5

x²−2x-3=0

x²-3x+x-3=0

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

x-3=0, x+1=0

x=3, x=-1

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The value of 36.8/2.3 is 16

How do you divide expressions?

Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as the multiplication of the first statement by the reciprocal of the second.

What are equivalent expressions?

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Here,

we have to simplify the given division expression

So we start by solving the expression. i.e. divide 36.8 by 2.3

This means that when 36.8 divided by 2.3 is 16

Hence, the value of 36.8/2.3 is 16.

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The missing side we get for the triangle DOG s 56 and the triangle CAT is 90 when the triangle are congruent.

Given that,

In the picture we have 2 triangles,

We have to find the missing sides of the 2 triangles.

We have triangle DOG is congruent to triangle CAT.

Then we can say as,

Take the missing sides as a and b.

CT/ GD= CA/ OD= AT/ GO

126/b= 54/24= a/40

126/b = 9/4 =a/40

Take,

126/b = 9/4

126×4=9×b

504= 9b

b=504/9

b= 56

Now, take

9/4 =a/40

9×40= a×4

360=4a

a=360/4

a=90

Therefore, The missing side we get for the triangle DOG s 56 and the triangle CAT is 90 when the triangle are congruent.

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The compound interest at the end of 14 years compounded annually at a rate of 5% is $98,996.58

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period. In Mathematics, compound interest is usually denoted by C.I.

The formula is given as

C.I = P(1 + r/n)^nt

Substituting the values into the formula

A = 50000(1 + 0.05/1)^1 * 14

A = 98,996.58

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The value of a for which the equation has an infinite number of solutions is 5.

The solution to the equation: The result is a distribution of weights to the variables involved, establishing a balance in the calculation.

The equation given is written below:

Both sides of the equation must have the same value for an infinite number of solutions.

12x + 30 = 6(2x + a)

Simplifying the equation:

12x + 30 = 12x + 6a

Canceling 12x both sides. We get,

the value of a = 5

The value of a for which the equation has an infinite number of solutions is 5.

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The solutions to the inequalities are given as follows:

6. x < 4.

7. x ≤ 1.8.

8. x ≥ -7.

An inequality is solved similarly to an equality, isolating the variable and then finding a range of values.

For item 6, the inequality is:

x < 0.25(3x + 4)

x < 0.75x + 1

x - 0.75x < 1

0.25x < 1

x < 1/0.25

x < 4.

For item 7, the inequality is:

1.5 + 0.25(x/0.2) ≤ 3.75.

The composition is explained as follows:

Hence the solution is obtained as follows:

1.5 + 0.25(x/0.2) ≤ 3.75.

1.25x ≤ 2.25

x ≤ 2.25/1.25

x ≤ 1.8.

For item 8, the inequality is:

2(x + 4) ≤ 3(x + 7) - 4

No more = less or equal than

Hence
2x + 8 ≤ 3x + 21 - 4

2x + 8 ≤ 3x + 15

x ≥ 8 - 15

x ≥ -7.

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Answer:

x is -3

Once the expression has equal bases, it is a bit easier

Answer:

-11

Step-by-step explanation:

-36/9 + (-7)

= -4 + (-7)

= -11

The volume of the sphere whose radius is 3 as represented in the task content above is; 113.04 units³.

It follows from the task content that the volume of the sphere which is as represented in the task content is to be determined.

Recall from geometry of solid shapes (3 - dimensional shapes), the volume of a sphere is given by the formula;

V = (4/3) π r³

where r = radius = 3.

Therefore, Volume, V of the sphere is;

V = (4/3) × 3.14 × 3³

V = 113.04 units³.

On this note, the volume of the sphere as described is; 113.04 units³.

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mui

Step-by-step explanation:

When he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

The length of the side of the base is 90 ft. Its speed is 24 ft/s.

Let x = distance he has run at time t and

D = distance from second base at time t, then speed dx/dt = 24 and we calculate dD/dt where x = 45.

From Pythagorean Theorem,

[tex]D^{2} =(90-x)^{2} +90^{2}[/tex] ,

differentiating with respect to t

2D*dD/dt = 2 (90 − x) (−1) dx/dt + 0

D*dD/dt = − (90 − x)dx/dt

Now, when x = 45,

D =[tex]\sqrt{(90-45)^{2}+90^{2} }[/tex]

[tex]=\sqrt{45^{2}+90^{2} }[/tex]

by substituting D we get,

[tex]\sqrt{45^{2}+90^{2} }[/tex]dD/dt = − (90 − 45) · 24

dD/dt = −45 · 24/[tex]\sqrt{45^{2}+90^{2} }[/tex]

= −10.73 ft/s

Hence, when he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

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The scale which Mr. Seals used to create the scale of the drawing as required is; Choice A; 1 inch represents 4 feet.

It follows from the task content that the scale used by Mr. Seals is to be determined.

According to the task content; the width of the classroom is 5 inches and the width of the actual classroom is 20 feet.

On this note, it follows by proportion that we have;

5 inches / 20 feet.

= 1 inch / 4 feet.

Consequently, it can be inferred that the required scale is; 1 inch represents 4 feet.

Hence, Choice A is correct.

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Slope of the line in simplest form is -1/2.

From the graph:

Take any two points that the line is passing.

(-6, 0) and (2, -4)

slope = rise/run

rise = y2 - y1

run = x2 - x1

slope m = -4 - 0 / 2 - (-6)

= -4/2+6

= -4/8

= -1/2.

Therefore slope of the line in simplest form is -1/2.

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Check the picture below.

well, the red one is one, now the green one is another and yet if we tiptoe over the circle made by KL we'll always get a right-triangle as you see in the dashed lines, how many? well infinite many.

The value of x found after solving the equation using algebra tiles is -3.

What is algebra tiles?

Algebra tiles are mathematical manipulatives that help students comprehend the principles of algebra and strategies to think algebraically. For introductory algebra pupils at the level of elementary school, middle school, high school, and college, these tiles have demonstrated to offer solid examples.

Solving the equation for value of x

−x + (−3) = x + 3              

-x -3 = x + 3                  

subtracting x from both sides

(-x -3) -x = (x + 3) -x

-2x -3 = 3                      

Adding 3 to both sides

-2x -3 + 3 = 3 + 3

-2x = 6

Dividing by 2 both side.

x = -3

Therefore the value of x = -3

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Answer:

-3

Step-by-step explanation:

Properties we are going to use :
1. (a^m)^n = a^mn
2. a^m : a^n = a^(m-n)

((a^-2)^-1)^-1 = (a^(-2 x -1))^-1 = (a^2)^-1 = a^-2

(a : a^-1)^2 = (a^1 - (-1))^2 = (a^2)^2 = a^4

Therefore, the expression is simplified down to a^-2 : a^4

a^-2 : a^4 = a^(-2 - 4) = a^-6.

Answer:

negative

Step-by-step explanation:

Answer:

The graph/slope is negative. The slope intercept form is : y=-2x+5

Step-by-step explanation:

Table is

x   y

0  5

2  3

4  1

The required value of x for the given equation of line is 3.

The equation of straight line is defined as the y = mx +c or ax + by = c, where y is point on y-axis and x is the point n x-axis, m is slope of the line.

According to given data in the question:

we have,

8x-3y=21-----(1)

And 3x+y=10

multiply 3 both sides

9x+3y=30------(2)

To find the value of x,

Add equation 1 and 2, we get

x = 3

Thus required value of x is 3.

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Answer:

well lets see here

30.5/2

which if they divide it equally, it is 15.25

I hope this helps!

Answer:

Yes

Step-by-step explanation: Because ever eight years the money in the account doubles, and 48/6=8 so your money would double 6 times, just like it does in the expression.

A viable method of numeration that contained zero and allowed for the solution of equations was developed by Muslim academics, who also used logic to establish mathematical ideas and relationships.

The current arithmetic decimal system and the basic operations associated with it—addition, subtraction, multiplication, division, raising to a power, and extracting the square root and cubic root—were created by Muslim mathematicians.

The Indian numeral system, which is now known as Arabic numerals, was swiftly adopted by Islamic mathematicians. The development of algebra, the use of decimals, mathematical induction, and trigonometry were among the further contributions.

The Arabic translation of mathematical, medicinal, and astronomical writings from their original languages is one of the Islamic world's greatest contributions to contemporary science.

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Answer: $25

Step-by-step explanation:

Add 10 and 15 to get 25

The  angle measures are as shown below:

∠1 is 90°

∠2 = 60°

∠3 = 30°

∠4 = 20°

∠5 = 90°

What are transversal lines ?

In geometry, a transversal is any line that intersects two straight lines at distinct points

∠1 is 90° because it is a right angle

To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;

x + 90 + 30 = 180

x + 120 = 180

-120        -120

x = 60, ∠2 = 60°

Angle 5 is vertical to angle 1 which equals 90 degrees, and vertical angles are congruent meaning that they measure the same degrees so therefore ∠5 = 90°

Angles 4 and 40° are vertical to angle 2 which measures 60 degrees;

40 + x(where x equals angle 4) = 60

-40       -40

x = 20, ∠4 = 20°

Specified earlier, angles 40° and 4 are equal to 60°, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.

So we set up the equation;

40 + 20(angle four) + x = 90

60 + x = 90

-60       -60

x = 30, ∠3 = 30°

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Total Number of ways of selecting 7 characters accoring to tthe given condition will be 786240000

What is Permutation?

The term permutation refers to a mathematical computation of the number of possible arrangements of a given collection. Simply said, a permutation is a term that defines the amount of different ways something may be organised or arranged. The order of the arrangement is important in permutations.

Solution:

Assuming Repetation is not allowed

There are 26 letter in alphabet

So, number of ways of selectting three characters will be

26P3 = 26!/ 23!

26P3 = 15600

There are 10 basic digits in the number system

So, number of ways of selecting four characters will be

10P4 = 10!/6!

10P4 = 5040

Total Number of ways will be 15600 * 5040 = 78624000

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Answer:

106 ft^2

Step-by-step explanation:

we can make this a full rectangle and find the area of that

10 by 16 is the dimensions of the new rectangle so we multiply

16x10

160

And then we subtract by what we added by finding the are of the tiny rectangle with the dimensions of 6 and 9

6x9

54

Now we subtract 54 from 160

160-54

106

Hopes this helps please mark brainliest

Answer:

Random assignment is necessary for internal validity, whereas random assignment is necessary for external validity

Step-by-step explanation: