What’s the equation of the line in fully simplified slope-intercept form

The straight line that best represents something probable but not certain is option D.

It shows a probability of approximately 80%.

Answer:

6.2%

Step-by-step explanation:

got the wrong answer and this was the right one omm

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

too blurry cant read it

Step-by-step explanation:

.........................................................

Answer:

Step-by-step explanation:

81 texts in 9 hours

So you do 81 divided by 9

Which givrs you 9 text an hour

Answer:

180 degrees

Step-by-step explanation:

Lets call the unknown Angle next to angle C "ANGLE D"

1. Your given the angle 45 degrees.

2. (45 degree angle) can correspond to Angle D,

because of the alternate exterior angles definition-  two lines (angles) that are on diagonal opposite sides of one another outside of the two parallel lines.

3:  (45 degree angle) is an alternate exterior angle to its corresponding diagonal angle Angle D, this can also be said for (Angle C) and (angle B).

4: Now that the angles are known- (Angle C) is an alternate exterior angle to (Angle B).  (45 degree angle) is an alternate exterior angle to Angle D  

We can now use

The alternate Exterior angles Theorem- If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.

4: we now know that (45 degree angle) is congruent  to Angle D. And (angle C) is congruent to  (angle B).

-Angle D and  (45 Degree angle) are both 45 degrees since they are both alternate exterior angles to one another. And  (Angle C) and (Angle B) have the same angle measure because they are alternate exterior angles to one another.

5: take a look at (angle C) and Angle D notice the transversal- (line that intersects two parallel lines), and how it creates a linear pair. Notice that the transversal has created the angles of (angle B) and (45 degree angle) to be linear pairs as well.

- Linear Pair definition- If two adjacent lines have rays pointing in opposite directions they are linear pairs.

Also the definition of a Linear Pair identifies as Supplementary. Supplementary is an angle that has a total of 180 degrees.

6: If (45 degree angle) and Angle B make a linear pair, and linear pairs have a total of 180 degrees, then solve for the angle measure of (angle B)

180= 45 + measure of (angle B)

180-45= 135

135 = measure of (angle B)

45 + 135= 180 degrees

7: The measure of (Angle B) is 135 degrees and since (Angle B) is congruent to (Angle C), the measure of (Angle C) is 135 degrees.

Therefore, (45 degree angle) and (Angle B) are 180 degrees total and (Angle C) and (Angle D) are 180 degrees total.

Now, that all exterior angle measures are found, it can be concluded that Angle A) is the same as the  total measure of its exterior angle, since it is the same line that makes up the linear pair.

Therefore, (Angle a) is 180 degrees.

Answer:

531 m²

Step-by-step explanation:

9x9x5=405 (5 sides that are 9x9, including the bottom)

1/2x9x7x4=126 (4 triangles on top)

405+126=531

Step-by-step explanation:

N + 5 = -1

-16

N = - 1 + 5

16

N = -16 + 5

16

N = -11

16

N = -0.6875 = -0.7

Answer: f(3) = 145 ==> 1st option

Step-by-step explanation:

f(p) = 7p³ - 5p² + 1/3p

f(p) = 7p³ - 5p² + p/3

f(3) = 7(3)³ - 5(3)² + (3)/3

f(3) = 7(27) - 5(9) + 1

f(3) = 189 - 45 + 1

f(3) = 144 + 1

f(3) = 145 ==> 1st option

The required distance between the points  (−1,6) and (−1,7). is 1 unit.

Given that,
using the distance formula to evaluate the distance between the points  (−1,6) and (−1,7).

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
The distance formula is given as,
D = √[[x₂ - x₁]² + [y₂+ - y₁]²]
Substitute the values in the above equation,
D = √[[-1 + 1]² + [7 - 6]²]
D = √[0 + 1]
D = 1

Thus, the required distance between the points  (−1,6) and (−1,7). is 1 unit.

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The point which is on the y-axis and is the y axis and is 7 units from the point (-7, -5) is;

Since the point is on the y-axis, it follows that it's x-coordinate is zero and hence; the point is; (0, y).

The distance is therefore 7 units and hence;

7² = (-7-0)² + (y - (-5))²

49 -49 = (y +5)²

0 = y +5

y = -5

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Answer:

the answer is b, c, d, a, respectively

Answer:

The hypotenuse is 17

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

Take the square root of each side

sqrt(289) = sqrt(c^2)

17 = c

Answer:

17 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

\(a^2+b^2=c^2\)

where a and b are the legs and c is the hypotenuse.

In this triangle, 8 cm and 15 cm are the legs, because they form the right angle. The hypotenuse is unknown.

a= 8

b= 15

\(8^2 + 15^2= c^2\)

Solve the exponents on the left side of the equation.

8^2= 8*8= 64

\(64+15^2=c^2\)

15^2= 15*15= 225

\(64+225=c^2\)

Add 64 and 225

\(289=c^2\)

c is being squared. We want to get c by itself, so we must perform the inverse. The inverse would be taking the square root.

Take the square root of both sides.

\(\sqrt{289} =\sqrt{c^2}\)

\(\sqrt{289} =c\)

\(17=c\)

c= 17 cm

The length of the hypotenuse is 17 centimeters.

A) The Number of Combinations if there are no restrictions on the seating arrangements are 5040 ways.

B) There are three friends That must sit together

in 36 ways.

C) Three friends are next To each other in 144 different ways.

Total number of people = 7 and seated in a row.

Combination is arrangement of objects in a particular order. The formula of combination is

ⁿCₓ = n!/(n-x)! x!

n --> total number of objects

we have to determine how many ways can 7 be seated in a row.

A) if there are no restrictions on seating arrangement, The number of possible ways = n!

Here, n! = 7!

= 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.

Therefore, there are 5040 ways that the people can be seated when there is no restriction on the seating arrangement.

b) There are three friends that must sit Together. The three persons can be arranged in 3!

The possible number of ways = 3! × 3! × 1

= 3× 2×1 ×3×2×1

= 36

C) If there are three friends must sit next to one another. There are total seven persons . Three persons sit next to one another. The possible number of ways = 3! × 4!

= ( 3 × 2 × 1) × (4 × 3 × 2 × 1)

= 6 × 24

= 144 ways

Therefore, if there are 3 sit next to one another, there are 144 ways of seating arrangement.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

He saved $4

1/5 of the total amount saved

Step-by-step explanation:

20 - 16 = 4

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Julio will be 30 years old when his father is twice his age.

To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.

Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.

For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.

Setting up an equation to solve for x:

x + 30 = 2x

Simplifying the equation, we subtract x from both sides:

30 = x

Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.

Therefore, Julio will be 30 years old when his father is twice his age.

Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?

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the data classification (categorical or quantitative) and type of data (Nominal or Ordinal or Continuous or Discrete)

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

Data classification is a process of organizing data into categories based on their characteristics, attributes, or features. There are two main types of data classification:

Categorical Data: Data that can be divided into categories or classes. For example, color, gender, and type of cuisine are all examples of categorical data. Categorical data can be further classified into two types:

a. Nominal Data: Data that does not have an inherent order or ranking. For example, hair color, eye color, and favorite movie are all examples of nominal data.

b. Ordinal Data: Data that has a natural order or ranking. For example, education level (high school, college, postgraduate), star rating (1 star, 2 stars, 3 stars), and satisfaction level (very unsatisfied, unsatisfied, neutral, satisfied, very satisfied) are all examples of ordinal data.

Quantitative Data: Data that can be measured and expressed as a number. For example, height, weight, and time are all examples of quantitative data. Quantitative data can be further classified into two types:

a. Continuous Data: Data that can take on any value within a specified range. For example, height, weight, and temperature are all examples of continuous data.

b. Discrete Data: Data that can only take on specific values. For example, number of children in a family, number of pets, and number of rooms in a house are all examples of discrete data

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Answer:

\(\displaystyle 380,13271108...\:yd.^2\)

Step-by-step explanation:

\(\displaystyle {\pi}r^2 = A \\ \\ 11^2\pi = A \hookrightarrow 121\pi = A \\ \\ \boxed{380,13271108... = A}\)

If you want to follow what the exercise wants, then multiplying \(\displaystyle 3,14\)by the square of the radius will give you \(\displaystyle 379,94\:yd.^2.\)

I am joyous to assist you at any time.

EXPLANATION:

Given;

We are given the linear equation below;

Required;

We are required to graph the equation of the line using the intercepts.

Step-by-step solution;

The graph of a line in standard form is given as;

Note that the equation given already satisfies this condition. We can re-arrange the equation in the slope-intercept form which is;

We now have the following;

We can plot for at least 2 points by using the intercepts, that is when x = 0 and when y = 0;

Also,

We now have the points;

We can now plot these on a graph paper, and then extend the line at both ends. That is at the point where you have (-2, 0), we can draw the line continuously to the left and from the point where you have (0, 4), you can also draw the line continuously to the right.

With the aid of a graphing tool, the graph will come out like the one shown below;

ANSWER:

Answer:

Step-by-step explanation:

3/4 : 1/8 =

3/4 x 8 =

24/4 =

6

Answer:

7 nickels and 14 dimes

Step-by-step explanation:

In tricky word problems like this you have to translate the word problem to algebraic equations

Let number of nickels = N
Let number of dimes = D

2 times as many nickels as dimes is saying that
the nmber of dimes = twice the number of nickels
and  translates to D = 2N  (1)

Value of D dimes = 10D cents since each dime is 10 cents
Value of N nickels = 5N cents since each nickel is 5 cents

$1.05 = 105 cents

So,

Value of dimes is $1.05 more than value of nickels translates to :

10D - 5N = 105  (2)

Since we have D = 2N we can use this relation to substitute for the value of D in terms of N
10D - 5N ==> 10(2N) - 5N = 20N - 5N = 15N

From (2) we get
15N = 105

N = 105/15 = 7
So there are 7 nickels

D = 2N = 2 x 7 = 14
So there are 14 dimes

Hence there are 7 nickels and  14 dimes

Let's check and see if our answer is right by plugging this value into the second equation

10D - 5N = 10 x 14 - 5 x 7 = 140 - 35 = 105 cents =$1.05

The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

option B is correct answer of this question

hope it helps

Answer:

Option B

Step-by-step explanation:

As,

In all the options 3rd process of the simplification Only B option is correct as,

When the bases are same the exponents get added

So, Option B is only the correct simplification of

\({ ({9}^{ \frac{1}{2} })}^{2} \)

To - 9

Step-by-step explanation:

Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:

\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),

where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).

In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:

\(\displaystyle \nabla \times \mathbf{H} =0\).

Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):

\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).

Using the curl identity and applying the chain rule, we can expand the expression:

\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:

\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Differentiating the cosine function with respect to \(\displaystyle x\):

\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).

Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).

Simplifying the equation:

\(\displaystyle \sin( 10^{10} t-600x) =0\).

The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):

\(\displaystyle 10^{10} t-600x =n\pi\),

where \(\displaystyle n\) is an integer. Rearranging the equation:

\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).

The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.

Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.

Thus, the correct expression for the magnetic flux density in the given medium is:

\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).