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Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

Answer:

The answer is 90 degrees

Step-by-step explanation:

Both A and B make a right angle, which is 90 degrees.

Hope it helped :)

The value of m∠A + m∠B is 90°

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

Three lines intersect to form 5 angles such that:

From the top left ∠B made and after this 90° made.

∠D = 124°

From the figure, we can clearly see ∠A = ∠C (vertically opposite angles)

We can calculate ∠C = 360°-90°-90°-124° ⇒ 56°

Also ∠A = 56°

and ∠B = 90° - 56° ⇒ 34°

Now we can calculate the sum of the angle ∠A+∠B = 56+34 ⇒ 90°

Thus, the value of m∠A + m∠B is 90°

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Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).

Here,

To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.

L(e1) = (1+0, 0+0) = (1, 0)

L(e2) = (0+1, 1+0) = (1, 1)

L(e3) = (0+0, 1+0) = (0, 1)

So we can write:

L(x) = L(x1 e1 + x2 e2 + x3 e3)

= x1 L(e1) + x2 L(e2) + x3 L(e3)

Now we can assemble the coefficients of this linear combination into a matrix A:

A=  \(\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right]\)

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Answer

Sam has 2 pounds of blueberries. Ben bought 2 more and together, they have 4 pounds of blueberries!!!

Step-by-step explanation:

Therefore , the solution of the given problem of  probability comes out to be the right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

Because the Queen of Hearts and Jack of Spades are not face cards or nines,

the occurrences "Drawing a Queen of Hearts or Jack of Spades from a standard deck of cards" and "Drawing a face card or a 9 from the a standard deck of cards" do not overlap.

A Queen of Hearts is both a red card and a queen, and a diamond is a type of red card and a club is a type of card, so the occurrences "Drawing a Diamond or a Club from a Standard Deck of Cards" and "Drawing a Red Card or a Queen from a Standard Deck of Cards" overlap.

The right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."

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The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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The cubic regression equation that fits the points (1,-9), (2,-15), (3,-29),(-1,3) is given as follows:

f(x) = -x³ + 2x² - 5x - 5.

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

Using the calculator, the equation is given by:

f(x) = -x³ + 2x² - 5x - 5.

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Answer:

4,6

Step-by-step explanation:

Answer:

The answer would be (6, 10).

Answer:

In AFGH, the measure of ZH=90°, the measure of ZF=44°, and GH = 14 feet. Find the length of HF to the nearest tenth of a foot.​ - 22536102.

Step-by-step explanation:

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Answer:

z = -3

Step-by-step explanation:

If we had two independent samples, the variance is known and \(n_1\) and \(n_2\) are bigger than 30, the test statistic for the difference between the two population means is calculated as:

\(z=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} } }\)

Where \(x_1\) and \(x_2\) are the means of the samples, \(s_1^2\) and \(s_2^2\) are the variances of the samples and \(n_1\) and \(n_2\) are the size of the sample.

Finally, replacing  \(x_1\) by 82, \(x_2\) by 88, \(s_1^2\) by 112.5 , \(s_2^2\) by 54, \(n_1\) by 45 and \(n_2\) by 36, we get that the statistic is equal to:

\(z=\frac{82-88}{\sqrt{\frac{112.5}{45}+\frac{54}{36} } }=-3\)

The value of the angle x is 30 degrees

To determine the value of the variable x, we need to know the triangle sum theorem.

The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.

We should also note that angle at right angle is 90 degrees

Then, we have the angles written as;

90 degrees

2x degrees

x degrees

Equate the angles , we have;

2x + x + 90 = 180

collect the like terms, we have;

2x + x = 180 - 90

add or subtract the like terms, we have;

3x = 90

divide by the coefficient

x = 30

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The cost of topsoil per ton would be $48.

The cost of pea gravel per ton is  $20.

The cost of mulch per ton is $479.

What is the linear equations in two variable?

A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are two-variable linear equation.

We have,

7 tons of topsoil, 6 tons of mulch, and 3 tons of pea gravel for $3270.

5 tons of topsoil, 5 tons of mulch, and 5 tons of pea gravel for $3015.

Let,

cost of topsoil per ton = x

cost of pea gravel per ton = x - 28

cost of mulch per ton = m

7x + 6m + 3(x - 28)  = 3270

7x + 6m + 3x - 84  = 3270

10x + 6m = 3270 + 84

10x + 6m = 3354 -------------(i)

5x + 5m + 5(x - 28)  = 3015

5x + 5m + 5(x - 28)  = 3015

10x + 5m = 3015 - 140

10x + 5m = 2875 -----------(II)

Subtracting equation (II) from (I), we get

   10x + 6m = 3354

-   10x + 5m = 2875

Solving we get

       m = 479

Put m = 479 in equation(I), we get

           10x + 6m = 3354

           10x + 6(479) = 3354

           10x = 480

              x = 480/10

              x = 48

Hence,

The cost of topsoil per ton would be = x = $48.

The cost of pea gravel per ton = x - 28 = 48 - 28 = $20.

The cost of mulch per ton = m = $479.

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Answer:

The Answer is "A"

Step-by-step explanation:

x+2=y

The probability that Jessica picks a yellow pencil is 80%.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.

Now,

The probability of picking a yellow pencil =  the number of yellow pencils / total number of pencils:

Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils

In this case, there are 8 yellow pencils out of a total of 10 pencils:

Probability of picking a yellow pencil = 8 / 10

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

Probability of picking a yellow pencil = 4 / 5

Probability of picking a yellow pencil = 4 / 5 x 100%

Probability of picking a yellow pencil = 80%

Therefore, the probability that Jessica picks a yellow pencil is 80%.

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Answer:

Total number of vial = 44 vial (Approx.)

Step-by-step explanation:

Given:

Total amount of medicine in a case = 160 ounces

Amount of medicine in each vial = 11 / 3 oz

Find:

Total number of vial

Computation:

Total number of vial = [Total amount of medicine in a case / Amount of medicine in each vial]

Total number of vial = 160 / [11/3]

Total number of vial = 160 / 3.667

Total number of vial = 43.63

Total number of vial = 44 vial (Approx.)

The number of vials that are in the case is 44 vial.

Using this formula

Number of vials=Total ounces of med/Number of  med in each vial

Let plug in the formula

Number of vials=160 ounces÷11/3 oz

Number of vials=160 ounces÷3.66667

Number of vials=43.63

Number of vials=44 vials (Approximately)

Inconclusion the number of vials that are in the case is 44 vial.

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The length and width of the rectangle are 12 cm and 5 cm respectively.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The perimeter of a rectangle is the sum of the whole sides of the rectangle.

The perimeter of a rectangle can be represented as follows:

The perimeter of a rectangle is 34 centimetres.

The length is two more than twice the width.

Therefore,

perimeter of a rectangle = 2(l + w)

where

l = 2 + 2w

34 = 2(2 + 2w + w)

34 = 2(2 + 3w)

34 = 4 + 6w

34 - 4 = 6w

30 = 6w

w = 30 / 6

w = 5 cm

Hence,

l = 2 + 2(5) = 2 + 10 = 12 cm

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Answer:

So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.

Step-by-step explanation:

Answer:

1. 2:20

2. 3:30

3. 4:40

Step-by-step explanation:

1/10 can be written as a ratio like so - 1:10

Now we just have to change both numbers by multiplying or dividing by the same amount to get 3 equivalent ratios.

We can multiply both numbers by 2 to get - 2:20

Or we can multiply both numbers by 3 to get - 3:30

And, we can also multiply both numbers by 4 to get - 4:40

These are 3 possibilities of many possibilities

Hope this Helps!!! :)

Let me know if this answer was perfect or if I should change it in the comments!!!

Answer:

Step-by-step explanation:

The solution to the set of equations can be found by solving the system:

3x + 3y = 12

x + y = 4

We can simplify the second equation by solving for y:

y = 4 - x

Substituting this expression for y into the first equation, we get:

The solution to the set of equations can be found by solving the system:

3x + 3y = 12

x + y = 4

We can simplify the second equation by solving for y:

y = 4 - x

Substituting this expression for y into the first equation, we get:

3x + 3(4 - x) = 12

3x + 12 - 3x = 12

12 = 12

This is a true statement, which means that the system is consistent and has infinitely many solutions. Therefore, the correct answer is:

There are infinitely many solutions.

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are here given that there are two linear equations, namely,

\(\begin{cases} 3x+3y = 12 \\ x+y = 4 \end{cases}\)

These can be rewritten as ,

\(\begin{cases} 3x+3y - 12 =0\\ x+y -4=0 \end{cases}\)

Before we precede we must know that,

Conditions for solvability :-

If there are two linear equations namely,

\(\begin{cases} a_x + b_1y+c_1 = 0 \\ a_2x+b_2y+c_2=0\end{cases}\)

Then ,

Case 1 :-

If we have,

\(\longrightarrow \boxed{ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2} } \\\)

Then , the lines are coincident and there are infinitely many solutions .

Case 2 :-

If we have,

\(\longrightarrow \boxed{ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2} } \\\)

Then, the linear equations are inconsistent and have no solutions , thus the lines are parallel .

\(\rule{200}2\)

So here with respect to angle standard form of pair linear equations, we have;

Hence here we have,

\(\longrightarrow \dfrac{a_1}{a_2} = \dfrac{3}{1} \\\)

\(\longrightarrow \dfrac{b_1}{b_2}=\dfrac{3}{1} \\\)

\(\longrightarrow \dfrac{c_1}{c_2}=\dfrac{-12}{-4}=\dfrac{3}{1} \\\)

Therefore we can clearly see that,

\(\longrightarrow \boxed{ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2} =\boxed{\dfrac{3}{1}}} \\\)

Hence there are infinitely many solutions and the lines are coincident .

Answer:

Conditional Probability

Step-by-step explanation:

Conditional probability refers to the chances that some outcome occurs given that another event has also occurred. It is often stated as the probability of B given A and is written as P(B|A), where the probability of B depends on that of A happening

Answer:

I think the answer is 12

Step-by-step explanation:

The vertices of the ΔDEF are given by (-4, 2)D',  (-1,  1)E' ,  (1,  5)F' through mapping.

what is mapping?

Any set, including all whole integers, all the points on a line, or all the objects inside a circle, can be mapped. A mapping of the set of all whole numbers onto the set of even numbers is defined by the expression "multiply by two," for instance. A rotation is an internal map of a plane or of all of space.

The vertices of ΔDEF are given by D(2,-4) - D E(1,-1) - E F(5, 1).

According to the rule defining a reflection across the line, y=x should be stated when reflecting a point across the line. Then, the x and y coordinates are switched as follows:

y(x, y) → (y, x)

Let's now use the aforementioned rule to finish mapping the vertices of DEF. Change the x and y coordinate locations as follows:

The vertices of the ΔDEF are given by (-4, 2)D',  (-1,  1)E' ,  (1,  5)F' through mapping.

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Answer:

1/3 or 33%

Step-by-step explanation:

You can first do: 50/150

Which is 5/15 simplified

And do the quick math:

1/3 or 33%

You need to solve the expression

To solve this you have to remember the correct order of operations, which is:

Parentheses, Exponents, Multiply/Divide, Add/Subtract.

So you have to solve the multiplication first, and then the addition.

1) Solve the multiplication

2) Solve the addition

The result of the expression is 13.4

Addison spent 17 hours on the app and Charli spent 21 hours on the app

The lines y = 5x + 4 and x + 5y = 2 are neither parallel nor perpendicular.

Two lines are considered parallel if they have the same slope. Two lines are considered perpendicular if the product of their slopes is -1.

In this case, the line y = 5x + 4 has a slope of 5 and the line x + 5y = 2 can be rearranged to get y = -(1/5)x + 2/5, which has a slope of -(1/5). The product of these slopes is not equal to -1, so the lines are not perpendicular. Since the slopes are not equal, the lines are not parallel either.

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Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%

5/8

64%

0.65