Identify Linear Function from PointsWhich Table of Values represents a linear Function?

Answer:

Alice: $75

Brian: $125

Step-by-step explanation:

3 + 5 = 8

200 ÷ 8 = 25

25 × 3 = 75

25 × 5 = 125

To solve the given fraction, we have to multiply the extremes parts and the inner parts between each other.

Then, we factor the numerator

At last, we simplify

Answer:

8 meters.

Step-by-step explanation:

the formula for the hypotenuse of a right triangle is: \(a^2 + b^2 = c^2\). Where C= hypotenuse and a and b = other sides. We can sub in a and c to get \(6^2 + x^2 = 10^2\\\). Simplify to \(36+x^2=100\). Subtract 36 from both sides to get x^2 = 64. \(\sqrt{64} =8\)

With the application angular momentum algebra Jy is Hermitian, Jy has imaginary matrix elements is proved.

What is Matrix?

a matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

Solution:

Recall the angular momentum algebra:

[Jx, Jy] = ihJz, [Jy, Jz] = ihJx, [Jz, Jx] = ihJy

Given a basis | ii, the matrix representations for the Jx is [Jx]ij ≡ hi | Jx | ji, and likewise for

Jy and Jz. Thus, since Jx and Jz have real matrix elements, we find:

hi | Jx | ji = hj | Jx | ii, hi | Jz | ji = hj | Jz | ii

where we use the Hermiticty of Jx and Jz. Taking the matrix elements of the third commutator

given above, we find:

hi | [Jx, Jz] | ji = −i~ hi | Jy | ji

where

hi | [Jx, Jz] | ji = Summation k(hi | Jx | ki hk | Jz | ji − hi | Jz | ki hk | Jx | ji)

                      = − hj | [Jx, Jz] | ii

       hi | Jy | ji = − hj | Jy | ii

Therefore, Jy is Hermitian, Jy has imaginary matrix elements.]

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The expected value of the proposition is -0.93

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Given that,

The player shooting 230/316 is a free throw percentage of 64.24%.  

We can now estimate his probability of making the next 2 shots as (0.6424)² = 0.4126

Now to find the expected value, you just need to find the value of each possible outcomes (he makes both, or he doesn't).

P(makes both) x (Value when you win) + P(misses both) x (value when you lose)

= 0.4126 x $36 + (1-0.4126)x(-$22)

= -0.93

Hence, the expected value of the proposition is -0.93

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Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer: C.5.60 miles

Step-by-step explanation:

I don’t know the explanation but I got it correct on a test that I was taking...

Rick ran 5.60 miles on Thursday at the speed of 5.60 miles per hour.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

Distance covered by Rick in 3/4 hour on Wednesday = 4.2 miles,

Also, Rick ran for 1 hour on Thursday at the same speed as Wednesday.

The speed on Wednesday = 4.2 / (3/4) = 5.6 miles / hour

Since, the speed is same on Thursday,

So the speed on Thursday = 5.6 miles per hour

The distance covered in 1 hour = 5.60 miles.

Hence, option (C) is correct.

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The measure of the largest angle of the garden is A = 160°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the number of sides of the polygon be = n

Now , since it is a quadrilateral , n = 4

So , the sum of interior angles of a quadrilateral is 360°

Let the measure of the two congruent angles be = x + x = 2x

And , let the third angle be a = 20° + x

Let the measure of the fourth angle be b = 25° + 3x

On simplifying , we get

2x + 20° + x + 25° + 3x = 360°

7x + 45° = 360°

7x = 315°

Divide by 7 on both sides , we get

x = 45°

Now , the measure of b = 25° + 3 ( 45 )°

The measure of angle b = 160°

Hence , the measure of largest angle of the garden is 160°

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The number of students from the math club that went to the soap box derby.

From the question, we see that there are two vans and 6 students in each van.

Thus, to get the number of students from the math club that went to the soap box derby, we will solve as follows;

Number of students that went to derby = 2 × 6 = 12

Complete question is;

The entire school 250 students went to the soap box derby. The math club went in 2 vans and each van held 6 students how many students from the math club went to the soap box derby

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Answer:

\(Rise = 11^\circ C\)

Step-by-step explanation:

Given

\(Midnight \to -7^\circ C\)

\(Midday \to 4^\circ C\)

Required

The temperature rise

This is the difference between the final and the initial temperature

\(Rise = Midday - Midnight\)

\(Rise = 4^\circ C - -7^\circ C\)

\(Rise = 4^\circ C +7^\circ C\)

\(Rise = 11^\circ C\)

Answer:

289/900

Step-by-step explanation:

I took the k12 test

The simplified expression in terms of fractions will be 289/900.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

[(-1/3) + 0.3(-1/3) + 1]²

⇒ [-1/3 - (3/10)(1/3) + 1]²

⇒ [-1/3 - 1/10 + 1]²

Taking LCM as 30.

⇒ [(-10 - 3 + 30)/30]²

⇒ (17/30)² = 289/900.

Hence "The simplified expression in terms of fractions will be 289/900".

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The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

Answer:

It's the 3rd one: Commutative Property of Equality.

Step-by-step explanation:

Original: 3a + 6 = 2 - 5a + 7

But then on step one, the -5a was moved around. The -5a took the position of where the +7 was located and the +7 took the position of where the - 5a was located. (Basically, they switched)

Step one: 3a + 6 = 2 + 7 -5a

Check the picture below.

Make sure your calculator is in Degree mode.

\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)

Answer:

math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

The length of the third side of the triangle is 8.

The image is that of a right angled triangle. A right angled triangle is a triangle in which one of the angles measure 90 degrees. The sum of angles in the triangle measure up to 180 degrees.

In order to determine the length of the third side, the Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

In the triangle, 15 is the length and 17 is the hypotenuse.

a²  + 15²  = 17²

a²  = 17²  - 15²

a = √(17² - 15² )

a = √(289 -225)

√64 = 8

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Answer:

30 hhhhhhhhhhhhhhhhhh

Answer:

30

Step-by-step explanation:

Remember, every triangle is 180 in all so add up what you see and subtract that from 180.

102+48= 150

180-150= 30

Hope it helps.

Answer:

well you need to divide 468 by 32

Answer:

12

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\huge\textbf{ASSUMING}\)

\(\mathsf{x^{2y}}\)

\(\huge\textbf{IF SO, FOLLOW THESE STEPS TO}\\\huge\textbf{SOLVE FOR YOUR RESULT}\)

\(\mathsf{x^{2y}}\\\mathsf{= 3^{2(6)}}\\\mathsf{= 3^{2\times6}}\\\mathsf{= 3^{12}}\\\mathsf{= 3\times3\times3\times3\times3\times3\times3\times3\times3\times3\times3\times3}\\\mathsf{= 9\times9\times9\times9\times9\times9}\\\mathsf{= 81\times81\times81}\\\mathsf{= 6,561\times81}\\\mathsf{= 531,441}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{531,441}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer: x > 24

Step-by-step explanation: -12x/-1/2x = 24. 24 is the given when dividing. The sign is flipped after dividing negatives.

Answer:

x < 0

Step-by-step explanation:

it's the same thing just with that slash( / ).........

Answer:

y = 2x - 3.

Step-by-step explanation:

The slope  is 2 and the y-intercept is at y = -3

Answer:

4 root 10 is the first unit

Step-by-step explanation:

okey so step by step now

first put distace formula

then put values accordingly

you get,(12^2+4^2)keep in under root 2

\(\sqrt{160\\\)

solve it ur answer is\(\sqrt[4]{10}\)

Answer:

Hola disculpa no me acuerdo

Step-by-step explanation:

De verdad que me encantaria ayudar pero no me acuerdo :(

Answer:

6

Step-by-step explanation:

The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

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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.