Find the measure of angle f given the information below.


A= 122 degrees
E=48 degrees the image is below!!

range(2,11,2) because range is a tool for defining a range between two numbers and adding a step value.

Range is the difference between the highest and lowest values ​​in a range of numbers. To calculate the range, subtract the smallest number from the largest number in the set.

The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

range(2,11,2) because range is used to create a range between number and add step value

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Peggy's method will make more money.

Compound interest is the sum of interest on principal and interest on interest of previous period.

Given, that principal is same in both cases,

Also, Peggy will get total interest = 2×6 = 12%.

Whereas, Larry will get 1 % per quarter compounded quarterly.

Therefore, Larry will get (101/100)⁸%.

Hence, 12 > (101/100)^8 and Simple interest method will make more money.

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Answer:

124

Step-by-step explanation:

1,240/10 is 124. You divide by 10.

The number of packages of 10 for the 1240 pot holders is 124.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of pot holders = 1240

Number of pot holders in one pack = 10

The number of packages.

= 1240 ÷ 10

= 1240/10

= 124

Thus,

The number of packages of 10 is 124.

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The complex number (25 + 22i)² in simplest form a + ib is 141 + 1100i

A complex number is a number in the form z = x + iy where

To find the complex number (25 + 22i)² in the form a + ib, we proceed as follws.

(25 + 22i)² = (25 + 22i)((25 + 22i)

Expanding the brackets, we have that

(25 + 22i)² = (25 + 22i)((25 + 22i)

(25 + 22i)² = [25 × 25 + 25 × 22i + 25 × 21 + (22i)²]

(25 + 22i)² = [625 + 550i + 550i + 484i²]

(25 + 22i)² = [625 + 550i + 550i + 484 × (-1)] Since i² = -1

(25 + 22i)² = [625 + 550i + 550i - 484]

Collecting like terms, we have that

(25 + 22i)² = [625 - 484 + 550i + 550i]

(25 + 22i)² = 141 + 1100i

So, (25 + 22i)² = 141 + 1100i

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The list that shows the low tides from lowest to highest is -1.6 < -0.8 < 1.58 < 2.6 and this can be determined by using the given data.

The correct option is A).

Given,

In the question:

The table shows the dates, times, and high and low tide heights.

Now, According to the question:

The following steps can be used in order to determine the list that shows the low tides from lowest to highest:

Step 1 - According to the given table, the low tide on Thursday, Feb 7 at 1;26 am is 2.6 ft.

Step 2 - According to the given table, the low tide on Thursday, Feb 7 at 2:29 pm is -0.8 ft.

Step 3 - According to the given table, the low tide on Friday, Feb 8 at 2:24 am is 1.5 ft.

Step 4 - According to the given table, the low tide on Friday, Feb 8 at 3:16 pm is -1.6 ft.

Step 5 - Arrange the data of low tides given in the above steps in increasing order:

-1.6 < -0.8 < 1.58 < 2.6

The correct option is A).

Hence, The list that shows the low tides from lowest to highest is -1.6 < -0.8 < 1.58 < 2.6 and this can be determined by using the given data.

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The product of matrices A and B is matrix C

a)  [tex]C = (3 )[/tex]

b)  [tex]C = \begin{pmatrix}-30\end{pmatrix}[/tex]

c)  [tex]C = \begin{pmatrix}14&20\end{pmatrix}[/tex]

d)  [tex]C =\begin{pmatrix}20&5\end{pmatrix}[/tex]

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

a)

Let the 2 matrices be A and B

The value of matrix A is

[tex]A = \begin{pmatrix}4&5\end{pmatrix}[/tex]

The value of matrix B is

[tex]B = \begin{pmatrix}2\\ \:-1\end{pmatrix}[/tex]

The product of matrix A and B is C

The value of matrix C is

[tex]C = \begin{pmatrix}4&5\end{pmatrix}\begin{pmatrix}2\\ -1\end{pmatrix}[/tex]

On simplifying the matrix C , we get

[tex]C = \begin{pmatrix}4\cdot \:2+5\left(-1\right)\end{pmatrix}[/tex]

[tex]C = (3 )[/tex]

Therefore , the value of matrix C is [tex]C = (3 )[/tex]

b)

Let the 2 matrices be A and B

The value of matrix A is

[tex]A = \begin{pmatrix}2&6\end{pmatrix}[/tex]

The value of matrix B is

[tex]B = \begin{pmatrix}-3\\ \:-4\end{pmatrix}[/tex]

The product of matrix A and B is C

The value of matrix C is

[tex]C = \begin{pmatrix}2&6\end{pmatrix}\begin{pmatrix}-3\\ -4\end{pmatrix}[/tex]

On simplifying the matrix C , we get

[tex]C = \begin{pmatrix}2\left(-3\right)+6\left(-4\right)\end{pmatrix}[/tex]

[tex]C = \begin{pmatrix}-30\end{pmatrix}[/tex]

Therefore , the value of matrix C is  [tex]C = \begin{pmatrix}-30\end{pmatrix}[/tex]

c)

Let the 2 matrices be A and B

The value of matrix A is

[tex]A = \begin{pmatrix}1&2\end{pmatrix}[/tex]

The value of matrix B is

[tex]B = \begin{pmatrix}4&6\\ 5&7\end{pmatrix}[/tex]

The product of matrix A and B is C

The value of matrix C is

[tex]C =\begin{pmatrix}1&2\end{pmatrix}\begin{pmatrix}4&6\\ 5&7\end{pmatrix}[/tex]

On simplifying the matrix C , we get

[tex]C = \begin{pmatrix}1\cdot \:4+2\cdot \:5&1\cdot \:6+2\cdot \:7\end{pmatrix}[/tex]

[tex]C = \begin{pmatrix}14&20\end{pmatrix}[/tex]

Therefore , the value of matrix C is  [tex]C = \begin{pmatrix}14&20\end{pmatrix}[/tex]

d)

Let the 2 matrices be A and B

The value of matrix A is

[tex]A = \begin{pmatrix}0&5\end{pmatrix}[/tex]

The value of matrix B is

[tex]B = \begin{pmatrix}3&6\\ 4&1\end{pmatrix}[/tex]

The product of matrix A and B is C

The value of matrix C is

[tex]C =\begin{pmatrix}0&5\end{pmatrix}\begin{pmatrix}3&6\\ 4&1\end{pmatrix}[/tex]

On simplifying the matrix C , we get

[tex]C = \begin{pmatrix}0\cdot \:3+5\cdot \:4&0\cdot \:6+5\cdot \:1\end{pmatrix}[/tex]

[tex]C =\begin{pmatrix}20&5\end{pmatrix}[/tex]

Therefore , the value of matrix C is  [tex]C =\begin{pmatrix}20&5\end{pmatrix}[/tex]

Hence ,

The product of matrices A and B is matrix C

a)  [tex]C = (3 )[/tex]

b)  [tex]C = \begin{pmatrix}-30\end{pmatrix}[/tex]

c)  [tex]C = \begin{pmatrix}14&20\end{pmatrix}[/tex]

d)  [tex]C =\begin{pmatrix}20&5\end{pmatrix}[/tex]

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Answer: y= (x+2)^2 + 7

Step-by-step explanation:

y= (x+2)^2 + 7

y = (x+2) (x+2) +7

y= x^2 + 2x + 2x + 4 +7

y= x^2 + 4x + 11

The inverse of y = √x - 10 + 4 is y = x^2 + 26 + 8x

What in mathematics is inverse?

A function that "undoes" another function is known as an inverse in mathematics. To put it another way, if f(x) produces y, then y will produce x when y is fed into f's inverse function. Invertible refers to a function that has an inverse, which is represented by the symbol f1.

Given that:

J(x) = √x - 10 + 4

y = √x - 10 + 4

now replace x with y

x = √y - 10 + 4

now solve for y , x = √y - 10 + 4

x + 4= √y - 10

Squaring both the side

x^2 + 16 + 8x = y - 10

y = x^2 + 26 + 8x

Hence the inverse of y = √x - 10 + 4 is y = x^2 + 26 + 8x

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x = 18

The probability of choosing a fruit snack replaced and then choosing a granola bar is 5/36.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, Mellisa has options to choose from 3 different snacks,

N(GB) = 4, N(C) = 3, and N(FS) = 5.

So, The sample space N(S) = N(GB) + N(C) + N(FS).

N(S) = 12.

The probability of choosing a fruit snack is,

P(FS)

= N(FS)/N(S).

= 5/12.

Given, She puts it back so replaced and hence the events are independent.

So, The probability of choosing a granola P(GB) = N(GB)/N(S).

= 4/12.

= 1/3.

Therefore The combined probability is (5/12)×(1/3).

= 5/36.

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Answer: No, it is not proportional.

Explanation:

We can see that Diego opened an account with $20, meaning that there is going to be a y-intercept of 20 in a graph. Therefore, with a y-intercept of 20 and not zero, we can say that there is not a proportional relationship between and time and amount saved for Diego.

The equation of the parabola that has a force at (3, 9) and directrix at y = -5 will be x² - 6x + 65 = 28y.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let (x, y) be the locus point. Then the equation is given as,

(x - 3)² + (y - 9)² = (y - 5)²

Simplify the equation, then we have

(x - 3)² + (y - 9)² = (y - 5)²

x² - 6x + 9 + y² - 18y + 81 = y² + 10y + 25

x² - 6x + 65 = 28y

The equation of the parabola will be x² - 6x + 65 = 28y.

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An inequality that combines two simple inequalities is known as a compound inequality.

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Answer:

3) 4.47 miles

Step-by-step explanation:

AC is the the hypotenuse

so, 6*6 = 36, and 4*4 = 16

36-16=20

square root of 20 is 4.472135...

so, 4.47

Using the slope-intercept form, the slope, y-intercept and equation of the graph are -1/7, 5 and y = -1/7x + 5 respectively

The general equation of straight line is given in slope-intercept form as

y = mx + c.

In the graph given, the function is a straight line with slope and y-intercept.

Taking two points from the graph.

The slope of the equation can be calculated using the points

slope (m) = y₂ - y₁ / x₂ - x₁

m = 1 - 0 / -2 - 5

m = 1 / -7

The slope is -1/7

From the graph, we can see the point in which the line passes through the y - axis and it is known as the y - intercept.

The y - intercept on this graph is 5

The slope- intercept form can be written as

y = -1/7x + 5

a) When x = -1, y = ?

y = -1/7x + 5

y = -1/7(-1) + 5

y = 1/7 + 5

y = 36/7

b) When y = 7, x = ?

y = -1/7x + 5

7 = -1/7x + 5

x = -14

c) The y - intercept of the graph is 5

d) The x-intercept of the graph is at -2.2

e) The slope of the line is -1/7

f) The equation of the line is given as y = -1/7x + 5

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The solution to the given inequality that is x+4y<4 is (-8,-2) as it only gives the correct result for the equation.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left part, 5x 4, is bigger than the right part, 2x + 3. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Here,

x+4y<4

(-8,-2)

-8+4*-2=-16<4

The provided inequality, x+4y4, has a solution of (-8,-2) because it alone provides the solution to the equation.

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As per the requirement of body fat measurement, we measure the body fat in continuous data type.

Measureable data is referred to as continuous data. The values in this data are not constant and can take on an endless number of different forms. You can also divide these measures up into smaller, independent components.

Since it may employ decimal points and have infinite values, it is more precise and comprehensive than discrete data.

The type of data that would be used to describe percent of body fat is continuous data. An example of the continuous data type is Height of a person.

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Total ways of required selection is 686, obtained from the sum of the cases of 3, 4 and 5 women in the committee.

Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in combinations.

Given that 5 persons are to be selected with a condition of minimum 3 women. Therefore the different possibilities are:

1) 3 women and 2 men

2) 4 women and 1 man

3) 5 women

Final answer will be the sum of the above results.

Total ways to select 3 women from 6 women and 2 men from 8 men,

Total ways =  ⁶C₃ * ⁸C₂

Similarly total ways for 4 women and 1 man =  ⁶C₄ * ⁸C₁

Total ways for 5 women = ⁶C₅ * ⁸C₀

Add the three results to get the final answer,

Total number of ways = (⁶C₃ * ⁸C₂) + (⁶C₄ * ⁸C₁ ) + (⁶C₅ * ⁸C₀)

Total number of ways = 560 + 120 + 6 = 686

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Answer:

8 and 4

Step-by-step explanation:

Answer: 8 and 4

Step-by-step explanation:

Appraisal , If the insured and this insurer are unable to reach an understanding regarding the actual cash value or the extent of the loss, then, upon the written demand of either party, each shall choose a qualified and impartial appraiser and notify the other of the appraiser selected within 20 days of the demand.

What does the word "appraisal" mean?

A valuation by an authorized person of a piece of property, such as real estate, a company, a collectible, or an antique, is known as an appraisal.          

                                            An accreditation from a regulatory body overseeing the appraiser's area of practice is required for an authorized appraiser.

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The system is consistent and independent.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have the system of equations:

y = 4x - 4

y = -4x + 4.

Let's take the quotient between both the equations as;

(y/y) = (4x - 4)/(-4x + 4)

1 = (4x - 4)/(-4x + 4)

Solve for x;

1*(-4x + 4) = 4x - 4

-4*x + 4 = 4x - 4

-4x - 4x = -4 - 4

-8*x = -8

x = -8/-8 = 1.

To find the value of y, we can input this value of x in one of the equations:

y = 4 x1 - 4 = 0.

Then we have only one solution, (1, 0).

Therefore, the system is consistent and independent.

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The subject formula is v= 2s/t- u.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

s = 1/2(u+v)t

Now, we have to work for variable 'v'

2s = ( u+ v)t

2s/ t = u+ v

v= 2s/t- u

Hence, the subject formula is v= 2s/t- u.

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Answer:

$3624.48

Step-by-step explanation:

This is a bank interest formula that is -> P(1 +/- r/n)^rt

3500(1 + 0.035/12)^12*1

The answer is 3624.48

Using linear pairs, [tex]y=102[/tex].

Using the angle sum in [tex]\triangle TRS[/tex], [tex]x=70[/tex].

f(x) +g(x)= (3x-2)+(5x+2)

=3x-2+5x+2 (-2or +2 become cancelled )

=3x+5x

8x

Answer:

Length = 50 ft

Width = 15 ft

Area = 750 ft²

Step-by-step explanation:

Define the variables:

Create two equations with the given information.

Given:

⇒ 3L = 10W

Given:

⇒ 2W + 2L = 130

Rearrange the second equation to make W the subject:

⇒ 2(W + L) = 130

⇒ W + L = 65

⇒ W = 65 - L

Substitute this into the first equation and solve for L:

⇒ 3L = 10(65 - L)

⇒ 3L = 650 - 10L

⇒ 13L = 650

⇒ L = 50

Substitute the found value of L into the second equation and solve for W:

⇒ 2W + 2(50) = 130

⇒ 2W + 100 = 130

⇒ 2W = 30

⇒ W = 15

Therefore:

Substitute the found values of W and L into the formula for area of a rectangle to find the area of the pool:

⇒ Area = W × L

⇒ Area = 15 × 50

⇒ Area = 750 ft²

A table of values that represents a proportional relationship must have a constant rate and must pass through the origin

From the question, we have the following parameters that can be used in our computation:

A table that is has proportional relation

A table of values can be represented as

x    y

a    b

c   d

......

.....

For the table of values to be proportional, the following must be true

x    y

0    0

a    b

c   d

......

.....

Also, it must have a constant ratio

i.e. b/a = d/c

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The height of the tail post is 13.74 m.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that, after travelling 11.45 metres from her school, she lays a flat mirror on the ground in the center, with an x drawn on it. When she can clearly see the top of the goalpost depicted in the x.

She moves 1.25 metres to the other side of the mirror. Her spouse calculates that there are 1.15 metres between her eyes and the earth.

Suppose the height of the tail post is x,

The geometric relation is,

1.5/1.25 = x/11.45

Apply cross multiplication

1.5×11.45=1.25x

17.175=1.25x

Divide both sides by 1.25

x=13.74

Hence,  if she moves 1.25 metres to the other side of the mirror. Her spouse calculates that there are 1.25 metres between her eyes and the earth. The height of the tail post is 13.74 m.

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