what is the scale factor from the original copy?

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

The simplified sum of the second and forth integers are; -1 + 5 = 4

An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803

Now, we are given the consecutive integer sequence as;

x, 1, 3, 5

Now, since the integers are consecutive, then the common difference is the same. Thus;

1 - x = 3 - 1

1 - x = 2

x = 1 - 2

x = -1

Sum of first and fourth term = -1 + 5 = 4

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Answer:

x + 2y = 6

2y = -x + 6

y = -1/2x + 3

So, you will have a downward sloping, less steep line with an intercept at (0, 3).

You can use the Math is Fun Function Grapher and Calculator to graph the line.

Hope this helps!

The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

You can use the definition of an eigenvalue and eigenvector to prove that Ak has eigenvalue λk for the same eigenvector x for any positive integer k.

You can use the eigenvalue definition Ax = λx to prove that Ak has eigenvalue λk for the same eigenvector x for any positive integer k.

To begin, let's start with the definition of an eigenvalue and eigenvector:

x = λx

where A is a matrix, λ is the eigenvalue, and x is the eigenvector.

Now, let's raise both sides of this equation to the power of k:

\((Ax)^k = (\lambda x)^k\)

Since \((A^k)x = A(Ax)^{(k-1)\), we can substitute and simplify:

\(A^{kx} = \lambda(Ax)^{(k-1)\)

Substituting the definition of an eigenvalue and eigenvector again, we get:

\(A^{kx} = \lambda^{kx\)

This shows that Ak has eigenvalue λk for the same eigenvector x, as desired.

Therefore, you can use the definition of an eigenvalue and eigenvector to prove that Ak has eigenvalue λk for the same eigenvector x for any positive integer k.

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Answer:

it is so hard men and there is no solution maybe you can search on siri

Josh used 87 pounds of type B coffee in the blend.

What is equation?

An equation is a statement that two expressions are equal. It typically contains variables, which are quantities that can take on different values, and constants, which are quantities that have a fixed value. Equations can be used to describe relationships between different quantities and to solve problems by finding the values of variables that satisfy the equation.

For example, the equation 2x + 3 = 7 states that the expression 2x + 3 is equal to the expression 7.

Let's say that Josh used x pounds of type A coffee, and y pounds of type B coffee in the blend.

From the problem statement, we know that the total amount of coffee in the blend is 138 pounds, so x + y = 138.

The cost of the blend is $652.50, so 5.8x + 4.1y = 652.5.

We can use these two equations to solve for y, the number of pounds of type B coffee used.

First, we can solve for x in terms of y from the first equation,

x + y = 138

x = 138 - y

Then we can substitute this expression for x into the second equation,

5.8x + 4.1y = 652.5

5.8(138 - y) + 4.1y = 652.5

800.4 - 5.8y + 4.1y = 652.5

1.7y = 147.9

y = 87

Therefore, Josh used 87 pounds of type B coffee in the blend.

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Answer:

A B and D

Step-by-step explanation:

answers A B and E are correct because you started with 4500

The scale factor of figure B to figure A is 1/2.

To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.

Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.

Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.

Therefore, the scale factor of figure B to figure A is 1/2.

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Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

52

if im wrong, sorry

if im right, yay

Answer:

to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore

x^2 + 10x + 25 - 2 =2 - 2

therefore

x^2 + 10x +23 = 0

now since the equation cannot be factored, we use the formula.

x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)

where

a=1

b=10

c=23

note we use the coefficients only.

therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)

=\(\frac{-10-+\sqrt{100-92} }{2}\)

=\(\frac{-10-+\sqrt{8} }{2}\)

then we form two equations according to negative and positive symbols

x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)

therefore x = \(-5+\sqrt{2}\)   or x=\(-5-\sqrt{2}\)

Answer:

12 * Answer:
12 x 3 = 36 + 6 = 42,
Step-by-step explanation:

Step-by-step explanation:

The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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The scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.

Length is a measure of dis dancer size it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept mathematics science engineering and many others build it is used to calculate the dimensions of this area and more it is also used to measure the time it takes to travel A certain distance link this and important concept that is used to measure and compare objects.

To answer this question, we can use the ratio of the length of the cafeteria in the scale drawing compared to the actual length of the cafeteria. The ratio is 11 inches : 88 feet. We can simplify this ratio to 1 inch : 8 feet. Therefore, the scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.

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The measure of angle QRS in triangle QRS is found as 56.8 degrees.

An angle is  formed when two straight lines or rays meet at a common endpoint.

We know  that the sum of the angles in a triangle is  180 degrees.

In triangle QRS,  

angle RSQ = 48.2 degrees

angle SQR = 75 degrees.

48.2 + 75 + QRS  = 180 (sum of angles in a triangle)

123.2 + QRS  = 180

QRS  = 180 - 123.2

QRS  = 56.8

In conclusion, a triangle is described as a polygon with three edges and three vertices.

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Answer:

17

Step-by-step explanation:

A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The average rate of change for the data from the 2nd hour to the 6th hour is,

Average rate = ($126 - $58)/(6 hour - 2 hour)

                      = 68/4 dollar per hour

                      = 17 dollars per hour

Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.

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Answer:

-64

Step-by-step explanation:

By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:

\(t *r^{n-1}\)

where t is the first term and r is the ratio. We can substitute in the information we know:

\(-\frac{1}{2} *2^{n-1}\)

We are looking for the eighth term, so we substitute 8 where n is:

\(-\frac{1}{2}*2^{8-1}\)

We can simplify:

\(-\frac{1}{2}*2^7\)

\(-2^6\)

\(-64\)

The ratios of y/x are the same for the graph of y = 3x

and the ratios of y/x are NOT the same for the graph of  y = 3x + 4

When the second integer in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. The ratio is just an equation wherein the two proportions are made equal to one another. As an illustration, you might express the ratio as 1: 5 if there is 1 guy and 5 girls.

In this question, we have been given the graphs of lines y = 3x and y = 3x + 4.

Consider the ratios of y/x for the graph y = 3x

or, 6/2 = 3

or, 3/1 = 3

or, (-6)/(-2) = 3

Consider the ratios of y/x for the graph y = 3x + 4.

or, 7/1 = 7

or, (1)/(-1) = -1

or, (-2)/(-2) = 1

We can observe that the ratios of y/x are the same for the graph of y = 3x

and the ratios of y/x are different for the graph of  y = 3x + 4.

Therefore, the ratios of y/x are the same for the graph of y = 3x

and the ratios of y/x are NOT the same for the graph of  y = 3x + 4

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Given data:

The coordinates of the points, A(-4, 2).

Need to calculate: The coordinates of the points A after translating 5 units right and 3 units down.

We can see that 1 block is equal to 1 unit.

If we shift the ABCD 5 unit right, the new coordinates of point A will be (1, 2).

Now just translate the rectangle ABCD 3 units down.

The coordinates of points A will be (1, -1).

Hence the coordinates of point A after 5 units right and 3 units down is (1,-1).

Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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Ans its b and c

Step-by-step explanation:

Answer:

V = 343 cm³.

Step-by-step explanation:

Recall that to find the volume of a cube, the formula used would be:

V = s³ ('s' being the side length of the cube)

Therefore, if s = 7, plug that into the equation:

V = 7³

V = 343 cm³.

The required direction of the inequality is below the line.

If you're not graphing a vertical line, the inequality's sign will tell you which half-plane to shade. Shade above the line when using the  or > sign. Shade below the line if the symbol or is used. Larger solutions are to the right and smaller solutions are to the left, respectively, for a vertical line.

To check the direction, we will take points from the graph and put in the given inequality.

At point (2, 0)

y ≤ x/4 - 3

0 ≤ 2/4 - 3

0 ≤ -25

It is false

Again

At (2, -4)

y ≤ x/4 - 3

-4 ≤ 2/4 - 3

-4 ≤ -2.5

It is true,

Thus, we can say the direction of the inequality is below the line.

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It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Answer:

3 f

Step-by-step explanation:

(-1)+(4)

-+(4)

-+4

-f+4

-f+4

3

3

Part 1: Build a Budget

A.

To calculate the maximum amount for each category, we use the monthly net pay of $3,254.47 (which is obtained by multiplying the bi-weekly net pay by 26 and then dividing by 12):

Housing: 30% x $3,254.47 = $976.34

Food/Household: 15% x $3,254.47 = $488.17

Savings: 10% x $3,254.47 = $325.45

Transportation: 15% x $3,254.47 = $488.17

Debt: 5% x $3,254.47 = $162.72

Entertainment: 10% x $3,254.47 = $325.45

Medical/Personal Care: 5% x $3,254.47 = $162.72

Giving: 5% x $3,254.47 = $162.72

Clothing: 3% x $3,254.47 = $97.63

Miscellaneous: 12% x $3,254.47 = $390.53

B. Please see attached picture for the completed budget spreadsheet.

Part 2: Finding a Rental Property

A. Rental Property 1 Rental Property 2

City, State Austin, TX

Type of property Apartment

Number of bedrooms 2

Number of bathrooms 2

Total square footage 1,000 sq ft

Utilities included Water, Trash, Sewer

Amenities included Pool, Gym, Clubhouse

Monthly rent $1,500

Monthly electric $150

Monthly water $65

Monthly Total $1,715

B. To calculate the percentage of monthly net income spent on housing for each property, we divide the monthly rent (including utilities) by the monthly net pay of $3,254.47:

Comparing the housing percentage chosen in Part 1 (30%) to the percentages for each property chosen in Part 2, it is clear that Rental Property 1 fits within the chosen range (25%-35%), while Rental Property 2 is well above the range.

Part 3: Saving for Rent

Let's assume we have chosen Rental Property 1 to rent. The monthly rent (including utilities) is $1,715. To save for rent, we will use the savings category from Part 1, which is 10% of our monthly net pay, or $325.45.

To determine how many months of savings we need to cover the cost of the security deposit and first month's rent, we add them together: $1,715 + $1,715 = $3,430.

Then, we divide the total cost by the monthly savings amount: $3,430 / $325 = $10.55

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