MATHEMATICS HIGH SCHOOL

Sean keeps track of his driving so that he can take a tax deduction. Sean drove 260 miles last month, in comparison to 325 miles this month. By what percent has his monthly driving increased?

Answers

Answer 1
Answer:

Answer:

25%

Step-by-step explanation:

325/260 = 1.25

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HELP PLEASE MATH 1 QUESTION !!

If you apply these changes to the linear parent function, f(x) = x, what is the equation of the new function? - Vertically compress by a factor of 7
- Shifts up 5 units.

A. g(x) = 7x + 5
B. g(x) = (1)/(7) (x+5)
C. g(x) = 7(x-5)
D. g(x) = (1)/(7) x+5

Answers

Answer:

A, g(x) = 7x + 5

Step-by-step explanation:

applying these translations to the parent function f(x) = x, we would get the following equation:

g(x) = 7x + 5

a vertical compression is written before the parent function (in this case f(x)=x), and a shift up is written next to the function. both of these are without parentheses

the answer would be A, g(x) = 7x + 5

The Gallup Poll uses a procedure called random digit dialing, which creates phone numbers based on a list of all area codes in America in conjunction with the associated number of residential households in each area code. Give a possible reason the Gallup Poll chooses to use random digit dialing instead of picking phone numbers from the phone book.

Answers

Random digit dialing (RDD) is a method for selecting people for involvement in telephone statistical surveys by generating telephone numbers at random. Random digit dialing has the advantage that it includes unlisted numbers that would be missed if the numbers were selected from a phone book.

Answer:

Random dialing saves time and can cover the region better than the phone book.

Step-by-step explanation:

Not all phone numbers in the region are in the phone book, so dialing through the phone book would be limited, and it would take a long time to dial the numbers on each call. With that Gallup would take longer to complete his work and do a limited job.

On the other hand, random digit dialing would randomly generate phone numbers and select people to participate in Gallup's work much faster, which would allow Gallup to get more calls and work faster and more efficiently.

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point of symmetry? True or false?

Answers

False.

Reflectional symmetry, as the name suggests, is a property a design has if it maintains all characteristics when it is reflected with respect to some axis. This means that you must choose a line, and make it act as a mirror.

For example, you can consider a square, and one of its diagonal. If you "flip" the figure with respect to said diagonal, the square will remain the same.

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a line of symmetry so the given statement is False.

What is the transformation of a graph?

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will bit that (x,y) → (y,x).

If we want to reflect any graph or curve then we need to take a reference axis or line.

If the line is a line of symmetry then the length, with and remaining gall characteristics will remain the same.

Thus, the reflection must be the point of the axis.

Hence "The preceding statement is False because reflective symmetry is the property that a design possesses if it retains all attributes when it is rotated about a line of symmetry".

To learn more about the transformation of graphs,

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Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segment in the ratio of 5:2. A. (-5, -15) B. (-23, -5) C. (-13, -7) D. (-11.5, -2.5)

Answers

Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A(x_1,y_1) and B(x_2,y_2) in the ratio m:n is given by:

x=(m)/(m+n) (x_2-x_1)+x_1\n\ny=(m)/(m+n) (y_2-y_1)+y_1

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

x=(5)/(5+2) (-15-(-8))+(-8)\n\nx=(5)/(7) (-15+8)-8=(5)/(7)(-7)-8=-5-8=-13 \n\n\ny=(5)/(5+2) (-13-8)+8\n\ny=(5)/(7) (-21)+8=5(-3)+8=-15+8=-7

Therefore the coordinates of point X is at (-13, -7)

The base of a triangle is represented by (2x − 6) and the height by (x − 2). Which polynomial expression BEST represents the area of the triangle?

Answers

Area of a triangle= (1)/(2) *base*height
A=(1)/(2) *(2x-6)*(x-2)
A=(1)/(2) ( 2x^(2) -4x-6x+12)
A=x^(2) -2x-3x+6
A=x^(2) -5x+6

x2 - 5x + 6 is the answer. Hope this helps.

What is the surface area of the rectangular prism? 155 in² 270 in² 300 in² 310 in² rectangular prism with length labeled 4 inches, width labeled 5 inches, and height labeled 15 inches155 in² 270 in² 300 in² 310 in²

Answers

The surface area of rectangular prism is $310\,\text{i}{{\text{n}}^{\text{2}}}$.

What is surface area of rectangular prism?

The surface area of the rectangular prism is defined as the sum of the area of lateral faces and rectangular bases.

So, the formula of surface area of rectangular prism is,

$\text{SA = }2lh+2hw+2lw$

Where, SA is the surface area, l is the length, w is the width of the rectangle and h is the height.

It is given that,

l = 4 in

w = 5 in

h = 15 in

Put all the given values in the above formula and solve it.

So,

$\text{SA = }2lh+2hw+2lw$

     $=2\left( 4\cdot 15 \right)+2\left( 15\cdot 5 \right)+2\left( 4\cdot 5 \right)$

     $=120+150+40$

$\therefore \,\,\text{SA}=310$

Hence, the correct answer is  optiond that is $310\,\text{i}{{\text{n}}^{\text{2}}}$.

Learn more about surface area of rectangular prism here

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Answer:

I'm pretty sure the answer is 310

Step-by-step explanation:

Im on the test
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