Constance is drawing a map of the block on which she lives, using a scale of 1 inch to 160 feet. The actual length of her block is 1800 feet.

What is the exact length of the block on Constance's map

Answer: Choice B

Explanation:

Convert each percentage mentioned to decimal form. Example: 3% = 0.03

Then multiply each time value with the decimal form of the interest rate.

Choice B yields the smallest result, so it will lead to the lowest amount of interest to pay on top of the principal. Therefore, option B is the best route to have the lowest total repayment.

1/2 x² + x + 3/2 is the correct answer......

When solving a quadratic equation by completing the square, the b value should be even so as not to have fractions.

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomial are classified based on degree as linear, cubic, quadratic etc.

A quadratic equation is of degree 2. It is given by:

y = ax² + bx + c

where a, b and c are constants

When solving a quadratic equation by completing the square, the b value should be even so as not to have fractions.

Find out more on Polynomial at: https://brainly.com/question/2833285

Answer:

Step-by-step explanation:

At Step 2 you subtract 1/2 from both sides of the equation:

Its justification is therefore is:

Answer:

Correct answer is C

Step-by-step explanation:

The blue graph is translated down 3 which would give you the minus 3 and translated left 4 giving you the plus 4..

The equation of the blue graph is G ( x ) = ( x + 4 )² - 3

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the equation of the graph be represented as A

Now , the value of A is

Since the graph is that of a parabolic curve ,

It is a quadratic equation of the form y = ( x + a )² - b

And , the graph is shifted right to 4 units and down by 3 units

So , the equation of graph is G ( x ) = ( x + 4 )² - 3

Hence , the equation of graph is G ( x ) = ( x + 4 )² - 3 and plotted

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

Answer:

Use F.O.I.L method
First, Outter, Inner, Last

So:

5x*7x= 35x^2

5x*-6= -30x

7x*2= 14x
2*-6= -12

So just add it all up, combine like terms and you have your answer.

35x^2 -16x -12

Answer:

12x - 4

Step-by-step explanation:

Add like terms.

5x + 7x = 12x

2 + (-6) = -4

Therefore, (5x + 2) + (7x - 6) = 12x - 4.

[tex] \huge \boxed{ \tt2\dfrac{1}{8}}[/tex]

Step-by-step explanation

[tex] \sf \rightarrow4 \dfrac{7}{8} - 2 \dfrac{3}{4} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow\dfrac{39}{8} - \dfrac{11}{4} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{ \frac{39 \times 8}{8} - \frac{11 \times 8}{4} }{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{39 - 11 \times 2}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{39-22}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{17}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow 2\dfrac{1}{8}[/tex]

I think x is 33

that's your answer

Answer:

2,340,208.5 or 2,340,209

Step-by-step explanation:

You could answer this by multiplying the current population of 800,000 by 1.05 (1.05 represents the annual growth rate of population) and do that 22 times.  But that would take a while.

we got 1.05 because the formula says that y = a( 1 + r ) power t

for a we will give it 1

so y = 1 ( 1 + 0.05) power t

it will give us 1.05

to do this faster, you would first calculate (1.05)22and then multiply this by 800,000.

So, 800,000 x (1.05)22 = 2,340,208.5 or 2,340,209

Answer:

A

trust me

have a good day brainliest and 5 star please :D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: I THINK ITS (-10/8)

Step-by-step explanation:

Apply BPT theorem or Thales theorem

So

And

Option A

The scale factor used to create the dilated Triangle M'S'V is 2/3.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor k. If k > 1, it is an increment whereas if k < 1, it is a decrease.

Triangle MSV has vertex at M(-3, 3) while that of M'S'V' has vertex at M'(-2, 2). Hence the scale factor is 2/3

The scale factor used to create the dilated Triangle M'S'V is 2/3.

Find out more on Transformation at: https://brainly.com/question/1462871

Answer:

no we cannot because when we solve x-2=5 it gives x=7 and x+3=5 gives x=2 if we place the x value as 7 then it does not justify (x-2)(x+3)=5, if we put x= 2 then again it does not justifies (x-2)(x+3)=5

Step-by-step explanation:

x-2=5

x=5+2

x=7

x+3=5

x=5-3=2

putting x=7 in given equation

(7-2)(7+3) is not equal to 5

putting x=2 in given equation

(2-2)(2+3) is not equal to 5

that's why we can't solve

Answer:

Beyond his military accomplishments, Genghis Khan also advanced the Mongol Empire in other ways. He decreed the adoption of the Uyghur script as the Mongol Empire's writing system. He also practised meritocracy and encouraged religious tolerance in the Mongol Empire, unifying the nomadic tribe Northeast Asia .

Step-by-step explanation:

Hope This Helps :)

Answer:

  4x^3 -12x^2 +17x -12

Step-by-step explanation:

Use the distributive property, and collect terms.

  (2x -3)(2x^2 -3x +4)

  = 2x(2x^2 -3x +4) -3(2x^2 -3x +4)

  = 4x^3 -6x^2 +8x -6x^2 +9x -12

  = 4x^3 -12x^2 +17x -12

Charlene’s new net income will be $113.70.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the monthly salary of Charlene is $3,410. While her net income is 7% of her monthly income. Therefore, the net income of the Charlene is

[tex]7\%\ of\ \$3410 = \text{Charlene Net income}\\\\\dfrac{7}{100} \times 3410 = \text{Charlene Net income}\\\\ \text{Charlene Net income} = \$238.7[/tex]

Thus, Charlene's net income is $238.7.

Now since Charlene is going to reduce her net income by $125 each month, therefore,

Charlene New Net Income = Charlene Net Income - $125

                                              = $238.7 - $125

                                              = $113.70

Hence, Charlene’s new net income will be $113.70.

Learn more about Percentage:

https://brainly.com/question/6972121

Answer:

200

Step-by-step explanation:

11^2+10^2=x^2

121+100=x^2

221=x

nearest 100th would be 200

Answer:

(3, 0)

Step-by-step explanation:

So with the 2 equations you can either choose which to start with but you need to make the X or Y the opposite from the other equation.

1.

3x + y = 9 (keep as is)
x + 2y = 3 --> -3( x + 2y = 3) In this case I chose to make the X the opposite of each other

--

3x - 3x = 0 (forced to get rid of)

y - 6y = -5y (Get the -6 by -3 x 2)

9 - 9 (Get the -9 by -3 x 3)

Left with:

-5y = 0 (Divide both sides by -5 to get X alone)

y = 0

----------------------------------------------------------

(Choose any ORIGINAL equation)

x + 2y = 3

x + 2(0) = 3 (substitute)

Left with:

x = 3  (x + 0 = 3)

-------------------------------------------------------------

Optional:

Chose the other equation (the opposite from above)

Substitute X and Y in 3x + y = 9

3(3) + (0) = 9

Left with: 9 = 9 (check)

Hope this helps!

Answer:

14[tex]x^{2}[/tex] - 98x - 25774

Step-by-step explanation:

1- Reorder

  Reduce

  Calculate

2- Rewrite

   Calculate

3- Calculate

4- Remove the parentheses

5- Calculate

Answer:

5. c- 50°; 130°

6. b- 5:4

7. d- 12/24

Answer:

B) $1.25/ 4

Step-by-step explanation:

if Anna had $5.00 to start with and after buying 4 pencils she had $3.75 left that would mean each pencil was around $1.25.

$5.00 subtract $3.75 equals $1.25

hope this helps :D

Answer:

point-slope form: [tex]y-8=\frac{4}{5}(x+2)[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

WEll the answer is d

Step-by-step explanation:

The first (80%) mortgage has an interest rate of 4.75%, and the second (20%) mortgage has an interest rate of 7.525%. Both are 30-year fixed-rate mortgages.

======================================================

Explanation:

The formula we'll be using is

P = (L*i)/( 1-(1+i)^(-n) )

where,

---------------------

For the first mortgage (80%), we need to find out the L value

L = 80% of 175,000 = 0.80*175,000 = 140,000

The monthly interest rate is the annual rate over 12

i = r/12 = 0.0475/12 which I'll keep as a fraction

Lastly, this mortgage goes for 30 years aka 30*12 = 360 months. So n = 360.

To summarize the input values we'll use, we have,

Let's compute the monthly payment

P = (L*i)/( 1-(1+i)^(-n) )

P = (140,000*0.0475/12)/( 1-(1+0.0475/12)^(-360) )

P = 730.30627110436 approximately

P = 730.31

The first mortgage has a monthly payment of $730.31

We'll use this later.

---------------------

Now onto the second mortgage (20%)

L = 20% of 175,000 = 0.20*175,000 = 35,000

i = r/12 = 0.07525/12 which I'll keep in fraction form

n = 360 months (same as before)

In short,

So,

P = (L*i)/( 1-(1+i)^(-n) )

P = (35,000*0.07525/12)/( 1-(1+0.07525/12)^(-360) )

P = 245.32451498724 approximately

P = 245.32

The second mortgage has a monthly payment of $245.32

---------------------

The last step is to add the two monthly payments (found at the conclusion of each previous section)

730.31 + 245.32 = 975.63

Answer:

V = 324π in^3

Step-by-step explanation:

Volume of a cylinder: V=π*r^2*h

V=π*r^2*h

V=π*r^2*h

V = π*6^2*9

V = π*36*9

V = 324π in^3

Hope this helps!

Answer:

50

Step-by-step explanation:

2(5)^2=2(25)=50

Answer: 2/5

Step-by-step explanation:

Since there are 5 marbles and 3 aren't yellow, you have a 2/5 chance to choose the other two yellow marbles

Hope this helps:)

The perimeter of an object is the sum of all sides.

a book is a rectangle which has 4 sides. 2 sides would be the length and 2 sides would be the width.

Set up the equation:
70 = 20 + 20 + x + x

Simplify

70 = 40 + 2x

Subtract 40 from both sides

30 = 2x

Divide both sides by 2

X = 15

The width of the book is 15 cm

Answer:

Since rational numbers can be written as a ratio, such as a/b, then irrational numbers can not be written that way.

Step-by-step explanation:

Square roots of non-perfect squares are irrational numbers because they are non-terminating and non repeating decimals