A bicycle has a listed price of $895.95 before tax. the sales tax rate is 6.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent,
as necessary .
(spammers reported)

Answer:

0.339

Step-by-step explanation:

Answer:

24 miles

Step-by-step explanation:

There are 7 days a week. Lucia didn't run on Sunday, so she ran 6 days.

4 miles per day x 6 days = 24 miles.

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

The correct option B. Path B: since velocity v is tangent to a circular path.

Any linear component of an object's motion that travels a circular path is called tangential velocity.

Thus, the rock will follow path B since velocity v is tangent towards the circular path.

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The complete question is

A girl attaches a rock to a string, which she then swings counter-clockwise in a horizontal circle. The string breaks at point P in the figure, which shows a bird's-eye view (as seen from above). Which path (A-E) will the rock follow?

A. Path A

B. Path B

C. Path C

D. Path D

E. Path E

Answer:

95,367,431,640,625 (or approximately 9.5 x 10^13)

Step-by-step explanation:

If there are 5 choices for each question in a 20-question multiple-choice test, then there are 5 possible answers for each question. To find the total number of ways to answer the test, we need to multiply the number of choices for each question together.

Therefore, the total number of ways to answer the 20-question multiple-choice test is:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5

which is equal to 95,367,431,640,625 (or approximately 9.5 x 10^13) ways to answer the test.

Answer:

11/5

Step-by-step explanation:

We can find the slope by

m = (y2-y1)/(x2-x1)

   = (5 - -6)/(-4 - -9)

   = (5+6)/(-4+9)

    = 11/5

Answer:

6.53

Step-by-step explanation:

cos(theta)= adjacent/hypotenuse

cos(40)= 5/h

H= 5/cos(40)

=6.527

Rounded to the nearest hundredth will be 6.53

Answer:

13:7

Step-by-step explanation:

We see that the ratio from women:children is 13:4.

Therefore, the number of women is 13.

In the ratio comparing men to children we see that it is 7:3.

Therefore, the number of men is 7.

Now we need to compare the number of women to the number of men which is 13:7.

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

54.4

Step-by-step explanation:

64% is 0.64 in decimal form. So, you just simply multipy 0.64 by 85 to get 54.4.

Answer:

hello :)

It would be A). C). and E).

Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

Answer:

answer is c-(2,3)

Step-by-step explanation:

......................m

The number 2755 flights were scheduled.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Recently many airlines have had to cancel flights in a single day.

Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.

The number of flights scheduled,

= 416 x 100/ 15.1

= 41600/15.1

= 2754.96

≈ 2755

Therefore, 2755 flights were scheduled.

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The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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Answer:

Step-by-step explanation:

\( \sf{x - 2} \: and \: { {x}^{2} + x - 6}\)

To find the H.C.F of the algebraic expressions, they are to be factorised and a common factor or the product of common factors is obtained as their H.C.F

Let's solve

First expression = x - 2

Second expression = x + x - 6

Here, we have to find the two numbers which subtracts to 1 and multiplies to 6

= x + ( 3 - 2 ) x + 6

Distribute x through the parentheses

= x + 3x - 2x + 6

Factor out x from the expression

= x ( x + 3 ) - 2x + 6

Factor out -2 from the expression

= x ( x + 3 ) - 2 ( x + 3 )

Factor out x+3 from the expression

= ( x + 3 ) ( x - 2 )

Here, x - 2 is common in both expression.

Thus, H.C.F = x - 2

Hope I helped!

Best regards!!!

Answer:

x - 2

Step-by-step explanation:

by factorization method

1) x - 2

2) x^2 + x - 6

by splitting method

x^2 + 3x - 2x - 6

taking separate common from the first two terms and last two terms

x(x + 3) - 2(x + 3)

now writing x+3 once and the other term to get the right answer

(x + 3)(x - 2)

in both parts just see the similar term and write it as HCF

HCF= x - 2

and the second method by which you can get this answer is division method

Answer:

A, y= -6x + 2

Step-by-step explanation:

1. Put the equation into slope intercept form

6y = 9 - x

y= -1/6x + 9/6

The slope of equation 1 is -1/6

2. A perpendicular line is the inverse slope of our firsy equation. (-1/6)^-1 = -6.

3. The y intercept of a line in slope intercept form is the b value in the equation as written:

y=mx+b

Therefore, if m=-6 and b=2, our equation is

y= -6x + 2

Answer:

13/15

Step-by-step explanation:

We Know

2/3 of them are chocolate chip cookies.

1/5 of them are sugar cookies.

What fraction of the cookies are chocolate chip or sugar?

2/3 + 1/5 = 10/15 + 3/15 = 13/15

So, 13/15 of the cookies are chocolate chip or sugar.

I'm going to try my best to explain 90° rotation:

So, you know that if you rotate something 180°, it's completely flipped (think about spinning around half-way).

Or if you spin something 360°, you spin around the whole way and end up in the same spot that you did when you started.

Notice how 90 is actually 1/4 of 360.

So imagine spinning instead of 180, spinning half of that. so you barely rotate. That's exactly what you're doing to this shape here. and if you do it about the origin counterclockwise, the origin is (0,0) so I drew it in Quadrant III, as you can see in my attachment.

You can see that every point has been moved by 90°, I put all of the variables there so you could visualize it better!

I hope this helped, let me know if you have any questions! :)

The expression when simplified is 6x^8y^3

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

(2x5y2)(3x3y)

Express properly

So, we have

(2x^5y^2)(3x^3y)

Evaluate the products

This gives

6x^(5+3)y^(2+1)

So, we have

6x^8y^3

Hence, the expression is 6x^8y^3

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Answer:

B

Step-by-step explanation:

took the test xx

Answer:

80 KG :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

You've plotted 3 points where x = 0, 1 and 2

= where y = 1, 1 1/2 and 9/4

They are correct.

I suggest you plot 1 more where x = -1 and another where x = 3

Where x = -1 , y = (3/2)^-1 = 2/3.

x = 3 , y = (3/2)^3 = 27/8 = 3 3/8.

Answer:

Top left one on the attached, must be option A

Step-by-step explanation:

A function has to have unique input values and for each input value has to have an output value.

Analyzing the graphs we can see that only one of them is a function- top left one

All the others have repeat input values, therefore are not functions

All those points marked with red circle

Refer to attached

Answer:

Area = 240 cm²

Step-by-step explanation:

Area of the shape = area of rectangle + area of triangle

= L*W + ½*bh

L = 18 m

W = 10 m

b = 10 m

h = 30 - 18 = 12 m

Plug in the values

Area of the shape = 18*10 + ½*10*12

= 180 + 60

= 240 cm²

Option a. The equation that is used to show the graph of the limacon is given as r = 1 + 3 sin theta.

We have these ppoints [-5,5] by [-5,5]

The limacoin is used to represent a shape that may appear like that of a snail.

This is written in the form of

r = a ± b sin θ

and

r = a ± b cos θ

Given that we have the ± sign, the curve that is at the top of the horizontal; line is the + sign and the one below is the -

If a/b < 1 then a circle is within the circle that was formed as a graph.

Hence from the description that we have given here, the graph has the forms of

r =  a + b sin θ

This is the equation that can be used to suit the form r = 1 + 3 sin theta

Hence option a is right.

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The correct graph of the function x² + 4x + 3 is attached

A negative coefficient of "a" is attached to the plotted graph and this made the plotted graph to open downwards

The axis of symmetry x = - b/2a

where b = 4 and a = 1

x = - 4/2(1)

x = -2

The y coordinate is

f(-2) = x² + 4x + 3

f(-2) = (-2)² + 4 *-2 + 3

f(-2) = 4 - 8 + 3

f(-2) = -1

hence the vertex is (-2, -1)

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Answer:

it would be 0.3 with bar notation

Step-by-step explanation:

Answer:

1/ 27

Step-by-step explanation:

Hope it helps