Please answer quick and show work !

The price of a bicycle that ms. motyka wants to buy is $282. How much will she pay for the bicycle if there is a 4% sales tax.

Answer:

[tex]y=3x-1[/tex]

Step-by-step explanation:

lines that are parallel have the same gradient

using this fact we can create the equation:

[tex]y=3x+c[/tex]

and substitute in our values

[tex]2=3+c[/tex]

[tex]c=-1[/tex]

so the equation of the line is [tex]y=3x-1[/tex]

Answer:

D

Step-by-step explanation:

π/3

Coterminal angle:-

Or

Option D

Given matrices are from here

https://brainly.com/question/18267865

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Problem 3

a)

B - C = DNE

We cannot subtract matrices of different sizes. Matrix B is 2x2 while C is 3x2. Both matrices must have the same number of rows, and they must also have the same number of columns. The matrices don't have to be square.

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b)

[tex]A+B = \begin{bmatrix}-5 & 6\\7 & 4\end{bmatrix}[/tex]

You add the corresponding elements. For instance, in the top left corner we have -1+(-4) = -5. The other entries are treated in a similar manner.

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c)

[tex]-2E = \begin{bmatrix}6 & -4 & 8\\-12 & 14 & -16\\-10 & -18 & 20\end{bmatrix}[/tex]

You get this from multiplying each entry in matrix E by -2. Eg: top left corner has -2*(-3) = 6

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d)

[tex]CD = \begin{bmatrix}4 & 7 & 8\\ 1 & 3 & 4\\14 & 17 & 16\end{bmatrix}[/tex]

Matrix C has 3 rows and D has 3 columns. The final answer will be size 3x3

To generate each value in the answer matrix, you'll highlight rows of C to pair with columns of D. Then you'll multiply out the corresponding values, after which you add those products. This is done for every entry in the answer shown above.

For example, the first row of C is highlighted and the second column of D is highlighted. Those values pair up and multiply getting -1*(-1) + 2*3 = 1+6 = 7, which goes in the first row and second column of the answer matrix. The other entries are handled in a similar fashion.

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e)

[tex]\det(B) = -46[/tex]

The 2x2 matrix determinant formula is [tex]\begin{vmatrix}a & b\\c & d\end{vmatrix} = a*d - b*c[/tex]

In this case, a = -4, b = 6, c = 5, d = 4.

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f)

[tex]B^{-1} = \begin{bmatrix}-2/23 & 3/23\\ 5/46 & 2/23\end{bmatrix}[/tex]

Swap the top left and bottom right corners of matrix B. Change the sign of the other two corner values. Then multiply each entry by 1/d where d is the determinant found back in part (e) above. Be sure to reduce any fraction as much as possible.

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Problem 4

Answers: x = 2  and y = -10

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Work Shown:

[tex]\begin{bmatrix}2x & 4\\-5 & -2\end{bmatrix}+\begin{bmatrix}3 & -7\\11 & y-1\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & 4+(-7)\\-5+11 & -2+(y-1)\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & -3\\6 & y-3\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\[/tex]

In the top left corners of each matrix, in line 3, we have 2x+3 = 7 which solves to...

2x+3 = 7

2x = 7-3

2x = 4

x = 4/2

x = 2

In the bottom right corners, we have y-3 = -13 which solves to....

y-3 = -13

y = -13+3

y = -10

Step-by-step explanation:

[tex](4n - 5) {}^{2} [/tex]

4 times a number implies it's multiplied by 4

5 less is simply -5

and square all that to get (4n-5)²

This is my best guess

Answer:

20m

Step-by-step explanation:

Perimeter is the sum of all the sides.

Perimeter = 3+5+1+7+4 = 20m

Answer: Katherine should reject the null hypothesis.

Step-by-step explanation:

We reject the null hypothesis when p-value is less than the significance level.

here,  H0:μ=329 versus Ha:μ<329

α=0.05 (significance level)

p-value<0.005

so , we should reject the null hypothesis as p-value is less than the significance level.

Hence, Katherine should reject the null hypothesis.

Answer:

M<1 = 120° therefore, M<7 = 120°

M<1 = 120° therefore, M<5 = 120°

we know that π/2 < θ < π, which is another way of saying that θ is in the II Quadrant, so half that angle will most likely be located on the I Quadrant, where cosine as well as sine are both positive.

Now, let's keep in mind that θ itself is in the II Quadrant, where the cosine is negative whilst the sine is positive.

[tex]\textit{Half-Angle Identities} \\\\ sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{hypotenuse}{25}}\qquad \textit{let's now find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\pm\sqrt{25^2-7^2}=a\implies \pm\sqrt{576}=a\implies \pm 24=a\implies \stackrel{II~Quadrant}{-24=a} \\\\[-0.35em] ~\dotfill\\\\ cos(\theta )=\cfrac{\stackrel{adjacent}{-24}}{\underset{hypotenuse}{25}} \\\\\\ sin\left(\cfrac{\theta}{2}\right)\implies \pm \sqrt{\cfrac{1-\left( -\frac{24}{25} \right)}{2}}\implies \pm \sqrt{\cfrac{1 +\frac{24}{25} }{2}}[/tex]

[tex]\pm\sqrt{\cfrac{~~\frac{49}{25} ~~}{2}}\implies \pm\sqrt{\cfrac{49}{50}}\implies \stackrel{I~Quadrant}{+\sqrt{\cfrac{49}{50}}}\implies \cfrac{\sqrt{49}}{\sqrt{50}}\implies \cfrac{7}{5\sqrt{2}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{7}{5\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{7\sqrt{2}}{5\sqrt{2^2}}}\implies \cfrac{7\sqrt{2}}{10}[/tex]

Answer:

x=-8

Step-by-step explanation:

Answer:

[A] 9 minutes to complete one task

[B] 6 tasks completed, with 2/3rds of another task completed.

Step-by-step explanation:

5 tasks in 45 mins is equal to one task in 9 minutes

60 minutes in an hour, 9 minutes per task = 6 tasks completed, with 2/3rds of another task completed.

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex](x)(y)=9(4)[/tex]

[tex]\sqrt{x^2} =\sqrt{36}[/tex]

[tex]x=6[/tex]

~

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

It's the 4th one because it's the only one that rotated at 90° clockwise and around the origin.

Answer:

41

Step-by-step explanation:

Answer:

the value of x is 41°

Step-by-step explanation:

x + 76°+63° = 180°{being straight angle}

or, x+139° = 180°

or, x = 180° - 139°

or, x = 41°

In a straight line, all angles sum up to 180°

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[tex]\hookrightarrow \sf x +\dfrac{1}{4} x = 180[/tex]

[tex]\hookrightarrow \sf \dfrac{4x}{4} +\dfrac{1}{4} x = 180[/tex]

[tex]\hookrightarrow \sf \dfrac{4x+x}{4} = 180[/tex]

[tex]\hookrightarrow \sf 4x+x= 180(4)[/tex]

[tex]\hookrightarrow \sf 5x= 720[/tex]

[tex]\sf \hookrightarrow x = 144[/tex]

Answer:

x = 144°

Step-by-step explanation:

Since the larger line is a straight line, ∠1 and ∠2 are a linear pair. A linear pair is such a pair where two angles sum up to 180°.

⇒ ∠A + ∠B = 180°

Substitute the measure of ∠A and ∠B

⇒ x + x/4 = 180°                                                                    [∠A = x; ∠B = x/4]

⇒ 4x/4 + x/4 = 180°                                                           [Rewrote x as 4x/4]

⇒ 5x/4 = 180°

Using cross multiplication

⇒ 5x = 180 × 4 = 720

⇒ x = 720/5 = 144°

Step-by-step explanation:

the answer is in the picture

Answer:

C) Negative

Step-by-step explanation:

This is because the top is left and going right

Answer:

negative

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

edg 2021

Answer:

no

Step-by-step explanation:

because it is nor a solution

Answer:

8 [tex]\frac{3}{4} \\[/tex]

Step-by-step explanation:

Going from left to right on the number line we see that k is between 8 and 9. So 8 will be your whole number.  The number line is divided into 8 sections between each whole number and k is located 6/8 between 8 and 9.  

This mixed number is 8 6/8. We can reduce the 6/8 to 3/4 by dividing by 2 on the top and bottom.  So your final answer is 8 3/4.

Answer:

36, y = 10, and z = -25

Step-by-step explanation:

99 and -3z +6 are same side interior angles, so they sum to 180 degrees.

99 -3z + 6 = 180

-3z = 75

z = -25

Opposite angles of a parallelogram are congruent

2x + 9 = -3x + 6

2x + 9 = 75 + 6

2x = 81 - 9

2x = 72

x = 36

9y + 9 = 99

9y = 90

y = 10

Answer:

If the Payans make a 15% down payment of $1,237.18, their monthly payment will be $35.

Hope this helps!

Answer:

A

Step-by-step explanation:

Reflects across the y axis then rotates 180 degrees.

Answer:

reflection then rotation

Step-by-step explanation:

because to get 2 you reflect then 3 is rotated

Answer:

1. 3/6

2. 2/4

3. 4/6

4. 3/6

Step-by-step explanation:

multiple each fraction by the number of parts I pretty sure

Step-by-step explanation:

take the right triangle

15^2 = 9^2 + x^2

225 = 81 + x^2

x = 12

area of square b = 144

Answer:

$33.84 cents

Step-by-step explanation:

Given the following question:

4 gallons = 15.04
1 gallon = ?

How much for 9 gallons?

To find the answer we have to find how much one-gallon costs since we already know how much it costs for 4 gallons of this unleaded gasoline.

[tex]15.04\div4[/tex]
[tex]15.04\div4=3.76[/tex]
[tex]=3.76[/tex]

One gallon of this gasoline costs $3.76 now we need to find how much it costs for 9 gallons.

[tex]3.76\times9=33.84[/tex]
[tex]=33.84[/tex]

For nine gallons of gasoline it will cost you "$33.84 cents."

Hope this helps.

The cubic feet of space that is in the subway car is the volume of the subway car which is 5,502.

The shape of a subway car is in the form of a rectangular prism. In order to determine the cubic feet of space, the volume of the car has to be determined. The formula for the volume of a rectangular prism would be used.

Volume = width x height x length

12 x 51 x 8.5 = 5205

Here is the complete question:

The floor of an NYC subway car measures approximately 51 feet by 8.5 feet. The height of the NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747