Find the equation of a line parallel to y = x - 2 that passes through the point (-2,-8).

Answer:

78.5

Step-by-step explanation:

The probability of scoring 1 , 3 or 5 points is 78.5% ( optionD)

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and it's 100% in percentage.

probability is expressed as;

probably = sample space/total outcome

The area of the square is expressed as;

A = l²

= 20 × 20

= 400cm²

The area of the biggest circle is 314 cm²

The probability of scoring 1, 3 or 5

= 314/400 = 0.785

in percentage = 0.785 × 100

= 78.5%

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Answer:

x = 3

Step-by-step explanation:

The measure of the inscribed angle is half of measure of the intercepted arc .

Find the half of 192.

192/2 = 96

The inscribed angle is 96°.

Create an equation and solve for x.

31x + 3 = 96

31x + 3 - 3 = 96 - 3

31X = 93

31x/31 = 93/31

x = 3

Answer: Yes

Step-by-step explanation:

Step #1: Lacey has 2 3/4 yards of wrapping paper remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. First, you must find the total number of yards of wrapping paper needed for six boxes.

Number of boxes * Number of wrapping paper required for each box

6 x 3/8 = 9/4

Step #2: Subtract the number of yards of wrapping paper remaining by the total number of wrapping for 6 boxes.

2 3/4 - 9/4 = 1/2

Step #3: Determine and solve whether Lacey will have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper. To solve, subtract the remaining amount of wrapping paper by the amount of wrapping required for a book.

1/2 - 1/2 = 0

So, yes Lacey will have just enough wrapping paper to also wrap a book that requires 1/2 yard of paper.

Answer:

10. s = 1.50x

11. s = 28x + 5

Step-by-step explanation:

10. s (money); so multiply x (the amount of pencils) by the price which is 1.50. Which is equal to 112.50.

11. s (money); multiple x (the amount of shoes) by the price, 28, which equals 84. Then add 5 for the shipping. This equals 89.

Answer:

100.

Step-by-step explanation:

The 2 smaller triangles are similar, so:

48 / (x - 64) = 64 / 48

64(x - 64) = 48^2

x - 64 = 48^2/64

x = 48^2/64 + 64

= 100.

Answer:

  (e)  0.75

Step-by-step explanation:

The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.

The correlation coefficient of the z-scores is 0.75.

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics = }}}}}}}[/tex]

(3×2-2)+(5×2+5×-1)=

(6-2)+(10-5)=

4+5=

[tex] \bf \textcolor{green}{ \underbrace{9}}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:(3 \times 2 - 2) + (5 \times 2 + 5 \times ( - 1))[/tex]

Use BODMAS/PEDMAS rule here :

[tex]\qquad \sf  \dashrightarrow \:(6- 2) + (10 + ( - 5))[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 + (10 - 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:9[/tex]

Hope it helps you ~

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

21b-32+7b-20b=

21b + 7b - 20b - 32

       8b            - 32

Hello!

21b-32+7b-20b=

21b +7b -20b -32

= 28b -20b - 32

= 8b -32

Answer:

The answer is 12

Step-by-step explanation:

1/2x 12 = 6

6/2-2+11 = 12

The final answer is 12

Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

Answer:

The slope is -1

Step-by-step explanation:

Formula for finding slope: [tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1}[/tex]

we got the points:

(−2,−4) and)(3,−9)

let's plug them in.

[-9-(-4)] / [3-(-2)] =

-5 / 5 = -1

Answer:

Step-by-step explanation:

take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6).

In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:

P'(x,y) = P(x,y) + T(x,y)   (1)

Where:

If we know that P(x,y) = (5, -6) and T(x,y) = (-4, 0), then the image point is:

P'(x,y) = (5, -6) + (-4, 0)

P'(x,y) = (1, -6)

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6). [tex]\blacksquare[/tex]

Statement is incorrect and poorly formatted. Correct form is shown below:

What is the image point of (x, y) = (5, -6) after the transformation of translating horizontally the point -4 units to the y-axis?

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Ginger can have 7 dimes and 7 pennies while Caleb can have 3 quarters and 2 pennies.

An equation is an expression used to show the relationship between two or more numbers and variables.

Ginger and Caleb each have $0.75

Ginger does not have any quarters. He might have 7 dimes and 7 pennies.

Caleb does not have any dimes. He can have 3 quarters and 2 pennies.

Ginger can have 7 dimes and 7 pennies while Caleb can have 3 quarters and 2 pennies.

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Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}[/tex]

Answer:

20 meters

Step-by-step explanation:

The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².

The wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.

Therefore,

surface area of rectangular prism = 2(lw + lh + hw)

where

l = 156 cm

w = 122 cm

h = 95 cm

surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))

surface area of rectangular prism = 2(19032 + 14820 + 11590)

surface area of rectangular prism = 2(45442)

surface area of rectangular prism = 90884 cm²

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Answer:

The answer is D

Step-by-step explanation:

The parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.

It is given that the two functions one is the parent function [tex]\rm y = \sqrt[3]{-x}[/tex] and the transformed function [tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex].

It is required to find the transformation rules.

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have parent function:

[tex]\rm y = \sqrt[3]{-x}[/tex]

and transformed function:

[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex]

If we multiply the parent function with a negative value it will f(x) over the x axis.

By the transformation rules of the function y = -f(x) reflects f(x) over x-axis.

After applying the transformation to the parent function:

[tex]\rm y = -\sqrt[3]{-x}[/tex]

By the transformation rules of the function if multiply the function with less than the unit value it will be compressed by the multiplied factor ie.

y = k f(x) and k<1, the function will be compressed by the k factor hence:

[tex]\rm y = -0.4\sqrt[3]{-x}[/tex]  (after applying the second transformation)

As we can see the transformed function is subtracted by -2

By rules of transformation, for y=f(x-A) it would be a horizontal translation of 'A' unit to the right.

After applying this transformation we get:

[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex]  which is a transformed function derived after applying the transformation to the parent function.

Thus, the parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.

Learn more about the function here:

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Answer:

The answer is A since it does the same movements twice. Think of it like flipping a coin, then actually taking the coin and flipping it back over regardless of what it lands on.

Step-by-step explanation:

Hope this helps have a good rest of your day

Check the picture below.

Answer:

Domain: -5, -2, 1, 5

Range: 10, 11, 4, 10

To get the function, you need to create an equation.

Step-by-step explanation:

For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.

Answer:

See below ↓

Step-by-step explanation:

We need to prove :

⇒ cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex] = tan⁻¹ [tex]\frac{56}{65}[/tex]

Let's simplify the LHS.

Convert the inverse cos and sin functions into inverse tan functions

Identity

Using this identity, we can simplify our earlier equation!

⇒ tan⁻¹ [(5/12 + 3/4)/(1 - (5/12 x 3/4))]

⇒ tan⁻¹ [(20 + 36) / (48 - 15)

⇒ tan⁻¹ (56/65)

⇒ RHS

⇒ Proved ∴√

[tex]\text{L.H.S}\\\\=\cos^{-1} \dfrac{12}{13} + \sin^{-1} \dfrac 35\\\\=\sin^{-1} \dfrac 5{13} + \sin^{-1} \dfrac 35\\\\[/tex]

[tex]=\sin^{-1}\left[\dfrac 5{13}\sqrt{1- \left(\dfrac 35 \right)^2} + \dfrac 35\sqrt{1-\left(\dfrac 5{13} \right)^2} \right]\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{1-\dfrac 9{25} }+\dfrac 35 \sqrt{1-\dfrac{25}{169}} \right)\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{\dfrac{16}{25}}+\dfrac 35 \sqrt{\dfrac{144}{169}} \right)\\\\=\sin^{-1} \left(\dfrac{5}{13} \cdot \dfrac 45 + \dfrac 35 \cdot \dfrac{12}{13} \right)\\[/tex]

[tex]=\sin^{-1} \left(\dfrac 4{13} +\dfrac{36}{65}\right)\\\\=\sin^{-1} \left(\dfrac{20}{65} + \dfrac{36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{20+36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{56}{65} \right)\\\\=\text{R.H.S}[/tex]

we can always get the common ratio of a geometric sequence by simply dividing the current term by the previous term, in this case for the sake of simplicity let's divide 2/3 by 2, so  

[tex]\cfrac{2}{3}\div 2\implies \cfrac{2}{3}\div \cfrac{2}{1}\implies \cfrac{2}{3}\cdot \cfrac{1}{2}\implies \cfrac{1}{3}\impliedby \textit{common ratio}[/tex]

so the sequence more or less looks like   [tex]2~~,~~\cfrac{2}{3}~~,~~\cfrac{2}{9}~~,~~\cfrac{2}{81}~~,~~\cfrac{2}{243}[/tex]

so we'd want the sum of the first 5 terms

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio} \end{cases} \\\\\\ S_5=2\left( \cfrac{1~~ - ~~(\frac{1}{3})^5}{1~~ - ~~\frac{1}{3}} \right)\implies S_5=2\left( \cfrac{~~\frac{242}{243}~~}{\frac{2}{3}} \right)\implies S_5=\cfrac{242}{81}\implies S_5=2\frac{80}{81}[/tex]

Answer:

114

Step-by-step explanation:

just add all sides together.

Answer:

91 cm

Step-by-step explanation:

Perimeter is adding all of the side lengths:

8+32+10+10+4+4+23=91

Don't forget to add the unit:

91 cm

Answer:

1/8

Step-by-step explanation:

●●○•°°°□□●○○○○○••••

Answer:

He has 4 full boxes

6 Apple pies are leftover

Step-by-step explanation:

42/9 = 4.67 How many full boxes can he fill

9 X 4 = 36 He filled out 4 full boxes

42-36=6 Total - Filled = Remainder

Answer:

she has 4 full boxes of applepies and she has 6 leftover apple pies

Step-by-step explanation: