3(x+1)=5(x−2)+7
solve for x

Step-by-step explanation:

2) 8,6,5,3 ,57 7,4,2/8

=92/8

mean =11.5

Arrange the terms in ascending order

2,3, 4, 5, 6, 7, 8, 57

the median of the ascending set= 5.5

3) 72 75 85 82 37 108/ 6

459/6

mean =76.5

Arrange the terms in ascending order

37, 72, 75, 82, 85, 108

the median of the ascending set= 78.5

4) 10 students were asked because there were 10 data values in the list.

5) it should be 55/10 =5.5

so its false

6) Sum first and find the mean number

5+4+3+2+1/5

=3

[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]

x = a and y = b

Step-by-step explanation:

The value of x and y

⠀

ax + by = a² + b² (equation 1)

bx - ay = 0 (equation 2)

⠀

{Taking equation 2}

[tex] \sf bx - ay = 0 [/tex]

{Taking ay on RHS}

[tex] \sf bx = ay[/tex]

{Dividing both sides by a}

[tex] \sf \frac{bx}{a} = y(equation \: 3)[/tex]

{Now substituting the equation 3 in equation 1}

[tex] \sf ax + b( \frac{bx}{a} ) = {a}^{2} + {b}^{2} \\ \\ \sf ax + \frac{ {b}^{2} x}{a} = {a}^{2} + {b}^{2} [/tex]

{Taking LCM on LHS}

[tex] \sf \frac{ {a}^{2}x + {b}^{2} x }{a} = {a}^{2} + {b}^{2} \\ \\ \sf \frac{x( {a}^{2} + {b}^{2}) }{a} = ( {a}^{2} + {b}^{2} )[/tex]

{Dividing by (a² + b²) both sides}

[tex] \sf \frac{x}{a} = 1 \\ \\ \green{\boxed {\tt{x = a} } }[/tex]

{Now substituting the value of x in equation 3}

[tex] \sf \frac{ba}{a} = y \\ \\ \green {\boxed{ \tt{y = b}} }[/tex]

Answer:

Area = 28 cm^2

Step-by-step explanation:

Triangle Area = 1/2 * 5 * 4 = 10 cm^2

Big Rectangle = 4 * 3 = 12 cm^2

Small Rectangle = 4 * 1.5 = 6 cm^2

Total Area = 10 + 12 + 6 = 28 cm^2

Answer:

Step-by-step explanation:

Discussion

Area of the Triangle

3 4 5 is the first triangle most people encounter when they begin their study of the Pythagorean Theorem. You can show this to be true by trying it.

c = 5

b = 3

a = 4

c^2 = a^2 + b^2           Equation  Substitute values

c^2 = 3^2 + 4^2           Expand

c^2 = 9 + 16                 Combine

c^2 = 25                       Take the square root of both sides.

√c^2 = √25

c = 5                     Which is exactly what you are given.

A right triangle has the property of Area = 1/2 * a * b using the values given above.

Find the area of the triangle

Area = 1/2 a * b                          

Area = 1/2 3 * 4                                                    

Area =                                                               6

Find the area of the rectangle

L = 3 + 1.5 =4.5                        Just add the two parts of the vertical line together.

w = 8 - 4 = 4

Area of the rectangle = L * w   Substitute values

Area of the rectangle = 4.5 * 4

Area of the rectangle =                                18         Add

Total area                                                      24

Answer

24 cm^2

Answer:

[tex]32\sqrt{7}-24\sqrt{2}[/tex]

Step-by-step explanation:

[tex]8(4\sqrt{7}-\sqrt{18})\\\\8(4\sqrt{7}-3\sqrt{2})\\\\32\sqrt{7}-24\sqrt{2}[/tex]

Answer:

C

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr = πd ( d is the diameter and d = 2r ) , then

C = πd = 3.14 × 26 = 81.64 in

Answer:

Interquartile Range

Step-by-step explanation:

The answer is the interquartile range because there is an outlier.

The data has an extreme value, of 62, so the IQR is most appropriate for this data set. The only other time the IQR is appropriate is when the data is skewed.

Answer:

a pendulum consists of a mass hanging at the end of a string which is 18 cm long. find the vertical height through which the mass rises and falls as the pendulum swings through 30°on each side of the vertical.

Answer:

1. P = IRT

T = P/IR

2. A = 2(L + W)

L + W = A/2

W = A/2 - L

3. y = 5x - 6

x = (y +6)/5

4. 2x - 3y = 8

y = (2x - 8)/3

5. (x+y)/3 = 5

x = 5×3 - y

x = 15 - y

6. y = mx + b

b = y - mx

7. ax + by = c

by = c - ax

y = (c - ax)/b

Hope it helps!

[tex]f(x) = 3^x + \ln x -108 x\\\\f'(x) = 3^x \ln 3 + \dfrac 1x - 108\\\\f''(x) = 3^x \cdot 0+ \ln 3\cdot 3^x\cdot \ln (3)-x^{-1-1}-0= 3^x \cdot \ln^2 3 -x^{-2}\\ \\f'''(x) = 3^x \cdot 0 + \ln^2 (3) \cdot 3^x \cdot \ln (3) +2x^{-2-1} = 3^x \ln^3 (3)+2x^{-3}\\\\f''''(x) = 3^x \cdot 0 + \ln^3 (3) \cdot 3^x \ln(3) -3\cdot 2 x^{-3-1} = 3^x\ln^4 (3)-6x^{-4} \\\\\text{Hence the fourth derivative of f(x) is}~~ 3^x\ln^4 (3)-6x^{-4}.\\\\[/tex]

[tex]\textbf{Note:}\\\\\dfrac{d}{dx}(uv) = u \dfrac{dv}{dx} + v\dfrac{du}{dx}\\\\\dfrac{d}{dx} \ln (x) = \dfrac 1x\\\\\dfrac{d}{dx} a^x = a^x \ln a\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} (\text{Constant}) = 0[/tex]

The amount of the surface area covered with stickers is 0.6 or 60%

The amount of area to cover is given as:

Covered area = 3/5

Express as percentage

Covered area = 3/5 * 100%

Divide 3 by 5

Covered area = 0.6 * 100%

Evaluate the product

Covered area = 60%

Hence, the amount of the surface area covered with stickers is 0.6 or 60%

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Answer:

135.93

Step-by-step explanation:

I took the test

These same things are present

So

Answer:

[tex]\sf \overline{PQ}=12[/tex]

[tex]\sf \overline{UV}=10[/tex]

[tex]\sf \overline{TV}=7[/tex]

[tex]\sf m \angle T=45^{\circ}[/tex]

[tex]\sf m \angle R=75^{\circ}[/tex]

[tex]\sf m \angle Q=60^{\circ}[/tex]

[tex]\sf m \angle U=60^{\circ}[/tex]

Step-by-step explanation:

≅ sign means that the triangles are congruent, which means they both have the same shape and the same size.

When comparing congruent shapes, inspect the order in which the vertices are given in the statement.

Therefore, if ΔPQR ≅ ΔTUV then:

Similarly:

Therefore, from inspection of the triangles:

[tex]\sf \overline{PQ} \cong \overline{TU}=12[/tex]

[tex]\sf \overline{UV} \cong \overline{QR}=10[/tex]

[tex]\sf \overline{TV} \cong \overline{PR}=7[/tex]

[tex]\sf m \angle T \cong m \angle P=45^{\circ}[/tex]

[tex]\sf m \angle R \cong m \angle V = 75^{\circ}[/tex]

The sum of the interior angles of a triangle is 180°, therefore:

[tex]\sf m \angle Q \cong m \angle U=180^{\circ}-45^{\circ}-75^{\circ}=60^{\circ}[/tex]

Answers:

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

Explanations:

Answer:

First step, find the missing angle (you will need this later on)

We know that the sum of all angles in a triangle equals to 180°, so

180° - 65° - 40° = 75° *that's your angle (next to the point L)

Now, identify each side (as shown in my drawing attached to this message)

The law of sines tells us that

(for example) the side opposite to L (highlighted in pink in the drawing) divided by the sine of the angle at the point L (in our case, 75°) creates a ratio that remains the same for the other sides.

So,  

pink side (opposite to L)/ sin 75 (angle at L) = yellow side (opposite to J)/ sin 65 (angle at J) = blue side (opposite to K)/ sin 40 (angle at K)

*Careful, since we were not given the length of one side, you cannot find actual values for each side. Although, you can use the law of sines to logically find out which length is the longest and which one is the shortest.

*Notice that the sine of the angle relates to the length of the coloured sides

Calculate the following: sin 75, sin 40, sin 65.

Once you do that, you will realize that sin 40 = to the smallest value and that sin 75 gives you the largest value.

Thus, sin 40 < sin 65< sin 75

Which corresponds to (from smallest to largest):

blue side, yellow side, pink side

*Now, write your answer in a mathematical format (using J,L,K points)

blue = JL (explanation: it connects the two points, LJ is also a valid answer)

yellow = LK

pink= JK

ANSWER: JL, LK, JK

Step-by-step explanation:

Use the Law of Sines *because you don't have a right angle triangle.

The volume of the small-size box of dog treats will be equal to    V=8654.24 In³

Volume is defined as the space occupied by any body in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid

The volume of the rectangular box will be:-

V=LxWxH

V=314x712x12

So the volume of small size box will be:-

V=2682816÷310=8654.24

Hence the volume of the small-size box of dog treats will be equal to

V=8654.24 In³

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The “Volume” in finance means total shares traded during a certain time frame option (B) is correct.

To make a profit, share traders buy and sell the stock of companies listed on the stock exchange.

The number of shares traded in a certain stock, index, or other investment during a given period of time is known as volume.

Thus, the “Volume” in finance means total shares traded during a certain time frame.

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Answer:

3.5 m/hr  

Step-by-step explanation:

2 + c   =   5 -c           c = speed of current

2 c = 3      c = current speed = 1.5 m/hr

                         your speed =   5 - 1.5    (or  2 + 1.5)  =  3.5 m/hr

Answer: x^2  i think

Step-by-step explanation: "be the roots m = 2, n = 3 Sum of the roots = m + n = 2 + 3 m + n = 5 Product of the roots = mn = (2)(3) mn = 6 Standard form is x^2 - (m + n)"

Answer:

x=8

Step-by-step explanation:

Let's say this mystery number is x.

6 times this x is 16 less than the square of x so we can write this as:

[tex]6x = x^2 - 16[/tex]

We can then re-arrange this into a quadratic and simplify it so:

[tex]x^2 -6x-16 =0[/tex]

[tex](x-8)(x+2)[/tex]

x=8, x=-2

And since the question is asking for the positive solution,
x=8

Answer:

C. (0;0).

Step-by-step explanation:

(0;0) only.

if to substitute the given coordinates into the given inequality and calculate the result, then the left side equals to the right side. Except (0;0).

Answer:

D.

Step-by-step explanation:

it should be the sales tax because you pay a little bit more.

Answer:

36

Step-by-step explanation:

you do 4×9 = 36

she used 36 for each bag

Answer:

10 and please:

please see photo for detailed analysis

[tex]~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}[/tex]

Answer:

1. 1119.982

2. 315.266

3. 297.866

Answer:

1. 1119.982

2. 315.266

3. 297.866

Answer:

h=12

Step-by-step explanation:

by cross multiplying we get 1h=12 or h=12 so h=12

Answer:

so first do nothing and just fail health class

The value of y that satisfies given conditions is y = - 8.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

We also know that slope(m) = (y₂ -y₁)/(x₂ - x₁).

So, lines parallel to each other have the same slope hence to find the value of y we'll equate their slopes.

∴ (3 - 9)/(4 + 4) = (y - 1)/(4 + 8).

-6/8 = (y - 1)/12.

-3/4 = (y - 1)/12.

-36/4 = y - 1.

- 9 = y - 1.

 y = - 8.

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