8 out of 15
Select the graph that represents the inequality.
2x+3y>6

Explanation:

[tex]\boxed{\sf \sum _{n=1}^{32}\left(2n+8\right)}[/tex]

Formula Required:

[tex]\sf sum \ of \ arithmetic \ series = \dfrac{n}{2} (2a \ + \ (n-1) \ d)[/tex]

Identify the following's:

Insert variables:

[tex]\rightarrow \ \sf S_{32} = \dfrac{32}{2} (2(10) + (32-1) 2) \quad \xrightarrow{\text{Simplify} } \quad 1312[/tex]

Answer:

(a) y = 25°

(b) x = 90°

(c) z = 25°

Step by step explanation:

Part A

z + 90° + 65° = 180°

z = 180° - 65° - 90°

z = 25°

Part B

x + 90° = 180°

x = 90°

Part C

x + 65° + y = 180°

90° + 65° + y = 180°

y = 25°

A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.

Answer (Step-by-step explanation):

so X is horizontal and Y is vertical.  (X,Y) because X comes first and Y comes last and all you need to do is make sure your points are correct and that the best of my ability, you can also try drawing lines to each pin point and you can estimate these (X,Y) because X=? and Y=? so good luck i hope that helps! (:

Answer:

59% chance

Step-by-step explanation:

Statistics from the past ten years predict that the chance of rain on any single day in April in Asha’s hometown is 41%. If Asha’s birthday is April 10, what is the chance of it not raining on Asha’s birthday?

Asha's birthday in in April. The chance of rain on any single day in April is 41%. So, there is a 41% chance of rain.

But, that's not what the problem is asking for. The problem is asking for the chance of not raining. To solve for this, we use simple algebra.

100%(all of the time) - 41%(how much it happens) = 59%

The 59% is the chance of it not raining on Asha's birthday.

Hope this helps! Happy birthday, Asha!

Answer:

14

Step-by-step explanation:

i think 14 because you have to times two answers and add them form each number

Given :-

To Find :-

Solution :-

Firstly lets calculate radius of cylinder by using formula of volume of cylinder, as we know that;

Putting all values we get;

➸ 245π = π × r² × 5

By cutting 'π' with 'π' we get;

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(7 × 7) = r²

➸ 7 = r

➸ r = 7 units

Now lets calculate its diameter, as we know that;

Putting all values we get;

➸ Diameter = 7 × 2

➸ Diameter = 14 units

Answer:

5x + [tex]\frac{1}{8}[/tex]y = 3/8

Step-by-step explanation:

Add [tex]\frac{5x}{8}[/tex] to both sides

[tex]\frac{5x}{8}[/tex] + y = 3

Divide both sides by 8

5x +  [tex]\frac{1}{8}[/tex]y = 3/8

Step-by-step explanation:

standard form is given by Ax + By = C

hence,

the answer is:

5x + 8y = 24

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

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Answer:

(x-9)(x-5)

Step-by-step explanation:

x²-5x-9x+45

x(x-5)-9(x-5)

(x-9)(x-5)

Answer:

(x-9)(x-5)

Step-by-step explanation:

To factor this expression, you need to find two values that have a sum of -14 and also have a product of 45. The values -5 and -9 meet these requirements and become the constants in the two factors of the expression,

x2 − 14x + 45 = (x − 9)(x − 5).

60/4= 15

15 x 3 =45 minutes

The length of the chord AC in the circle is 24 units.

Chords are line segment joining any two sides of a circumference of a circle.

The radius of a circle is half of diameter of the circle.

Therefore, a radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

Hence, the radius that runs through M is perpendicular to the chord AC. Therefore, the chord AC is divided into two halves namely AM and MC.

Hence,

AC = AM + MC

AC = 12 + 12

AC = 24 units

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(-5)²

= (-5)×(-5)

= 25

-> E

Answer:

E. 25

Step-by-step explanation:

A negative times a negative equals a positive. And a squared number is the number inside the parentheses time that number.

Example:

-5×-5=25

Answer: Heyaa! ~

Your Answer is... -32

Step-by-step explanation:

Hopefully this helps you! ^

Parallel lines have equal slope so

Lets check

Now

Lines are parallel

Answer:

The two lines are parallel

Step-by-step explanation:

If two lines are parallel, they have the same slope.

If two lines are perpendicular, the slopes will be negative reciprocals (the product of the slopes will be -1).

Given slopes:

[tex]\sf m_1=\dfrac{3}{4}[/tex]

[tex]\sf m_2=\dfrac{12}{16}[/tex]

Reduce m₂ to its simplest form by dividing the numerator and denominator by the largest common factor:

[tex]\sf m_2=\dfrac{12 \div 4}{16\div 4}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\sf as \quad \dfrac{3}{4}=\dfrac{3}{4} \implies m_1=m_2 \quad[/tex]

As the given slopes are the same, the two lines are parallel.

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=12\\ h=9 \end{cases}\implies V=\pi (12)^2(9)\implies V=1296\pi ~m^3[/tex]

Answer:

727

Step-by-step explanation:

6^3-106^2=216+360=576+168=744-17=727

Scientific Notation is EASY.

Just move the decimal to the right if it is positive:

6.2 x 10¹ = 62

6.2 x 10² = 620

6.2 x 10³ = 6,200

6.2 x 10⁴ = 62,000

6.2 x 10⁵ = 620,000

6.2 x 10⁶ = 6,200,000

Move the decimal to the left if it is negative:

6.2 x 10⁻¹ .62

6.2 x 10⁻² = .062

6.2 x 10⁻³ = .0062

6.2 x 10⁻⁴ = .00062

6.2 x 10⁻⁵ = .000062

6.2 x 10⁻⁶ = .0000062

What about about 6.2 x 10⁰?

6.2 It wouldn't change location.

I hope this helps!

The correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

The fraction is defined as the division of the whole part into an equal number of parts. here we have the following information Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction.

E =  [tex]\dfrac{5}{8}\times \dfrac{8}{9}[/tex] = 0.55

Thus the product of the fraction estimated in the nearest half is,

0.5×1= 0.50

Therefore the correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

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Answer: B

Step-by-step explanation: took test/quiz

Answer:

Step-by-step explanation:

We will see that, when evaluated in x = 0, g(x) is larger than f(x).

First, we can see that:

g(x) = x + 3

Then, evaluating it in x = 0 we get:

g(0) = 0 + 3 = 3

Now, if we go to the table that represents f(x), we can see that it has the point (0, -6).

Then we can get:

f(0) = -6

With that, we can conclude that: g(0) > f(0), so the correct option is the first one.

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Answer:

13,254

hope this helps :)

please crown me brainliest!

A slope is also known as the gradient of a line. The slope of line P is 3/4.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

As it is known that for two perpendicular lines the slope of the lines will be negative reciprocal of each other. The slope of line 4x+3y=12 can be written as,

y = 4 - (4/3)x

m₁ = -1/m₂

-(4/3) = -1/m₂

m₂ = 3/4

Hence, the slope of line P is 3/4.

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Applying the difference, it is found that the other trinomial could be given by: 8x² + 9x - 9.

We are working with second degree trinomials, hence:

Hence:

ax² + bx + c - (3x² - 2x + 7) = 5x² + 11x - 16.

(a - 3)x² + (b + 2)x + c - 7 = 5x² + 11x - 16.

Then:

Then, the trinomial is:

8x² + 9x - 9.

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Yes

Step-by-step explanation:

its a direct-variation function

Answer:

B. 2376 Square feet

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

Answer:

h = 11 units

Step-by-step explanation:

Volume of a Rectangular Pyramid = lwh/3

220 = 6*10*h/3

(220) * (3) =  ((6)*(10)*(h) / 3) * 3

660 = (6) (10) (h)

Simplify both sides of the equation.

660 = 60h

h = 11 units

Answer:

[tex]972\pi~ \text{in}^3[/tex]

Step-by-step explanation:

[tex]\text{Volume of sphere} = \dfrac 43 \pi r^3 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac 43 \pi \left( \dfrac d{2} \right)^3\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac 43 \pi \cdot \left(\dfrac{18}{2}\right)^3\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{4\pi}3 \cdot 9^3 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=972\pi~ \text{in}^3[/tex]