What is the circumference of a circle with sector area 9π and arc measure 90 degrees?

Answers

Answer 1

By using the area of circle formula, the solution of the given problem of circle comes out to be 6 + π cm

Describe the circle.

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

A 9 Pi square centimeter circle's sector has a 60 degree center angle. The sector's exterior border is

Circle area is equal to. πR² = 9π

Circumference =2πR

=> 2π*3 = 6π cm

Arc length equals (60/360)*6 to cm

Arc's perimeter is calculated as follows: Radius + Length of Arc + Radius = π +3 + 3 = 6 +  π cm

Therefore , the solution of the given problem of circle comes out to be

6 + π cm.

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Answer 2

By using the area of circle formula and circumference of a circle formula, the solution of the given problem of circle comes out to be 12π cm

Describe the circle.

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

sector area of circle = 9π

arc measure = 90°

Area of sector  = (arc/360°)*πr²

⇒ 9π = (90°/360°)πr²

⇒ 9π = (1/4)πr²

⇒ 4*9π = πr²

⇒ 36 = r²

⇒ 6² = r²

r = 6

and Circumference of circle = 2πr

=> 2π*6 = 12π cm

Therefore , the solution of the given problem of circle comes out to be

12π cm.

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Related Questions

Select perpendicular lines from the given pair of lines :

Select one:

a.
y = − 3x + 7, y = 3x + 11


b.
y = 3x + 7, y = x / 3 + 11


c.
y = − 3x + 7, y = x / 3 + 11


d.
y = − 3x + 7, y = − x / 3 + 11

Answers

Answer:

The line pairs that are pendicular are shown in option c.

c.    y = − 3x + 7, y = x / 3 + 11

Step-by-step explanation:

Perpendicular lines have slopes that are the negative inverse of each other.  For example, a line with slope of 5 would have a line perpendicular to it if the second line has a slope of -(1/5)  [the negative inverse of +5].

Cmpare the slopes of each pair of linear equations:

a.  -3 and 3  The negative inverse of -3 would be (1/3), not 3.  These lines are not perpendicular.

b.  3 and (1/3).  The negative inverse of 3 would be -(1/3), not (1/3).  These lines are not perpendicular.

c.  -3 and (1/3).  The negative inverse of -3 would be (1/3).  These lines are perpendicular.

d.  -3 and (-1/3).  The negative inverse of - 3 would be (1/3).   These lines are not perpendicular.

5x - 7 = 5 - x
Using balancing method in algebra

Answers

Answer:

5x-7-5+X=5-x-5+X

or,6x-12=0

or,6x=12

or,X=12/6

:.X=2

6x=12=0
Or
X=12/6 and there is more ways but those are two ways

The length of the rectangle is X units more than its
width. The width of the rectangle is 11 units and the
length of the wire that is used to make this rectangle
is a maximum of 57 units. Represent this situation
using an inequality.

Answers

Answer:   [tex]2x+44 \le 57\\\\[/tex]

Explanation:

W = width

W = 11

L = length

L = width+x

L = 11+x

P = perimeter of the rectangle

P = 2L+2W

P = 2*(11+x)+2*11

P = 22+2x+22

P = 2x+44

The perimeter is at max 57 units because it is the length of wire used. Think of it like fencing around a piece of land. Be sure not to mix up the length of the wire with the rectangle length; those are two different things.

Anyways, because the perimeter maxes out at 57, this means either P = 57 or P < 57.

This leads to:

[tex]P \le 57\\\\2x+44 \le 57\\\\[/tex]

Mei needs to cut a 12-inch loaf of bread into slices that are inch thick.
a. How many 2-inch thick slices can Mei cut from the 12-inch loaf of bread?
b. How many inches of bread would be left over?

Answers

a. The number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is 6.

b. The inches of bread that would be left over is zero.

How to illustrate the expression?

The information given an be solved by Illustratingnut with an expression. This is simply used to show the relationship between the variables that are provided or the data given regarding an information.

Since Mei needs to cut a 12-inch loaf of bread into slices that are inch thick, the number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is:

= 12 / 2

= 6

There'll be no left over

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Equilateral triangle T is inscribed in circle A , which has radius 10 . Circle B with radius 3 is internally tangent to circle A at one vertex of T . Circles C and D , both with radius 2, are internally tangent to circle A at the other two vertices of T. Circles B, C , and D are all externally tangent to circle E, which has radius m/n , where m and nare relatively prime positive integers. Find m+n

Answers

For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.

Explain Law of Cosines.

The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.

Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.

Since the radius of B is 3, AX = 4.

Assume AE = p.

Then EX and EY are radii of circle E and have length 4 + p.

AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.

Using the Law of Cosines on Δ CAE, we obtain

(6+p)² =p² + 64 - 2(8)(p) cos 60

The 2 and the cos 60 terms cancel out:

p² + 12p + 36 = p² + 64 - 8p

12p+ 36 = 64 - 8p

p = 28/20

= 7/5

The radius of circle E is 4 + (7/5)

= 27/5,

So, the answer is 27 + 5 = 32

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How do you calculate quantity of seed?

Answers

The following is how you can calculate quantity of seed:

Sowing rate (kg/ha) = target plant population (p/m2) x TGW (g) x 100. % germination x % emergence.

What is Sowing rate?

The quantity of seed necessary for a unit area of land to successfully grow any crop is known as Sowing rate. In other words, the Sowing rate for that crop of the land refers to the quantity of seed needed to successfully raise a crop on a given piece of land. The Sowing rate, on the other hand, refers to the quantity of seed needed to cover a given area of land.

Goals in calculating the Sowing rate:

to make sure there are enough plants in the field.in order to decrease seed waste.to be aware of how much seed will be needed in advance for a specific piece of land.to improve a crop's quality and yield.to lower the expense of growing crops.

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Finn leaned a 100-foot ladder against the side of a building. The base
of the ladder is 14 feet from the base of the building. The top of the
ladder is 11 feet from the top of the building. How tall is the building?
Provide an answer accurate to the nearest tenth of a foot.

Answers

The height of the Building is 110.01 feet.

What is the Pythagorean theorem?

The square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides, according to Pythagoras' Theorem.

Given, Finn leaned a 100-foot ladder against the side of a building. The base of the ladder is 14 feet from the base of the building. The top of the ladder is 11 feet from the top of the building.

For the triangle made by ladder

hypotenuse = 100

base = 14

thus, from the Pythagorean theorem

hypotenuse² = base² + height²

100² = 14² + height²

height² = 10000 - 196

height = √9804

height = 99.01

total height of the wall = height of triangle + remaining height of the wall

Thus the total height of the wall  = 99.01 + 11

the total height of the wall  = 110.01

therefore, the building is 110.01 feet tall.

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Simplify:- 3/11of(1/3+5/9)÷9/15

Answers

Answer:

=3/11 of (1×3+5/9)÷9/15

=3/11 of (8/9)÷9/15

=3/11 of 8/9÷9/15

=8/33÷9/15

=8/33×15/9

=40/99

*mark me brainliest

lines a and b are parallel. which angles is congruent to angle? 4

Answers

Answer:

ANGLE 5 IS CONGURENT TO ANGLE 4

PLEASE MARK BRAINLIEST

Please Simplify the phrase the first two and find the last one

Answers

Answer:

1)  23x + 6y

2) 8x  - 4y

3)  4x - x² + 7

Step-by-step explanation:

Simplify:

 

Multiply each term of (3x + 6y) by 5 and multiply each term of (2x - 6y) by 4.

5(3x + 6y) + 4 (2x - 6y)  = 5*3x + 5*6y + 4*2x - 4*6y

                                       = 15x + 30y + 8x - 24y

Now, combine like terms. Like terms have same variable with same power.

                                         = 15x + 8x + 30y - 24y

                                           = 23x + 6y

2) 3(4x - 2y) - 2*(2x -y) = 3*4x + 3*(-2y) + (-2)* 2x + (-2)*(-y)

                                     = 12x - 6y - 4x + 2y

                                     = 12x - 4x - 6y + 2y

                                    =  8x - 4y

3) f(x) = 3x + 2

To find f(x +1),  replace x with (x +1)

f(x +1) = 3*(x + 1) + 2

          = 3*x + 3*1 + 2

          = 3x + 3 + 2

          =3x + 5

f(2x) = 3*(2x) + 2

        = 6x + 2

f(2x) + h(x) = 6x + 2 - x² - 2x + 5

                 = 6x - 2x - x² +2 + 5

                 = 4x - x² + 7

1.12 less the product of m and n.
2.the product of two numbers decreased by their sum.
3.two thirds of a number subtracted from the square of the same number.
4.the sum of the product and quotient of two numbers decreased by 10.
5.the cube of the sum of a number and 2.
6.twice the difference between four times b and twice x.
7.the sum of 5 times y and 6 divided by twice a.
8.three-fourths of x added to thrice of x is equal to twelve.
Pa Help

Answers

Answer:

1.12 < mn

xy - x + y

2/3x - x²

xy + x/y - 10

(x + 2)³

2(4b - 2x)

Find a value that
makes this inequality
true: 50 - 3x ≤ 20

Answers

50-3x=20
-50 -50
-3x=-30
/-3 /-3
x=10

50-3x<20

the answer is C. 11

please help with this shapes question

Answers

Given the surface area of the sphere, and the formula for the surface area, the value of the radius is 11 cm

How to find the radius ?

The radius of the sphere allows for the surface area of the sphere to be calculated, with the formula 4 πr².

Given that the surface area of the sphere is 484 π cm then the radius can be found to be :

484 π = 4 πr²

r ² = 484 π / 4 π

r ² = 121

The value of the radius would then be:

r ² = 121

r = √ 121

r = 11 cm

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Complete the inequality below to describe the
domain of the graph shown.
Domain:
DONE
completo the inequality holow to dogorike the

Answers

On solving the provided inequality equation we cans ay that therefore, 60x + 45 <250 is the necessary inequality for the given situation.

Describe inequality.

An inequality in mathematics shows how two values are related in an imbalanced algebraic expression. According to inequality signals, one of the two variables on either side of the inequality may be larger than, greater than or equal to, less than, or less than or equal to another value.

If the daily cost for each crew member is $60, the daily wage for crew members is $60, and the daily cost of operations is $45; the amount paid equals the total of the wages for each crew member plus the cost of operations. In this case, let x indicate the size of the crew.

= 60x + 45

Since the maximum daily payment is $250,

In other words, the total payment cannot be more than $250.

60x + 45 ≤ 250

Therefore , the required inequality for given problem is 60x + 45 ≤ 250.

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this is my quation kfwn vehfwqkn uewfhkjn uewfhskj uefwshjl efwuhskcj fwqeukjscngefww

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 letters and the spinner lands on one at a time

Use the distributive property to simplify each expression.

-2(x - 2) + 5x

please help

Answers

Answer:

3x + 4

Step-by-step explanation:

Using the distributive property simply means that when there is a number in front of a pair of parentheses, every value inside the parentheses is multiplied by the co-efficient to expand the parentheses.

Here, the coefficient is -2, therefore we multiply both terms inside the parentheses (x and -2) by -2 to expand them:

-2(x - 2) + 5x

= (-2)(x) + (-2)(-2) + 5x

Now we simply evaluate and combine like terms to simplify:

= -2x +4 +5x

= 3x + 4

during a lunch seminar chocolate caramel and strawberry toppings were available how many two-topping

Answers

There are 3 two topping sundaes possible.

How many two toppings are possible?

It is not crucial to choose the toppings in any particular sequence. For instance, a caramel and strawberry topping is the same as a chocolate and  caramel topping. To answer this question, we thus apply the combinations formula.

Mixtures Formula:

C,n,x  is the amount of various ways there are to combine x items from a set of n components, as determined by the formula below.

Cn,x = n! / x!(n-x)!

sundaes with two toppings are possible

2 of a set of 3 toppings (chocolate, caramel and strawberry). So

C3,2 = 3! / 2! (3 - 2)! = 3.

Three two-topping sundae combinations are conceivable.

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[tex]343^{-4/3}[/tex]simplify

Answers

The value of the expression [tex]343^{-4/3}[/tex] is 1/2401.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]343^{-4/3}[/tex]

This can be written as,

1/[tex]343^{4/3}[/tex]

343 = 7³

= 1/[tex]7^{3\times4/3}[/tex]

= 1/[tex]7^4[/tex]

[tex]7^4[/tex] = 7 x 7 x 7 x 7 = 49 x 49 = 2401

= 1/2401

Thus,

The value of the expression is 1/2401.

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What is ordinate of a 3 4?

Answers

The coordinate of 3 4 indicates a point on a cartesian plane.

What is coordinates system?

In mathematics, the coordinate system refers to the method in which a location of a point is identified in the plane or space.

There are two coordinate system, one is cartesian coordinate system and the other is polar coordinate system.

Each coordinate system has some reference lines called reference axis or reference direction or point called reference direction and point.

What do we mean by coordinate of 3 4?

As per the definition of a cartesian coordinate system, a location of a point is identified by a pair of numerical terms. The first one indicates the X coordinate and the second one indicates the Y coordinate.

So, the above coordinate 3 4 refers to a point on the XY coordinate system where 3 is the X coordinate and the distance from Y axis and 4 is the Y coordinate and distance from the X axis.

ordinate refers to y point in (x, y)

in (3,4)

ordinate = 4

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What is the solution of 2x^2 5x 3 0?

Answers

The Given quadratic equation has two solutions: 1 and 3/2. A quadratic problem was solved by utilizing the factoring method.

A quadratic equation is defined.

At least one squared term must be present because a quadratic is a second-degree polynomial equation. It is also known as quadratic equations. ax^2 + b*x + c = 0 is the quadratic equation's general form.

where x is the unknown variable and a, b, and c are constant terms.

In this case, I'm solving a quadratic problem by factoring.

The following quadratic equation is

2x^2 - 5x + 3 = 0.

2x^2 - (3+2)x + 3 = 0

2x^2 -3x -2x + 3 = 0.

x(2x-3) -1(2x -3) = 0.

(2x-3)(x-1) = 0.

2x - 3 =0 or x -1 =0

x = 3/2 or x =1

So the solutions of a quadratic equation are 3/2 and 1.

Given Question is incomplete complete question here:

What are the solutions of the quadratic equation 2x^2-5x+3 =  0?

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Ron killed 8 times as many spiders as Harry,H (Write an expression to represent the following situations)

Answers

Answer:

Ron killed 8 times as many spiders as Harry: R = 8 * H

Step-by-step explanation:

This expression represents the situation in which Ron killed 8 times as many spiders as Harry.

10. Jim estimates the width of his wall to be 7.5 feet. The actual wall measures 8.25 feet wide. What is
Jim's percent error?

Answers

Answer:

Below

Step-by-step explanation:

Error :    (8.25 - 7.5)

% error :    ( 8.25-7.5) / 8.25    * 100%  = 9.1 %

Jim's percent error is 9.09%.

What is the percentage error?

The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.

The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.

Estimated width of wall = 7.5 feet

The actual width of the wall = 8.25 feet

The difference in estimate = (8.25 - 7.5) = 0.75 feet

Percentage Error = (0.75/8.25 x 100) = 9.09%

Thus, we can conclude that Jim made a percentage error of 9.09%  in his estimate of the width of the wall.

Boxplots are NOT recommended for use with which of the following types of? distributions?
Choose the correct answer below.
a. Symmetric
b. Unimodal
c. Skewed
d. Bimodal or any multimodal distribution

Answers

Due to the fact that they obscure bimodality or any multimodality, boxplots are best reserved for distributions with a single mode.

Which distributions are unimodal?

The distribution is said to be symmetrical when the box's whiskers are roughly the same on both sides and the median is in the centre of the box. The distribution is positively skewed if the whisker is shorter on the lower end of the box and the median is closer to the bottom of the box (skewed right).

Due to the fact that they obscure bimodality or any multimodality, boxplots are best reserved for distributions with a single mode.

There is just one peak in a unimodal distribution, two peaks in a bimodal distribution, and three or more peaks in a multimodal distribution. If the data is skewed or symmetric, such information can also be used to characterise the histogram's structure.

Therefore, the correct answer is option b) Unimodal.

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The required correct option for the given question is uni-modal.

Which distributions are uni-modal?

The distribution is said to be symmetrical when the box's whiskers are roughly the same on both sides and the median is in the center of the box. The distribution is positively skewed if the whisker is shorter on the lower end of the box and the median is closer to the bottom of the box (skewed right).

Due to the fact that they obscure bi-modality or any multi-modality, box-plots are best reserved for distributions with a single mode.

There is just one peak in a uni-modal distribution, two peaks in a bimodal distribution, and three or more peaks in a multi-modal distribution. If the data is skewed or symmetric, such information can also be used to characterize the histogram's structure.

Therefore, the correct answer is option b) Uni-modal.

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For what value of k the equation 4x2 2 K 1 )= 0 has real and equal roots?

Answers

The values of k are 3 and −1.

Note: The equation taken here is 4x^2 −2(k+1)x+(k+1)=0

Given: Equation 4X^2−2(k+1)x+(k+1)=0 has real and equal roots i.e., its discriminant is zero.

b2−4ac=0

[An expression that can be produced from the square of a binomial equation is a perfect square trinomial. A perfect square trinomial is a formula that has the elements ax^2 + bx + c and satisfies the condition b^2 = 4ac. The roots of the quadratic equation ax2 + bx + c = 0 are real and equivalent if the discriminant is equal to zero (b2 - 4ac = 0), a, b, and c are real values, and a0.]

For given equation, a=4,  b=2(k+1),c=(k+1)

(2(k+1))^2 −4.4(k+1)=0

⇒(2k+2)^2−16(k+1)=0

⇒4k2+8k+4−16k−16=0

⇒4k2−8k−12=0

⇒4(k2−2k−3)=0

⇒k2−2k−3=0

⇒k2−3k+k−3=0

⇒k(k−3)+1(k−3)=0

⇒(k−3)(k+1)=0

⇒k−3=0   and   k+1=0

⇒k=3   and  k=−1

So, the values of k are 3 and −1.

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x +96 > 12 solving inequalities

Answers

The solution to the inequality expression is x > -84

How to determine the solution to the inequality

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

x +96 > 12

Subtract 96 from both sides of the inequality expression

So, we have the following representation

- 96 + x +96 > 12 - 96

Evaluate the like terms

x > -84

Hence, the solution is x > -84

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makayla runs 3/5 of a mile in 1/6 of an hour. How fast, in miles per hour, does she run

Answers

Answer:

3.6 miles

Step-by-step explanation:

Solution

Given information from the question,

[tex]\frac{1}{6} \ hour = \frac{3}{5} \ miles\\ 1 \ hour = \frac{3}{5} / \frac{1}{6} \ miles\\1 \ hour = \frac{18}{5} \ or\ 3\frac{3}{5} \ or \ 3.6 miles[/tex]

Answer:

Velocity is the term to illustrate speed

Step-by-step explanation:

velocity = distance ÷ time

velocity = 3/5 ÷ 1/6

= 18/5 m/h

Bookwork code: E13 Work out the equation of the straight line shown below. Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. 7 4- 3. 2- 1- -6 -5 -4 -3 -2 -1.0 -1- --2- --3- -4- -5- Calculator not allowed T 2 3 4 5 6 X​

Answers

Answer:

  y = -5x +4

Step-by-step explanation:

You want the point-slope equation of the line with y-intercept +4 and through the point (1, -1).

Solution

The graph shows you the line decreases 5 units from +4 to -1 as x increases 1 unit from 0 to 1. This tells you the slope is ...

  m = rise/run = -5/1 = -5

The y-intercept is the value of y where the line crosses the y-axis:

  b = 4

These values go into the point-slope equation:

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = -5x +4 . . . . . . line with slope -5 and y-intercept 4

What percent of left-handed people surveyed have artistic ability?

Answers

Answer:

65.6488549618 %

Step-by-step explanation:

total left = 131

left who have artistic ability = 86

proportion of left who have artistic ability = number of favorable outcomes/total outcomes = 86/131 = 0.65648854961

mutliply by 100 to convert to a percent

65.6488549618 %

I AM GIVING 30 POINTS!!!!!!!! TO WHOEVER ANSWERS THIS!!!! PLEASEPedro loves to try new adventures. His most recent was jumping out of an airplane. His special watch tells him his altitude. He set a timer at the moment he opened his parachute. His altitude relative to sea level, A, in feet, which is a function of time, in minutes, is shown in the table below. A t 11,100 4 7200 8 3300 12 A function could be written to describe the decent: Blank 1 = (Blank 2 )t + Blank 3

Answers

Answer:Sorry cant find

Step-by-step explanation:

A function that could describe Pedro's descent is:

A(t) = -1100t + 11100

Where:

Blank 1 represents the altitude, A, in feet.
Blank 2 represents the rate of descent, which is 1100 feet per minute.
Blank 3 represents the initial altitude, which is 11100 feet.

The table provides information on road accidents reported to the police for the days in December.


Accidents reported l Frequency

3 - 7 l 17

8 - 12 l 1

13 - 18 l 1

19 - 25 l 12


Estimate the range.

Answers

The range of the accidents reported from the grouped frequency table is 22.

What is a range in a set of data?

The range is the difference between the highest value and the lowest value of a given set of data.

We have,

The number of accidents reported from the grouped frequency table.

The largest number of accidents = (19 - 25)

The smallest number of accident = (3 - 7)

Now,

Range.

= 25 - 3

= 22

Thus,

The range of the reported accidents is 22.

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A space ship travels at 57 miles per hour and traveled for 521 hours.Select the answer that represents how many miles the space ship traveled. What is the sound intensity level of a sound with an intensity of 4.0106 W/m2 ?Express your answer in decibels. how many times does 6 go into 137 What type of OS in firmware is designed to manage a specific device like a video game console?a. network OSb. client OSc. workstation OSd. appliance OS" A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see? tysm ;-; Middle-aged couples often find themselves raising their children and caring for their elderly parents. This group is called the __________ . At rest, a person inhales 2.31 x 1023 nitrogen molecules in an average breath of air. How many moles of nitrogen atoms are inhaled What are 5 features of a blog? How do you discuss issues? can someone help with this please ill give brainliest Which tool would be the best choice to remove and replace the motherboard BIOS chip?A. IC extractorB. ScrewdriverC. Needle-nose plierD. Combination ratchet Assume Jims behavior toward Glenn resembles his behavior toward Gloria. Does Glenn potentially have a sexual harassment claim against PaperKlip Office Supplies? What is the surface areaof the square pyramid?9 in6 in You and your friend go to a taco truck for lunch. You order 3 soft tacos and 3 burritos and spend $11. 25. Your friend orders 4 soft tacos and 2 burritos and spends $10. 0 Consider you are X units in distance from a light source. You receive Y unit of light per unit time. You have to be _____ X units in distance from the light source in order to receive 4Y unit of light per unit time. Of Akan is such a widely spoken language, why does it have no official status in any country and why is it only spoken in Ivory Coast? (Someone please give me the brainliest answer) How did the Enlightenment impacted on modern society in terms of culture politics and government? how can you get back to your track/shedule once you break your consistently? Which of the following statements must be true based on the diagram below?Select all that apply. (Diagram is not to scale.) x:(x+3) = 2:3work out the value of x