i need this fast help!!!
On Saturday morning, calls arrive at TicketMaster at the rate of 108 calls per hour. What is the probability of receiving fewer than three calls in a randomly chosen minute?

Answer:

This triangle is obtuse and isosceles

Step-by-step explanation:

An obtuse triangle is a triangle in which one of the angles is greater than 90°. You can clearly see that angle NPO is greater than a right angle.

An isosceles triangle is a triangle in which two sides are equal and two angles are equal. Sides NP and PO are equal because they both measure 4m, which necessarily means that the angles opposite them are congruent (angles PNO and NOP).

Answer:

ΔNOP is obtuse triangle and isosceles triangle.

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90°.

An obtuse triangle is a triangle with one angle greater than 90°.

A right triangle is a triangle with one 90° angle represented by the symbol ∟.

From inspection of the triangle, it appears that angle P is greater than 90°, which means it is an obtuse triangle.

This can be confirmed by using the cosine rule to calculate angle P.

[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Cosine Rule (for finding angles)} \\\\$\cos(C)=\dfrac{a^2+b^2-c^2}{2ab}$\\\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides adjacent the angle. \\ \phantom{ww}$\bullet$ $c$ is the side opposite the angle.\\\end{minipage}}[/tex]

Therefore:

[tex]\implies \cos(P)=\dfrac{4^2+4^2-7^2}{2(4)(4)}[/tex]

[tex]\implies \cos(P)=-\dfrac{17}{32}[/tex]

[tex]\implies P=\cos^{-1}\left(-\dfrac{17}{32}\right)[/tex]

[tex]\implies P=122.08995...^{\circ}[/tex]

As 122.1° > 90°, this proves that triangle NOP is obtuse.

An equilateral triangle has three sides of equal length.

A scalene triangle has three sides of differing lengths.

An isosceles triangle has two sides of equal length.

Therefore, as NP = OP ≠ ON, the triangle has two sides of equal length and so it an isosceles triangle.

The value of Tan Y is 0. 8660

From the information given, we have that;

Now, let's determine the value of the adjacent side

cos θ = adjacent/ hypotenuse

cos 60 = adjacent/ 4

Adjacent = 2

Using Pythagorean theorem

4² = 2² + c²

16 - 4 = c²

c = √12

c = 3. 5

Tan Y = 3. 5/ 4

Tan  Y = 0. 8660

Hence, the value is 0. 8660

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Answer:b

Step-by-step explanation:

Answer:

29+8x

Step-by-step explanation:

5+8(3+x)

5+24+8x - Open parentheses

29+8x - Add like terms

The value of f(12) in the arithmetic sequence is 30.

Arithmetic sequence formula can be represented as follows;

aₙ = a + (n - 1)d

where

Therefore,

f(3) = - 3

f(6) = 8

Hence, let's find f(12).

-3 = a + 2d

8 = a + 5d

3d = 11

d = 11 / 3

a = -3 - 2(11 / 3)

a = - 3 - 22 / 3

a = - 31 / 3

Hence,

a₁₂ = a + 11d

a₁₂ = - 31 / 3 + 11(11 / 3)

a₁₂ = - 31 / 3 + 121 / 3

a₁₂ = 90 / 3

a₁₂ = 30

Therefore,

f(12) = 30

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The time taken for the rocket to reach its maximum height is; 2.25 seconds.

The maximum height reached by the toy rocket whose initial velocity is; 72 feet per second is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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20 ounces of chocolate chips would be required to make 5 dozen cookies.

According to the question,

We have the following information:

Shondra used four ounces of chocolate chips to make 1 dozen cookies.

We know that when we find the cost or required amount of any product which is more than 1 then we use multiplication to find the result.

So, we will multiply 5 dozen of cookies by the number of ounces of chocolate chips required for 1 dozen cookies.

Chocolate chips for 5 dozen cookies = 5*4

Chocolate chips for 5 dozen cookies = 20 ounces

Hence, 20 ounces of chocolate chips would be required to make 5 dozen cookies.

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The values of x or y are as follows:

(a) y = 4

(b) x = -2

(c) y = 6

(d) x = 3

(a) Given, that a line passes through (-3 , y) and (-9 , -2) having slope m = 1

as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m

So, (y + 2)/(-3 + 9) = 1

= (y + 2)/6 = 1

= y + 2 = 6

So, y = 4

(b) Given, that a line passes through (x , -7) and (1 , 2) having slope m = 3

as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m

So, (-7 - 2)/(x - 1) = 3

= -9/(x - 1) = 3

= x - 1 = -3

So, x = -2

(c) Given, that a line passes through (9 , y) and (3 , 2) having slope m = 2/3

as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m

So, (y - 2)/(9 - 3) = 2/3

= (y - 2)/6 = 2/3

= y - 2 = 4

So, y = 6

(d) Given, that a line passes through (7 , 5) and (x , 2) having slope m = 3/4

as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m

So, (5 - 2)/(7 - x) = 3/4

= 3/(7 - x) = 3/4

=7 - x = 4

So, x = 3

Hence, the values of x or y are as follows:

y = 4 , x = -2 , y = 6 and x = 3.

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The time taken for the car and truck to meet is 36 minutes.

The time for the car and the truck must be the same.

distance:

Now,

Then trucks distance:

Time is:

Hence, the time taken for the car and truck to meet is 36 minutes.

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Identify your Financial Situation,  

Determine Financial Goals,

Identify Alternatives for Investment,  

Evaluate Alternatives,

Put Together a Financial Plan and Implement,

Review, Re-evaluate and Monitor The Plan

The following tasks are part of the financial planning activity:

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a) The points are given as follows: (3, 1028) and (8, 1488).

b) The rate of change is:

c) The interpretation of the rate of change is that it gives the yearly increase in the number of deers.

d) The equation is: y = 92x + 752.

e) The prediction for the year of 2000 is the intercept of the function, which is of 752 deer.

f) The prediction for the current year of 2022 is of 2776 deer.

The slope-intercept representation of a linear function is:

y = mx + b

The coefficients of the function and their meaning in the context of this problem are listed as follows:

Considering the reference year 2000 as year 0, the coordinate points of the function are given as follows:

(3, 1028), (8, 1488).

Given two points, the slope of the function is given by the change in the output divided by the change in the input, hence:

m = (1488 - 1028)/(8 - 3) = 92.

Hence the function is:

y = 92x + b.

When x = 3, y = 1028, hence the intercept b is obtained as follows:

1028 = 92(3) + b

b = 1028 - 92(3)

b = 752.

Then:

y = 92x + 752.

2022 is 22 years after 2000, hence the estimate for the number of deer is given as follows:

y = 92(22) + 752 = 2776.

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The linear regression equation that represents this set of data is given by:

y = 30x + 854.6.

The predicted calendar year in which the number of new cases would reach 1141 is:

2020.

The format of the linear regression equation is given as follows:

y = mx + b.

In which the coefficients are listed as follows:

The equation is built inserting the points given on the table into a linear regression calculator.

The points from the table given by the image at the end of the answer are given as follows:

(0, 856), (1, 871), (2, 924), (3, 961), (4,961).

Inserting these points into a calculator, the equation is given as follows:

y = 30x + 854.6.

The predicted calendar year in which the number of new cases would reach 1141 is 2011 + integer part of x, when y = 1141, hence:

1141 = 30x + 854.6

x = (1141 - 854.6)/30

x = 9.54.

Hence during the year of 2020.

The table is given by the image shown at the end of the answer.

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In a polygon, the size of the exterior angle next to the adjacent is 155°

Exterior angle:

Exterior angle means the angle between any side of a shape, and a line extended from the next side

Given,

In a polygon one interior angle is 25 degrees.

Here we need to find the exterior angle next to the adjacent.

In order to find the exterior angle, we have to do the following,

We know that each interior angle of the polygon is 25 degrees, so each exterior angle of the polygon is

=> 180 - 25

=> 155°

Therefore, the measure of the exterior angle is 155°.

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The comparison of the equations are

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

-x + 4y = 32

Add x to both sides of the equation

So, we have the following representation

4y = x + 32

Divide through by 4

So, we have

y = 1/4x + 32/4

Evaluate

y = 1/4x + 8

A linear equation is represented as

y = mx + c

Where

Slope = m

As a general rule, linear equations that have the same slope are parallel

This means that the equation y = 1/4x + 1 is parallel to y = 1/4x + 8

Also;

The slopes of perpendicular lines are opposite reciprocals

This means that the equation 4x + y = -3 is perpendicular to y = 1/4x + 8

Lastly, the third equation would neither parallel not perpendicular to the line.

This is because the first equation is parallel and the second equation is perpendicular

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The equation of the line passing through (-6,0) and (0,-8) will be y = -4x/3-8.

According to the question,

We have the following information:

We have two points: (-6,0) and (0,-8) and we have to find the equation.

We know that following formula is used to find the slope of the line:

m = (y2-y1)/(x2-x1)

In this case, we have x1 = -6, y1 = 0, x2 = 0 and y2 = -8.

m = (-8-0)/{0-(-6)}

m = -8/(0+6)

m = -8/6

Dividing this fraction by 2:

m = -4/3

Now, the following formula is used to find the equation of the line:

(y-y1) = m(x-x1)

y-0 = -4/3{x-(-6)}

y = -4/3(x+6)

y = -4x/3-8

Hence, the equation of the line passing through (-6,0) and (0,-8) will be y = -4x/3-8.

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Answer:

[tex]\huge\boxed{\sf b = 28}[/tex]

Step-by-step explanation:

Point (x,y) = (2,20)

So, x = 2 and y = 20

Also,

Slope = m = -4

Where b is y-intercept.

Put the above given data in this equation.

20 = (-4)(2) + b

20 = -8 + b

Add 8 to both sides

20 + 8 = b

28 = b

[tex]\rule[225]{225}{2}[/tex]

y=mx+c. y=20

x=2

m=-4

20= -4(2)+c

20= -8+c

20+8=c

28=c

Equation of the line which is passing through the point (-2, -6) and has the gradient of -3 is equal to y = -3x -12.

As given in the question,

Gradient of the required equation of the line is given by :

Gradient is slope.

Let slope is represented by m = -3

Line passing through the point (-2, -6) is given by :

( x₁ , y₁) = ( -2 , -6)

Equation of the line which is passing through the point (-2, -6) and has the gradient of -3 is given by :

y - y₁ = m ( x - x₁)

⇒ y - (-6) = (-3)(x - (-2))

⇒ y + 6 = -3( x + 2)

⇒ y + 6 = -3x - 6

⇒ y = -3x -12

Therefore, equation of the line which is passing through the point (-2, -6) and has the gradient of -3 is equal to y = -3x -12.

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The equation of the line as represented in the task content in fully simplified slope-intercept form is; y = -( 1/2 )x - 2.

It follows from the task content that the equation of the given line in slope-intercept form is to be determined.

As evident on the graph, the y-intercept and x-intercept of the line are; (0, -1) and (-2, 0).

Therefore, the slope can be determined from the slope formula as;

m = ( 0 - (-1) ) / (-2 - 0)

m = 1 / -2 = -1 / 2.

Therefore, by simulation of the slope-intercept model of the equation of a straight line; y = mx + c where, m = slope and c = y-coordinate of the y-intercept;

The equation of the given line is;

y = -(1/2)x - 2.

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The set of side measurements could be used to form a triangle is 7, 13 and 16.

If a, b and c are the sides of the triangle

Then

a+b > c

b+c > a

c+a > b

The first set of side measurements = 2, 6 and 10

2+6 > 10

8 < 10

This is not the side measurements of a triangle

The second set of side measurements = 3, 18 and 22

3+18 > 22

21 < 22

The is not the side measurements of a triangle

The third set of side measurements = 7, 13, 16

7+13 > 16

20 > 16

13+16 > 7

29 > 7

7+16 > 12

23 >12

This is the side measurements of a triangle

The fourth set of side measurements = 8, 7  and 19

8+7 > 19

15 < 19

This is not the side measurements of a triangle

Hence, the set of side measurements could be used to form a triangle is 7, 13 and 16

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Answer:

C. 7, 13, 16

Step-by-step explanation:

In order to be a triangle, the two smaller sides need to add up and be greater than the 3rd side.

In all the other sides they end up shorter:

2 + 6 = 8

8 < 10

3 + 18 = 21

21 < 22

8 + 7 = 15

15 < 19

BUT

7 + 13 = 20

20 > 16

Answer:

e is 63 degrees

d is 31 degrees

Answer:

34

Step-by-step explanation:

I will need a lot more info then that but i think it'll be 34

Answer:

y = 5/2x - 8

Step-by-step explanation:

If we use both belts, it takes 4.5 minutes to carry the can to the storage area.

Let's assume, t = time required to move 300 pounds using both belts.

For this first calculate the speed or mass flow rate of each conveyor belt.

The big one can do 300 pounds in 6 minutes, so its speed is 300 pounds/6 minutes = 50 pounds/minute.

The smaller one takes 18 minutes, so the speed is 300 pounds/18 min = 50/3 pounds/minute.

We can see that the combined speed of both machines when working together is 50 + 50/3 = 50 (1 + 1/3) = 50 x 4/3 = 200/3 pounds/minute.

Then we find that the two machines together can transfer 300 pounds in t = 300/200/3 = 300/200 x 3 =  4.5 minutes.

Alternate Method:

We can do that too

Let t = the time required to move 300 pounds on both belts.

Job completed = 1 (300 pounds moved)

t/6 + t/18 = 1

Taking L.C.M

=> (3t + t)/18 = 1

=> 4t/18 = 1

=> t = 4.5 minutes

Hence, it takes 4.5 minutes to carry the can to the storage area.

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Answer:

Step-by-step explanation:

[tex]\frac{6 - \sqrt{25} }{4}[/tex] =

[tex]\frac{6-5}{4}[/tex] =

[tex]\frac{1}{4}[/tex]

It  will be written as inequality

3 - (x / 2) ≤ 5

Inequality is a mathematical relation which is use to make non-equal comparisons between equations or numbers.

Now let us look at the question.

Half a number less than 3. Let us suppose the number to be 'x' so

3 minus half of x which can be written as 3 - (x / 2)

Next it says that it is at most 5 which means it will be 5 or less than that.

Therefore we can easily write it as inequality 3 - (x / 2) ≤ 5

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An equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

In this question, there was a depth of 10 inches of snow on the lawn when the storm ended and then it started a melting at a rate of 2 inches per hour.

We need to write an equation for S in terms of t, snow representing the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling.

So, the equation would be,

S = 10 - 2t

Therefore,  an equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

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Answer:

x=9

Step-by-step explanation:

these 2 angles are equivalent so we set them equal to each other

124-x=8x+43

81-x=8x

81=9x

9=x

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y do i have to write so much for a small answer the answer is 12.5

Answer: One ticket would cost $12.50

Step-by-step explanation:

If 6 tickets cost $75, to find the cost of one ticket, we need to divide.

$75 divided by 6 is $12.5.

$12.5 is not a valid answer, so we need to show the hundredths place, which is 0. This means the answer is $12.50.

Answer:

below

Step-by-step explanation:

$ 5.25 /hr * 32.5 hr   *  .77 =  131.38 dollars

The Least percentage point = 41

The Greatest percentage point = 47

What is percent?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

Given:

Percentage of voters who plan to re-elect mayor = 44%

Margin of Error in measurement = ±3 % points

The absolute value inequality to find the lowest and greatest percent of points :

X = mid value

44% = estimated percentage

≤3 = error margin

Therefore,

|mid value - estimate| ≤ error margin

|x − 44| ≤ 3

⇒  -3 ≤ x - 44 ≤ +3

Add 44 on both sides,

   -3 + 44 ≤ x ≤ 3 + 44

Simplifying,

       41 ≤ x ≤ 47

Hence,

The Least percentage point = 41

The Greatest percentage point = 47

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