What is the square root of PEMDAS?

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

B. Impossible to determine

Step-by-step explanation:

Answer:

$ 15

Step-by-step explanation:

Total cost =$101

Total cost for poster paper=$11

Total cost for marker =?

Total cost of marker $101-$11=$90

Each pack of permanent marker =?

There are 6 markers

so

$90÷ 6=$15

each pack of permanent marker=$15

Answer:

4a²

Step-by-step explanation:

(2a)²

Distribute the square to all the terms in the bracket.

2²a²

Solve the powers if possible.

4a²

Answer:

4a²

Step-by-step explanation:

=> \((2a)^2\)

=> \((2^2*a^2)\)

=> 4 * a²

=> 4a²

The statement that is false is:

The point B (0, 101.5) is not on the graph of the function. (This statement is false, as point B is on the graph).

A graph's function representation can be determined using the vertical line test. All points with a certain x value are included in a vertical line. An output for a given input x value is represented by the y value of the point on a graph where a vertical line meets it.

The following questions can be answered using the data in the question and the associated graph:

The function's vertex is (101.5, 0). This is evident from the graph, which shows that the vertex of the absolute value function is located at the position (101.5, 0), which is also the lowest point on the graph.

The function's x-intercept is (101.5, 0). This is also accurate since in an absolute value function, the x-intercepts are located at the vertex, in this case (101.5, 0).

The graph's minimum point is point A (101.5, 0). This is evident from the graph, which shows that the vertex of the absolute value function is located at the position (101.5, 0), which is also the lowest point on the graph.

The function's graph does not include the point B (0, 101.5). This is untrue because the point (0, 101.5) is located on the graph of the absolute value function, as can be seen from the graph.

Thus, the following claims are true:

The function's vertex is (101.5, 0).

The function's x-intercept is (101.5, 0).

The graph's minimum point is point A (101.5, 0).

And here is the untrue statement:

The function's graph does not include the point B (0, 101.5). (This claim is untrue because point B is present on the graph).

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None of the options are completely correct.

In mathematics, a function is a relationship between two sets of objects, where each input value from the first set corresponds to a unique output value in the second set. A function can be thought of as a machine that takes in an input and produces an output based on a set of rules or instructions.

Formally, a function f from a set A to a set B is a rule or mapping that assigns each element a in A to a unique element b in B. The notation f(a) represents the output or value of the function f when the input is a.

For example, consider the function f(x) = 2x + 1. This function takes an input value x and produces an output value 2x + 1. If we input the value 3 into the function, we get f(3) = 2(3) + 1 = 7.

Functions can be represented graphically as well, with the input values on the x-axis and the output values on the y-axis. A function is said to be continuous if its graph is a continuous curve, meaning that there are no breaks or gaps in the graph.

None of the options are completely correct. Here's why:

A. The given information does not provide any insight into the sign of the function for x>101.5 or x<101.5. Therefore, this option cannot be chosen.

B. The given information does not provide any insight into the sign of the function for x>0. Therefore, this option cannot be chosen.

C. Since the y-intercept is (101.5,0) and the function is not negative on any interval, it means that the function is non-positive (i.e., zero or negative) for x values less than or equal to 101.5. However, we cannot conclude that the function is non-negative for all x values because the given information does not provide any insight into the behavior of the function for x values greater than 101.5. Therefore, this option is only partially correct.

In conclusion, we can say that the given information is insufficient to determine the sign of the function for all x values.

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Answer:

12

Step-by-step explanation:

30.2% is the necessary probability that it is a horror or comedy movie title.

Given:

There are 168 films in the horror category.

There are 118 films in the mystery category.

The following formula can be used to get the total number of movies in the video rental store:

Total number of outcomes is =  (168 + 220 + 118 + 308 + 134) =948

Let P (H) represent the likelihood that it will be a horror film, and P (M) represent the likelihood that it will be a mystery. In addition, we presumptively believe that a film can only fall into one of two categories: mystery or horror. The likelihood that a horror or mystery film will be chosen as a rental can be calculated as follows:

\(P(M or H) = P(H) + P(M)\)

                \(=\frac{168}{948} +\frac{118}{948}\)

                \(=\frac{168+118}{948}\)

                \(=\frac{286}{948}\)

                ≈\(0.302\)

Therefore, 30.2% is the necessary probability.

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Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

$480

Step-by-step explanation:

Assuming that you have worked 10 hours and have done 3 policies in the equation 18h+100p, you want to plug in the said hours and policies into the variables to get this 18 (10) + 100 (3).  You should get $480 as a result.

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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Answer:

25

Step-by-step explanation:

There will be 25 banana candies in a pack of 20 strawberry candies.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Taffy Twist candy company keeps the same ratio of pieces of strawberry candies to Banana candies.

∴ 40 : 50 : : 20 : x.

40/50 = 20/x.

40x = 1000.

4x = 100.

x = 25

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Answer:

453605 rounded to the nearest thousand is 454000

Answer:

Step-by-step explanation:

For this case we have the following equation:

An equivalent way to write this equation is to multiply both sides of the equation by a scalar.

When multiplying both sides of the equation by 100 we have:

By doing distributive property we have:

Answer:

An equation that is equivalent is:

Answer:

139.93

Step-by-step explanation:

i used a online calculator

https://www.omnicalculator.com/physics/maximum-height-projectile-motion

The maximum height attained by the arrow will be 1,700 feet.

What is mean by Quadratic equation?

A polynomial which has a power two then its called a Quadratic equation.

Given that;

An arrow is launched upward with a velocity of 320 feet per second from the top of a 100-foot structure.

Let the equation for the height of the arrow at time t is;

h (t) = - 16t² + 320t + 100.

Here, The arrow is follow the path of a parabola that curves downwards.

The value of t for the vertex = - b / 2a

                                            = - 320/2×-16

                                            = 10

Substitute t = 10 in above equation, we get;

h (t) = - 16t² + 320t + 100.

h (t) = - 16 × 10² + 320 × 10 + 100

h (t) = -16 × 100 + 3200 + 100

h (t) = - 1600 + 3200 + 100

h (t) = 1,700

Therefore, The maximum height attained by the arrow will be 1,700 feet.

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Answer:

3

Step-by-step explanation:

1) Find two corresponding lengths between the image and the pre-image

Pre-image (bottom side) = 3 units

Image (bottom side) = 9 units

We can use any corresponding lengths for this step.

2) Divide the length of the side from the image by the length of the side from the pre-image

9 units ÷ 3 units

= 3

Therefore, the scale factor of the dilation is 3.

I hope this helps!

Answer:

there is a lot of ratios here, but I will try my best. A proportional relationship is the relationship that is proportional obviously. and if the ratio is related, pairs are equivalent to 7.5 then that must mean that the proportional relationship is fuevalent

Answer:

Area of the parallelogram = 120 square units

Area of the triangle = 17.5 square units

Area of the trapezoid = 372 square units

Step-by-step explanation:

The first polygon is a parallelogram with a base of 15 units and a height of 8 units.

\(\begin{aligned}\sf Area\;of\;a\;parallelogram&=\sf base \times height\\&=\sf 15 \times 8\\&=\sf 120\;square\;units\end{aligned}\)

Therefore, the area of the parallelogram is 120 square units.

\(\hrulefill\)

The second polygon is a triangle with a base of 5 units and a height of 7 units.

\(\begin{aligned}\sf Area\;of\;a\;triangle&=\sf \dfrac{1}{2} \times base \times height\\\\&=\sf \dfrac{1}{2} \times 5 \times 7\\\\&=\sf 17.5\;square\;units\end{aligned}\)

Therefore, the area of the triangle is 17.5 square units.

\(\hrulefill\)

The third polygon is a trapezoid with bases of 7 units and 24 units, and a height of 24 units.

\(\begin{aligned}\sf Area\;of\;a\;trapezoid&=\sf \dfrac{sum\;of\;bases}{2} \times height\\\\&=\sf \dfrac{7+24}{2} \times 24\\\\&=\sf \dfrac{31}{2}\times 24\\\\&=\sf 372\;square\;units\end{aligned}\)

Therefore, the area of the trapezoid is 372 square units.

Answer:

see below

Step-by-step explanation:

To find:-

Answer:-

There are three polygons viz parallelogram, triangle and a trapezium. To find out the areas we can use the following formulae :-

Area of triangle :-

Area of parallelogram:-

Area of trapezium:-

Now we may use the above formulae as ,

Area of the given parallelogram:-

→ A = base * height

→ A = * 15 * 8

→ A = 120units²

Area of the given triangle:-

→ A = 1/2 * b * h

→ A = 1/2 * 5 * 7

→ A = 17.5 units²

Area of the given trapezium:-

→ A = 1/2 * sum of || sides* distance between them

→ A = 1/2 * (7+24) * 24

→ A = 12 * 31

→ A = 372 units ²

This is our required answers .

The total cash due at signing is $3,700 at the local dealership..

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The total cash due is calculated as:

Down payment: $1,800

Security deposit: $400

Acquisition fee: $300

Total: $1,800 + $400 + $300

Apply the addition operation, and we get

= $3,700

Thus, the total cash due at signing is $3,700.

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Answer:

2. dM/dt = -0.11M

Step-by-step explanation:

Differential equations for proportional amouts:

A differential equation for proportional amounts is given by:

\(\frac{dx}{dt} = ax\)

In which a is the constant rate. If the amount increases, a is positive. If it decays, b is positive.

In this question:

Decays, so a < 0.

Proportional to the amount of the substance present at a given time, which means that a multiplies the amount M.

This means that the correct answer is given by option 2.

Answer:

184

Step-by-step explanation:

What you can do is just divide 904/360 and the remeinder is the answer so for this 1080 is too big so 720 and it is 904-720=184

Answer: C. 1.87 deaths per 100,000 people

Step-by-step explanation:

To find the fatality rate, we need to divide the number of traffic fatalities by the total population and then multiply by 100,000.

Fatality rate = (Number of traffic fatalities / Total population) x 100,000

Plugging in the values given in the question:

Fatality rate = (19,261 / 103,000,000) x 100,000 = 1.87 deaths per 100,000 people.

Therefore, the correct option is C.

The area of the compound shape is given as follows:

154.2 cm².

The shape is composed as follows:

For the rectangle, the area is given by the multiplication of the dimensions, hence:

Ar = 8 x 13

Ar = 104 cm².

For the circle, the area is given by the multiplication of pi = 3.14 by the radius squared, hence:

Ac = 3.14 x 4²

Ac = 50.2 cm².

Hence the total area is given as follows:

A = Ar + Ac

A = 104 + 50.2

A = 154.2 cm².

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Answer:

1.) 120 mph

2.) 30 mph

Step-by-step explanation:

Given that a  man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?

Let the wind speed = w

and the plane speed = p

From the first sentence,

P - w = 180/ 2

P - w = 90 ....... ( 1 )

From the second statement,

P + w = 180/1.2

P+ w = 150 ...... ( 2 )

Solve equation 1 and 2 simultaneously

P + w = 150

P - w = 90

Add the two equations

2P = 240

P = 120 mph

Substitute p in equation 1

W = 150 - 120

W = 30

Therefore, the wind speed is 30 mph and the plane speed is 120 mph

5x+7x=660;

12x=660;

x=660:12;

x=55 (kg).

Then 5x=5×55=275 kg and 7x=7×55= 385 kg.

The required ratio is therefore

660= 275:385.

Answer:

Approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 7.43cm, standard deviation of 0.35cm.

What percentage of the apples have diameters that are between 7.08cm and 7.78cm?

7.43 - 0.35 = 7.08 cm.

7.43 + 0.35 = 7.778 cm.

Within 1 standard deviation of the mean, so approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.

Answer:

X=5 y=15

Step-by-step explanation:

you got to solve the first variable in the first equation, then substitute the result in to the other.

Solution for the system of equations y = -5x + 40 and y = 3x are:

x = 5 , y = 15 .

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Given equations

y = -5x + 40   ------(a)

y = 3x           -------(b)

Substituting value of y from equation (b) to equation(a)

3x = -5x + 40

⇒ 3x + 5x = 40

⇒ 8x = 40

⇒ x = 40/8

⇒ x = 5

Substituting value of x in equation (b)

y = 3 × 5

⇒ y = 15

Hence, x = 5 and y = 15 are the solutions

for the system of equations

y = -5x + 40 and y = 3x

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