PLEASE HELP ITS DUE IN 30 MINS ILL MARK YOU BRAINLIEST

While working in a custom manufacturing plant, you are designing a sign for a construction company. The top face of the sign is in the shape of a triangle; it has a base length of 18 inches and a height of 24 inches. You need to know the area of that face of the sign to create a cost estimate for the customer.

What is the area, in square inches, of the face of the sign?

21
42
200
216
432

Answer:

tan(9pi/12) = 0.041146549

Step-by-step explanation:

The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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if you mean that 3x+3=0 then x should equal 0

Answer:

x = 27

Step-by-step explanation:

3x + 3 = 84

3x = 84 - 3

3x = 81

x = 81/3

x = 27

The inequality expression given as -x/3 < 5 has a solution of x > -15

From the question, the inequality is given as

-x/3 < 5

The above inequality can be re-written as follows

-x/3 < 5

There is no constant to add or subtract in the expression

So, we start by multiplying both sides of the expression by a constant

Multiply both sides by 3

expression

-x < 15

Divide both sides by -1

So, we have the following representation

x > -15

Hence, the solution to the expression is x > -15

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The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

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To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

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Answer:

1.76

Step-by-step explanation:

Answer:

1/76

Step-by-step explanation:

The solution of the equation is y = 3.

An equation between two variables that gives a straight line when plotted on a graph.

The solution to the equation is;

\(\rm y + 3 = -y + 9\\\\y+y=9-3\\\\2y=6\\\\y=\dfrac{6}{2}\\\\y=3\)

Hence, the solution of the equation is y = 3.

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Answer: The wrestler won 45% of their matches.

Step-by-step explanation:

When are trying to find percentages, we are finding part of a whole. 31 is the whole and the part is 14.

If I was to set \(\frac{14}{31}\) to an equivlent fraciton of over 100, we would get something close to 45.

a) Rocky Mountain should order 200 tires each time it places an order.

b) The total cost of this policy is $17,160.

a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:

If fewer than 200 tires are ordered: The purchase price is $25 per tire.

If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.

If 8,000 or more tires are ordered: The purchase price is $13 per tire.

Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.

b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:

Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200

Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950

Therefore, the total cost of this policy is $40,950.

Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.

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If you have applied for two jobs a and b and the probability that you get an offer for the job a is 0.25 and the probability of being offered job b is 0.20, then the probability that you will be offered both jobs is 0.05.

Probability is that branch of mathematics that deals with the numerical description of the possibility of an event to occur. The probability of any event is a number between 0 and 1 where 0 represents the impossibility of the event to occur while 1 represents certainty of that event to occur.

As the probability of the job a and job b are independent of each other, the probability that both jobs will be offered can be determined by using the formula;

P(A∩B) = P(A) × P(B)

Here, P(A∩B) represents the probability of both the events happening together

As P(A) = 0.25

P(B) = 0.20

P(A∩B) = 0.25 × 0.20

P(A∩B) = 0.05

Hence, the probability that both jobs will be offered is calculated to be 0.05.

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As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

A polynomial is a mathematical equation that only uses addition, subtraction, multiplication, and non-negative integer exponents and is made up of variables and coefficients. To put it another way, a polynomial is an algebraic expression made up of terms that are sums, products, and/or products of variables and coefficients. The leading coefficient is the coefficient of the term with the highest degree, while the degree of a polynomial is the maximum power of the variable in the expression.

given

(a) We need to determine Q(10), Q'(10), and Q" in order to determine the second degree Taylor polynomial for Q(t) with a center at t=10 (10).

As we are aware, Q(10) = 200. (given in the problem statement).

We must take the derivative of Q(t) with respect to t in order to determine Q'(10):

Q'(t) = -5t + 250

Q'(10) = -5(10) + 250 = 200

We must take the derivative of Q'(t) with respect to t in order to determine Q"(10):

Q''(t) = -5

Q''(10) = -5

The second degree Taylor polynomial can now be calculated using the following formula: P2(t) = Q(10) + Q'(10)(t-10) + (1/2)Q"(10)(t-10)2.

With the numbers we discovered, we can calculate P2(t) as 200 + 200(t-10) + (1/2)(-5)(t-10)2.

\(P2(t) = 200 + 200(t-10) - (5/2)(t-10)^2\)

(b) We must assess the second degree Taylor polynomial at t=12 in order to determine how much oil is in the lake at that time.

P2(12) = 210 gallons because P2(12) = 200 + 200(12-10) - (5/2)(12-10)2. (rounded to the nearest gallon)

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

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Answer:

The answer will be -300

Step-by-step explanation:

Doing this in a calculator, it will give you -300

On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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The total number of radians swept out from the east side of the trail to the skier's current position as 3.4t - π/2.

To represent the number of radians that would need to be swept out from the east side of the ski trail to reach the skier's current position, we can use the expression 3.4t - π/2, where t represents the number of hours since the skier started skiing.

The skier starts at the northernmost point of the circular ski trail, which can be considered as the 12 o'clock position. We can imagine the east side of the ski trail as the 3 o'clock position. As the skier skis counterclockwise (CCW) along the trail, she sweeps out 3.4 radians per hour.

Since the skier starts at the northernmost point, she needs to cover an additional π/2 radians to reach the east side of the trail. This is because the angle between the northernmost point and the east side is π/2 radians.

Therefore, we can express the total number of radians swept out from the east side of the trail to the skier's current position as 3.4t - π/2. The term 3.4t represents the number of radians swept out by the skier in t hours, and subtracting π/2 accounts for the initial π/2 radians needed to reach the east side of the trail from the northernmost point.

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Given system of linear equations is.

=2x-6y=163x-5y-12

Now, we'll make a matrix representation of this system of equations. It is as follows.

\([2 -6 16] [3 -5 -12] [/text]

Now, we will complete the Gauss-Jordan elimination using row operations.

For this, we will use the multiplication factor of 3/2 for the second row. [1 0 0][0 1 -9]Now, we can interpret the row reduced echelon form of the matrix as the following system of linear equations;x = 0y = -9Substituting the value of y in the first equation we get.

x = 6

Therefore, the solution to the given system of linear equations is.

x = 6y = -9.

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Answer:

Grace is right

Step-by-step explanation:

3(2-x)-2(6x-8)=

so:

3×2 is 6

3×(-x) is -3x

-2×6x is -12x

-2×(-8) is 16 because -×- equals +

3(2-x)-2(6x-8)

=6-3x-12x+16

= -15x+22

Answer:

Grace

Step-by-step explanation:

Chelsea is wrong because the -2(6x - 8) cancels out the subtraction in the bracket so it should be -12x + 16

Roan did the same.

Please mark me Brainliest

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{0}}}}}\)

Step-by-step explanation:

\( \sf{1 - 3x = 1 - x}\)

Move x to left hand side and change it's sign

Similarly, move 1 to right hand side and change it's sign

\( \dashrightarrow{ \sf{ - 3x + x = 1 - 1}}\)

Collect like terms

\( \dashrightarrow{ \sf{ - 2x = 0}}\)

Divide both sides by -2

\( \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ 0}{ - 2}}} \)

Calculate

\( \dashrightarrow{ \sf{ x = 0}}\)

Hope I helped!

Best regards! :D

Answer:

VY = 28 units

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2 ( length + breadth )

given P = 130 , then

2(5y + 2 + 4y) = 130 ( divide both sides by 2 )

9y + 2 = 65 ( subtract 2 from both sides )

9y = 63 ( divide both sides by 9 )

y = 7

Then

VY = 4y = 4 × 7 = 28

Answer:

Graph D

Step-by-step explanation:

We can look at the number of pounds of pecans and cashews, shown on the x- and y-axis, respectively.

All of the graphs have an x-intercept of (4, 0), meaning that the number of pecans being bought is 4 lbs.

Since pecans cost $6 per lb, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

Let's look at the y-axis to see how many lbs of cashews Malik can buy. The y-intercept is (0, 3) for all graphs, meaning that 3 lbs of cashews are being bought.

Since cashews cost $8 per pound, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

The shaded area represents the values that can be used in the problem. Since we want $24 or less, the shaded region has to be below the line.

Malik can spend no more than $24, so the line should be solid since this means that the values the line touches are inclusive. 4 lbs of pecans and 3 lbs of cashews should be inclusive.

The graph that has all of these properties is Graph D.

Answer:

\(\boxed{y=\frac{c}{b}-\frac{ax}{b}}\)

Step-by-step explanation:

\(ax+by=c\\\\ax-ax+by=c-ax\\\\by=c-ax\\\\\frac{by=c-ax}{b}\\\\\boxed{y=\frac{c}{b}-\frac{ax}{b}}\)

Hope this helps.

Answer:

Step-by-step explanation:

The probability of rolling a 1 is 0.85; then the probability of rolling not 1 is

1 - 0.85 = 0.15

Each box that states rolling a 1 gets 0.85. Each box that states not rolling 1 gets 0.15.

                                   second

                first              roll

                roll            

                             /     0.85   1

       1        0.85 /

                           \    0.15     not 1

                             /  0.85   1

not 1           0.15

                         \

                            \    0.15     not 1

Answer:

(0,-3)

Step-by-step explanation:

C( 5,1)

5 is the horizontal value.  It is the distance from zero.  If we go 5 units left we will be at 0

1 is the vertical value.  Is is the distance above the x axis.  If we go down 4 units, we will be at -3

(0,-3)

A researcher obtains z = -6.45. The decision for a one-tailed test, upper-tail critical, at a .05 level of significance to retain the null hypothesis, option B.

Now, determining the critical value for the one-tailed test, upper-tail critical, at a .05 level of significance. Using a z-table, we find that the critical value for a one-tailed test at the .05 level of significance is 1.645.
Then, compare the obtained z-value to the critical value. In this case, the obtained z-value is -6.45, and the critical value is 1.645.
Further, making a decision based on the comparison. Since the obtained z-value (-6.45) is less than the critical value (1.645), we fail to reject the null hypothesis.
Therefore, the correct option is B) to retain the null hypothesis.

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Answer:

\(y=-\frac{4}{3} x+2\)

Step-by-step explanation:

In order to write an equation that represents a line, you have to write it in Slope-Intercept Form.

Slope-Intercept Form: y = mx+b

Where b represents the Y-intercept

Where m represents the Slope

**********************************************

That's all you need to know about Slope-Intercept Form!

How do we get started?

Well first off, take a look at the graph and spot two points that are shown

The two points will be: (0, 2) and (3, -2)

Then use the two points to Solve for the Slope of the line!

m = slope

m = \(\frac{y2-y1}{x2-x1}\)       Second y - first y/ Second x - First x

m = \(\frac{-2-2}{3-0}\)        

m = \(\frac{-4}{3}\)           Turn the whole answer negative since there's a negative

m = \(-\frac{4}{3}\)           Final Answer

so the slope of the line is -4/3

Now we need to get the Y-intercept of the line!

Easy we don't need to solve just look how many units the graph goes up in y-axis?

2 units

so the y-intercept of the line is 2

Equation: y = -4/3x + 2

Answer:

B

Step-by-step explanation:

without a rate of change, graphs will be flat and nonsensible. and, if the function is not a strait line, it is not linear. the function does not have to pass the origin or (0,0)

Mr. Willams

Good luck with your homework.

Answer:

terms are like 2x 2x^2 3x ect. polynomials with a degree of 5 is where the term that has the highest exponent is the degree

Step-by-step explanation:

^

Answer: B

Step-by-step explanation:

y intercept is -2

y = 3/2x^2 + 4x – 2

y = 3/2(0^2) + 4(0) – 2 = -2

and x intercepts are

0 = 3/2x^2 + 4x – 2

about

x =  0.43050087, -3.09716754

The Cartesian coordinate system is also referred to as a plane because it represents a two-dimensional space.

In mathematics, a plane is a flat surface that extends infinitely in all directions. The Cartesian coordinate system consists of two perpendicular lines, known as the x-axis and y-axis, which intersect at a point called the origin. These axes divide the plane into four quadrants.

The term "plane" in the context of the Cartesian coordinate system originates from the concept of a geometric plane, which is a fundamental concept in Euclidean geometry. In Euclidean geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions.

The Cartesian coordinate system borrows this concept and applies it to represent points, lines, curves, and shapes in a two-dimensional space.

By using the Cartesian coordinate system, we can assign coordinates (x, y) to any point in the plane, where the x-coordinate represents the horizontal position and the y-coordinate represents the vertical position.

This system allows us to precisely locate and describe objects or phenomena within the two-dimensional space, making it a valuable tool in various fields such as mathematics, physics, engineering, and computer graphics.

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