PLEASE HELP MATH!!!!!! MULTIPLE CHOICE!!

Choose 1 answer:

(Choice A)

sin(30°)

(Choice B)

cos(30°)

(Choice C)

sin(300°)

(Choice D)

cos(300°)

(Choice E)

sin(330°)

(Choice F)

cos(330°)

Answer:

15/14

Step-by-step explanation:

I am assuming you meant. 3(x+1/2)

10x-6=3x+3/2

7x=3/2+12/2

7x=15/2

x=15/2*1/7

x=15/14

The value of x from the given equation is 15/14.

The given equation is 10x-6=3(x+1/2)

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows

10x-6=3x+3/2

⇒ 10x-3x=3/2 +6

⇒ 7x = (3+12)/2

⇒ 7x = 15/2

⇒ x=15/14

Hence, the value of x from the given equation is 15/14.

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Answer: 2289.06

Step-by-step explanation:

math expert

Answer:

r = 169.56 in. / 2π ≈ 27 in.

Now we can use the radius to find the area:

Area = πr^2 ≈ π(27 in.)^2 ≈ 2289.06 in^2

So the area of the circular table is approximately 2289.06 square inches, rounded to the nearest hundredth. The answer is option C.

Answer:

Step-by-step explanation:

We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.

From the diagram, it is clear that

As all the four sides of the rhombus have equal length.

So we can observe

\(VW=WX\)

\(6m-12 = 4m+4\)

Add 12 to both sides

\(6m-12+12=4m+4+12\)

\(6m=4m+16\)

\(2m=16\)

Divide both sides by 2

\(\frac{2m}{2}=\frac{16}{2}\)

\(m=8\)

so

The length of VW= 6m-12

                             = 6(8)-12  ∵ \(m=8\)

                              = 48-12

                              = 36

Thereofore, the length of VW = 36 units.

Answer:

Remainder → (76)

Step-by-step explanation:

Given function;

f(x) = x² - 5

f(x) = x² + 0.x - 5

We have to divide this function by expression (x + 9).

x + 9) x² + 0.x - 5 (x - 9

        x² + 9x

             - 9x - 5  

             - 9x - 81

                      76

Therefore, by dividing the function 'f' by (x + 9) remainder is (76).

Answer:

Step-by-step explanation:

a)  The limit as x approaches infinity of 1/x(ln(x))^2 is 0.

b) The limit does not exist because the expression evaluates to an undefined value.

a) To evaluate the limit as x approaches infinity of 1/x(ln(x))^2, we can use the concept of L'Hôpital's rule. This rule states that if we have an indeterminate form of the type 0/0 or ∞/∞, then we can differentiate the numerator and the denominator separately until we obtain a determinate form.

Taking the derivative of the numerator and denominator, we get:

lim x→∞ 1/x(ln(x))^2 = lim x→∞ (d/dx 1) / (d/dx (x(ln(x))^2))

= lim x→∞ 0 / (2x(ln(x)) + x(1/x)(2ln(x)))

= lim x→∞ 0 / (2ln(x) + 2)

= 0 / ∞

= 0

Therefore, the limit as x approaches infinity of 1/x(ln(x))^2 is 0.

b) To evaluate the limit as x approaches 1 from the left of (2-x)tan(π/2 x), we substitute x = 1 into the expression:

lim x→1- (2-x)tan(π/2 x) = (2-1)tan(π/2 * 1)

= 1 * tan(π/2)

= 1 * undefined

= undefined

The limit does not exist because the expression evaluates to an undefined value.

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Control limits are based on multiples of the sample statistic's standard deviation, hence the assertion is false that "control limits are based on multiples of the process standard deviation".

A control chart is made up of many different parts. There are two control limitations. The top dashed line represents the upper control limit (UCL), and the bottom dashed line represents the lower control limit (LCL).The solid middle line denotes the statistic's average for the plot.

The horizontal lines known as control limits in a control chart show the upper and lower limits of the acceptable range of results for a process. When plotted data goes over a control limit, a process is out of control and requires management action. The control limits are defined as three standard deviations on either side of the mean.

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To determine whether the given vectors V1, V2, and Vz are linearly independent, we can set up a system of linear equations using these vectors and solve for the coefficients. If the system has a unique solution where all coefficients are zero, then the vectors are linearly independent. Otherwise, if the system has non-zero solutions, the vectors are linearly dependent.

Let's set up the system of linear equations using the given vectors V1, V2, and Vz:

x * V1 + y * V2 + z * Vz = 0

Substituting the values of the vectors:

x * (11, -3) + y * (1, -3, 1) + z * (-3, 1, 1) = (0, 0)

Expanding the equation, we get three equations:

11x + y - 3z = 0

-3x - 3y + z = 0

-x + y + z = 0

We can solve this system of equations to find the values of x, y, and z. If the only solution is x = y = z = 0, then the vectors V1, V2, and Vz are linearly independent. If there are other non-zero solutions, then the vectors are linearly dependent.

By solving the system of equations, we can determine the nature of the vectors.

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Answer:

x = 4 1/3

Step-by-step explanation:

To solve the equation 6x + 64 = 90, we must isolate the variable.

6x + 64 = 90

    -  64  - 64

6x = 26

/ 6   / 6

x = 4 1/3

Answer:

4.3333333 on going so a stop will be 4.3

Step-by-step explanation:

the total 90, minus 64 will give you 26, the divide 26 by 6 which will give you 4.33333

Answer:

1676

Step-by-step explanation:

14,000-5,358-2,834-$4,132 = 1676

a) The break-even points for the given cost and revenue functions are approximately x = 16.526 and x = 6.474.

b) The break-even points for the given cost and revenue functions are approximately x = 12.225 and x = 62.775.

c) The maximum profit for the given cost and revenue functions is approximately $843.75.

a) To find the break-even points, we need to determine the values of x where the total costs (C(x)) equal the total revenues (R(x)). We set C(x) = R(x) and solve for x:

C(x) = R(x)

1760 + 8x + 0.6x² = 100x - 0.4x²

Combining like terms and rearranging the equation, we get:

1x² - 92x + 1760 = 0

Solving this quadratic equation, we find two solutions for x:

x ≈ 16.526

x ≈ 6.474

b) Similarly, we set C(x) = R(x) and solve for x:

900 + 25x = 100x - x²

Rearranging the equation, we get:

x² - 75x + 900 = 0

Solving this quadratic equation, we find two solutions for x:

x ≈ 12.225

x ≈ 62.775

c) To find the maximum revenue, we need to determine the vertex of the revenue function R(x) = 100x - x². The x-coordinate of the vertex is given by x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -1 and b = 100. Plugging in the values, we get:

x = -100 / (2 * -1) = 50

Substituting this value back into the revenue function, we find:

R(50) = 100(50) - (50)² = 5000 - 2500 = 2500

Therefore, the maximum revenue for the given cost and revenue functions is $2500.

To find the maximum profit, we need to subtract the total costs from the total revenues. Given that the cost function is C(x) = 900 + 25x, the profit function is P(x) = R(x) - C(x). Substituting the revenue and cost functions, we have:

P(x) = (100x - x²) - (900 + 25x)

P(x) = -x² + 75x - 900

To find the maximum profit, we need to determine the vertex of the profit function. Using the same formula as before, we find:

x = -75 / (2 * -1) = 37.5

Substituting this value back into the profit function, we find:

P(37.5) = -(37.5)² + 75(37.5) - 900 ≈ 843.75

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The most appropriate type of graph for graphing heart rate data over the time period of 120 seconds would be a line graph or a scatter plot.

A line graph is useful when we want to show the trend or changes in a variable over time. It would allow us to plot the heart rate on the y-axis and the time on the x-axis, connecting the data points with a line to represent the change in heart rate over the 120-second period.

A scatter plot can also be used to display heart rate data over time. In a scatter plot, each data point represents a heart rate measurement at a specific time point. By plotting the heart rate on the y-axis and the time on the x-axis, we can observe the distribution of the data points and any potential patterns or trends.

Ultimately, the choice between a line graph and a scatter plot depends on the specific nature of the data and the purpose of the graph. If the heart rate data is continuous and measured at regular intervals, a line graph would be a suitable choice. If the heart rate data is more discrete or irregularly measured, a scatter plot would be more appropriate.

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The original price of her purchase is $18

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

Discount = 10%

Savings = $18

This implies that

Savings = discount * Original amount

So, we have

Original amount = savings/discount

Substitute the known values in the above equation, so, we have the following representation

Original amount = 18/10%

Evaluate

Original amount = $180

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Answer:

D 40°

Step-by-step explanation:

52= X + 64 /2

*2.      *2

104 = X + 64

-64        -64

40 =X

The positive integers that will make (32)x greater than 39 must be greater than 39/32

A whole number that is greater than zero is what is meant by the term "positive integer."

All counting numbers are included in the set of positive integers (that is, the natural numbers)

In the problem, the given expression is (32)x greater than 39 rewriting gives

(32)x > 39

solving for x

x > 39/32

the integer must be greater than 39/32

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The little monsters solved 15 problems in March's Math meet

Given, that in November's math meet, the little monsters of beast academy solved 1/5 of the problems.

In March's math meet, they solved 2/3 of the problems.

In total, the little monsters solved 13 of 30 problems over both math meets.

Let, the number of problems in November be n,

and  the number of problems in March be m

According to the question,

n + m = 30 as, the total problems be 30

Now, (1/5)n + (2/3)m = 13 as, they solved total 13 problems

n + m = 30 ... (1)

n/5 + 2m/3 = 13 ... (2)

On simplifying Eq (2) becomes

3n + 10m = 195 ... (2)

On multiplying Eq (1) by 3, we get

3n + 3m = 90

3n + 10m = 195

On subtracting, we get

- 7m = - 105

m = 105/7

m = 15

So, the problems asked in March's Math meet be 15.

Hence, 15 problems were asked at March's Math meet.

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Answer:

Your answer is C and D

Step-by-step explanation:

Answer:

D. y = -x - 1

Step-by-step explanation:

   We are using slope-intercept form for this problem.

   Since this line is going from upper left to bottom right we know it will have a negative slope.

   The line intersects the y-axis at -1, so the b value is -1.

             The equation for this line is D. y = -x - 1

Answer: 62.5% water

100 * 50 / (50 + 30) = 100 times, then you do 50/80 and you get 62.5.

Answer:

62.5% or 62.5

Step-by-step explanation:

;)

Answer:

If in triangles ABC and DEF, angle A = angle D = right angle, AB = DE (leg), and BC = EF (hypotenuse), then triangle ABC is congruent to triangle DEF.

Answer:

$3.10

Step-by-step explanation:

To calculate the profit the store owner makes on a bottle of spices that Jayden buys, we need to consider the cost price, the selling price, and the discount applied. Let's break it down step by step:

Cost price: The store owner buys the bottle of spices for $5.

Markup: The store owner adds an 80% markup to the cost price to determine the selling price.

Markup = 80/100 * $5

= $4

Selling price = Cost price + Markup

= $5 + $4

= $9

Discount: Jayden uses a 10% off coupon to buy the bottle of spices.

Discount = 10/100 * $9

= $0.9

Amount paid by Jayden = Selling price - Discount

= $9 - $0.9

= $8.10

Profit: To calculate the profit, we subtract the cost price from the amount paid by Jayden.

Profit = Amount paid by Jayden - Cost price

= $8.10 - $5

= $3.10

Therefore, the store owner makes a profit of $3.10 on a bottle of spices that Jayden buys.

The area of a 2D form is the amount of space within its perimeter. The area of the school will be equal to 35/108 miles².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the school is the product of length and width. Given the length is 7/12 mile, while the width is 5/9 mile. Therefore, The area of the school campus will be,

Area = (7/12) × (5/9)

        = (35/108) miles²

Hence, the area of the school will be equal to 35/108 miles².

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The correct function for h(x), which represents the transformation of f(x) by shifting it down 4 units and right 3 units, is h(x) = |x - 3| + 4. To determine the correct function for h(x) that represents the desired transformation of f(x).

We need to understand the effects of shifting down and right on the absolute value function. Shifting a function down by a certain number moves all the points on the graph vertically downward by that amount. In this case, f(x) is shifted down by 4 units. To achieve this, we add 4 to the original function, resulting in |x| + 4.

Shifting a function right by a certain number moves all the points on the graph horizontally to the right by that amount. In this case, f(x) is shifted right by 3 units. To achieve this, we replace x in the function with (x - 3), resulting in |x - 3|.Combining the two transformations, we have h(x) = |x - 3| + 4, which correctly represents the function obtained by shifting f(x) down 4 units and right 3 units.

In h(x) = |x - 3| + 4, the term |x - 3| represents the absolute value of the shifted variable x - 3, and adding 4 moves the entire graph vertically upward by 4 units. Therefore, h(x) = |x - 3| + 4 is the correct function for h(x), representing the desired transformation of f(x) by shifting it down 4 units and the right 3 units.

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Answer:

73 2/6

Step-by-step explanation:

The particular solution to the difference equation y[n] - (9/16) y[n-2] = x[n-1] with x[n] = 2 is y[n] = 2 - (3/4)^n. The first step to solving the difference equation is to find the homogeneous solution. The homogeneous solution is the solution to the equation y[n] - (9/16) y[n-2] = 0.

This equation can be solved using the Z-transform, and the solution is y[n] = C1 (3/4)^n + C2 (-3/4)^n, where C1 and C2 are constants. The particular solution to the equation is the solution that satisfies the initial condition x[n] = 2. The particular solution can be found using the method of undetermined coefficients. In this case, the particular solution is y[n] = 2 - (3/4)^n.

The method of undetermined coefficients is a method for finding the particular solution to a differential equation. In this case, the method of undetermined coefficients involves assuming that the particular solution is of the form y[n] = an + b. The coefficients a and b are then determined by substituting the assumed solution into the difference equation.

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Answer:

0.07

Step-by-step explanation:

its gonna be sin 7/10 which is approx. 0.06569 rounded to the nearest tenth is 0.07

Answer:

So judging by the fact that this is a right triangle clearly we know that we have 90 degrees. X is less than this and doesn't seem equal to the top angle area which looks to be 50 or so degrees I believe side x is 30 or 35 degrees. Sorry if I'm wrong! -Your friend, Bill Cipher

Step-by-step explanation: Have a great V-day <3

The least distance traveled is \($240\sqrt{3}$\) feet.

Each boy shakes hands with the two boys who are not adjacent to him on the circle. Since there are six boys in total, each boy shakes hands with four other boys. We can represent these handshakes on a graph, where the six vertices represent the six boys and the edges represent the handshakes. Each vertex has degree 4, meaning that there are 12 edges in total.

To minimize the distance traveled, each boy should simply walk directly across the circle to shake hands with the two boys on the opposite side. This way, each boy walks a distance equal to the diameter of the circle, which is \(2 \times 40 = 80$ feet.\)

Since there are six boys, the total distance traveled is \(6 \times 80 = 480$ feet\). However, we have counted each handshake twice, so we need to divide by 2 to get the total distance traveled. This gives us \(240$ feet.\)

To express this answer in the simplest radical form, we can use the fact that an equilateral triangle with side length \(s$\) has height \(s\sqrt{3}/2$\). The six handshakes form an equilateral triangle with side length 80, so its height is \(80\sqrt{3}/2 = 40\sqrt{3}$ feet\). Therefore, the total distance traveled is \(240\sqrt{3}$\) feet.

Therefore, the correct answer is \(240\sqrt{3}$\)feet.

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