The price of an item has been reduced by 70% The original price was $51. What is the price now?

Answer:

- 14

Step-by-step explanation:

the bars around 2t , indicate the absolute value of 2t

the absolute value function always gives a positive value , that is

| - a | = | a | = a

so for example

| - 4 | = | 4 | = 4

given

\(\frac{2}{3}\) p - | 2t | - s² ( substitute values for p, t and s into the expression )

= \(\frac{2}{3}\) × 12 - | 2(- 3) | - (- 4)²

= 2 × 4 - | - 6 | - 16

= 8 - 6 - 16

= 2 - 16

= - 14

Answer:

73.8 g

Step-by-step explanation:

57.4/7 = 8.2 per cake

8.2 x 9 = 73.8 g

Answer:

I'm pretty sure the answer would be 73.8g

Step-by-step explanation:

Answer:

the board is 2.4 ft

Step-by-step explanation:

because 24/10 is 2.4

Answer:

  any value other than 8

Step-by-step explanation:

If c = 8, the two sides of the equation say the same thing, so any value of x will satisfy the equation.

If c ≠ 8, there are no values of x that can make the equation true, hence no solutions.

There is no solution for any value of c that is not 8.

\(c=-3x+8+3x\\c=8\)

If c = 8 then the solution is infinite. (because the equation is true)

\(-3x+7=-3x+8\\-3x+7+3x-8=0\\1=0\)

If c < 8 then there're no solutions. (the equation is false)

\(-3x+9=-3x+8\\-3x+9+3x-8=0\\1=0\)

If c > 8 then there're no solutions.

easy way. also if you look at the graph. It's literally impossible to have one intercept if the coefficient of x for both have the same operators and same absolute value like -2x+c = -2x + a or -3x+2 = -3x+5, we'll never get a single intercept. If we change like -3x+c = -5x+8, we might still get one solution.

Answer:

i ussually this answer so yeah but my class is tomorrow

Step-by-step explanation:

The perimeter of the right triangle shown is given by the following option:

39 units.

The perimeter of a figure is composed by the sum of the lengths of the outer edges of the figure.

The sides of the right triangle in this problem are given as follows:

Then, applying the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 5² + 17²

h = square root(5² + 17²)

h = 17.7.

The hypotenuse is the third side length of the triangle, hence it's perimeter is calculated as follows:

5 + 17 + 17 = 39 units.

(I suppose there was a typing mistake on the options).

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Answer:

its D

Step-by-step explanation:

30

Answer:

An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.

Step-by-step explanation:

hope this helps!

Similarities include:

Differences include:

Best of Luck!

The mean (μ) of the sample is 25 and the standard error (SE) is approximately 1.58.

To find the mean and standard error of a sample, we can use the formulas:

Mean (μ) = population mean = 25
Standard Error (SE) = √(variance / sample size)

Given that the population mean is 25 and the variance is 200, we can calculate the standard error as follows:

Standard Error (SE) = √(200 / 80)
SE = √2.5
SE ≈ 1.58

Therefore, the mean (μ) of the sample is 25 and the standard error (SE) is approximately 1.58.

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Cost per unit = Total manufacturing cost / Number of units produced = $1,663,240 / 6,400 = $259.88 per unit

To calculate the total manufacturing cost and cost per unit for the month of August, we need to determine the overhead cost for each activity:

1. Material handling: Number of parts used x Rate = 142,000 parts x $2.00 per part = $284,000
2. Assembly and inspection: Number of direct labor hours x Rate = 26,480 DLH x $25.00 per DLH = $662,000
3. Testing: Number of units tested x Rate = 6,400 units x $5.00 per unit = $32,000

Now, add up all the overhead costs: $284,000 + $662,000 + $32,000 = $978,000

Next, add direct material and direct labor costs:
Direct material cost = $208,600
Direct labor cost = 26,480 DLH x $18.00 per hour = $476,640

Total manufacturing cost = Direct material + Direct labor + Overhead costs = $208,600 + $476,640 + $978,000 = $1,663,240

Cost per unit = Total manufacturing cost / Number of units produced = $1,663,240 / 6,400 = $259.88 per unit

Manufacturing overhead cost = Number of direct labor hours x Rate = 26,480 DLH x $40.00 per DLH = $1,059,200

To calculate the total manufacturing overhead cost applied for the month of August using the $40.00 per direct labor hour rate.

Manufacturing overhead cost = Number of direct labor hours x Rate = 26,480 DLH x $40.00 per DLH = $1,059,200

The traditional method using a single predetermined overhead rate based on direct labor hours may not accurately capture the variation in overhead costs associated with different activities or products.

The activity-based costing (ABC) method is likely to provide better information for manufacturing managers because it allocates overhead costs based on specific cost drivers related to each activity. This allows for a more accurate representation of the resources consumed by each product or process. In contrast, the traditional method using a single predetermined overhead rate based on direct labor hours may not accurately capture the variation in overhead costs associated with different activities or products.

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Answer:

5(2x-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

10x-15 = 5(2x-3)  ...the factor is : 5

To find the side length of a regular 36-gon with an apothem of 228.6 m, we need to use the formula:
Side length = 2 x apothem x tan(180/n)

where n is the number of sides in the polygon. Substituting the given values, we get:

Side length = 2 x 228.6 m x tan(180/36)
Side length = 2 x 228.6 m x tan(5)
Side length = 2 x 228.6 m x 0.0875
Side length = 40 m

Therefore, the side length of the regular 36-gon is 40 meters. The apothem is the distance from the center of the polygon to the midpoint of a side, and by using the formula above, we were able to calculate the length of one side of the polygon.
To find the side length of a regular 36-gon with an apothem of 228.6 meters, we'll use trigonometry. In a regular polygon, the apothem serves as the radius of the inscribed circle and forms a right triangle with half of the side length and the center of the polygon.

Step 1: Divide the 36-gon into 36 equal triangles.
Step 2: Find the central angle of each triangle: 360°/36 = 10°.
Step 3: Calculate half the central angle: 10°/2 = 5°.
Step 4: Use the tangent function for the right triangle: tan(5°) = (side length/2) / 228.6.
Step 5: Solve for the side length: side length = 2 * 228.6 * tan(5°) ≈ 39.7 meters.

The side length of the regular 36-gon is approximately 39.7 meters.

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There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes.

A set of potential outcomes from a random experiment is known as a sample space. The sample space is identified by the letter "S." Events are the subset of possible experiment results.The results in a sample area could vary depending on the experiment. Discrete or finite sample spaces are those that have a finite number of outcomes.

The sample space showing all possible outcomes of the two questions is the Cartesian product of the two sets of answer choices, which is:

{(A, A), "(A, B), "(A, C), "(A, D), "(A, E), "(C, A), "(C, B), "(C, C), "(C, D), "(C, E")," "(D, A), "(D, B), "(D, C), "(D, D), "(D, E)}.

There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes. Each outcome is a pair of answers, where the first element of the pair is the answer to the first question and the second element of the pair is the answer to the second question.

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Answer:

16m tall

Step-by-step explanation:

Distance casted by the shadow = 32m = hypotenuse

Angle of elevation = 30 degrees

Required

Height of the building = opposite

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 30 = x/32

0.5 = x/32

x = 0.5 * 32

x = 16m

Hence the building is 16m tall

Step-by-step explanation:

Top Right:

Find the angles in the triangle to find y

180-112= 68 - this is the top angle of the triangle

x = must be corresponding to the angle next to 127

so do 180 -127 = 53 = x

180 - (53 + 68) = 59 = y

Answer:

The bottom right

x = 129

180-59 = 129

129 = x (vertically opposite angles)

y = 47

Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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The average speed of the car is 51 kph. The result is obtained by dividing the total distance by the total time taken.

Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as

Avg speed = Total distance covered / Total time taken

The speed itself can be found by the following formula.

s = d/t

Where

A car can travel at the following speeds.

Find the average speed!

We should convert the unit of time from minutes to hour.

t₃ = 45 minutes = ¾ h

t₄ = 15 minutes = ¼ h

We count the time and distance in each travels.

t₁ = d₁/s₁ = 20/40 = ½ h

t₂ = d₂/s₂ = 25/50 = ½ h

d₃ = s₃×t₃ = 60 × ¾ = 45 km

d₄ = s₄×t₄ = 48 × ¼ = 12 km

Avg speed = (s₁ + s₂ + s₃ + s₄)/(t₁ + t₂ + t₃ + t₄)

Avg speed = (40 + 50 + 60 + 48)/(½ + ½ + ¾ + ¼)

Avg speed = 102/2

Avg speed = 51 kph

Hence, the car has the average speed of 51 kph.

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The estimated market value of Citrus County's assets, with an average duration of 8 and a market value of $1 million, would be approximately $1,055,284 if the interest rate changes to 4%.

In this case, the assets have an average duration of 8. When the interest rate changes from 5% to 4%, the change in interest rates is 1%. By applying the duration formula, the estimated percentage change in the market value of the assets would be approximately -8% (negative duration multiplied by the change in interest rates).

To calculate the estimated market value, we need to multiply the estimated percentage change (-8%) by the current market value ($1 million) and add it to the current market value. Thus, the estimated market value would be approximately $1,055,284 (1,000,000 + (1,000,000 * -8%)).

Duration is a measure of the sensitivity of an asset's price to changes in interest rates. It provides an estimate of the percentage change in the market value of an asset for a given change in interest rates. The duration formula states that the percentage change in the market value of an asset is approximately equal to the negative duration multiplied by the change in interest rates.

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Answer:

try the option provided in the attachment.

Table B and C are represent the function.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find which relations below represent functions.

Now,

We know that;

A relation between a set of inputs having one output each is called a function.

Hence, By table 1;

Each output has same input.

Thus, Its not represent function.

By table 2;

A set of inputs having one output each.

Hence, Its represent function.

By table 3;

A set of inputs having one output each.

Hence, Its represent function.

Thus, Table B and C are represent the function.

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The value of the function given as d(x) at a value of x = 8 is -512

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

d(x) = (-x³)

Remove the bracket in the above expression

So, we have the following representation

d(x) = -x³

From the question, we have

x = 8

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

d(8) = -8³

Evaluate the expression

d(8) = -512

Hence, the solution is -512

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Usando proporciones, se encuentra que 400 africanos han participado.

En total, hay x participantes.

\(\frac{5}{6}\) de los corredores son europeos, o sea:

\(E = \frac{5x}{6}\)

Los americanos son la dècime parte de los europeos, o sea:

\(Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}\)

Los africanos son la quinta parte de los americanos, o sea:

\(Afr = \frac{1}{5}Am = \frac{x}{60}\)

En la carrera han inscritos 24 000 participantes, o sea, \(x = 24000\). Por eso, la cantidad de africanos es:

\(Afr = \frac{x}{60} = \frac{24000}{60} = 400\)

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Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.

Step-by-step explanation:

The y-coordinate for the point located 3/5 the distance from L to M is 6.

A line segment is a part of a line that extends between two endpoints. The length of a line segment can be calculated by determining the difference between the coordinates of the endpoints of the line segment, both horizontally (the x-coordinates) and vertically (the y-coordinates).

Using these information, we will find the coordinates of a point which is 3/5 of the distance from L to M.

The distance between L(0,1) and M(2,8) is calculated as follows:

d(L, M) = √[(8 - 1)² + (2 - 0)²] = √65.

To determine the x-coordinate of the point 3/5 of the way from L to M, we can use the formula:

x = x₁ + (3/5)(x₂ - x₁) = 0 + (3/5)(2 - 0) = 1.2

To determine the y-coordinate of the point, we can use the formula:

y = y₁ + (3/5)(y₂ - y₁) = 1 + (3/5)(8 - 1) = 6

Therefore, the y-coordinate of the point 3/5 of the way from L to M is 6.

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Answer:

  1/3

Step-by-step explanation:

The simulation will say that Jeffrey collected three different toys if the numbers in a group of three are either 0 or 1, a number more than 1 and less than 6, and a number 6 or more.

The groups {3, 7, 1}, {5, 1, 7}, {9, 2, 0}, {3, 0, 6} and {4, 6, 0} all simulate collection of all three toys from three boxes of cereal. Of the 15 simulated sets of three boxes, that is a probability of 5/15, or 1/3.

_____

Additional comment

The simulated toy numbers can be grouped in different ways. For example, we could take a vertical column of numbers as representing the purchase of 3 boxes of cereal. Doing that, we find 3 different toys only for the simulated values {4, 0, 6}, the last digits in the 4th column. The probability from considering the simulation that way is 1/15.

From this group of 45 numbers, one could calculate P(car) = 10/45, P(bus) = 19/45, and P(airplane) = 16/45. These vary a little from the theoretical values. Overall, with these values, the probability of 3 different toys from 3 boxes is about 0.200, only slightly different from the theoretical probability of 0.192.

Answer:

z(x+y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Z(x+y)

Step-by-step explanation:

10x-6x+12=12x-24-8x

4x+12=4x-24

4x-4x≠-24-12

thus,it is erroneous

The direction of the angle of vector is θ ≈ -59.04°

Given data ,

To find the direction angle of a vector, we can use the formula:

θ = arctan((y₂ - y₁) / (x₂ - x₁))

Given the initial point (7, -2) and terminal point (4, 3), we can substitute these values into the formula:

θ = arctan((3 - (-2)) / (4 - 7))

Simplifying the numerator and denominator:

θ = arctan(5 / (-3))

On simplifying , we get

θ ≈ -59.04°

Hence , the direction angle of the vector is approximately -59.04 degrees.

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The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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a. Area of the exposed water of the prism pool: 33.5 ft²

b. The area of exposed water for the cone pool = 102.1 ft²

c. Hemisphere pool = πr² = π(4²) = 50.3 ft²

Volume = (2/3)πr

Volume = 1/3πr²h

Volume = Base area × height

a. Area of the exposed water = area of the square top = base area of the prism

Find base area using, Volume = Base area × height. Thus:

134 = Base area × 4

Base area = 134/4 = 33.5 ft²

Area of the exposed water for the prism pool = 33.5 ft²

b. Find the radius of the cone using, volume = 1/3πr²h.

134 = 1/3πr²(4)

(3)(134) = πr²(4)

402/4π = r²

32 = r²

r = 5.7 ft

The area of exposed water for the inverted cone pool = πr² = π(5.7)² = 102.1 ft²

c. The radius is the depth of the hemisphere pool

The area of the exposed water for the hemisphere pool = πr² = π(4²) = 50.3 ft²

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You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

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