Simplify: (-8) x (6)-(5)x(-2)

Answer:

The first one

Step-by-step explanation:

The first simbol means that job is part of the Books of the Old Testament which is true, because the Book of Job it is in the Old Testament

Answer:

$135

Step-by-step explanation:

You need to divide:

675/5= 135

135 equals 1/5 of 675

Hope this helps! :)

During the winter season, a family sets up a hot chocolate stand near a local ice skating rink. They sell cups of hot chocolate for $1.50 each and typically sell 50 cups per day.

However, due to changes in weather conditions and customer preferences, the family decides to conduct a market experiment by varying the price of hot chocolate to assess the impact on sales volume. The experiment involves increasing the price to $2.00 per cup and monitoring the resulting sales.

By increasing the price of hot chocolate from $1.50 to $2.00 per cup, the family aims to observe how the change in price affects the demand for their product. The experiment helps them understand the price elasticity of demand, which measures the responsiveness of quantity demanded to changes in price. If the increase in price leads to a significant decrease in sales volume, it suggests that the demand for hot chocolate is elastic, meaning consumers are sensitive to price changes. Conversely, if sales remain relatively stable despite the price increase, it indicates that the demand is inelastic, indicating that consumers are less sensitive to price changes. The family can analyze the results of this experiment to make informed pricing decisions and optimize their profitability during the winter season.

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Answer: No

Step-by-step explanation: 6^2+7^2=85

8^2=64

The considered fraction is ationalized by multiplying the numerator and denominator by the expression as given by: Option A: √7 + 2

Suppose the given fraction is \(\dfrac{a}{b+c}\)

Then the conjugate of the denominator is given by b - c

Thus, rationalizing the fraction will give us

\(\dfrac{a}{b+c} \times \dfrac{b-c}{b-c} = \dfrac{a(b-c)}{b^2 - c^2}\)

(we used the identity \((b-c)(b+c) = b^2 - c^2\))

We actually rationalize just for the use of that later denominator or numerator(if they seem to be helpful).

Remember that

\(\dfrac{b-c}{b-c} = 1\)

thus, multiplying it with the fraction doesn't change its value, and just change the way how it looks. We assume that b-c is not 0

For this case, the given fraction is:

\(\dfrac{5}{\sqrt{7} - 2}\)

Thus, here we will multiply the denominator with \(\sqrt{7} + 2\) so that we can use the identity \((b-c)(b+c) = b^2 - c^2\).

Thus, we get:

\(\dfrac{5}{\sqrt{7} - 2} \times \dfrac{\sqrt{7} + 2}{\sqrt{7} + 2} = \dfrac{5(\sqrt{7} + 2)}{(\sqrt{7})^2 - 2^2} = \dfrac{5(\sqrt{7} + 2)}{3}\)

See, the denominator now looks a bit better. We try to make it look smooth and simplified because division is more complex than multiplication, so its better to have square root term in numerator than in denominator.

Thus, the considered fraction is ationalized by multiplying the numerator and denominator by the expression as given by: Option A: √7 + 2

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The square root function involves the square root symbol √ which is  mostly read as "square root of", the rule says that the square root of a number 'x' is a number 'y' such that y² = x.

We know that the square root of a number can be either positive or negative, but while defining the square root function, we restrict its range to be the set of all positive real numbers and hence making all square roots possible to be positive.

If the range for the square root of a number is set to be positive as well as negative it wont be a function that is why there is a restriction to the range of this set allowing only positive real numbers.

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Answer:

p = 4

Step-by-step explanation:

3p + 8 = 20

3p = 20 - 8

3p = 12

p = 12/3

p = 4

Answer:

see below

Step-by-step explanation:

2p + 8 = 20 - p

add p to both sides

2p + p + 8 = 20 - p + p

combine like terms

3p + 8 = 20

subtract 8 from both sides

3p + 8 - 8 = 20 - 8

combine like terms

3p = 12

divide both sides by 3

3p / 3 = p

12/3 = 4

we're left with p = 4

Answer:

the answer is table B

Step-by-step explanation:

Answer:

Table B shows a proportional relationship

Explanation:

In a proportional relationship two quantities vary directly with each other.

So,

y ∝ x

y = kx

Where, k is the constant of variation.

The ordered pairs of table A are (-2,2), (-1,3), (0,0) and (1,5).

From these ordered pairs we can conclude that the value of y-coordinate is not changing according to the x-coordinate because the values of x increased by 1 for each ordered pair but the value of y is not increasing in the same proportion..

The ordered pairs of table B are (-1,-3), (0,0), (1,3) and (2,6). The value of y increasing at a constant rate 3 and the value of y-coordinate is 3 times of x-coordinate.

Choose any two ordered pairs of table B. Let the two points are (0,0) and (1,3).

The proportional relationship is defined as

y = 3x

Therefore, 3 is the constant of variation and rate of change.

So, Table B shows a proportional relationship.

Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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The 80th percentile is 125.37.

It is required to find the solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

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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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Answer:

\(\frac{25}{114}\) or 0.219

Step-by-step explanation:

No. of tankers drawn= 342

No. of tankers which didn't have spills= 267

No. of tankers which had spills= 342-267

                                                  = 75

Proportion of oil tankers that had spills= \(\frac{75}{342}\)

Proportion as fraction= \(\frac{25}{114}\)

Proportion as decimal= 0.219

Answer:

7,0

you add to get this answer to get another answer which is this answer

The width of the river, given the acute angle at point C and the distance from point C, the width of the river would be 132. 711 feet

In a right triangle, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The tangent of the angle ∠ACB can be used to find the length of BC :

tan ( ∠ ACB ) = BC / AC

tan ( 79 ° ) = BC / 100

BC = 100 x tan( 79 ° )

BC = 132. 711 feet

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The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

Answer:

what is the volume of the sphere? use a=3.14 and round your answer to the nearest hundredth. the sphere is 3 inches? V = 113.1

Step-by-step explanation:

V=4/3πr3=4/3·π·3*3≈113.09734

So your volume is = 113.1

The Matlab & Simulink model consists of a Clock block to generate a time signal, a Gain block to multiply the time signal by 2, and a Differential Equation block to solve the given differential equation. The Scope block is used to visualize the behavior of the variable x over time.

To construct a Matlab & Simulink model for the given mathematical model, we can use Simulink's Differential Equation block and a Clock and Gain block. Here's a step-by-step guide:

1. Open Simulink in Matlab.

2. Drag and drop a Clock block from the Simulink Library Browser into the model.

3. Drag and drop a Gain block from the Simulink Library Browser into the model.

4. Double-click on the Gain block and set the Gain value to 2.

5. Drag and drop a Differential Equation block from the Simulink Library Browser into the model.

6. Double-click on the Differential Equation block and enter the equation `d²x + 3 + 4*x + 6 = 5*cos(2*t)`.

7. Connect the output of the Clock block to the input of the Gain block, and the output of the Gain block to the input of the Differential Equation block.

8. Connect the output of the Differential Equation block to a Scope block from the Simulink Library Browser.

9. Run the simulation.

The Scope block will show the behavior of the value of x over time according to the given mathematical model.

In conclusion, The Clock block provides the independent variable t, and the Differential Equation block evaluates the given equation to compute the value of x. The simulation shows the dynamic response of x as influenced by the equation and the time signal.

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The even component is given by (x(t) + x(-t))/2, and the odd component is given by (x(t) - x(-t))/2. For the signal x(t) =\(e^{-2t}\)cos(t), the even component is \(e^{-2t}\)cos(t) and the odd component is -\(e^{-2t}\)sin(t).

To find the even and odd components of a signal, we use the properties of even and odd functions. An even function is symmetric about the y-axis, so if x(t) is even, then x(t) = x(-t). An odd function, on the other hand, is symmetric about the origin, so if x(t) is odd, then x(t) = -x(-t).

For the given signal x(t) = \(e^{-2t}\)cos(t), we can determine its even and odd components. Let's first find x(-t):

x(-t) = e^(-2(-t))cos(-t) = \(e^{-2t}\)cos(t)

Now we can calculate the even and odd components:

Even component: (x(t) + x(-t))/2 = (\(e^{-2t}\)cos(t) +\(e^{2t}\)cos(t))/2 = \(e^{-2t}\)cos(t)

Odd component: (x(t) - x(-t))/2 = (\(e^{-2t}\)cos(t) - \(e^{2t}\)cos(t))/2 = -\(e^{-2t}\)sin(t)

So, for the signal x(t) = \(e^{-2t}\)cos(t), the even component is \(e^{-2t}\)cos(t), and the odd component is -\(e^{-2t}\)sin(t).

Now, let's consider the signals in parts (a) and (b):

(a) x(t) = sin(3(2t))

To determine if this signal is periodic, we need to check if there exists a positive constant T such that x(t) = x(t + T) for all t. In this case, the signal is periodic with a fundamental period of T = 2π/3.

(b) x[n] = cos(2n)

For discrete-time signals, we can check for periodicity by determining if x[n] = x[n + N] for all n and some positive integer N. In this case, the signal x[n] is periodic with a fundamental period of N = 1.

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Answer:

part a is 8^2+w^2=10^2

part b w = 6

part c 24

In the given reaction between 10.0 mL of 0.200 M lead(II) nitrate solution and 8.0 mL of 0.225 M potassium chromate, it is not possible to determine the limiting reactant without additional information.

To determine the limiting reactant, we need to compare the stoichiometric ratio of the reactants. The balanced equation tells us that the molar ratio between Pb(NO3)2 and K2CrO4 is 1:1. However, without knowing the volume or concentration of either reactant, we cannot determine which one will be completely consumed first.

To calculate the limiting reactant, we would need to know the volume or concentration of at least one of the reactants. With that information, we could compare the number of moles of each reactant present and determine which one is present in a lesser amount, making it the limiting reactant.

Based on the given information, it is not possible to determine the limiting reactant in the reaction between 10.0 mL of 0.200 M Pb(NO3)2 and 8.0 mL of 0.225 M K2CrO4, as we do not have sufficient information about the volumes or concentrations of the reactants.

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For two vectors u and v, the magnitude and direction of the sum of vectors, u +v, are equal to the 1.75 and 35.14°.

The formula to determine the magnitude of a vector (in two dimensional space) v = (x, y) is \(|v| =\sqrt {(x² + y²)}\). We have two vectors say v and u.

Magnitude of vector u = 5

direction of vector u = 265°

Magnitude of vector v = 8

direction of vector v = 105°

\(\vec u = ( 5cos(265°), 5sin(265°)) \)

\(= (−0.436 , −4.981) \)

\(\vec v = ( 8cos(105°), 8sin(105°)) \)

\(= (−1.294 ,4.829 ) \)

We have to determine the magnitude and direction of the sum, \( \vec u + \vec v\). Vector addition means putting two or more vectors together. Two vectors, a and b, can be added together using vector addition, and the resultant vector can be written as : a + b.

\( \vec u + \vec v = (-0.436 + (-1.294), -4.981 +4.829) \)

\(= (- 1.730, -0.251) \)

Now, the magnitude of the sum of two vectors is \(| \vec u + \vec v | = \sqrt{ {(u + v)_x}^{2} + {(u+v)_y}^{2} } \)

\(= \sqrt{ 1.730² + 0.251²} \)

\(= 1.74811355466 \) ~ 1.75

Now, direction of vector which is sum of vectors : Let x be angle between componets of vector ( u + v) then direction is \(tan ( \theta) = \frac{-0.251}{-1.730} \)

\(\theta = tan^{-1}(0.1451)\)

= 35.14°

Hence, required value is 35.14°.

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In an isosceles triangle, the two https://brainly.com/question/28412104 form the two equal angles opposite those sides.

An isosceles triangle is a type of triangle that has two sides of equal length. The two congruent sides are referred to as the legs of the triangle, while the remaining side is known as the base. The key property of an isosceles triangle is that the angles opposite the congruent sides are also equal. This means that the triangle has two equal angles formed by the congruent sides and a third angle formed by the base.

To understand why the congruent sides form equal angles, consider the following: When two sides of a triangle are equal in length, it implies that the opposite angles they form are also equal. This is known as the Isosceles Triangle Theorem. In an isosceles triangle, the two congruent sides are equal in length, which means the angles opposite those sides must also be equal. Therefore, the two congruent sides of an isosceles triangle form the two equal angles opposite them.

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Answer:

The kilograms of chocolate for the 40% fat content (1st chocolate) = 90kg

The kilograms of chocolate for the 50% fat content (2nd chocolate) = 10kg

Step-by-step explanation:

A candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Let us represent

Kilograms of first chocolate = x

Kilograms of second chocolate = y

A candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate.

Hence:

40% × x + 50% × y = 41% × 100

0.40x + 0.50y = 0.41× 100

0.40x + 0.50y = 41.......Equation 1

x + y = 100kg ......Equation 2

x = 100 - y

Substitute 100 - y for x

0.40(100 - y) + 0.50y = 41

40 - 0.40y + 0.50y = 41

Collect like terms

- 0.40y + 0.50y = 41 - 40

0.10y = 1

y = 1/0.1

y = 10.

Therefore, the kilograms of chocolate for the 50% fat content (2nd chocolate) = 10kg

Remember:

x = 100 - y

x = 100kg - 10kg

x = 90kg

The kilograms of chocolate for the 40% fat content (1st chocolate) = 90kg

Answer:

(6)⁷/(6)⁵ = 6²

Step-by-step explanation:

Given problem,

→ (6)⁷/(6)⁵

Let's solve the problem,

→ (6)⁷/(6)⁵

→ 279936/7776

→ 36 = 6²

Thus, the answer is 6².

Answer:

I would recommend them to go out with their family and spend it because i feel that people always dream about ways to bring their family close again so that can be a good way to bond and do things that often cost a lot of money.

Step-by-step explanation:

Thelma's marginal product of tacos is more than the marginal product of margaritas, she should spend more time producing tacos than margaritas. Louise's situation can also be analyzed in a similar manner.

Thelma and Louise each have 10 hours a day to make either tacos or margaritas. It takes Thelma five hours to make one taco and one hour to make one margarita.

Thelma's marginal product is measured by calculating the increase in output as a result of one additional unit of input. Thelma's marginal product is calculated using the formula below:

Marginal Product of Thelma = ΔTotal Output/ΔTotal Input

For Thelma, the marginal product of tacos is calculated as:

Marginal Product of Tacos = ΔTotal Tacos Produced/ΔTotal Labor Hours

For Thelma, the marginal product of margaritas is calculated as:Marginal Product of Margaritas = ΔTotal Margaritas Produced/ΔTotal Labor Hours

Since Thelma takes 5 hours to make a taco and 1 hour to make a margarita, we can construct the table below:

Since Thelma's marginal product of tacos is more than the marginal product of margaritas, she should spend more time producing tacos than margaritas. Louise's situation can also be analyzed in a similar manner.

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The corresponding z-score for the value x = 32.84 is approximately 3.8. The positive value of the z-score indicates that the value 32.84 is located above the mean. Since the z-score measures the number of standard deviations, a z-score of 3.8 indicates that the value is approximately 3.8 standard deviations above the mean.

The corresponding z-score for the value x = 32.84, given that X follows a normal distribution with mean μ = 19.92 and standard deviation σ = 3.4, can be calculated using the formula z = (x - μ) / σ.

To find the z-score, we first need to calculate the standard deviation of the distribution, which is given as 3.4. The z-score measures the number of standard deviations a value is from the mean. It indicates how many standard deviations the value x = 32.84 is above or below the mean.

Using the formula z = (x - μ) / σ, we can substitute the values:

z = (32.84 - 19.92) / 3.4

 = 12.92 / 3.4

 ≈ 3.8

Therefore, the corresponding z-score for the value x = 32.84 is approximately 3.8.

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Answer: D and E

Step-by-step explanation:

It is not an integer because it is represented by a fraction it is not an irrational number because it can be represented by the decimal 0.75. It is not a whole number because it is a fraction. It is rational because the decimal numbers do not go on forever and it is not an imaginary number so it is a real number.

Answer:

She deposits $17.00 each week

Step-by-step explanation:

You multiply 85 times 0.2 which gives you 17.

The net sales to be reported over the two months is $31,139.

Given information:

Goods Cost: $111

Sales: $31,139

1. Calculate Net Sales after Sales Discounts:

Let's assume the sales discount is a percentage of the sales amount. If the discount rate is given, please provide it so that I can incorporate it into the calculation. For now, I'll proceed with the assumption that there is no sales discount.

Net Sales after Sales Discounts = Gross Sales - Sales Discounts

= $31,139 - $0 (Assuming no sales discount)

= $31,139

2. Calculate Net Sales after Sales Returns:

Let's assume the sales returns are a percentage of the gross sales. If the sales return rate is given, please provide it so that I can incorporate it into the calculation. For now, I'll proceed with the assumption that there are no sales returns.

Net Sales after Sales Returns = Gross Sales - Sales Returns

= $31,139 - $0 (Assuming no sales returns)

= $31,139

Therefore, the net sales to be reported over the two months is $31,139.

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