I need help with this question very fast !!

Answer:

1. The wholesale cost of the bike is $93.75.

2. Andre will pay $100 before tax.

The system of inequalities of the given question is x>0, y>0 and 24x+8y=160

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

We are given that;

Price per hour for tutoring=$24

Price per hour for clearing tables=$8

Earning no less than $160

Work no more than in tutoring= 8hr

Maximum working for clearing table=5hr

Now,

x = number of hours tutoring y = number of hours landscaping

We cannot have negative values for either x and y, so xo and

x+y= total hours worked for both jobs combined

This total cannot exceed 11 hours

x+y≤11

Either x+y= 11 or x+y < 11

22x amount of money made from tutoring only = By amount of money made from landscaping only 22x+8y = total amount made from both jobs

24k+By 160 since he must make at least $160 Either 24x+8y = 160 or 24x+8y> 160

Therefore, the system of inequalities will be x>0,y>0,24x+8y=160

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Answer:

The value of l is 48. The formula to calculate volume (V) is V = l * w * h, so we can rearrange the equation to solve for l, or l = V/(w * h). In this case, l = 120/(5 * 4) = 48.

Answer:

125

Step-by-step explanation:

w

Answer:

Step-by-step explanation:

Part A:

To create the table, we substitute each of the given values of x into the equation and solve for y:

x y = -1025x + 30,750

0         30,750

5         25,375

8         21,050

10         18,725

30         -7,500

Part B:

The altitude after 5 minutes can be found by substituting x=5 into the equation:

y = -1025(5) + 30,750 = 25,375

The altitude after 30 minutes can be found by substituting x=30 into the equation:

y = -1025(30) + 30,750 = -7,500

After 5 minutes, the altitude of the airplane is 25,375 feet. After 30 minutes, the altitude of the airplane is -7,500 feet, which means the airplane is on the ground. This is because the altitude is decreasing by 1,025 feet every minute, and after 30 minutes, the altitude has decreased to 0 feet, which is the ground level.

Part C:

The ordered pair (0, 30,750) represents the initial value, where x=0. The initial value represents the altitude of the airplane before it started descending. In this problem, the initial value of 30,750 feet represents the altitude of the airplane when it was at cruising altitude.

Part D:

The rate of change in this equation is -1025. The rate of change represents the speed at which the altitude of the airplane is changing per minute. In this problem, the rate of change of -1025 feet per minute means that the altitude of the airplane is decreasing by 1025 feet every minute it descends.

The constant of proportionality of the equation y = 1 / 3 x is 1/3.

Proportional relationships are relationships between two variables where their ratios are equivalent.  In other words, proportional relationship is one in which two quantities vary directly with each other.

Therefore, proportional relationship can be represented as follows:

y ∝ x

y = kx

where

Therefore, the constant of proportionality of y = 1 / 3 x is 1 / 3

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Answer:

f-1(x)=x4+3 this is your answer

Answer:

Step-by-step explanation:

Let's assume that the amount invested at 10% is x, and the amount invested at 5% is (60000 - x), since the total investment is $60,000.

The interest earned on the 10% investment after one year would be 0.10x, and the interest earned on the 5% investment after one year would be 0.05(60000 - x).

We are given that the interest earned by the two accounts is equal, so we can set up an equation:

0.10x = 0.05(60000 - x)

Simplifying this equation, we get:

0.10x = 3000 - 0.05x

Adding 0.05x to both sides, we get:

0.15x = 3000

Dividing both sides by 0.15, we get:

x = 20000

Therefore, the amount invested at 10% is $20,000, and the amount invested at 5% is ($60,000 - $20,000) = $40,000.

To check that the interest earned is equal for both investments, we can calculate:

Interest earned on 10% investment = 0.10($20,000) = $2,000

Interest earned on 5% investment = 0.05($40,000) = $2,000

As expected, the interest earned on both investments is equal.

Check the picture below.

Answer:

Point Q

Step-by-step explanation:

Point Q corresponds to Point V, because if you turn the green triangle around, it matches almost exactly the same.

Answer:

translation point a cross the coordinator

Answer:

Step-by-step explanation:

The digit 3 in the number 4693 has a place value of 3 tens or 30. Therefore, the value of the number 3 in the number 4693 is 30.

The midpoint M of the given line segment with end points (−8,−11) and (2,5) is (-3,-3).

What is meant by the midpoint of a line segment?

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. The centre of a line segment is known as the midpoint. It is the centroid of the segment and of the endpoints, and it is equally distant from both of them. It cuts the section in half.

Given a line segment with endpoints A and B.

   A = (−8,−11) = (x₁ , y₁)

  B = (2,5) = (x₂, y₂)

W asked to find the midpoint. Let the midpoint be M.

M = ( (x₁ + x₂) /2  , (y₁ + y₂) / 2)

(x₁ + x₂) /2  =  (-8 + 2) /2 =  -  6/2 = -3

(y₁ + y₂) / 2 =  (-11 + 5) /2  = -6/2 = -3

Therefore the midpoint M of the given line segment with end points (−8,−11) and (2,5) is (-3,-3).

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Both Student A and Student B's representations of the expression 9/y³ⁿ are incorrect.

In mathematics, an expression is a combination of numbers, symbols, and/or variables that are arranged in a meaningful way. An expression can represent a value, a quantity, a function, or some other mathematical object. Expressions can be made up of one or more terms. A term is a group of numbers, symbols, and/or variables that are separated by a plus or minus sign. Expressions can also include mathematical operations, such as addition, subtraction, multiplication, and division, as well as exponents and parentheses. Expressions are used in various areas of mathematics, including algebra, calculus, and statistics, to represent mathematical relationships and to solve problems.

Here,

Student A represents the expression as the product of 9 and y times the product of 3 and t, which can be written as: 9 * y * 3 * t = 27yt.

This representation is incorrect because it does not include the exponent 3 in the denominator. The correct representation of the expression is: 9 / y^3t.

Student B represents the expression as the quotient of 9 and y times the sum of 3 and t, which can be written as: 9 / y * (3 + t) = (27 + 9t) / y.

This representation is also incorrect because it incorrectly combines the sum of 3 and t in the denominator. The correct representation of the expression is: 9 / y^3t.

To represent the expression correctly, we need to include the exponent 3 in the denominator, indicating that y is being raised to the power of 3, and include t as a separate factor in the denominator. Therefore, the correct representation of the expression is: 9 / (y^3 * t).

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Answer:

Student A says prodact of Tandy, but 9 is 9 y so it's quotient.

Step-by-step explanation:

The monthly cost for 39 minutes of calls is $15.34.

We can use the two given data points to form two equations and then solve for the unknown coefficients of the linear function.

Let the monthly cost (in dollars) be denoted by C, and let the total calling time (in minutes) be denoted by T. Then we can write:

C = aT + b

where a is the slope of the line (representing the rate of change of cost per minute of calling time), and b is the y-intercept of the line (representing the fixed monthly cost).

Using the given data points (34, 14.69) and (57, 17.68), we can form the following two equations:

14.69 = 34a + b (equation 1)

17.68 = 57a + b (equation 2)

Subtracting equation 1 from equation 2, we get:

17.68 - 14.69 = 57a - 34a + b - b

2.99 = 23a

a = 2.99/23

a = 0.13 (rounded to two decimal places)

Substituting the value of a into equation 1 (or 2), we get:

14.69 = 34(0.13) + b

b = 14.69 - 4.42

b = 10.27

Therefore, the linear function that represents the monthly cost in terms of total calling time is:

C = 0.13T + 10.27

To find the monthly cost for 39 minutes of calls, we can substitute T = 39 into this function:

C = 0.13(39) + 10.27

C = 5.07 + 10.27

C = $15.34 (rounded to two decimal places)

Therefore, the monthly cost for 39 minutes of calls is $15.34.

The cost price (CP) is the original price paid to purchase a product or asset. It is the total cost incurred to acquire or produce the item, including all direct and indirect costs such as the cost of raw materials, labor, overhead expenses, transportation, taxes, etc.

The cost price is an important factor in determining the profitability of a business or investment, as it directly affects the profit margin. The profit margin is the difference between the selling price (SP) and the cost price (CP), expressed as a percentage of the cost price.

Profit Margin = (SP - CP) / CP * 100%

For example, if a product is sold for $100 and the cost price is $70, then the profit margin is:

Profit Margin = ($100 - $70) / $70 * 100%

Profit Margin = 30%

This means that for every $1 of cost, the business makes a profit of $0.30. The profit margin can be used to evaluate the efficiency and competitiveness of a business, and to compare the profitability of different products or investments.

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Answer:

C

Step-by-step explanation:

The value of the expression is -3/2, So correct option is A.

In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.

The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.

Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.

A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.

An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.

A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.

Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.

We can start by simplifying the expression inside the absolute value bars:

|1/6 - 3/4| = |(2/12) - (9/12)| = |-(7/12)| = 7/12

Now we can substitute this back into the original expression and simplify:

(7/4 - 8/3) - |1/6 - 3/4|

= (21/12 - 32/12) - 7/12 (converting fractions to have a common denominator)

= -11/12 - 7/12

= -18/12

= -3/2

Therefore, the value of the expression is -3/2.

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Answer:

What is Fraction ?

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'.

A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.

An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.

A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.

Fractions are used in cooking, measuring, and financial calculations.

We can start by simplifying the expression inside the absolute value bars:

|1/6 - 3/4| = |(2/12) - (9/12)| = |-(7/12)| = 7/12

Now we can substitute

(7/4 - 8/3) - |1/6 - 3/4|

= (21/12 - 32/12) - 7/12 (converting fractions to have a common denominator)

= -11/12 - 7/12

= -18/12

= -3/2

Therefore, the value of the expression is -3/2.

The solution to  to log subscript 2 baseline (2 x cubed minus 8) minus 2 log subscript 2 baseline xx = 1x = 2x = 3x = 4 is 2 log₂ (x³ - 8) - 2 log₂ x = -2.

A logarithm expression is an expression in which the unknown value is expressed as the power to which a base number must be raised to produce a given number. For example, the equation log₂ 8 = 3 can be expressed as 2³ = 8.

A logarithm function is a type of mathematical function that calculates the logarithm of a given number. Logarithm functions are commonly used in mathematics, engineering, and science to simplify calculations. Logarithm functions can also be used to convert between different units of measurement.

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The probability mass function for the random variable would be 0.38742049.

In probability and statistics, a probability mass function is a function that gives the probability that a discrete random variable is exactly equal to some value.

Probability mass function is the probability distribution of a discrete random variable, and provides the possible values and their associated probabilities. It is the function [tex]{\displaystyle p:\mathbb {R} \to [0,1]}[/tex] defined by -

[tex]${\displaystyle p_{X}(x)=P(X=x)}[/tex].

Given is that the probability of corrosion is 0.1 under specific values of half-cell potential and concrete resistivity. the risk of corrosion in five independent grids of a building with these values of half-cell potential and concrete resistivity is investigated now.

We can write the

[tex]$f(x;n,p) = \frac{n!}{x!(n-x)!}\; p^{x} \;(1-p)^{n-x}[/tex]

where -

{x} = number of successes

{n} = number of trials

{p} = probability of a successful outcome

Substituting the values, we get -

[tex]$f(1;10,0.1) = \frac{10!}{1!(10-1)!}\; (0.1)^{x} \;(1-0.1)^{10-1}[/tex]

[tex]$f(1;10,0.1) = 0.38742049[/tex]

Therefore, the probability mass function for the random variable would be 0.38742049.

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The area of the Trepezium will be 60 feet².

What is a trepezium, exactly?

Trapezoids have two parallel sides and two oblique sides. It is also known as a Trapezium. A trapezoid is a four-sided closed shape or figure having a space-filling perimeter. It is a 2D figurine, not a 3D figure. The bases of a trapezoid are the sides that are parallel to one another. Legs, also known as lateral sides, are non-parallel sides. Its height is determined by the distance between its parallel sides.

Area of a trepezium=1/2*(a+b)*h

where h=height or distance between two parallel lines

a and b are two parallel lines.

Now,

Given that a=14 feet, b=10 feet and h=5 feet

then area=1/2*(10+14)*5

=24/2*5

=12*5

=60 ft²

hence,

              The area of the Trepezium will be 60 feet².

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Answer: The side of the square is 20 miles

Step-by-step explanation:

Since the area of square= side *side

given, area =400 square miles

400 = side *side

400= side²

√400=side

20 miles=side

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Answer:

  10x -25

Step-by-step explanation:

You want to simplify the expression ...

  3x+6+x-2+8(x-3)+-4-4+x+1+-2(x+2)+6+7x+-8x

First, we use the distributive property to eliminate parentheses:

  3x+6+x-2+8x-24+-4-4+x+1+-2x-4+6+7x+-8x

Now, we group x-terms and constant terms:

  (3 +1 +8 +1 -2 +7 -8)x +(6 -2 -24 -4 -4 +1 -4 +6)

Finally, we perform the sums:

  10x -25

__

Additional comment

This sort of problem can be described as "tedious, but not difficult."

The area under the curve of the standard normal​ distribution is 98.61% of the area between equals negative 2. 2 and zequals2. 2

The area under the curve of a standard normal distribution between z = -2.2 and z = 2.2 is given by the integral of the normal distribution function from -2.2 to 2.2. This can be calculated using a table of standard normal probabilities or using a calculator with a normal distribution function.

The result is approximately 0.9861. To convert this to a percentage, simply multiply by 100: 0.9861 * 100 = 98.61%. Therefore, about 98.61% of the area is between z = -2.2 and z = 2.2 (or within 2.2 standard deviations of the mean).

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. It is also known as the z-distribution or the unit normal distribution. It is often used in statistical tests, such as the z-test, t-test, and chi-square test. It is also used to determine confidence intervals, to calculate probabilities, and to measure the probability of a given event.

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Answer:

Add 1 to both sides. Add 11 and 1 to get 12. Divide both sides by 4. Divide 12 by 4 to get 3.

Answer:

Area = 78.54 sq. ft.  (25π)

Circumference = 31.42 ft.  (10π)

Step-by-step explanation:

Diameter of circle d = 10 ft
Radius r = Diameter/2 = 5

Area = πr² = π x 5² = π x 25 = 78.54 sq. ft. rounded to 2 decimal places

Circumference = πd = π x 10 = 31.42 ft. rounded to 2 decimal places.

Answer:

Step-by-step explanation:

To find the image of each point under the dilation, we need to apply the scale factor of 3 to the distances between the point and the center, and then add the coordinates of the center to get the new coordinates.

The center of dilation is (2,1), so we subtract 2 from the x-coordinates and 1 from the y-coordinates to get the distances from the center to each point:

X: (-3 - 2, 2 - 1) = (-5, 1)

Y: (0 - 2, 0 - 1) = (-2, -1)

Z: (2 - 2, 1 - 1) = (0, 0)

Next, we apply the scale factor of 3 to each distance:

X': (-5 × 3, 1 × 3) = (-15, 3)

Y': (-2 × 3, -1 × 3) = (-6, -3)

Z': (0 × 3, 0 × 3) = (0, 0)

Finally, we add the coordinates of the center (2,1) to each image:

X': (-15 + 2, 3 + 1) = (-13, 4)

Y': (-6 + 2, -3 + 1) = (-4, -2)

Z': (0 + 2, 0 + 1) = (2, 1)

Therefore, the coordinates of the image triangle X'Y'Z' are:

X' = (-13, 4)

Y' = (-4, -2)

Z' = (2, 1)

The required solution for the hypothesis testing is shown.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here, we have,

Part A:

The null hypothesis (H0) is that the company's claim is true, and the proportion of defective batteries is 5% or less.

The alternative hypothesis (Ha) is that the company's claim is false, and the proportion of defective batteries is greater than 5%.

H0: p ≤ 0.05

Ha: p > 0.05

where p represents the proportion of defective batteries.

Part B:

A Type I error in this context would be rejecting the null hypothesis (i.e., finding significant evidence that the proportion of defective batteries is greater than 5%) when it is actually true (i.e., the proportion of defective batteries is 5% or less). This would be a false positive result.

A Type II error would be failing to reject the null hypothesis (i.e., not finding significant evidence that the proportion of defective batteries is greater than 5%) when it is actually false (i.e., the proportion of defective batteries is greater than 5%). This would be a false negative result.

Part C:

If the hypothesis is tested at a 5% level of significance instead of 1%, this means that the criteria for rejecting the null hypothesis will be less stringent. In other words, it will be easier to find significant evidence that the company's claim is false. Therefore, increasing the level of significance from 1% to 5% will increase the power of the test.

Part D:

If the hypothesis is tested based on the sampling of 500 boxes of batteries rather than 100 boxes of batteries, this means that the sample size is larger. As a result, the standard error of the estimate will be smaller, and the test will be more precise. This increased precision will increase the power of the test.

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Using trigonometric ratio, the value of tan V is √7 / 8

To find the value of tan V, we have to use trigonometric ratio.

In the triangle, we have the opposite side and the hypothenuse. We can find the adjacent side using Pythagoras theorem.

Substituting the values into the formula;

w² = v² + x²

(√71)² = (√7)² + x²

71 = 7 + x²

x² = 71 - 7

x² = 64

x = √64

x = 8

The value of tan V;

tan V = opposite /adjacent

tan V = √7 / 8

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The original salary was approximately $45,180.72.

Prior to a percentage increase or decrease, one must ascertain the beginning value of an amount: The amount must be represented as a percentage of the initial sum. Determine one percent of the starting sum. The original value may be obtained by multiplying by 100 because 100% is the original sum.

We can use algebra to resolve this issue. Let x represent the starting wage.

The issue states that following a 66% raise, the new compensation is $75,000 Mathematically, this can be expressed as:

x + 0.66x = 75000

By merging similar phrases to simplify the left side, we obtain:

1.66x = 75000

Finally, by multiplying both sides by 1.66, we can find the value of x:

x = 75000/1.66

x ≈ 45,180.72

Hence, the initial wage was roughly $45,180.72.

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