Please help!! Find the equation of variation given that y varies directly with x and y is 25 when x is 5

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

The distance between the man and the starting point will be 13.08 km.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angles of right-angle triangles.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that a man walks due west for 4km. He then changes direction and walks on a bearing of 197°.

The distance will be calculated as,

tanΘ = P/B

tan(73) = y / 4

y = 4tan73

y = 13.08 km

Therefore, the distance between the man and the starting point will be 13.08 km.

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Answer:

64,000,000

Step-by-step explanation:

To find out how many combinations there are, you first must do an equation of multiplying these numbers.

20×20×20×20×20×20

Reason being: There are six different number combinations that all are between 1 and 20, so you must multiply all of these numbers.

If you multiply them all together, you would get 64,000,000 different combinations.

Hope it helped!

Answer:

p = 6; RPQ = 60 degrees

Step-by-step explanation:

Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.

5p + 30 = 60

5p = 30

p = 6

So now you have determined that p = 6, and the measure of RPQ is 60 degrees.

Hope this helped!

Answer:

p = 6; RPQ = 60 degrees

Step-by-step explanation:

Answer:

a. $13

b. $3

Step-by-step explanation:

Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and earn money. His mother agrees to loan him $10. He makes a list of the items he wants to buy.

Cups $2

Lemons $8

Sugar $3

a. How much money do the supplies cost?

b. How much money does he have to spend?

a. Cost of each supply;

Cups $2

Lemons $8

Sugar $3

Total cost of the supplies = $2 + $8 + $3

= $13

b. How much money does he have to spend?

His mother agreed to loan him $10

Total cost of supplies = $13

Amount of money he has to spend = Total cost of supplies - Loan from his mother

= $13 - $10

= $3

Answer:

How much money do the supplies? Answer: $13

How much money does he have to spend? Answer: $10

Step-by-step explanation:

I did it on edge 2021 & got it correct!

Hopefully this helps :)

bye <3

Answer:

$420,000,000

Step-by-step explanation:

Multiply 10,500,000,000 by .04.

Hope this helps!

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Option A, The image above, according to math central Luz, is a Venn diagram. A major in art, her brother, interprets it as two circles. One instance of synesthesia is the discrepancy in perception.

A Venn diagram is a type of visual representation that uses circles to emphasize the relationships among certain items or constrained groups of things. Rings with overlaps have several properties that circles without overlaps do not. Venn diagrams are helpful for visually illustrating the relationship and differences between two concepts.

A Venn diagram uses circles or other overlapping shapes to illustrate the relationships between three or more organizations of things. They usually serve to visually organize items while emphasizing their similarities and differences.

A triple Venn diagram is a helpful visual tool highlighting the similarities and differences between three sets of objects or statistics.

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We need to find the inverse of the function f(x) = 1/x. Therefore, h'(3) = -1/\(3^2\) = -1/9. So, h'(3) = -1/9.

In the equation expressing the function, swap out f(x) with y. Swap out x and y. To put it another way, swap out every x for a y and vice versa.

An inverse in mathematics is a function that is used to another function.

Calculate y using a solution.

To find the inverse, we switch the x and y variables and solve for y:

x = 1/y

y = 1/x

So the inverse function of f(x) = 1/x is h(x) = 1/x.

Now, we need to find h'(3), the derivative of h(x) at x = 3.

h(x) = 1/x, so using the power rule of differentiation, we get:

h'(x) = -1/\(x^2\)

Therefore, h'(3) = -\(1/3^2\) = -1/9.

So, h'(3) = -1/9.

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Correct Question:

If h is the inverse function of f and if f(x) = 1/x, then h'(3) =

The given information describes a quadratic function, which is a mathematical equation of the form f(x) = ax2 + bx + c. The worst case scenario for the company is that they produce 28 items, as this will give them a profit of 0 dollars. This means that the company will make a maximum profit of -40 dollars if they produce 28 items.

A quadratic function is an equation of the form Ax² + Bx + C = 0, where A, B and C are constants and A ≠ 0. This equation is also known as a quadratic equation or a second-degree polynomial equation.

The roots of this function are the x-values at which the function intersects with the x-axis. In this case, the roots of the function are x = 0 and 28, which means that the function intersects the x-axis at x = 0 and x = 28. This tells us that there is a minimum profit margin when the company produces 0 items and when the company produces 28 items.

The vertex of the quadratic function is the point at which the function reaches its maximum or minimum value. In this case, the vertex is a minimum at (14,-40), which tells us that the company has a minimum profit margin of -40 dollars when they produce 14 items. This means that the company actually loses money on their first few products as it costs them more to make them, but once they hit 14 items they break even again.

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Answer:

square root of (2+10)²+(-5+3)²

square root of 144+4

square root of 148

Answer:

The equation will be "\(y=-2.8 x+75\)".

Step-by-step explanation:

The given values are:

Started with,

= 75 gallons

After 15 hrs,

Tank has,

= 33 gallons

Now,

The slope will be:

=  \(\frac{33-75}{15}\)

=  \(\frac{-42}{15}\)

=  \(-2.8\)

Thus,

The equation is "\(y=-2.5x+75\)".

The equation which shows the commutative property of addition is (A) 4+3=3+4.

So,

The commutative property for addition states that, a + b = b + a .

Where a, b is any number.

The above condition is satisfied by the equation

Therefore, the equation which shows the commutative property of addition is (A) 4+3=3+4.

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The correct question is given below:

Which equation shows the commutative property of addition?

A. 4+3=3+4

B. 1(3)=3

C. (2+7)+12=2+(7+12)

D. 4+0=4

The area of the piece of land is 849 ft².

The area of the piece of land

=22 x 30 x \(\frac{1}{2}\) x 2 + (30-12) x 21 x \(\frac{1}{2}\)

=660 + 18 × 21×\(\frac{1}{2}\)

=660 + 189

=849 ft²

The area is the amount that expresses the volume of a place on the plane or on a curved surface. The location of an aircraft region or aircraft place refers back to the area of a shape or planar lamina, at the same time as floor region refers to the location of an open floor or the boundary of a three-dimensional object. the area may be understood as the amount of fabric with a given thickness that could be essential to style a model of the shape, or the amount of paint vital to cowl the surface with a single coat. it's miles the 2-dimensional analog of the length of a curve (a one-dimensional concept) or the extent of a strong (a three-dimensional concept).

The place of a shape can be measured by way of evaluating the form to squares of a hard and fast size. inside the global gadget of devices (SI), the usual unit of the vicinity is the rectangular meter (written as m²), that's the location of a rectangle whose sides are one meter long. A shape with a place of three rectangular meters would have the equal region as 3 such squares. In mathematics, the unit square is described to have placed one, and the location of another shape or floor is a dimensionless real variety.

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Answer:

∡3 = 48°

Step-by-step explanation:

∡ 3 = (180-132)° = 48°

Hope this helps.

Answer:

48°

Step-by-step explanation:

The given angles are supplementary angles which means their sum is equal to 180°.

Then we can find the value of ∠3 with the following equation:

132° + ∠3 = 180°

∠3 = 48°

The given equation is solved to x as x=(58-b)/a.

The given equation is ax+b=58.

We need to solve the given equation for x.

What is an equation?

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

Now, the equation ax+b=58 can be solved as follows:

Given equation:

ax+b=58

Now,

ax= 58-b

x=(58-b)/a

That is, x=(58-b)/a (when you bring a variable from LHS to RHS or vice versa the mathematical operations become inverse that is multiplication changes to division)

Therefore, the given equation is solved to x as x=(58-b)/a.

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Answer:

Yes, I learned that like 1 week ago :D

Step-by-step explanation:

The cost of polishing the floor of the square hall is ₹2343.75

The Side of Square Hall = 12.5 m

The cost of polishing the floor per meter sq. = ₹ 15

We have to find the cost of polishing the floor.

First we will calculate the area of floor of the square hall.

Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units, with the standard unit being square meters (\(m^{2}\)).

Area of square=\((12.5)^2\)

Area of square =\(12.5 \times 12.5\)

Area of square =156.25

The area of the floor of Square Hall is 156.25 \(\mathrm{~m}^2$\)

Per square meter cost of polishing the floor is ₹15,

To find the cost of polishing the floor of the square hall of area 156.25 sq. m, simply multiply 15 by the area of the floor of the square hall.

Therefore, the cost of polishing,

=15×156025

=2343.75

Therefore, the cost of polishing is ₹2343.75.

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Find the cost of polishing the floor of a square hall at the rate of 15 per meter sq, if each side of the hall is 12.5 m.​

Answer:

The mode and Median would be lower than the mean.

Step-by-step explanation:

The distribution data is positively skewed which means that most of the data would be towards the lower side. In this situation the mean is higher than the mode and median. Dr. Hammer has distribution data which is positively skewed so the mode and median will be lower than the mean.

By examining the patterns and variations in the two-way relative frequency table, we can determine whether the data collected indicate an independent or dependent relationship between student gender and the source of car insurance payment.

To design and conduct a survey of students at your school, follow these steps:

1. Begin by creating a survey questionnaire that includes questions about student gender and whether a student's car insurance is paid by the student or the student's parent(s).

2. Distribute the survey to a representative sample of students at your school. It's important to ensure that the sample is diverse and includes students from different grades and backgrounds.

3. Collect the responses from the survey and organize the data in a two-way relative frequency table. The rows of the table should represent the different options for student gender (e.g., male and female), and the columns should represent the options for car insurance payment (e.g., paid by the student, paid by the parent(s)).

4. Count the number of responses in each cell of the table. This will give you the frequencies for each combination of gender and car insurance payment.

5. To determine whether there is an independent relationship between the two variables, compare the relative frequencies of each combination. If the relative frequencies are similar across all cells of the table, it suggests that there is no significant relationship between student gender and car insurance payment. On the other hand, if there are substantial differences in the relative frequencies, it indicates that there might be a relationship between the variables.

6. In your explanation, provide specific examples from your table to support your reasoning. For instance, if the relative frequency of male students paying for their car insurance is significantly higher than the relative frequency of female students paying for their car insurance, you could argue that there might be a gender-based difference in car insurance payment responsibilities.

Remember, conducting a survey and analyzing the data requires careful planning and attention to detail.

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Answer:

15/4 or 3.75.

Step-by-step explanation:

Multiply the numbers as you would in regular math to get 3x5=15. leaving you with 15/4.

The number of workers in the company is given as follows:

3900 workers.

The number of workers in the company is obtained applying the proportions in the context of the problem.

From the problem, we have that:

Hence 30% of the workers is equivalent to 1170, hence the number of workers in the company is obtained as follows:

0.3x = 1170

x = 1170/0.3

x = 3900 workers.

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x = 1 , y = -3 , z = -6

Step-by-step explanation:

Solution file attached

The metric unit from pounds to tons is 250 pounds = 0.125 tons

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

250 pounds = how many tons

As a general rule, we have

1 pound = 0.0005 tons

Multiply both sides of the equation by 250

So, we have

250 * 1 pound = 0.0005 tons * 250

Evaluate the products

250 pounds = 0.125 tons

Hence, the conversion is 250 pounds = 0.125 tons

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The required number line representation is attached

To solve this question we need to know the concept of number line :

Number lines are a horizontal straight lines in which the integers are placed in equal intervals all this numbers in a sequence can be represented in a number line . this line extends infinitely in both sides.

the numbers on the number line increases as one move right and decreases on moving from right to left . A number line can be used to depict both positive and negative integers. Writing numbers on a number line facilitates number comparison. The numbers on the left of the number line are smaller than the numbers on the right.

A number line can also be used to carry out addition , subtraction , multiplication and division . We move right to add move left to subtract and skip count to multiply .

The required number line is attached in the picture below :  

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Answer:

t = 10

Step-by-step explanation:

z^t ⋅ z^5 = z^15

We know that a^b*a^c = a^(b+c)

z^(t+5) = z^15

Since the bases are the same, the exponents are the same

t+5 = 15

t = 15-5

t = 10

The account will be worth approximately $81,679.97 when you retire in 45 years. (b) If you wait 10 years before making your contribution, the account will be worth approximately $33,517.78 when you retire in 45 years.

(a) The account will be worth approximately $81,679.97 when you retire in 45 years.

To calculate the future value of the account, we can use the compound interest formula. The formula is given by: FV = P(1 + r)^n, where FV is the future value, P is the initial contribution, r is the interest rate per period, and n is the number of periods.

Substituting the values into the formula, we have: FV = $3,000 * (1 + 0.09)^45 = $81,679.97.

Therefore, the account will be worth approximately $81,679.97 when you retire in 45 years.

(b) If you wait 10 years before making your contribution, the account will be worth approximately $33,517.78 when you retire in 45 years.

In this case, we need to calculate the future value of the $3,000 contribution after 35 years. Using the same formula, we have: FV = $3,000 * (1 + 0.09)^35 = $33,517.78.

Therefore, if you wait 10 years before making your contribution, the account will be worth approximately $33,517.78 when you retire in 45 years.

It's important to note that these calculations assume a consistent 9 percent rate of return and no additional contributions throughout the investment period.

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The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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Adding 5 points to each score in the introductory Statistics course would not impact the standard deviation of the new scores.

If 5 points were added to each score in the introductory Statistics course, the standard deviation of the new scores would remain unchanged. Adding a constant value to each score does not affect the spread or variability of the data. The standard deviation measures the dispersion of the data points around the mean, and adding or subtracting a constant does not change this dispersion. Thus, the standard deviation of the new scores would be the same as the standard deviation of the original scores.

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