find find the slope and Y intercept of Y= 10x - 1/3​

Answer:

False

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Have a good day :-)

To find the present value of $600 due in the future under each of the given conditions, we can use the formula for compound interest:

PV = FV / (1 + r/n)^(n*t)

Where:
PV = Present Value
FV = Future Value
r = Nominal interest rate
n = Number of compounding periods per year
t = Number of years

a. For a 9% nominal rate, semiannual compounding, and discounted back 9 years:
PV = 600 / (1 + 0.09/2)^(2*9)
  = 600 / (1 + 0.045)^(18)
  = 600 / (1.045)^(18)
  ≈ $275.55

b. For a 9% nominal rate, quarterly compounding, and discounted back 9 years:
PV = 600 / (1 + 0.09/4)^(4*9)
  = 600 / (1 + 0.0225)^(36)
  = 600 / (1.0225)^(36)
  ≈ $275.33

c. For a 9% nominal rate, monthly compounding, and discounted back 1 year:
PV = 600 / (1 + 0.09/12)^(12*1)
  = 600 / (1 + 0.0075)^(12)
  = 600 / (1.0075)^(12)
  ≈ $564.64

Please note that the values are rounded to the nearest cent as per the instructions.

Compound interest is a concept in finance and mathematics that refers to the interest earned or charged on both the initial amount of money (principal) and any accumulated interest from previous periods. It is a powerful concept that allows investments or loans to grow or accumulate faster over time.

The formula for compound interest can be expressed as:

A = P * (1 + r/n)^(nt)

Where:

A represents the future value or accumulated amount, including both the principal and interest.

P is the principal amount (initial investment or loan).

r is the annual interest rate (expressed as a decimal).

n is the number of compounding periods per year.

t is the number of years.

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Answer:

The value of -18x + 30y is -27

Step-by-step explanation:

Algebraic Expressions

It's given that:

6x - 10y = 9

We are required to find the value of

-18x + 30y

The easiest way to solve the problem is to visualize that:

-18x = -3(6x)

30y = -3(-10y)

This means that the second expression is equal to the first expression multiplied by -3, thus:

-18x + 30y = -3(6x - 10y) = -3*9 = -27

The value of -18x + 30y is -27

Consecutive congruent sides refer to adjacent sides in a geometric shape that have equal lengths, creating a pattern of repetition within the shape.

consecutive congruent sides indicate that there are two sides of a shape that are next to each other and have equal lengths. This means that the lengths of these sides are identical, creating a pattern of repetition within the shape.

let's consider a triangle as an example. If a triangle has consecutive congruent sides, it means that two sides of the triangle that are next to each other have the same length. This creates a situation where the triangle has two equal-length sides that are adjacent to each other, while the remaining side can have a different length. Similarly, in other polygons or shapes, consecutive congruent sides follow the same principle of adjacent sides having the same length.

Overall, consecutive congruent sides highlight a pattern of equality and repetition in the lengths of adjacent sides within a geometric shape

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Answer:

Step-by-step explanation:

-36-42x^2

-42x^2-36

If you factor it is -6(7x^2+6)

Part of the question is cut off, so I assumed factoring. If didn't please let me know and I can rework it.

Answer:

the answer is -2 ( 21 with the 2 at the top + 16)

Step-by-step explanation:

−

2

out of  

−

2

(

21

x

2

)

−

2

(

16

)

.

−

2

(

21

x

2

+

16

)

Answer:

The length of the base will be: 17 m

Step-by-step explanation:

Given the area of the triangle

\(A=102\:m^2\)

Using the formula of Area of a triangle:

\(A=\frac{1}{2}\left(b\times h\right)\)

Here,

As the base of a triangle is 7 less than twice its height.

so

\(b=2h-7\)

so the formula of Area of a triangle becomes

\(102=\frac{1}{2}\left(\left(2h-7\right)\times \:h\right)\)

\(204=h\left(2h-7\right)\)

\(2h^2-7h=204\)

\(2h^2-7h-204=0\)

\(\left(2h+17\right)\left(h-12\right)=0\)

\(2h+17=0\quad \mathrm{or}\quad \:h-12=0\)

\(h=-\frac{17}{2},\:h=12\)

As height can not be negative, so:

\(h=12\) m

Hence, the length of the base:

\(b=2h-7\)

   \(= 2(12)-7\)

    \(=24-7\)

     \(= 17\) m

Therefore, the length of the base will be: 17 m

Answer:

D) 13x + 5

Step-by-step explanation:

Combine like terms

Here, 6x and 7x are like terms

5 + 6x + 7x = 5 + 13x

                  =13x + 5

A D. simple random sample is a sample in which every member of the population has an equal chance of being chosen.

A. Systematic: In a systematic sample, the population is first ordered or arranged in some systematic way, such as by alphabetical order or numerical sequence. Then, a starting point is randomly selected, and subsequent members are chosen at regular intervals from the ordered list. This method ensures that every member of the population has an equal chance of being selected.

B. Probability: The term "probability sample" is a general concept that encompasses various sampling methods. It refers to any sample in which each member of the population has a known nonzero probability of being selected. Probability sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling.

C. Stratified: In stratified sampling, the population is divided into distinct subgroups or strata based on specific characteristics or attributes. Then, a random sample is taken from each stratum in proportion to its representation in the overall population. This method ensures that the sample is representative of the population across different subgroups or strata.

D. Simple random: A simple random sample is a sampling method where each member of the population has an equal and independent chance of being selected. It involves selecting individuals randomly and without any specific pattern or grouping. This method ensures that each member of the population has an equal probability of being chosen, leading to unbiased estimates and generalizability to the larger population.

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As X and Y are two numerical variables. Because they are independent so there is no relationship between the two variables other than the linear relationship described by the regression equation. The correct answer is B. III only, that is  X and Yare independent.

When performing a regression analysis involving two numerical variables, we assume that X and Y are independent, meaning that the value of one variable does not depend on the value of the other variable. However, we do not assume that the variances of X and Y are equal or that the variation around the line of regression is the same for each X value. These assumptions are not necessary for performing a regression analysis. Violation of this assumption can lead to spurious results and incorrect inferences. So, the correct option in  B. III only.

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When x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

Given function:

f(x) = 2x + 8

when x = -2

f(-2) = 2(-2) + 8

= -4 + 8

f(-2) = 4

when x = 0

f(0) = 2(0) + 8

= 8

f(0) = 8

when x = 5

f(5) = 2(5) + 8

= 10 + 8

f(5) = 18

Therefore when x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

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We need to use the concept of Plotting of Graphs.

A.(2018,62) and (2022,74) are the given points.

B. Slope=3

C. Height of Deshaun will increase 3 inches per year.

You must comprehend how the coordinate plane is organized and be aware of what to do with those (x, y) coordinates in order to graph points on the coordinate plane. Simply follow these instructions to learn how to graph points on the coordinate plane. You will graph a point in (x, y) form when you are graphing it on the coordinate plane. What you must understand is as follows:

The second coordinate is on the y-axis, while the x-axis runs left to right.

The y-axis is oriented vertically.

Positive numbers increase or move right (depending on the axis). Negative numbers move to the left or down.

Slope of a line segment=y2-y1/x2-x1 where (x1,y1) and (x2,y2) are the given points.

2018, Deshaun was 62 inches tall.

2022, Deshaun was 74 inches tall.

So assume the age on X-axis and Height on Y-axis.

A)Label the points we could use to find slope from this information:

  (2018,62) and (2022,74).

B) We know that,

    Slope=y2-y1/x2-x1

    ⇒Slope=(74-62)/(2022-2018)

    ⇒ Slope=12/4

    Slope=3.

C) As per the given slope, the height of Deshaun will increase 3 inches per year.

We need to use the concept of Plotting of Graphs.

A.(2018,62) and (2022,74) are the given points.

B. Slope=3

C. Height of Deshaun will increase 3 inches per year.

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Answer:

a. 1:5

b 1:4

Step-by-step explanation:

The ratios are as follows

a. For money withdrawn to total money deposited

₹410 : ₹ 2050

₹41:₹205

1:5

b. For money withdrawn to the remaining amount

₹410: (₹2050 - ₹410)

₹410:₹1640

₹41:₹164

1:4

A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is Market research.

What methods are employed in a qualitative forecast?

The expert opinion approach, the Delphi method, and the market survey approach are the three main methods utilized in qualitative forecasting.

What are qualitative forecasting models, and when are they useful?

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Step-by-step explanation:

3/4 kg + 2/5 kg

= 0.75 + 0.4

= 1.15kg in total

Answer: The number of the adult tickets is 168

Step-by-step explanation: * Lets explain how to solve the problem

- The adults ticket costs $10.50

- The students ticket costs $3.75

- The total money of the opening night is $2071.50

- The equation of the total money earned in the opening night is:

10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket

 and b is the number of the student ticket

- There were 82 students attended

* Lets solve the problem

∵ 10.50 a + 3.75 b = 2071.50

∵ The number of the students attended is 82

∵ b is the number of the students

∴ b = 82

- Substitute the value of b in the equation

∴ 10.50 a + 3.75(82) = 2071.50

∴ 10.50 a + 307.5 = 2071.50

- Subtract 307.5 from both sides

∴ 10.50 a = 1764

- Divide both sides by 10.50

∴ a = 168

∵ a is the number of the adult tickets

∴ The number of the adult tickets is 168

Give credit to ashraf 82

Answer:

The answer is 168

Step-by-step explanation:

Therefore, the diameter of the circle with an area of pi is 2. We can round this to the nearest tenth to get 2.0, since there are no decimal places beyond the first digit after the decimal point. Thus, the diameter of the circle is 2.0.

To find the diameter of a circle with an area of pi, we need to use the formula for the area of a circle which is A = πr^2, where A is the area of the circle, π is pi, and r is the radius of the circle.

Since we are given the area of the circle as pi, we can substitute that into the formula as follows:A = πr^2pi = πr^2Dividing both sides of the equation by pi gives us

:r^2 = 1r = sqrt(1)

Since the radius is equal to the square root of 1, which is 1, we can now use the formula for the diameter of a circle to find the diameter. The formula for the diameter of a circle is

:d = 2rd = 2(1) = 2

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Answer

7. is 9.129, 9.219, 9.3, 9.37

9. is 2.8, 2.81, 2.930, 2.941

I can't really see 8 or 10 but if you comment them I would be happy to help.

Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

Answer:

2*12x-5

Step-by-step explanation:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.

Answer:

Squash plant.

Step-by-step explanation:

I'm not sure how to explain, but if you divide 9 by 3, you get 3. There are 3 squash plants, so that's the answer. You could also write it as a ratio...

9:3

3:1

I'm not exactly sure how to explain the ratio part either, but I hope it helped at least a little bit...have an amazing day :3

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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Answer:

Step-by-step explanation:

12

Answer:

37.5 miles per gallon.

Step-by-step explanation:

Oceanic mountains are formed from the rocks of sea-bed that rises above the sea-level to its peak height.

We are given that the base of the mountain or the depth underneath the sea-level from where the mountain was formed as:

The total height/rise of the mountain is given to us as:

We are to determine the portion of the height that is visible above the sea-level! We know that the mountain base formation starts from below the sea-level at a certain depth ( d ) and the total height ( H ) of the mountain. We can express the portion of height ( h ) that is above sea-level mathematically as follows:

We will plug in the respective values given to us and solve for ( h ):

The elevation of mountain above sea-level to its peak height is given as:

Answer:

580 girls and boys

Step-by-step explanation: