which is a proper number ?

A. 2/3
B. 3/2
C. 1 2/3
D. 3/3

The equation in slope-intercept form for the line of best fit is y = 0.28x + 80.42.

The correlation between the various grid points is shown by the line of best fit. By figuring out the link between several graph points, it may be utilized to discover patterns. Both the financial market and the scientific community make extensive use of it.

The two coordinates obtained from the table is:

(5, 79) and (12, 77)

The slope of the equation is given as:

m = (y2 - y1) / (x2 - x1)

m = (77 - 79)/ (12 - 5)

m = - 2/ 7

The equation in the point slope form is:

y - y1 = m (x - x1)

y - 79 = - 2/7 (x - 5)

y = -2/7 x + 10/7 + 79

y = 0.28x + 80.42

Hence, the equation in slope-intercept form for the line of best fit is y = 0.28x + 80.42.

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Answer:

29/13

Step-by-step explanation:

The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.

Answer:

2 yards

Step-by-step explanation:

12 inches=1  ft

72 inches=1/12×72=6 ft

3 ft=1 yard

6 ft=1/3×6=2 yards

Answer:

2 yards

Step-by-step explanation:

1 yard = 36 inches

72/36 = 2

Answer:

The answer is (-9, 2)

Step-by-step explanation:

Trust me its actually correct

Pls mark me as brainliest

The total remaining oil reserves(in billions of barrels), R(t), as a function of t, the number of years since now is R(t) = 2030 - 25t.

Given that the world's current oil reserves is 2030 billion barrels. If, on average, the total reserves is decreasing by 25 billion barrels of oil each year, we have to give a linear equation for the total remaining oil reserves(in billions of barrels), R(t), as a function of t, the number of years since now.

The formula to find the remaining oil reserves is given by;R(t) = R(0) - m × t

Where, R(0) is the original quantity of the oil reserves,R(t) is the remaining quantity of the oil reserves,m is the rate of the decrease in reserves per year,t is the number of years from now.

Using the above formula, the linear equation for the total remaining oil reserves as a function of t is; R(t) = 2030 - 25t

Thus, the total remaining oil reserves(in billions of barrels), R(t), as a function of t, the number of years since now is R(t) = 2030 - 25t.

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Answer:

30 seconds

Step-by-step explanation:

10 ÷ 10 = 1 block

5 ÷ 10 = 0.50

0.50 of a minute is 30 seconds

Answer:

152

ΔY =  436 - 132 =304

Δ X = 6-4 = 2

ΔY/X = 304/2 = 152

Step-by-step explanation:

In her presentation, Alaina can use a pie chart to show information about how the typical college student spends their day.

A circular chart that has been divided into sectors or "pie slices" to represent numerical proportions is known as a pie chart. Each pie slice symbolises a percentage, and each slice's size is proportional to the percentage it represents.

In this instance, Alaina can separate the pie chart into four segments that stand in for the various activities that college students engage in throughout the day: sleeping, attending classes, studying, and participating in extracurricular activities. She can give each slice a unique colour and a label indicating the proportion it represents.

The pie chart, for instance, might have the following slices:

-30% of people are sleeping (blue).

- 20% of the class (in green)

20% of study time (coloured)

30% of time for socializing

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Answer:

39,975

Step-by-step explanation:

There u go

Answer:

39,975

Step-by-step explanation:

Caculater

The estimate value of the standard deviation of the population ( manufacturing process) is 0.125..

The standard deviations is estimated to be one fourth of the sample range (as most of data values are within two standard deviations of the mean).

We have given that,

A sample of manufacturing process.

Sample size, n = 5

Mean of sample ranges = 0.50

we have to calculate the estimate of standard deviations of population.

thus , we estimate the standard deviations as fourth of the mean of the sample ranges is

S = Mean of sample ranges/4

=> S = 0.50/4

=> S = 0.125

Hence, the standard deviation of the population is estimated as 0.125..

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The differentials of the given functions are:

dy/dt = (1/2)√(3t) sec^2(√(3t)) dt

dy/dv = -v/2 + v

To find the differential of the function y = tan(sqrt(3t)), we can use the chain rule. Let u = sqrt(3t). Applying the chain rule, we have dy/dt = dy/du * du/dt.

First, we find dy/du by taking the derivative of tan(u), which is sec^2(u). Then, we find du/dt by taking the derivative of sqrt(3t), which is (1/2)√(3t). Multiplying these two derivatives together, we get dy/dt = (1/2)√(3t) sec^2(√(3t)) dt.

To find the differential of the function y = 4 - v^2/4 + v^2, we need to take the derivative with respect to v. The first term, 4, does not depend on v, so its derivative is 0.

For the second term, -(v^2/4), we use the power rule for differentiation. The derivative of v^2 is 2v, and dividing by 4 gives -(v/2).

For the third term, v^2, the derivative is 2v.

Combining these derivatives, we get dy/dv = -v/2 + v.

The differentials of the given functions have been calculated as dy/dt = (1/2)√(3t) sec^2(√(3t)) dt and dy/dv = -v/2 + v. These differentials represent the rate of change of the functions with respect to the respective variables.

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The differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))). The differential of y = 4 - v^2/4 + v^2 is dy/dv = 3v/2.

To find the differential of each function, we will differentiate them with respect to the independent variable.

Let's use the chain rule to differentiate this function.

Therefore, the differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))).

Let's differentiate this function using the power rule and the sum/difference rule for derivatives.

Therefore, the differential of y = 4 - v^2/4 + v^2 is dy/dv = 0 - v/2 + 2v = 3v/2.

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A. Understand

The question is asking how much money is saved.

Given :

B. Plan

that is :

C. Solve

Hence, savings = Php 3544.55

Factors of 47 are 1 and 47 which implies that it can only be divided by one and itself.

The number 47 is a prime number, which implies that it can only be divided by one and itself. As a result, the components of 47 are 1 and 47.

Generally, a number's factors are the positive integers that divide it evenly with no residual. The factors of 12 are, for example, 1, 2, 3, 4, 6, and 12, since each of these numbers can be divided into 12 without leaving a leftover.

Yet, there are only two elements in the case of prime numbers, such as 47, which are always 1, and the number itself. This is because, by definition, prime numbers have no divisors other than 1 and themselves.

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Answer:

B. $200,000

Step-by-step explanation:

Let x be the amount placed at 5.5%

3x is the amount placed at 5%

This leaves the rest for the 4.5 %   500000- x - 3x = 500000-4x

Assuming simple interest

I = PRT where I is interest, P is principle, rate is rate and t  is time

Interest for the 5.5% for 1 year is

I = x * .055 * 1 = .055x

Interest for the 5.% for 1 year is

I = 3x * .05 * 1 = .15x

Interest for the 4.5% for 1 year is

I = 500000-4x * .045 * 1 = 22500 - 0.18 x

Add the interest together to get the income for 1 year

.055x+  .15x+22500 - 0.18 x=25,000

Combine like terms

0.025x+22500=25000

Subtract 22500

.025x =2500

Divide by .025

x =100000  

short term notes is 100000

3*x = 300000 = government bonds

The rest is utility bonds 500000- 100000-300000 = 100000

We want how much more in government bond than utility bond

300000 -100000 = 200000

Answer:

200000

Step-by-step explanation:

the short term =x

government bonds =3x

utility bonds: 500000-4x

0.055x+3(0.05(x)+0.045(500000-4x)=25000

0.055x+0.15x+22500-0.18x=25000-22500

0.055x+0.15x+22500-0.18x-22500=2500

0.025x=2500

x=2500/0.25

x=100000

government bonds=3x=3(100000)=300000

utility bond=(500000-400000)=100000

government bonds than in utility bonds:

300000-100000=200000

Answer:

False

Step-by-step explanation:

Answer:

A Yes

Step-by-step explanation:

the ratio is 2:1

Answer:

A. yes

Step-by-step explanation:

Answer:

The answer is 11000; a lot greater than 88

Step-by-step explanation:

Do find the of:

88/x = .8/100

x.8 = 88 x 100

\(\frac{x.8}{.8} = \frac{8800}{.8}\)

8800 ÷ .8 = 11000

Hello,

Hope your well,

22$+18 x hours 3= Salary

22$ is the base charge and 18$ is the hourly rate.

Hope this helps and let me know of any errors,

Azumayay

Answer:

You solve them by using the order of operations in math, which calls for parentheses, exponents, multiplication, division, addition, and subtraction. Follow these steps in order in mathematical equations, and you'll be a math professional in no time. :)

Hope this helps.

Answer:

In summary, to solve multi-step equations, the following procedures are to be followed:

Eliminate any grouping symbols such as parentheses, braces, and brackets by employing the distributive property of multiplication over addition.

Simplify both sides of the equation by combining like terms.

Isolate a variable on any side of the equation depending on your preference.

A variable is isolated, performing the two opposite operations, such as addition and subtraction. Addition and subtraction are the opposite operations of multiplication and division.

example:

12x + 3 = 4x + 15

Solution

This is a typical multi-step equation where variables are on both sides. This equation has no grouping symbol and like terms to combine on opposite sides. Now, to solve this equation, first decide where to keep the variable. Since 12x on the left side is greater than 4x on the right side, therefore we keep our variable to the LHS of the equation.

This implies that, we subtract by 4x from both sides of the equation

12x – 4x + 3 = 4x – 4x + 15

6x + 3 = 15

Also subtract both sides by 3.

6x + 3 – 3 = 15 – 3

6x = 12

The last step now is to isolate x by dividing both sides by 6.

6x/6 = 12/6

x = 2

The correct answer is it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.

To determine the time it will take for a laptop to receive a packet of MTU size (1500 bytes), we need to consider the data transfer rate or network speed.

Let's assume the network speed is given in bits per second (bps). We'll need to convert the packet size from bytes to bits and then divide it by the network speed to calculate the time.

First, let's convert the packet size from bytes to bits:

Packet size = 1500 bytes

1 byte = 8 bits

1500 bytes * 8 bits/byte = 12000 bits

Now, we need to divide the packet size by the network speed to calculate the time:

Time = Packet size / Network speed

For example, if the network speed is 1 Gbps (1 gigabit per second), the calculation would be:

Time = 12000 bits / (1 Gbps) = 12000 / (10^9) seconds = 0.000012 seconds

Therefore, it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.

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Answer:

is 736 units

Step-by-step explanation:

my explanation is that I got it wrong because of the answer above of me an the right answer was 736 not 706

The surface area of the rectangular prism below with height as 8 units, length as 19 units and breadth as 8 units is A) 736 square units.

The surface area of a rectangular prism is the total area of all the faces of the prism. The rectangular prism below has 6 faces, each of which is a rectangle.

The area of a rectangle is given by:

area = length * breadth

The surface area of the rectangular prism is then given by:

surface area = 2 * (length * breadth + breadth * height + height * length)

Plugging in the values for the length, breadth, and height, we get:

surface area = 2 * (19 * 8 + 8 * 8 + 19 * 8) = 2 * (152 + 64 + 152) = 2 * 368 = 736 square units

Therefore, the surface area of the rectangular prism is A) 736 square units.

Here is a breakdown of the surface area of each of the faces:

Front face: 19 * 8 = 152 square units

Back face: 19 * 8 = 152 square units

Top face: 8 * 8 = 64 square units

Bottom face: 8 * 8 = 64 square units

Left face: 19 * 8 = 152 square units

Right face: 19 * 8 = 152 square units

The total surface area is the sum of the areas of all 6 faces, which is 736 square units.

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The graph that represents the equation (x - 2)^2/16 - (y + 1)^2/9 is less than or equal to 1 is an ellipse with its center at (2, -1), a horizontal major axis of length 8, and a vertical minor axis of length 6.

The equation (x - 2)^2/16 - (y + 1)^2/9 = 1 is in standard form for an ellipse, where a^2 = 16 and b^2 = 9. Therefore, the center of the ellipse is (h, k) = (2, -1), and the length of the semi-major axis is a = 4, while the length of the semi-minor axis is b = 3.

The major axis of the ellipse is horizontal, so the endpoints of the major axis are at (2 + 4, -1) = (6, -1) and (2 - 4, -1) = (-2, -1). Similarly, the endpoints of the minor axis are at (2, -1 + 3) = (2, 2) and (2, -1 - 3) = (2, -4).

Plotting these points and sketching the ellipse, we can see that it is centered at (2, -1) with a horizontal major axis of length 8 and a vertical minor axis of length 6. The ellipse is also symmetric about the x-axis and the y-axis. Finally, since the inequality in the equation is less than or equal to 1, the ellipse is shaded to include all points inside the ellipse as well as the boundary points on the ellipse.

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$18.48 increase in the number of fees collected in march

Answer:

B

Step-by-step explanation:

To answer your question, we need to use the Hardy-Weinberg equation, which tells us the expected genotype frequencies in a population. The equation is p^2 + 2pq + q^2 = 1, where p is the frequency of the dominant allele and q is the frequency of the recessive allele.

In this case, we know that q = 0.1, so p = 1 - q = 0.9. We can plug these values into the equation to find the expected genotype frequencies:
(0.9)^2 + 2(0.9)(0.1) + (0.1)^2 = 0.81 + 0.18 + 0.01 = 1.
This means that in a population of 3600, we expect to see 0.01 of individuals with the homozygous recessive genotype (tt), since q^2 represents the frequency of this genotype.

To find out how many people in the population will have Tay-Sachs disease, we simply multiply the expected frequency of the tt genotype by the total population size: 0.01 x 3600 = 36.
Therefore, we would expect 36 individuals in the population of 3600 to have Tay-Sachs disease, assuming that the population is in Hardy-Weinberg equilibrium and that all other assumptions of the model are met.

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The expression that will help Eshaal determine the length of segment BC is: BC = DE - AB

Since segments DE and AB are parallel, we can use the following expression to calculate the length of segment BC: BC = DE - AB. This expression states that the length of BC is equal to the length of DE minus the length of AB.

If segments DE and AB are parallel, we can use a simple expression to find the length of segment BC. This expression is: BC = DE - AB. This expression states that the length of BC is equal to the difference of the length of DE and the length of AB. In other words, if we know the lengths of segments DE and AB, we can calculate the length of segment BC by subtracting the length of segment AB from the length of segment DE. This expression is a useful tool for finding the length of segment BC when we know the lengths of segments DE and AB. It is a simple and efficient way to calculate the length of segment BC without having to measure it directly.

the complete question is : If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?If segments DE and AB are parallel, what expression can Eshaal use to determine the length of segment BC?

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Answer:

8 sq units

Step-by-step explanation:

area of square in middle is 2 x 2 = 4 sq units

area of one triangle is 1/2(2)(2) = 2 sq units

however, there are two triangles, so you have to double 2 to get 4

4 + 4 = 8

Answer:

8cm^2

Step-by-step explanation:

Method 1: It's a trapezium, so take the top length, (6cm), add it to the bottom length (2cm) = 8cm which is then divided by 2 (4cm) then multiplied by the height (2cm) giving an area of 8cm squared.

Method 2: area of the square = 2 x 2 = 4cm^2

Triangle 1: 2 x 2 = 4, divided by 2 = 2cm^2

Triangle 2: same as triangle 1.

Total: 4 + 2 + 2 = 8cm^2

The total percentage of athletes who enjoy cycling is given by:

74.5%.

A percentage is the division of an amount by a total amount, which is then multiplied by 100%.

In this problem, the percentages are already given for the entire population.

The percentage of athletes who enjoy cycling is divided into two nodes, as follows:

The percentages associated from each node are given on the text as follows:

Hence the proportion of athletes who enjoy cycling is given as follows:

0.45 x 0.80 + 0.55 x 0.70 = 0.745.

Then the percentage is of:

0.745 x 100% = 74.5%.

Which means that the last option is correct.

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