I WILL GOVE BRAINLIEST!!!

Answer:

\(y = - \frac{3}{20} x + 900 \\ \\ y = - \frac{20}{3} x + 6000\)

Step-by-step explanation:

\( \\ part \: a. \:( food \: expenses) \\ to \: solve \: these \: problems \: we \: surmone \\ \: the \: following \: laws : \to \\m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{815 - 812}{390 - 410} = - \frac{3}{20} = - 0.15 \\ the \: general \: slope \:i ntercept \: form \: is : \\ y = mx + c \\ to \: find \: c \: lets\: insert \: any \: two \: pairs \: for \: x \: and \: y \to \\ 812 = - \frac{3}{20} (410) + c \\ 16,240 = - 3(410) + 20c \\ c = \frac{1747}{2} \\ c = 873.5 \\ \\ therefore \: y = - \frac{3}{20} x + 900 \: (i.e \: to \: he \: nearest \: thousand). \\ \\ \\ part \: b. \: (medical \: expenses) \\ to \: be \: able \: to \: solve \: these \: problems \: we \: surmone \\ \: the \: following \: laws : \to \\m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{390 - 410}{815 - 812} = - \frac{20}{3} = - 6.667 \\ the \: general \: slope \:i ntercept \: form \: is : \\ y = mx + c \\ lets \: find \: c \: by \: insert \: any \: two \: pairs \: for \: x \: and \: y \to \\ 410 = - \frac{20}{3} (812) + c \\ 1230 = - 20(812) + 3c \\ c = \frac{17470}{3} \\ c = 5823.3333 \\ \\ therefore \: y = - \frac{20}{3} x + 6000 \: (i.e \: to \: he \: nearest \: thousand). \\ \\ \)

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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The probability that the It is purple or has an odd number is 1.045.

According to the statement

We have to find that the probability of the given condition.

So, For this purpose, we know that the

Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

From the given information:

five yellow jerseys numbered one to five and three purple jerseys numbered one to three.

The probability that the It is purple or has an odd number.

Then

Probability = 3/8 + 2/3

Probability = 0.375 + 0.67

Probability = 1.045.

So, The probability that the It is purple or has an odd number is 1.045.

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The diameter of a dime tells us the circumference of a dime is approximately 299 times larger than human hair.

The diameter of an object is used to calculated the circumference or area of the object. This also helps us to know the width of a circular object.

In this problem, the diameter tells us about the length of the each quantity.

The diameter of a dime tells us how wide the coin is and the diameter if a hair tells us the width of the hair.

Comparing both values

Dime = 17.91mm

Hair = 6.0*10^-2

Divide both quantity together.

17.91 / 6.0*10^-2 = 298.5≅299

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Answer:

6/20 prescient chance to get a green marble and a 8/19 chance to get a purple one

Step-by-step explanation:

A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.

This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.

However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.

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The area of a two-dimensional cross-section depends on the shape it represents, such as a square, rectangle, triangle, circle, or any other polygon. Each shape has its own formula for calculating its area.

In order to determine the area of the cross-section, we need additional information such as the shape of the cross-section, its dimensions, or any other relevant details. Without this information, it is not possible to calculate the area. Please provide more details or a specific shape or scenario so that an accurate answer can be generated. Once the shape is specified, the appropriate formula can be applied to calculate the area.

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Answer:

Parker the dog is 76.2 centimeters long.

Step-by-step explanation:

Parker the dog is 2 feet 6 inches long. There are 2.54 centimeters in 1 inch. How many centimeters is Parker the dog?​ 2 feet = 12 inches. 2(12) + 6 = 30

30(2.54) = 76.2.

Please let me know if you have anymore questions.

Good Luck! :)

1 foot = 12 inches

1 inch = 2.54 centimeters

1 foot = 30.48 centimeters

2 x 30.48 =  60.96

6 x 2.54 = 15.24

60.96+15.24=76.20

Parker the Dog is 76.20 centimeters tall.

Answer:

1/4096

Step-by-step explanation:

\((4*2)^{{(2-2*2)}^2}\\\\=8^{-2^2}\\\\=[\frac{1}{64}]^2\\\\=\frac{1}{4096}\)

you work from bottom to top

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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For the given equation, we created a situation in which the equation would work and analysed it.

What is meant by equations?

A mathematical equation is a formula that uses the equals sign (=) to represent the equality of two expressions. The expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side," respectively, of the equation. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

a ) Given the equation as:

 g + 3 / 16 = 15

Now we have to create a situation that the equations could represent. We have to create a word problem for the equation.

James had a packet of chocolates. There were a total of 16 students in his class. He bought three more chocolates so that each student received 15 chocolates. How many chocolates did James have in the beginning?

To solve this we take g as the number of chocolates in the beginning.

He bought 3 more chocolates.

So number of chocolates = g + 3

Now he divided it among 16 students equally.

So each student received = g + 3 /16 = 15 chocolates.

b) The situation would not work if the denominator of the equation is doubled. That is 16 * 2 = 32.

Because the number of students is 16.

But if the students were 16*2 = 32 then the situation would work.

Therefore for the given equation, we created a situation in which the equation would work and analysed it.

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Answer:

C

Step-by-step explanation:

While there is an outlier coordinate, it's still generally a positive correlation.

Answer:

I believe that should be right.

Step-by-step explanation:

I took a look at positive correlation graphs are they look like that. Negative correlation would mean the values would be going down as the time passes on.

The height of the cone is increasing at a rate of 16/9 units per second when the volume is 12 pi cubic units and the radius is 3 units.

To find the rate at which the radius is changing when the volume of the cone is 12 pi cubic units and the radius is 3 units, we can use related rates.

Given:
- Volume rate of change: dv/dt = 28 pi cubic units per second
- Radius: r = 3 units
- Volume: V = 12 pi cubic units
- Radius rate of change: dr/dt = 1/2 unit per second

We can use the formula for the volume of a cone: V = (1/3) pi r^2 h, where h is the height of the cone.

Since we only have the radius, we need to find the height in order to calculate the rate of change of the radius.

Given that the radius is 3 units, we can use the formula for the volume to solve for the height:
12 pi = (1/3) pi (3^2) h

Simplifying the equation, we get:
12 = (1/3) * 9 * h
h = 12 / (1/3 * 9)
h = 4

Now, we can differentiate the volume equation implicitly with respect to time (t) to find the relationship between the volume and radius rates of change:

dV/dt = (1/3) pi * (2r * dr/dt) * h + (1/3) pi * r^2 * dh/dt

Plugging in the given values:
28 pi = (1/3) pi * (2 * 3 * (1/2)) * 4 + (1/3) pi * (3^2) * dh/dt

Simplifying the equation, we get:
28 = 12 + 9 * dh/dt
dh/dt = (28 - 12) / 9
dh/dt = 16/9

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The equation of the line parallel to y = 4x - 1 and passing through (-3, 7) is y = 4x + 19.

To find the equation of the line parallel to y = 4x - 1 and passing through (-3, 7), we know that parallel lines have the same slope. The given line has a slope of 4. Since the line y = x also needs to have a slope of 4, we can write its equation as y = 4x + b. To find the value of b, we substitute the coordinates (-3, 7) into the equation. Thus, 7 = 4(-3) + b, which simplifies to b = 19. Therefore, the equation of the line parallel to y = 4x - 1 and passing through (-3, 7) is y = 4x + 19.

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Answer:

8 dollars

Step-by-step explanation:

2s+5m+s+m=207
s=45
2(45)+5m+45+m=207
135+6m=207

subtract 135 from both sides

6m = 72
divide both sides by 6
m=8 dollars per month of gameplay

Fiber optic  type of cable is uses a two-number designator consisting of core and cladding measurements.

What does fiber optics serve?

What methods are used to deploy fiber optics?

Can fiber optics compete with the internet?

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The form of deductive reasoning used in the given argument is; Law of Syllogism

The argument we are given is;

If a number ends in 0, then it is divisible by 10.

If a number is divisible by 10, then it is divisible by 5.

If a number ends in 0, then it is divisible by 5.

The law used for the deductive reasoning in the given argument is called Law of Syllogism. This is because this law of mathematical logic states that;

If the following two statements are true:

(1) If p , then q .

(2) If q , then r .

Then we can derive a third true statement:

(3) If p , then r .

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The number of favorable outcomes for events A and B would be: (1,2,3,4)

The sample space that is used to determine the probability of A given B is  (2, 4.6)

The probability for event A and B occurring would be: 1/6

The probability of event A given event B will be 2/3

The sample space refers to the collection of all the outcomes that can be expected from a set of randome experiments. Probability refers to the number of favorable outcomes divided by the number of tottal outcocmes.

From the data given, the probability of getting an even number and a number less than 5 will be 5/6 amd this is in the same ratio as 2/3. The probability of event A and B occurring will be 1/6.

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Answer:

1.8

Step-by-step explanation:

1.2p - 2q

Let p = 3.5 and q = 1.2

1.2 ( 3.5) - 2(1.2)

Multiply

4.2 - 2.4

Subtract

1.8

The amount of blue color in the green paint is an illustration of ratios and proportions.

Cheryl's green paint has more blue color

The proportion of blue color is calculated as:

\(\mathbf{Proportion = \frac{Blue}{Blue+ Yellow}}\)

So, we have:

\(\mathbf{Cheryl= \frac{16}{16+ 24}}\)

\(\mathbf{Cheryl= \frac{16}{40}}\)

\(\mathbf{Cheryl= 0.40}\)

Express as percentage

\(\mathbf{Cheryl= 40\%}\)

\(\mathbf{Rodney= \frac{6}{6+ 10}}\)

\(\mathbf{Rodney= \frac{6}{16}}\)

\(\mathbf{Rodney= 0.375}\)

Express as percentage

\(\mathbf{Rodney= 37.5\%}\)

By comparison: 40% >37.5%

Hence, Cheryl's green paint has more blue color

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The solution to the system of inequalities y ≤ 2x + 2 and y < -2x - 3 can be represented by a graph. The inequality y ≤ 2x + 2 represents a line with a slope of 2 and y-intercept of 2. The inequality y < -2x - 3 represents a line with a slope of -2 and y-intercept of -3. ( The graph attached)

The inequality y ≤ 2x + 2 represents a line in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is 2. To graph this inequality, we can first plot the line by using the y-intercept, which is the point (0,2) on the graph. Then, we can use the slope to find additional points that fall on the line, such as (1,4) or (-1,0). Once we have plotted several points, we can connect them to form the line.

The inequality y < -2x - 3 represents a similar line, but with a different slope and y-intercept. In this case, the slope is -2 and the y-intercept is -3. To graph this inequality, we can use the same process as before by first plotting the y-intercept (0,-3), and then using the slope to find additional points that fall on the line.

The solution to the system of inequalities is the area that lies on one side of the first line and the opposite side of the second line, which is the area between the two lines. This area can be represented by shading the region below the first line and above the second line on the graph. It is important to note that the solution region is not including the lines themselves, because the inequalities are strict inequalities.

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C. The statement is false. It is the sum of the squares of all the residuals that is minimized.

In the context of least squares, the goal is to minimize the sum of the squares of the residuals, not the square of the largest residual alone. The residuals are the differences between the observed values and the corresponding predicted values obtained from a regression model.

By minimizing the sum of the squares of the residuals, the least squares method ensures that all residuals contribute to the overall measure of fit, rather than just focusing on the largest residual. This approach provides a balanced and comprehensive assessment of the overall goodness of fit between the model and the observed data.

Therefore, the statement that the square of the largest residual is as small as it could possibly be is false. The least squares method aims to minimize the sum of the squares of all the residuals, leading to the best overall fit between the model and the data.

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Answer: No

Step-by-step explanation:

The ratio of the lengths of the shortest sides is \(\frac{6}{4}=\frac{3}{2}\).

The ratio of the lengths of the longest sides is \(\frac{10}{7}\).

Since these ratios are not equal, the triangles are not similar.

Answer:

-4/3

Step-by-step explanation:

-2 - 1 is -3

6-2 is 4

The change in temperature for the day is 34.1°F.

In Mathematics and Statistics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.

In Mathematics and Statistics, the range of a data set can be calculated by using this mathematical expression;

Range = Highest number - Lowest number

From the given data set, we have:

By substituting the numerical values for the temperature, we have:

Range = 15.7 - (−18.4)

Range = 15.7 + 18.4

Range = 34.1°F.

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\(\huge \bf༆ Answer ༄\)

The given triangles are similar by ~

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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It is proved that a multiple of a pythagorean triple is also a pythagorean triple

When ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

\(|AC|^2 = |AB|^2 + |BC|^2\)

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

WE can see few pythagorean triple as

\({3}^{2} + {4}^{2} = {5}^{2} {(3 \times 2)}^{2} + {(4 \times 2)}^{2} = {(5 \times 2)}^{2} {6}^{2} + {8}^{2} = {10}^{2}\)

3-4-5 is a Pythagorean triple.

Now Multiplying each of these numbers by 2, we obtain 6-8-10,

This is a Pythagorean triple.

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Answers:

A. 17

B. 27

C. -19

D. -7

E. 17

F. 326