Please triple check

Answer:

y = -5x + 14 is the correct equation.

If the explained sum of squares is 35 and the total sum of squares is 49, then the residual sum of squares is 14.

The total sum of squares is a measure of the total variability in a dataset. It is the sum of the squared differences between the mean of the dataset and each individual data point. The explained sum of squares is the sum of the squared differences between the predicted value of a regression line and the mean of the dataset.

The residual sum of squares is the sum of the squared differences between the predicted value of the regression line and the actual data points. It is the amount of variability in a dataset that is not explained by the regression line.To calculate the residual sum of squares for the given example, we start with the total sum of squares.

The total sum of squares is the sum of the squared differences between the mean of the dataset and each individual data point. The mean of the dataset is calculated by summing all the values and then dividing by the number of data points.

The total sum of squares is then the sum of the squared differences between the mean of the dataset and each individual data point. For the given example, the total sum of squares is 49.

The explained sum of squares is the sum of the squared differences between the predicted value of the regression line and the mean of the dataset. The predicted value of the regression line can be found using the regression equation. The explained sum of squares for the given example is 35.

The RSS is then the difference between the TSS and the explained sum of squares. For the given example, the RSS is 49 - 35 = 14.

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The Circumcenter will not always lie in the triangle.

The intersection of all of the triangle's sides' perpendicular bisectors that is, the lines that are perpendicular to each side's midpoint, indicates the location of the triangle's circumcenter.

This shows that the triangle's perpendicular bisectors are concurrent with each other. As we know all types of triangles are cyclic and hence, every triangle will have a circumcenter.

In the case of an acute-angled triangle, the circumcenter will lie inside the triangle, when it comes to an obtuse-angled triangle, it will be at the outside of the triangle.

In a Right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse side.

By the above explanation,

The Circumcenter will not always lie in the triangle.  

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Answer:

437

437 is a whole number itself, so it would be 437.

Hope that helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct answer is c. assume numeric values for which arithmetic operations make sense.

A quantitative variable is a type of variable that represents numerical quantities and allows for mathematical operations such as addition, subtraction, multiplication, and division. It involves values that can be measured and expressed numerically. This type of variable is different from categorical variables, which represent qualitative characteristics or categories.

Options a, b, and d are not exclusive to quantitative variables. Categorical variables can also be graphed, have intermediate values (in the case of ordinal variables), and be used to prepare tables. However, only quantitative variables involve numeric values for which arithmetic operations can be performed.

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We get the surface area as 202 inches² and volume as 168 inches³.

The surface area of a cuboid is given by:

Surface area = 2xy + 2xz + 2yz

Here length = x = 7 inches

Breadth = y = 3 inches

Height = z = 8 inches.

Substituting the values in the formula, we get that:

Surface area = A = 2(7)(3) + 2(7)(8) + 2(3)(8) inches²

A = 42 + 112 + 48 inches²

A = 42 + 160 inches²

A = 202 inches²

Volume of a cuboid is given by :

Volume = xyz

Substituting the values, we get that:

Volume = (7) (3) (8) inches³

Volume = 21 × 8 inches³

Volume = 168 inches³.

Therefore, we get the surface area as 202 inches² and volume as 168 inches³.

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Answer:Basically, you're conducting an experiment and you need to choose your subject that you will study,what you will observe,what you will leave untouched,your method of choosing your subject,and the method and location you will do your experiment. For the websites,you will list your sources and quote your information found

Step-by-step explanation:

Hope It helps!

(A friendly middle schooler)

Answer:

The answer would be A.

Step-by-step explanation:

The simplified expression without parentheses is \(-8a^5b^7 + 18a^3b^5\).

To rewrite the expression without parentheses and simplify it as much as possible, we need to distribute the term (-2a^(3)b) to each term inside the parentheses. This is done by multiplying the term outside the parentheses with each term inside the parentheses.

So, we have:
\((4a^2b^6-9b^4)(-2a^3b) = (4a^2b^6)(-2a^3b) - (9b^4)(-2a^3b)\)

Next, we simplify the terms by combining like terms and using the rules of exponents:

\(= -8a^5b^7 + 18a^3b^5\)

So, the simplified expression without parentheses is \(-8a^5b^7 + 18a^3b^5\).

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Answer:

the simplified form of 3/135 is 1/45

Step-by-step explanation:

What i did was 135 divided by 3 which i got 45 then turned it into a fraction which would be 1/45

Answer:

c= -2

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

f(2)=4x+10

f=(4)(2)+10

f=8+10

f=18

Answer: B.) x ≥ -6

Step-by-step explanation:

The given initial value problem's exact solution: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 i: y(1) ≈ 1. Given the initial value problem:

y' = ty ' (0)

 = 0

We are to determine the exact solution y(t) and compute y(1), and also find the Euler approximation of y on the interval [0, 1] using a step-size h = 0.5 (half step size).

(a) The given initial value problem is a first-order linear differential equation, whose standard form is:

y' + P(t)y = Q(t), where P(t) = 0 and Q(t) = 0. Thus, the integrating factor is:

I(t) = e^∫ P(t)dt

      = e^∫ 0 dt

      = 1.

The exact solution y(t) is obtained by multiplying both sides of the differential equation by the integrating factor,

I(t) = 1, and integrating:

y' + P(t)y = Q(t) becomes

y' + 0y = 0, which implies

y' = 0.

Hence, y(t) = Ce^0 = C, where C is a constant determined using the initial condition y(0) = 1. Therefore, we have:

C = y(0) = 1.

Hence, the initial value problem's exact solution is y(t) = 1, and thus y(1) = 1.

(b) Euler Approximation of y using step-size h = 0.5We have h = Δt = 0.5, t0 = 0, tn = 1. The number of steps, n, is given by:

n = (tn - t0)/h

n = (1 - 0)/0.5

n = 2.

Therefore, we have two grid points:

t0 = 0, and

t1 = 0 + 0.5

  = 0.5

For the Euler approximation of y on [0, 1], we use the formula:

yi+1 = yi + h * f(ti, yi), for i = 0, 1, 2, ..., n - 1, where

f(ti, yi) = tiyi

= (0)(yi)

= 0, for i = 0, 1, 2, ..., n - 1.

Hence, we have:

y0 = y(0) = 1, and

y1 = y0 + h * f(t0, y0)

= y0 + h * 0

= 1 + 0

= 1

Therefore, the Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ y1 = 1. Therefore, y(1) ≈ 1. The exact solution of the given initial value problem is: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ 1.

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Answer:

Step-by-step explanation:

The population of fish is modeled by the exponential equation:

p(x) = 175*(1.06)^x

We know that the initial number of fish on the pond is 175, and it increases at a rate of 6% per month, then the population is given by the exponential equation:

p(x) = 175*(1 + 6%/100%)^x

We can simplify that to get:

p(x) = 175*(1 + 6%/100%)^x

p(x) = 175*(1 + 0.06)^x

p(x) = 175*(1.06)^x

That equation gives the population of fish.

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Answer:

2.3455555555 = 2    691111111 / 2000000000

Step-by-step explanation:

because I know ;)

9514 1404 393

Answer:

  sin(M) = √7/4

  cos(M) = 3/4

  tan(M) = √7/3

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships of interest.

  Sin = Opposite/Hypotenuse

  sin(M) = (2√7)/8 = √7/4

  Cos = Adjacent/Hypotenuse

  cos(M) = 6/8 = 3/4

  Tan = Opposite/Adjacent

  tan(M) = (2√7)/6 = √7/3

To convert miles to kilometers, you need to multiply the value in miles by 1.60934.

To convert miles to kilometers, the mathematical operation that is required is multiplication. Here is the mathematical formula to convert miles to kilometers :km = miles × 1.60934

Where 1.60934 is the conversion factor from miles to kilometers. So, to convert any value from miles to kilometers, simply multiply the value by 1.60934.

For example, let's say you want to convert 10 miles to kilometers. Using the formula above, we get: km = 10 miles × 1.60934km = 16.0934 kilometers

Therefore, 10 miles is equivalent to 16.0934 kilometers.
In summary, to convert miles to kilometers, you need to multiply the value in miles by 1.60934.

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Answer:

B

Step-by-step explanation:

Now, the total amount of discount eligible by Jamie to be applied will be the percentage on the hardcover books plus the percentage on the fiction books

Mathematically, that would be 20% + 15% = 35%

So what this means is that , Jamie is entitled to a total of 35% off

So applying this to the price of the book, we have;

32.99 -(35/100 * 32.99)

= 32.99-(0.35 * 32.99)

= 32.99-(11.5465) = $21.4435

So if she is paying 21.4435 for the book, the amount saved will be 32-21.4435 = $11.5465 which is approximately $11.55

Answer:

A. $10.56

Step-by-step explanation:

20% of $32.99 equals $6.60

$32.99-$6.60 = $26.39

$26.39 x 15%= $3.96

$6.60 +$3.96 = $10.56

Answer:

4

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

Answer:

The area of larger table is 24 square feet.

Step-by-step explanation:

Given are the length and width of small table

\(l_s = 2\ ft\\w_s = 3\ ft\)

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table

So the length and width of larger table will be:

\(l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet\)

The area of larger table will be:

\(A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2\)

Hence,

The area of larger table is 24 square feet.

EXPAND

2w + 6 = 14

BALANCE OUT (-6 from both sides)

2w = 8

SOLVE

2w =8

÷2 ÷2

w = 4

Answer:

c=10

Step-by-step explanation:

pythagreom theroem

c (hypotenuse) = \(\sqrt{a^{2} +b^{2} }\)

plug in values for a and b

c=\(\sqrt{6^{2} +8^{2} }\)

c=\(\sqrt{36+64\\}\)

c=\(\sqrt{100\\}\)

c=10

Answer:

length of the hypotenuse = √100 = 10 ft

Step-by-step explanation:

This is a right triangle with leg lengths 6 and 8 ft.  We apply the Pythagorean Theorem a^2 + b^2 = c^2, as follows:

(6 ft)^2 + (8 ft)^2  = c^2

Then c^2 = 100, and c = length of the hypotenuse = √100 = 10 ft

The equation of the given information is y(x) = 5x+10

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between.

Given that cost of renting for different numbers of hours.

The initial cost, regardless of time, is; $10. then the cost will increase at a rate of $5 per hour that the boat is rented.

Therefore, the cost (y) of renting a paddle boat for 'x' hours is:

y(x) = 5x+10

here linear relationship between x and y, where 5 is the slope of the equation, 10 is the y-intercept, the number of hours is the independent variable, and the cost is the dependent variable.

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By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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We will solve as follows:

a. We will find the measure of the angle using the following expression:

Here a, b & c are the sides delimited by the triangle formed inside the circle and the points given and C is the angle between them. Now, we solve for C, then replace and solve[This can be seen in the following graph]:

Now, we determine the values of a. b and c using the points given and the vertex:

Now, we replace the values on the formula and solve for C:

And that in radians is:

So, the angle is approximately 1.89 radians.

b.

We will find the distance he traveled along the arc as follows:

Here s is the arc length, theta the angle and r the radius, now we replace:

So, he traveled approximately 39.69 feet.

We are given the expression:

We, simply replace the values of solution given and then determine in which it is not a solution, but we can see that when we replace x = 0, we will get:

So, this proves that the function is not an identity.

The wavelength of an atom is 3.28× 10−11 m when it is travelling at its root-mean-square speed at 20 °C. Decide on the atom. Consequently, M = 2 and the gas's molar mass is 2 kgmol−1 .

Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape.

calculation

urms=  \(\sqrt{\frac{3RT}{M} }\)

and

λ=h/murms

⟹urms=h/mλ⟹

 \(\sqrt{\frac{3RT}{M} }\)=h/mλ

72.2 = 148.17 / M

M = 148.17/72 ≈ 2

Consequently, M = 2 and the gas's molar mass is 2  kgmol−1. A gas with a molecular mass of 2 kgmol-1, however, does not exist.

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