ax+by+cz+d=0 solve for z
​

The statistical method known as analysis of variance (ANOVA) is used to examine how different means differ from one another.

When you only run an omnibus/overall anova without any post-hoc tests, you will be unable to determine which of the groups are statistically different from each other. This is because an omnibus/overall anova simply tells you whether there is a significant difference between any of the groups, but does not tell you which groups are different. Follow up tests are needed to determine which of the groups are statistically different from each other.

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Answer:

Step-by-step explanation:

Acute

Answer:

All of these

Step-by-step explanation:

I'm not sure if it's right but hoped this helped and Have an AMAZING day!!

One way we can check this is to simply multiply 15 by 12 to get 180.

Or you could even switch the numbers around.

But if we wanted to check it further, we can take the total and divide that by one of the multiplican or multipliers (15 or 12) to get the correct product.

Therefore, these are some ways to use the numbers 180, 15 and 12 in expressions.

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

Given that Frame zero, F0 is the fixed global frame.

For each of the cases below find T1

Case (a)

F1 is rotated by an angle θ about zo.

Let O be the origin of the fixed frame F0, A be the origin of the frame F1 and α be the angle between the x-axis of the frame F0 and the projection of the x-axis of the frame F1 on the xy plane of the frame F0.

Let l, m, n be the direction cosines of the vector from O to A, expressed in F0.

The content-loaded frame zero F0 is the fixed global frame, which means that the vectors i, j, k representing the x, y, and z-axis of F0 are fixed and cannot be transformed.

Therefore, the transformation matrix T1:0

in this case is:

`T1:0 = [l1 m1 n1 0; l2 m2 n2 0; l3 m3 n3 0; 0 0 0 1]`

Case (b)

F1 is rotated by θ about xo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

Case (c)

F1 is rotated by θ about yo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Thus, the transformation matrix T1:0

for the three cases (a), (b), and (c) are given as follows:

(a) `T1:0 = [cosθ sinθ 0 0; -sinθ cosθ 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

(c) `T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Given θ = 150,

T1:0 for the three cases are:

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

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Step-by-step explanation:

the first question yields a rational number

second question 1/2x2/15 yields an irrational number

Answer:

Step-by-step explanation:

Step one:

given data

we can express the given data mathematically as

John can paint 0.5room in 2/3 hours

let the part of the room he can paint in an hour be x

so

if he takes 2/3 hours to paint 0.5 room

then he will take 1 hour to paint x

cross multiply we have

x= 0.5/2/3

x=0.5*3/2

x= 1.5/2

x=0.75 part of the room

75/100= 15/20=3/4 part

To find the greatest number of equal groups Cedric could have made, we need to find the greatest common factor (GCF) of 18 and 24.

The prime factorization of 18 is 2 × 3².

The prime factorization of 24 is 2³ × 3.

To find the GCF, we need to take the product of all the common factors and the lowest exponent of each factor that is common to both numbers. In this case, the common factor is 2 and the lowest exponent is 1.

GCF(18, 24) = 2¹ = 2

So Cedric could have made up to 2 equal groups of stickers.

To find how many of each type of sticker he put in each group, we can divide the number of stickers by the number of groups.

For the rocket stickers, Cedric put 18 stickers in 2 groups, so he put 9 rocket stickers in each group.

For the airplane stickers, Cedric put 24 stickers in 2 groups, so he put 12 airplane stickers in each group.

Therefore, Cedric put 9 rocket stickers and 12 airplane stickers in each of the 2 groups he made.

Answer:

10. 435,  11. 5.3,  12. 34.3

Step-by-step explanation:

Number 10:

Since these "||" are called Absolute Value, any negative numbers would convert to a positive number. Like how -435 is inside of the Absolute Value, you would convert -435 into 435.

Number 11:

Same thing as number 10. Since -5.3 is inside of the Absolute Value, you could covert -5.3 to 5.3.

Number 12:

Since 34.3 is already a positive number inside of the absolute value, you don't need to change the sign. Only negative signs in those lines needs to change into a positive.

Answer:

C^6

Step-by-step explanation:

C^5*C=C^6

The Sum of the given geometric series is -6 and it diverge as well as converge.

What is a geometric series?

In geometric series, each term after the first is calculated by multiplying the preceding term by a constant = common ratio (r). A geometric series has the following general form: a, ar, ar², ar³,..., where "a" is the first term and "r" is the common ratio.

The formula for calculating the sum of a geometric series is:

S = a(1 - rⁿ) / (1 - r), where "S" represents the sum of the series, "a" represents the first term, "r" represents the common ratio, and "n" represents the number of terms.

If the absolute value of the common ratio is less than 1, the series converges to a finite sum. If the absolute value of the common ratio is greater than or equal to 1, the series diverges and does not have a finite sum.

Now,

a. The first four terms of the series are:

n = 1: -4(1/3)⁰ = -4(1) = -4

n = 2: -4(1/3)¹ = -4(1/3) = -4/3

n = 3: -4(1/3)² = -4(1/9) = -4/9

n = 4: -4(1/3)³ = -4(1/27) = -4/27

b. To determine if the series converges or diverges, we can use the formula for the sum of an infinite geometric series, which is:

S = a/(1 - r)

where:

a = first term of the series

r = common ratio between terms (in this case, r = 1/3)

If |r| < 1, then the series converges to a finite sum. If |r| ≥ 1, the series diverges.

In this case, |r| = 1/3, which is less than 1. Therefore, the series converges.

c. To find the sum of the series, we can use the formula above:

S = a/(1 - r)

where a = -4 (the first term) and r = 1/3 (the common ratio).

S = -4/(1 - 1/3) = -4/(2/3) = -6

Therefore, the sum is -6.

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Answer:

D.

Step-by-step explanation:

817.099 is the smallest

please give brainliest

Repeat the procedure of dividing, multiplying, subtracting, and bringing the next digit down until you have solved the division problem's quotient.

For example, consider the long-division problem:

4567 ÷  123

In this problem, we need to repeat the process of dividing, multiplying, subtracting, and bringing the next digit down three times, since the divisor has three digits.

However, in some cases, you may need to repeat the process more or fewer times than the number of digits in the divisor.

For example, if the dividend has fewer digits than the divisor, you may need to repeat the process fewer times. Or, if you need to carry a digit over to the next step, you may need to repeat the process more times.

Thus, in general, you should repeat the process of dividing, multiplying, subtracting, and bringing the next digit down until you have found the quotient of the division problem. This will typically be the number of digits in the divisor, minus one, but it may be more or fewer in some cases.

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The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

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The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

The equation for the line of best fit is y = -5000/3x + 15000

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

The scatter plot

When the line of best fit is drawn, we have the following points

(3, 10000) and (0, 15000)

The linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 15000

Using the other point, we have

10000 = 3m + 15000

So, we have

3m = -5000

Divide by 3

m = -5000/3

Hence, the equation is y = -5000/3x + 15000

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Answer:

Dans 3 ans  l’âge du père sera le triple de celui de sa fille

Step-by-step explanation:

X= années qui doivent passer

3(12+X ) = 42 +X

36+ 3X = 42 +X

2X = 6

X = 3

La fille   15 ans

Le  père 45 ans   (15x3=45)

Answer:

(x+8)² + (y+9)² = 100

Step-by-step explanation:

The equation for a circle on a graph is

(x - a)² + (y - b)² = r²

r represents the radius

a represents the x displacement of the circle's center.

b represents the y displacement of the circle's center.

The characteristic equation is -λ(λ-4)(λ+3) = 0, and the corresponding eigenvalues and eigenvectors are:

λ1 = 0, v1 = [1, 3]

λ2 = 4, v2 = [5, -4, 3]

λ3 = -3, v3 = [1, 1, 0]

What is an identity matrix?

An identity matrix is a square matrix with ones (1) along the main diagonal (from the upper left to the lower right) and zeros (0) everywhere else. It is denoted by I, and its size is indicated by a subscript. For example, I2 represents a 2x2 identity matrix:

To find the characteristic equation and eigenvalues of the given matrix, we need to compute the determinant of the matrix A - λI, where λ is the eigenvalue and I is the identity matrix.

A = 0 -3 5

-4 4 -10

0 0 4

A - λI = -λ -3 5

-4 4-λ -10

0 0 4-λ

The determinant of A - λI is given by:

det(A - λI) = (-λ) [(4-λ)(-3) - (-10)(-4)] - (-4)[(-4)(-3) - (-10)(-λ)] + (0)[(-4)(5) - (4-λ)(-3)]

= -λ(λ-4)(λ+3)

Therefore, the characteristic equation is:

-λ(λ-4)(λ+3) = 0

The eigenvalues are the roots of this equation, which are:

λ = 0, 4, -3

To find the eigenvectors corresponding to each eigenvalue, we solve the system of linear equations (A - λI)x = 0.

For λ = 0, we have:

(A - λI)x = -3 5

-4 4

0 0

which leads to the equation -3x + 5y = 0 and -4x + 4y = 0. Solving this system of equations, we get:

x = y/3

So, the eigenvector corresponding to λ = 0 is:

v1 = [1, 3]

For λ = 4, we have:

(A - λI)x = -4 -3 5

-4 0 -10

0 0 0

which leads to the equation -4x - 3y + 5z = 0 and -4x - 10z = 0. Solving this system of equations, we get:

x = (5/3)z

y = (-4/3)z

So, the eigenvector corresponding to λ = 4 is:

v2 = [5, -4, 3]

For λ = -3, we have:

(A - λI)x = 3 -3 5

-4 7 -10

0 0 7

which leads to the equation 3x - 3y + 5z = 0, -4x + 7y - 10z = 0 and 7z = 0. Solving this system of equations, we get:

x = y

z = 0

So, the eigenvector corresponding to λ = -3 is:

v3 = [1, 1, 0]

Therefore, the characteristic equation is -λ(λ-4)(λ+3) = 0, and the corresponding eigenvalues and eigenvectors are:

λ1 = 0, v1 = [1, 3]

λ2 = 4, v2 = [5, -4, 3]

λ3 = -3, v3 = [1, 1, 0]

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Answer:

Tammy and Xavier has he same me money.

Step-by-step explanation:

5 pennis is just 5 and the nickel is 5 to so for that that is the answer

Answer:

\(y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis).

1) Determine the slope (m)

\(m=\displaystyle\frac{y_2-y_1}{x_2-x_1}\) where two points that fall on the line are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (2, -1) and (-3, 3):

\(m=\displaystyle\frac{-1-3}{2-(-3)}\\\\m=\displaystyle\frac{-4}{2+3}\\\\m=-\displaystyle\frac{4}{5}\)

Therefore, the slope of the line is \(-\displaystyle\frac{4}{5}\). Plug this into \(y=mx+b\):

\(y=-\displaystyle\frac{4}{5}x+b\)

2) Determine the y-intercept (b)

\(y=-\displaystyle\frac{4}{5}x+b\)

Plug in one of the given points and solve for b:

\(-1=-\displaystyle\frac{4}{5}(2)+b\\\\-1=-\displaystyle\frac{8}{5}+b\\\\b=\displaystyle\frac{3}{5}\)

Therefore, the y-intercept is \(\displaystyle\frac{3}{5}\). Plug this back into \(y=-\displaystyle\frac{4}{5}x+b\):

\(y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}\)

I hope this helps!

Answer:

y= -0.8x + 0.6

Step-by-step explanation:

To compare the consumption of energy drinks between two groups, i.e., students from "uh" and "ut," you can use an independent t-test.

The independent t-test is appropriate when you have two independent groups and you want to compare the means of a continuous variable between them.

In this case, you can collect data on energy drink consumption from a sample of students from both "uh" and "ut" and perform an independent t-test to determine if there is a statistically significant difference in the average consumption of energy drinks between the two groups.

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The length of line segment DE is 10 units

A line CE is given, on which three points  C, D and E lies in such a way that

length of line segment CD = 20

length of line segment CE = 32

We need to find the length of line segment DE

We know from the property of a straight line that, sum of all the length of line segments of a line is equal to the total length of the straight line

Therefore, CD + DE = CE

Putting values, we will get

20 + DE = 32

DE = 32 -20

DE = 10

Hence, the length of line segment DE is 10 units

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A)30; B)160; C)100; The tens digit are rounded to the nearest ten.

We indicate the digits inside the ones and hundreds column to round down to the closest tens. The ones column of the integer 3596 has 6 and the tens column contains 9. Given that the one in the one column falls within 5 to 9, we choose to replace it with 0.

A outcome of rounding 12346 to the next tens is 12350. The result of rounding 12346 to the closest hundreds is 12300. The result of rounding 12346 to the closest thousands is 12000.

a) 36: The tens digit is 3, Therefore, the number rounded to the nearest ten is 30.

b) 162: The tens digit is 6, Therefore, the number rounded to the nearest ten is 160.

c) 105: The tens digit is 0, Therefore, the number rounded to the nearest ten is 100.

Therefore, the answers are: a)30, b)160, c)100

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The carrying value represents the entry to record the retirement include loss on bond retirement of $2,000.

As given in the question,

Bond value = $300,000

Retired at = 98

Carrying value of bond = $296,000

Retirement value of the bond

= Bond Value × retired

= 300,000 × 98%

= ( 300,000 × 98 )/ 100

= $294,000

$296,000 > $294,000

⇒ Carrying value of bond > Retirement value

Loss on retirement = $ ( 296,000 - 294,000 )

                                = $2,000

Therefore, foe the given carrying value loss on bond retirement of $2,000.

The complete question is:

A $300,000 bond was retired at 98 when the carrying value of the bond was $296,000. the entry to record the retirement would include

a. loss on bond retirement of $2,000

b. gain on bond retirement of $2,000

c. gain on bond retirement of $4,000

d. loss on bond retirement of $4,000

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Answer:

-2

Step-by-step explanation:

sec 180 + sin 270 - tan 180 + cot 270

= -1 + (-1) - 0 + 0

= -1 + (-1)

= -2

Answer:

the number is 11

Step-by-step explanation:

"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95

Add 4 on each side: 9x = 99

Divide each side by 9: x = 11

I hope this helped, please mark Brainliest, thank you!

Answer:

Step-by-step explanation:

Let a number be X

So

Nine times a number, diminished by 4, is 95

9x-4=95

9x=95+4

9x=99

X=99/9

X=11

So the number is 11

The number of  minutes it would  take for 9 team members to paint a 3600 square foot wall is 90 minutes.

First step is to find  the  man-minutes

Man - minutes =12 × 45

Man-minutes = 540

Second step is to find the  sq/ft per man/min

2400/540 = 4.44 sq / ft per man-minutes

Now let find the  minutes it would take paint a 3600 square foot wall

let m represent the number of min for 9 men to do 3600 sq/ft

3600/4.44 = 810 man-min

so,

9m = 810

Divide both side by 9m

m = 810/9

m = 90 minutes

Therefore the number of minutes is 90 minutes.

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The statement that best describes the composition of most foods is: "They contain mixtures of the three energy nutrients, although only one or two may predominate."

Most foods contain mixtures of the three energy nutrients, namely carbohydrates, proteins, and fats. However, the relative proportions of these nutrients can vary significantly from one food to another. In some foods, one or two of these nutrients may predominate, while others may contain relatively equal amounts of all three.

Carbohydrates are a primary source of energy for the body and can be found in various forms such as sugars, starches, and fibers. Foods like grains (e.g., rice, wheat, oats), fruits, vegetables, and legumes tend to be rich in carbohydrates. However, the specific types and amounts of carbohydrates can vary widely.

Proteins are crucial for building and repairing tissues, as well as for various metabolic functions. Foods like meat, poultry, fish, eggs, dairy products, legumes, nuts, and seeds are excellent sources of protein. Again, the protein content in different foods can vary.

Fats, also known as lipids, are an important energy source and provide essential fatty acids. Foods such as oils, butter, avocados, nuts, and fatty meats are high in fats. Like carbohydrates and proteins, the fat content in foods can differ significantly.

It's worth noting that some foods may predominantly consist of one specific nutrient. For example, pure sugar is almost entirely composed of carbohydrates, while pure oil is almost entirely composed of fats. However, most whole foods, such as fruits, vegetables, grains, meats, and dairy products, contain a mixture of these energy nutrients.

Furthermore, a balanced diet typically includes a combination of these nutrients in appropriate proportions. A varied diet that incorporates a range of foods from different food groups helps ensure an adequate intake of carbohydrates, proteins, and fats, along with other essential nutrients required for optimal health.

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3 cups of strawberry syrup are needed to make 108 milkshakes.

Answer:

7×3

Step-by-step explanation:

option b

i hope it is helpful for you

Answer:  B. 7x3

This is because 7 times 3 = 21. The other answer choices do not multiply to 21.

Think of it like having 7 rows and 3 columns to give 21 squares overall to make this larger rectangle.

Answer:

-5/2

Step-by-step explanation:

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

m=(-3-7)/(6-2)

m=-10/4

simplify

m=-5/2