find all values of the scalar k for which the two vectors are orthogonal. (enter your answers as a comma-separated list.) u = 4 5 , v = k 1 k − 1

Answer:

The answer is y = 7/x -6.

Step-by-step explanation:

A linear function is one where x and y are both to the first power.  Using this knowledge, let's look at the options that we are given.

y = 4x + 9

In the above equation, both x and y are raised to the first power, so we know that this equation is linear.

y = 7/x - 6

In the above equation, y is raised to the first power, but x is not.  Since x is in the denominator of a fraction, it actually has a power of -1, which makes this equation nonlinear.

y = x - 6/7

In the above equation, both x and y are raised to the first power, making the equation linear.

Therefore, the correct choice is y =7/x - 6.

Hope this helps!

The equation of the straight line with a gradient of -1 and passing through the point (-1/2, -1/4) is y + x = -3/4.

To find the equation of a straight line, we can use the point-slope form of the equation, which is:

y - y1 = m(x - x1)

where m represents the gradient (slope) of the line, and (x1, y1) represents a point on the line.

In this case, the gradient is -1, and the line passes through the point (-1/2, -1/4).

Plugging the values into the point-slope form:

y - (-1/4) = -1(x - (-1/2))

Simplifying:

y + 1/4 = -1(x + 1/2)

y + 1/4 = -x - 1/2

Now, let's bring the terms to one side of the equation:

y + x = -1/2 - 1/4

Combining the fractions:

y + x = -3/4

Therefore, the equation of the straight line with a gradient of -1 and passing through the point (-1/2, -1/4) is y + x = -3/4.

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I think it's C but also not completely sure good luck

Answer:

y=8x+4

Step-by-step explanation:

The maximum error in the calculated area of a rectangle with a length of 22 cm and width of 42 cm, with an error in measurement of at most 0.1 cm in each, can be estimated to be approximately 9.24 cm².

The area of a rectangle is given by the formula A = l x w, where A represents the area, l represents the length, and w represents the width. To estimate the maximum error in the calculated area of the rectangle, we need to find the differential of A with respect to l and w, and then multiply them by the maximum error in measurement for each.

The differential of A with respect to l is dA/dl = w, and the differential of A with respect to w is dA/dw = l. Therefore, using the given measurements, we can calculate the area A as follows:

A = l x w = 22 cm x 42 cm = 924 cm²

To estimate the maximum error in the calculated area, we can use the formula for differentials:

dA ≈ (∂A/∂l)Δl + (∂A/∂w)Δw

where Δl and Δw represent the maximum error in measurement for the length and width, respectively. Substituting the values we get:

dA ≈ (42 cm)(0.1 cm) + (22 cm)(0.1 cm) = 4.2 cm² + 2.2 cm² ≈ 6.4 cm²

Therefore, the maximum error in the calculated area of the rectangle is approximately 6.4 cm². However, this is only an estimation based on the maximum error in measurement for each variable. To find the actual maximum error, we need to calculate the total differential of A, which is:

dA = dw x l Δl + dl x w Δw

Substituting the values we get:

dA = (42 cm)(22 cm)(0.1 cm) + (22 cm)(42 cm)(0.1 cm) = 92.4 cm²

Therefore, the maximum error in the calculated area of the rectangle is approximately 92.4 cm². However, this is the total error and not just the error due to the maximum error in measurement for each variable. To find the error due to the maximum error in measurement for each variable, we need to divide the total error by the actual area:

Maximum error due to Δl = (dw x l Δl) / A ≈ 2.28 cm²

Maximum error due to Δw = (dl x w Δw) / A ≈ 6.96 cm²

Therefore, the maximum error in the calculated area of the rectangle is estimated to be approximately 9.24 cm², which is the sum of the errors due to the maximum error in measurement for each variable.

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Step-by-step explanation:

please mark me as brainlest

Answer:

5n - 27

n

5 because you minus 5 each time

27 because 32-5=27

(5×50) -27=

223

There are 6 four-digit numbers that can be formed using the digits 1, 2, 3, and 4, which are divisible by 4. These numbers are 3214 and 4312. The answer is that there are 6 four-digit numbers that can be formed using the digits 1, 2, 3, and 4, which are divisible by 4.

To find the four-digit numbers that are divisible by 4, we need to consider the divisibility rule of 4. According to this rule, a number is divisible by 4 if its last two digits are divisible by 4.

Let's list the possible combinations of the last two digits:

- 12 is not divisible by 4.
- 14 is not divisible by 4.
- 21 is not divisible by 4.
- 23 is not divisible by 4.
- 32 is divisible by 4.
- 34 is not divisible by 4.
- 41 is not divisible by 4.
- 43 is divisible by 4.

Out of these combinations, only 32 and 43 have the last two digits divisible by 4. We can pair each of these two-digit numbers with the remaining two digits in any order to form a four-digit number.

For example, if we pair 32 with 1 and 4, we get the number 3214. Similarly, if we pair 43 with 1 and 2, we get the number 4312.

Therefore, the four-digit numbers that can be formed using 1, 2, 3, and 4, and are divisible by 4, are 3214 and 4312.

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The segment lengths for this triangle are given as follows:

Similar triangles are triangles that share these two features given as follows:

There are three triangles in this problem, all of which are similar.

The length of segment PX can be obtained with triangles PQR and PXY, as follows:

PX/30 = 10/40

PX/30 = 1/4

4PX = 30

PX = 7.5.

The length of segment XQ is found applying the segment addition postulate, as follows:

PQ + XQ = 30

7.5 + XQ = 30

XQ = 22.5.

The length of segment XY can also be obtained with the similarity of triangles PXY and PQR, as follows:

XY/36 = 10/40

XY/36 = 1/4

4XY = 36

XY = 9.

The length of segment ZW is obtained with the similarity of triangles PZW and PQR, as follows:

ZW/36 = 24/40

ZW/36 = 0.6.

ZW = 36 x 0.6

ZW = 21.6.

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The formula A = l  w is used to calculate the area of a rectangle, which is 13.76 square meters. Su Li needs 13.76 square meters of covering for the rectangular flower bed.

The formula to calculate the area of a rectangle is given by:A = l × w Where, A = Area of rectangle l = length of rectangle w = width of rectangle Given that the rectangular flower bed measures 3.2 meters by 4.3 meters. So,Length of rectangular flower bed, l = 3.2 meters Width of rectangular flower bed, w = 4.3 meters Using the above formula, we can find the area of the rectangular flower bed. A = l × w= 3.2 meters × 4.3 meters= 13.76 square meters Therefore, Su Li will need 13.76 square meters of covering for the rectangular flower bed. Hence, the answer is 13.76 square meters of covering.

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Answer: A

Screenshot of calculator

The equation is 6.5 (r-1) + 5.5  = 259 or 6.5 r - 1 = 259.

In this case, r stands for the overall number of rows.

The answer indicates that each row is 6.5 cm tall.

A formula known as an equation uses the equals sign (=) to express how two expressions are equal. The word "equation" and its cognates in other languages may have slightly different meanings. For instance, in French, an equation is defined as having one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. The task of solving an equation with variables entails figuring out which values of the variables cause the equality to hold true. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Identity equations and conditional equations are the two types of equations.

The height of the top row is 6.5 - 1 = 5.5 cm.

Except for this row, there are total rows of = (r-1)

So, 6.5 is the total length of these rows (r-1)

The overall length of the wall is therefore equal to the sum of the (r-1) row and the top row.

However, once more in line with the inquiry,

Exactly 259 centimeters must be on the wall.

⇒ 259 = 6.5(r-1) + 5.5

⇒ 6.5(r-1) + 5.5 = 259

⇒ 6.5 r - 6.5 + 5.5 = 259

⇒ 6.5 r - 1 = 259

Which is the required equation for finding the number of rows (r).

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Answer:

change format

Step-by-step explanation:

V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Answer:

D = 105

Step-by-step explanation:

Vertical angles are equal

D = E

D = 105

Answer: D is 105°

Step-by-step explanation:

Vertical angles have the same measures.They are congruent to each other.So if D and E are vertical angles,  and E is 105 degrees then D will have the same measure.

The function F(x, y) has a local maximum at (-2, -3), saddle points at (2, -3) and (-2, 1), and a local minimum at (2, 1).

To find the critical points and classify them as local maxima, local minima, or saddle points, we need to find the partial derivatives of the function F(x, y) and evaluate them at each critical point.

Given the function F(x, y) = x³ - 12x + y³ + 3y² - 9y, let's find the partial derivatives:

∂F/∂x = 3x² - 12

∂F/∂y = 3y² + 6y - 9

To find the critical points, we set both partial derivatives equal to zero and solve the resulting system of equations:

3x² - 12 = 0 --> x² = 4 --> x = ±2

3y² + 6y - 9 = 0 --> y² + 2y - 3 = 0 --> (y + 3)(y - 1) = 0 --> y = -3 or y = 1

Therefore, the critical points are (-2, -3), (2, -3), and (-2, 1).

To classify these critical points, we use the second partial derivatives test. The second partial derivatives are:

∂²F/∂x² = 6x

∂²F/∂y² = 6y + 6

Now, let's evaluate the second partial derivatives at each critical point:

At (-2, -3):

∂²F/∂x² = 6(-2) = -12 (negative)

∂²F/∂y² = 6(-3) + 6 = -12 (negative)

Since both second partial derivatives are negative, the point (-2, -3) corresponds to a local maximum.

At (2, -3):

∂²F/∂x² = 6(2) = 12 (positive)

∂²F/∂y² = 6(-3) + 6 = -12 (negative)

Since the second partial derivative with respect to x is positive and the second partial derivative with respect to y is negative, the point (2, -3) corresponds to a saddle point.

At (-2, 1):

∂²F/∂x² = 6(-2) = -12 (negative)

∂²F/∂y² = 6(1) + 6 = 12 (positive)

Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, the point (-2, 1) corresponds to a saddle point.

Therefore, the critical points are classified as follows:

Local maximum: (-2, -3)

Saddle points: (2, -3) and (-2, 1)

Local minimum: (2, 1)

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Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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Answer:

If you look back at the formula, you'll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle. Do you see where the "n – 2" comes from? It gives us the number of triangles in the polygon.

Have a nice day   :)

Answer:

being they all have the same amount of chances to be rolled on the same amount  i would say 40

Step-by-step explanation:

Answer:

tan∠A = \(\frac{3}{4}\)

Step-by-step explanation:

SOHCAHTOA

O= Opposite

H= Hypotenuse

A = Adjacent

So according to this the 3 is the opposite side and 5 is the hypotenuse.

So we need to find adjacent side for Tan.

For this we will use pythagorean theorem. \(a^{2} + b^{2} = c^{2}\) c is the hypotenuse, b is the base.

We are sure that the hypotenuse is 5 but we dont know which side is 3 but it wont matter we can put it in either a or b because it would be adjacent at the end as we already know the other 2.

\(3^{2} +b^{2} = 5^{2} \\9 + b^{2} = 25\\b^{2} = 16\\b^{2} = 4^{2} \\b = 4\)

So the adjacent side 4. Now according to TOA tan∠A = \(\frac{3}{4}\)

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

Definition of a rectangle. Opposite sides of a parallelogram are congruent. Reflexive Property of congruent , SSS, option D.

Every component of the set is connected to itself, according to the reflexive feature of sets. The reflexive property of congruence is known when the relation specified on a set is congruence, and the reflexive property of equality is known when the relation defined on a set of numbers is equality. When this occurs, the relation can be referred to as a reflexive relation or as a reflexive property being satisfied on that set.

Any geometric figure compared to itself is congruent to itself so this is why:

AC ≅ CA

∠B ≅ ∠B

Since we have a parallelogram, therefore we can say:

BC ≅ DA

BA ≅ Dc

CA ≅ AC

Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.

So, It's D.

Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.

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Complete question:

Given: ABCD is a rectangle.

Prove: ΔABC is congruent to ΔCDA ABDC is a rectangle.

ABCD is a parallelogram. AB is congruent to DC and BC is congruent to DA AC is congruent to AC ΔABC is congruent to ΔCDA Given Definition of a rectangle. Opposite sides of a parallelogram are congruent. _____________________ _____________________

A. Symmetric Property of congruent; SAS

B. Reflexive Property of congruent to; SAS

C. Symmetric Property of congruent; SSS

D. Reflexive Property of congruent; SSS

Step-by-step explanation:

\( {4x}^{2} - 4x + 10\)

\( {2x}^{2} + 5x - 8\)

\( {6x}^{2} + x + 2\)

Answer:

 6x^2  +x   +2

Step-by-step explanation:

Line up the terms

 4x^2 - 4x + 10

+2x^2 + 5x – 8

----------------------------

 6x^2  +x   +2

There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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Answer:

Ans=9.6

Step-by-step explanation:

area=l^2

92=l^2

√92=l

l=9.6

Answer:

$56,000

Step-by-step explanation:

The mean, also known as the average, of a data set is the sum of all the values divided by the number of values in the data set: mean = (Σx)/n

Σx = 448,000

n = 8

mean = \(\frac{448000}{8}=56000\)

Therefore, the mean salary of a salesperson at the company is $56,000

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

Step-by-step explanation:

(13g+1) - (-2-5g) = 8/3(3g+9/8)

We'll set them equal for now and then simplify

(13g + 1 - 2 - 5g) = (8g + 3)

8g - 1 = 8g + 3

So now we know they're not equal. Mr. Scotty boy is wrong and you have the simplifications. Hope this helps!

Answer:

A,E,G

Step-by-step explanation:

use sohcahtoa

sine = opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

Answer:

It might be C if im wrong sorry

Step-by-step explanation: