Write 3/10 as an equivalent fraction with a denominator of 90

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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Answer:

(3,-2)

Step-by-step explanation:

a) The distribution of X, the student loan debt of a randomly selected college graduate, is normal with a mean of $25,200 and a standard deviation of $11,200. b) The probability is approximately 7.28%.

c) The middle lies between approximately $22,164 and $28,536.

a. The distribution of X, the student loan debt of a randomly selected college graduate, is a normal distribution (bell-shaped curve) with a mean (μ) of $25,200 and a standard deviation (σ) of $11,200. We can represent this as X ~ N(25200, 11200).

b. To find the probability that the college graduate has between $27,250 and $43,650 in student loan debt, we need to calculate the z-scores for these two values and then find the area under the normal curve between those z-scores.

First, we calculate the z-score for $27,250:

z1 = (X1 - μ) / σ = (27250 - 25200) / 11200 ≈ 1.8304

Next, we calculate the z-score for $43,650:

z2 = (X2 - μ) / σ = (43650 - 25200) / 11200 ≈ 1.6518

Now, we need to find the area under the normal curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this area.

Using a standard normal distribution table or a calculator, the probability is approximately P(1.6518 ≤ Z ≤ 1.8304) ≈ 0.0728.

c. To find the middle 20% of college graduates' loan debt, we need to find the range of values that contain the central 20% of the distribution. This range corresponds to the values between the lower and upper percentiles.

The lower percentile is the 40th percentile (50% - 20%/2 = 40%) and the upper percentile is the 60th percentile (50% + 20%/2 = 60%).

Using a standard normal distribution table or a calculator, we can find the z-scores corresponding to these percentiles:

For the lower percentile (40th percentile):

z_lower = invNorm(0.40) ≈ -0.2533

For the upper percentile (60th percentile):

z_upper = invNorm(0.60) ≈ 0.2533

Now, we can convert these z-scores back to the corresponding loan debt values:

Lower debt value:

X_lower = μ + z_lower * σ = 25200 + (-0.2533) * 11200 ≈ $22,164

Upper debt value:

X_upper = μ + z_upper * σ = 25200 + 0.2533 * 11200 ≈ $28,536

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The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

your is.... 2212

Step-by-step explanation:

7 days in a week, right?

7 * 4 = 28

75 x 28 + the additional 112

If is the hypotesis, the first part of the conditional statement, and then is the conclusion of the statement.

So, the statement in if-then form.

If angles share a common vertex and a common side, they are adjacent.

Answer:

3.375 or 3 3/8 or 27/8 (all the same answer just in different forms)

Step-by-step explanation:

3/8 x 9 (or 9/1)

if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.

All tests that make use of the F-distribution are collectively referred to as "F Tests." The F-Test to Compare Two Variances is often what is meant when the term "F-Test" is used. However, a number of tests, including regression analysis, the Chow test, and the Scheffe test, use the f-statistic. If we are conducting an F-Test, we might employ a variety of technological tools. since doing an F-test manually while accounting for variations is a difficult and time-consuming operation.

if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.

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1 yard = 36 inches

in order to change yard into inches you multiply how many yards you need to solve for by 36.

36 yards = 1,296 inches

Answer:

1,296 inches

In each yard is 3 feet, and there are 12 inches in 1 foot.

Multiply the amount of yards by itself to solve.

\(36 * 36 = 1,296~in.\)

__________________________________________________________

Ask in comments box.

Answer:

The answer is A.

Step-by-step explanation:

I hope this helps!

a) The  two equations in terms of x and y: one for the perimeter and one for the area of the rectangle are:

y = 0.5x + 3.5

6y + 3 = x² + 14x + 48

b) The area and perimeter of the rectangle are:

Perimeter = 30 m

Area = 15 m²

The formula to find the area of a rectangle is:

Area = Length * Width

The formula to find the perimeter of a rectangle is:

Perimeter = 2(Length + Width)

We are given that:

Perimeter = 8y meters

Area = (6y + 3) square meters

From the image, we see that:

Length = x + 6

Width = x + 8

Thus:

Perimeter equation is:

8y = 2(x + 6 + x + 8)

8y = 4x + 28

y = 0.5x + 3.5

Area equation is:

6y + 3 = (x + 6)(x + 8)

6y + 3 = x² + 14x + 48

Thus:

6(0.5x + 3.5) + 3 = x² + 14x + 48

3x + 24 = x² + 14x + 48

x² + 11x + 24 = 0

Using quadratic equation calculator gives:

x = -8 or -3

Thus, we will use x = -3 and we have:

Length = -3 + 6 = 3 m

Width = -3 + 8 = 5 m

Perimeter = 2(3 + 5) = 30 m

Area = 3 * 5 = 15 m²

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Answer:

810 m

Step-by-step explanation:

Split the polygon into two parts

(Small and Big rectangle)

SR : 18(18+3) = 378

BR : 18(3+3+18) = 432

378+432 = 810

Hope this helps :)

Answer:

the graph that represents a linear are right and a

The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)

A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.

On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.

To justify the above answer, we state the linear equation above:


3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have

3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have

5a -3 = 5a -3

Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.

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where r = 19 feet, h = 40 feet, and θ varies from 0 to 8π (4 complete revolutions) as t varies from 0 to 4.

An equation is a mathematical statement that shows the equality of two expressions, which are separated by an equals sign (=). An equation can have variables, constants, coefficients, and operators. The variables are represented by letters, and their values can change depending on the context of the problem. The constants are fixed values, and the coefficients are the numbers that multiply the variables. The operators are mathematical symbols that indicate the operation to be performed, such as addition (+), subtraction (-), multiplication (*), division (/), and exponentiation (^). Solving an equation means finding the value(s) of the variable(s) that satisfy the equation.

Given by the question.

Let's start by defining the necessary parameters. The radius of the staircase is given as 19 feet, and the height is given as 40 feet. The staircase makes 4 complete revolutions, so the total height of the staircase is 4 times the height of one revolution, which is 40 feet.

To find a vector parametric equation for the helical path, we need to consider the circular motion around the center axis, as well as the motion along the axis. Let's define the following parameters:

r: radius of the staircase (19 feet)

h: height of one revolution (40 feet)

θ: angle of rotation around the center axis (in radians)

z: height along the center axis

The circular motion around the center axis can be described by the following parametric equation:

x = r cos(θ)

y = r sin(θ)

z =???

To find the equation for z, we need to consider the motion along the center axis. Since it takes one hour to stroll up one revolution, and there are 4 revolutions in total, the time it takes to stroll up the entire staircase is 4 hours. Therefore, we can use t as a parameter that varies from 0 to 4, and define z as:

z = (h/4) t

Note that we divide h by 4 to scale the parameter t to the interval [0,4].

Putting it all together, the vector parametric equation for the helical path is:

r(t) = <r cos(θ), r sin(θ), (h/4) t>

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Answer:

Since the equation is addition, reverse it into subtraction. 210-53.715-51.3-52.62= 52.365. You can add 53.715 by 51.3 by 52.62 by 52.365 to check your answer, and it will be 210 so the 4th runner ran 52.365 seconds.

i also got this question but i figured it out lol

1)

The axis of symmetry is x = -6.

2)

Vertex is (-6, 26).

3)

f(x) has a maximum value.

4)

f(x) is concave down.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

f(x) = -x² - 12x - 10

This is in the form of ax² + bx + c.

a = -1, b = -12, c = -10

The axis of symmetry is x = -b/2a

x = 12/(-2)

x = -6

Now,

f(x) = -x² - 12x - 10

f(x) = -(x² + 12x + 10)

f(x) = - { (x² + 12x + 36) - 36 + 10}

f(x) = -(x + 6)² + 26

This is in the form of f(x) = a (x - h)² + k

a = -1, h = -6, k = 26

Vertex = (h, k) = (-6, 26)

Now,

f(x) = -x² - 12x - 10

f'(x) = -2x - 12

f''(x) = -2

It is a negative value.

This means f(x) has a maximum value.

Now,

From the graph, we see that f(x) is concave down.

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The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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Answer:

Hema - 9 stickers Rekha - 21 stickers

Step-by-step explanation:

Total Number of stickers given - 30

Ratio of stickers divided between Hema and Rekha - 3:7

Let the number of stickers Hema have be 3x

Let the nunber of stickers Rekha have be 7x

According to question,

3x+7x=30

10x=30

x=30/10

x=3

Therefore,

Number of stickers Hema got = 3x

= 3*3

= 9

Number of stickers Rekha got = 7x

= 7*3

= 21

Hence,

Hema will get 9 stickers

Rekha will get 21 stickers

Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

Answer:

4

Step-by-step explanation:

Answer:

4, -8

Step-by-step explanation:

Answer: The answer is <-4, -8>

Step-by-step explanation:

Answer:

Step-by-step explanation:

X: -2, -1, 0, 1, 2,...

Y: -2, -1, 0, 1, 2,...

(y=x)

Answer:

I believe you mean algebra and inverses when you change it to solve inequalities.

Step-by-step explanation:

Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")

At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.

So, -3 + 4 is the same thing as 3 - -4.

3 - 4 = -1

-3 + 4 = 1

Tip: When subtracting a negative number, the answer is likely to go up instead of down.

I hope this helps! I did my best :)

Answer:

Find the perimeter of a park that measures 7 miles by 910 miles. Get the answers you need, now! ... Advertisement tasha005111 is waiting for your help. Add your answer and earn points. kaylapoo34 kaylapoo34 Answer: the answer is 130. Step-by-step explanation: ... 15 Niles and Bob sailed at the same time for the same length of time.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

Im thinking its y=-2x but Im not 100% sorry if its wrong

Answer:Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3-- A

Step-by-step explanation:

Step 1

In solving 3b + 8 ≥ 14

we first  subtract both sides by 8, which will give

3b+ 8 -8 ≥ 14-8

3b  ≥ 6

Step 2

Then, divide both sides  by 3----Since  we are multiplying by a positive number, 3, the inequalities sign  will not change but will still remain the same.

3b/3  ≥ 6/3

To give answer as b ≥ 2.

Answer:

A

Step-by-step explanation:

Answer:

10^8 choices

Step-by-step explanation:

You have 10 numbers to choose from for each digit of the code.

There are 8 digits of the code.

You have 10*10*10*10*10*10*10*10 = 10^8 choices in total.

Number of possible codes are  \(10^{8}\)

In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements

Given,

Number of digits in passcode = 8

The numbers 0-9 may be used for any digit. Therefore total of 10 numbers

Here repetition is allowed.

Therefore, each of the 8 vacant place can be filled in the succession of 10 different ways

Number of possible codes are = 10×10×10×10×10×10×10×10 = \(10^{8}\)

Hence, the number of possible codes are  \(10^{8}\)

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