Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in the middle of the logo centered at (0,0). The circle passes through the point (6. 3,1. 6). Approximately what percentage of the logo does the circle cover?

Answer:

10

Step-by-step explanation:

2/6 is 1/3 i third of 30 is 10

Answer:

10 strikes

Step-by-step explanation:

6x5=30

30/5=6

2x5=10

10 strikeouts

The surface area of the prism is 108 cm²

A prism is a solid shape that is bound on all its sides by plane faces.

The total surface area of the prism can be found by adding all the the area of the surfaces together.

area of surface 1 = 1/2 bh

= 1/2 ×4× 3

= 6cm²

area of surface 2 = area of surface 1

= 6cm²

area of surface 3 = l×w

= 8×3 = 24 cm²

area of surface 4 = 8×4 = 32cm²

area of surface 5 = 5× 8 = 40cm²

The total surface area = 6+6+24+32+40

= 108 cm²

therefore the surface area of the prism is 108cm²

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Answer:

69

no

U will not get answers on a test noob

Answer:

Step-by-step explanation:

domain includes alll values of x so are from -1 to 2 except 0

[-1, 0) ∪ (0, 2]

Answer: 8575/2

Step-by-step explanation:

The Z-score is calculated by the formula below

Step 2: Substitute the given parameters in the formula

Hence, the z-score of a person who scored 145 on the exam is -0.5

Answer:

arrested and imprisoned.

Nelson Mandela was arrested an imprisoned by the Apartheid regime when he returned from Algeria.

Nelson Mandela was a know nationalist in South Africa and a strong advocate for the liberation of South Africa from the Apartheid  in which the non-white South African's were segregated.

Nelson Mandela was educated in Algeria as a lawyer. When he returned in 1964, he was arrested and imprisoned.

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Answer:

x = -100

Step-by-step explanation:

x/5 = -20

Multiply each side by 5

x/5 * 5 = -20*5

x = -100

Answer:

150 miles

Step-by-step explanation:

If they've completed 60% and have covered 90 miles

We can say

60% = 90 (miles)

We can work out 10% by dividing by 6 on both sides

10% = 15

100% is just 10 times larger

100% = 150

The trip (100% completion) is 150 miles

The values of determinant ,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right| = 72\)

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right| = - 12\)

The given determinant is,

\(\left|\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right| = -6\)

This is possible when we take,

a = -1 , e = 1, i = 6, b = c = 1

And d = g = h = 0

The the determinant becomes,

\(\left|\begin{array}{ccc}-1&1&1\\0&1&1\\0&0&6\end{array}\right|\)

Since this is an upper triangular matrix,

Therefore,

Determinant be the product of diagonal element,

Thus,

⇒  -1x1x6 = -6

Now using these values we can calculate the further given determinants,

Q4: Given that,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right|\)

Therefore put the values of a, b, c, d, e, f, g, h, and i defined above,

\(\left|\begin{array}{ccc}3(-1)&3(1)&3(1)\\0&-1&-1\\0&0&4(6)\end{array}\right|\)

Therefore, Determinant be,

⇒ -3 x  (-1) x 24 = 72

Hence,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right| = 72\)

Q5 : Given determinant is,

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right|\)

put the values of a, b, c, d, e, f, g, h, and i defined above,

we get,

\(\left|\begin{array}{ccc}-1&1&1\\0&2&2\\-3&3&9\end{array}\right|\)

= -1(12) -1(6) + 1(6)

= -12

Hence, The determinant be

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right| = - 12\)

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The complete question is attached below:

The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

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Answer:

Step-by-step explanation:

One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution that is 21% alcohol?

Let us represent

First solution =>x

Second solution => y

System of equations

x + y = 24.....Equation 1

x = 24 - y

26% × x + 11% × y = 21% × 24

= 0.26x + 0.11y = 5.04... Equation 2

Therefore, $22.95 would be the best estimate for the cost of a vehicle to drive through the safari in 2011.

The estimated cost of a vehicle to drive through the safari in 2011, we need to substitute the value of x (number of years since it opened in 2005) as 6 into the regression equation y = 3.648 * 1.182x.

Plugging in x = 6, the equation becomes: y = 3.648 * 1.182 * 6

Calculating the expression: y = 25.849536

Rounding to two decimal places, the estimated cost is approximately $25.85.

Among the given options, the closest value to $25.85 is $22.95 (Option B). Therefore, $22.95 would be the best estimate for the cost of a vehicle to drive through the safari in 2011.

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Answer:

2

Step-by-step explanation:

..............

Answer:

y = 3/4x + 2

Step-by-step explanation:

By looking at the graph, we can easily see that the y-intercept (where the line passes through y) is 2. In the equation y = mx + b. B is the y-intercept. So at the moment, we have, y = mx + 2. Now to find the slope which will take place over "m" all we need is the rise over run. To get this we will look at the points provided, count up the amount to get to the next point above then count to left/right to the point. For this we count up 3 points and 4 points to the right. So we finally get y = 3/4x + 2.

(3/4 = 0.75 if decimal is needed)

The possible values of n are all the factors of 28, which are:

1, 2, 4, 7, 14, 28.

A natural number is a positive integer that is greater than or equal to 1. In other words, it is a whole number that can be used to count objects or elements in a set. Examples of natural numbers include 1, 2, 3, 4, 5, and so on.

It includes all the natural numbers (positive integers) as well as their additive inverses (negative integers). Examples of integers include -3, -2, -1, 0, 1, 2, 3, and so on. Integers are used in a variety of mathematical operations, including addition, subtraction, multiplication, and division.

When we divide 33 by n and get a remainder of 5, we can write this as:

   33 ≡ 5 (mod n)

This means that 33 is congruent to 5 modulo n. In other words, 33 and 5 have the same remainder when divided by n.

We can use modular arithmetic to solve this problem.

When we divide 33 by n and get a remainder of 5, we can write this as:

33 ≡ 5 (mod n)

This means that 33 is congruent to 5 modulo n. In other words, 33 and 5 have the same remainder when divided by n.

We can simplify this expression by subtracting 5 from both sides:

   28 ≡ 0 (mod n)

This means that 28 is congruent to 0 modulo n. In other words, n divides evenly into 28.

Therefore, the possible values of n are all the factors of 28, which are:

1, 2, 4, 7, 14, 28

So these are all the possible values of n that satisfy the condition that when you divide 33 by n, the remainder is 5.

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Answer:

it was helpful to you ✌︎✌︎✌︎✌︎✌︎✌︎✌︎➪♧︎︎︎

\(4 {x}^{2} - 25 {y}^{2} \\ (2 x) {}^{2} - {(5y)}^{2} \\ (2x + 5y)(2x - 5y)\)

Answer:

\( = 1)(2x - 5y {)} \times (2x + 5y)\)

Step-by-step explanation:

\(1) {4x}^{2} - 25 {y}^{2} \)

\( = {2}^{2} {x}^{2} - 25 {y}^{2} \)

\( = {2}^{2} {x}^{2} - {5}^{2} {y}^{2} \)

\( = (2 {x)}^{2} - {5}^{2} {y}^{2} \)

\( = ( {2x)}^{2} - (5 {y)}^{2} \)

\( = (2x - 5y) \times (2x + 5y)\)

\(2)4x^{2} - 35 {y}^{2} \)

\( = {2}^{2} {x}^{2} - 5y \times 7 {y} \)

\( =(2x {)}^{2} - (5y \times 7y)\)

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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Answer:

Step-by-step explanation:

Hayley: y = 10x + 155

Hank: y = -15x + 230

10x + 155 = -15x + 230

25x + 155 = 230

25x = 75

x = 3 weeks

The next step in constructing a regular hexagon is With compass setting the same as line segment PA, place the compass at C and draw an arc that intersects the circle.

First set the compass width to be equal to that of the radius of the circle. This will give you the point A on the circle.

Using the same width, place the compass on point A and make an arc at point B. Use the same width to make an arc at C by placing the compass on B.

Then, to get to the next step, use the same width as segment PA which is the radius, and place the compass at C to draw another arc.

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Missy rode her bicycle 16 miles in 1 1 4 hours. Her average speed in miles per hour is 12.8 mph

Calculating average speed involves dividing the whole distance traveled by the total time it takes to cover that distance.

Speed is the rate of movement of anything at a specific time. Average speed refers to the average speed during the course of a journey. Typically, average speed refers to the speed of moving objects like cars, trains, and aircraft. It is frequently expressed in kilometers per hour (kph) or miles per hour (mph) (kph).

In many different disciplines, such as physics, astronomy, and transportation, average speed is employed.

As we know,

average speed is distance traveled divided by time taken

⇒ average speed = 16 miles × 5/4

⇒ average speed = 12.8 miles/hour

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Answer: 128

Step-by-step explanation:

\(4^3 = 4*4*4 = 16*4 = 64\)

\(8^2 = 8*8 = 64\)

\(64+64 = 128\)

Answer:

Linear functions apply to real world problems that involve a constant rate. Learning Objectives. Apply linear equations to solve problems about rates of change ... For example, the rate at which distance changes over time is called velocity.

Step-by-step explanation:

The confidence interval estimate of -$850 to $1,140 for the difference between the mean starting salaries of spring and fall graduates from a public university suggests that there is no statistically significant difference between the two populations.

Since the interval contains both positive and negative values, it suggests that the difference in starting salaries between the two groups could be negative, positive, or zero, with a certain level of confidence. The 95% confidence level means that if we were to repeat this study many times, in 95% of cases, the true difference in population means would fall within this interval.

Thus, it can be concluded that there is no strong evidence to suggest that starting salaries for spring graduates are significantly different from those for fall graduates. This information may be useful for university administrators in planning the academic calendar or for students in deciding when to complete their studies. However, other factors such as industry trends and individual qualifications should also be considered when making career decisions.

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Answer:

24

Step-by-step explanation:

48 divided by 2 is 24.

The given equation can be solved for the value of x and y

i.e. x = (3y - 7)/4 & y = (4x + 7)/3.

What is the linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

The equation 4x=3y-7

So, here we can solve this equation for the x as well as y equals,

Firstly we will solve for x:

4x = 3y - 7

dividing the whole equation by 4 we get,

4x/4 = (3y - 7)/4

x = (3y - 7)/4

Similarly, we will solve for y:

4x = 3y - 7

3y = 4x + 7

dividing the whole equation by 3 we get,

3y/3 = (4x + 7)/3

y = (4x + 7)/3

Hence, the given equation can be solved for the value of x and y

i.e. x = (3y - 7)/4 & y = (4x + 7)/3

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Answer: 11.4

Step-by-step explanation:

No, two orthogonal vectors cannot be linearly dependent. Proof: Let's suppose we have two orthogonal vectors, u and v. This means that their dot product is zero: u · v = 0.

Now, let's suppose that u and v are linearly dependent. This means that one of them is a scalar multiple of the other: u = k · v or v = k · u, where k is some non-zero scalar.

If we substitute u = k · v into the dot product formula, we get:
u · v = (k · v) · v
u · v = k · (v · v)
u · v = k · ||v||^2

Since u · v = 0 (because they are orthogonal), we have:
0 = k · ||v||^2

But k is non-zero, so this means that ||v||^2 must be zero. And ||v||^2 can only be zero if v is the zero vector. But if v is the zero vector, then u and v are not orthogonal.

Therefore, our assumption that u and v are linearly dependent must be false. Hence, two orthogonal vectors cannot be linearly dependent.
No, two orthogonal vectors cannot be linearly dependent. Orthogonal vectors are vectors whose dot product is zero, meaning they are perpendicular to each other. Linear dependence implies that one vector can be written as a scalar multiple of the other vector.

Proof: Let vectors u and v be orthogonal. Then, their dot product u•v = 0. Now, assume they are linearly dependent. In that case, u = kv for some scalar k. Taking the dot product of both sides with v, we get (kv)•v = 0. Since k(u•v) = k(0) = 0, and u•v ≠ 0 because u and v are linearly dependent, it implies k = 0. However, if k = 0, then u = 0v = 0, which is a contradiction as nonzero orthogonal vectors cannot be linearly dependent. Thus, two orthogonal vectors cannot be linearly dependent.

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The concept that means "the way in which the work required to produce a good or service is divided into a number of tasks that are performed by different workers" is Division Of Labor .

The Division Of Labor is to divide the process into a number of tasks, where each task is performed by a separate person or a group of persons.

This concept is applied in systems of mass production and it is one of basic organizing principles of assembly line.

The Breaking down of the work into simple repetitive tasks eliminates the unnecessary motion and limits handling of different tools and parts.

Therefore , dividing the work into number of tasks to produce good is termed as Division Of Labor .

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