You want to invest $1000. List at least two terms (variables) you would consider regarding your investment and explain how that will affect how much you will earn

Answer:

1/6

Step-by-step explanation:

Because there is only a side that has the number 4 in a total of 6 sides

Answer:

8√3

Step-by-step explanation:

pythagoras theorem

16^2=8^2+p^2

p= √(16^2-8^2)

= 8√3

Answer:

P = 8√3

Step-by-step explanation:

Apply the Pythagoras Theorem:

\(\displaystyle{\text{opposite}^2+\text{adjacent}^2=\text{hypotenuse}^2}\)

Commonly written as:

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

From the attachment, we know that opposite = 8 and hypotenuse = 18. Solve for the adjacent (P). Therefore:

\(\displaystyle{8^2+P^2=16^2}\\\\\displaystyle{64+P^2=16^2}\)

Subtract 64 both sides to isolate P:

\(\displaystyle{P^2=16^2-64}\\\\\displaystyle{P^2=256-64}\\\\\displaystyle{P^2=192}\)

Square root both sides:

\(\displaystyle{\sqrt{P^2} = \sqrt{192}}\\\\\displaystyle{P=\sqrt{192}}\)

192 can be factored as 8 x 8 x 3. Therefore:

\(\displaystyle{P=\sqrt{8 \times 8 \times 3}}\\\\\displaystyle{P = 8\sqrt{3}}\)

Thus, P = 8√3

Interior angles on the same side The same-side interior angles are additional if a transversal connects two parallel lines.

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.

given

The Isosceles Triangle Theorem's opposite is also accurate.

A triangle's opposite sides are congruent if two of the triangle's angles are.

Each right angle exists when two angles are complementary and congruent. Interior angles on the same side The same-side interior angles are additional if a transversal connects two parallel lines.

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a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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Answer:

Step-by-step explanation:

It starts out at 1.2 feet. In math, dilation means make larger or smaller, so I have to give you both answers. Check with your instructor to see what the question intends.

Larger

1.2 * 2.5 = 3

Smaller

1.2 / 2.5 = 0.48

Answer:

beef

Step-by-step explanation:

beef is the answer to everything

Step-by-step explanation:

\( {3}^{2} + {3}^{2} = 2 \times {3}^{2} = 18 \\ \sqrt{18} = 4.24 \: km\)

4x4=16 16x3=48 so I think the answer is 48

Answer:

m = 1; n = 0.5

Step-by-step explanation:

5m - 2n = 4; m - 4n = - 1

Answer:

OKAY!! :D

Step-by-step explanation:

Answer:

sorry cant

Step-by-step explanation:

The largest amount of money she could have is: (3 x 25 cents) + (3 x 10 cents) + (2 x 5 cents) = 75 cents + 30 cents + 10 cents = 115 cents or $1.15.

To find the largest amount of money Tasha could have with 8 coins in her pocket, we need to consider the different combinations of coins she could have. Since she has no more than 3 of any coin, the possibilities are:

- 3 quarters, 2 dimes, 1 nickel, 2 pennies = $0.81
- 3 quarters, 2 dimes, 2 nickels, 1 penny = $0.80
- 3 quarters, 2 nickels, 3 pennies = $0.78
- 3 quarters, 1 dime, 3 nickels, 1 penny = $0.76
- 3 quarters, 1 dime, 2 nickels, 3 pennies = $0.74
- 3 quarters, 1 dime, 1 nickel, 4 pennies = $0.73
- 2 quarters, 3 dimes, 1 nickel, 2 pennies = $0.70
- 2 quarters, 3 dimes, 2 nickels, 1 penny = $0.69
- 2 quarters, 2 dimes, 3 nickels, 1 penny = $0.68
- 2 quarters, 2 dimes, 2 nickels, 2 pennies = $0.67

Therefore, the largest amount of money Tasha could have is $0.81 with 3 quarters, 2 dimes, 1 nickel, and 2 pennies.

To maximize the amount of money Tosha could have with 8 coins and no more than 3 of any coin, she should carry the coins with the highest denominations. In this case, she can have 3 quarters (25 cents each), 3 dimes (10 cents each), and 2 nickels (5 cents each). The largest amount of money she could have is:

(3 x 25 cents) + (3 x 10 cents) + (2 x 5 cents) = 75 cents + 30 cents + 10 cents = 115 cents or $1.15.

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By using trigonometric relations, we see that the horizontal distance is 196.6.

Remember the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus).

In this case, the adjacent cathetus is the horizontal distance between the towers, the opposite cathetus is 40, and the angle is 11.5°.

Then we can write:

tan(11.5°) = 40/x

Solving for x:

x = 40/tan(11.5°)

This is the equation that you got, and it gives:

x = 40/tan(11.5°) = 196.6

Why you don't get this?

The problem may be that your calculator is in radians instead of degrees. It should say "DEG" instead of "RAD" if you want to evaluate trigonometric functions in degrees.

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Answer:

What is the value of p if 5p+3=15

Answer:

When the product of 5 number and a number is added to 3 result is 15. Find the number.

Answer:

mean

Step-by-step explanation:

9, 10, 10, 10, 11, 12, 12, 13, 15

mean = 11.3  is the sum of the number divided by number of terms

median=11 is the middle value

range= 6 is the difference between the largest and smallest amount

mode=10 is the term that occurs the most

Answer:

The mean

Step-by-step explanation:

Add all the numbers together and divide by the amount of numbers to get the mean, in this case it is 105/9. The mean is 11 and a third.

The median is the middle of the set of numbers. I usually go about getting a median by sorting the numbers from smallest to largest and then removing a number from each end until there are only one or two numbers left. In this case, there is one number remaining: 11. The median is 11.

The range is pretty simple, it's just the largest number of the group subtracted by the smallest. In this case it is 15-9. The range is 6.

The mode is the most frequently occurring number in the group. Just count up how many times each number appears, pick the one with the most, and you have your answer. The mode is 10.

The question is asking which one of these is the largest. That would be the mean, 11 and a third.

Answer:

the 2 arrow

-sorry I don't really know what I meant by notation

Step-by-step explanation:

--------->->---------- (line a)

--------->->---------- (line b)

line is parallel to line b which is shown with the arrows this means that they cannot intercept no matter how long the line goes. it also means they have the same slope.

The orthogonal complement S is the set of all vectors orthogonal to the subspace S in R5 whose third and fourth components are zero. To find S, we need to find vectors such that vu = 0 for all u in S using the dot product. The orthogonal complement S has dimension three and a basis for it is f1, f2, f3, where f1 = (1,-1,0,0,0) f2 = (0,0,1,0,0) f3 = (0,0,0,1,0).

Let's begin by defining the orthogonal complement S⊥, which is the set of all vectors orthogonal to the subspace S in question. The subspace S is defined as the set of all vectors in R5 whose third and fourth components are zero. Let's go through the steps to find S⊥.

Step 1: Determine the dimensions of S The dimension of the subspace S is two. This is because the subspace consists of vectors whose third and fourth components are zero. Therefore, only the first, second, fifth components are nonzero, making up a 3D subspace. Since S is a subspace of R5, the remaining two components can also take any value and thus the dimension of S is 2.

Step 2: Determine a basis for S To determine a basis for S, we can use the fact that the subspace is defined as all vectors whose third and fourth components are zero.

Therefore, a basis for S is given by {e1, e2}, where e1 = (1,0,0,0,0) and e2 = (0,1,0,0,0).

Step 3: Find the orthogonal complement S⊥ To find S⊥, we need to find all vectors orthogonal to S. This means we need to find vectors v such that v⋅u = 0 for all u in S. To do this, we can use the dot product: v⋅u = v1u1 + v2u2 + v3u3 + v4u4 + v5u5= v1u1 + v2u2 + v5u5We want this to be zero for all u in S. This implies:v1 + v2 = 0 andv5 = 0Therefore, S⊥ is given by the set of all vectors in R5 of the form (a,-a,b,c,0), where a, b, and c are arbitrary constants. The orthogonal complement S⊥ has dimension three, and a basis for it is {f1, f2, f3}, where:f1 = (1,-1,0,0,0)f2 = (0,0,1,0,0)f3 = (0,0,0,1,0)The above result gives us a complete characterization of S⊥.

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Home owners loan corporation(HOLC) aims and objectives is to assist home owners who are unable to pay their mortgage loan.

Home owners loan corporation(HOLC) can be defined as the corporation whose sole aims and objectives is to help or assist home owners who are unable to pay their mortgage loan.

This corporation play an important role as they help to prevent mortgage home owner who have the tendency of losing their homes  or at risk of losing their home from losing their homes and they as well give out long-term mortgage loans to homeowners who are at risk of losing  of their property.

Therefore Home owners loan corporation(HOLC) aims and objectives is to assist home owners who are unable to pay their mortgage loan.

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When interpreting the expression as \((tanx)^{(sinx)\), the limit using L'Hospital's Rule is -∞ as x approaches 0+. However, when interpreting the expression as\(tan(x^{sinx})\), the limit is not well-defined due to the indeterminate form of 0^0.

To calculate the limit using L'Hospital's Rule, let's consider both interpretations of the expression and find the limits for each case:

Case 1: lim\((tanx)^{(sinx)\) as x approaches 0+

Taking the natural logarithm of the expression, we have:

\(ln[(tanx)^{(sinx)}] = sinx * ln(tanx)\)

Now, we can rewrite the expression as:

\(lim [sinx * ln(tanx)]\)as x approaches 0+

Applying L'Hospital's Rule, we differentiate the numerator and denominator:

\(lim [(cosx * ln(tanx)) + (sinx * sec^{2}(x))] / (1 / tanx)\) as x approaches 0+

Simplifying the expression:

\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * tanx\) as x approaches 0+

\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * (sinx / cosx)\) as x approaches 0+

\(lim [(cosx * ln(tanx) + sinx * sec^{2}(x)) / cosx] * sinx\) as x approaches 0+

\(lim [ln(tanx) + (sinx / cosx) * sec^{2}(x)] * sinx\) as x approaches 0+

\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+

Since lim ln(tanx) as x approaches 0+ = -∞ and\(lim (tanx * sec^{2}(x))\) as x approaches 0+ = 0, we have:

\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+ = -∞

Therefore, the limit of \((tanx)^{(sinx)\) as x approaches 0+ using L'Hospital's Rule is -∞.

Case 2: lim\(tan(x^{sinx})\)as x approaches 0+

We can rewrite the expression as:

lim\(tan(x^{(sinx)})\) as x approaches 0+

This expression does not have an indeterminate form of \(0^0\), so we do not need to use L'Hospital's Rule. Instead, we can substitute x = 0 directly into the expression:

lim \(tan(0^{(sin0)})\) as x approaches 0+

lim\(tan(0^0)\)as x approaches 0+

The value of \(0^0\) is considered an indeterminate form, so we cannot determine its value directly. The limit in this case is not well-defined.

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Answer:

Step-by-step explanation:

Area is equal to the product of the length and the width

The length is 10 inches and the width is 5 inches.

Thus the Area = 10in * 5in = 50\(in^{2}\)

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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The average value calculated in Part 1 represents the average proportion of residents under 18 in the given dataset, but it does not represent the proportion of the total Bronx population that is under 18.

Part 1:
To find the average value of the "Pop. prop. under 18" column in the bronx_pop_density data frame, you can use the command np.mean(bronx_pop_density['Pop. prop. under 18']).

The average value is approximately 0.26007274850451456.

Part 2:
No, the average value calculated in Part 1 does not represent the proportion of the total Bronx population that is under 18. The reason is that taking the average of the values in the "Pop. prop. under 18" column only provides the average value of the proportion of residents under 18 for the given data set (bronx_pop_density). It does not consider the entire Bronx population.

To calculate the proportion of the total Bronx population that is under 18, you would need to consider the total number of residents under 18 in relation to the total population of the Bronx. Simply taking the average of the proportions in the dataset does not provide an accurate representation of the entire population.

To calculate the proportion accurately, you would need to have data on the total population of the Bronx and the total number of residents under 18. Then, you can divide the total number of residents under 18 by the total population to get the proportion.

In summary, the average probability value calculated in Part 1 represents the average proportion of residents under 18 in the given dataset, but it does not represent the proportion of the total Bronx population that is under 18.

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We are given a matrix A and a scalar λ and asked to show that λ is an eigenvalue of the matrix and determine a basis for its eigenspace.

To determine if λ is an eigenvalue of matrix A, we need to check if there exists a non-zero vector v such that Av = λv. In other words, if multiplying matrix A by vector v results in a scaled version of v. Given the matrix A = [6, 9; -10, 63] and scalar λ = 5, we can find the eigenvectors by solving the equation (A - λI)v = 0, where I is the identity matrix. Substituting the values, we have: [6-5, 9; -10, 63-5]v = 0. Simplifying the equation, we get: [1, 9; -10, 58]v = 0. Solving the system of linear equations, we can find the eigenvectors v corresponding to the eigenvalue λ = 5.

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To compare the proportional relationships, the amount earned by walking per mile should be used to find the unit rate. By comparing the three people, we conclude that Beth>Manuel=Petra.

Given that the equation y = 20x. This equation represents the amount of money raised by Beth for walking x miles.

In order to compute for Manuel, we must first divide the money raised by miles walked. Then, $45÷3=$15. From this, we can conclude that Manuel raises about $15 per mile of walking. This is the same as Petra.

So we have to compare both Manuel and Petra with Beth. Rewriting the equation with respect to Manuel and Petra, we get y=15x. Now compare this equation with the given equation, then,15x < 20x. Therefore, Beth earns more money while walking than Manuel and Petra.

The complete question is -

Beth, Manuel, and Petra are collecting sponsors for a walkathon. The equation y=20x  represents the amount of money Beth raises for walking x miles. The table shows the relationship between the number of miles Manuel walks and the amount of money he will raise. Petra will earn $15 for each mile that she walks. a. In order to compare the proportional relationships, what quantities should you use to find the unit rate? b. Compare the amount of money raised per mile by the three people.

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Answer: About 12 of those 60 students are boys.

To find the percent, you'll convert 20% to a decimal.

20 / 100 = 0.2

Then, multiply 60 by 0.2

0.2 × 20 = 12

That's one way, another way is:

Convert 20% to a fraction.

20% = 1/5

Then multiply 60 by 1/5.

60 × 1/5 = 60/5

Lastly, divide 60 by 5

60 / 5 = 12.

Hence, 12 is the answer.

Any questions? Comment down.

Given the function h(x) = x² - 7x - 8. The extremum of the function is the minimum one and its value is h(x) = -32.5

The relation between symmetry of the graph and the extremum point is:

Suppose x = p is the line equation of the graph's symmetry, then f(p) is the extremum value.

The given function is:

h(x) = x² - 7x - 8

Find the x-intercepts:

h(x) = 0

x² - 7x - 8 = 0

(x + 1) (x - 8) = 0

x = -1 or x = 8

The symmetry lies in the middle of x-intercepts. Hence, the symmetry occurs at:

x = (-1 + 8) / 2

x = 3.5

The extremum point is:

h(3.5) = 3.5² - 7 x 3.5 - 8 = -32.5

Since the quadratic term x²  has a positive coefficient, the graph is open downward, hence the extremum point is the minimum one.

Complete question:

Find the extremum of each function using the symmetry of its graph. classify the extremum of the function as a maximum or a minimum and state the value of x at which it occurs. h(x) = x² - 7x - 8

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Answer:

1)            3x^2  +  11x^3  +  4x^2  +  8x  -  8

                             X^2     3X       -2  

  Box (1):  3x^2    3x^4    Px^3    -6x^2

  Box (2):  2x       2x^3    6x^2    -4x

  Box (3):   4         4x^2    12x       -8

2)                  2x^2  +  7x  -  15

                            2x       -3      

     Box (1):     x      2x^2    -3x

     Box (2):    5     10x      -15

     2x^2  -  3x  +   10x  -  15

Step-by-step explanation:

Box Method: Solved

Hope it helps!

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Renu's present age is 10 years and her mother is 40 years.

Let's take Renu's present age as x years.

And Renu's mother present age as 4x years.

So, after five years,

Renu's age = x+5 years

Renu's mother age = 4x+5 years

According to the question,

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

x = 10

Therefore, Renu's present age is 10 years and Renu's mother present age is 40 years.

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The approximate probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.20 is 0.23.

The proportion of fish with high levels of mercury can be found using the formula np and this can be used to find the mean. The standard deviation can be found using the formula sqrt(np(1-p)). With these formulas, the problem can be solved.

The approximate Probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.20:

According to the problem, there are 250 fish that were randomly sampled from the population of edible freshwater fish and the problem asks to find the approximate probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.20.

Let’s first calculate the mean of the proportion of fish with high levels of mercury using the formula np. n = 250 and p = 0.20

np = 250 x 0.20 = 50

The mean is 50.

Let’s now calculate the standard deviation using the formula √(np(1-p)). n = 250 and p = 0.20

Standard deviation =√(250 x 0.20 x (1 - 0.20))

= √(40) = 6.324

Let X be the proportion of fish with high levels of mercury. To find the probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.20, we need to find P(X > 0.20 + 2 x 6.324/250)

P(X > 0.246)

Using the normal distribution table, we find that P(Z > 0.746) = 0.2266 approximately.

Therefore, the approximate probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.20 is 0.23.

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It is C 50 Hopefully this is right

Answer:

60 or D

Step-by-step explanation:

The Range is the difference between the lowest and highest values.

80-20= 60