On level ground, a vertical rod 12 feet tall casts a shadow 4 feet long, and at the same time a nearby vertical flagpole casts a shadow 12 feet long. how many feet tall is the flagpole?

You can minimize the risk from your investments by investing in a variety of investment options. The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy. Your investment portfolio should contain different types of investments so that the risk would be spread to these investments.

By investing in a variety of investment options will minimize the risk from your investments.

Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time

We need to find in which way we can  minimize the risk from your investments.

Before you begin to invest, think about what returns you’re realistically expecting and be clear on what your investment goals are.

The greater the potential returns, the higher the level of risk.  

The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy.

So one can minimize the risk from your investments by investing in a variety of investment options. Your investment should contain different types of investments so that the risk would be spread to these investments.

Hence, By investing in a variety of investment options will minimize the risk from your investments.

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Answer:

Effect of ingrediant R on freshness

Effect of Ingredient S on freshness

Effect of ingrediant T on freshness

Step-by-step explanation:

X Effect of ingrediant P on freshness

X Effect of ingrediant Q on freshness

* Effect of ingrediant R on freshness

* Effect of Ingredient S on freshness

* Effect of ingrediant T on freshness

Answer on edge

The sum of the finite arithmetic series 26 + 29 + ... + 44 is 245. The sum of the series 7.6 + 6.3 + ... + (-1.5) is 24.4.

To solve these problems, we will use the formula for the sum of a finite arithmetic series, which is given by S = n÷2  × (a₁ + aₙ), where S represents the sum of the series, n is the number of terms, a₁ is the first term, and aₙ is the last term.

Problem 1:

The series is: 26, 29, 32, 35, 38, 41, 44. First, we find the number of terms (n). Since the common difference (d) is 3, we have n = (44 - 26)÷3 + 1 = 7. Now, apply the formula to find the sum: S = 7÷2 × (26 + 44) = 245.

Problem 2:

The series is: 7.6, 6.3, 5, 3.7, 2.4, 1.1, -0.2, -1.5. Here, d = -1.3 and n = 8. So the sum is: S = 8÷2 × (7.6 - 1.5) = 24.4.

The sixth term of an arithmetic sequence, with a fifth term of 11 and a common difference of 4, is calculated to be 15.

The student's question is about determining the sixth term of an arithmetic sequence when the fifth term and the common difference are given. The fifth term is 11, and the common difference is 4. To find the sixth term, we follow the definition of an arithmetic sequence where each term is equal to the previous term plus the common difference.

Arithmetic sequence formula

:

Tn = T(n-1) + d

Where:

Applying this formula to find the sixth term:

Sixth term = Fifth term + Common difference

= 11 + 4

= 15

Therefore, the sixth term of the sequence is 15.

Answer:

Option D is correct

[tex]y = 9.50x[/tex]

Step-by-step explanation:

Here, y represents total earnings in dollars and  x represents hours worked.

As per the statement:

To find which equation models the wages of someone who makes $9.50 an hour.

[tex]\text{"\$9.50 an hour"}[/tex] translated to 9.50x

then;

the total earning in dollars we get;

[tex]y = 9.50x[/tex]

Therefore, an equation [tex]y = 9.50x[/tex] models the wages of someone who makes $9.50 an hour

The answer of the following mathematical expressions are,

1. True

2. False

3. C. 5

4. A. 17.5 in

5. B. x = 13

Let's go through each of the expression ,

Is -7 + 9 = -9 + 7 true, false, or open?

It is option A. True

Both sides of the equation simplify to 2, so the equation is true.

Is 4x - 3 = 19 true, false, or open?

It is option B. False

When you solve for x, you get 4x = 22, and then x = 5.5. Therefore, the equation is false.

Which of the following is a solution to the equation 16 = 4x - 4?

The value of x is option C. 5

When you solve for x, you get 4x = 20, and then x = 5. So, x = 5 is a solution to the equation.

An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 inches. What should the width of the model be?

The width is equal to option A. 17.5 inches

If the length is 2.4 times the width, then the width should be 42 inches / 2.4 = 17.5 inches.

Use mental math to determine the solution to x - 3 = 10.

the value of x is option B. x = 13

Adding 3 to both sides of the equation gives x = 10 + 3, which is x = 13.

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Answer:

For [tex]2log2x=4[/tex] , x = 50

Step-by-step explanation:

Given : [tex]2log2x=4[/tex]

We have to find the value of x.

Consider the given [tex]2log2x=4[/tex]

Divide both side by 2, we have,

[tex]\frac{2\log _{10}\left(2x\right)}{2}=\frac{4}{2}[/tex]

Simplify, we have,

[tex]\log _{10}\left(2x\right)=2[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \:a=\log _b\left(b^a\right)[/tex]

[tex]2=\log _{10}\left(10^2\right)=\log _{10}\left(100\right)[/tex]

[tex]\log _{10}\left(2x\right)=\log _{10}\left(100\right)[/tex]

When log have same base, we have,

[tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\quad \Rightarrow \quad f\left(x\right)=g\left(x\right)[/tex]

We have,

[tex]2x=100[/tex]

Divide both side by 2, we have,

[tex]x=50[/tex]

Thus, For [tex]2log2x=4[/tex] , x = 50

Answer:

If this is right then yw :)

Step-by-step explanation:

Answer:

[tex]296^{\circ}[/tex]

Step-by-step explanation:

It is given that figure shows circle C with diameter LM and inscribed ∠LMN and    m∠LMN=32° .

We know that the angle formed at the center is double the angle formed on the vertex that is an inscribed angle, thus on joining NC, we have

[tex]{\angle}NCL=2({\angle}LMN)[/tex]

Substituting the given values, we have

[tex]{\angle}NCL=2(32^{\circ})[/tex]

[tex]{\angle}NCL=64^{\circ}[/tex]

Now, [tex]minor{\angle}LCN+major{\angle}LCN=360^{\circ}[/tex] (complete angle)

[tex]major{\angle}LCN=296^{\circ}[/tex]

Therefore, the measure of the arc LMN is [tex]296^{\circ}[/tex].

Answer:

0.989

Step-by-step explanation:

A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, the common ratio is 0.989

The required explicit formula to represent the amount of beach remaining each year will be y = a(0.011)^x

Exponential functions are inverse of trigonometry functions. The standard form of exponential function is expressed as:

y = ab^x

b is the rate

Given;

Rate = 1.1% = 0.011

The required explicit formula to represent the amount of beach remaining each year will be y = a(0.011)^x

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Answer: GH =25 in.

Step-by-step explanation:

Given: [tex]ABCD\sim EFGH[/tex]

We know that if two polygons are similar then their corresponding sides are proportional.

Thus, [tex]\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}[/tex]

Since, AD=30 in. , EH=50 in. , and CD=15 in.

Then we have ,

[tex]\frac{CD}{GH}=\frac{AD}{EH}\\\\\Rightarrow\frac{15}{GH}=\frac{30}{50}\\\\\Rightarrow\ GH=\frac{50\times15}{30}\\\\\Rightarrow\ GH=25\ in.[/tex]

By calculating the total earnings per day and earnings per hour for Worker A and Worker B, we deduce that Worker A earns more per day than Worker B but earns less per hour than Worker B.

To answer this question, we first need to calculate the total earnings per day and then the earnings per hour for both Worker A and Worker B.

For Worker A, the total earnings per day can be calculated as: 10 widgets/day * $8.10/widget = $81/day. For Worker B, the total earnings per day can be calculated as: 8 widgets/day * $8.40/widget = $67.20/day.

Therefore, we can see that Worker A earns more per day than Worker B.

Next, we calculate the earnings per hour. For Worker A, the earnings per hour amount to: $81/day ÷ 9 hours/day = $9/hour. For Worker B, the earnings per hour amount to: $67.20/day ÷ 7 hours/day = $9.60/hour.

Thus, Worker B earns more per hour than Worker A.

Given the calculations, the correct statement is B. Worker A earns more per day than Worker B but less per hour than Worker B.

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Answer:

Just took the test the answers are -6 and 4 for anyone else wondering! :)

Step-by-step explanation:

PS. Use the site called "Desmos" and type your function in the box and just find where it crosses the x axis!

An asymptote is a line that approaches a curve indefinitely without intersecting it at any finite point. Examples include the line y = 0 for the function y = 1/x, whereas a non-example would be the intersecting line y = x with a parabola y = x^2.

An asymptote is a line that a curve approaches as it heads towards infinity, but never actually reaches.

There are several characteristics of an asymptote that are notable. First, the distance between the curve and the asymptote approaches zero as one moves along the curve towards infinity. However, the curve will never intersect the asymptote at any finite point. There are two main types of asymptotes: vertical and horizontal.

An example of an asymptote is the line y = 0, which is a horizontal asymptote for the function y = 1/x as x approaches infinity.

A common non-example of an asymptote is any line or curve that intersects a graph at a finite number of points, such as the line y = x when compared with a parabola y = x2.

The required total bill would be $64.134 including of 18% tip.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

According to the question,

To leave an 18% tip for a waiter on a $54.35 meal,
Total bill = 54.35 + 18% of 54.35
              = 54.35 [1 + 0.18]
              = 54.35 (1.18) = 64.134

Thus, the required total bill would be $64.134.

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Leslie's statement is correct. 5 multiplied by an even number always results in an even product

From the question, we are to determine if Leslie's statement is correct.

From the given information,

Leslie says that 5 multiplied by an even number always results in an even product

An even number is a whole number that is able to be divided by two into two equal whole numbers

NOTE: The multiplication of any integer by an even number will always result in an even product.

An integer is a positive or negative whole number.

Since, 5 is an integer, then the multipliction of 5  by an even number will always results in an even product.

Hence, Leslie's statement is correct. 5 multiplied by an even number always results in an even product.

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