Find the lateral area for the cylinder with the given measurement. r = 4, h = 5

Answer:1,722 R3

Step-by-step explanation:

A parabola is the locus of points equidistant from the focus and directrix. This means the distance from the green point is the same to the focus as it is to the directrix. The appropriate choice is ...

... B. 7

Hi there!

I believe your answer would be B. 7. I say this because the focus is the same distance away from the green point as the directrix is away from the point.

Hope this helps!

- Chris

There are 14 dogs and 46 chickens on your uncle's farm.

To solve this problem, we can set up a system of equations. Let x be the number of dogs and y be the number of chickens on your uncle's farm.

The number of legs equation can be written as: 4x + 2y = 148 (since dogs have 4 legs and chickens have 2 legs).

The number of heads equation can be written as: x + y = 60 (since both dogs and chickens have 1 head).

We can solve this system of equations by substitution or elimination. Let's use elimination:

Multiplying the second equation by 2, we get 2x + 2y = 120.

Subtracting the new equation from the first equation, we can eliminate the 2y term: (4x + 2y) - (2x + 2y) = 148 - 120. Simplifying, we have 2x = 28.

Dividing both sides of the equation by 2, we find that x = 14. Substituting this value back into the second equation, we find that 14 + y = 60. Solving for y, we get y = 46.

Therefore, there are 14 dogs and 46 chickens on your uncle's farm.

Answer: I think its 5/9

Step-by-step explanation:

Answer:

5.8

Step-by-step explanation:

Answer:

3g+5.5c=29

g+c=8

Answer:

11250ft2

Step-by-step explanation:

i took the test to make sure the other guy was right

Daniel can earn $7510 interest he get after 15 years of investment.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Here, principal = $80,000

         Time = 15 years

         Rate of Interest = 0.6% compounded annually

We know that,

       [tex]A = P(1+i)^n[/tex]

      [tex]A = 80000(1 + 0.006)^{15}[/tex]

      [tex]A = 80000 X 1.006^{15}[/tex]

      A = 80000 X 1.094

      A = 87,510.41

Interest = Amount - Principal

             = 87510 - 80000

             = $ 7,510

Thus, Daniel can earn $7510 interest he get after 15 years of investment.

Learn more about Compound Interest from:

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Answer:

8 is the answer you are looking for

Step-by-step explanation: not needed

Answer:

Sin(F)=4/5

Cos(F)=3/5

Tan(D)=3/4

Step-by-step explanation:

Answer:

Option 2. 25 pounds

Step-by-step explanation:

As per graph weight gain of Bryan's puppy is represented by a linear function which is a straight line.

Therefore equation of the line will be y = mx + c

to calculate the value of m we will take two points (endpoints) on the line (0, 0) and (50, 6)

So m = (50-0)/(6-0) = 50/6 = 8.33

since this passes through (0, 0) so c = 0

Equation will be y = 8.33x

Now we have to get the value of y (weigh of puppy) at x = 3.

y = 8.33×3 = 24.99 ≈ 25 lb.

Option 2 is the answer.

Employee benefits, such as health insurance and retirement plans, add value to the total compensation received by workers. They account for about one-quarter of average hourly compensation, contributing to the overall attractiveness of the compensation package and promoting employee well-being and job satisfaction.

Employee benefits affect total employment compensation by adding to the overall value of the compensation package. They provide additional forms of remuneration beyond wages and salaries, such as health insurance, retirement plans, employer payments to Social Security, unemployment and worker's compensation insurance, and other benefits like Medicare.

These benefits contribute to the total compensation received by workers, accounting for about one-quarter of the average hourly compensation. So, for example, if a worker's wages are $20 per hour, the total compensation per hour might be around $26 when considering the value of benefits.

By providing employee benefits, employers aim to attract and retain talented employees, promote employee well-being, and enhance job satisfaction and productivity. These benefits play a crucial role in improving the overall compensation package and incentivizing employees to stay with the company.

Final answer:

Employee benefits, such as health insurance and retirement plans, greatly impact total employment compensation. These benefits, in addition to wages and salaries, make up the overall compensation received by workers.

Explanation:

Employee benefits have a significant impact on total employment compensation. These benefits include things like health insurance, retirement plans, employer payments to Social Security, and unemployment and worker's compensation insurance. When these benefits are added to wages and salaries, they make up the total compensation received by workers.

For example, if a worker's hourly wage is $20 and they receive $5 per hour in benefits, their total compensation per hour is $25. This means that employee benefits increase the overall value of compensation that workers receive.

Employee benefits are important for attracting and retaining employees, as well as promoting employee well-being and job satisfaction. They can also have an impact on the cost of labor for employers, as they must budget for these benefits in addition to wages and salaries.

The roots of the polynomial equation x²−12x−64=0 are 16 and -4. These roots are calculated using the quadratic formula and represent the points where the function intersects the x-axis. The importance of finding real roots in quadratic equations is significant in solving real-world problems.

Roots of Polynomial Equation

The roots or solutions of the polynomial equation x²−12x−64=0 can be calculated using quadratic formula. In general, the quadratic function is written as ax²+bx+c=0 and its roots are given by -b ± √(b² - 4ac) / 2a. In this case, a=1, b=-12 and c=-64.

Applying those values into the formula we get 12 ± √((-12)² - 4(1)(-64)) / 2(1) = 12 ± √(144 + 256) / 2 = 12 ± √400 / 2 = 12 ± 20 / 2. This gives us two possible roots: 16 and -4.

Graphically, these roots represent the x coordinates or points where the quadratic function intersects the x-axis on a two-dimensional graph. It is important to note that quadratic equations constructed on physical data always have real roots, which are important for solving real-world problems.

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Answer:

C. 1.1 seconds

Step-by-step explanation:

The formula to use is :

[tex]h=ut+\frac{1}{2}at^{2}[/tex]

Where: h is the height of 20 ft, u is the velocity of 2ft/s and a is the gravitational acceleration of 9.8m/s². The acceleration should be converted to ft/sec² to simplify calculations. The value is then 32.15ft/sec².

Substituting these values into the equation:

[tex]20=2t+0.5*32.15t^{2} \\20=2t+16.075t^{2} \\0=16.075t^{2}+2t-20[/tex]

Using the quadratic formula, t can be solved.

a = 16.075, b = 2, c = -20:

[tex]t=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\t=\frac{-2+-\sqrt{2^{2}-4(16.075)(-20)} }{2(16.075)}\\t=\frac{-2+-35.92}{32.15}\\t=1.055 \\OR\\t=-1.179[/tex]

The answer cannot be negative, therefore the answer is t = 1.055 ≈ 1.1seconds

Final answer:

If the brackets in the expression “[-1.1]” are interpreted as the floor function, the value is “-2”, because the floor function always rounds a number down to the closest lesser whole number.

Explanation:

The question appears to be asking for the value of the mathematical expression “[-1.1]”. However, the notation is a bit unclear. If the brackets denote the floor function, which rounds a number down to the nearest whole number, then the value of “[-1.1]” is indeed “-2” because -1.1 is rounded down to -2.

The floor function basically chops off all decimal points and moves a number to the next lower integer if it's not already an integer. Hence, the correct answer based on the interpretation of the floor function is “-2”.

Answer:

$7.00

Step-by-step explanation:

16 apples ⋅ 5.2 ounces1 apple ⋅ 1 pound16 ounces ⋅ $1.291 pound ≈ $7.00