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Given the following numbers:

π,2√5,√8,√3,√27

part A. Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.

Please note pi does not need to be approximated by the perfect squares approximation method as it is not a square root.

part B. Order the numbers from least to greatest. Please show your answer using the original symbols and radicals provided. You may use decimals or fractions as part of your work for figuring it out.

The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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The correct answer is 7XS when RR' = 14, then RZ = 7 when the parallelogram PQRS is reflected across the line of reflection.

Given that,

If RR' = 14, then RZ = 7 when the parallelogram PQRS is reflected across the line of reflection.

SX = 5 if Y = 5.

In Euclidean geometry, a parallelogram is a straightforward (non-self-intersecting) quadrilateral with two sets of parallel sides.

A parallelogram has equal-length opposing angles and facing or opposing sides.

The Euclidean parallel postulate or one of its equivalent formulations must be used in order to demonstrate the congruence of opposite sides and angles because both requirements flow naturally from this postulate.

A quadrilateral with only one pair of parallel sides, on the other hand, is referred to in British or American English as a trapezoid or trapezium.

We get,

The parallelepiped is a three-dimensional representation of a parallelogram.

So, 7 XS is the right response to the question.

Therefore, The correct answer is 7XS when RR' = 14, then RZ = 7 when the parallelogram PQRS is reflected across the line of reflection.

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Answer:

1. 7

2. XS

Step-by-step explanation:

D is the correct answer just took the test

The equation of hyperboloid of one sheet: \(\frac{x^{2} }{A^{2} } +\frac{y^{2} }{B^{2} } -\frac{z^{2} }{C^{2} } =1\) which is used to calculate hyperboloid.

The most challenging quadric surface is probably the hyperboloid of a single sheet. For starters, it is puzzling since its equation is quite similar to that of a hyperboloid with two sheets. For information on how to tell them apart, see to the section on the two-sheeted hyperboloid. Its cross portions are also highly intricate equation.

Having said all of that, everyone who has watched The Simpsons, even for the first time, will recognize this form. One-sheet hyperboloids have a striking resemblance to Springfield Nuclear Power Plant cooling towers.

The cross sections of a straightforward one-sheeted hyperboloid with A = B = C = 1.

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The sum of two numbers is 18.

Let greater number be x and lesser number be y.

It is given that two times the greater number equals the sum of 4 times the lesser number and 6

Hence the correct option is b.

Answer:

T=6 NUMBER OF TEN DOLLAR BILLS.

F=13 NUMBER OF FIVE DOLLAR BILLS.

Step-by-step explanation:

F+T=19 F=19-T

5F+10T=125 NOW SUBSTITUTE (19-T) FOR F IN THIS EQUATION & SOLVE FOR T

5(19-T)+10T=125

95-5T+10T=125

5T=125-95

5T=30

T=30/5

PROOF

5*13+10*6=125

65+60=125

125=125

The standard deviation is relatively small when the data are all concentrated close to the mean, exhibiting little variation or spread.

The standard deviation could be a degree of the changeability or spread of a set of information. It is calculated by finding the square root of the normal of the squared contrasts between each information point and the cruel(mean).

In other words, it tells us how much the information values are scattered around the mean.

When the information is all concentrated near the cruel(mean), it implies that the contrasts between each information point and the cruel are moderately little.

This comes about in a little while of squared contrasts, which in turn leads to a little standard deviation. On the other hand, when the information is more spread out, it implies that the contrasts between each information point and the cruel are bigger.

This comes about in a bigger entirety of squared contrasts, which in turn leads to a bigger standard deviation.

For case, let's consider two sets of information:

Set A and Set B.

Set A:

2, 3, 4, 5, 6

Set B:

1, 3, 5, 7, 9

Both sets have the same cruel(mean) (4.0), but Set A encompasses a littler standard deviation (1.4) than Set B (2.8).

This is because the information values in Set A are all moderately near to the cruel(mean), while the information values in Set B are more spread out.

Subsequently, we will say that the standard deviation is generally small when the information is all concentrated near the mean, showing a small variety or spread.

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Answer:

x=10,-2 that should be the answer if it's not then oh well

Step-by-step explanation:

To find out how much Diana paid, we need to first calculate the total cost of the pizza, the chicken wings, the salad, the drinks, and the tip, and then divide that total by 2, since Diana is paying for half.

The total cost of the pizza, chicken wings, salad, and drinks is:

$13.02 (pizza) + $12.99 (chicken wings) + $6.25 (salad) + $3.25 (Diana's drink) + $3.25 (Carrie's drink) = $38.76

Adding the tip of $10.00 to this total gives:

$38.76 + $10.00 = $48.76

Half of this total is:

$48.76 / 2 = $24.38

Therefore, Diana paid $24.38 for her food, half the cost of the pizza, and half the tip.

Diana paid $19.65, which includes $9.02 for her share of the pizza, $5.00 for her share of the tip, $12.99 for chicken wings and $3.25 for a drink. Below is the working on the sketchpad.What is shown on the sketchpad?It is shown on the sketchpad below how Diana paid for her lunch at the restaurant.

The items that she paid for are indicated in the table below the sketchpad.What is the calculation for the amount Diana paid for lunch?Diana's share of the pizza is half of $13.02, which is $6.51. Adding $6.51 to the cost of the chicken wings and a drink gives a total of $22.75 for the cost of the lunch.

After adding the tip to the total cost of the lunch, we have $32.75 ($22.75 + $10.00 tip). To find the amount Diana paid, we need to find half of the total cost of the lunch and half of the tip.The following calculation shows the amount Diana paid:Her share of the cost of the lunch was $11.37 (($6.51 + $12.99 + $3.25)/2).Her share of the tip was $5.00/2, which is $2.50.The amount Diana paid for her food, plus her share of the cost of the pizza and tip is therefore $13.87 ($11.37 + $2.50).

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Solving an equation with one unknown using Polymath code involves utilizing numerical methods to find the root of the equation. Polymath is a computational software specifically designed for solving mathematical problems, including equations with one unknown.

To solve the equation using Polymath, you would need to input the equation into the software using the appropriate syntax. The software will then employ numerical algorithms, such as Newton's method or the bisection method, to iteratively approximate the solution.

The code would involve setting up the equation and defining the appropriate mathematical functions and parameters. Polymath provides a user-friendly interface to facilitate entering the equation and executing the code.

Once the code is executed, Polymath will perform the necessary calculations to find the solution to the equation. The result may be displayed as the value of the unknown variable that satisfies the equation or as an approximate root of the equation.

Overall, Polymath simplifies the process of solving equations with one unknown by automating the numerical computations, allowing users to obtain accurate solutions quickly and efficiently.

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Answer:

7 weeks

Step-by-step explanation:

Joey gets 17 per week

\(17x\) with x the number of weeks

he wants to buy a basketball cap that 43.67

\(equation\geq 43.67\)

he has already saved 22.22

\(+22.22\)

has to pay 13.45 each week

\(-13.45x\)

\(17x+22.22-13.45x\geq 43.67\\\\(17x-13.45x)+22.22\geq 43.67\\\\3.55x+22.22\geq 43.67\\\\3.55x\geq 43.67-22.22\\\\3.55x\geq 21.45\\\\x\geq \frac{21.45}{3.55} \\\\x\geq 6.04...\)

but we don't wake a 0.4 of a week so we need the next whole number 7

so it will take 7

Answer:

{y l y > 9}

Step-by-step explanation:

Given function:

\(f(x)=3^x+9\)

The given function is an exponential function.

The parent function is the basic equation before the function has undergone any transformation(s).  Therefore, the parent function of the given function is:

The range of the parent function is restricted to positive real numbers as it never takes a negative value.  Furthermore, it never reaches zero (although it approaches y = 0 as x → -∞).  Therefore, the range of the parent function is {y | y > 0}.

As the given function has been translated up 9 units (by the addition of "+ 9"), the range of the given function is translated 9 units up.  So as x approaches negative infinity, y approaches (but never reaches) 9. Therefore, the range of the given function is:

Answer:

7

Step-by-step explanation:

If m was 1, then it would be

4 +8 = 36, which is not true.

If m was 7, then it would be

28 + 8 = 36, which is true.

If m was 11, then it would be

44 + 8 = 36, which is not true.

If m was 36, then it would be

144 + 8 = 36, which is not true.

Hope that helps!

Answer:

those are corrisponding angles which means they equal each other making <H and <G both 57 degrees

Answer:

this is the answer for the question=$4795.30

Answer:2/3

Step-by-step explanation:

Slope is 2/3

Answer:

(k•h)(x) is 5/x + 1

Step-by-step explanation:

(k•h)(x) is the product of the functions h(x) = 5 + x and k(x) = 1/x.

This product (k•h)(x) is 5/x + 1

Answer:

1/(5+×)

Step-by-step explanation:

Answer:

6.61 or 6 times

Step-by-step explanation:

278/42 = 6.61

42 goes into 278 6.61 times.

If you are estimating, 6 is correct.

If you are finding the exact answer, 6.61 is correct.

I hope this helps with your question.

Answer:

20

Step-by-step explanation:

Answer

x=33

Step-by-step explanation:

since they're both on the same line we must equal them to 180.

18 + x + 4x -3 = 180 (Now you simplify terms)

5x + 15 = 180 (Subtract the 15 from both sides)

5x = 165 (divide by 5 to isolate the variable)

x = 33 (Hope I was able to help :) )

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =65\\ A=\frac{104\pi }{9} \end{cases}\implies \cfrac{104\pi }{9}=\cfrac{(65)\pi r^2}{360}\implies \cfrac{104\pi }{9}=\cfrac{13\pi r^2}{72} \\\\\\ \cfrac{72}{13\pi}\cdot \cfrac{104\pi }{9}=r^2\implies 64=r^2\implies \sqrt{64}=r\implies \boxed{8=r}\)

Answer:

-9

Step-by-step explanation:

16-25=-9

Answer: -9

Step-by-step explanation:

The inequality the represents the expression -12d < - 6 is d < 1/2.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign. Equations are not always balanced on both sides using a "equal to" sign in mathematics. Occasionally it might be about a "not equal to" connection, meaning that something is superior to or inferior to another.

The given inequality is -12d < - 6.

The inequality can be written as:

d < -6/ -12

d < 1/2

Hence, the inequality the represents the expression -12d < - 6 is d < 1/2.

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1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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The given function is f(x) = -3x^2 + 2x + 3.

The interval(s) over which the function f(x) = -3x^2 + 2x + 3 is continuous is: x ∈ (-∞, ∞)

Steps to find the interval notation of continuous function:

For a given function, check if it has any discontinuities such as a vertical asymptote, a jump discontinuity, or a removable discontinuity.

If the function does not have any such discontinuities, then the function is continuous for all real values of x.

Write the answer using interval notation.

The given function is a polynomial function and does not have any vertical asymptotes, jump discontinuities, or removable discontinuities. Therefore, the function is continuous for all real values of x, and the interval notation for the continuous function is x ∈ (-∞, ∞).

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Answer:

I need some help with this!

To find the probability of the  answer (placing 10 identical balls into 3 bins), we need to sum up the probabilities of all possible arrangements: ∑(Probability) for all valid combinations of x, y, and z

To solve this problem, we need to find the probability of placing the 10 identical balls into 3 bins. Each ball can be placed independently into one of the bins, with probabilities p1, p2, and p3.

To calculate the probability, we can use the principle of multiplication. We multiply the probabilities of each ball going into the respective bins.

Let's say we have x balls in bin 1, y balls in bin 2, and z balls in bin 3. We have the following conditions:

x + y + z = 10 (since we have a total of 10 balls)
x, y, z ≥ 0 (since each bin can have any number of balls, including 0)

We can use combinatorics to calculate the number of ways to distribute the balls among the bins. The formula is:

C(n + r - 1, r - 1) = C(10 + 3 - 1, 3 - 1) = C(12, 2)

This gives us the total number of possible arrangements of the balls in the bins.

Now, let's calculate the probability of each arrangement. We multiply the probabilities of each ball going into its respective bin:

Probability =\(p1^x * p2^y * p3^z\)

To find the probability of the  answer (placing 10 identical balls into 3 bins), we need to sum up the probabilities of all possible arrangements:

∑(Probability) for all valid combinations of x, y, and z
In conclusion, we calculate the probability of placing 10 identical balls into 3 bins by multiplying the probabilities of each ball going into its respective bin and summing up the probabilities of all possible arrangements.

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