Which figure can be formed from the net?

An unfolded cube with 9 inch sides

\(f(x) = \log_b(x)\) is a decreasing function when \(0 < b < 1\)

This is because we can use the change of base formula to say

\(\log_b(x) = \frac{\log(x)}{\log(b)}\)

If b is between 0 and 1, not including either endpoint, notice how the log(b) term is negative.

For example, if b = 0.5, then log(b) = log(0.5) = -0.301 approximately. I'm using log base 10 to get log(0.5) = -0.301

So for b = 0.5, we have,

\(\log_{0.5}(x) = \frac{\log(x)}{\log(0.5)} \approx \frac{\log(x)}{-0.301} \approx -3.322\log(x)\)

The log(x) part on its own is always increasing. The negative coefficient out front flips it to always decreasing.

By applying the behavior rules we notice that the expression \(F(x) = \log_{b} x\)decreasing function if the base of the logarithm is 0 < b < 1. (Correct choice: D) #SPJ5

Logarithms are trascendent functions whose form is defined by the following expression:

\(\log _{b} x\) such that \(x = b^{a}\), where b > 0.

Where b is the base of the power.

Whose rules are described below:

By applying the behavior rules we notice that the expression \(F(x) = \log_{b} x\) is a decreasing function if the base of the logarithm is 0 < b < 1. (Correct choice: D)

The statement is poorly formatted and reports several mistakes. Correct form is shown below:

For what values of b will \(F(x) = \log_{b} x\) be a decreasing function?

A. b > 0

B. 0

C. b < 0

D. 0 < b < 1

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H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)

Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.

Symbolically, the null hypothesis can be stated as:

H0: p1 ≥ p2

Where:

H0: Null Hypothesis

p1: Proportion of students diagnosed with ADHD in School A

p2: Proportion of students diagnosed with ADHD in School B

In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.

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The partial fraction decomposition is:

Y(s) = 4/(s + 1)

1. Take the Laplace transform of both sides of the differential equation.

2. Solve for the Laplace transform of the unknown function.

3. Find the inverse Laplace transform to obtain the solution in the time domain.

Step 1: Taking the Laplace transform of both sides

Applying the Laplace transform to the differential equation, we have:

L[y'] + L[y] = L[t - 1]

Using the linearity property of the Laplace transform, we get:

sY(s) - y(0) + Y(s) = 1/s^2 - 1/s

where Y(s) represents the Laplace transform of y(t), and y(0) is the initial condition y(0) = 3.

Step 2: Solve for the Laplace transform of the unknown function

Combining like terms and isolating Y(s), we have:

Y(s)(s + 1) = 1/s^2 - 1/s + y(0)

Y(s)(s + 1) = (1 - s + s^2)/s^2 + 3

Now, let's simplify the right side of the equation:

Y(s)(s + 1) = (1 - s + s^2 + 3s^2)/s^2

Y(s)(s + 1) = (4s^2 - s + 1)/s^2

Dividing both sides by (s + 1), we get:

Y(s) = (4s^2 - s + 1)/(s^2(s + 1)

Step 3: Find the inverse Laplace transform

To simplify the expression further, we need to decompose the right side using partial fractions. Let's find the partial fraction decomposition:

Y(s) = (4s^2 - s + 1)/(s^2(s + 1)

To find the partial fractions, we write Y(s) as:

Y(s) = A/s + B/s^2 + C/(s + 1)

Multiplying through by s^2(s + 1), we have:

4s^2 - s + 1 = A(s^2 + s) + B(s + 1) + Cs^2

Expanding and equating coefficients, we get the following system of equations:

4s^2 - s + 1 = As^3 + As^2 + Bs^2 + B + Cs^2

4s^2 - s + 1 = As^3 + (A + B + C)s^2 + B + 1

Equating coefficients for each power of s:

s^3 coefficient: A = 0 (since the left side has no s^3 term)

s^2 coefficient: A + B + C = 4

s coefficient: 0 = -1

s^0 coefficient: B + 1 = 1

From the second and fourth equations, we find B = 0 and C = 4. Plugging these values back into the equation for A + B + C = 4, we find A = 0.

Therefore, the partial fraction decomposition is:

Y(s) = 4/(s + 1)

Now, we can find the inverse Laplace transform. Using a table of Laplace transforms, we find that:

L^(-1){Y(s)} = L^(-1){4/(s + 1)} = 4e^(-t)

Hence, the solution to the initial-value problem is:

y(t) = 4e^(-t)

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a. The greatest possible distance from  Austin to san Antonio is 335.77 mi, b. the Least possible distance to Austin to san Antonio is 120.03 mi.

Distance refers to the physical length or space between two points or objects. It is an important concept in mathematics, physics, and everyday life. Distance can be measured in various units such as meters, feet, kilometers, miles, or light-years, depending on the context and scale of the measurement.

In mathematics, distance is often measured using the Euclidean distance formula, which calculates the distance between two points in a plane or in three-dimensional space. The formula is given by:

d = √((x2 - x1)² + (y2 - y1)²)

where d is the distance between the two points, (x1, y1) and (x2, y2).

In physics, distance is often used to describe the separation between two objects or particles. The distance between two objects can affect the strength of gravitational or electromagnetic forces between them. Distance is also an important concept in special relativity, where it is affected by the relative motion of observers and the distortion of spacetime.

a. Greatest possible distance from  Austin to san Antonio= Distance from Austin →Houston → san Antonio.

Austin - Houston = 146.43 mi

Houston - San Antonio = 189.34 mi

Total  distance= 146.43+ 189.34= 335.77 mi

b. Least possible distance to Austin to San Antonio = the shortest distance = x

By Pythagoras theorem

(189.34)² = (146.43)²+ x²

x² = (189.34)²- (146.43)²

x² = 35849.63- 21441.744

x² = 14407.89

x =√14407.89

x = 120.03

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The complete question is:

Hey there! :)

Answer:

The polygon has 8 sides.

Step-by-step explanation:

Use the sum of interior angles formula to solve.

The sum of the interior angles is equal to (n-2)180. If 135° is one angle, we can simply set up an expression to represent this situation:

135 = (n-2)· 180 / n

Multiply both sides by n:

135n = (n-2) · 180

Distribute the 180:

135n = 180n - 360

Subtract 180n from both sides:

-45n = -360

Divide both sides by -45:

n = 8. The polygon has 8 sides.

Answer:8 sides

Step-by-step explanation:

okay 1 student = 1/20 chance of picking yellow

1/20 (30/30) = 30/600 chance of picking yellow out of 30 studnets

30/600 = 0.05 = 5% chance of choosing yellow.

I each studnet picks 1 yellow marker. Is that all the options?

The appropriate statistical procedure to use here is a two-tailed hypothesis test for the population mean

What is standard deviation?

Explanation:

Therefore,  A one-sample t-test for means' is the correct choice.

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Using a convenience sample, which would involve surveying mothers who are easily accessible, such as those who live in close proximity to the researcher or it could be to use a random sample, which would involve selecting mothers from all towns across the country at random.

The most appropriate sampling method will likely depend on the specific research question being asked. If the goal is to simply gather general information about stay-at-home mothers’ opinions, then a convenience sample may be sufficient. However, if the goal is to study a specific phenomenon or compare different groups of stay-at-home mothers, then a random sample would be more appropriate.

Whichever sampling method is used, it is important to ensure that the sample is representative of the population of interest. This can be achieved by stratifying the sample, if possible, or by using weighting techniques. For example, if the goal is to study stay-at-home mothers’ opinions on a particular issue, the sample could be stratified by region in order to ensure that mothers from all parts of the country are represented

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Step-by-step explanation:

To get  TO   H   FROM   G    is 4 LEFT and DOWN 1  .

The triangle is a right angled triangle, because one angle of the triangle is a right angle, that is, it is exactly 90°.

Here, the measure of the two angles are given, so we can find the third angle using the angle sum property of a triangle

that is, 57° + 33° + x = 180°

= 90° + x = 180°

x = 180° - 90° = 90°

Since, the third angle is 90°, the triangle is a right angled triangle.

Answer:

n = -8, 7

Step-by-step explanation:

Your equation is:

\(\displaystyle{n^2+n=56}\)

Arrange the terms in the quadratic expression, ax² + bx + c:

\(\displaystyle{n^2+n-56=0}\)

Factor the expression, thus:

\(\displaystyle{\left(n+8\right)\left(n-7\right)=0}\)

This is because 8n-7n = n (middle term) and 8(-7) = -56 (last term). Then solve like a linear which results in:

\(\displaystyle{n=-8,7}\)

Hello!

\(\sf n^2 + n = 56\\\\n^2 + n - 56 = 0\\\\\\n = \dfrac{-b\±\sqrt{b^2-4ac} }{2a} \\\\\\n = \dfrac{-1\±\sqrt{1^2-4*1*(-56)} }{2*1}\\\\\\n = \dfrac{1\±15}{2} \\\\\\\boxed{\sf n = 7 ~or ~-8 }\)

Answer:

Step-by-step explanation:

Edmentum/Plato answer

Answer:

Step-by-step explanation:

The volume of the solid bounded by the surfaces x^2 + y^2 = 41y, z = 0, and ze^(V(x^2 + y^2)) is given by a triple integral with limits 0 ≤ z ≤ e and 0 ≤ y ≤ 41, and for each y, -√(1681/4 - (y - 41/2)^2) ≤ x ≤ √(1681/4 - (y - 41/2)^2).

To compute the volume of the solid bounded by the surfaces, we need to find the limits of integration for each variable and set up the triple integral. Let's proceed step by step.

First, we'll analyze the equation x^2 + y^2 = 41y to determine the region in the xy-plane. We can rewrite it as x^2 + (y^2 - 41y) = 0, completing the square for the y terms:

x^2 + (y^2 - 41y + (41/2)^2) = (41/2)^2

x^2 + (y - 41/2)^2 = (41/2)^2.

This equation represents a circle with center (0, 41/2) and radius (41/2). Therefore, the region in the xy-plane is the disk D with center (0, 41/2) and radius (41/2).

Next, we'll find the limits of integration for each variable:

For z, the given equation z = 0 indicates that the solid is bounded by the xy-plane.

For y, we observe that the equation y^2 = 41y can be rewritten as y(y - 41) = 0. This equation has two solutions: y = 0 and y = 41. However, we need to consider the region D in the xy-plane. Since the center of D is (0, 41/2), the value y = 41 is outside D and does not contribute to the solid's volume. Therefore, the limits for y are 0 ≤ y ≤ 41.

For x, we consider the equation of the circle x^2 + (y - 41/2)^2 = (41/2)^2. Solving for x, we have:

x^2 = (41/2)^2 - (y - 41/2)^2

x^2 = 1681/4 - (y - 41/2)^2

x = ±√(1681/4 - (y - 41/2)^2).

Thus, the limits for x depend on the value of y. For each y, the limits for x will be -√(1681/4 - (y - 41/2)^2) ≤ x ≤ √(1681/4 - (y - 41/2)^2).

Now, we can set up the triple integral to calculate the volume V:

V = ∫∫∫ e^V (x^2 + y^2) dz dy dx,

with the limits of integration as follows:

0 ≤ z ≤ e,

0 ≤ y ≤ 41,

-√(1681/4 - (y - 41/2)^2) ≤ x ≤ √(1681/4 - (y - 41/2)^2).

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Answer:

\(Total = 25\ yd\)

Step-by-step explanation:

The given parameters can be represented as:

\(Length = 2\frac{1}{2}\)

\(Number=10\)

Required

The total yards

This is calculated as:

\(Total = Number * Length\)

\(Total = 10 * 2\frac{1}{2}\ yd\)

Convert fraction to decimal

\(Total = 10 * 2.5\ yd\)

\(Total = 25\ yd\)

Answer:

80%

Step-by-step explanation:

There are 4 shaded sections and 1 unshaded section, so five sections in total.

4 sections are shaded, so the fraction would be 4/5.

Dividing 4/5 gets you 0.8, move the decimal point two places over to get the percent (80%).

Answer:

D. 80%

Step-by-step explanation:

Well, the diagram shows 4/5ths knowing this is more than half we can auto matily mark out the first two A. and B. leaving C. 75% and D. 80% and D. is the best choice (sorry go too lazy to explain...)

Answer:

ok but with what

Step-by-step explanation:

Answer:

i go to k12 we got the same sience class want to be pen pals? we help eachother

Step-by-step explanation:

Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

In the given formula we have variables:

If we have to solve it for P then it should be called 'Principal' or 'Loan amount'.

If we have to solve it for n then it should be called 'Number of payments' or 'Number of installments'.

Since n is the power of a number we need logarithm to solve it for n.

Answer:

"Principal (loan amount)"

"Term of the loan (in months)" or "Number of monthly payments"

Logarithms

Step-by-step explanation:

Monthly Payment Formula

\(M=\dfrac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\)

where:

If we solve for P, the name of the formula is "Principal (loan amount)".

If we solve for n, the name of the formula is "Term of the loan (in months)" or "Number of monthly payments".

When solving for n, we need to use logarithms:

\(\boxed{\begin{aligned}M&=\frac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\\\\M(\left(1+r\right)^n-1)&=Pr\left(1+r\right)^n\\\\\frac{\left(1+r\right)^n-1}{\left(1+r\right)^n}&=\frac{Pr}{M}\\\\1-\frac{1}{\left(r+1\right)^n}&=\frac{Pr}{M}\\\\\frac{1}{\left(r+1\right)^n}&=1-\frac{Pr}{M}\\\\\left(r+1\right)^{-n}&=1-\frac{Pr}{M}\\\\\ln \left(r+1\right)^{-n}&=\ln \left(1-\frac{Pr}{M}\right)\\\\-n\ln(r+1)&=\ln\left(1-\frac{Pr}{M}\right)\\\\n&=\frac{-\ln\left(1-\frac{Pr}{M}\right)}{\ln(r+1)}\end{aligned}}\)

The formula to calculate the present value tables is PV = FV / (1 + r)ⁿ

To calculate present value tables, you need to use a mathematical formula that takes into account the interest rate and the time period over which the money will be invested. This formula is as follows:

PV = FV / (1 + r)ⁿ

Where PV is the present value, FV is the future value, r is the interest rate, and n is the number of time periods.

To create a table, you need to input different values of FV, r, and n and use the formula to calculate the corresponding present value. This is usually done using a spreadsheet program like Microsoft Excel, which allows you to easily create a table with multiple rows and columns.

You can then repeat this calculation for different values of FV, r, and n to create a table of present values. This table can be used to make investment decisions and compare the present values of different investment options.

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The numeric value of the expression 16 + 4(3q + p) when q = 6 and p = 2 is given by: 96.

To find the numeric value of a function, we replace each instance of the variable in the function by the desired value. This also works for multi-variable functions or expressions, as each instance of each variable will be replaced by their attributed values.

For this problem, the expression is given by:

16 + 4(3q + p)

The attributed values are given by:

q = 6, p = 2.

Hence the numeric value of the expression is found as follows:

16 + 4(3 x 6 + 2) = 16 + 4(18 + 2) = 16 + 4 x 20 = 16 + 80 = 96.

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The solution to the Equations is    x = 3, x = 7, x = 11,  x = -9,  x = 1.3,               x = -4, x = -4,x = -2,x = 11, x = 3.33,x = 7, x = 5,x = -4.

1. To solve 3(x+2)=15, we first distribute the 3 and get 3x + 6 = 15. Then, we subtract 6 from both sides and get 3x = 9. Finally, we divide both sides by 3 and get x = 3.

2. To solve 2(x+5)=24, we first distribute the 2 and get 2x + 10 = 24. Then, we subtract 10 from both sides and get 2x = 14. Finally, we divide both sides by 2 and get x = 7.

3. To solve 6(x-9)=12, we first distribute the 6 and get 6x - 54 = 12. Then, we add 54 to both sides and get 6x = 66. Finally, we divide both sides by 6 and get x = 11.

4. To solve 2(3x+5)= -44, we first distribute the 2 and get 6x + 10 = -44. Then, we subtract 10 from both sides and get 6x = -54. Finally, we divide both sides by 6 and get x = -9.

5. To solve 5(4x-3)=11, we first distribute the 5 and get 20x - 15 = 11. Then, we add 15 to both sides and get 20x = 26. Finally, we divide both sides by 20 and get x = 1.3.

6. To solve -3(2x+1)=21, we first distribute the -3 and get -6x - 3 = 21. Then, we add 3 to both sides and get -6x = 24. Finally, we divide both sides by -6 and get x = -4.

7. To solve -9(x-4)=54, we first distribute the -9 and get -9x + 36 = 54. Then, we subtract 36 from both sides and get -9x = 18. Finally, we divide both sides by -9 and get x = -2.

8. To solve 7(x-4)-3=46, we first distribute the 7 and get 7x - 28 - 3 = 46. Then, we combine like terms and get 7x - 31 = 46. Then, we add 31 to both sides and get 7x = 77. Finally, we divide both sides by 7 and get x = 11.

9. To solve 2(3x-1)+3=21, we first distribute the 2 and get 6x - 2 + 3 = 21. Then, we combine like terms and get 6x + 1 = 21. Then, we subtract 1 from both sides and get 6x = 20. Finally, we divide both sides by 6 and get x = 3.33.

10. To solve 2(x+1)+3x=37, we first distribute the 2 and get 2x + 2 + 3x = 37. Then, we combine like terms and get 5x + 2 = 37. Then, we subtract 2 from both sides and get 5x = 35. Finally, we divide both sides by 5 and get x = 7.

11. To solve 12+4(2x+4)=68, we first distribute the 4 and get 12 + 8x + 16 = 68. Then, we combine like terms  x = 5.

12.To solve 3x - 2(6x - 3) = 42, we first distribute the -2 and get:3x - 12x + 6 = 42,9x + 6 = 42Then, we subtract 6 from both sides:-9x = 36Finally, we divide both sides by -9 and get:x = -4Therefore, the solution to the equation is x = -4.

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The solution to the algebraic expressions are:

1. x = 3

2. x = 7

3. x = 13

4. x = -9

5. x = 1.3

6. x = -4

7. x = -2

8. x = 11

9. x = 10/3

10. x = 5

11. x = 5

12. x = -4

1. 3(x + 2) = 15,

Using distributive property, we get 3x + 6 = 15.

3x = 9

x = 9/3

x = 3

2. 2(x + 5) = 24

Using distributive property, we get:

2x + 10 = 24

2x = 14

x = 7

3. 6(x - 9) = 12

Using distributive property, we get:

6x - 54 = 24

6x = 78

x = 78/6

x = 13

4. 2(3x + 5) = -44

Using distributive property, we get:

6x + 10 = -44

6x = -54

x = -9

5. 5(4x - 3) = 11

Using distributive property, we get:

20x - 15 = 11

20x = 26

x = 1.3

6. -3(2x + 1) = 21

-6x - 3 = 21

-6x = 24

x = -4

7. -9(x - 4) = 54

Using distributive property, we get:

-9x + 36 = 54

-9x = 54 - 36

-9x = 18

x = -2

8. 7(x - 4) - 3 = 46

Using distributive property, we get:

7x - 28 - 3 = 46

7x = 77

x = 11

9) 2(3x - 1) + 3 = 21

Using distributive property, we get:

6x - 2 + 3 = 21

6x = 20

x = 20/6

x = 10/3

10) 2(x + 1) + 3x = 37

2x + 2 + 3x = 37

5x = 35

x = 5

11) 12 + 4(2x + 4) = 68

12 + 8x + 16 = 68

8x = 40

x = 5

12) 3x - 2(6x - 3) = 42

3x - 12x + 6 = 42

6 - 9x = 42

9x = -36

x = -36/9

x = -4

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Answer:no image

Step-by-step explanation:

went at 3:45 PM

left at 7:45 PM

the duration she was at the library.

( to find the duration just find the difference of the time she left and she went.

= 4 hours

so, she was at the library for 4 hours.

The perspective illustrated by the form of trade where China trades silk with Germany in exchange for automobiles is comparative advantage.

Comparative advantage is an economic concept that states that countries will benefit from trade if they specialize in producing goods and services that they are relatively more efficient at producing, and then trade with other countries for goods and services they are relatively less efficient at producing.

In this scenario, China has a comparative advantage in producing silk, and Germany has a comparative advantage in producing automobiles. By specializing in these goods and exchanging them, both countries can benefit from trade and produce a greater quantity of goods and services than they could have if they were trying to produce everything themselves.

The concept of comparative advantage was first introduced by economist David Ricardo in the early 19th century, and it remains an important principle in international trade theory.

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Answer:

x = -3

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

The first step is getting the denominators equal

We can do this by multiplying the left side by 2/2 and the right side by 3/3 to get

\(\frac{2(12+6x)}{6}=\frac{3(5-9)}{6}\)

The fractions cancel out and we're left with

2(12+6x)=3(5-9)

from here you just need to simplify and solve for x

24+12x= -12

12x= -36

x= -3

Answer:

w = 30

Explanation:

5 times 6 is 30, therefore w = 30.

Answer:

w÷5=6

Step-by-step explanation: