Hi I need help with this question, please and thank you

Answer:

A. \(\frac{1}{5} log_3(x) + log_3(y)\)

Step-by-step explanation:

Log rules tell us that multiplication inside a log can be expressed as two summands with the same base.
In other words:

\(\log_c(a*b) =\log_c(a)+\log_c(b)\)

In this case:

\(log_3(\sqrt[5]{x} * y) = log_3(\sqrt[5]{x}) + log_3(y)\)

Using log exponent rules(power can be moved to the front of a log), we get our final answer:

\(\frac{1}{5} log_3(x) + log_3(y)\)

Step-by-step explanation:

Number of areangements = 10C4

= 10 * 9 * 8 * 7 / (1 * 2 * 3 * 4) = 210.

The number of arrangements of four pictures from a selection of ten pictures if Sue has 10 pictures but only has space in her apartment to hang 4 of them on a wall is 210.

An arrangement of objects is just a collection of them. A combination (order is ignored) or permutation is used to determine the number of "arrangements" of the components (order is significant).

Given:

The no of pictures, n = 10,

The number of spaces in the apartment, s = 4,

Calculate the number of arrangements by the formula given below,

No of arrangement = \(nCs\)

Substitute the values,

No of arrangement = 10C₄,

No of arrangement = (10 × 9 × 8 × 7) / 1 × 2 × 3 × 4,

No of arrangement = 210

Therefore, the number of arrangement of four pictures from a selection of ten pictures if Sue has 10 pictures but only has space in her apartment to hang 4 of them on a wall is 210.

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Answer:

are you at wendys

Step-by-step explanation:

30/5=6 so 1 frosy is 6 dollars and 30-6=24 and 24/5=4.80

Answer:

A baconator costs $5.50, and a frosty costs $2.50.

Step-by-step explanation:

Let b = price of one baconator.

Let f = price of one frosty.

"3 baconators and 2 frosty cost $21.50"

3b + 2f = 21.5

"5 baconators and 1 frosty cost 30$"

5b + 1f = 30

We have two equations in two unknowns forming a system of equation.

3b + 2f = 21.5

5b + 1f = 30

Rewrite the first equation below. Multiply both sides of the second equation by -2,a nd add the equations.

        3b + 2f = 21.5

(+)   -10b - 2f = -60

----------------------------

       -7b       = -38.5

Divide both sides by -7.

b = 5.5

The price of a baconator is $5.50. Now we plug in that price into the first equation and solve for f.

3b + 2f = 21.5

3(5.5) + 2f = 21.5

2f + 16.5 = 21.5

2f = 5

f = 2.5

Answer: A baconator costs $5.50, and a frosty costs $2.50.

Answer:

5,250 cm²

Step-by-step explanation:

Surface area of triangular prism = bh + (s1 + s2 + s3)L

Where ,

b = 24 cm

h = 35 cm

s1 = 37 cm

s2 = 37 cm

s3 = 24 cm

L = 45 cm

Plug in the values

Surface area = 24*35 + (37 + 37 + 24)45

= 840 + 4,410

= 5,250 cm²

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

Answer:

x = ±10

Step-by-step explanation:

4x² - 400 = 0

Add 400 to both sides

4x² = 400

Divide both sides by 4

x² = 100

Take the square root of both sides

x = ±10

Answer:

its B on edg2020

Step-by-step explanation:

B: Crops in the drought-affected areas were destroyed, which led to a decreased food supply and higher food prices.

Answer:

a

The 95% confidence interval is   \(0.5753<  p <0.62474\)  

b

 This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

c

 The margin of error is   \(E =    0.02474 \)  

d

 The confidence interval becomes wider

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1506

    The sample proportion is  \(\^ p = 0.60\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

     \(E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)

=>   \(E =    1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } \)    

=>   \(E =    0.02474 \)  

Generally 95% confidence interval is mathematically represented as  

      \(\^ p -E <  p <  \^ p +E\)

=>   \(0.60 - 0.02474 <  p <0.60 + 0.02474\)  

=>   \(0.5753<  p <0.62474\)  

This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

Generally the level of confidence varies directly with the critical value of \(\frac{\alpha }{2}\) and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider  

The value of x and y are -3 and 3 respectively as shown in the graph

An equation is an expression that shows how numbers and variables using mathematical operators.

Given the equation:

2x - 3y = -13      (1)

Also:

4x + 2y = -2    (2)

From equation 2:

4x + 2y = -2

2y = -4x - 2

y = -2x - 1

substitute y = -2x - 1 in equation 1:

2x - 3(-2x - 1) = -13

2x + 6x + 3 = -13

8x = -16

x = -2

Put x = -2 in eqn 2:

4(-2) + 2y = -2

-8 + 2y = -2

2y = 6

y = 3

The value of x and y are -3 and 3 respectively

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Answer:

3: 6, 9, 12, 15, 18

5: 10, 15, 20, 25, 30

7: 14, 21, 28, 35, 42

Step-by-step explanation:

Well, this is simple. Each multiple is that number plus the same number.

3: 3+3, 3+3+3, 3+3+3+3, 3+3+3+3+3, 3+3+3+3+3+3

3: 6 + 9 + 12 + 15 + 18

5: 5+5, 5+5+5, 5+5+5+5, 5+5+5+5+5, 5+5+5+5+5+5

5: 10, 15, 20, 25, 30

7: 7+7, 7+7+7, 7+7+7+7, 7+7+7+7+7, 7+7+7+7+7+7

7: 14, 21, 28, 35, 42

-Chetan K

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

Answer:

26

Step-by-step explanation:

to get from -6 to a 0, you add 6. 0+20 is 20, so that is how you get it

Answer:

D) any number that isn't a perfect square is irrational

Step-by-step explanation:

Answer:

D                              PLEASE MARK BRANLIEST

Answer:

the probability is 1.01

Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

câu này là 500 nhen

Answer:

87 + 5b = 217               Eric unpacked 26 boxes.

Step-by-step explanation:

Do 217 - 87 = 130

130/5 = 26

Answer:

x=-9/7

Step-by-step explanation:

Answer:-12(x - 3) - (2x - 6) = 60

= -12 OJHORZHOEHFOSDHSKDKCDEZIAIFDNSQDKFFFFFFFFFFFFZIDJAZIFJOIJF

Step-by-step explanation:

EFKJNDOIDNOIEFJOAIZFOUJFNJBVJFNVJNZJCN

To answer this question we need to write all the numbers in percentage form:

Swim 88.2%

Vidisha 75%

Sue 84%

Manuela 79%

Alexa 87.5%

Then the list would be Vidisha, Manuela, Sue, Alexa and Swim, therefore the answer is d.

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

y = - 3 * x + 2

if x = - 1

y = - 3 * (-1) + 2 = 3 + 2 = 5

if x = 0

y = - 3 * 0 + 2 = 2

if .. and so on

The question is incomplete. Here is the complete question.

(a) How many three-digit numbers can be formed from the digits 0,1,2,3,4,5 and 6, if each digit can be used only once?

(b) How many of these are odd numbers?

(c) How many are greater than 330?

Answer: (a) 180

              (b) 75

               (c) 105

Step-by-step explanation:

(a) In the group, there are 7 digits. A three-digit number can not start with zero, otherwise, it will be a 2-digit number. So:

For the hundreds position, there are 6 choices.

For the tens position, since the digit can be used only once, there are 6 choices.

For the unit position, there are 5 choices.

The total three-digit number formed is: 6*6*5 = 180

(b) To form an odd number, the unit position must be an odd digit, then:

unit position has 3 choices;

hundreds position has 5 choices;

tens position has 5 remaining choices.

The total three-digit odd number is: 3*5*5 = 75

(c) The number formed must be greater than 330, so:

If the number start with a 3, to be greater, there are 3 other choices (4, 5 and 6), so Tens position has 3 choices and Unit position has 5 choices.

Total number is: 3*5 = 15

Another possibility is the number starts with a digit bigger than 3 and so,  there are 3 choices.

Tens position has 6 choices;

Unit position has 5 choices;

Total possibilities are: 3*6*5 = 90

The total number of ways a three-digit number is greater than 330 is:

90 + 15 = 105

Answer:

y = 20x + 200

Step-by-step explanation:

The 200 is the constant.  It is only added once, but the monthly deposits are added at 20 every month.  

After 1 month:

y = 20x + 200

y = 20(1) + 200

y = 20 + 200

y =220       money deposited.

After 2 months:

y = 20x + 200

y = 20(2) + 200

y = 40 + 200

y =240 money deposited.

After 3 months:

y = 20x + 200

y = 20(3) + 200

y = 60 + 200

y = 260  money deposited

And so on, and so on, and so on...

The Central tendency is typically located to the right of the tallest bar.

In a skewed left distribution, the central tendency is typically located to the right of the tallest bar. Skewed left distributions, also known as negatively skewed distributions, are characterized by a tail that extends towards the left side of the distribution.

The central tendency refers to the measure that represents the center or average of a distribution. It provides information about the typical or central value around which the data points tend to cluster. Common measures of central tendency include the mean, median, and mode.

In a skewed left distribution, the mean is usually influenced by the long tail on the left side of the distribution. This tail pulls the mean towards lower values, resulting in a lower mean compared to the median. Therefore, the mean will typically be located to the left of the tallest bar in a skewed left distribution.

On the other hand, the median is less affected by the skewness of the distribution and is relatively robust to extreme values. It represents the value that separates the lower 50% of the data from the upper 50%. In a skewed left distribution, the median will be located closer to the tallest bar or even slightly to the right of it.

The mode, which represents the most frequently occurring value in a distribution, may or may not be influenced by the skewness depending on the shape of the distribution. It can be located anywhere along the distribution, and its position is not necessarily tied to the location of the tallest bar.

To summarize, in a skewed left distribution, the central tendency is typically located to the right of the tallest bar. The median is usually closer to the tallest bar or slightly to the right, while the mean is influenced by the skewness and tends to be located to the left of the tallest bar.

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Solution

write and solve an inequality to determine the number of people who can go to the amusement park.

The friends have a maximum of $225 to spend.

The parking is independent of p, the number of friends, and it costs $5, discounting that we get: $225 - $5 = $220

Each ticket costs $20, so the cost for p people is:

P($20)

And this must be equal to or smaller than $220, then we get the inequality:

p*$20 ≤ $220

To solve it for p, we need to divide both sides by $20, we will get:

p*$20/$20 ≤ $220/$20

This inequality gives the number of people that can go to the amusement park.

Answer:

22.375" × 34" is the bigger size for a poster

a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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