Patrick, Hall, Belvedere, and Shaq collect posters. Patrick has 60
posters. Hall has a fourth as many posters as Patrick. Belvedere has 4
times as many posters as Hall. Shaq has 6 less posters than
Belvedere. How many posters do Patrick, Hall, Belvedere and Shaq
have altogether?

Answer:

21+32x

Step-by-step explanation:

a. The missing values of the logarithm expression is log₃(40).

b. The missing values of the logarithm expression is log₅(8).

c. The missing values of the logarithm expression is  log₂(1/25).

The missing values of the logarithm expression is calculated as follows;

(a). log₃5 + log₃8, the expression is simplified as follows;

log₃5 + log₃8 = log₃(5 x 8) = log₃(40)

(b). The log expression is simplified as;

log₅3 - log₅X = log₅3/8

log₅X = log₅8

X = 8

(c).  The log expression is simplified as;

-2log₂5 = log₂Y

log₂5⁻² = log₂Y

5⁻² = Y

1/25 = Y

Learn more about logarithm expression here: https://brainly.com/question/28041634

#SPJ1

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

Answer: 207^2 + 9km^2 = 216km^2

Step-by-step explanation:

(my explanation is wrong)

All you want to do is break this figure up into rectangles and triangles.

I see 3 rectangles and 1 triangle.

Three Rectangles:

The bottom one has the dimension of 5 and 20. 5 x 20 = 100 km^2

The middle one has the dimensions of 5+4 and 7. 9 x 7 = 63 km^2

The top one has the dimensions of 4 and 11. 4 x 11 = 44 km^2

Add them all up to get 207km^2

One Triangle:

We can see at the bottom rectangle that the left side is 5 and the right side is 3 + x. X being our missing height of the triangle. The height equals 2.

The triangle now has the dimensions of 2 and 6. 2 x 6 = 12. Then divide by 2 to get 6 km^2

Answer:

216 km²

Step-by-step explanation:

To solve this, you have to divide the figure into different parts.  I divided the parts up into four sections.  I will work on the parts in numerical order.

1.  At the top of the rectangle, it is marked 4 km. On the left side, it is marked 11 km.  This is the length and width.

A = lw

A = 11 × 4

A = 44 km²

2.  On the left side of this rectangle, it is marked 7 km.  At the top it is marked 5 km, but there is a portion that does not have a measurement (the part with a different color than the rest.  Because this line is also part of rectangle 1, we know that the line is 4 km.  Adding up the two numbers gives you 9 km.  

4 + 5 = 9

A = lw

A = 7 × 9

A = 63 km²

3.  On the left side, it is marked 5 km.  On the bottom, it is marked 20 km.

A = lw

A = 20 × 5

A = 100 km²

4.  This is one is a bit more tricky.  This is a triangle, so we have to find the base and the height.  The base is 6 km.  You have to figure the height.  Look at the picture with the red lines.  

The red line on the right side has a length of 17 + 3 + x = 20 + x.  The length is 20 + x because there is a portion of the line that is missing.

The red lines on the left side have a length of 5 + 7 + 11 = 23.  The two side should be equal so

23 = 20 + x

x = 3

Now, you have the height.  Use the equation for area of a triangle to solve.

A = 1/2bh

A = 1/2(3)(6)

A = 1/2(18)

A = 9 km²

Now you have to add up all the areas to find the total area.

44 km² + 63 km² + 100 km² + 9 km² = 216 km²

Answer:

Option A

Step-by-step explanation:

Given the following question:

\(9+(\frac{1}{2})^4\times48\)

In order to find this, answer we use order of operations and solve.

\(9+(\frac{1}{2})^4\times48\)
\(\frac{1}{2} ^4=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}\)
\(9+\frac{1}{16} \times48\)
\(\frac{1}{16} \times48=\frac{1}{16}\times\frac{48}{1} =\frac{3}{1} =3\)
\(9+3\)
\(9+3=12\)
\(=12\)

Which means your answer is option A or "12."

Hope this helps.

Answer:

30 and 36

Step-by-step explanation:

six times two equals 12

6 * 3 = 18

and six times four equals 24.

to get the next two multiples, You need to multiply 6 by 5, and then 6

6 * 5 = 30 and 6 * 6 = 36

Answer:

The set D has 5 elements - 3, 6, 9, 12, and 15, all of which are multiples of 3.

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

Learn more about rotation here:

https://brainly.com/question/30337265

#SPJ1

In the  word problem above, 0 small pizzas, 1 medium pizza, and 5 large pizzas were delivered to the college.

Let  S = number of small pizzas delivered

Let M = number of medium pizzas delivered

Let L = number of large pizzas delivered

We'll start by solving equation 1 for one variable and substituting it into the other equations.

S + M + L = 12

We can rewrite this equation as -

S = 12 - M - L

Now, substitute this value of S in equations 2 and 3 -

4S + 10M + 15L = 109

4(12 - M - L) + 10M + 15L = 109

48 - 4M - 4L + 10M + 15L = 109

6M + 11L = 61

2S + 4M + 13L = 81

2(12 - M - L) + 4M + 13L = 81

24 - 2M - 2L + 4M + 13L = 81

2M + 11L = 57

Now we have a system of two equations with two variables -

6M + 11L = 61 ...(4)

2M + 11L = 57 ...(5)

Subtract  equation   (5)from equation (4) -

(6M +   11L) - (2M +11L) = 61 - 57

4M = 4

M = 1

Substitute the value of M into equation (5) -

2(1) + 11L = 57

2 + 11L = 57

11L = 55

L = 5

Now substitute the values of M and L into equation (1) -

S + 1 + 5 = 12

S + 6 = 12

S = 6 - 6

S = 0

Therefore, the solution is -

S = 0 (no small pizzas)

M = 1 (1 medium pizza)

L = 5 (5 large pizzas)

Learn more about word problem at:

https://brainly.com/question/21405634

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

a pizza shop delivered 12 pepperoni pizzas to a college on the first night of final exams. the total cost of the pizzas was $109. a small pizza costs $4 and contains 2 ounces of pepperoni. a medium pizza costs $10 and contains 4 ounces of pepperoni. a large pizza cost $15 and contains 13 ounces of pepperoni. the owner of the pizza shop used 5 pounds 1 ounces of pepperoni in making the 12 pizzas. how many pizzas of each size were delivered to the college?

The value of n(AUB) i.e. union of A and B is 53.

What are Intersections and Unions in Probablity?

The union of two sets results in a new set that contains all of the items from both sets. The union is abbreviated as A∪B or "A or B." The intersection of two sets yields a new set containing all of the members from both sets. The junction is denoted by the letters A∩B or "A and B."

Solution:

Given that,

n(A) = 14

n(B) = 51

n(A∩B) = 12

We know that thee formula is n(AUB) = n(A) + n(B) - n(A∩B)

Putting the values,

n(AUB) = 14 + 51 - 12 = 53

So, the answer for the value of n(AUB) = 53

To learn more about Intersections and Unions from the given link

https://brainly.com/question/28278437

#SPJ1

Answer:

-2

2

Step-by-step explanation:

just use common sense. what does "local maximum" mean ?

it means a point, where the curve in the nearest neighborhood does not have a higher value. where the curve comes from smaller values, turns around and leaves with smaller values again.

(a) there is one point in this graph : at x = -2

(b) and that maximum value at that point is y = 2

Answer:

12 apples is the answer because 1/2 divided by 6 is 12

Step-by-step explanation:

Answer:

Cry about it wah wah wahhhhhhhh

Step-by-step explanation:

The height of the triangle is 4.68 cm and base of the triangle is 21.36 cm.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Base of triangle is twelve more than twice its height.

Also, area of triangle = 50 square centimeters.

Let height of the triangle is x cm,

Therefore, the base of triangle will be 2x+12 cm.

The area of triangle = 50

1/2 × (2x+12) × x = 50

x (x+6) = 50

x² + 6x -50 = 0

By solving the equation,

x = -3 + √59 and -3 - √59

Length can not be negative,

Therefore, x = -3 + √59 or x = 4.68114

Height of triangle = 4.68 cm

Base of triangle = 21.36 cm

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ1

Population of Planet Eenie is  1.4 × \(10^{3}\) times greater than the population of Planet Meenie.

Two planets named Eenie and Meenie.

Population of  Planet Eenie = 72,980,001

Population of  Planet Meenie =  54,908

We need to find how many times greater is the population of Planet

Eenie than the population of Planet Meenie. So, we need to follow the steps written below:

( Population of  Planet Eenie / Population of  Planet Meenie )

= ( 72,980,001 / 54,908 )

= 1329.1323

= 1.33 × \(10^{3}\)

This calculated value is near option 2 i.e., 1.4 × \(10^{3}\). So,  1.4 × \(10^{3}\) is the correct option.

To know more about Problems related to population refer to the link:

https://brainly.com/question/25896797

#SPJ1

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

x² + 9x + 8

Step-by-step explanation:

Step 1: FOIL

x² + 8x + x + 8

Step 2: Combine like terms

x² + 9x + 8

Answer:

x^2 + 9x + 8

Step-by-step explanation:

(x + 1)(x + 8)

x(x + 1) +8(x + 1)

x^2 + x + 8x +8

x^2 + 9x + 8

The number of order of each aircraft is an illustration of simultaneous equations.

You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s

To do this, we make use of the following representations:

From the question, we have the following equations

\(\mathbf{330A + 270B + 240C = 5850}\) ----the number of passengers

\(\mathbf{B + C = 2A}\) --- the relationship between the number of planes

\(\mathbf{250A + 200B + 240C =4950 }\) --- the budget

Make A the subject in \(\mathbf{B + C = 2A}\)

\(\mathbf{A=\frac{1}{2}(B + C)}\)

Substitute \(\mathbf{A=\frac{1}{2}(B + C)}\) in \(\mathbf{330A + 270B + 240C = 5850}\)

\(\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}\)

\(\mathbf{165B + 165C + 270B + 240C = 5850}\)

\(\mathbf{435B + 405C = 5850}\)

Divide through by 15

\(\mathbf{29B + 27C = 390}\)

Make C the subject

\(\mathbf{C = \frac{390 - 29B}{27}}\)

Substitute \(\mathbf{A=\frac{1}{2}(B + C)}\) in \(\mathbf{250A + 200B + 240C =4950 }\)

\(\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }\)

\(\mathbf{125B + 125C + 200B + 240C =4950 }\)

\(\mathbf{325B + 365C =4950 }\)

Divide through by 5

\(\mathbf{65B + 73C =990}\)

Substitute \(\mathbf{C = \frac{390 - 29B}{27}}\)

\(\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}\)

Multiply through by 27

\(\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}\)

\(\mathbf{1755B+ 28470 - 2117B =26730}\)

Collect like terms

\(\mathbf{1755B- 2117B =26730 - 28470}\)

\(\mathbf{-362B =-1740}\)

Solve for B

\(\mathbf{B =\frac{1740}{362}}\)

\(\mathbf{B =5}\) --- approximated

Substitute \(\mathbf{B =5}\) in \(\mathbf{C = \frac{390 - 29B}{27}}\)

\(\mathbf{C = \frac{390 - 29 \times 5}{27}}}\)

\(\mathbf{C = \frac{245}{27}}}\)

\(\mathbf{C = 9}\) --- approximated

Recall that: \(\mathbf{A=\frac{1}{2}(B + C)}\)

So, we have:

\(\mathbf{A = \frac{1}{2} \times (5 + 9)}\)

\(\mathbf{A = \frac{1}{2} \times 14}\)

\(\mathbf{A = 7}\)

Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s

Read more about simultaneous equations at:

https://brainly.com/question/16763389

Answer:

za

Step-by-step explanation:

thanks for the free points

Answer:

60% increase

Step-by-step explanation:

152 - 95 = -57

57 / 95 = 0.6

0.6 x 100 = 60

Answer:

As an autistic dyslexic person, i can confirm your question is held in a silly way as possible

Mr. Mensah will pay 247.5 each month to the social security fund because 5.5% of 4500 is 247.5.

The total monthly salary of Mr. Mensah is 4500.

He is required to pay 5.5% of his salary into a social security fund.

Now, we have to find the amount he has to pay each month into the social security fund.

To find that, we need to find the value of 5.5 percent of 4500.

4500 ×5.5/100

45×5.5

247.5

Therefore, 5.5% of 4500 is 247.5.

To know more about Percentages, click on: https://brainly.com/question/31323953.

Answer:

OB

Step-by-step explanation:

When you deduct something it means an intelligent reasoning based on given information for prediction.

In the above case we have a given formula from which we can deduct the facts .

We see a general statement is given from there we get a specific value.

By the way the formula given meant n(n+2)/ 2

The correct option is B. This is deductive reasoning because a specific conclusion is being proved from a general statement. This is obtained by checking the requirements of deductive reasoning.

Hence this is deductive reasoning because a specific conclusion is being proved from a general statement.

Learn more about reasoning process here:

brainly.com/question/14265467

#SPJ2

Answer:

AB = 10.398

Step-by-step explanation:

By cosine rule, we have:

AB² = AC² + BC² - 2(AC)(BC)cos(ACB)

⇒ AB² = 7² + 10² - 2(7)(10)cos(73)

⇒ AB² = 49 + 100 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140(0.292)

⇒ AB² = 149 - 40.88

⇒ AB² = 108.12

⇒ AB = √(108.12)

⇒ AB = 10.398