-3 (p + 7) can you help me and explain this please and thank you!

Answer:

b = 5/12

Step-by-step explanation:

1. Cross multiply -> 1 x 5 = 5 and 3b x 4 = 12 b

2. Simplify -> 5 = 12b and switch sides so it's easier: 12b = 5

3. Divide both sides by 12 -> 12b ÷ 12 = b and 5 ÷ 12 = 5/12

4. So, the answer is b = 5/12

Hope this helps! :)

Use symbolab, it's very helpful

Answer:

The answer is 2 2/5

Step-by-step explanation:

Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

This is a technique used to change the position or size of an object on the xy plane.

Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'

If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)

If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)

If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)

Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

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To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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Answer:

909

Step-by-step explanation:

I'm not sure if I'm right plz tell me if I'm wrong

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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The simplified radical for the given equation is 2√3.

The given equation is \(\frac{3}{x} =\frac{x}{4}\).

Radical of any number is the same as the root of the number. The root can be a square root, cube root, or in general, it is nth root. Thus, any expression or number that uses a root is known as a radical.

To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as follows:

\(\frac{3}{x} =\frac{x}{4}\)

⇒x×x=3×4

⇒x²=12

⇒x=±√12

From this, we can see that the solutions for the equation are the positive and negative roots of 12.

By simplifying the radical, we get √12 = √(2² x 3) = 2√3

Therefore, the simplified radical for the given equation is 2√3.

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The probability that a four-digit palindrome is a multiple of 99 can be found by dividing the number of four-digit palindromes that are multiples of 99 by the total number of four-digit palindromes. A four-digit palindrome has the form ABBA, where A and B are digits from 1 to 9. A multiple of 99 has the form 99x, where x is an integer from 1 to 99. The number of four-digit palindromes that are multiples of 99 is 9 (since A cannot be 0) and the total number of four-digit palindromes is 90 (since there are 9 choices for A and B). Therefore, the probability is 9/90 or 1/10.

To solve this problem, we need to understand what a four-digit palindrome and a multiple of 99 are. A four-digit palindrome is a number that reads the same backward as forward, such as 1221 or 7337. A multiple of 99 is a number that can be written in the form 99x, where x is an integer. For example, 99, 198, and 297 are multiples of 99.

To find the probability that a four-digit palindrome is a multiple of 99, we first need to determine how many four-digit palindromes there are. Since the first digit can be any number from 1 to 9 and the second digit can also be any number from 1 to 9 (since it needs to be different from the first digit), there are 9 x 9 = 81 possible choices for the first two digits. The third digit must be the same as the first digit, and the fourth digit must be the same as the second digit. Therefore, there are only 9 possible choices for the third and fourth digits.

Next, we need to determine how many of these four-digit palindromes are multiples of 99. To do this, we can list all the possible four-digit palindromes that are multiples of 99. We find that there are only 9 such numbers: 1100, 1210, 1320, 1430, 1540, 1650, 1760, 1870, and 1980. Therefore, the probability that a four-digit palindrome is a multiple of 99 is 9/90 or 1/10.

The probability that a particular four-digit palindrome is a multiple of 99 is 1/10. This can be found by dividing the number of four-digit palindromes that are multiples of 99 (9) by the total number of four-digit palindromes (90). Therefore, if we are given a four-digit palindrome, there is a 1/10 chance that it is a multiple of 99.

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Answer:

10.66

Step-by-step explanation:

16/3 = 5.3

5.3 x 2 = 10.66

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The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

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2.5(cos 5π/6  + i sin 5π/6) is the polar form  of the complex number

Complex numbers are numbers that are expressed in the form of a+ib, where a and b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1)

Given: the complex number (5√3)/4 - 5/4 i

In polar form:

(5√3)/4 - 5/4 i = r(cosθ + isinθ)

θ  = tan⁻¹( (-5/4) / (5√3 /4) )

θ = -30°

θ = -30+180 = 150°

θ = 5π/6

r = √( (5√3)/4)² +(- 5/4)²) = 2.5

Thus,

(5√3)/4 - 5/4 i = r(cosθ + isinθ)

r(cosθ + isinθ) = 2.5(cos 5π/6  + i sin 5π/6 )

Therefore, the polar form  of the complex number is 2.5(cos 5π/6  + i sin 5π/6)

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In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.

The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.

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Answer:

% English dictionary, words common to American and British

% spelling; must add one out of each of the pairs

%   colour/color.dic

%   labelled/labeled.dic

%   centre/center.dic

%   ize/ise.dic

% Extracted from US.dic and UK.dic, but with the 2 and 3 letter words

%  of US.dic only.

% Patrick W. Daly   1998/05/19

% Update:  2000/03/02

% remove -yze and -yse words to yse.dic and yze.dic

% move advertise to here (is never advertize)

Step-by-step explanation:

Answer:

The sale tax in this state is 6%

Step-by-step explanation:

In order to find out the the sales tax we first have to create a fraction which has the difference between the price with taxes and without taxes, as its numerator, and the price without taxes as its denominator. So we do...

\(\frac{12.72-12.00}{12.00} = \frac{1272 - 1200}{1200} = \frac{72}{1200} = \frac{3}{50}\)

Now we just have to find a fraction with the same value but with a denominator being 100. So in out case we do....

\(\frac{3}{50} = \frac{(3)(2)}{(50)(2)} = \frac{6}{100}\)

Since we know that 1% is equal to \(\frac{1}{100}\) we know that \(\frac{6}{100}\) also means 6%. Therefore the answer is 6%

Answer:

C

Step-by-step explanation:

The diagonals of a rectangle are congruent, then

5x - 31 = 2x + 11 ( subtract 2x from both sides )

3x - 31 = 11 ( add 31 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Then

RT = 2x + 11 = 2(14) + 11 = 28 + 11 = 39

The diagonals are each 39 units

Answer:

d=3

Step-by-step explanation:

so yu do 18+18 and yu get 36 and then you do 43+3 vause that is how muvk the lockers cost

Answer:

$2

Step-by-step explanation:

Fees = $18

Locker fee =$d

Total cost for 2 people,including locker for 2 people

=$40

2($18 + d) = $40

$36 +2d = $40

2d = $4

d = $2

if you want to check

Fees for one people =$18

Two people =$18 × 2 = $36

Total cost for 2 people - locker for 2 people = $40 - $ 2($2) = $40 - $4 = $36

Answer:

800

Step-by-step explanation:

100 * 40/5 = 800

basic conversion method

0.5  is the p-value for this Z -test .

What is the Z test's p-value?

For a lower tail test, the test statistic z is determined to be zero that means

P(z<0)

Then p-value is

p-value = P(z<0) = 0.5 (From z score table )

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\(~~(2x+7x^2 -9)+(3x^3 -7x^2 +10)\\\\=2x +3x^3+7x^2 -7x^2 -9+10\\\\=3x^3 +2x +1\)

The total number of red cars is 34, the total number of blue cars is 36, and the total number of silver cars is 70.

The ratio problems can be solved as follows:

11. The total number of red cars can be calculated as follows:

Number of red car in the first car park = (1 / (1 + 2 + 3)) * 60 = 10

Number of red car in the second car park = (3 / (2 + 3 + 5)) * 80 = 24

Total number of red cars = 10 + 24 = 34

12. The total number of blue cars can be calculated as follows:

Number of blue car in the first car park = (2 / (1 + 2 + 3)) * 60 = 20

Number of blue car in the second car park = (2 / (2 + 3 + 5)) * 80 = 16

Total number of blue cars = 20 + 16 = 36

13.  The total number of silver cars can be calculated as follows:

Number of silver car in the first car park = (3 / (1 + 2 + 3)) * 60 = 30

Number of silver car in the second car park = (5 / (2 + 3 + 5)) * 80 = 40

Total number of silver cars = 30 + 40 = 70

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Step-by-step explanation:

the volume of a cylinder (as any other fully symmetric 3D object) is

base area × height

the area of a circle is

pi×r²

this is in our case

pi×6²×16 = pi×36×16 = 576pi = 1,809.557368... cm³

1 liter fits into a cube of 10 cm side length (10×10×10 = 1000 cm³).

so, the paint can will contain

1,809.557368... / 1000 = 1.809557368... liters of paint.

Answer:

23

Step-by-step explanation:

                                                             y = 23

An equivalent expression to \(7k^2\), where k is an even number, is \(28n^2\), where n is an integer.

If k is an even number, then we can write k as 2n, where n is some integer. Substituting this into \(7k^2,\) we get:

\(7(2n)^2= 7(4n^2)\)

\(= 28n^2\)

Therefore, an equivalent expression to \(7k^2\), where k is an even number, is \(28n^2\), where n is an integer.

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z.

Integers come in three types:

Zero (0)

Positive Integers (Natural numbers)

Negative Integers (Additive inverse of Natural Numbers)

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Answer:

24

Step-by-step explanation:

Setting x as the number of salami sandwiches:

2/5 = x/60

Cross-multiplying: 5x = 2 × 60

Simplifying: 5x = 120

Division: x = 24

Step-by-step explanation:

When adding or subtracting fractions, they must have a common denominator....20 is the easiest for these...this then becomes

b +  16/20  = 35/20     now subtract 16/20 from both sides of the equation

b = 35/20 - 16/20

b = (35-16)/20 =  19/20      

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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Answer:

P ( 3 ) = 16

the remainder is  

P ( a )

Answer:

0.6563 flour left

Step-by-step explanation:

1/4 of .875 is .2187

Answer:

Step-by-step explanation:

1/4*0.875= 7/32

so 0.875, there are 4 7/32 kgs

and she used 1 of it

so there are 3 left

3*7/32= 21/32