solve for n.
5z=7n+8nz

Answer:

x ≤ -3 or x ≥ 3

Step-by-step explanation:

Answer:

To solve this inequality, you can start by isolating the absolute value term on one side of the inequality. To do this, you can subtract 9x from both sides, which gives you:

|9x| - 9x ≥ 27 - 9x

|9x| - 9x ≥ -9x

Next, you can apply the properties of absolute values to simplify the expression. The absolute value of a number is always positive, so the absolute value of any expression will be equal to the expression itself if it is positive, and equal to the negative of the expression if it is negative.

Since the inequality is "greater than or equal to," you need to consider both cases.

If 9x is positive:

9x - 9x ≥ -9x

0 ≥ -9x

x ≤ 0

If 9x is negative:

-9x - 9x ≥ -9x

-18x ≥ -9x

-9x ≥ 0

x ≤ 0

In both cases, the solution is x ≤ 0. This means that any value of x that is less than or equal to 0 will satisfy the inequality.

To write this solution in interval notation, you can use the notation [0,∞) to represent all values of x that are greater than or equal to 0. Alternatively, you can use the notation (-∞,0] to represent all values of x that are less than or equal to 0.

Step-by-step explanation:

Answer:

y = -2x + 1

Step-by-step explanation:

The y-intercept is given by the point that is on the y-axis. (1)

This means that the answer contains a +1

Then you must find  if the slope is positive or negative

In this case the slope is negative because the line goes "downhill" from left to right

Since the slope is negative it means that there will be a negative sign in the beginning of the equation

Next, to find the slope you need to find the rise over run

Since it is a negative slope the rise will be negative and the run will be positive.

To find the slope find two clear points on the graph such as (0,1) and (2,0)

To find the slope, use the slope formula

This would look like: (0-2)/(1-0)

Your slope will be -2x

Piece it all together and you get a final answer of y= -2x+1

Answer:

Explanation:

Here, we want to get the probability of picking two vowels in a row

The letters of a vowel are:

A , E , I , O , U

Let us sum up the number of tiles for all vowels:

We have that as the sum of the number of tiles of each of the vowels

Mathematically, we have that as:

9 + 12 + 9 + 8 + 4 = 42

The probability of picking a vowel is the number of vowel tiles divided by the total number of tiles

We have that as:

Now, we are not replacing the first vowel and we are going for another pick

The total number of vowel tiles is now 41 while the total number of tiles is 99

The probability of picking a vowel now will be:

Finally, we have the probability of picking two vowels in a row as the product of the two probabilities above

Mathematically, we have that as:

The mass of the fifth man is 153 kg.

The mean mass of five men is 76 kg.

The masses of four of the men are 72 kg, 74 kg, and 81 kg.

To solve this problem, we need to apply the concept of the mean of a set of data.

The mean is the average of all the values in a set of data.

It is calculated by adding up all the values and dividing by the total number of values in the set.

To find the mass of the fifth man, we need to use the mean of the entire set and the masses of the four men that are already given.

The formula to find the mean of a set of data is:

\(Mean = \frac{(sum of all the values)}{(total number of values)}\)

Let x be the mass of the fifth man.

Then we can write an equation using the given information:

\(Mean = \frac{(72 + 74 + 81 + x)}{5}\)

Substitute the given mean of 76 kg into the equation and solve for x:

\(76 = \frac{(72 + 74 + 81 + x)}{576 × 5} = 227 + x\)

Multiply both sides by 5:

\(380 = 227 + x\)

Subtract 227 from both sides:

\(153 = x\)

Therefore, the mass of the fifth man is 153 kg.

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Answer: 8/9 is rational

.2593 irrational

square root of 7: irrational

square root of .25 is rational

square root of 14: irrational

0 is a: rational

square root of 280: irrational

square root of 35: is irrational

.2222: is rational

square root of 3r is a rational number......

Step-by-step explanation:

David baked a total of 540 cakes, which included ginger cake, banana cake.To obtain quantities of each type of cake, we would need additional information, such as the proportion or ratio of each cake type is required.

The question states that David baked 540 cakes in total. However, it does not provide information about the distribution or quantities of each type of cake (ginger cake, banana cake, orange cake, and fruit cake). Therefore, we cannot determine the number of cakes baked for each type based on the given information alone.

To obtain the quantities of each type of cake, we would need additional information, such as the proportion or ratio of each cake type or specific numbers assigned to each category. Without this information, we can only conclude that David baked a total of 540 cakes without knowing the breakdown by cake type.

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Answer:  not sure. but as long as he saves his money wisely and doesn't spend frivilously

Step-by-step explanation:

The money the student owe is $7500 + other terms

A loan is a type of debt that a person or other entity incurs. The lender advances the borrower a certain amount of money, typically on behalf of a business, financial institution, or government.

The borrower accepts a specific set of terms in return, which may include any

In a loan there are terms that should be agreed, In the problem the terms where not specified . The terms will say if the student is still owing more than the about just borrowed

another important thing is the duration of the loan

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The approximate population of the city in the year 2038 is 76,501 people.

To approximate the population of the city in the year 2038, we need to plug in the appropriate value for t in the equation P(t) = 46,700(1.025)^t. Since t represents the number of years since 2018, we can find the value of t by subtracting 2018 from 2038:

t = 2038 - 2018 = 20 years

Now, plug in the value of t into the equation:

P(20) = 46,700(1.025)²⁰

Next, calculate (1.025)²⁰:

(1.025)²⁰ ≈ 1.639

Now, multiply this result by 46,700:

P(20) ≈ 46,700 * 1.639 ≈ 76,501.3

Finally, round the result to the nearest whole number:

P(20) ≈ 76,501

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The probability that the plant will die when you're on vacation is 0.645 or 0.726 (rounded to three decimal places).

The probability that the plant will die when you're on vacation is 0.726. Here's how to get it:

Given that without water, the plant will die with probability 0.85, and with water, it will die with probability 0.6. Then, the probability that the plant will survive is:

1 - probability of dying without water - probability of dying with water= 1 - 0.85 - 0.6= -0.45 (Not possible since probability cannot be negative)

Thus, the probability that the plant will die is 0.45. Also, given that you are 82% certain that the neighbor will remember to water the plant, the probability that they will forget to water it is 1 - 0.82= 0.18.Then, the probability that the plant will die if the neighbor forgets to water it is 0.85, and the probability that it will die if the neighbor waters it is 0.6.

Using the law of total probability, the probability that the plant will die is:

P(Die) = P(Die | Water) P(Water) + P(Die | No water) P(No water)

Now substituting in the given values:

P(Die) = 0.6 × 0.82 + 0.85 × 0.18= 0.492 + 0.153= 0.645

Thus, the probability that the plant will die when you're on vacation is 0.645 or 0.726 (rounded to three decimal places).

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So, on  solving the provided question, we can say that  to form a inequality - x * y > 8

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here to form a inequality-

let x = goals by each player

y = no. of players

x * y > 8

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a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{24}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{24}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 16 }{ 2 } \implies 8\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 8}(x-\stackrel{x_1}{1}) \\\\\\ y-8=8x-8\implies {\Large \begin{array}{llll} y=8x \end{array}}\)

Answer:

\(y=8x\)

Step-by-step explanation:

We can see that this line has a constant of proportionality. That is — x is proportional to y and vice versa. This means that the equation for the line's equation will be in the form:

\(y = mx\)

where \(m\) is the ratio of x to y.

This ratio is also known as the line's slope. We can solve for the slope using the equation:

slope = rise / run

slope = \(\Delta\)y / \(\Delta\)x

slope = 8 / 1

slope = 8

\(m=8\)

So, the equation of the line is:

\(y=mx\)

\(\boxed{y=8x}\)

Answer: 4

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

A. 4.8E22

steps

multiply 8 x 6 which 48

add all the zeroes....

there are 16 zeroes after 6

there are 5 zeroes after 8

that makes 21

that gives you

48 x 10^21

then put a decimal point after the 4

which add 1 more to the exponent 21

48 x 10^21 -> 4.8 x 10^22

Answer:

  (3, 3)

Step-by-step explanation:

The translation moves the point to the right 8 units. The reflection over the x-axis changes the sign of the y-coordinate.

__

A translation vector adds its components to the x- and y-coordinates of the point being translated.

  (x, y) ⇒ (x, y) +(8, 0) = (x +8, y) . . . . . translation by <8, 0>

__

The line y=0 is the x-axis. The y-coordinate of a point is the distance of that point from the x-axis. Reflection in the x-axis changes the sign of the y-coordinate, moving the point to an equal distance on the other side of the x-axis.

  (x, y) ⇒ (x, -y) . . . . . reflection in the x-axis

__

The net effect of both transformations is ...

  (x, y) ⇒ (x +8, -y)

Then the translated and reflected point A will be ...

  A(-5, -3) ⇒ A'(-5+8, -(-3)) = A'(3, 3) . . . . coordinates of the image point

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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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The ratio of students who secured grades A,B,C and D​ is 9 : 15 : 4 : 2

From the question, we have the following parameters that can be used in our computation:

Students = 60

A = 18

B = 30

C = 8

D = 4

When represented as a ratio, we have

Ratio = A : B : C : D

substitute the known values in the above equation, so, we have the following representation

A : B : C : D = 18 : 30 : 8 : 4

Simplify

A : B : C : D = 9 : 15 : 4 : 2

Hence, the ratio of students who secured grade A,B,C and D​ is 9 : 15 : 4 : 2

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Answer:

x = 14.25

Step-by-step explanation:

7(x-9)=3(x-2)

Follow the distributive property

7x - 63 = 3x - 6

Add 63 to both sides

7x = 3x + 57

Subtract 3x from both sides

4x = 57

Divide both sides by 4

x = 14.25

Answer:

the answer is 14.25 or 14 1/4

Step-by-step explanation:

Answer:

x=y

Step-by-step explanation:

The correct steps to transform equation x² + 10x + 24 = 0 into the form (x - p)² = q are:

Step 1   x² + 10x + 24 + 1 = 0 + 1

Step 2  x² + 10x + 25 = 1

Step 3  (x + 5)² = 1

In this question, we have been given an equation x² + 10x + 24 = 0

We need to transform given equation x² + 10x + 24 = 0 into the form (x - p)² = q

x² + 10x + 24 = 0                    .............(Given equation)

x² + 10x + 24 + 1 = 0 + 1          ............(Add 1 to each side)

x² + 10x + 25 = 1

x² + 2(5)x + 5² = 1

(x + 5)² = 1

Therefore, the correct steps to transform equation x² + 10x + 24 = 0 into the form (x - p)² = q are:

Step 1   x² + 10x + 24 + 1 = 0 + 1

Step 2  x² + 10x + 25 = 1

Step 3  (x + 5)² = 1

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\(\\ \sf\longmapsto \dfrac{7}{x-5}=\dfrac{5}{x+7}\)

\(\\ \sf\longmapsto 7(x+7)=5(x-5)\)

\(\\ \sf\longmapsto 7x+49=5x-25\)

\(\\ \sf\longmapsto 7x-5x=-25-49\)

\(\\ \sf\longmapsto 2x=-74\)

\(\\ \sf\longmapsto x=\dfrac{-74}{2}\)

\(\\ \sf\longmapsto x=-37\)

Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Technically, you're distributing the expression in parentheses to the one in the other set of parentheses. Or in another way, you're distributing one number to 2 terms, then another, then the opposite way twice.

Answer:

Range = 5

Mode = 7

Step-by-step explanation:

To find range we first need to find the highest number and the lowest number

3 , 4 , 4 , 7 , 7 ,7 ,7 7, 8

least number = 3

highest number = 8

now substract the lowest number from the highest to get the range

= 8-3

= 5

range = 5

Mode : the most common number in the list will be our mode

7 is our mode as it came 5 time in the list

The total cost of Lacey's lesson a function of the number of hours scheduled is \(f(x)=\left \{ {{(10 + 5)x, x\leq 3} \atop {10x, x > 3}} \right.\) and this one refers the function.

In math the term called function is known as a correspondence from one value x of the first set A to another value y of the second set B and it relates inputs to outputs.

Here we have know that Lacey pays $15 for each hour of golf lesson and $10 for equipment rental.

And here we have also know that If the lesson is more than 3 hours long she only pays $5 for equipment rental.

Let us consider that x be the amount time she has been taking lessons.

Then the function can be written as,

\(f(x)=\left \{ {{(10 + 5)x, x\leq 3} \atop {10x, x > 3}} \right.\)

While we looking into it we have identified that the given situation will create the function.

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The following steps are used to calculate the size of the picture.

Size

Size defines the exact measurement of the particular object.

Given,

Here we need to find the way to calculate a size of a picture.

in order to calculate the size of the picture, we have to do the following steps.

First, we have to multiply the width and height of the image, in pixels, to get the total pixel count.

And then we have to multiply the total pixel count by 3 to get the image size in bytes.

Finally, we have to divide the number of bytes by 1024 to get the image size in kilobytes.

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The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.

Box A: The plot that matches Box A is a thrilling mystery. The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.

As the detective investigates, they discover that the tickets with the number "1" are linked to a notorious gang involved in illegal activities. The tickets labeled "2" lead the detective to a secret society that uses the tickets for initiation rituals.

The plot unfolds as the detective races against time to unravel the connections between the tickets and bring the culprits to justice.

Box B: The plot that matches Box B is a heartwarming tale of friendship and adventure. The protagonist, a young child, finds one of the tickets labeled "3" and realizes it grants them access to a magical world. In this world, they meet a group of unique and colorful characters who also possess tickets labeled "5."

Together, they embark on a journey to restore harmony to their realm, battling against an evil force that seeks to exploit the power of the tickets. Through their shared experiences, the group learns valuable lessons about courage, loyalty, and the true meaning of friendship.

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The y intercept based on the information will be (0,29)

We want to find the value of the y-intercept for the given function.

The y-intercept is (0,29)

First, we define the y-intercept as the value of the function when evaluated in x = 0.

Here the given function is:

h(x) = 29*(5.2)ˣ

It should be noted that too get the y-intercept we just need to evaluate this at x = 0, then we get:

h(0) = 29*(5.2)⁰ = 29

The y-intercept is (0 29)

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Answer:

Step-by-step explanation:

so the problem is 7 cookies in 1 minutes which is 7 x1 but if we want to know how many we have in 2 minutes we would have to multiply by 2 not 1. so we do 7x2 which is 14. 14 cookies in 2 minutes