Simplify : a) 2(x 2 + y 2 ) + 3 ( x 2 − y 2 )

The inequality describes the problem of a local ice cream shop has a parking lot with enough space for 18 cars is x + 7 ≤ 18

In mathematics, an inequality describes a relationship between two values of an algebraic expression that are not equal. “If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then, this relationship is called an inequality." For example, x>8 (x should be greater than 8).

We have, a local ice-cream shop has a parking lot with enough space.

The maximum number of cars will be parked in parking lot = 18.

At right now, the number of cars in parking lot= 7. Let assume that x be number of more cars can park in the lot. We have to express this in form of an Inequality. Total cars in parking lot = 7 + x but this number of cars cannot exceed the 18 , so x + 7 ≤ 18

Hence, required Inequality is x + 7 ≤ 18.

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Answer:

66 2/3 % Markup

Step-by-step explanation:

1) Subtract the two numbers.

2.07 - 0.69 = 1.38

2) Divide the difference of the subtraction problem by 2.07, the value of the marked up cards.

1.38/2.07 = 2/3

3) Because percent means divided by 100, multiply 2/3 (0.6666...) multiplied by 100 as a fraction because x/100 x 100 = x.

66 2/3 % Markup

The slope of the line y = 10x + 3 is 10

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the change of the output values to the input values

Hence in the equation of the form y = 10x + c when compared with the equation of line in slope intercept form y = 10x + c

We can see that m which is the slope is 10

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Answer: 603

Step-by-step explanation:

3.14 x radius x radius x 12

Answer: In right angled triangle

Length of square of biggest side it's equal to length sum of square of two other sides

(11)² = (9)² + (10)²

121 = 81 + 100

121 = 181

So it is not a right angled triangle

Step-by-step explanation:

The total number of visitors to the zoo that day was 47,750, with 6,780 adults and 40,680 children.

Let a = number of adults

Let c = number of children

a + c = 47,750

c = 6a + 270

Substitute c in the first equation:

a + 6a + 270 = 47,750

7a = 47,480

a = 6,780

Substitute a in the second equation:

c = 6(6,780) + 270

c = 40,680

The total number of visitors to the zoo that day was 47,750, with 6,780 adults and 40,680 children.

The zoo was visited by 47,750 individuals. 40,680 of these visitors were youngsters under the age of 17 while 6,780 were adults 18 years and older.

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Answer:

DF = 24

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion.

[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] ( substitute values )

[tex]\frac{DF}{4}[/tex] = [tex]\frac{36}{6}[/tex] = 6 ( multiply both sides by 4 )

DF = 4 × 6 = 24

Answer:

x and y are inversely proportional , constant of proportion k = 30

Step-by-step explanation:

If x and y are inversely proportional then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion

multiply both sides by y , then

k = xy

to check that k is constant use the ordered pairs from the table

(0.1, 300 )

k = 0.1 × 300 = 30

(0.5, 60 )

k = 0.5 × 60 = 30

(75, 0.4 )

k = 75 × 0.4 = 30

(100, 0.3 )

k = 100 × 0.3 = 30

thus x and y are inversely proportional with constant of proportion k = 30

The positive integers that will make 32x greater than 39 are

2 3 4 5 6 ....... ∞

An integer is a whole number that can be positive, negative, or zero and is not a fraction.

There are three types of integers, they are

The statement, given in the problem is written in equation form using the inequality > which represents greater than to be

32x > 39

The is solved as follows

32x > 39

x > 39 / 32

x > 1.219

hence the integers are 2 to infinity represented by the symbol ∞

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This is calculated by multiplying the cost of each game (25 cents) by the number of times Larry will have to play (16 times) to last 4 minutes. It will cost Larry $1.00 to last 4 minutes before he is knocked out.

Larry started playing a video game and was knocked out in 30 seconds. He then decided to play again and this time he was able to play 30 seconds longer than the previous game. He kept repeating this and was able to play 30 seconds longer each time. Since it cost him 25 cents to play each game, it will therefore cost him $1.00 to last 4 minutes before he is knocked out. This is calculated by multiplying the cost of each game (25 cents) by the number of times Larry will have to play (16 times) to last 4 minutes. Therefore, 25 cents x 16 = $1.00.

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Answer:

Step-by-step explanation:

Subtract 2.5d from both sides.

7.5d = 2.5d

5d = 0

d = 0

Answer: The mean score for this class is 17.13.

Step-by-step explanation:

Add up all of the scores for the boys: 78 + 58 + 79 + 45 + 39 = 249

Add the mean score for the girls: 249 + 8 = 257

Add up the number of students in the class: 10 + 5 = 15

Divide the total score by the number of students to find the mean: 257 / 15 = 17.13

What do you understand by mean and how many methods are there to find it ?

Mean is a statistical term that refers to the average value of a set of data. There are two main methods for finding the mean:

Arithmetic mean: This is the most common method of calculating the mean. It is simply the sum of all the values in the set of data, divided by the number of values in the set.

Geometric mean: This method is used when the data set includes both positive and negative values. It is the nth root of the product of all the values in the set, where n is the number of values in the set.

There are also other methods for finding the mean, such as the harmonic mean, the weighted mean, and the trimmed mean, but these are less commonly used.

To find the mean score for the entire class, we need to add up all of the scores and divide by the total number of students. First, let's start by adding up all of the scores for the boys. We have: 78+58+79+45+39 = 249

Next, let's add the mean score for the girls, which is 8.

So the total is now: 249 + 8 = 257.

Now we need to divide this total by the number of students in the class to find the mean score. There are 10 boys and 5 girls in the class, for a total of 10 + 5 = 15 students.

Therefore, the mean score for this class is :

257/15 = 17.13.

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The mean score for this class is 17.13.

Add up all of the scores for the boys: 78 + 58 + 79 + 45 + 39 = 249

Add the mean score for the girls: 249 + 8 = 257

Add up the number of students in the class: 10 + 5 = 15

Divide the total score by the number of students to find the mean: 257 / 15 = 17.13

What do you understand by mean and how many methods are there to find it?

Mean is a statistical term that refers to the average value of a set of data. There are two main methods for finding the mean:

Arithmetic mean: This is the most common method of calculating the mean. It is simply the sum of all the values in the set of data, divided by the number of values in the set.

Geometric mean: This method is used when the data set includes both positive and negative values. It is the nth root of the product of all the values in the set, where n is the number of values in the set.

There are also other methods for finding the mean, such as the harmonic mean, the weighted mean, and the trimmed mean, but these are less commonly used.

To find the mean score for the entire class, we need to add up all of the scores and divide by the total number of students. First, let's start by adding up all of the scores for the boys.

We have: 78+58+79+45+39 = 249

Next, let's add the mean score for the girls, which is 8.

So the total is now: 249 + 8 = 257.

Now we need to divide this total by the number of students in the class to find the mean score. There are 10 boys and 5 girls in the class, for a total of 10 + 5 = 15 students.

Therefore, the mean score for this class is :

257/15 = 17.13.

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The function rule for the total cost of the cookbook is C(x) = 750 + 25x, where x is the number of copies ordered.

# of Copies Ordered Total Cost

100 875

200 1000

300 1125

400 1250

If 400 copies are ordered instead of 100, the total cost would be $1250 instead of $875, saving $375 per book.

The three f-tests in a two-way ANOVA do you collapse across the levels of the other factor(s) in computing the means both the A main effect and the B main effect.

What is meant by f-test?

In math, f-test refers to carry out the test for the equality of the two population variances.

Here we need to find in which of the three f-tests in a two-way ANOVA do you collapse across the levels of the other factor(s) in computing the means.

As per the definition of f-test, here we know that a two-way ANOVA do you collapse across the levels of the other factor has only two options that is main effect and interaction effect.

As we know that ANOVA separates the within group variance from the between group variance and the F-test is the ratio of the mean squared error between these two groups.

Therefore, in this one, both A and be has the main effect on each other.

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Answer:

x = - 2 , x = 6

Step-by-step explanation:

x² - 4x = 12 ( subtract 12 from both sides )

x² - 4x - 12 = 0 ← in standard form

to factor, consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 4)

the factors are - 6 and + 2 , since

- 6 × 2 = - 12 and - 6 + 2 = - 4 , then

(x + 2)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 6 = 0 ⇒ x = 6

Answer:

240$

Step-by-step explanation:

we multiply 40 with 6

(40×6)

Answer: b) increasing

Step-by-step explanation: It seems evident that the sequence is made up of all the odd numbers.

[tex]\begin{gathered} \bold{a_1=1}\\ \bold{a_2=3=a_1+2}\\ \bold{a_3=5=a_2+2}\\ \bold{a_4=7=a_3+2} \\ \bold{a_n=a_{n- 1}+2}\end{gathered}[/tex]

As we can see, in the nth position (any position), we take the value of the previous position and add 2 to it. This leads us to conclude that the sequence is monotonic increasing since as we add 2 to the values, these grow up.

Answer:

2/3

Step-by-step explanation:

slope = rise/run

Start at point (0, -3).

Go up 2. That is a rise of 2.

Go right 3. That is a run of 3.

slope = rise/run = 2/3

The rate of interest for simple compounding if Louis is offered an interest rate of 6.35% for an investment with continuous compounding, is 0.0515 or 5.15%, so option B is correct.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

Eva is offered an interest rate of 5.28% for her savings with simple compounding,

Here, P will be the same, the amount will be the same and the time will be the same,

The amount in simple compounding = The amount in continuous compounding

[tex]p(1 + r)^t = pe^{Rt}[/tex]

Here, R is the rate of interest for simple compounding,

[tex]1 + 0.0528 = e^R[/tex]

1.0528 = [tex]e^R[/tex]

R = ln 1.0528

R = 0.0515

Thus, the rate of interest for simple compounding is 5.15%

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Take a six-sided dice for example.

If we let a, then a = 3.

Write about p (ac).

A six-sided die will obviously be rolled.

Obtaining a number fewer than three is required for letter A.The initials "AC" stand for "Anything which is not in A" on a die or "A-Complement".

A = 3 can be used to calculate a number less than 3 or a number greater than 3.

Taking into account that the possibilities 1, 2, 4, 5, and 6 are all in AC.

If we take the ratio of successful outcomes to overall outcomes, we have a chance.

P(AC) = 4/6 = 2/3

P(AC) is thus equal to 2/3.

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Answer:

C

Step-by-step explanation:

If you put in 1 for x the denominator will be o

Answer:

16

Step-by-step explanation:

16

It will show the individual values for each row in the view, rather than a sum of the values By time

When the aggregate measures option is unchecked, Tableau will display the individual values for each row in the view instead of totaling them up. This means that instead of showing the sum of the minutes of delay, the view will show the individual delay minutes for each row.

For example, if the view contains three rows with a delay of 10 minutes, 15 minutes and 20 minutes of time, the view will display 10, 15 and 20 instead of 45.

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Answer:

First one

Step-by-step explanation:

The first is not a function ( the flower-looking one) ...it does not pass the 'vertical line test'

When two friends are playing a video game where the player goes on quests to earn coins with an average number of 2000 coins earned in a quest, if one plays an average of 20 quests a day and other play 5 quests a day, none of them are likely to record an average earning below 1500 coins in a day.

Therefore the answer is both Heather and Suzanne are less likely to record an average earning below 1500 coins.

Here the average number of coins earned in a quest is not dependent on the number of quests played in a day. So for both Heather and Suzanne the average earning is to be 2000, so they are less likely to earn below 1500 coins.

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Answer:

x is less than 0

Step-by-step explanation:

Because the inside of the square root needs to be positive to make sense, the cube of -5x must be positive. The only way for a cube to be positive is if the base is positive, so x must be a negative number

The results of the two equations show that the tangent of a negative angle is always equal to its tan.

tan(-∅) =  - tan∅

tan (- ∅) = QR / OQ

=> tan (- ∅) = -y /x.

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Answer:

Step-by-step explanation: The points that have a distance of 3 units between them are:

N=(1,4) and P=(1,1)

P=(1,1) and R=(1,-2)

P=(1,1) and Q=(3,1)

Answer:

y = -1/2x + 2