find the number set which satisfies each of these problems:

if three is added to the absolute value of the product of a number and -9, the result will be 4

Answer:

p(x)/q(x) = (x+1)/(x-1)

Step-by-step explanation:

see image.

p(x)/q(x) is just dividing the two functions. So we'll put p(x) on top and q(x) on the bottom.

Now it looks like a fraction over a fraction. Use Keep-Change-Flip to simplify. Keep the top. Change the divide to times. Flip the bottom. See image.

(You can always use Keep-Change-Flip for numbers only, radicals, and algebraic expression in fraction over a fraction situations)

To multiply fractions, multiply top×top and bottom×bottom straight across.

see image.

According to Integers and number line the correct statements are given below

what is Integers and number line?

Including zero, integers are a range of positive and negative numbers. The definition of an integer on a number line is an image of an integer on a number line. We can do several arithmetic operations using integers on a number line.

solution:

The opposite of the opposite of -12 is -12

The opposite of -12 is 12, and the opposite of 12 is -12.

−12 and its opposite are located the same distance from zero on a number line.

negative 12, and its opposite are located the same distance from zero on a number line.

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Answer:

1

Step-by-step explanation:

g(x)=4x-4

g(x)=0

0=4x-4

4=4x

x=1

Answer:

1157

Step-by-step explanation:

You multiply 13 and 89

Answer:

1,157 cookies

Step-by-step explanation:

[tex]\frac{cookies}{butter}[/tex] = [tex]\frac{cookies}{butter\\}[/tex]

[tex]\frac{13}{1}[/tex] = [tex]\frac{x}{89}[/tex]  You need to multiply 1 by 89 to get 89, so multiply 13 by 89 and you get 1157 cookies.

The value of dc/dt due to changes in p and c variables is 0.364.

The positive variables p and c change with respect to time 1. The relationship between p and c is given by the equation p^2 = (20-c)^3. Now the dp/dt value is 41 and c is 15.

Differentiate the given equation to obtain the following:

2p dp/dt = 3(20-c)^2 dc/dt

Substitute the given values in the equation to obtain the following:

2p (41) = 3(20 - 15)^2 dc/dt

Simplify the equation to obtain the following:

82 = 225 dc/dt

Divide both sides of the equation by 225 to obtain the following:

dc/dt = 82/225

Simplify the equation to obtain the following:

dc/dt = 0.364

Hence, the value of dc/dt is 0.364.

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The function f has a real zero between -1 and 0. Therefore, statement c) is true.

To evaluate the function for the given values of a and b, we can plug in the values of a and b into the function and solve.

For a=-1, we get:

For b=0, we get:

Therefore, f(-1) and f(0) have opposite signs (one is positive and one is negative).

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Answer:

Step-by-step explanation.

The HCF of 18 and 27 is 9

The sum of the exterior angles of the given polygon is 360°.

In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words, poly which means numerous and gon means sides. To create a closed figure, a minimum of three line segments must be connected end to end.

Given that,

There is a polygon that has 4 sides.

Since, a polygon having 4 sides is called a quadrilateral, and the sum of the interior angle of the quadrilateral is 360°.

Implies that, the sum of the exterior angle of the quadrilateral will also be 360°.

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The Solution set of the given quadratic equations are

1. x = 5 or x = 3

2. x= -3/2 or x =  5

A Quadratic equation is an algebraic expression in which highest degree of the given variable is 2.

Formula used as x² +ax + b = (x + c)(x + d)

Where 'a' is the sum 'c' and 'd' and 'b' is the product of 'c' and 'd'

According to the information, Factorize all the given quadratic equations we get;

1. x² - 8x + 15 =0

Now Split middle term of quadratic equation using formula we get,

 x² - 5x - 3x + 15 =0

⇒ x(x- 5) -3(x - 5) =0

⇒(x -5)(x - 3) =0

⇒ x- 5 =0 or x - 3 =0

⇒ x= 5 or x = 3

2. 20x² + 10x -8=0

Now Split middle term of quadratic equation using formula we get,

10x² + 5x - 4 = 0

⇒ 2x(x-5) +3(x-5)=0

⇒(2x+3)(x-5)=0

⇒2x+3 =0 or x-5 =0

⇒ x= -3/2 or x=5

Hence, the solution set are

1. x = 5 or x = 3

2. x= -3/2 or x =  5

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Answer:

16.5 m/s

Step-by-step explanation:

At t = 0.6, the instantaneous velocity of the bug is equal to the average velocity of the bug on [0,6], so the bug is neither speeding up nor slowing down.

The instantaneous velocity of a bug at any particular moment in time is the rate at which the bug is changing its position. The average velocity of the bug over a particular interval (in this case, [0,6]) is the average rate at which the bug changes its position over the entire interval. To compare the instantaneous velocity to the average velocity, the two velocities need to be measured at the same time.

At t = 0.6, the instantaneous velocity of the bug is equal to the average velocity of the bug on [0,6]. That means that the bug is neither speeding up nor slowing down.

The Complete the question is :

at what time t is the instaneous velocity equal to the averge equal to the equal to the average velocity of the bug on 0,6 is the bug speeding up or slowing down at t = 0.6

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The sales of Brawny will remain unchanged, as the amount of Brawny has not changed.

Price is one of the factors that influence the demand and sales of any product. Therefore, when the price of a product changes, the sales of that product may be impacted. However, when the price of one product changes, the sales of another product that has not changed in price may remain unaffected. In this case, since the price of Viva has increased from $2.50 to $2.60, while the amount of Brawny has remained unchanged, the sales of Brawny will likely remain unchanged.

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Answer:

26

Step-by-step explanation:

a_n = 1/2 (n^2 + 3 n - 2) (for all terms given)

1, 4, 8, 13, 19, 26, 34, 43, 53, 64, 76, 89, 103, 118, 134, 151, 169, 188, 208, 229, ...

Answer:

26

Step-by-step explanation:

The difference between 1 and 4 is 3

The difference between 4 and 8 is 4

The difference between 8 and 13 is 5

The difference between 13 and 19 is 6

The difference between 19 and 26  is 7

Let the base and height of triangle be b and h.

area of triangle= 1/2*base*height

Area of triangle= bh/2

Now Base is Doubled and Height increase by 30%

New base = 2b

New height = h×130/100 = 13h/10

New area = 1/2 × 2b × 13h/10

New area = 13bh/10

Area increased = New area - area

Area increased = 13bh/10 - bh/2

Area increased= 13bh-5bh/10

Area increased= 8bh/10

Area increased= 4bh/5

ratio increased in % = Area increased/ Old Area × 100

ratio increased in % = 4bh/5 ÷ bh/2 × 100

ratio increased in % = 4/bh × 2/bh × 20

ratio increased in % = 8×20

ratio increased in % = 160%

The rate at which the area of the forest is increasing, in square kilometers per decade, is 0.0041.

What does the rate of change mean?

How quickly one variable changes in relation to another is known as the rate of change. Speed is an example of a "rate of change." Speed is defined as the rate at which the distance to an object varies in relation to the time spent.

It is given that there are 640 acres in 1 square mile which can also be written as  640 acres= 1[tex]mi^2[/tex].

The area of forest is increasing at a rate of 1 acre/decade.

It is given that 1 km= 0.62mi

By squaring on both sides we will get 1 [tex]km^2[/tex] = 0.3844 [tex]mi^2[/tex].

The rate at which the area of forests is increasing in square kilometers per decade is

[tex]\frac{1acre}{decade} *\frac{1mi^2}{640acre} *\frac{1km^2}{0.3844mi^2} =0.00406478\frac{km^2}{decade}[/tex] .

Therefore the closest value is [tex]0.0041[/tex].

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Nicholas has a total of 5 1/2 cups + 3 3/4 cups = <<5.5+3.75=9.25>>9.25 cups of flour.

To make the cake and cookies, he needs a total of 3 3/4 cups + 8 cups = <<3.75+8=11.75>>11.75 cups of flour.

Therefore, Nicholas will need an additional 11.75 cups - 9.25 cups = <<11.75-9.25=2.5>>2.5 cups of flour to make the cake and cookies.

Step-by-step explanation:

To find the simple interest rate that Savannah is being charged, we can use the formula for simple interest:

I = P * r * t

where I is the total interest paid, P is the principal (the amount borrowed), r is the interest rate, and t is the time period over which the interest is paid.

Since Savannah must pay back the $2,900.00 principal plus a $1,375.00 fee, the total interest paid is $1,375.00. The time period is 8 months, which is equal to 8/12 = 2/3 of a year. Substituting these values into the formula and solving for r, we get:

$1,375.00 = $2,900.00 * r * (2/3)

r = $1,375.00 / ($2,900.00 * (2/3)) = 0.1429

This is the interest rate that Savannah is being charged. To express this rate as a percentage, we can multiply it by 100% to get:

r = 0.1429 * 100% = 14.3%

Therefore, Savannah is being charged a simple interest rate of approximately 14.3%.

According to the information in the graph, the blend of foods that satisfies the requirements at the minimum cost is option A because it would be worth only 10.

To calculate the cheapest blend of food option, we must take into account the amounts of each element (carbohydrate, protein, fat) and identify how many units of each blend we need to cover the minimum quota.

Based on the above information, to identify the blend units we need to cover the minimum quota we must find it by multiplying each of the elements by the number of times we would need to meet the minimum requirement. Once we identify the quantities we need, we must multiply the price by the number of units we need.

Following the previous procedure, we can identify that the best option would be blend A because we must buy it 5 times to cover the minimum requirements. Additionally, its value would be 10, while the others would have a higher value.

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In order to prevent such factors from influencing the treatment's outcomes, randomization tends to reduce the impact of uncontrollable variables like water temperature.

A variable in mathematics is a symbol that designates a mathematical object. A variable can represent any of the following: a number, a vector, a matrix, a function, its argument, a set, or an element of a set. An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. A variable is, to put it simply, a quantity that may be altered and is not fixed. Because they make up a significant portion of mathematics, variables are crucial.

The impact of water pH on moon jellyfish mating behavior is being studied by researchers. In a scientific experiment, the water in the tanks containing the jellyfish will be randomly assigned to one of three treatments: low pH, medium pH, or high ph.

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Absolute value: C

Quadratic: D

Constant: A

Square root: E

Linear: B

There are the equations for the graphs on the bottom:

y=2 is constant because the y value never changes

y=x is linear because the y value changes at a constant rate

y= |x| is absolute value because |x| is the absolute value of x

y=x^2 is quadratic because quadratic functions have a degree of 2

y=sqrt(x) is a square root because y= square root of x

Answer:

I think its $12..? if you subtract the two numbers than you should get my answer

Answer:

(1, 3)

Step-by-step explanation:

Using a graphing website like Desmos or a graphing calculator, we can figure out the solution: (1, 3)

Only the first statement is false. The rest are true statements about the Central Limit Theorem.

The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.

It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.

The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.

Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.

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By using circle model the images are attached below:

A circle with a diameter of one has n firms distributed uniformly around it. In light of this, every company's distance from each of its closest neighbors is 1/n.

We must first create two circles in order to compare the ratios of 2 to 7 and 5:7 using a circle model.

Then, we must divide each circle into seven pieces.

We must shade 2 of the circle's total 7 portions in order to maintain the 2:7 ratio.

We must shade 5 of the circle's total 7 portions in order to maintain the 5:7 ratio.

As a result, the first circle symbolizes a 2:7 ratio, while the second circle a 5:7 ratio.

By using circle model the images are attached below:

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Answer: using circles to model the ratios, divide both circles into

7

equal parts.

For the ratio 2 to 7,

2

parts should be shaded.

For the ratio 5:7,

5

parts should be shaded.

The ratio 2 to 7 is

less than

the ratio 5:7

The equation of the perpendicular line is (c) y = 2/9x - 1

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

y + 17 = -9/2(x - 3)

Also, from the question;

We have the following points

Point = (0, -1) i.e.  (x, y) = (0, -1)

The equation of a line can be represented as

y - y₁ = m(x - x₁)

Where

Slope = m

By comparing the equations, we have the following

m = -9/2

This means that the slope is -9/2

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is 2/9

The equation of the line is then calculated as

y = m(x - x₁) +y₁

Where

m = 2/9

(x₁, y₁) = (0, -1)

So, we have

y + 1 = 2/9(x - 0)

Evaluate

y = 2/9x - 1

Hence, the line has an equation of y = 2/9x - 1

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Answer:

She spend $280 a month when she goes out to eat 8 times a month.

She will save $105 a month if she cuts back to 5 times a month.

Step-by-step explanation:

35 x 8= 280

35 x 5  = 175

280 - 175 = 105

Answer:

8 * $35 per meal = $280

$280 - (5 * $35)

= $280 - ($175)

= $105

Step-by-step explanation:

The relation between 'x' and 'y' will be y = -(3/10)x. Then the value of the variable 'y' at x = -1 will be 3/10.

A proportion is a gathering of consecutively requested numbers an and b communicated as a/b, where b is never equivalent to nothing. At the point when two items are equivalent, a proclamation is supposed to correspond.

The variable 'y' is directly proportional to the 'x'. Then the equation is given as,

y ∝ x

y = kx

At x = - 3 and y = 10, then the value of the constant 'k' is calculated as,

-3 = k(10)

k = - 3/10

Then the equation is written as,

y = -(3/10)x

At x = - 1, then the value of the variable 'y' is calculated as,

y = - (3/10) (-1)

y = 3/10

The connection between 'x' and 'y' can't avoid being y = - (3/10)x. Then, at that point, the worth of the variable 'y' at x = - 1 will be 3/10.

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The image of the correct option is attached below(image two)

The coordinates of the image's bottom-most vertex are (- 2, 2).

The x-coordinate and the y-coordinate switch places and become negated if you reflect over the line y = -x (the signs are changed).

As a result, following reflection, the chosen vertex's coordinates are (2, -2).

As a result, option 3's graph displays the image and preimage after reflection while taking the selected vertex into account.

Therefore Option three satisfies the solution

image of option 3 is attached below

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The complete Question was found and attached below

Answer:

To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.

Step-by-step explanation:

The distance from work station 1 to work station 3 is 13 feet.

The figure shows the distance between workstation. The figure represents a right angle triangle.

The distance from work station 1 to work station 3 can be calculated as follows:

using Pythagoras's theorem,

c² = a² + b²

where

Therefore, the distance from work station 1 to work station 3 is the hypotenuse side of the right triangle.

Hence,

5² + 12² = c²

25 + 144 = c²

c² = 169

c = √169

c = 13 ft

The distance between the work stations is 13 ft.

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