simplify 15x-3(2x+4)

To solve these we can use fractional multiplication, the answer to 3/8 of 48 is 18 and the answer to 4/5 of 15 is 12.

Fractional multiplication is a process of multiplying two or more fractions (or mixed numbers) together. This is done by multiplying the numerators together and multiplying the denominators together.

The first problem we need to solve is 3/8 of 48. To solve this we can use fractional multiplication.

When multiplying fractions, we multiply the numerators together and the denominators together.

So for the first problem,

3 x 48 = 144 and 144/8 = 18.

Therefore, the answer to 3/8 of 48 is 18.

The second problem we need to solve is 4/5 of 15. Again, we can use fractional multiplication.

4 x 15 = 60 and 60/5 = 12.

Therefore, the answer to 4/5 of 15 is 12.

We can see that the answers to both problems are the same as the fractions used in the problems. This is because when we use fractional multiplication, the numerator and denominator of the answer are the products of the numerator and denominator of the original fractions.

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Solution:

Given:

From the graph, the x-intercept exists at (0,0) and (6,0).

The maximum value is (3,120).

The x-intercept represents the break-even points. The company was not in profit or loss when no pen was sold and when 6 pens were sold, the profit was $0 at these two points.

The maximum value of the graph represents the maximum profit made by the company. The company made a maximum profit of $120 when 3 pens were sold.

The interval where the function is increasing is from negative infinity to x = 3. This shows that the more pen sold, the higher the profit made.

The interval where the function is decreasing is from x = 3 to positive infinity. This shows that the less pen sold, the lower the profit made.

The approximate average rate of change of the graph from x = 3 to x = 5 is;

The rate represents a decrease of $30 for every pen sold across the decreasing interval.

We can make a drawing to see better:

7) We know that RM = 4 and MS = 9, so:

The answer is TM = 20.25

8) We know that RS = 20 and RM = 8, so:

The answer is RT = 50.

9) We know that RM = 5 and MS = 7, so:

The answer is TS = 12.043

10) We know that RM = 1/2 and MS = 1/4, so:

The answer is RT = 5/8 = 0.625

The probability of getting a 2 or 1 when rolling a single fair four-sided die is 2/4 or 1/2. There are 4 possible outcomes in total.

When rolling a fair four-sided die, each face has an equal probability of landing face up. Since we are interested in the probability of getting a 2 or 1, we need to determine how many favorable outcomes there are.

In this case, there are two favorable outcomes: rolling a 1 or rolling a 2. Since the die has four sides in total, the probability of each favorable outcome is 1/4.

To calculate the probability of getting a 2 or 1, we add the individual probabilities together:

Probability = Probability of rolling a 2 + Probability of rolling a 1 = 1/4 + 1/4 = 2/4 = 1/2

Therefore, the probability of getting a 2 or 1 is 1/2.

As for the total number of possible outcomes, it is equal to the number of sides on the die, which in this case is 4.

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Answer: x < -4

Step-by-step explanation: This is a question of an inequality. Here, everything proceeds like a normal equation that we solve. To obtain the value of x, we will divide 32 by 8.

  -8x<32

   x<-32/8

   x<-4  (On dividing -32 by 8)

This means x can take any value less than -4 i.e. -5,-6,-7,......

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Answer:

  5√30 ≈ 27.386 square units

Step-by-step explanation:

You want the area of the portion of the plane 5x +2y +z = 10 that lies in the first octant.

The axis-intercepts are found by setting the other variables to zero.

  x-intercept: 5x = 10   ⇒   x = 2

  y-intercept: 2y = 10   ⇒   y = 5

  z-intercept: z = 10

The boundaries of the triangular first-octant portion of the plane will be the lines between these intercepts. The length of each boundary can be found using the distance formula. For example, the length in the X-Y plane will be ...

  d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)

  d = √((0 -2)² +(5 -0)² +(0 -0)²) = √(4+25) = √29

The first attachment shows the other side lengths to be ...

  Y-Z plane: 5√5

  X-Z plane: 2√26

The area of the triangular portion of the plane can be found using Heron's formula. For semi-perimeter s and side lengths a, b, c, the area is ...

  A = √(s(s -a)(s -b)(s -c)) . . . . . . where s = (a+b+c)/2

The second attachment shows the area to be 5√30 ≈ 27.386 square units.

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The approximate value of the surface area is 4.32 square units.

To find the area of the surface, we need to first find the equation of the plane and then determine the portion of the plane that lies in the first octant.

The equation of the plane can be written as:

z = 10 - 5x - 2y

To determine the portion of the plane that lies in the first octant, we need to find the points where the plane intersects the x, y, and z axes. Setting x = 0, y = 0, and z = 0 in the equation of the plane, we get:

z = 10 (when x = 0 and y = 0)

y = 5x (when z = 0 and y = 0)

x = 2 (when z = 0 and x = 0)

The portion of the plane that lies in the first octant is bounded by the x-axis, the y-axis, and the line y = 5x. To find the area of this surface, we can use a double integral:

∬R √(1+f_x^2+f_y^2) dA

where R is the region bounded by the x-axis, the y-axis, and the line y = 5x, and f(x,y) = 10 - 5x - 2y.

Converting to polar coordinates, we have:

x = r cosθ

y = r sinθ

The line y = 5x becomes y = 5r cosθ, and the region R is described by:

0 ≤ r ≤ 2sinθ

0 ≤ θ ≤ π/4

The surface area is then:

A = ∫(0 to π/4) ∫(0 to 2sinθ) √(1+f_r^2+f_θ^2) r dr dθ

Using f(x,y) = 10 - 5x - 2y, we can find:

f_r = -5

f_θ = -2r

So we have:

A = ∫(0 to π/4) ∫(0 to 2sinθ) √(1+25+4r^2) r dr dθ

= ∫(0 to π/4) ∫(0 to 2sinθ) √(29+4r^2) r dr dθ

This integral is difficult to evaluate analytically, but it can be approximated using numerical methods or a computer algebra system.

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The question is not clear, need another number to compare to get the ratio

when you are interrogating the external validity of a sample, option(b). how was the sample collected? is the most important question to ask.

What is External validity?

The concept of external validity is related to the concept of generalization. It's imperative to keep that in mind. It is important to remember that validity refers to the approximate truth of a proposition, an inference, or a conclusion. In other words, external validity refers to the relative truth of generalizations based on generalizations. The external validity of your study is the degree to which the conclusions are applicable to other people, places, and times.

An external validity threat is an explanation of how a generalization could be flawed. A study you conducted in a particular place, with certain types of people, at a particular time, can be generalized to another context (for instance, another place, with slightly different people, at a slightly different time). External validity can be compromised in three ways: people, places, and times.

Question

When you are interrogating the external validity of a sample, which is the most important question to ask?

a. how many people are in the sample?

b. how was the sample collected?

c. how were the participants measured?

d. how many people are in the population?

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Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

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Answer:

10.4 inches

Step-by-step explanation:

The side lengths of a square are all equal. The formula to find the area of a square given a side length s is s².

s² = 109

Taking the square root gives us approximately 10.4 inches.

In the given figure, for Angle X and Angle Y to be equal, line AB and CD should be parallel.

Therefore, the answer is CHOICE 2 : The lines are parallel.

The result when the number 28 is increased by 50 percent is 42.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

The result when the number 28 is increased by 50 percent will be:

= 28 + (50% × 28)

= 28 + 14

= 42

The result is 42.

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Given

LM = 9, MN = 6x, and LN = 9x

Find

LN

Explanation

as we see LN = LM + MN

so ,

so , LN = 9x = 9 * 3 = 27

Final Answer

Therefore , the length of LN is 27

Answer:

2) 96

3) 121

Step-by-step explanation:

2) 8 x 12 = 96

3) 11 x 11 = 121

Answer:

surface area of the cyclinder=2πr²+2πrh

=(2×3.14×12²)+(2×3.14×12×8)

=904.32+602.88

=1507.2mi²

Brass is an alloy of copper and zinc with a density of approximately 8.5 g/cm³. In addition, brass is a malleable and ductile metal that can be bent, stretched, and compressed without breaking. The sphere's volume can be reduced using a minimum pressure of 12,750 Pa.
First, let us comprehend the formula used in this case: Percentage decrease in volume = (change in volume/original volume) x 100. Now, we will obtain the change in volume.
Change in volume = (percentage decrease in volume/100) x Original volume
Here, percentage decrease in volume = 0.00003 %

Original volume can be derived from the formula of the volume of a sphere, which is:
V = 4/3πr³
As a result, the following is the equation for the original volume:
V = 4/3 π (d/2)³ = πd³/6
Where d is the diameter of the brass sphere.
Now we can find the change in volume:
Change in volume = (0.00003/100) x πd³/6
The change in volume is calculated to be 0.00000157πd³.
According to the formula of pressure, pressure = force/area, we can find the force necessary to decrease the volume by the required percentage using the Young’s modulus of brass, which is approximately 91 GPa (gigapascals) or 91 × 10⁹ Pa (pascals).
So, we can write:
Force = Young's modulus x (Change in volume/Original volume) x (Original diameter)²/4
Thus, the force needed to decrease the volume of the sphere is as follows:
F = 91 × 10⁹ x (0.00000157πd³) / (πd³/6) x (d/2)²
F = 3.53 × 10⁷ d² N
Finally, we can find the minimum pressure required to reduce the volume by dividing the force by the surface area of the sphere.
Minimum pressure = F/ Surface area of the sphere
= F/(4πr²)
= 3.53 × 10⁷ d²/ (4π (d/2)²)
= 12,750 Pa approximately
Therefore, the sphere's volume can be reduced using a minimum pressure of 12,750 Pa.

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Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:

B.) √89

E.) \(\sqrt[3]{750}\)

F.) \(\sqrt[3]{999}\)

We suppose numbers n and m, with square roots given, respectively, by n² and m².

Then, the square roots of all numbers between n² and m² have values between n and m.

In this problem, the square roots are given by:

Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.

As for the cubic root, we apply the same logic and have that:

Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.

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limx→0sinaxcosbxsincx=limx→0(cosbx⋅sinaxax⋅cxsincx⋅ac)=ac

Answer:

Its 4

Step-by-step explanation:

You would have to do the formula for finding slope

y2-y1/x2-x1

Answer:

g(x) is shifted down 4 units

Step-by-step explanation:

Answer:

let the number be x and y

Step-by-step explanation:

x+y=12

x-y=-4

here,

Answer: the answer is 2.85 x 10^-4

Step-by-step explanation:

or u can just look up  Mathway and that will give you the answer and a much quicker way too https

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Answer:

  (d)  scale factor 1/2; center: the origin

Step-by-step explanation:

Consider point B(2, 6). That gets dilated to make point D(1, 3). These coordinates are different, so the center of dilation is not point B. The ratios of the coordinates of D to B are 1/2 and 3/6 = 1/2. This is the scale factor k. (The coordinates of other corresponding points also have the same ratio.)

  k = 1/2; dilation center: the origin

Answer:

90°

Step-by-step explanation:

when u rotate it up to 90° I think it will look the same

Substituting these values in the given function, we get:

h(-2) = 4 + 8 + 2

Simplifying the expression further, we get:

h(-2) = 14

So, h(-2) is equal to 14.

The function h(t) = ť – 4t + 2 represents a quadratic equation in t, where t is the independent variable and h(t) is the dependent variable.

To find h(-2), we need to substitute -2 in place of t in the given function as follows:

h(-2) = (-2)^2 - 4(-2) + 2

Here, (-2)^2 means -2 multiplied by itself, which equals 4.

Also, -4(-2) means the product of -4 and -2, which equals 8.

Therefore, substituting these values in the given function, we get:

h(-2) = 4 + 8 + 2

Simplifying the expression further, we get:

h(-2) = 14

So, h(-2) is equal to 14.

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Answer:

7.5 ounces

I may be wrong

Katie needs to use 7.5 ounces of butter for 20 ounces of flour in her pastry.

To determine how many ounces of butter Katie needs to use in her pastry, we first need to find the ratio of flour to butter in the recipe.

Therefore, Katie needs to use 7.5 ounces of butter for 20 ounces of flour in her pastry.

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If 1472cm² of wrapping paper is needed to cover the smaller box, approximately 1672cm² of wrapping paper is needed to cover the larger box (assuming the surface area is directly proportional to the length).

Since the smaller and larger boxes have exactly the same shape, we can assume that their dimensions are proportional.

Let's denote the width and height of the smaller box as "w" and "h," respectively, and the width and height of the larger box as "W" and "H," respectively.

We know that the length of the smaller box is 16 cm, so we have:

Length of smaller box = 16 cm

Width of smaller box = w

Height of smaller box = h

To find the dimensions of the larger box, we can set up a proportion based on the lengths of the boxes:

16 cm / 18 cm = w / W

From this proportion, we can solve for W:

\(W = (18 cm \times w) / 16 cm\)

Now, let's consider the surface area of the boxes.

The surface area of a box is given by the sum of the areas of its six faces. Since the boxes have the same shape, the ratio of their surface areas will be equal to the square of the ratio of their lengths:

Surface area of smaller box / Surface area of larger box = (16 cm / 18 cm)^2.

We know that the surface area of the smaller box is 1472 cm^2, so we can set up the equation:

\(1472 cm^2\) / Surface area of larger box \(= (16 cm / 18 cm)^2\)

To find the surface area of the larger box, we rearrange the equation:

\(Surface $area of larger box = 1472 cm^2 / [(16 cm / 18 cm)^2]\)

Now we can substitute the value of W into the equation to find the surface area of the larger box:

Surface area of larger box \(= 1472 cm^2 / [(16 cm / 18 cm)^2] = 1472 cm^2 / [(18 cm \times w / 16 cm)^2]\)

\(= 1472 cm^2 / [(18 \times w / 16)^2] = 1472 cm^2 / [(9w / 8)^2]\)

\(= 1472 cm^2 / [(81w^2 / 64)]\)

Simplifying further:

Surface area of larger box \(= (1472 cm^2 \times 64) / (81w^2)\)

So the amount of wrapping paper needed to cover the larger box is given by the surface area of the larger box, which is:

\((1472 cm^2 \times 64) / (81w^2)\)

Note that we don't have enough information to calculate the exact value of the wrapping paper needed to cover the larger box since we don't know the width "w" of the smaller box.

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x = (5/6v) + 7

Solve for v

(5/6v) = x - 7

5 = (x -7)(6v)

6v = 5/(x-7)

v = 5/(6 (x-7))

Answer:

244 in^2

Step-by-step explanation:

We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.

The prism has six sides, so check that whatever list you make lines up.

Now we can add all this up, 28 + 48 + 168 = 244 in^2 !

9514 1404 393

Answer:

  b, d

Step-by-step explanation:

When you're taking the cube root, the thing you're taking the cube root of is best expressed as a cube.

You know that 2^3 = 8 and 3^3 = 27, so any other representation of 8 or 27 is irrelevant to the problem.

The appropriate choices are the second and fourth ones (B, and D).