What is the Greatest Common Factor of 10x4y3 and 4x3y2?

a 2x3y2

b 4x4y3

c 4x3y2

d 2xy


(07.01 LC)

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

The value of the cosine of the angle of (a - b) will be 0.80.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

Suppose that sin(a) = 4/6 and cos(b) = 1/5.

Then the value of 'a' is given as,

sin(a) = 4/6

sin(a) = 2/3

a = 41.81°

Then the value of 'b' is given as,

cos(b) = 1/5

b = 78.46°

Then the value of the cosine of the angle of (a - b) will be given as,

⇒ cos(41.81° - 78.46°)

⇒ cos(-36.65°)

⇒ cos 36.65°

⇒ 0.80

The value of the cosine of the angle of (a - b) will be 0.80.

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Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:

x = 30

Step-by-step explanation:

1/2(x+6) = 18

Expand brackets or use distributive law.

1/2(x) + 1/2(6) = 18

1/2x + 6/2 = 18

1/2x + 3 = 18

Subtract 3 on both sides.

1/2x + 3 - 3 = 18 - 3

1/2x = 15

Multiply both sides by 2.

(2)1/2x = (2)15

x = 30

Answer:

30

Step-by-step explanation:

Answer: 3 ≤ 47

Step-by-step explanation:

The inequality given is 3 ≤ 47.

To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.

Looking at the options provided:

x = 24: This is not a solution because 24 is less than 47.

x = 51: This is a solution because 51 is greater than or equal to 47.

x = 6: This is not a solution because 6 is less than 47.

x = 99: This is a solution because 99 is greater than or equal to 47.

Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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Angle XWZ is congruent to angle XZW

Answer:

The answer Is actually B. <XWZ is a right angle

Step-by-step explanation:

Answer:

A. 11.2

Step-by-step explanation:

But this has nothing to do with 5.6 × 2. Erase that! Lol.

You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.

The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.

The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.

The hypotenuse is 14.

Let's do some Pythagorean Theorem.

Leg^2+ leg^2=hypotenuse^2

you know,

a^2 + b^2 = c^2

fill in what we know.

8.4^2 + b^2 = 14^2

simplify.

70.56 + b^2 = 196

subtract 70.56

b^2 = 125.44

squareroot both sides

b = 11.2

Answer:

1/10

Step-by-step explanation:

1 = 10/10

10/10 - 9/10 = 1/10

Good luck!

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer:

\(\sf \cos ^2\left(x\right)\)

Explanation:

\(\sf \sin \left(x\right)\csc \left(x\right)+\cos \left(\frac{3\pi }{2}-x\right)\sin \left(x\right)\)

\(\sf \sin \left(x\right)\csc \left(x\right)+\left(-\sin \left(x\right)\right)\sin \left(x\right)\)

\(\sf \sin \left(x\right)\csc \left(x\right)-\sin ^2\left(x\right)\)

\(\sf \cos ^2\left(x\right)\)

Answer:

\(\cos^2(\theta)\)

Step-by-step explanation:

Identities used:

\(\csc(\theta)=\dfrac{1}{\sin(\theta)}\)

\(\cos(\frac{3 \pi}{2}-\theta)=\cos(\frac{3 \pi}{2})\cos(\theta)+\sin(\frac{3 \pi}{2})\sin(\theta)\)

\(\textsf{As }\cos(\frac{3 \pi}{2})=0\textsf{ and }\sin(\frac{3 \pi}{2})=-1\)

\(\implies \cos(\frac{3 \pi}{2}-\theta)=0 \times\cos(\theta)+-1\times\sin(\theta)=-\sin(\theta)\)

\(\sin^2(\theta)+\cos^2(\theta)=1 \implies \cos^2(\theta)=1-\sin^2(\theta)\)

Therefore,

\(\sin(\theta) \times \csc(\theta)+\cos(\frac{3 \pi}{2}-\theta)\times\sin(\theta)\)

\(=\sin(\theta) \times\dfrac{1}{\sin(\theta)}-\sin(\theta)\times\sin(\theta)\)

\(=1-\sin^2(\theta)\)

\(= \cos^2(\theta)\)

Answer:

-15

Step-by-step explanation:

Replace c with 2,

(2)^2 -8(2) -3 =

4 - 16 -3 + -12

= -15

Answer: A. x < 2

Step-by-step explanation:

         We will isolate the variable with inverse operations.

Given:

  3x – 2 < 4

Add 2 to both sides of the equation:

  3x < 6

Divide both sides of the equation by 3:

  x < 2

        A. x < 2

Answer:

False.

Step-by-step explanation:

A complementary angle is an angle where two seperate angles add together for a 90 degree angle. They usually share a side, but not always.

Answer:

However it is not necessary that if they are complementary angles they must share a side.Any angles that add up to 90 degree,can be considered complementary.

Answer:

see below

Step-by-step explanation:

collinear points are the points that are on the same line so any 3 points on the same line is the answer

Answer: 5^2.48 is honestly as close as you can get.

Answer:

Only B I'm pretty sure and if I'm wrong I'm sorry but I'm like 99% sure it's only B

Answer:

Step-by-step explanation:

1) a) 15x =  12x + 15          {Alternate interior angles}

b) 15x - 12x = 15             {Subtract 12x from both sides}

       3x  = 15

        x = 15/3

x = 5

c) Alternate interior angles

2) a) 3x + 10 + 3x - 28 = 180  {co- interior angles are supplementary}

b) 6x  - 18 = 180      { Combine like terms}

        6x   = 180 + 18

         6x  = 198

          x = 198/6

         x = 33

c) co- interior angles are supplementary

3) a) 7x + 9 + 5x +3 = 180

  b) 12x + 12 = 180

      12x    = 180 - 12

          12x = 168

             x = 168/12

           x = 14

c) linear pair

4) a) 12x - 18 = 8x + 10

b) 12x - 8x - 18 = 10

           4x - 18  = 10

                   4x = 10 +18

                   4x = 28

                     x = 28/4

x = 7

c) Vertically opposite angles are equal.

The result is that x = 8 is the smallest positive number such that f(x) surpasses g(x).

An integer is a whole number that may be positive, minus, or zero and is not a percentage. Integer examples include: -5, 1, 5, 8, 97, as well as 3,043. The following figures are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

To find the smallest positive integer x for which f(x) exceeds g(x)

we need to set the two functions equal to each other and solve for x:

f(x) = g(x)

-x² + 5x = -10x + 10

Simplifying the equation, we get:

x² + 15x - 10 = 0

Using the quadratic formula, we can solve for x:

x = (-15 ± sqrt(15² - 4(1)(-10))) / (2(1))

x = (-15 ± sqrt(265)) / 2

The two possible solutions are approximately -0.372 and -14.628. Since we are looking for the smallest positive integer solution, we take the ceiling of the positive solution to get x = 8.

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Answer:

Yes, you subtract 5 every time

Step-by-step explanation:

For RIGHT  triangles the cos of an angle = adjacent LEG / hypotenuse

 so for THIS triangle   cos 55°  = x / 9.3

    re-arrange to    9.3 * cos 55° = x    

       use calculator to find x = ~ 5.3 units   (rounded)

Answer:

x = 5.3

Step-by-step explanation:

As triangle XYZ is a right triangle, and we have been given angle X, the side adjacent the angle, and the hypotenuse, we can use the cosine trigonometric ratio to solve for x.

\(\boxed{\begin{minipage}{9 cm}\underline{Cos trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

Given:

Substitute the given values into the formula and solve for x:

\(\implies \cos 55^{\circ}=\dfrac{x}{9.3}\)

\(\implies x=9.3 \cos 55^{\circ}\)

\(\implies x=5.3342608...\)

\(\implies x=5.3\; \sf (nearest\;tenth)\)

Therefore, the value of x is 5.3 to the nearest tenth.

Answer:

X=6

Step-by-step explanation:

3x+12=36-X

(3X6) +12=36-6

18+12=30

30=30

TRUE

Answer:

False

Step-by-step explanation:

2/10 is not equal to 4/16.

Answer: x=0,\root(3)(3)

Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Brainliest or a thank you please? :))

9514 1404 393

Answer:

  associative property of multiplication

Step-by-step explanation:

We assume your equation is ...

  9(3x) = (9·3)x

The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.

_____

Additional comment

It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).

Answer:

72ft^3

Step-by-step explanation:

if you put the 6 by 3 unit cubes thing you will fill in the box with 4 of them do 18 X 4 = 72

Answer:18^3

Step-by-step explanation:

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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Answer:

72, give me brainliest please

The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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