In the following monomials, whose degree is 5:
A: 5a B: 3²b³ C: ab⁴D: 4 a(exponent 5)b

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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To evaluate

We know that

Now, to round the number to the nearest hundreds.

In ten place, there is 0 which is less than 5.

So, after rounding, the resulting number is

427800

Answer:

answer is A, source: a calculator

Step-by-step explanation:

if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION

Answer:

Step-by-step explanation:

It’s 9 because you make 7 and 2 a positive number

Answer:

1073333/5000000

Step-by-step explanation:

Convert to a simplified fraction by placing the numbers to the right of the decimal over 10000000. Reduce the fraction.

Answer:

Y=5x+8

Step-by-step explanation:

43=5(7)+b Substitute in the ordered pair and solve in parathensis

43=35+b Subtract 35 from both sides

43-35=-35+b Did you subtract?

8=b The variable is 8.

y= 5x+8 Rewrite the equation in slope intercept form

Answer:

47 square units

Step-by-step explanation:

count the full squares first then count the half ones by doubling it with the halves.

The polynomial that represents the sum  in the expression 9x^2 + x + 2+3x^4+ 2x +2 is 3x^4 +9x^2+ 2x +2 which is option B.

The sum of an expression can be described as the outcome of the addition operation that is performed on the expression.

The given expressions are:

9x^2 + x + 2

3x^4+ 2x +2

then the sum would be  9x2 + x + 2 +3x^4+ 2x +2 then this can be simplified as :

3x^4 +9x^2+ 2x +2

Therefore, choice B is correct.

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If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.

Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.

Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.

Since NP and QS are parallel lines, we have:

∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)

Also, the alternate interior angles NOM and POM are equal, so:

∠NOM = ∠POM

Substituting this into the first equation gives:

∠POM + ∠MOP = 180°

We can now solve for ∠POM by substituting the given value:

130° + ∠POM = 180°

∠POM = 50°

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9514 1404 393

Answer:

  (4√3)/3

Step-by-step explanation:

You know the ratio of side lengths is ...

  x : 4 = 1 : √3

Then ...

  x = 4/√3

Multiply by (√3)/(√3) to rationalize the denominator:

 x = (4√3)/3

Answer:

$28

20 plus 40 percent

that's the answer

Answer:

undefined

Step-by-step explanation:

-4/0 is an undefined number because you cannot have a part of 0. therefore, there is no solution

A rate of change tells us how one quantity changes in relation to another quantity.

The annual rate of change in the number of students in the band is 5.

A rate of change is a rate that tells us how one quantity changes in relation to another quantity.

We have,

Number of students in the band in 2012 = 275

Number of students in the band in 2018 = 305

The rate of change in the number of students in the band:

= 305 - 275 / 2018 - 2012

= 30 / 6

= 5

Thus the annual rate of change in the number of students in the band is 5.

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F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.

Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.

Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.

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The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer:

∠A= ∠E, ∠H = ∠D

and the last one

Step-by-step explanation:

opposite angles are equal, alternative interior angle are equal.

Answer:

∠A = ∠E and ∠H = ∠D.

∠E = ∠H and ∠F = ∠G

Step-by-step explanation:

Angles A and E are one set of corresponding angles and angles H and D are another set.  Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.

Angles E and H are one set of vertical angles and angles F and G are another set.  Vertical angles are also always congruent to each other and thus equal.  Therefore ∠E = ∠H and ∠F = ∠G

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

Subtracting the second equation from the third gives ...

  (2z +3x) -(2z -2x) = (-6) -(-6)

  5x = 0

  x = 0

Using this in the third equation, we have ...

  2z +0 = -6

  z = -3

And substituting these values into the first equation, we have ...

  5y -3(0) -4(-3) = 22

  5y = 10 . . . . . subtract 12

  y = 2

__

The solution to the system is (x, y, z) = (0, 2, -3).

Answer: A

Step-by-step explanation:

To get the third term in completing the square, take half the middle term and square it. Half of 6 is 3, and 3^2 is 9.

Answer:

40

Step-by-step explanation:

x plus2x plus6=126

3x=126-6

3x=120

x=120/3

x=40

a) The distribution of X, the student loan debt of a randomly selected college graduate, is normal with a mean of $25,200 and a standard deviation of $11,200. b) The probability is approximately 7.28%.

c) The middle lies between approximately $22,164 and $28,536.

a. The distribution of X, the student loan debt of a randomly selected college graduate, is a normal distribution (bell-shaped curve) with a mean (μ) of $25,200 and a standard deviation (σ) of $11,200. We can represent this as X ~ N(25200, 11200).

b. To find the probability that the college graduate has between $27,250 and $43,650 in student loan debt, we need to calculate the z-scores for these two values and then find the area under the normal curve between those z-scores.

First, we calculate the z-score for $27,250:

z1 = (X1 - μ) / σ = (27250 - 25200) / 11200 ≈ 1.8304

Next, we calculate the z-score for $43,650:

z2 = (X2 - μ) / σ = (43650 - 25200) / 11200 ≈ 1.6518

Now, we need to find the area under the normal curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this area.

Using a standard normal distribution table or a calculator, the probability is approximately P(1.6518 ≤ Z ≤ 1.8304) ≈ 0.0728.

c. To find the middle 20% of college graduates' loan debt, we need to find the range of values that contain the central 20% of the distribution. This range corresponds to the values between the lower and upper percentiles.

The lower percentile is the 40th percentile (50% - 20%/2 = 40%) and the upper percentile is the 60th percentile (50% + 20%/2 = 60%).

Using a standard normal distribution table or a calculator, we can find the z-scores corresponding to these percentiles:

For the lower percentile (40th percentile):

z_lower = invNorm(0.40) ≈ -0.2533

For the upper percentile (60th percentile):

z_upper = invNorm(0.60) ≈ 0.2533

Now, we can convert these z-scores back to the corresponding loan debt values:

Lower debt value:

X_lower = μ + z_lower * σ = 25200 + (-0.2533) * 11200 ≈ $22,164

Upper debt value:

X_upper = μ + z_upper * σ = 25200 + 0.2533 * 11200 ≈ $28,536

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Answer: -1

Step-by-step explanation: I’m built different

this is the working

The answer will be one and three eighth cups

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Refer to attached.

Plot the point and connect in order FLAG.

We see

All the above can be confirmed by calculating the slopes:

The quadrilateral is a parallelogram.

Correct choice is B

Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which

statement is true?

Quadrilateral FLAG is a rhombus because all sides are congruent.

Quadrilateral FLAG is a parallelogram because opposite sides are parallel.

Quadrilateral FLAG is only a quadrilateral because no sides are congruent and no

sides are parallel.

Quadrilateral FLAG is a trapezoid because only one pair of sides are parallel.

Saludos

☺☺☺☺☺☺☺

We want to find the diagonal length of the square given in the question.

Since this shape is a square, all four sides are of equal length. Therefore, each side of the square must be \(1\) unit.

Next, we will use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle. This value is also equal to the length of our diagonal. We can find the length of the diagonal using the formula below;

Therefore, the correct answer to our question is the following equality;

Second option should be the answer.

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Answer:

  D

Step-by-step explanation:

Do this multiplication the same way you would for integers. The "place value" of a column is the power of x for that column.

The sum of partial products matches answer choice D.

_____

Additional comment

We used a spreadsheet because it provides a nice grid for aligning rows and columns. If you want to have the spreadsheet do the multiplication and sum, you need to leave out the variables. Here, we did the multiplication and sum mentally and used the spreadsheet simply to record the result.

The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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The value of the two numbers are 30 and 20.

According to the statement

We have to find that the value of the two numbers.

So, For this purpose, we know that the

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

From the given information:

The larger of two numbers is 10 less than the smaller number. The sum of the two numbers is 50.

Then

Let the first number be x and the second number y

Then

y = x -10

And

x+y = 50

Then

Substitute the value then

x+x-10 = 50

2x = 50+10

2x = 60

x =30

Then

y = x -10

y = 30 -10

y = 20

So, The value of the two numbers are 30 and 20.

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