PLEASE HELP!!!!!!!!!!!!!

Answer:

-24a^10

Step-by-step explanation:

You multiply like terms with like terms. You multiply -4 with 6, and a^5 with a^5.

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The equation that would best be solved using completing the square is:

2x² + 15x = 6.

Option A is the correct answer.

We have,

Completing the square is a useful technique to solve quadratic equations, particularly when the coefficient of the x² term is not 1.

In this case,

The equation 2x² + 15x = 6 is a quadratic equation with a coefficient of 2 for the x² term.

To solve this equation using completing the square, we follow these steps:

- Move the constant term to the other side of the equation:

2x² + 15x - 6 = 0.

- Divide the entire equation by the coefficient of the x² term (2) to make the coefficient 1:

x² + (15/2)x - 3 = 0.

- Take half of the coefficient of the x term (15/2) and square it:

(15/2) / 2 = 15/4,

(15/4)² = 225/16.

- Add the calculated value to both sides of the equation:

x² + (15/2)x + 225/16 - 3 = 225/16,

x² + (15/2)x + 201/16 = 225/16.

- Rewrite the left side of the equation as a perfect square trinomial:

(x + (15/4))² = 225/16.

- Take the square root of both sides of the equation, considering both the positive and negative square roots:

x + (15/4) = ±√(225/16).

Solve for x:

x = -15/4 ± √(225/16).

Therefore,

The equation 2x² + 15x = 6 is best solved using completing the square.

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To answer this question, solve the given expression for calculating velocity for a, this way:

The correct answer is B.

3.8y + 5.6y -2=2.7

9.4y -2 = 2.7

9.4y = 4.7

y =4.7 / 9.4

y=0.5

The ordered pair that would form a proportional relationship with the point graphed (-20, 40) is (15, -30).

To determine which ordered pair would form a proportional relationship with the point (-20, 40), we need to find a pair that has the same constant of proportionality when compared to the given point.

The constant of proportionality (k) is found by dividing the y-coordinate by the x-coordinate. For the given point, k = 40 / -20 = -2.

Now, let's check each of the provided ordered pairs to see which one has the same constant of proportionality:

1. (-40, 20): k = 20 / -40 = -0.5 (Not proportional)
2. (-10, -20): k = -20 / -10 = 2 (Not proportional)
3. (15, -30): k = -30 / 15 = -2 (Proportional)

So, the ordered pair that would form a proportional relationship with the point graphed (-20, 40) is (15, -30).

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The degree of expression is one.

And, There are two terms in the expression.

Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division

Given that;

The expression is,

⇒ 2x + 7

Now, We can see that,

The degree of expression is one because it is a linear equation.

And, There are two terms in the expression that is, 2x and 7

Thus, The degree of expression is one.

And, There are two terms in the expression.

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The non linear equation is Option B.

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the non linear equation be represented as A

Now , the value of A is

The equation can be calculated as a linear equation if the slope of the point remains the same

So , when the slope m is constant , it will be a linear equation

a)

Let the first point be P ( 2 , 5 )

Let the second point be Q ( 4 , 17 )

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 17 - 5 ) / ( 4 - 2 )

Slope m = 12 / 2

Slope m = 6

Let the third point be R ( 7 , 35 )

Let the fourth point be S ( 13 , 47 )

Now , the slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope m = ( 47 - 35 ) / ( 13 - 7 )

Slope m = 12 / 6

Slope m = 2

Hence , the slope between the points is not the same and the equation of line will not be a linear equation

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Answer:

All real numbers

Step-by-step explanation:

The function operation of adding two functions f(x) and g(x) is defined as (f+g)(x) = f(x) + g(x).

Given f(x)= 2x^2+x-3 and g(x)=x-1, we have:

(f+g)(x) = f(x) + g(x) = (2x^2+x-3) + (x-1) = 2x^2+2x-4

The domain of a function is the set of all possible input values (x-values) for which the function produces a valid output (y-value). Since the function (f+g)(x) = 2x^2+2x-4 is a polynomial function, it is defined for all real values of x. Therefore, the domain of (f+g)(x) is all real numbers, or (-infinity,+infinity)

Answer:

Step-by-step explanation:

1). By applying Pythagoras theorem in the triangle formed by two sides and the diagonal,

Length of the diagonal = \(\sqrt{(\text{side})^2+(\text{side})^2}\)

                                      = \((\text{side})\sqrt{2}\)

                                      = 25√2

                                AC ≈ 35.56 units

2). Since, diagonal of a square is the angle bisector of interior angles of the square,

m∠CAB = 45°

By applying sine rule in ΔABC,

sin(45°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

\(\frac{1}{\sqrt{2}}=\frac{AB}{AC}\)

\(\frac{1}{\sqrt{2}}=\frac{25}{AC}\)

AC = 25√2

AC ≈ 35.56 units

The expected number of full days hereafter that the machine will remain operational before the next breakdown is still 10 days

We calculated that the expected number of full days until the next breakdown was 10 days. Now, suppose that the machine has already gone 15 full days without a breakdown since the last repair was completed. This means that the machine has already exceeded the expected number of full days until the next breakdown.

However, the fact that the machine has already gone 15 full days without a breakdown does not change the underlying probability distribution of the time until the next breakdown. The distribution is still exponential with a mean of 10 days. Therefore, even though the machine has already exceeded the expected number of full days until the next breakdown, the expected number of full days hereafter that the machine will remain operational before the next breakdown is still the same as before: 10 days.

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Answer:

y=-5x+3

Step-by-step explanation:

To start off, we can find the slope by getting 2 points on the line that is convenient. I found 2 points: (0,3) and (1,-2), and calculated the slope to get -5 (Slope: 3-(-2)/0-1 which is 5/-1=-5). Then, we need to find the y intercept which is c in this case. The point (0,3) already has the y intercept, so the equation is y=-5x+3.

Answer: No

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

Answer:

no It cant

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

Answer:

C y = 3/4x + 12

Step-by-step explanation:

Area of triangle = 1/2 x base x height

Area of the triangle = 1/2 x 22 x 18 = 198 square m.

Area of semi circle = 1/2 x PI x r^2

Area of semi circle = 1/2 x 3.14 x 11^2 = 189.97 square m.

Total area = 198 + 189.97 = 387.97 square m.

Round up to 388 square m.

Answer:

6

Step-by-step explanation:

78

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\( \frac{2}{3} \div ( - \frac{9}{4} ) = \\ \)

\( \frac{2}{3} \times( - \frac{4}{9}) = \\ \)

\( - \frac{2 \times 4}{3 \times 9} = - \frac{8}{27} = - ({ \frac{2}{3} })^{3} \\ \)

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As Per the regression model, the tail length of the roadrunner will be underestimate, because the residual is positive.

The term regression model refers provides a function that describes the relationship between one or more independent variables and a response, dependent, or target variable.

Here we have given that a roadrunner is a desert bird that tends to run instead of fly. While running, the roadrunner uses its tail as a balance.

And we need to find based on the residual, does the regression model overestimate or underestimate the tail length of the roadrunner?

While we looking into the given question we have identified that  a sample of 10 roadrunners was taken, and the birds' total length, in centimeters (cm), and tail length, in cm, were recorded.

And the he output shown in the table is from a least-squares regression to predict tail length.

Here by looking at the given total length we know that suppose a road runner has a total length of 59.0 cm and tail length of 31.1 cm.

Based on these condition we have identified that option (a) is correct.

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Yes, CD- is perpendicular to DA-.

This can be reasoned as follows:

In quadrilateral ABCD on sphere P, we are given that DC- ⟂ CB- and AB- ⟂ CB-. From these perpendicularities, we can conclude that angle DCB is a right angle and angle ABC is also a right angle. Since opposite angles in a quadrilateral on a sphere are congruent, angle ADC is also a right angle.

Now, let's consider sides DC- and DA-. We are given that DC- ≅ AB-. Since congruent sides in a quadrilateral on a sphere are opposite sides, we can conclude that side DA- is congruent to side DC-.

In a right-angled triangle, if one side is perpendicular to another, then the triangle is a right-angled triangle. Therefore, since angle ADC is a right angle and side DA- is congruent to side DC-, we can deduce that CD- is perpendicular to DA-.

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In Chapter 2 of Volume II of Frankenstein, Victor Frankenstein concludes by stating, "for the first time I felt what the duties of a creator towards his creature were" (85). Victor's remark implies that he has finally realized that he has a responsibility towards the creature he has created, and that he must accept the consequences of his creation.

Victor recognizes that as the creator of the creature, he is morally obliged to ensure that the creature is well-treated and cared for. Victor expresses remorse for creating the monster and for failing to take responsibility for his actions as the creature's creator. He finally acknowledges his role in the creature's life and feels a sense of obligation to be there for him as his creator.

Victor understands the importance of having a sense of responsibility and accountability as a creator towards his creation. This demonstrates the theme of the novel, which is the dangers of playing God and the consequences that come with taking on a task that is beyond one's capabilities.

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Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm

Therefore;

1m = 100cm

16m = 16× 100 = 1600 cm

Therefore the maximum number of fence post that can be obtained is

1600/70 = 160/7

= 23.8 ( nearest tenth)

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Answer:

B. adding 4

Step-by-step explanation:

\(-48+4=-44 \\ \\ -44+4=-40 \\ \\ -40+4=-36 \\ \\ -36+4=-32\)

the answer is 0 Numble D

it help you

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

Below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/1

To find the length of the graph of f(x)=ln(4sec(x)) for 0≤x≤π/3, we first need to compute the derivative of the function.

f(x) = ln(4sec(x))
f'(x) = (1/sec(x)) * (4sec(x)) * tan(x) = 4tan(x)
Next, we use the arc length formula:
L = ∫ [a,b] √[1 + (f'(x))^2] dx
Substituting in the values, we get:
L = ∫ [0,π/3] √[1 + (4tan(x))^2] dx
We can simplify this by using the identity 1 + tan^2(x) = sec^2(x):
L = ∫ [0,π/3] √[1 + (4tan(x))^2] dx
 = ∫ [0,π/3] √[1 + 16tan^2(x)] dx
 = ∫ [0,π/3] √[sec^2(x) + 16] dx
 = ∫ [0,π/3] √[(1 + 15cos^2(x))] dx
 = ∫ [0,π/3] √15cos^2(x) + 1 dx
Using the substitution u = cos(x), we get:
L = ∫ [0,1] √(15u^2 + 1) du
This can be solved using trigonometric substitution, but the details are beyond the scope of this answer. The final result is:
L = 4/3 * √(15) * sinh^(-1)(√15/4) - √15/2
Therefore, the length of the graph of f(x)=ln(4sec(x)) for 0≤x≤π/3 is approximately 3.195 units.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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