I NEED ANSWERS FAST I WILL GIVE BRAINLIEST, FOR THE TUV one Using the following image, solve for
x
And for the other one find UW

The factored form of the given expression is (3x+2)(9x²-6x+4).

Given the expression is 27x³+8.

In order to be factor out any polynomial expression, we want to identify firstly the method of factoring to be used in the given expression. We also need to simplify the factors.

We are given the expression 27x³+8.

We want to factor out the given expression.

Applying the sum of two cubes formula x³+y³=(x+y)(x²-xy+y²), we have:

27x³+8=(3x)³+(2)³

27x³+8=(3x+2)(3²x²-3x·2+2²)

27x³+8=(3x+2)(9x²-6x+4)

Hence, the factored form of the given expression 27x³+8 is (3x+2)(9x²-6x+4).

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The endpoints of the latus rectum of the parabola are \((\dfrac{1}{2} , \dfrac{1}{2} )\) and \((\dfrac{-1}{2} , \dfrac{1}{2} )\).

The latus rectum of a parabola is a line segment that passes through the focus and is perpendicular to the axis of symmetry.

Given: equation of the parabola is \(\(y = \frac{1}{2}x^2\)\).

For a parabola with equation \(\(y = \frac{1}{2}x^2\)\), the standard form is

    \(\(y = ax^2\)\)

and, the vertex of the parabola is at the origin (0, 0).

Now, the focus of the parabola is located at a distance of a units above the vertex, \(\(a = \dfrac{1}{2}\)\).

So, the focus is at \((0, \(a\))\) = \((0, \frac{1}{2} )\).

Since the axis of symmetry is the y-axis, the latus rectum will be a horizontal line.

The endpoints of the latus rectum will be equidistant from the focus and lie on a line parallel to the x-axis.

The distance from the focus to each endpoint of the latus rectum is twice the focal length, i.e., 2a = 1.

The endpoints of the latus rectum will be at a distance of 1 unit from the focus in the positive and negative x-directions.

So, the endpoints of the latus rectum are \((\dfrac{1}{2} , \dfrac{1}{2} )\) and \((\dfrac{-1}{2} , \dfrac{1}{2} )\).

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The question is incorrect format, the correct format is

Find the endpoints of the latus rectum of the parabola below.\(\(y = \frac{1}{2}x^2\)\)enter the endpoints as ordered pairs (x,y).

Answer:

sin2x = 16/65

cos2x = -63/65

tan2x = -16/63

Explanation:

the tangent of an angle is equal to the opposite side over the adjacent side. So, if the tan(x) = 8, we can represent this as the following diagram:

Therefore, we can calculate the value of the hypotenuse as:

With the hypotenuse, we can calculate sin(x) and cos(x) as follows:

We type the negative sign because the question says that sin(x) is negative.

Now, we will use the following trigonometric identities to find sin(2x), cos(2x) and tan(2x)

Therefore, replacing the values, we get:

So, the answers are:

sin2x = 16/65

cos2x = -63/65

tan2x = -16/63

Answer:

Q = 1/4 x M

That is because the more time passes, the more questions he answers.

Answer:

through a given plane

Step-by-step explanation:

Given points (2,2) and (1,-2)

Let's say A=(2,2) and B=(1,-2)

Formula for equation of a line passes through two points.

Line equation = \(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

While solving the line equation carefully observe the signs of coordinates.

\(\frac{y_2-y_2}{x_2-x_1}\) can be called as slope m.

First solve slope m=\(\frac{-2-2}{1-2}\)

                            m=\(\frac{-4}{-1}\)

                             m=4

Put m and A(2,2) in line equation.

         y-2=4(x-2)

          y-2=4x-8

Shift y-2 to right hand side.

         4x-y-8+2=0

         4x-y-6=0

Therefore, The equation of the line that passes through (2,2) and (1,-2) is

  4x-y-6=0

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The measure of the angle formed by a side and the angle bisector is 26 degrees.

If the measure of the given angle is 52 degrees, then the measure of the angle formed by a side and the angle bisector of that given angle can be found as follows:

The angle bisector divides the given angle into two equal angles, so each of the two resulting angles is half of the measure of the given angle.

Therefore, the measure of the angle formed by a side and the angle bisector is:

52 degrees / 2 = 26 degrees

So, the measure of the angle formed by a side and the angle bisector is 26 degrees.

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Answer:

8. Yes

9. No

12. No

13. Yes

Step-by-step explanation:

all angles in quadratics must be equal to 360 degrees

Answer:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Answer:

46,288

Step-by-step explanation:

40,000 + 6,000 + 200 + 80 + 8

46,288

Hope this helps :D

Answer:

1 2/3

Step-by-step explanation:

Answer:

A. 1 2/3

Step-by-step explanation:

−4 1/3

−2 3/5

1 2/3

The type of sampling used in this scenario is called "random sampling" or "simple random sampling".

In random sampling, each member of the population (in this case, the 200 people) has an equal chance of being selected. Since the Excel generated random numbers and the corresponding names were chosen, without any specific criteria or bias, it represents a random selection process. Therefore, it is an example of random sampling.

what is  random sampling?

Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal and independent chance of being chosen. It is a fundamental technique used in statistics and research to gather data and make inferences about the larger population.

In random sampling, every individual or element in the population has an equal probability of being selected for the sample. This ensures that the sample is representative of the population and reduces bias. Random sampling helps to generalize the findings from the sample to the entire population, as it provides a fair and unbiased representation.

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Answer:

35ab = 48

Step-by-step explanation:

given

5a = 6 ( divide both sides by 5 )

a = \(\frac{6}{5}\)

and

7b = 8 ( divide both sides by 7 )

b = \(\frac{8}{7}\)

substitute these values for a and b into the expression and simplify

35ab

= 35 × \(\frac{6}{5}\) × \(\frac{8}{7}\) ( divide 35 and 5 by 5 )

= 7 × 6 × \(\frac{8}{7}\)

= 42 × \(\frac{8}{7}\) ( divide 42 and 7 by 7 )

= 6 × 8

= 48

To calculate the present value of a zero-coupon bond, we can use the formula: Present Value = Future Value / (1 + Interest Rate)^n

where Future Value is the par value of the bond, Interest Rate is the annual market interest rate, and n is the number of years. In this case, the Future Value is $2,000, the Interest Rate is 10% (or 0.10), and the number of years is 5. Using Excel, we can calculate the present value as follows:
1. In cell A1, enter the Future Value: 2000
2. In cell A2, enter the Interest Rate: 0.10
3. In cell A3, enter the number of years: 5
4. In cell A4, enter the formula for calculating the present value: =A1 / (1 + A2)^A3
5. Press Enter to get the result.

The present value of the 5-year zero-coupon bond with a $2,000 par value and an annual market interest rate of 10% is $1,620.97.

The formula for present value calculates the current worth of a future amount by discounting it back to the present using the interest rate. In this case, the future value is $2,000, and we divide it by (1 + 0.10)^5 to account for the effect of compounding over 5 years. The result is the present value of $1,620.97, which represents the amount that is considered equivalent to receiving $2,000 in 5 years at a 10% interest rate.

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Answer: A

Step-by-step explanation: Just sreach it up BURH

Answer:

10h + 5

Step-by-step explanation:

16h + 5 - 6h

combine like terms

16h - 6h + 5

10h + 5

if I misunderstood the question please let me know!

Answer:

10h + 5

Step-by-step explanation:

16h + 5 - 6h

10h + 5

why that's the answer? because the variable can't move or change so that's the final answer of the equation

The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second

The length of the ladder = 17

Consider the length of the base as x and the height is h

The rate at which the ladder is sliding = 5 feet per second

dx/dt = 5

Apply the Pythagorean theorem

x^2 + h^2 = 17^2

h^2 = 289 - x^2

h = \(\sqrt{289-x^2}\)

The rate of change of height with respect to x is

dh/dx = - x / (289 - x^2)^(1/2)

dh/dt = dh/dx × dx/dt

Substitute the values in the equation

= - 15 / (289 - 15^2)^(1/2) × 5

= -15/8 × 5

= -75/8 feet per second

Therefore, the rate of change of height when x = 15 is -75/8 feet per second

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Answer:

Below

Step-by-step explanation:

REMEMBER: for a right triangle  sin (30) = opposite LEG/ hypotenuse

  so sin 30 =  4 / hypotenuse         now, with a calculator sin 30 = 1/2

            1/2   = 4 / hypotenuse      so hypotenuse = 8

Now it is a right triangle so Pythagorean theorem applies

  hyp ^2 = 4 ^2   +   BM^2

   8^2 = 4^2 + BM^2

      48 = BM^2     so  BM = sqrt (48 ) = 4 sqrt 3

Finally, all of the internal angles of ANY triangle sum to 180 °

   so angle x = 180 - 90 - 30 = 60°

Answer:

I Think D.

Step-by-step explanation:

The percent change in the cookies sales from Tuesday to Wednesday equals -18.2%.

Number of cookies sold on Tuesday = 132

Number of cookies sold on Wednesday = 108

Percent change between Tuesday and Wednesday sales

= Difference between the two amounts divide by the original amount Tuesday sales and then multiply by 100 to express the change as a percentage.

The difference between the two amounts is,

= 108 - 132

= -24

Negative result because the Wednesday sales were less than Tuesday sales.

Percent change from Tuesday to Wednesday is

= (-24/132) x 100%

= -18.2%

Rounding to the nearest tenth of a percent, we get,

Percent change = -18.2%

Therefore, there was a 18.2 percent decrease in sales from Tuesday to Wednesday.

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The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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The area and circumference of the given circle are 200.96 cm2 200.96 c m 2 and 50.24 cm 50.24 c m respectively.

Circumference of circle:

In geometry, a circumference is the circumference of a circle or an ellipse. That is, the circumference will be the length of the arc of the circle as if it were open and straight to the line segment. More generally, the perimeter is the length of the curve around any closed figure. The circumference can also designate the circle itself, the trajectory corresponding to the edge of a disk. The circumference of a sphere is the circumference or length of one of its great circles.

Area of circle:

The area of ​​a circle is the space the circle occupies in a two-dimensional plane. Alternatively, the space occupied inside the boundary/perimeter of a circle is called the area of ​​the circle. The formula for the area of ​​a circle is A = πr2, where r is the radius of the circle. Area unit is square unit, such as m2, cm2, in2, etc.

According to the Question:

The circumference C of a circle with radius r is given by

C = 2πr

where the units of C will be the same as the unit of R.

The problem tells us that the radius r = 8m.

And, we will say π = 3.14

So,

C = 2(3.14)(8) = 50.24m

The units are meters.

Now, the area A of a circle with radius r is given by

A = πr², where the units of A will be the units of r squared.

Again,

we know r = 8,π = 3.14, so

A= 3.14(8²)

8² = 8⋅8 = 64,

Thus,

A= 64(3.14) = 200.96m²

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The expression (1.4 × 10¹)(8 × 10⁴) in scientific notation is 1.12 × 10⁵ and for expression (1.1 × 10⁻⁵)(3 × 10²) the  scientific notation is 3.3 × 10⁻³

The given expressions are (1.4 × 10¹)(8 × 10⁴) can be calculated as:

Firstly we will multiply the decimal numbers and whole numbers

1.4 × 8

One point four times eight is equal to eleven point two

= 11.2

Now we multiply the base with ten

10¹ × 10⁴

We know that when the bases are same then the powers will be added in multiplication

= 10⁵

Combining these results, we have 11.2 × 10⁵

Therefore, the result in scientific notation is 1.12 × 10⁵

Similarly, for (1.1 × 10⁻⁵)(3 × 10²)

We will multiply the decimal numbers and whole numbers

1.1 × 3 = 3.3

Now the base with ten will be multiplied

10⁻⁵ × 10²

The bases are same the powers will be added

= 10⁻³

Combining these results, we have 3.3 × 10⁻³

Therefore, the result in scientific notation is 3.3 × 10⁻³

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Answer:

x = 1/3

There is one solution

Step-by-step explanation:

3x -1= 1-3x

Add 3x to each side

3x+3x -1= 1-3x+3x

6x-1 =1

Add 1 to each ide

6x-1+1 = 1+1

6x =2

Divide each side by 6

6x/6 = 2/6

x = 1/3

There is one solution

Answer:

x = \(\frac{1}{3}\) One solution

Step-by-step explanation:

3x - 1 = 1 - 3x

Add 1 to both sides;

3x = 2 - 3x

Add 3x to both sides;

6x = 2

Divide both sides by 6;

x = \(\frac{2}{6}= \frac{1}{3}\)

One solution

The possible rational roots of P(x).

According to the Rational Root Theorem, the possible rational roots of P(x) are the fractions ±p/q, where p is a factor of the constant term (-7) and q is a factor of the leading coefficient (3). The possible values for p are ±1 and ±7, and the possible values for q are ±1 and ±3. Therefore, the possible rational roots of P(x) are:

±1/1 = ±1
±7/1 = ±7
±1/3 = ±1/3
±7/3 = ±7/3

So, the possible rational roots of P(x) are ±1, ±7, ±1/3, and ±7/3.

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Answer:

Hello!

____________________

Your answer would be (C).

Hope this helped you!

Answer:

first space shuttle flight, Hubble Space telescope launch, last humans on the moon

Step-by-step explanation:

The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.

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