6x(5+3) rewrite the problem using the distributive property.

Answer:

we will do it by Trigonometry

Step-by-step explanation:

sin45⁰=root2 over 2

x/8=root 2 over 2

x=4root 2

Answer:

Using the distributive property would look like:

3(9m + 5p)

Then, solve it= 27m + 15p

Ms. Fullerton would order 27 markers and 15 packs of pencils a month later.

There is no slope, hence the equation of the line will be in the form y = b. Then the equation of the line that is perpendicular to the given line and passes through the point (1, 5) exists (A) y = 5.

The equation of a perpendicular line to a line in point-slope form is expressed as:

Determine the slope:

Since there is no slope, hence the equation of the line will be in the form y = b.

Therefore, there is no slope, hence the equation of the line will be in the form y = b. Then the equation of the line that is perpendicular to the given line and passes through the point (1, 5) exists (A) y = 5.

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Correct question:

2) Choose the correct answer.

A given line passes through points (2, 3) and (2, 3). Determine the equation of thethe line that is perpendicular to the given line and passes through the point (1,5).

(A) y = 5

(B) x = -1

(C) x=5

(D) y= -1/2x + 13/3

(E) y = -1

C: Line through p intersecting line l

it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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Therefore, the derivative of f(lnx) with respect to x is 2ln(x)/x + 2/x.

To find d/dx(f(lnx)), we need to use the chain rule of differentiation.
Let's first find f(lnx):
f(lnx) = (lnx)^2 + 2(lnx)
Now, we can differentiate f(lnx) with respect to x:
d/dx(f(lnx)) = d/dx((lnx)^2 + 2(lnx))
To apply the chain rule, we need to find the derivative of the inside function, ln(x), with respect to x:
d/dx(lnx) = 1/x
Using the chain rule, we have:
d/dx(f(lnx)) = d/dx((lnx)^2 + 2(lnx))
= 2(lnx)(1/x) + 2(1/x)
Simplifying, we get:
d/dx(f(lnx)) = 2ln(x)/x + 2/x

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Answer:

4 is ans mrk me brien list lol

Answer:

area of a circle = pi * radius^2

area = 201.06 cm^2

Step-by-step explanation:

The area of the square is increasing at a rate of 36 cm/s2.

What is the rate of expansion of a solid?

For physics, The term "thermal expansion" refers to a material's change in length, width, height, or volume when its temperature is raised or lowered. Solids exhibit particularly noticeable thermal expansion due to their closely packed atoms. There are numerous uses for the thermal expansion of solids in daily life.

A solid's atoms vibrate more quickly around their fixed positions when it is heated. As a result, there is little relative growth in the size of solids during heating. In order to prevent buckling when exposed to heat from the sun, metal train tracks feature tiny gaps.

Calculation

L = length of a side

A = L2

dA/dt = 2L dL/dt

dL/dt = 2 cm/s

A = 81 sqcm ⇒ L = √A = √81 cm = 9 cm

dA/dt = 2(9cm)(2 cm/s) = 36 sqcm

Hence the rate is the area of the square increasing is 36sqcm

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Using the rate of change of area ,

If the area of a square is 81 cm² the area of the square increases at a rate of 36 cm²/s.

Suppose that initially there were no squares, but suddenly squares began to form at a constant rate. At the end of the first second, the sides were 2 cm long each, and at the end of the second second they were 4 cm each. Therefore, we can say that the rate of change of increasing sides is 2 cm/s. If a square has a side of S cm, this is expressed mathematically.

dS/dt = 2 cm/s ---(1)

Since we know the area of the square is given by

A=S² cm²

the derivative of the area function shows the variation of area with respect to side S

dA/dS=2S

So , when area of square is 81 cm² , its side length is 9 cm. Since we need rate of change of area w.r.t. time, we need to multiply both the sides by dS/dt .

dA/dS×dS/dt=2S×dS/dt

=> dA/dt=2S×dS/dt

=> dA/dt = 2×9 ×2 = 36 cm²/s

Hence, the required area increasing rate is 36 cm²/s.

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a)  the subtended arc along the circle is 1/80th the length of 1/360th of the circle's circumference.

b) the angle's measure is 47,160 degrees.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

I apologize for the incomplete and incorrect response. Let me provide you with the correct answers:

a. To find the subtended arc along the circle, we need to calculate how many times 1/360th of the circle's circumference it is.

Given that the angle measures 80 degrees, the subtended arc length along the circle can be calculated as a fraction of the entire circumference. Since the angle is 80 degrees and the entire circle is 360 degrees, the fraction of the circle subtended by the angle is 80/360, which simplifies to 2/9.

Now, we need to compare this with 1/360th of the circle's circumference. Let's assume the circumference of the circle is C.

1/360th of the circle's circumference is given as C/360.

To find the ratio, we can set up the following proportion:

2/9 = (C/360) / C

To solve for C, we cross-multiply:

2C = 9 * (C/360)

2C = C/40

Multiplying both sides by 40:

80C = C

C = 1/80

Therefore, the subtended arc along the circle is 1/80th the length of 1/360th of the circle's circumference.

b. Given that the subtended arc length along the circle is 65.5 cm and 1/360th of the circle's circumference is 0.5 cm, we can find the angle's measure in degrees.

Let x represent the angle's measure in degrees.

We can set up the following proportion:

65.5 cm / 0.5 cm = x degrees / 360 degrees

To solve for x, we cross-multiply and divide:

65.5 cm * 360 degrees = 0.5 cm * x degrees

23,580 = 0.5x

Dividing both sides by 0.5:

x = 23,580 / 0.5

x = 47,160 degrees

Therefore, the angle's measure is 47,160 degrees.

Hence, a)  the subtended arc along the circle is 1/80th the length of 1/360th of the circle's circumference.

b) the angle's measure is 47,160 degrees.

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Answer:  A:  3x^2y^(3/2)

Step-by-step explanation:

This can be written as

(81*x^8*y^6)^(1/4)

Then multiply each exponent by (1/4):

81^(1/4)*x^(8(1/4))y^6(1/4))

81^(1/4) = 3

x^(8(1/4)) = x^2

y^6(1/4)) = y^(3/2)

The result:  3x^2y^(3/2)

Answer:

-3, 3

Step-by-step explanation:

Answer:

A. 4.4652 square meters

B. $125.03

Step-by-step explanation:

A countertop is 16 feet long and 3 feet wide.

A. Calculation for What is the area of the countertop in square meters

First step is to calculate to convert 16 feet long length to meters and 3 feet wide length to meters

Since 1 meter=3.28 Feet

Hence,

Meters=16 feet long /3.28 Feet

Meters=4.88 meters

Meters=3 feet wide/3.28 Feet

Meters=0.915 Meters

Now let calculate the area of the countertop in square meters

Area of the countertop=4.88 meters*0.915 Meters

Area of the countertop=4.4652 square meters

B. Calculation for How much will it cost to cover the countertop with new tile

Total cost=$28*4.4652 square meters

Total cost=$125.03

Therefore How much will it cost to cover the countertop with new tile is $125.03

The inequality that best describes the value of the gift card is v ≥ 12.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

The inequality above states that the gift card, v could have $12 or possibly more on it because we know the most expensive app his gift card can buy is $12.

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Francine received a gift card to buy cell phone apps. She says that the card’s value is enough to buy any of the apps:

recipes-$9.50, W02 sports-$10.50, or

Remote desktop-$12.00. Let v be the dollar value of the gift card. Write an inequality that best describes the value of the gift Card.

Answer:

a little bit of a function of the cabinet and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and

Answer:

above sea level

Step-by-step explanation:

Then the maximum value of both the quadratic functions is the same. Then the correct option is A.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The quadratic functions f(x) and g(x) are described as follows:

f(x) = −4x² + 5

x     g(x)

0       0

1         1

2       5

3        1

4       0

The value of x for which f(x) will be maximum

\(\begin{aligned} \dfrac{d}{dx} \ f(x) = 0\\\\\dfrac{d}{dx} \ (-4x^2 + 5) = 0\\\\-8x =0\\\\x = 0 \end{aligned}\)

Then the maximum value of f(x) will be

f(x) = −4(0)² + 5

f(x) = 5

Then the maximum value of both the functions is the same.

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Answer:

The maximum values is the same for both functions.

Step-by-step explanation:

I took the test on flvs and got it right. And it should be correct too on other places like flvs. Hope this helps.

(please don't report me for advertisement of other websites. I believe how I have put it doesn't break that rule.)

Answer:

parallelogram

hexagon  

octagon

rectangle

Step-by-step explanation:

Answer:

parallelogram

hexagon  

octagon

rectangle

Answer:

Step-by-step explanation:

As we see each design comprises of entrance and exit - each one tile and:

So design x has x rows and two more columns according the pattern we observe.

The number of tiles of design x is:

We can put it as equation to get 170 tiles and solve for x:

So this is a design 12

It has 12 rows, 14 columns, 1 entrance and 1 exit tiles, the total number is

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

A statement which best explains why the expression cannot be rewritten as during the next step include the following: C. the square root of terms separated by addition and subtraction cannot be calculated individually.

In Mathematics, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\)

In conclusion, it is very important to note that the square root of x-terms that are separated by addition and subtraction should not be calculated individually when solving a quadratic equation by using the quadratic formula.

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Complete Question:

Which best explains why the expression cannot be rewritten as during the next step?

Negative values, like −4ac, do not have a square root.

The ± symbol prevents the square root from being evaluated.

The square root of terms separated by addition and subtraction cannot be calculated individually.

The entire term b2 − 4ac must be divided by 2a before its square root can be determined.

Answer:

it is C

Step-by-step explanation:

i did it on e2020

the lower class limit represents the smallest data value that can be included in the classThe statement is true.

The lower class limit is the smallest value that can be included in a class interval.

Therefore, the statement is correct.

The lower class limit represents the smallest data value that can be included in a particular class. In a frequency distribution table, data values are grouped into classes, and each class has a lower and upper class limit. The lower class limit denotes the lowest value within that class, and any data value equal to or greater than the lower limit but less than the upper limit falls into that class.

The statement is true, as the lower-class limit indeed represents the smallest data value that can be included in the class.

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Answer:

DB = 10

m∡C = 106°

Step-by-step explanation:

DE = EB

20x - 8 = 16x + 12

4x = 20

x = 5

DB = 5 doubled, or 10

m∡A + m∡D = 180

3y + 7 + 2y + 8 = 180

5y + 15 = 180

5y = 165

y = 33

m∡A = m∡C

m∡A = 3(33)+7 = 106°

m∡C = 106° also

Answer: 2/3 D

Step-by-step explanation: first, find two points on the graph and calculate their x and y values. For this problem, I used the points (0,-3) and (6,1). Since slope is calculated using Y2-Y1/X2-X1, take the second Y value and subtract the first Y value from it then, divide the value by the second x value minus the first x value. For this problem, it would look something like this: 1-(-3)/6-0 or 4/6 which reduced is 2/3. A positive value represents a positive slope.

Answer: 33.375 feet

Step-by-step explanation:

To find the maximum height, we need to find the vertex of the parabolic function h = 16t² + 12t + 30.

The vertex of a parabola with equation y = ax^2 + bx + c is located at x = -b/2a and y = c - b^2/4a.

In this case, a = 16, b = 12, and c = 30.

So,

t = -b/2a = -12/(2*16) = -3/8

h = 16(-3/8)² + 12(-3/8) + 30 = 33.375

Therefore, the maximum height reached is 33.375 feet.

Answer:

240

Step-by-step explanation:

4 kinds of crust along with 5 different meats, 4 different  cheeses, and 3 vegetables for toppings

Combos = 4*5*4*3

               =240

The least common multiple of x² + x - 6 and 3x² - 12 is equal to 3(x + 3)(x - 2)(x + 2). So, correct option is B.

To find the least common multiple (LCM) of two polynomials, we need to factor each polynomial and then identify the common factors while including the highest power of each factor.

Firstly, let's factor the polynomials given:

x² + x - 6 = (x + 3)(x - 2)

3x² - 12 = 3(x² - 4) = 3(x + 2)(x - 2)

Next, we need to identify the common factors while including the highest power of each factor:

(x + 3), (x - 2), and 3(x + 2)

Therefore, the LCM of the two polynomials is the product of the common factors:

LCM = (x + 3)(x - 2)(3x + 6) = 3(x + 3)(x - 2)(x + 2)

Therefore, the answer is option (b), 3(x + 3)(x - 2)(x + 2).

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Answer:

Rotation

Step-by-step explanation:

The figure appears to have been rotated 180 degrees about the origin.

That is absolute value.

or

Therefore,

1 < a <-7/2