The perimeter of a geometric figure is the distance around the outside of the figure. The perimeter of a rectangle is 44 feet. The length of the rectangle is 6 feet more than the width. What is the measure of the width?
Write the equation for find the perimeter of the rectangle. (Use the variable w)
How fast is the second car traveling>

The derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

To find the derivative of the given function g(x), we can apply the product rule and the chain rule. Let's break down the function into its constituent parts: f(x) = (x² - x + 1\()^1^0\) and h(x) = (tan(x))³.

Using the product rule, the derivative of g(x) can be calculated as g'(x) = f'(x) * h(x) + f(x) * h'(x).

First, let's find f'(x). We have f(x) = (x² - x + 1\()^1^0\), which is a composite function. Applying the chain rule, f'(x) = 10(x² - x + 1\()^9\) * (2x - 1).

Next, let's determine h'(x). We have h(x) = (tan(x))³. Applying the chain rule, h'(x) = 3(tan(x))² * sec²(x).

Now, we substitute these derivatives back into the product rule formula:

g'(x) = f'(x) * h(x) + f(x) * h'(x)

       = 10(x² - x + 1)² * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\)* (tan(x))² * sec²(x).

In summary, the derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹  * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

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To convert an area from inches to centimeters, conversion factor should be 15.24 square centimeters.

To convert an area from inches to centimeters, we use the conversion factor of 2.54 cm per inch.

This means that for every inch, there are 2.54 centimeters. In order to find the area in centimeters, we first need to find the area in inches, and then multiply it by 2.54.

To find the area, we use the formula
=> area = length x width.

Let's say the length of a rectangle is 2 inches and the width is 3 inches. The area of this rectangle would be 6 square inches

=> (2 x 3 = 6).

To convert this area to square centimeters, we multiply the area in inches by 2.54.

So,

=> 6 square inches x 2.54 = 15.24 square centimeters.

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Paper Company will make the following entry:

Debit: Notes Receivable - Dame Company $4,700

Credit: Accounts Receivable $4,700

What is an entry?

An "entry" in accounting refers to the recording of a financial transaction or event in the company's books or accounting system. It is the process of documenting the impact of a transaction on the financial statements.

1. Debit: Notes Receivable - Dame Company ($4,700) - This account represents the amount owed to Paper Company by Dame Company and is classified as a noncurrent asset since it will be settled in more than one year.

2. Credit: Accounts Receivable ($4,700) - This account represents the open accounts receivable from Dame Company, which is now being settled through the promissory note.

By making this entry, Paper Company acknowledges the receipt of the promissory note and removes the outstanding accounts receivable from their books, replacing it with a notes receivable asset.

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Answer:

24

i think:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+y=56

x+12=y

2x+12=56

2x=44

x=22

y=56-22

y=34

x=22

hope this helps

Answer:

34 and 22

Step-by-step explanation:

x + y = 56   Add the two equations together

x - y = 12

2x     = 56  Divide both sides by 2

x = 34

substitute 34 for x in either of the two original equations to solve for y

x + y = 56

34 + y = 56   Subtract 34 from both sides

y = 22

Check:

x + y = 56

34 + 22 = 56  Checks

x - y = 12

34 - 22 = 12

12 = 12  Checks

Answer:

ok thx

Step-by-step explanation:

Answer:

4 k^4

Step-by-step explanation:

(64 k^12) ^ 1/3

We know (ab)^c = a^c * b^c

64 ^ 1/3   k^12^1/3

4 * k^12^1/3

We know a^b^c = a^(b*c)

4 k^(12*1/3)

4 k^4

From the simplified form of the expression, the third term on expansion is \(54x^2y^6\)

Given the expression \((3x + y^3)^4\)

On expansion, the resulting expression will be:

Simplify the result to have:

From the simplified form of the expression, the third term on expansion is \(54x^2y^6\)

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Answer:

D

Step-by-step explanation:

D on edge

Answer:

im about to solvee

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Step 1: Write polynomial

4x⁵ - 16x² + 13x⁸

Step 2: Rearrange

13x⁸ + 4x⁵ - 16x²

The degree of a polynomial is the highest power. In this case, our degree would be 8 because of the x⁸ term being the largest exponent.

Answer:

i think the area would be 16

Step-by-step explanation:

sorry if im wrong

The probability of spinning a 1 is the same for both spinners: False​

The spinners that complete the question are added as an attachment

From the attached figures, we  have

Spinner 1

Number of 1 = 1

Sections = 4

Spinner 2

Number of 1 = 2

Sections = 6

The probability of obtaining 1 is calculated as

P(1) = Number of 1/Sections

So, we  have

Spinner 1

Number of 1 = 1

Sections = 4

P(1) = 1/4

Spinner 2

Number of 1 = 2

Sections = 6

P(1) = 2/6

By comparison

1/4 and 2/6 do not have the same value

Hence. it is false that the probability of spinning a 1 is the same for both spinners

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The length of a taut belt around the two pulleys is 79.3 cm.

The length of a taut belt around the two pulleys is calculated as follows;

Shapes formed within the two circles of the pulley.

From top to bottom, a rectangle, a right triangle and a trapezium.

The height of the right triangle is equal to length of the rectangle

base of the right triangle = radius of big circle - radius of small circle

base of the right triangle = (0.5 x 12 cm) - (0.5 x 6 cm) = 3 cm

tan α = height/base

tan (72.54)  = h/3

h = 3 tan(72.54)

h = 9.54 cm

The length of the trapezium at bottom is equal to length of rectangle at top, L = h = 9.54 cm

Portion of belt in contact with circumference of small circle is subtended by an angle = 2 × 72.54 = 145.08°

Length of belt in contact with circumference of smaller circle

= 2πr (θ/360)

= (2 x 6 cm)π x (145.08/360)

= 15.19 cm

Portion of belt in contact with circumference of big circle is subtended by an angle = 360 - 145.08° = 214.92⁰

Length of belt in contact with circumference of smaller circle

= 2πr (θ/360)

= (2 x 12 cm)π x (214.92 / 360)

= 45.01 cm

= 9.54 cm + 9.54 cm + 15.19 cm + 45.01 cm

= 79.28 cm

= 79.3 cm

Thus, the length of a taut belt around the two pulleys is 79.3 cm.

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Answer:

x = 9

Step-by-step explanation:

divide both sides by 14

Answer: x = 9.

Step-by-step explanation: Step 1: Flip the equation.

14x=126

Step 2: Divide both sides by 14.

14x /14

=

126 /14

x=9

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

x=40

Step-by-step explanation:

100+2x=180

80=2x

x=40

Answer:

40°, because 180 minus 100 is 80, then divided 80 by 2 (because there is two 2's) and you get 40

Step-by-step explanation:

Bleh :b

Answer: (3,-2)

Step-by-step explanation:

\(-3x-7y=5\\15x+6y=33\)

\(5(-3x-7y)=5(5)\\-15x-35y=25\)

new system:

\(-15x-35y=25\\15x+6y=33\)

add.

\(-29y=58\\y=-2\)

plug in -2 for y

\(-3x-7(-2)=5\\-3x+14=5\\-3x=-9\\x=3\)

system:

\((3,-2)\)

Answer:

(3, - 2 )

Step-by-step explanation:

- 3x - 7y = 5 → (1)

15x + 6y = 33 → (2)

multiplying (1) by 5 and adding to (2) will eliminate x

- 15x - 35y = 25 → (3)

add (2) and (3) term by term to eliminate x

0 - 29y = 58

- 29y = 58 ( divide both sides by - 29 )

y = - 2

substitute y = - 2 into either of the 2 equations and solve for x

substituting into (2)

15x + 6(- 2) = 33

15x - 12 = 33 ( add 12 to both sides )

15x = 45 ( divide both sides by 15 )

x = 3

solution is (3, - 2 )

From the quadrilateral proof seen below we can prove that;

∠C + ∠D = 2∠AOB

The bisection of an angle simply means to divide an angle into two equal parts.

The sum of the interior angles of a quadrilateral is 360 degrees. Thus;

∠A + ∠B + ∠C + ∠D = 360°     ------(1)

In △AOB,

∠AOB + ∠A/2 + ∠B/2 = 180°

Multiply through by 2 to get;

2∠AOB + ∠A + ∠B = 360°

Thus;

∠A + ∠B = 360° - 2∠AOB

Put 360° - 2∠AOB for ∠A + ∠B in eq 1 to get;

360° - 2∠AOB + ∠C + ∠D = 360°

This simplifies to;

∠C + ∠D = 2∠AOB

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Complete question is;

Bisectors of two adjacent angles of angles A and B of quadrilateral ABCD intersect at a point O. Prove that 2∠AOB = ∠C + ∠D

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is \(180^{o}\).

In the given question, point P is center of the given triangle such that <APB = <APC = <BPC = \(120^{o}\). Such that line PB bisects <ABC into two equal measures of \(30^{o}\).

Thus;

<ABP = \(30^{o}\)

Thus,

<ABP + <APB + <BAP = \(180^{o}\)

30 + 120 + <BAP = \(180^{o}\)

<BAP = \(180^{o}\) - 150

<BAP = \(30^{o}\)

Apply the Sine rule to determine the value of PB, such that;

\(\frac{a}{SinA}\) = \(\frac{b}{SinB}\)

\(\frac{8}{Sin 30}\) = \(\frac{PB}{Sin 30}\)

BP = \(\frac{8*Sin 30}{Sin 30}\)

    = 8

BP = 8.0

Therefore, the value of PB = 8 units.

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Answer:

the answer of this question is

f^-1(X) = X+11

X=18

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

As the die is fair the maximum number you can get on each die is 6 so even if we get both die's to roll on its maximum (6, 6) we still won't get a number above 12, so the probability of getting a number above 12 is impossible.

Answer:

C. In y^2-y=6, 6 should have been subtracted on both sides first.

Step-by-step explanation:

It is a quadratic equation so you subtract the 6 and create

y^2-y-6=0

Then you factor it to:

(y-3)(y+2)=0

The solutions then are:

y-3=0, y=3 and y+2=0, y=-2

{-2,3}

Answer:

area = (a + b)² = a² + 2ab + b²

Step-by-step explanation:

let side length = a + b

area of a square = side length × side length

⇒ area = (a + b)²

            = (a + b)(a + b)

            = a² + ab + ab + b²

            = a² + 2ab + b²

The fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².

The area of a square is given by the formula: Area = side × side.

In this case, the side of the square is a + b.

Therefore, the expression for the area of the square is:

Area = (a + b) × (a + b).

To fully expand this expression using the distributive property, we'll apply the FOIL method (First, Outer, Inner, Last):

Area = a(a + b) + b(a + b)

= a² + ab + ab + b²

= a² + 2ab + b².

So, the fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².

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The required fraction of socks that Bobo the clown has used can be\($\frac{\frac{1}{5}W+\frac{5}{8}B}{W+B}\)

Bobo likes to wear one white sock and one black sock.

Let the number of white socks be W and the number of black socks be B. Bobo changes his socks every day. At the end of several days, he finds that he has used exactly \(\frac15\) of his white socks.

So, the number of white socks he has used \(=\frac{1}{5}W\)

Also, he has used \(\frac58\) of his black socks. So, the number of black socks he has used \(=\frac{5}{8}B\)

The total number of socks Bobo has used = number of white socks used + number of black socks used

                                                                \(=\frac{1}{5}W+\frac{5}{8}B\)

The fraction of all of Bobo's socks he has used \(=\frac{\text{Total number of socks used}}{\text{Total number of socks}}\)

So, we need to find the total number of socks.

Total number of white socks = W

Total number of black socks = B

The total number of socks Bobo has is = Total number of white socks + Total number of black socks \(= W + B\)

The fraction of all of Bobo's socks he has used \(= \frac{\frac{1}{5}W+\frac{5}{8}B}{W+B}\)

Hence, the required fraction of socks that Bobo the clown has used can be calculated as \($\frac{\frac{1}{5}W+\frac{5}{8}B}{W+B}\)

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Answer:

c lines

Step-by-step explanation:

The t-value is often used instead of the z-value in statistical tests because the assumptions of the z-value are violated when the sample size is 30 or less.

The t-value is preferred over the z-value in certain scenarios due to the violation of assumptions associated with the z-value when the sample size is small (30 or less). The z-value assumes that the population standard deviation is known, which is often not the case in practice. In situations where the population standard deviation is unknown, the t-value is used because it relies on the sample standard deviation instead. By using the t-value, we account for the uncertainty associated with estimating the population standard deviation from the sample.

Additionally, the t-value is easier to calculate and interpret compared to the z-value. The t-distribution has a wider range of degrees of freedom, allowing for more flexibility in analyzing data. Moreover, the t-value is more widely known among statisticians and is readily available in statistical software packages, making it a convenient choice for conducting hypothesis tests and confidence intervals.

Overall, the t-value is preferred over the z-value when the assumptions of the z-value are violated or when the population standard deviation is unknown.

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Answer:

number 2 or 4 but i think 2

Step-by-step explanation:

Answer:

35 :)

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

D = Divide

M = Multiply

S = Subtract

B = Bring down

Answer:

-16/65

Step-by-step explanation:

We can use the sum formula for sine to find sin(a+b):

sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

We are given the values of sin(a) and sin(b), but we don't have the values of cos(a) and cos(b). However, we can use the Pythagorean identity to find them:

sin^2(a) + cos^2(a) = 1   =>   cos^2(a) = 1 - sin^2(a)

sin^2(b) + cos^2(b) = 1   =>   cos^2(b) = 1 - sin^2(b)

We know that angle A is acute, so cos(a) is positive. For angle B, we know that it is obtuse, which means that cos(b) is negative. With this information, we can find the values of cos(a) and cos(b):

cos(a) = sqrt(1 - sin^2(a)) = sqrt(1 - (3/5)^2) = 4/5

cos(b) = -sqrt(1 - sin^2(b)) = -sqrt(1 - (5/13)^2) = -12/13

Now we can substitute these values into the sum formula for sine:

sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

        = (3/5)(-12/13) + (4/5)(5/13)

        = -36/65 + 20/65

        = [-16/65]