the names of a flag is 7 inches more than its height ......

Answer:

\( _{ - \pi} \int ^{\pi} \cos(2(5x) dx = _{ - \pi} \int ^{\pi} \cos(10x) dx \\ let \: 10x \: be \: u \\ \frac{d(10x)}{dx} = du \\ dx = \frac{du}{10} \\ignore \: limits \\ _{ - \pi} \int ^{\pi} \cos(2(5x) dx = \int \cos(u) \frac{du}{10} \\ = \frac{1}{10} \sin(u) + c \\ substitute \: for \: u \\ = \frac{1}{10} \sin(10x) |^{\pi} _{ - \pi} \\ = \frac{1}{10} (( \sin(10\pi) - ( \sin( -10 \pi) ) \\ \)

Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly.

I hope this helps.

Step-by-step explanation:

8/3

8-3=6

6/3

6-3=

Answer:

7

Step-by-step explanation:

1) for '8'; '3'; and '10':

8/2+3+3=10

2) for '2'; '5' and '11':

2/1+5+5=11

3) for '6'; '2' and '?':

6/2+2+2=7

The area of a circle is given by:

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

Answer:

-27 - 6y

Step-by-step explanation:

Applying the tangent ratio, the length of n in simplest form is: n = 3.

One of the ratios of the trigonometric ratios that is used to solve a right triangle is the tangent ratio, which is:

tan ∅ = opposite side length/adjacent side length, where ∅ is the reference angle.

Given the following:

Substitute

tan 60 = 3√3 / n

Multiply both sides by n

n(tan 60) = (3√3/n)(n)

n(tan 60) = 3√3

Divide both sides by tan 60

n(tan 60)/tan 60 = 3√3/tan 60

n = 3√3/tan 60

n = 3√3 / √3 [Note: tan 60 = √3]

n = 3

Therefore, applying the tangent ratio, the length of n in simplest form is: n = 3.

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Step-by-step explanation:

Let's assume Debbie paid $1700 in interest, while Jan paid $9000.

Debbie Saves = $1700* 0.28

Jan Saves = $9000 * 0.28

Debbie Saves $476 in taxes

Jan Saves $2520 in taxes

Answer:

(-\(\sqrt{3\\}\)/2,1/2);(-x,y)

Step-by-step explanation:

use the 1, root 3, 2 trick. 150's reference angle is 30 as q2 = 180-x


1 is the opposite here,  2 is always hypotenuse, root 3 is adjacent here

x value is based on cos = CAH
it's minus because in q2 angles are (-x,y)

hope that helps

Answer:

7.5

Step-by-step explanation:

The actual fraction is 15/2, which is equivlent to 7.5

Im pretty sure its infinite solutions

Part A:

The y-intercept is $1,500

The x-intercept is 20 days

Part B:

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

f(x) = -75·x + 1500

Part D:

$1,125

Step-by-step explanation:

The information given are;

x,                 g(x)

0,                 $1,500

2,                 $1,350

4,                 $1,200

The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is  y = m·x + c

Where;

m = The slope

c = The y-intercept

From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);

The y-intercept = y at x = 0 = 1,500

y = -75·x + 1500

x = 1500/75 = 20

Part B:

The equation in point-slope form is y - y₁ = m×(x - x₁)

Which gives;

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

The equation of the line using function notation is f(x) = -75·x + 1500

Part D:

The balance in the bank after 5 days is f(5) = -75 × 5  + 1500 = $1,125

The function is never negative.

option D is the correct answer.

A negative function is a function in which the resulting y value is negative.

Also, a negative function is a function that has y values that are less than zero for any x values. In other words, a negative function has a negative sign in front of its output.

From the given graph, the x and y values started from 0 and increases into the positive direction, so we can conclude that the function can never be negative.

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The domain and the range of the graph are

From the question, we have the following parameters that can be used in our computation:

The graph

The rule of a function is that

Using the above as a guide, we have the following:

Domain = [-6, -1] U [1, 5}

And, we have

Range = [-3, 7]

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Answer: contrapositive ⌝Q→⌝P.

Answer:

  117

Step-by-step explanation:

You want the cross product of vectors u = (12i -3j) and v = (-5i +11j).

The cross product of 2-dimensional vectors is a scalar that is effectively the determinant of the matrix of coefficients.

  u×v = (12)(11) -(-3)(-5) = 132 -15

  u×v = 117

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Answer:

zeroooooo

Step-by-step explanation:

there is no change in y coordinate

Positive number is a square root

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

Answer:

\( \boxed{ \tt{2.2 \: degrees}}\)

Answer:

Step-by-step explanation:

Area of ΔCAD, right triangle:

Area of the sector CAD:

Area of segment CED:

Area of ΔCBD, equilateral triangle:

Area of sector CBD:

Area of segment CFD:

Compare the areas of the segments:

Answer:

for 1 st

area of segment CAD=90/360×π×10²=78.54m²

for second

area of segmentBCD=60/360×π×12²=75.4m²

so

CAD has greater area

Answer:

1 answer

Answer:lower bound = 147.5gupper bound = 152.5gStep-by-step explanation:if you were rounding a single digit number to the nearest 5, ...

Step-by-step explanation:

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

The estimated regression equation developed in part (a) to predict overall customer satisfaction is given by:

Overall Satisfaction = 0.3151*Trade Price + 0.3132*Speed of Execution + 1.5026

The coefficient of determination (R2) is a measure of how well the equation fits the data and is calculated as the proportion of the variation in overall satisfaction that is explained by the model. In this case, the R2 = 0.39, which means that 39% of the variation in overall satisfaction can be explained by the trade price and speed of execution variables.

To determine the overall significance of the relationship, the F test was used. The F statistic was calculated to be 17.874, which was significant at the 0.05 level (p-value = 0.000), indicating that the model was an effective predictor of overall customer satisfaction.

The t tests were then used to determine the significance of each independent variable. The t statistic for Trade Price was 2.639 (p-value = 0.009), indicating that the variable was significant at the 0.05 level, while the t statistic for Speed of Execution was 2.565 (p-value = 0.012), indicating that the

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

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The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

Step-by-step explanation:

Identical bags should have both blue and yellow marbles inside.

Also each color should be divisible by the number of bags.

It becomes a question of finding the greatest common factor of 54 and 99.

Prime factors of both numbers:

Find the GCF:

The greatest number of bags is 9.

To calculate the buoyant force that will be applied to a string of 2 inch OD 1.688 ID open end tubing, you will need to calculate the weight of the submerged portion of the tubing. This can be done using the following equation:

Weight (lbs) = (Height (ft) * Length (ft) * 0.052 lbs/ft3) * Fluid Density (ppg)

In your scenario, the Height is 10700 ft - 7000 ft = 3700 ft, the Length is 10700 ft, and the Fluid Density is 9.6 ppg.

Therefore, the Weight of the submerged portion of the tubing is:

Weight (lbs) = (3700 ft * 10700 ft * 0.052 lbs/ft3) * 9.6 ppg

Weight (lbs) = 10967 lbs

Now that you know the weight of the submerged portion of the tubing, you can calculate the Buoyant Force by subtracting the Weight of the submerged portion of the tubing from the Weight of the total Height of the tubing. This can be done using the following equation:

Buoyant Force (lbs) = (Height (ft) * Length (ft) * 0.052 lbs/ft3) * Fluid Density (ppg) - Weight (lbs)

Therefore, the Buoyant Force that will be applied to the string of tubing when it

The measure of distance RS, if The sides QU = 140 m, US = 115 m, TU = 104.55 m, rounding to the nearest hundredth of a meter, is 200 m.

Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.

Given:

The sides QU = 140 m, US = 115 m, TU = 104.55 m

As you can see, the triangle QRS and triangle QTU are similar, thus the ratio of their sides will be equal,

QU / QS = TU / RS

140 / 140 + 115 = 104.55 / RS

140 / 255 = 104.55 \ RS

RS = 104.55 × 255 / 140

RS = 190.43 or 200 m

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Answer: 190.43m

Step-by-step explanation:

In Photo