For the regions bounded by y = 6cosx and y = one fourth x squared minus 7.

Part A: Find the limits of integration. (10 points)

Part B: Write the expression representing the total area. (10 points)

Part C: Solve for the total area. (10 points)

Answer:

Step-by-step explanation:

Write the number as [tex]abc[/tex] and use the divisibility rules for 10 and 3. From the rule for 10, we know that the last digit of [tex]abc+cba[/tex] is [tex]o[/tex], hence [tex]a+c=10[/tex]. Thus the options are [tex]a=1[/tex] & [tex]c=9[/tex], [tex]a=2[/tex], & [tex]c=8[/tex], etc.

From the rule for 3, namely that the digit sum must be divisible by 3, we find that [tex]2a+2b+2c=20+2b[/tex]  is divisible by [tex]3[/tex]. By hand it's easy to check that [tex]b=2,5,8[/tex] are the only options that work.

So there are 9 choices for [tex]a[/tex] and [tex]c[/tex] and [tex]3[/tex] for [tex]b[/tex] , giving 27 total.

Answer:

jxdhjsssdddddsssssdd

Answer:

increasing

Step-by-step explanation:

look left to right, line goes up

Answer:

1) 8x/2x = 4

2) 2y/4y = 1/2

3) (4 x 1/2 x 3) = 6

4) /2

solutions= 6/2=3

Answer:

30.5 cm^2

Step-by-step explanation:

Recall the formula for the area of a circle: [tex]A_{circle}=\pi r^2[/tex] where [tex]\pi \approx 3.14[/tex], and "r" is the radius of the circle (distance from center to any point on the edge).

From the diagram, the radius is 5cm.

[tex]A_{circle}=\pi r^2[/tex]

[tex]A_{circle}=(3.14)(5[cm])^2[/tex]

[tex]A_{circle}=78.5[cm^2][/tex]

Recall the formula for the area of a rectangle: [tex]A_{rectangle}=bh[/tex] where "b" is the base of the rectangle (length of bottom or length of top), "h" is the height of the rectangle (distance from bottom to top).

From the diagram, the base is 8cm, and the height is 6cm.

[tex]A_{rectangle}=bh[/tex]

[tex]A_{rectangle}=(8[cm])(6[cm])[/tex]

[tex]A_{rectangle}=48[cm^2][/tex]

Having found the areas for each of the first parts, we can find the difference to find the shaded area:

[tex]A_{shaded}=A_{circle}-A_{rectangle}[/tex]

[tex]A_{shaded}=(78.5[cm^2])-(48[cm^2])[/tex]

[tex]A_{shaded}=30.5[cm^2][/tex]

Answer:

It makes sense for Phil to sell his products online.

Step-by-step explanation:

Answer:

56x² + 8x

(second option listed)

Step-by-step explanation:

area: length × width

length: 7x + 1

width: 8x

(8x)(7x + 1)

{distribute 8x}:

(8x)(7x):  8x × 7x = 8 · 7 · x · x = 56 · x · x = 56x²

(8x)(1) = 8x

area = 56x² + 8x

so, the area of this rectangle is 56x² + 8x

Answer:

56x² + 8x

[answer B]

Answer:

22

Step-by-step explanation:

Is easy just multiple

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's Solve ~

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} + 20x + 25[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 5) (2x + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 5) {}^{2} [/tex]

or

[tex] \sf{\qquad \sf  \dashrightarrow \: 4x² + 20x + 25 } [/tex]

[tex] \sf{\qquad \sf  \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²} [/tex]

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

[tex] \sf{\qquad \sf  \dashrightarrow \: (2x + 5)²} [/tex]

I hope it was helpful ~

Answer:

x = -1/2 = -0.5

Step-by-step explanation:

4.5x + 9 -1/2x = -3.75 +5 1/2 + 5.25

⇔ (4 1/2 - 1/2)x + 9 = (5 1/2 + 5 1/4) - 3 3/4

⇔ 4x + 9 = 10 3/4  - 3 3/4

⇔ 4x + 9 = 10 - 3

⇔ 4x + 9 = 7

⇔ 4x = 7 - 9

⇔ 4x = -2

⇔ x = -2/4

⇔ x = -1/2

⇔ x = -0.5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Comment

An x intercept occurs when y = 0. So the table shows three of them.

Answer

There are 3 x values when y = 0. They are

Answer: A. [tex](-1, 0)[/tex]

Step-by-step explanation:

The x-intercept is every point where y=0. To see this, we should look at the table's f(x) section to find any zeroes.

According to the table and this knowledge, one x-intercept of this continuous function is [tex](-1, 0)[/tex].

I hope this helps! Pls mark brainliest!! :)

Answer:

[tex] f(-4) = \dfrac{1}{9} [/tex]

Step-by-step explanation:

[tex] f(x) = 9(3)^x [/tex]

[tex] f(-4) = 9(3)^{-4} [/tex]

[tex] f(-4) = 3^2 \cdot 3^{-4} [/tex]

[tex] f(-4) = 3^{-2} [/tex]

[tex] f(-4) = \dfrac{1}{9} [/tex]

Answer:

1/9

-------------

Using the combination and the arrangements formula, it is found that the number of possible playlists is given by:

[tex]7.98 \times 10^8[/tex]

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, we have that:

Hence, without considering the order, the number of playlists is given by:

[tex]C_{7,7}C_{12,3} = \frac{7!}{7!0!} \times \frac{12!}{3!9!} = 220[/tex]

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, the 10 musics are arranged, hence the number of playlists, considering the order, is given by:

[tex]n = 10! \times 220 = 798336000 = 7.98 \times 10^8[/tex]

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Answer:

15 degrees

Step-by-step explanation:

Answer:

The earth turns 15 degrees in one hour. Hope this helps!

Step-by-step explanation:

The probability of getting two correct answers will be 0.0625.

The probability of getting two correct answers will be:

Probability of getting the correct answer will be:

= 1/4 = 0.25

The probability of getting two correct answers will be:

= 0.25 × 0.25

= 0.0625

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Answer:

0 and -6

(0,-6)

Step-by-step explanation:

Can't really explain, but this is a guess on the actual question.

Answer:

Area of Floor = 21.6.m²

Area of tile = 288 cm² = 0.0288 m²

No. of tiles = Area of floor/ area of tile

= 21.6/0.0288

= 750

The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

An equation is an expression that shows the relationship between two or more variables and numbers.

In polar form:

r = √(x² + y²) and cosФ = x / √(x² + y²)

Hence:

r(1 - 2cosФ) = 1

√(x² + y²) [1 - 2(x / √(x² + y²))] = 1

√(x² + y²) - 2x = 1

Take square of both sides:

x² + y² - 4x√(x² + y²)  + 4x² = 1

The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

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The associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a number expression:

= 3 + ((-5) + 6) = (3 + (-5)) + 6

As we know in the associative property:

a + (b + c) = (a + b) + c

= (3 + (-5)) + 6

Thus, the associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

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The value of e:g is 2:7.

A ratio indicates how many times one number contains another.

Given:

e:f=3:7

f:g=2:3

Now take LCM of 2 and 7 i.e., 14.

e/f= 3/7= 3*2/7*2= 6/14

and, f/g= 2/3= 2*7/3*7= 14/21

So,

e/g= e/f *f /g

     = 6/14*14/21

     = 6/21

e:g = 2:7

Hence, the value of e:g is 2:7.

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5.9

Step-by-step explanation:

345√ is 18.6=3.14*r2 cuz formula

Is πr2

Since [tex]x^2 + x + 1 = 0[/tex] means [tex]x^2+x = -1[/tex], we have for any [tex]n[/tex] the recursive relation

[tex]x^n (x^2 + x) = x^{n+2} + x^{n+1} = -x^n \implies x^{n+2} = -x^{n+1} - x^n[/tex]

Let [tex]f(x)=x^{2015}+x^{2013}+x[/tex]. Substitution using the recursive rule generates an alternating power-reduction pattern:

[tex]f(x) = \left(-x^{2014} - x^{2013}\right) + x^{2013} + x = -x^{2014} + x[/tex]

[tex]f(x) = -\left(-x^{2013} - x^{2012}\right) + x = x^{2013} + x^{2012} + x[/tex]

[tex]f(x) = \left(-x^{2012} - x^{2011}\right) + x^{2012} + x = -x^{2011} + x[/tex]

[tex]f(x) = -\left(-x^{2010} - x^{2009}\right) + x = x^{2010} + x^{2009} + x[/tex]

[tex]f(x) = \left(-x^{2009} - x^{2008}\right) + x^{2009} + x = -x^{2008} + x[/tex]

[tex]f(x) = -\left(-x^{2007} - x^{2006}\right) + x = x^{2007} + x^{2006} + x[/tex]

and so on.

Notice that in the equivalent forms of [tex]f(x)[/tex] involving 3 terms, the largest power of [tex]x[/tex] is a multiple of 3, and the next largest power is 1 less. This means after so many iterations of substitutions, we would end up with

[tex]f(x) = x^3 + x^2 + x[/tex]

Then by factorizing, the expression of interest reduces to

[tex]f(x) = x (x^2 + x + 1) = x \times 0 = \boxed{0}[/tex]

By using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.

The factorization by using the Remainder theorem.

x - 5 )   x³ – 5x² + 7x – 35.( x ² + 7

             x³  -  5x²

             ______________

                00         7x - 35

                             7x - 35

              -------------------------

                                     00

Here the function is completely divided by the factor x - 5 therefore

by using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

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Step-by-step explanation:

there must be no confusion just put x= 0 u get y=0.5 which is true according to graph and also put x=2 you get y = 1.5 which is again satisfy by the graph so it is 1/2x+0.5

Answer:

y = 1/2 x + 1/2

Step-by-step explanation:

I think your answer is not wrong but if the math program won't accept it, check these two things:

Make sure the x is beside the 1/2 and is not interpreting it as the x on the bottom with the 2 which is wrong.

Also, usually we don't put a mix of decimals and fractions. So change that .5 to a 1/2. I know what you have is equivalent, but just the norms dictate how to write it. Maybe it is just some tiny detail as these two details. Please don't be confused, you aren't wrong.

The profit is the amount left from you net income after your fixed expenses have been paid.

The amount earned by an individual or corporation after costs, allowances, and taxes is referred to as net income. Net income in company is what remains after all costs, such as salaries and wages, the cost of goods or raw materials, and taxes, have been paid.

Profit is a financial gain, specifically the sum obtained over that which was used to acquire, maintain, or produce the good or service.

Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.

Hence the profit is the amount left from you net income after your fixed expenses have been paid.

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Answer:

95%

Step-by-step explanation:

5 player won, meaning 95 player didn't.

This means that 95% of the players didn't win.

Answer:

C

Step-by-step explanation:

you are multiplying so it is the product of the three

2 ( ...  )    ( ... )

and you must solve the brackets first so C and not D

Answer:

Step-by-step explanation:

Givens

x intercept =

The vertex is at 3, 4

The vertex is upside down.

Solution

(x - 1) and (x - 5) produce the two roots.

There must be 1 minus somewhere so that the quadratic goes upside down.

Answer

y = - (x -1)(x - 5)

B) 15 hours, 34 minutes

2:12 + 15 hours = 5:12 A.M

5:12 + 34 minutes = 5:46 A.M