PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

The area of the region enclosed by the curve is 25πThe correct answer is option a) 25π.

To find the area of the region enclosed by the curve r = cos(θ), we use the formula:

A = (1/2) ∫θ2θ1 [r(θ)]² dθ

where θ1 and θ2 are the limits of integration that correspond to the region, and r(θ) is the polar function that defines the boundary of the region.

In this case, the region is enclosed by the curve r = cos(θ), which represents a circle with radius 1/2 centered at (1/2,0). The region extends from θ = 0 to θ = π.

Thus, the area of the region is:

A = (1/2) ∫0π [cos(θ)]² dθ

Using the identity cos²(θ) = (1 + cos(2θ))/2, we can simplify the integral:

A = (1/2) ∫0π (1/2)(1 + cos(2θ)) dθ

= (1/4) ∫0π (1 + cos(2θ)) dθ

= (1/4) [θ + (1/2) sin(2θ)]0π

= (1/4) [(π/2) - 0]

= π/8

Therefore, the correct answer is option a) 25π.

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Find the area of the region specified in polar coordinates, which is enclosed by the curve r = cos(θ).

a. 25π

b. 100π

c. 50π

d. 100/3π

Answer:

B. y = 58

Step-by-step explanation:

b) y=58 you follow the instructions

...............................................................................................................................................

The given quadratic function is      

y= 2x^2 - 2x - 2

We have to find the value of the function y at x=6.

Substitute x=6 in the given function.      

y= 2(6)^2 - 2(6) - 2

y= 2(36) - 12 - 2

y= 72 - 14

y= 58

The value of the function is 58 at x=6 is 58.

Therefore the correct option is B.

Answer:

Middle bar

Step-by-step explanation:

6 + 4 = 10

10 + 5 = 15

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the given equation some information is missing, that is Loans "A and B".

Formula:

\(\bold{Total \ Payback = \ Montly \ instalment \times \ Number \ of \ Instalments} \\\\\)

calculating total amount of Loan A:

\(= $754.02 \times 72\\\\= 54289.44\)

calculating total amount of Loan B:

\(= $918.31 \times 60\\\\= 55098.6\)

Calculate loan A:

\(\bold{ \ Int = \ Total\ Payment - \ Loan}\\\\\)

      \(= $ 54289.44 - $ 47500\\\\= $ 6789.44\)

Calculate loan B:

\(\bold{ \ Int = \ Total\ Payment - \ Loan}\\\\\)

      \(= $ 55098.60 - $ 47500\\\\= $ 7598.60\)

The Additional  value of the Int in loan B:

\(\bold{= \ Int \ in \ loan \ B - \ Int \ in \ loan \ A}\)

\(= 7598.6 - 6789.44\\\\= 809.16\)

Answer:

10.1m

Step-by-step explanation:

Add all the given sides and subtract the answer from the perimeter i.e 69.2

Answer: I believe it's A

Hope this helped

The polynomial function whose graph passes through (7,11) (11,-12) and (0,4) will be y = -0.614x² + 5.295x + 4.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Assume the polynomial function is quadratic. Then the equation is given as,

y = ax² + bx + c

At (0, 4), we have

4 = a(0)² + b(0) + c

c = 4

Then the equation is written as,

y = ax² + bx + 4

At (7, 11), we have

y = ax² + bx + 4

11 = 49a + 7b + 4             ...1

At (11, -12), we have

- 12 = 121a + 11b + 4        ...2

Equations 1 and 2 are solved by a calculator. Then we have

a = - 0.614 and b = 5.295

The polynomial capability whose diagram goes through (7,11) (11,- 12) and (0,4) will be y = - 0.614x² + 5.295x + 4.

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Bob had 50 pencils in the beginning.

A fractional number is expressed in the form -

x/y    {where y ≠ 0)

Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.

Assume that he had {x} pencils in the beginning. We can write -

4x/5 + 2/3(x - 4x/5) = 10

4x/5 + 2x/3 - 8x/15 = 10

x(4/5 + 2/3 - 8/15) = 10

x = 10/0.93

x = 50

Therefore, Bob had 50 pencils in the beginning.

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{QUESTION IN ENGLISH -

Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}

Answer:its 1.2

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

took the quiz in edg

The shading is correct for each of the three problems. Nice work.

==========================================

Problem 13

Word form = one tenth

Decimal form = 0.1

Explanation: The 1 is in the tenths place for the decimal value 0.1 to represent the fraction 1/10.

==========================================

Problem 14

Word form = eighty-five hundredths

Decimal form = 0.85

Explanation: The 8 is in the tenths place, and the 5 is in the hundredths place. Overall, 0.85 represents 85 out of 100, aka 85/100.

==========================================

Problem 15

Word form = thirty-nine thousandths

Decimal form = 0.039

Explanation: The second zero is in the tenths place. The 3 is in the hundredths place. The 9 is in the thousandths place. The decimal represents 39/1000 which you can think of it as 039/1000.

The rent option will cost 120 more dollars than the outright cost of the computer .

The outright cost of the computer is $864.

The store also offers a rent to own option which will cost $41 per week for 24 weeks.

Therefore, the total cost for the rent option is as follows:

cost of the computer for rent option = 41 × 24

cost of the computer for rent option = 984 dollars

Therefore,

difference in cost = 984  - 864

difference in cost = 120 dollars

Therefore, the rent option will cost 120 more dollars than the outright cost of the computer.

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A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

Answer: x=16

Step-by-step explanation:

This problem can be solved by using proportions. We can see the figure as 2 triangles. One is ΔAED and another is ΔACB.

\(\frac{x}{8} =\frac{x+6}{11}\)                          [cross multiply]

\(11x=8(x+6)\)                [distribute]

\(11x=8x+48\)                 [subtract both sides by 8x]

\(3x=48\)                           [divide both sides by 3]

\(x=16\)

We know that x=16.

The rock will be at a height of 125 feet after 0.49 and 4.76 seconds.

In the given problem we have a function h(t) that represents the height of the rock that is from the ground of the beach where the variable represents the time travel by the rock.

Assume t as required time equates the given function to the given height and solve for the value of 't'.

Here we have

A rock is thrown directly upward with an initial velocity of 79 feet per second from a cliff 50 feet above a beach.

The height of the rock above the beach (h) after t seconds is given by the equation h(t) = -16t² + 79t + 50.  

Let after t seconds the height will be 125 feet

=> h(t) = 125  

=>  -16t² + 79t + 50 = 125

=> -16t² + 79t - 75 = 0

To solve this quadratic equation, we can use the quadratic formula:

=> x = [-b ± √(b² - 4ac)]/ 2a

Here a = -16, b = 79, and c = -75.  

t = [-79 ± √(79² - 4(-16)(-75))] / 2(-16)

t = (-79 ± √(6241 - 4800)) / -32

t = (-79 ± √1441) / -32

So, the two solutions are:

t = (-79 + √1441) / -32 and   t = (-79 - √1441) / -32

t ≈ 0.497 or t ≈ 4.763

Therefore,

The rock will be at a height of 125 feet after 0.49 and 4.76 seconds  

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Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

hlo!! dear!! glad to help u!

2x – 15 – 7x + 24 = -36​

2x -7x -15 +24= -36

-5 x + 9= -36

-5 x = -36-9

-5 x =-45

x = -45/-5

x = 8

thank u!!!

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

Answer:

All points satisfy the inequality

Step-by-step explanation:

Given

\(5x + 2y \le 26\)

Required

Select all points that satisfy the above inequality

\((a)\ (0,5)\)

This implies that

\(x = 0; y = 5\)

So, we have:

\(5x + 2y \le 26\)

\(5 * 0 + 2 * 5 \le 26\)

\(0 + 10 \le 26\)

\(10 \le 26\)

This satisfy the inequality

\((b)\ (3,1)\)

This implies that

\(x = 3;\ y =1\)

So, we have:

\(5x + 2y \le 26\)

\(5 * 3 + 2 * 1 \le 26\)

\(15 + 2 \le 26\)

\(17 \le 26\)

This satisfy the inequality

\((c)\ (3,-4)\)

This implies that:

\(x = 3; y-4\)

So, we have:

\(5x + 2y \le 26\)

\(5 * 3 + 2 * -4 \le 26\)

\(15 -8 \le 26\)

\(7 \le 26\)

This satisfy the inequality

\((d)\ (-4,1)\)

This implies that:

\(x = -4; y =1\)

So, we have:

\(5x + 2y \le 26\)

\(5 * -4 + 2 *1 \le 26\)

\(-20 + 2 \le 26\)

\(-18 \le 26\)

This satisfy the inequality

Tara would be required to repay the debt in 90.42 days, or roughly 90 days and 10 hours.

The simple interest is calculated as,

Simple interest = Principal x Rate x Time

Where the loan's principal, interest rate, and term are represented by the variables principal, rate, and time, respectively.

In this case, the maturity value, which includes the principal and interest, is $2,572.92 and the principal is $2,500. The rate is 8.75%. Let's begin by computing the interest on the loan:-

Interest = Maturity value - Principal

Interest = $2,572.92 - $2,500

Interest = $72.92

Calculate the interest below,

Interest = Principal x Rate x Time / 365

$72.92 = $2,500 x 0.0875 x Time / 365

$72.92 x 365 = $2,500 x 0.0875 x Time

Time = $72.92 x 365 / ($2,500 x 0.0875)

Time = 90.42 days

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Answer:

mode=92

Step-by-step explanation:

Solution

no of data=9(odd)

mode= n+1/2

= 9+1/2

=10/2

=5th position

mode= 92

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Answer:

7 1/2 miles

Step-by-step explanation:

Answer:

Given y = 0,

\(\sf 4(6y+1)\\4(6* 0+1)\\(6 * 0 + 1)\\(6 * 0)\\= 0\\= 0 + 1\\= 1\\= 1 * 4\\= 4\)

Thus, the answer is 4.

Answer:

1/27 units cubed or 0.037037... units cubed

Step-by-step explanation:

Volume of a cube = s*s*s : Where s is a side length.

The volume of the first cube is 1 cubed, which means that each side length is 1. (s=1)

The volume of the second cube in relation to the first cube can be found by multiplying each side length by 1/3.

Volume of second cube= (1/3s)(1/3s)(1/3)s

Volume of second cube= (1/3)(1/3)(1/3)

Volume of second cube= 1/27

Answer:

There are four (4) different terms

Step-by-step explanation:

Given;

2x + 3xy - (x + y) + 2

The terms are simplified as follows;

=2x + 3xy - (x + y) + 2

= 2x + 3xy - x - y + 2

collect like terms;

= 2x - x  - y + 3xy + 2

= x - y + 3xy  + 2

Thus, there are four (4) different terms in the simplified expression.

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

It will take Cromwell approximately 22.2 / 2 = 11.1 years to pay for the land.

We can use the formula for the present value of an annuity to find the number of years it will take Cromwell to pay for the land. The formula is:

\(PV = PMT * [(1 - (1 + r)^{(-n)}) / r]\)

where PV is the present value (in this case, 1,750,000), PMT is the payment amount (100,000), r is the interest rate per period (6.35% / 2 = 0.03175), and n is the total number of periods (in this case, twice the number of years since there are two semiannual payments per year).

Substituting in the values, we get:

1,750,000 = \(100,000 * [(1 - (1 + 0.03175)^{(-2n)}) / 0.03175]\)

Simplifying and solving for n, we get:

\((1 - (1 + 0.03175)^{(-2n} ) / 0.03175 = 17.5\\1 - (1 + 0.03175)^{(-2n)} = 0.03175 * 17.5\\(1 + 0.03175)^{(-2n)} = 0.933\)

Taking the natural logarithm of both sides, we get:

\(-2n * ln(1.03175) = ln(0.933)\\n = ln(0.933) / (-2 * ln(1.03175))\\n ≈ 22.2\)

Therefore, it will take Cromwell approximately 22.2 / 2 = 11.1 years to pay for the land.

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The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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