Please help me out with this

Please Help Me Out With This

Answers

Answer 1

Answer:

48.3 cm²

Step-by-step explanation:

The area (A) of the yellow region = area of square - area of quarter circle, that is

A = 15² - ([tex]\frac{1}{4}[/tex] πr² )

  = 225 -( [tex]\frac{1}{4}[/tex] × π × 15² )

  = 225 - 176.71 ≈ 48.3


Related Questions

St. Louis, Missouri and Washington, D.C. Have very similar latitudes. (Latitude measures how far north or south a place is, which in turn affects the temperature.) The box plots below show the daily high temperatures (in degrees Celsius) that were recorded during July 201320132013 in each city. Which pieces of information can be gathered from these box plots?

Answers

Answer:

The Answer is multiple choice and the answer is B. Only B.

Step-by-step explanation:

The Answer is multiple choice and the answer is B.

We have given that,

St. Louis, Missouri, and Washington, D.C.

Have very similar latitudes. (Latitude measures how far north or south a place is, which in turn affects the temperature.)

What is the latitudes?

The latitude is specified by degrees, starting from and ending up with 90° to both sides of the equator, making latitudes Northern and Southern.

The box plots below show the daily high temperatures (in degrees Celsius) that were recorded during July 201320132013 in each city.

The pieces of the information that can be gathered from these box plots are option is B.

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Please help me!

1. Joshua has a ladder that is 17ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 16.5ftabove the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height? Show your work.

make sure you show your work.

Answers

Answer:

not safe

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between an angle and the ratio of side opposite to hypotenuse:

Sin = Opposite/Hypotenuse

You have the ratio of lengths and you want to find the angle. You use the inverse sine function (arcsin, or sin⁻¹) for this purpose.

sin(angle with ground) = (16.5 ft)/(17 ft) = 33/34

angle with ground = arcsin(33/34) ≈ 76.1°

This angle is greater than the angle of 70° recommended as a maximum. The ladder will not be safe at this height.

_____

A calculator does all the work. You just need to make sure it is in degrees mode.

Is this shaded below or above the line?

Answers

Answer:

  below the line

Step-by-step explanation:

The "shading" is the blue/purple color. The graph is shaded below the line y=-2x+6, as it should be when y is less than or equal to -2x + 6.

(Values of y get smaller in the downward direction, to for any given value, ones that are less than that will be below it.)

Find the area of the quadrilateral QRST by using the formula for the area of a kite. HELP PLEASE!!!!

A. 15 units^2
B. 10 units ^2
C. 16 units ^2
D. 5 units ^2

Answers

ANSWER

A. 15 units^2

EXPLANATION

The area of kite is half the product of the diagonals.

The first diagonal has vertices at,

T(0,0) and R(5,5).

The length of this diagonal is

[tex]TR = \sqrt{ {5}^{2} + {5}^{2} } [/tex]

[tex]TR = \sqrt{25 + 25} [/tex]

[tex]TR = \sqrt{50} =5 \sqrt{2} [/tex]

The other diagonal has vertices at;

Q(0,3) and S(3,0).

The length of this diagonal is

[tex]QS = \sqrt{ {3}^{2} + {3}^{2} } [/tex]

[tex]QS = \sqrt{ 9+ 9 } [/tex]

[tex]QS = \sqrt{18} = 3 \sqrt{2} [/tex]

The area of the kite is

[tex] = \frac{1}{2} \times 3 \sqrt{2} \times 5 \sqrt{2} [/tex]

[tex] = 15 \: {units}^{2} [/tex]

What is the solution for the equation 2x - 3 = - 8

Answers

2x - 3 = -8

    +3     + 3

2x = -5

/2    /2

x = -2.5 (Answer)

Prove.

2(-2.5) - 3 = -8

-5 - 3 = -8

-8 = -8

True.

Answer:

Answer -2.5

Step-by-step explanation:

Simple:

2x-3=-8

   +3  +3,  Add 3  on both sides of the equal sign.

2x = -5, Bring the 2x down and add the -8 + 3

2        2,  Divide by 2

x= -2.5

Hope my answer has helped you!

(8-9)-(9+3)*5
5+(5+5+6)+9
(5/3-3)
2*3+(4*2)/2

Answers

Answer:

If you need any further help, feel free to let me know

Step-by-step explanation:

The answers are

(8-9)-(9+3)*5=-61

5+(5+5+6)+9=30

(5/3-3)= -4 over 3 or -4/3 or -1.3 or -1 1/3 depends on what your choices are but all those are correct

2*3+(4*2)/2=10

What is the slope of the line containing ( -3, 1 ) and (1 ,-2)

Answers

Answer:

D

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (1, - 2)

m = [tex]\frac{-2-1}{1+3}[/tex] = [tex]\frac{-3}{4}[/tex] = - [tex]\frac{3}{4}[/tex]

The slope of the line containing points  (-3, 1) and (1 ,-2) is Option (D) -3/4

What is slope of a straight line -

The slope of a straight line gives the measure of its steepness and direction. It represents how steep a line can be.

How to find the slope of a straight line from two points given ?

The slope (m) of a straight line from two given points can be found by the formula,

Slope = m = (y2 - y1)/(x2 - x1)

where x1,x2 are the respective x-coordinates of the given points.

and y1,y2 are the respective y-coordinates of the given points .

By the problem, x1 = -3 , x2 = 1 , y1 = 1 , y2 = -2

Slope, m = (-2 -1)/(1 - (-3)) = -3/4

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Staci has seven more cats then taylor.Write and expression that illustrates how many cats staci has. Use x to represent the number of cats taylor has.

Answers

The expression x + 7 will determine how many cats Staci has.

Since Staci has 7 more cats than Taylor (x), we know the expression uses addition.

NEED HELP PLEASE WITH THIS QUESTION

Answers

Answer: Option D

D. [tex]\frac{3n^{3}}{5m^{2}}[/tex]

Step-by-step explanation:

Use the following property of the exponents to simplify the expression.

We know that:

[tex]a^{-x}=\frac{1}{a^x}[/tex]

So for the expression

[tex]\frac{3m^{-2}}{5n^{-3}}[/tex]

Using the aforementioned property we have that:

[tex]\frac{3m^{-2}}{5n^{-3}}= \frac{3*\frac{1}{m^2}}{5*\frac{1}{n^3}}\\\\\\\frac{3*\frac{1}{m^2}}{5*\frac{1}{n^3}}=\frac{3n^{3}}{5m^{2}}[/tex]

Finally the answer is the option D

Answer:

The correct answer is option D

3n³/5m²

Step-by-step explanation:

Points to remember

Identities

Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾

X⁻ᵃ = 1/Xᵃ

Xᵃ/Xᵇ = X⁽ᵃ ⁻ ᵇ⁾

To find the correct answer  

It is given that,

3m⁻²/5n⁻³

By using identities we can write,

m⁻² = 1/m²  and 1/n⁻³ = n³

3m⁻²/5n⁻³ = 3n³/5m²

Therefore the correct answer is option D.  3n³/5m²

The radius of a sphere is 3 inches. Which represents the volume of the sphere? O 12TT cubic inches O 36TT cubic inches O 64Tt cubic inches O 81Tt cubic inches

Answers

Answer:

36π cubic inches

Step-by-step explanation:

The formula for the volume of a sphere is ...

V = (4/3)πr^3

Fill in the given value and simplify:

V = (4/3)π(3 in)^3 = 36π in^3

NEED ANSWER ASAP!


Which of the following represents the graph of f(x) = 2x + 3? (6 points)


Answers

The graph of f(x) = [tex]2^{x+3}[/tex] is option "B" .

What is exponential function?

An exponential function is a mathematical function of the following form:

f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

According to the question

Represents the graph of f(x) = [tex]2^{x+3}[/tex]

f(x) = [tex]2^{x+3}[/tex] is a  exponential function

To draw the graph of f(x) = [tex]2^{x+3}[/tex]

The values will be

x                  f(x)

0                   8

1                   16

-1                   4

-2                  2

-3                  0

Hence, the graph of f(x) = [tex]2^{x+3}[/tex] is option "B" .

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The graph of the function represented by the equation f(x) = 2ˣ + 3 is (c)

How to determine the graph of the function

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

The function

Where, we have

f(x) = 2ˣ + 3

The above function is an exponential function that has been transformed as follows

Asymptote at y = 3Function increases as x increases

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

The graph of the function is (c)

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Geometry assistance needed, thank so much

Answers

Answer:

7√2 / 2

Step-by-step explanation:

An isosceles right triangle is also known as a 45-45-90 triangle.  For such a triangle, the hypotenuse (long side) is √2 the legs.

s√2 = 7

s = 7/√2

s = 7√2 / 2

You can also show this with Pythagorean theorem.

Please help me out with this

Answers

Answer:

54°

Step-by-step explanation:

y is an inscribed angle.  That means that it is half the measure of the arc it intercepts.  The arc it intercepts is 108, so the angle is 54°

Check the picture below.

Shelly guesses on 5 multiple choice test questions in a row. If each question has 3 possible answers, what is the probability that Shelly will guess the 6th question correctly?

Answers

Answer:

1/3

Step-by-step explanation:

This question is an application of binomial distribution model. If we consider each question as an independent trial, then for each trial there are two possible outcomes, success or failure. Success in the sense that she guesses the question correctly, and failure if the guess is wrong. Now, for each trial or question the probability of success is;

1/3

This is because each question has 3 possible answers and only 1 of them is correct.

Now if Shelly guesses on 5 multiple choice test questions in a row, the probability that she will guess the 6th question correctly is still 1/3. This is because the questions represent independent trials and the probability of success is constant in each trial just like in tossing a coin.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The probability isn't affected by what she guesses on the previous questions.

So basically the question is "what is the probability that Shelly will answer correctly on any one question?"

There are 3 answer choices and 1 is correct, so the probability of getting a correct answer is 1 out of 3, or, 1/3.

If the ratio between the radii of the two sphere is 3:5, what is the ratio of their volumes?

A. 3:25
B. 6:25
C. 9:25
D. 27:125

Answers

Answer: Option D

Step-by-step explanation:

You know that the ratio between the radii of the two sphere is 3:5. Knowing this fact, you can calculate the ratio of their volume with this procedure:

[tex]ratio\ volume=\frac{3^3}{5^3}[/tex]

You need to remember that:

[tex]a^3=a*a*a[/tex]

 Then, you can rewrite it as:

[tex]ratio\ volume=\frac{3*3*3}{5*5*5}[/tex]

Finally, you get the the ratio of the volumes of the spheres is:

[tex]ratio\ volume=\frac{27}{125}[/tex] or 27:125

This matches with the option D.

Answer:

The ratio of their volumes is 27 : 125

Step-by-step explanation:

Points to remember

Volume of sphere V = 4/3(πr³)

Where r is the radius of sphere

To find the ratio of volume of spheres

It is given that,  the ratio between the radii of the two sphere is 3:5

V₁ =  4/3(πr₁³)  =  4/3(π3³) and

V₂ =  4/3(πr₂³) =  4/3(π5³)

V₁/V₂ = 4/3(π3³)/4/3(π5³)

 = 3³/5³ = 27/125

Therefore  the ratio of their volumes = 27 : 125

ALOT OF PONTS!!! HELPPP!!! Hi, I would greatly appreciate help with this. I have no idea how to do it.

A marble company has hired you as their new production manager. Your job is to choose the form of packaging for a new product from the five choices below. The package must hold at least 400 cubic inches. The cost of the cardboard for the packaging is $0.02 per square inch.

You should include the volume, total surface area, and materials cost for each solid given below, including the formulas you used and each step of your work. Make sure to use the formulas given in your lessons and round your answers to the nearest hundredth.

Solid 1 (rectangle):

Solid 2 (pyramid):

Solid 3 (cylinder):

Solid 4 (cone):

Solid 5 (sphere):


Write a paragraph that answers the following questions:
• Do all of the solids hold at least 400 cubic inches?
• Which solid is the most cost efficient (the packaging with the smallest materials cost that holds at least 400 cubic inches)?
• Would the most cost efficient solid work well for packaging? Why or why not?
• Which solid would you recommend using? Why?

Answers

Answer:

Logically, the answer is the sphere, as it is the figure which gives maximum volume for the same total surface area. But I'll just solve them like you want it.

I'm just writing the numerical values without the units.Please resolve

Solid 1: Square Prism with each side of the base equal to 8 in. and a height of 8 in.

Volume = 8^3 = 512

Area = 8^2 * 6 = 384

V/A Ratio = 1.33 (We need the highest ratio, that's why they hired us)

Cost = $7.68

Solid 2: Square Pyramid with each side of the base equal to 10 in. and a height of 15 in.

Volume = 1/3 * 10^2 * 15 = 500

Slant height = [(10/2)^2 + 15^2]^(1/2) = root of 250 = 15.81

Area = 2*10*15.81 + 10^2 = 416.23

V/A Ratio = 1.20

Cost = $8.34

Solid 3: Cylinder with a radius of 4 in. and a height of 10 in.

Volume = pi*4*4*10 = 502.65

Area = 2*pi*4*4 + 2*pi*4*10 = 351.86

V/A Ratio = 1.43

Cost = $7.04

Solid 4: Cone with a radius of 7 in. and a height of 10 in.

Volume = (1/3)*pi*7*7*10 = 513.13

Slant height = [(7^2)+(10^2)]^(1/2) = 12.21

Area = pi*7*12.21 + pi*7*7 = 422.37

V/A Ratio = 1.21

Cost = $8.45

Solid 5: Sphere with a radius of 5 in.

Volume = (4/3)*pi*(5^3) = 523.60

Area = 4*pi*(r^2) = 314.16

V/A Ratio = 1.67

Cost = $6.28

Hence, Solid 5 must be the packaging model opted for

Step-by-step explanation:

Logically, the answer is the sphere, as it is the figure which gives maximum volume for the same total surface area. But I'll just solve them like you want it.

I'm just writing the numerical values without the units.Please resolve

Solid 1: Square Prism with each side of the base equal to 8 in. and a height of 8 in.

Volume = 8^3 = 512

Area = 8^2 * 6 = 384

V/A Ratio = 1.33 (We need the highest ratio, that's why they hired us)

Cost = $7.68

Solid 2: Square Pyramid with each side of the base equal to 10 in. and a height of 15 in.

Volume = 1/3 * 10^2 * 15 = 500

Slant height = [(10/2)^2 + 15^2]^(1/2) = root of 250 = 15.81

Area = 2*10*15.81 + 10^2 = 416.23

V/A Ratio = 1.20

Cost = $8.34

Solid 3: Cylinder with a radius of 4 in. and a height of 10 in.

Volume = pi*4*4*10 = 502.65

Area = 2*pi*4*4 + 2*pi*4*10 = 351.86

V/A Ratio = 1.43

Cost = $7.04

Solid 4: Cone with a radius of 7 in. and a height of 10 in.

Volume = (1/3)*pi*7*7*10 = 513.13

Slant height = [(7^2)+(10^2)]^(1/2) = 12.21

Area = pi*7*12.21 + pi*7*7 = 422.37

V/A Ratio = 1.21

Cost = $8.45

Solid 5: Sphere with a radius of 5 in.

Volume = (4/3)*pi*(5^3) = 523.60

Area = 4*pi*(r^2) = 314.16

V/A Ratio = 1.67

Cost = $6.28

Hence, Solid 5 must be the packaging model opted for

Jean throws a ball with an initial velocity of 64 feet per second from a height of 3 feet. Write an equation and answer the questions below. Show all your work for full credit. Use the correct units with your answers

Answers

a. What is your equation?

This is a problem of projectile motion. A projectile is an object you throw with an initial velocity and whose trajectory is determined by the effect of gravitational acceleration. The general equation in this case is described as:

[tex]h(t)=-\frac{1}{2}gt^2+v_{0}t+h_{0}[/tex]

Where:

[tex]h(t): \ height \ at \ any \ time \\ \\ g: \ acceleration \ due \ to \ gravity \ 9.8m/s^2 \ or \ 32.16ft/s^2 \\ \\ v_{0}= \ Initial \ velocity[/tex]

So:

[tex]v_{0}=64ft/s \\ \\ h_{0}=3ft[/tex]

Finally, the equation is:

[tex]h(t)=-\frac{1}{2}(32.16)t^2+(64)t+3 \\ \\ \boxed{h(t)=-16.08t^2+64t+3}[/tex]

b. How long will it take the rocket to reach its maximum height?

The rocket will reach the maximum height at the vertex of the parabola described by the equation [tex]h(t)=-16.08t^2+64t+3[/tex]. Therefore, our goal is to find [tex]t[/tex] at this point. In math, a parabola is described by the quadratic function:

[tex]f(x)=ax^2+bx+c[/tex]

So the x-coordinate of the vertex can be calculated as:

[tex]x=-\frac{b}{2a}[/tex]

From our equation:

[tex]a=-16.08 \\ \\ b=64 \\ \\ c=3[/tex]

So:

[tex]t=-\frac{64}{2(-16.08)} \\ \\ \boxed{t=1.99s}[/tex]

So the rocket will take its maximum value after 1.99 seconds.

c. What is the maximum height the rocket will reach?

From the previous solution, we know that after 1.99 seconds, the rocket will reach its maximum, so it is obvious that the maximum height is given by [tex]h(1.99)[/tex]. Thus, we can find this as follows:

[tex]H_{max}=h(1.99)=-16.08(1.99)^2+64(1.99)+3 \\ \\ \boxed{H_{max}=66.68ft}[/tex]

So the maximum height the rocket will reach is 66.68ft

d. How long is the rocket in the air?

The rocket is in the air until it hits the ground. This can be found setting [tex]h(t)=0[/tex], so:

[tex]0=-16.08t^2+64t+3 \\ \\ Applying \ quadratic \ formula: \\ \\ t_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=-16.08 \\ \\ b=64 \\ \\ c=3 \\ \\ t_{12}=\frac{-64 \pm \sqrt{64^2-4(-16.08)(3)}}{2(-16.08)} \\ \\ t_{1}=4.0264 \\ \\ t_{2}=-0.046[/tex]

We can't have negative value of time, so the only correct option is [tex]t_{1}=4.0264[/tex] and rounding to the nearest hundredth we have definitively:

[tex]\boxed{t=4.03s}[/tex]

Gavin’s gross biweekly salary is $1120.


Find the maximum amount of rent Gavin


can afford. Round to the nearest dollar

Answers

Answer:

Step-by-step explanation:

There are various guidelines that one is supposed to follow when estimating affordable rent.  For example, "rent must not exceed 40%" of one's monthly salary.  You don't mention a percentage (do that next time, please), but I will use 40% as an example.

If Gavin's gross biweekly salary is $1,120, 40% of that is

0.40($1,120) = $448 biweekly.

In this example, Gavin can afford to spend no more than $448 biweekly on rent.

what is the completley factored form of f(x)=x^3-2x^2-5x+6

Answers

Answer:

f(x) = (x - 1)(x + 2)(x - 3)

Step-by-step explanation:

We are given the following function and we are to factorize it completely:

[tex] f ( x ) = x ^ 3 - 2 x ^ 2 - 5 x + 6 [/tex]

To factorize this completely, we will use the rational roots theorem.

[tex] x ^ 3 - 2 x ^ 2 - 5 x + 6 [/tex]

P = ± multiples of constant term [tex]6 = \pm1, \pm2, \pm3, \pm6[/tex]

Q = ± multiples of the coefficient of highest degree term  [tex] = \pm1[/tex]

So the factors will be [tex]\frac{P}{Q}[/tex].

The possible rational roots are [tex] 1, \pm2, \pm3, \pm6[/tex].

1 is a confirmed root and now we will use synthetic division to find the other rational roots:

1 | 1  -2  -5   6

        1   -1   -6

___________

   1   -1   -6   0    

So the polynomial will be [tex](x^2 - x - 6)[/tex] which can we factorize now.

[tex]x^2 - x - 6 = x^2 - 3x + 2x - 6[/tex]

[tex]x(x - 3) + 2(x - 3) = (x+2)(x-3)[/tex]

Therefore, the completely factorized form of the given function is f(x) = (x - 1)(x + 2)(x - 3).

Valerie took out a loan to pay off some bills. She borrowed $1,200 at an annual interest rate of 9%. How much interest did she pay on the loan the first year?

Answers

Answer:

$108

Step-by-step explanation:

Step 1: Find the interest. You do this by multiplying the amount borrowed by the interest rate. In this case, you multiply 1,200 by 9% (0.09). 1,200 * 0.09 is $108. That's the amount she paid on the loan in her first year.

What values for θ (0 ≤ θ ≤ 2π) satisfy the equation?2 sin θ cos θ + root3 cos θ = 0?

Answers

[tex]\bf 2sin(\theta )cos(\theta )+\sqrt{3}cos(\theta )=0\implies \stackrel{\textit{common factor}}{cos(\theta )[2sin(\theta )+\sqrt{3}]=0} \\\\[-0.35em] ~\dotfill\\\\ cos(\theta )=0\implies \theta =cos^{-1}(0)\implies \theta = \begin{cases} \frac{\pi }{2}\\\\ \frac{3\pi }{2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf 2sin(\theta )+\sqrt{3}=\implies 2sin(\theta )=-\sqrt{3}\implies sin(\theta )=-\cfrac{\sqrt{3}}{2} \\\\\\ \theta =sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right)\implies \theta= \begin{cases} \frac{4\pi }{3}\\\\ \frac{5\pi }{3} \end{cases}[/tex]

Step-by-step answer:

Given equation:

2sin(theta)cos(theta) + sqrt(3)*cos(theta) = 0  ...........................(1)

Solve for theta for 0<=theta<=2pi.

Factor out cos(theta), we get

cos(theta) * ( 2sin(theta) + sqrt(3) ) = 0

By the zero product theorem, we can conclude

cos(theta) = 0   ...................................(2)

OR  

2sin(theta) + sqrt(3) = 0  ................. (3)

Solving (2)

cos(theta) = 0 has solutions pi/2 or 3pi/2  from the cosing curve.

Solving (3)

2sin(theta) + sqrt(3) = 0  =>

sin(theta) = -sqrt(3)/2

which has solutions  4pi/3 or 5pi/3.

So the solutions to equation (1) are

S={pi/2,  4pi/3, 3pi/2, 5pi/3}

Hiroshi picked 25 apples and gave away 17. Hiroshi divided the rest equally among 2 friends. How many did each friend have?

Answers

25-17=8

8÷2=4

4 apples per friend.

In the standard (x, y) coordinate plane, if the x-coordinate of each point is 2 times the y-coordinate, what is the slope of the line?

Answers

Answer:

the slope is 1/2

Work:

if the x-coordinate is two times the y-coordinate, that means you are going up one over two each time

slope= y2-y1/x2-x1

so you can pick two points, like (2, 1) and (4,2) and use the formula

slope= 2-1/4-2= 1/2


What is the common difference for this arithmetic sequence?
29, 42, 55, 68, ...
A. 71
O
B. 13
O
C. 81
O
D. 23
SUBMIT

Answers

The answer is B)13

The rest of these words are to reach the minimum 20 words of an answer lol

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Evaluate.

Answers

Answer:

46

Step-by-step explanation:

You need to replace i with 2,3,4,5.

i=2, 6+1

3, 9+1

4, 12+1

5, 15+1

sum=46

Answer:  B) 46

Step-by-step explanation:

The summation of 3i + 1 from i = 2 to i = 5 can be calculated by finding the value of each term and then adding them up ... or.... using the formula:

i = 2: 3(2) + 1 = 7

i = 3: 3(3) + 1 = 10

i = 4: 3(4) + 1 = 13

i = 5: 3(5) + 1 = 16

       TOTAL = 46

[tex]\text{Equation: }\dfrac{a_1+a_5}{2}\times n\\\\.\qquad =\dfrac{7+16}{2}\times 4\\\\.\qquad =23\times 2\\\\.\qquad =46[/tex]

Solve the following systems of equations:
4x+5y=-4
4x+3y=12

X=?
Y=?

Answers

For this case we have the following system of equations:

[tex]4x + 5y = -4\\4x + 3y = 12[/tex]

We multiply the second equation by -1:

[tex]-4x-3y = -12[/tex]

We add the equations:

[tex]4x-4x + 5y-3y = -4-12\\5y-3y = -4-12\\2y = -16\\y = \frac {-16} {2}\\y = -8[/tex]

We find the value of "x":

[tex]4x = 12-3y\\x = \frac {12-3y} {4}\\x = \frac {12-3 (-8)} {4}\\x = \frac {12 + 24} {4}\\x = \frac {36} {4}\\x = 9[/tex]

Thus, the solution of the system is given by:

[tex](x, y) :( 9, -8)[/tex]

ANswer:

(9, -8)

Answer:

x = 9 and y = -8

Step-by-step explanation:

It is given that,

4x + 5y = -4     ----(1)

4x + 3y = 12    -----(2)

To find the value of x and y

eq (1) - eq (2) ⇒

4x + 5y = -4     ----(1)

4x + 3y = 12    -----(2)

  0 + 2y = -16

y = -16/2 = -8

Substitute the value of y in eq (1)

4x + 5y = -4     ----(1)

4x + 5*-8 = -4

4x - 40 = -4

4x = -4 + 40 = 36

x = 36/4 = 9

x = 9 and y = -8

Algebra 2 help - DO NOT GUESS! EXPLAIN YOUR ANSWER PLEASE :)

How far does the barnacle travel in one revolution of the water wheel?

Just the last question in the picture ^^ I got the other two! This question is very confusing and i forget how to do it so some help would be great :,)

WILL REPORT ANY RANDOM GUESSES**

Answers

The travel of the barnacle would be the circumference of the circle.

Circumference formula is 2 x PI x r

Circumference  = 2 x PI x 1m

= 2 x PI

If you use 3.14 for PI the circumference is 2 x 3.14 = 6.28 m.

Round the answer as needed.

graph the line.
y - 2 = -3(x + 3)

Answers

Answer:

  see below

Step-by-step explanation:

The equation is in point-slope form, so you know the line goes through the point (x, y) = (-3, 2) and it has a slope of -3. The slope tells you the line goes down 3 units for each 2 units to the right.

21. what are the excluded values of the function? y= 5/6x-72


A. 0

B. 12

C. 72

D. 11


22. what are the excluded values of the function? y= 6/x^2-25


A. x=/ 5, -5

B. x=/ 5

C. x=/ -5

D. x=/ 1/6

Answers

you have to calculate the SID number and then take it upon yourself and divided X it's actual number and then there's a chance and the answer would be c.72

Can someone please help me understand how to do this equation?

Answers

System A --> B

Equation A1 and B1 the same, but B2 changes. The change is that the whole equation is multiplied by 4. So, the answer is B and 4 goes in the blank

System B --> C

Equation B1 and C1 are the same, but C2 changes. This change is not multiplication, so our only option now is C. In C2, the x-factor is removed, which means that elimination occurred. -12/-3 = 4, so in the blank, 4 goes in.

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