Which inequality does the graph below represent?

Which Inequality Does The Graph Below Represent?

Answers

Answer 1

Answer:

A. [tex]y\le2x^2-8x+3[/tex]

Step-by-step explanation:

The given parabola has vertex at (2,-5).

The equation of this parabola in vertex form is given by:

[tex]y=a(x-h)^2+k[/tex], where (h,k)=(2,-5) is the vertex  of the parabola.

We substitute the values to get:

[tex]y=a(x-2)^2-5[/tex]

The graph passes through; (0,3).

[tex]3=a(0-2)^2-5[/tex]

[tex]\implies 3+5=4a[/tex]

[tex]\implies 8=4a[/tex]

[tex]\implies a=2[/tex]

Hence the equation of the parabola is

[tex]y=2(x-2)^2-5[/tex]

We expand this to get:

[tex]y=2x^2-8x+8-5[/tex]

[tex]y=2x^2-8x+3[/tex]

Since the outward region was shaded, the corresponding inequality is

[tex]y\le2x^2-8x+3[/tex]

The correct answer is A


Related Questions

PLEASE HELP



Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C.She is told she can rewrite this equation in slope-intercept form, y=mx+b, to find the pattern. She correctly rewrites the equation 7x+9y=14 in slope-intercept form as y=−79x+149.

Which answer explains the pattern for how to find the slope using an equation in standard form?

A.In slope-intercept form, the slope is −79.These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is −BA.

B.In slope-intercept form, the slope is −79.These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is −AB.

C.In slope-intercept form, the slope is 149.. These values are C and A, but with the opposite sign, so the slope of the line from the equation in standard form is −CA.

D.=In slope-intercept form, the slope is 149. These values are C and B, but with the opposite sign, so the slope of the line from the equation in standard form is −CB.


Answers

Answer:

B.In slope-intercept form, the slope is −79.These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is −AB.

Step-by-step explanation:

A is being moved to the other side of the equation so it has to be negative and is multiplied by B since the y value has to be divided to equal the base of y not 9y but y.

How do you: Find the 4th term of (x-2y)^6

Answers

To find the 4th term of (x-2y)^6, you can use the binomial expansion formula. The 4th term is 240x^2y^4.

To find the 4th term of (x-2y)^6, we can use the binomial expansion formula. The formula is: (a+b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nC(n-1) * a^1 * b^(n-1) + nCn * a^0 * b^nIn this case, a = x, b = -2y, and n = 6. So we have: (x-2y)^6 = 6C0 * x^6 * (-2y)^0 + 6C1 * x^5 * (-2y)^1 + 6C2 * x^4 * (-2y)^2 + 6C3 * x^3 * (-2y)^3 + 6C4 * x^2 * (-2y)^4 + 6C5 * x^1 * (-2y)^5 + 6C6 * x^0 * (-2y)^6To find the 4th term, we need to find the term with the exponent of x^2 * (-2y)^4. This occurs when nCr = 6C4. Using the formula, we have: 6C4 = 6! / (4! * 2!) = 15

Therefore, the 4th term of (x-2y)^6 is 15 * x^2 * (-2y)^4, which simplifies to 15x^2 * 16y^4 = 240x^2y^4.

Final answer:

To find the 4th term of (x - 2y)^6, we can use the binomial expansion formula.

Explanation:

To find the 4th term of (x - 2y)^6, we can use the binomial expansion formula.


The formula is: (a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn * a^0 * b^n


Where nCk represents the binomial coefficient, which can be calculated as n! / (k! * (n-k)!)

In this case, a = x and b = -2y.

The exponents will go from 6 down to 0, and we need to find the term with k = 4.

Let's substitute these values into the formula:

(x - 2y)^6 = 6C0 * x^6 * (-2y)^0 + 6C1 * x^5 * (-2y)^1 + 6C2 * x^4 * (-2y)^2 + 6C3 * x^3 * (-2y)^3 + 6C4 * x^2 * (-2y)^4 + 6C5 * x^1 * (-2y)^5 + 6C6 * x^0 * (-2y)^6

To find the 4th term, we look at the term with k = 4. Using the binomial coefficient:

6C4 = 6! / (4! * (6-4)!)

= 15

Substituting this back into the formula, we get:

15 * x^2 * (-2y)^4

If this trapezoid is moved through the translation (x+1,y-3), what will the coordinates of A be?
Please Help Me!!!

Answers

Answer:

A' = (- 5, - 1)

Step-by-step explanation:

The coordinates of point A = (- 6, 2)

Under the translation (x + 1, y - 3)

Add 1 to the x- coordinate of A and subtract 3 from the y- coordinate of A

A' = (- 6 + 1, 2 - 3) → A' = (- 5, - 1)

Based on the fact that there are  4 points which are given below, we have to move the trapezoid to the points of A will be (x+1, y-3). The coordinates of A be A(-6,2) =>A'(-5, -1)

What is a trapezoid?

A trapezoid is regarded as a  quadrilateral that has only one pair of opposite sides that are said to be parallel.

The points on the graph are:

A(-6,2) =>A'(-5, -1)

B(-5,4) =>B'( -4,1)

C(-2,4)=> C'(-1,1)

D( 1,2) => D'(2,-1)

It is made up of a right angles (called right trapezoid), and it can also contain a congruent sides (isosceles). Note that in the above, the only way the trapezoid  can fit into the translation movement (Point A)is if it is moved to the points of (x+1, y-3) on the graph.

The coordinates of A be A(-6,2) =>A'(-5, -1).

Find out more information about trapezoid here

brainly.com/question/1410008

#SPJ2

there are 8 finalist in the spelling bee. The order of the contestants will be determined by a random draw. How many different orders are possible for the spelling bee?​

Answers

Answer: Option  C

(C ) 96

Step-by-step explanation:

The correct answer would be C, which is 96.

                         You're Welcome!

3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than
Sophie, and together they have 30 cards. By writing and solving an equation, find out how
many cards Sophie owns. Show all of your working out.

Answers

Answer:

Sophie has 12.5 cards

Step-by-step explanation:

Let

x -----> number of cards Sophie has

y -----> number of cards Jackie has

we know that

x+y=30 -----> equation A  

y=x+5 -----> equation B

Solve by substitution

Substitute equation B in equation A and solve for x

x+(x+5)=30

2x=30-5

x=12.5 cards

Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number

Big Bob’s Pizza is having a special on pizza and is offering two different choices: Choice #1: One slice of pizza from a pizza with a 22 inch diameter and is cut into 8 slices. The cost is $4.95. Choice #2: An entire personal-size pizza that has a diameter of 6 inches. The cost is $3.75. Which choice will give you more pizza for your money? Justify your answer using numbers and words.

Answers

Answer:

Choice #1 is better

Step-by-step explanation:

To find the solution to this problem, we have to compute the are in each case, and divide each value by the corresponding cost in order to find the cost per square. The lower the cost, the better the offer because it will give you more pizza for your money Thus:

CHOICE 1:

Here the offer of Big Bob’s Pizza gives one slice of pizza from a pizza with a 22 inches diameter (then the radius is 11 inches) and is cut into 8 slices, so the area for the first entire pizza is:

[tex]A_{1}=\pi r^2=\pi(11)^2 \\ \\ A_{1}=121 \pi in^2[/tex]

Each slice has an area of:

[tex]A_{slice}=\frac{121 \pi}{8} \\ \\ A_{slice}=47.51in^2[/tex]

Finally, the cost per square inch is:

[tex]C=\frac{4.95\$}{47.51in^2}=0.10\$[/tex]

CHOICE 2:

Here the offer of Big Bob’s Pizza gives: An entire personal-size pizza that has a diameter of 6 inches (then the radius is 3 inches), so the area for the entire pizza is:

[tex]A_{2}=\pi r^2=\pi(3)^2 \\ \\ A_{2}=28.27 in^2[/tex]

Finally, the cost per square inch is:

[tex]C=\frac{3.75\$}{28.27in^2}=0.13\$[/tex]

CONCLUSION: Choice #1 gives you more pizza for your money because the cost per square inch is less than the other option.

The special at Big Bob's Pizza which will give you more pizza for your money is Choice #1. Per square inch, Choice #1 will cost less and give more overall pizza at $0.10 a square inch then Choice #2 at $0.13 per square inch. You can find more pizza for your money, by using the area formula for a circle for each pizza and finding the price per square inch of each serving. This is called a unit rate and is the cost per unit.

Further Explanation

a. Find the radius of each pizza.

Since a pizza is a circle shape, it has a diameter and radius. The diameter is the distance across the pizza and the radius is half the diameter. We use the radius to find the area.

Choice #1: One slice of a pizza with a 22 inch diameter and is cut into 8 slices. Since the diameter is the distance across the pizza, 22 inch diameter means the pizza is 22 inches wide. The area formula uses the radius or half the diameter. The radius of choice #1 is 11 inches.Choice #2: An entire personal-size pizza that has a diameter of 6 inches. Here the radius is half of 6 inches. The radius of choice #2 is 3 inches.  

b. Find the area of each pizza using [tex]A = \pi r^{2}[/tex].

Choice #1: Substitute r = 11 into the formula then divide by 8 to find the area of one slice or serving.

       [tex]A = \pi r^{2} \\A = \pi (11)^{2} \\A = 121\pi \\A= 379.94[/tex]

       The area of one slice is [tex]\frac{379.94}{8} = 47.49.[/tex]

Choice #2: Substitute r = 3 into the formula. This is a personal pizza so the entire pizza is a serving.

       [tex]A = \pi r^{2} \\A = \pi (3)^{2} \\A = 9\pi \\A= 28.26[/tex]

c. Divide each area by the price.

The cost of Choice #1 is $4.95. Since the serving size is 1 slice, use the area of the slice 47.49. Divide it into the price to find the cost per square inch of one serving.

        [tex]\frac{4.95}{47.49} = 0.10[/tex]

The cost of Choice#2 is $ 3.75.  Since the serving serving size is the entire personal pizza, use the area of the pizza 28.26.

       [tex]\frac{3.75}{28.26} = 0.13[/tex]

Learn More Area and Circumference of a Circle Application: https://brainly.com/question/3519879 Cost per unit: https://brainly.com/question/11521316Answer Details

Grade: 8th Grade

Subject: Geometry

Chapter: Applications for Area of Shapes

Keywords: circle, area, radius, diameter, cost, unit rate

Read more on Brainly.com - https://brainly.com/question/12878495

WILL GIVE YOU BRAINLIEST + 22 POINT QUESTION!

which expression is equivalent to sqrt 55 x^7 y^6 / 11 x^11 y^8?

assume x > 0 and y > 0

Answers

Answer:

√55x\11x⁸y⁵

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer: C

Explanation:

√55x⁷y⁶/11x¹¹y⁸

→ 55/11 = 5

→ x⁷/x¹¹= x⁷⁻¹¹= x⁻⁴

→ y⁶/y⁸= y⁶⁻⁸= y⁻²

→ √5/x⁴y²

→ √5/x²y

If the exponent is a negative, the base is the reciprocal of itself with a positive exponent.

Ex: 6⁻² = 1/6² = 1/36

The square root of an exponent with a positive, even power is half of that power.

Ex: √x⁴ = x²

Mia spent 30 minutes answering the math questions on the exam. This was 1/4 of the total amount of time allotted for this section of the exam. To determine the total amount of time allotted for this section of the exam, Mia set up and solved the equation as shown below.


Which best describes the error that Mia made when solving the equation?

Answers

Answer:

Mia multiplied one side of the equation by 5/3 and the other side by 3/5. This makes the equation unbalanced and untrue. x should be 50

Step-by-step explanation:

Final answer:

Mia made an error when setting up the equation to determine the total time allotted for the math section of the exam. She incorrectly set up the equation as 30 = (1/4) * x, instead of 30 = (1/4) * x. The correct solution is x = 120.

Explanation:

Mia made an error when setting up the equation to determine the total amount of time allotted for the math section of the exam. Since Mia spent 30 minutes answering the math questions, which was 1/4 of the total time, the correct equation should be:

30 = (1/4) * x

To solve for x, we need to multiply both sides of the equation by 4 to undo the division:

4 * 30 = x

x = 120

Therefore, the total amount of time allotted for the math section of the exam is 120 minutes, not 30 minutes as Mia mistakenly calculated.

PLEASE HELP!! WILL MARK BRAINLIEST is y=x^2-3 linear

Answers

Answer:

A linear function is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. ... if your first diffs are the same it is linear. if not it is not linear.

a LINEar equation is an equation with a polynomial of degree 1 and is the graph of a LINE, let's look at this one, y = x² - 3, notice the exponent of ², meaning is a 2nd degree equation, and is a parabola, so is namely a quadratic, not a linear one.

Can someone please help me out ?

Answers

Answer:

b = 14 units

Step-by-step explanation:

The formula of an area of a parallelogram:

A = bh

b - base

h - height

We have A = 140 units², and h = 10 units. Substitute:

140 = 10b           divide both sides by 10

14 = b → b = 14 units

Solve for y.



y – (–19) = 25


A.
–44

B.
–6

C.
6

D.
44

Answers

Answer:

C

Step-by-step explanation:

note that - (- 19) = + 19

Given

y - (- 19) = 25, that is

y + 19 = 25 ( subtract 19 from both sides )

y = 6 → C

Answer:

Answer is C. 6

Step-by-step explanation:

Because:

y -(-19) = 25 (well i always put a 1 infront of parenthesis) so,

y -1(-19) =25 distribute the 1 in the parenthesis and you would get

19=25 minus 19 on both sides and you get y= 6

Hope my answer has helped you!

The graph of a function f(x)=(x+2)(x-4). Which describes all of the values for which the graph is negative and increasing?
all real values of x where x<-2
all real values of x where -2

Answers

Answer:

1. (2, -9)

2.  ( 0,-5)

What are the solution(s) to the quadratic equation x2 – 25 = 0?
O x = 5 and x = -5
OX=25 and x = -25
O x = 125 and x = -125
O no real solution​

Answers

[tex]x^2 - 25 = 0\\x^2=25\\x=-5 \vee x=5[/tex]

Answer:

x = ± 5

Step-by-step explanation:

Given

x² - 25 = 0

There are 2 possible approaches to solving this equation

Approach 1

add 25 to both sides

x² = 25 ( take the square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

Approach 2

x² - 25 ← is a difference of squares and factors as

(x - 5)(x + 5) = 0 ← in standard form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 5 = 0 ⇒ x = 5

Help! What is the equation on the graph. I have tried x^2+1 and it marks it incorrect

Answers

Answer:

[tex]y=2x^{2}+1[/tex]

Step-by-step explanation:

we know that

The graph is a vertical parabola open upward

The vertex is the point (0,1)

The equation of a vertical parabola in vertex form is equal to

[tex]y=a(x-h)^{2}+k[/tex]

substitute the vertex in the equation

[tex]y=a(x-0)^{2}+1[/tex]

[tex]y=a(x)^{2}+1[/tex]

Find the value of coefficient a

Observing the graph

For x=1, y=3

substitute in the equation

[tex]3=a(1)^{2}+1[/tex]

[tex]a=3-1=2[/tex]

The equation on the graph is equal to

[tex]y=2x^{2}+1[/tex]

Solve 2(1 – x) > 2x.

Answers

First you must distribute the 2 to the numbers inside the parentheses, which would be 1 and -x...

(2 * 1) + (2 * -x) > 2x

2 + (-2x) > 2x

2 - 2x >2x

Add 2x to both sides (what you do on one side you must do to the other). Since 2x is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.

2 - 2x + 2x > 2x + 2x

2 + 0 > 4x

2 > 4x

Next divide 4 to both sides to finish isolating x. Since 4 is being multiplied by x, division (the opposite of multiplication) will cancel 4 out (in this case it will make 4 one) from the right side and bring it over to the left side.

2/4 > 4x / 4

1/2 > x

or

x < 1/2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

x<1/2

Step-by-step explanation:

Expand.

 ↓

2(1-x)=2-2x

2-2x>2x

First, subtract by 2 from both sides of equation.

2-2x-2>2x-2

Simplify.

-2x>2x-2

Then subtract by 2x from both sides of equation.

-2x-2x>2x-2-2x

Simplify.

-4x>-2

Multiply by -1 from both sides of equation.

(-4)(-1)<(-2)(-1)

Simplify.

4x<2

Divide by 4 from both sides of equation.

4x/4<2/4

Simplify, to find the answer.

2/4=1/2

X<1/2 is the correct answer.

A taxicab starts at (1, −2) on the grid. It goes 4 blocks south and 3 blocks east to pick up a passenger. Then it goes 6 blocks west and 5 blocks north and drops off the passenger. How many blocks is the taxicab from its starting position?

Answers

Final answer:

The taxicab, after all its movements, is about 3.16 blocks away from its starting position. It ends up 3 blocks west and 1 block north from where it initially started.

Explanation:

The question asks us to determine the final position of a taxicab relative to its starting position after following a series of movements. The taxicab's starting position in this case is at the coordinate (1, -2).

Initially, it goes 4 blocks south (downwards in the grid, which we'll regard as negative) and 3 blocks east (to the right on the grid, which we'll regard as positive). Therefore, it moves to a point that is (+3, -4) relative to its starting position.

Next, it goes 6 blocks west (left on the grid, which is negative) and 5 blocks north (up on the grid, which is positive). So, this movement's relative position is (-6, +5).

To find out the final position of the taxicab relative to its starting position, we need to add up these movements' relative positions. The final relative position will be (+3-6, -4+5), which equals (-3, 1).

Hence, in terms of blocks, the taxicab is 3 blocks west and 1 block north of its starting position. The direct distance to the start would then be determined using the Pythagorean theorem, where the total distance is the square root of the sum of the squares of the movements in each direction (x and y coordinates). That forms the equation √((-3)² + 1²) = √10 ≈ 3.16 blocks.

Learn more about Coordinate Grid Movement here:

https://brainly.com/question/30065587

#SPJ3

Writing a quadratic equation given the roots and the leading coefficient
6,-4,1

Answers

[tex]\bf x= \begin{cases} 6\\ -4 \end{cases}\implies \begin{cases} x=6\implies &x-6=0\\ x=-4\implies &x+4=0 \end{cases} \\\\\\ (x-6)(x+4)=\stackrel{y}{0}\implies \stackrel{\mathbb{F~O~I~L}}{1x^2-2x-24}=y[/tex]

Teagan believes she can use a division expression to find the amount of pizza each of 6 friends will eat if they share 4/5 of a pizza. Which statement best explains why Teagan is correct or incorrect?

Answers

Answer: sorry i meant 7.5 would be incorrect

Step-by-step explanation: she wouldn't be able to do it if it goes over 6 so that is incorrect

Answer:

Teagan is correct.

Step-by-step explanation:

We are given the following information in the question:

Number of friends = 6

Pizza eaten by all friends = [tex]\frac{4}{5}[/tex]

Now, in order to find pizza eaten by each friend, Teagan need to divide pizza eaten by total number of friends.

Formula:

[tex]\text{Pizza eaten by each friend} = \displaystyle\frac{\text{Total pizza eaten}}{\text{Number of friends sharing the pizza}}\\\\= \displaystyle\frac{\frac{4}{5}}{6} = \displasystyle\frac{4}{30} = \displaystyle\frac{2}{15}[/tex]

Thus, each friend had  [tex]\frac{2}{15}[/tex] of a pizza.

How are they getting the numerator and denominator for the fractions for the coordinates? PLEASE HELP ASAP!!!!! 20 POINTS!!!!

Answers

Answer:

All except from point E's y-coordinate (which is -1.5 (found it through the equation y=-1.5 and trying to see if these coordinates are solutions to the above equation) All the others are integers, which you can find through aligning the point on the axis of the chosen (y or x) coordinate.

Step-by-step explanation:

Point C has -2 x-coordinate since it is on the x=-2 line

Similarly, point D has -2 y coordinate,

point E has 2 x-coordinate and -1,5 y-coordinate

and point F , since it's the two axis' common point has coordinates of (0,0).

Hope I helped! Further explanation can be given on request on your behalf.

What is the range of P=3,000(1/1,000)

Answers

Answer:

p = 3

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    p-(3000*(1/1000))=0  

Step by step solution :

Step  1  :

             1  

Simplify   ————

           1000

Equation at the end of step  1  :

                1  

 p -  (3000 • ————)  = 0  

              1000

Step  2  :

Equation at the end of step  2  :

 p - 3  = 0  

Step  3  :

Solving a Single Variable Equation :

3.1      Solve  :    p-3 = 0  

Add  3  to both sides of the equation :  

                     p = 3

Please mark brainliest and have a great day!

Which of the following best describes the algebraic expression x/3 -15

Answers

Answer:

A. A number divided by three minus fifteen.

A number is divided by three minus fifteen best describes the given algebraic expression [tex]\frac{x}{3}-15[/tex].

Option A is correct.

What is an algebraic expression?

An algebraic expression is a variable expression described using its terms, and operations on the terms. For example, x + 3 can be described as "3 more than x".

Given algebraic expression

[tex]\frac{x}{3}-15[/tex]

[tex]\frac{x}{3}[/tex] means a number is divided by three and [tex]\frac{x}{3}-15[/tex] means a number is divided by three minus fifteen.

A number is divided by three minus fifteen best describes the given algebraic expression [tex]\frac{x}{3}-15[/tex].

Option A is correct.

Find out more information about algebraic expression here

https://brainly.com/question/19245500

#SPJ2

Make a conjecture about the next item in the sequence.
1, 4, 16, 64, 256
Select one:

a. 1024

b. 1025

c. 4096

d. 1022

Answers

Answer:

Option A is correct.

Step-by-step explanation:

Given terms,

1 , 4 , 16 , 64 , 256.

If we observe the equation, we can easily say that the terms are getting multiplied by 4 to get the next one.

Since this equation has a common ratio, this can be solved by using the properties of geometric progressions.

From the properties of geometric progressions :

nth term = a r^( n - 1 ) , where a is the first term, r is the common ratio between the terms and n is the number of terms.

Here,

Common Ratio ( or r ) = any term( except first ) / previous terms = 64 / 16 = 16 / 4 = 4

First terms = 1

Therefore,

= > Next term should be : 1 x ( 4 )^( 6 - 1 ) { Since next term will be 6th term }

= > Next term = 1 x 4^5

= > Next term = 1024

Hence the required next term is 1024.

Option A is correct.

Or

Here we can see that the terms are written in the form of 4^n where n is any whole number.

Since 246 is 4^4 , and terms are increasing in order of 1, next term should be 4^5 i.e. 1024 .

Thus, option A is correct.

Answer:

A

Step-by-step explanation: you times each one by 4


Which value represents |-100|?







A. -100


B. -10


C. 0


D. 100

Answers

Answer:

D. :)

Step-by-step explanation:

I think it’s a because -100 is 100

please help quick. thanks ​

Answers

Answer:

The number in the square root is 50.

Step-by-step explanation:

Using the pythagorean theorem, we know that c is 10, so we plug in 2a^2=100, since we know that both of the leg lengths are the same.

Simplifying this equation gives a^2=50, which square rooting both sides gives

a = sqrt(50)

Hope this helps!

How do you divide (m^(3)- 13m^(2)+24m+18)div(m-3) using synthetic division step by step?

Answers

Answer:

The quotient is: m^2-10m-6

The remainder is: 0

Step-by-step explanation:

We need to divide m^3-13m^2+24m+18 ÷ m-3 using synthetic division

The division is shown in the figure below.

The quotient is: m^2-10m-6

The remainder is: 0

What is the surface area of the right cylinder below?

Answers

Answer:

A≈622.04

Step-by-step explanation:

Formula: A=2πrh+2πr²

Answer: A. 622 sq. units

Step-by-step explanation:

The surface area of a cylinder is given by :-

[tex]S.A.=2\pi r(r+h)[/tex], where r is the radius , h is height of the cylinder.

Given : The height of the cylinder : h= 2 units

The radius of the cylinder : r= 9 units

Then , the surface area of a cylinder will be :-

[tex]S.A.=2(3.14159) 9(9+2)\\\\\Rightarrow\ S.A.=622.03482\approx622\text{sq. units}[/tex]

which is greater 5000 g or 10 lb​

Answers

Answer:

5000 g

Step-by-step explanation:

5000 g = 11.02311 lb

10 lb​ = 4535.92

Re-write the equation 3x - y = 4 in slope-intercept form.
a. y = 3x -4
b. y = 3x + 4
C. y=-3x
D. y=-3x+4

Answers

Answer:

a

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Rearrange 3x - y = 4 into this form ( add y to both sides )

3x = y + 4 ( subtract 4 from both sides )

3x - 4 = y OR y = 3x - 4 → a

Final answer:

The equation 3x - y = 4 is rewritten in slope-intercept form as y = 3x - 4, where the slope is 3 and the y-intercept is -4, corresponding to answer option A.

Explanation:

To rewrite the equation 3x - y = 4 in slope-intercept form (y = mx + b), we need to solve the equation for y.

Here are the steps:

Add y to both sides of the equation: 3x = y + 4.

Subtract 4 from both sides of the equation: y = 3x - 4.

Therefore, the equation in slope-intercept form is y = 3x - 4. This represents a line with a slope of 3 and a y-intercept of -4. So the correct answer is option A: y = 3x - 4.

What is the area of a regular hexagon if a side is 30

Answers

Answer:

[tex]1350\sqrt{3}[/tex] square units (approximately 2338.26859)

Step-by-step explanation:

The formula for finding the area of a regular hexagon when you know its side length is [tex]A=\frac{3\sqrt{3}*s^2}{2}[/tex], where [tex]A[/tex] is the area and [tex]s[/tex] is the side length.

Substitute in the side length. [tex]A=\frac{3\sqrt{3}*30^2}{2}[/tex]Simplify the exponent. [tex]A=\frac{3\sqrt{3}*900}{2}[/tex]Multiply. [tex]A=\frac{2700\sqrt{3}}{2}[/tex]Divide. [tex]A=1350\sqrt{3}[/tex]

[tex]1350\sqrt{3}[/tex] is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.

Fifteen years from now Ravi's age will be four times his present age what is Ravi's present age

Answers

Let x represent Ravi's current age.

Now, Ravi's age fifteen years from now is effectively Ravi's age plus fifteen, therefor we can write this as x + 15.

Four times Ravi's present age is four multiplied by his present age, therefor we can write this as 4x.

If Ravi's age fifteen years from now is equal to four times his present age, then:

x + 15 = 4x

Now all we have to do is solve for x to find Ravi's present age:

x + 15 = 4x

15 = 3x (Subtract x from both sides)

5 = x (Divide both sides by 3)

Therefor, Ravi's present age is 5 years.

Other Questions
The cellular organelle that is considered the site of respiration is the a. Nucleusb. lysosomec. mitochondriond. rough ERe. golgi apparatus Which of the following regarding the Ames test is true? a. It is used to identify newly formed auxotrophic mutants. b. It is used to identify mutants with restored biosynthetic activity. c. It is used to identify spontaneous mutants. d. It is used to identify mutants lacking photoreactivation activity. What was happening at the same time that Crittenden was pushing acompromise to settle the slavery question? VJames has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and it will cost $28,000 per year. He will go to school full time and will not be able to work. Upon graduation, James' new salary will be $56,000 per year. How many years will it take James to recover his investment? A. 1.3 years b. 2.5 years c. 10 years d. 20 years. 11.22x 200 < 347.96 A novel contains these parallel plots:1. A woman runs the farm by herself when her husbandleaves to go fight in the Civil War.2. A woman gets a job to support herself while herhusband is fighting in World War II.How are the plots similar?A. Each woman discovers a way to support herself during difficulttimes.OB. Each woman discovers that working in a factory is a fulfillingexperience.C. Each woman discovers that she is lonely while her husband isaway.DD. Each woman discovers that she enjoys running a farm while herhusband is away. A light post, shown below, is set in concrete and supported with a wirewhile the concrete dries. Find, to the nearest degree, the angle ofelevation of the top of the post made by the wire from the stake in theground.(1) 66(2) 24(3) 22(4) 64 The first level in the PLISSIT model involves _______a.giving limited informationb.making specific suggestionsc.undergoing intensive therapyd.giving permission Which would have a higher pH, a 0.1 M solution of a strong acid, or a weak acid? Why? An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and 60 find the widht of river Not multiple choice.The function of the larger, more typical pinecone is:to produce pollento produce spermto produce eggsto fertilize seeds In a free market economy consumers do not decide what job they will perform. True or false?Questions 2.) producers in a free market continually strive to meet the demands of consumers. True or false?Question 3.) on a free market economy, producers sell goods and services at prices consumers are willing to pay. True or false?Question 4.) profit is a major incentive of competition. True or false? Which characteristic do healthy families have in common? a. having above average household incomeb. ignoring one anothers happiness c. demonstrating love for oneselfd. communicating with one another In an exothermic reaction the bonding energy of the product is:less than the reactantssame as the reactantsgreater than the reactantsdependent upon the presence of a catalyst During the Gilded Age, most laborers were considered to be in Which triangle is a 30-60-90 triangle? Which of the following describes work?holding a 1 kg mass for 1 hrholding 1 kg massmoving 1 m in 1 hrlifting a 1 kg mass 1 m The Basics of JudaisnWhat is a monotheistic religion? The term 'white man's burden" refers tothe difficulty of converting colonists to Christianity.the belief that Europe had a duty to civilize other people.the conviction that white people were superior to all others.the struggle to survive in an increasingly industrialized world. Hello!! im not sure how to do this question, if you could explain your work thatd b great!! Steam Workshop Downloader