LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

The solution is,  1/3 ÷ 6, expression shows how much of the pan each person gets.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

wen and five friends equally share 1/3 of a pan of snack bars.

so, we get,

the expression is 1/3 ÷ 6

This is because there are 6 friends in all and you are splitting 1/3 of the pan snack bars to each of them.

So, what your splitting/cutting/dividing would be the dividend (1/3) and then the friends would be the divisor (6)

To learn more on division click:

brainly.com/question/21416852

#SPJ1

The nth term of the given Quadratic Sequence is n² + 2n.

Given, a sequence of numbers i.e. 3, 8, 15, 24, 35

Now, we have to find the nth term of this quadratic sequence

Let, the quadratic sequence be defined as,

f(x) = ax² + bx + c

Now, as we have f(1) = 3

So, a + b + c = 3 ... (1)

also, we have f(2) = 8

So, 4a + 2b + c = 8 ... (2)

also, we have f(3) = 15

So, 9a + 3b + c = 15 ... (3)

On solving Eq (1) & (2), we get

3a + b = 5 ... (4)

also, On solving Eq (3) & (2), we get

5a + b = 7 ... (5)

Now, on solving Eq (4) & (5), we get

2a = 2

a = 1

On substituting the value of 'a' in Eq. (5), we get

b = 2

So, the quadratic sequence be f(x) = x² + 2x.

Hence, the Quadratic Sequence f(x) = x² + 2x and the nth term be

n² + 2n.

Learn more about Sequence and Series here https://brainly.com/question/26263191

#SPJ1

The complete factorization of the polynomial is:

h(x) = (x - 3)*(x - 1)*(x + 2)

Here we have the polynomial:

g(x)= x³ - 2x² - 5x + 6

And we know that x = 3 is a zero, then (x - 3) is a factor.

So if f(x) = a*x² + b*x + c

We can write:

h(x) = (x - 3)*f(x)

Let's find f(x).

Expanding that:

x³ - 2x² - 5x + 6 = (x - 3)*(a*x² + b*x + c)

x³ - 2x² - 5x + 6 = ax³ + bx² + cx - 3ax² - 3bx - 3c

x³ - 2x² - 5x + 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c

Comparing like terms, we can see that:

a = 1

b - 3 a = -2

c - 3b = -5

-3c = 6

With the first and last equation we can get:

a = 1

c = 6/-3 = -2

Now with one of these values and the second or third equation we can find the value of b.

b - 3 a = -2

b - 3*1 = -2

b - 3 = -2

b = -2 + 3 = 1

Then:

f(x)  = x² + x - 2

The zeros of this quadratic function are given by:

x = -1±3 / 2

so, we get,

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

x = (-1 - 3)/2 = -2

Then we can factorize this as:

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

And then we can write h(x) as:

h(x) = (x - 3)*(x - 1)*(x + 2)

Learn more about  polynomials at:

brainly.com/question/4142886

#SPJ1

complete question:

For the polynomial below, 3 is a zero.

g(x)= x³ - 2x² - 5x + 6

Express g (x) as a product of linear factors.

Answer:

The total weight = 1286 × 62.4 = 80246 pounds.  

Step-by-step explanation:

The formula of the volume of the sphere is

V = 4/3×π×r³

Given

d = 17 feet

as

d = 2r

so

r = d/2 = 17/2 = 8.5 feet

as

V = 4/3×π×r³

Since we need half of the volume as it is a hemispherical tank.

\(\frac{V}{2}=\pi r^3\)

    \(=\frac{2}{3}\times \:3.14\times \:8.5^3\)

    = 1286 ft³

Given that the weighs 62.4 pounds per cubic foot

Thus,

The total weight = 1286 × 62.4 = 80246 pounds.                

The total weight of the water in a full hemispherical tank, which is filled with water, is 80,260 pounds.

The volume of the hemisphere is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the hemisphere can be calculated with the following formula.

\(V=\dfrac{2}{3}\pir^3\)

Here, {r} is the radius of the hemisphere.

A hemispherical tank is filled with water and has a diameter of 17 feet. The radius of the hemisphere will be half of the diameter. Thus,

\(r=\dfrac{17}{2}\\r=8.5\rm\;ft\)

The volume of the hemispherical tank is,

\(V=\dfrac{2}{3}\pi(8.5)^3\\V=1286.22\rm\; ft^3\)

The water weighs 62.4 pounds per cubic foot. Thus, the total weight of the water in a full tank is,

\(W={1286.22}\times62.4\\W=80260\rm \;pounds\)

Hence, the total weight of the water in a full hemispherical tank, which is filled with water, is 80,260 pounds.

Learn more about the volume of the hemisphere here;

https://brainly.com/question/19029662

Answer:

D

Step-by-step explanation:

The triple integral using the spherical coordinates is 16 π .

Given :

Use spherical coordinates. Evaluate( x^2 + y^2 + z^2 )^1/2 dv, where B is the ball with center the origin and radius 3.

we know that ,

= ∫∫∫ ( x^2 + y^2 + z^2 )^1/2 dv

= ∫∫∫ x . x^2 .sin Φ dΦ dθ dx

where lower limits and upper limits are ( 0 , 2 ) , ( 0 , 2 π ) , ( 0 , π ) .

= ∫ x^3 . dx ∫ dθ ∫ sin Φ dΦ

= 2^4 / 4 * 2 π * 2

= 4 * 2 π * 2

= 8 π * 2

= 16 π

Learn more about the coordinates here:

https://brainly.com/question/27749090

#SPJ4

Answer:

A

Step-by-step explanation:

There is an x in all for terms that means that x = 0 is one of the factors and H is incorrect.

One of the remaining factors is x^2 - 9 which factors into (x - 3)(x + 3)

You are told that x = 1  is a zero which means x - 1 is a factor.

The answer is g(x) = x (x - 3)(x + 3) (x - 1) which is A

Answer:

24

Step-by-step explanation:

The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.

6 x 8 = 48

48 / 2 = 24

Answer:

the answer is 1024

Step-by-step explanation:

The volume of a rectangular prism whose side is 10 and length is 13 as described in the task content is; 1300.

It follows from the task content that the rectangular prism in discuss has its side lengths to be 10 and it's height to be; 13.

It therefore follows from the formula for volume of a rectangular prism that the Volume of the prism can be evaluated as follows;

Volume, V = 10 × 10 × 13.

V = 1300.

Ultimately, the volume of the rectangular prism in discuss is; 1300.

Read more on volume of rectangular prism;

https://brainly.com/question/12917973

#SPJ1

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

learn more on angles here: brainly.com/question/18854964

#SPJ1

The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

Learn more about bisecting of angles on https://brainly.com/question/23984603

#SPJ1

Step-by-step explanation:

7! = 5040 ways

Answer:

B

Step-by-step explanation:

x is less than -1 and the point is on -1.

Answer:

Each cast 7

Step-by-step explanation:

28 + 35 = 63, I just guess and checked

ok so how you do this one is your going to divide the 63 spells by the ratios added and then multiply by 4 and 5

\(63 \div 9 = 7\)

\(7 \times 4 = 28\)

\(7 \times 5 = 35\)

luna casts 28 spells

ginny casts 35 spell

Answer:

N = 5

Step-by-step explanation:

6 (2n - 8) = 12

12n - 48 = 12

12n = 60

n = 5

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

5 = n (i think)

Step-by-step explanation:

6(2(5)- 8) = 12

6(10 - 8)= 12

6 (2) = 12

Answer:

243

Step-by-step explanation:

Going in times 3 so 81 x 3 = 243

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

For more such questions on sentence translation, click on:

https://brainly.com/question/28958546

#SPJ8

Answer:

All of the examples define relations between a domain and range.

Such a relation will be a function if and only if each value in the domain corresponds to at most one value in the range.

In the first example, the value

−

1

in the domain is associated with two values in the range, namely

−

5

and

1

.

In the second example, the value

−

1

in the domain is associated with two values in the range, namely

7

and

1

.

In the third example, the value

3

in the domain is associated with two values in the range, namely

2

and

4

.

In the fourth example, each of the values in the domain is associated with one value in the range, so this describes a function. Note however that the values

−

4

and

−

7

are both mapped to

5

. So the function described is not one to one and consequently its inverse is not a function.

Answer:

8,000,000

Step-by-step explanation:

This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.

Meaning? Well...

500,000 x 2 = 1,000,000 = 64yrs

1,000,000 x 2 = 2,000,000 = 128yrs

2,000,000 x 2 = 4,000,000 = 192yrs

4,000,000 x 2 = 8,000,000 = 256yrs

This is 4 times.

so every time it's doubled, it means the sum of that number times 2.

Answer:

2y-3

Step-by-step explanation:

the product of y and 2 is just multiplying

then 3 less means subt. 3

Answer:

Step-by-step explanation:

(-9,)

(-3, 16)

• (-0,16)

Answer:

\(y = \frac{1}{10}x + 6\)

500 cups cost $56

Step-by-step explanation:

Given

\(x = cups\)

\(y = cost\)

\((x_1,y_1) = (150,21)\)

\((x_2,y_2) = (300,36)\)

Solving (a): Linear Equation

First, we calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Substitute right values

\(m = \frac{36 - 21}{300- 150}\)

\(m = \frac{15}{150}\)

\(m = \frac{1}{10}\)

The equation is then calculated as:

\(y = m(x - x_1) + y_1\)

Where

\((x_1,y_1) = (150,21)\)

\(m = \frac{1}{10}\)

This gives:

\(y = \frac{1}{10}(x - 150) + 21\)

Open bracket

\(y = \frac{1}{10}x - \frac{1}{10}*150 + 21\)

\(y = \frac{1}{10}x - 15 + 21\)

\(y = \frac{1}{10}x + 6\)

Solving (b): Cups of coffees for $56

Substitute 56 for y in \(y = \frac{1}{10}x + 6\)

\(56 = \frac{1}{10}x + 6\)

Subtract 6 from both sides

\(-6+56 = \frac{1}{10}x + 6-6\)

\(50 = \frac{1}{10}x\)

Multiply both sides by 10

\(10 * 50 = \frac{1}{10}x * 10\)

\(10 * 50 = x\)

\(500 = x\)

\(x = 500\)

Hence: 500 cups cost $56

The simplified expression when a polynomial is divided by a monomial is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.

Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S

For the given expression \((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\) factor the common term.

\((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)\)

Cancelling the -4:

\(= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)\)

Hence, the simplified expression is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

Learn more about factors here:

https://brainly.com/question/26923098

#SPJ1

Answer:

x > -20

Step-by-step explanation:

-x < 20

When dividing by negative numbers, flip the inequality.

x > -20

inclusive -> open circle

greater than -> to the right

open circle at -20 going to the right

Answer:

360 miles

Step-by-step explanation: