Find the 22nd term. 3, 7.5, 12, 16.5

Answer:

I would assume the 8-pack to be the answer because:

Step-by-step explanation:

8 ÷ 7.92 = 1.01

12 ÷ 11.64 = 1.03

1.01 < 1.03

Answer:

I believe the better buy is the twelve pack.

Step-by-step explanation:

If you look, 7.92 is closer to 8, which almost makes it 1 dollar per soda, where the 11.64 is farther from twelve. :) i hope this helps you!

Answer:

noob

Step-by-step explanation:

lol imagine not knowing, u noob

By substitution, we will see that the solution of the system is:

x = 13, y = 11, z = -1

The correct option is D.

Here we have a system of 3 equations:

x + y + 8z = 16

2x + 7z = 19

4x - 4y + 4z = 4

I will solve it by substitution, first, let's simplify the equations. Here we can divide the third equation by 4 so we remove all the common factors, then the system becomes:

x + y + 8z = 16

2x + 7z = 19

x - y + z = 1

Now, I will isolate x on the second equation:

x = (19 - 7z)/2 = (19/2) - (7/2)*z = 9.5 - 3.5*z

Now we can replace that on the other two equations:

(9.5 - 3.5*z) + y + 8z = 16

(9.5 - 3.5*z) - y + z = 1

Rewriting the system we get:

y + 4.5z = 6.5

-y - 2.5z = -8.5

Now we can isolate y on the first equation:

y = 6.5 - 4.5z

Replacing that on the other equation we get:

-(  6.5 - 4.5z) - 2.5z = -8.5

-6.5 + 4.5z - 2.5z = -8.5

2z = -8.5 + 6.5 = -2

z = -2/2 = -1

Then the value of y is:

y = 6.5 - 4.5z = 6.5 - 4.5*(-1) = 11

And the value of x is:

x = 9.5 - 3.5*z = 9.5 - 3.5*(-1) = 13

So the solution of the system is:

x = 13, y = 11, z = -1

The correct option is D.

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Answer: 1.35

Step-by-step explanation:

if:

6 oranges cost............................0.90 dollars

9 oranges will cost....................................?

(9*0.90)/6=1.35 dollars

The best way to approach a word problem like this

is to break it down into pieces, so we can understand it fully.

In this problem, we have a number, which we don't know.

We can use any variable to represent it.

So let's use the variable n to represent it.

"Two less than three times a number" means 3n - 2.

A common mistake is for students to put 2 - 3n.

However, the word "less than" switches the order around.

So we have 3n - 2 = 19.

Solving from here, we add 2 to both sides to get 3n = 21.

Now divide both sides of the equation by 3 and we have n = 7.

So the number is 7.

Answer:

there is a website called desmos and you can type all of that in and it can graph it, hope that helps(: and its free

Answer:

para lara

Step-by-step explanation:

pere culu ana lletere

Answer:

9

Step-by-step explanation:

Answer:

$63.92

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

6x+12 = 9x-3

3x = 15

x= 5

Answer:

The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].

The expression of the axis of symmetry is [tex]x = 3[/tex].

The y-intercept of the function is -26.

Step-by-step explanation:

The vertex form of the second order polynomial is defined by the following expression:

[tex]y-k = C\cdot (x-h)^{2}[/tex]  (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]h,k[/tex] - Coordinates of the vertex, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless.

Let [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex], then we proceed to present the produre for the determination of the vertex form:

1) [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex] Given

2) [tex]y = (-1)\cdot (2\cdot x^{2})+(-1)\cdot (-12\cdot x) + (-1)\cdot (26)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]

3) [tex]y = (-1)\cdot (2\cdot x^{2}-12\cdot x +26)[/tex] Distributive property

4) [tex]y = [(-1)\cdot (2)]\cdot (x^{2}-6\cdot x +13)[/tex] Associative and distributive properties

5) [tex]y = (-2)\cdot [(x^{2}-6\cdot x+9)+4][/tex] [tex](-a)\cdot b = -a\cdot b[/tex]

6) [tex]y = (-2) \cdot [(x-3)^{2}+4][/tex] Perfect square trinomial

7) [tex]y = (-2)\cdot (x-3)^{2}+4\cdot (-2)[/tex] Distributive property

8) [tex]y = (-2)\cdot (x-3)^{2}+(-8)[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]

9) [tex]y +8= (-2)\cdot (x-3)^{2}[/tex] Compatibility of addition/Existence of the additive inverse/Modulative property/Result.

The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].

The axis of symmetry is a line perpendicular to axis in which the square component of the vertex form is set. The expression of the axis of symmetry is [tex]x = 3[/tex].

The y-intercept is the value of the polynomial when [tex]x = 0[/tex], then, the value is:

[tex]y = -2\cdot (0)^{2}+12\cdot (0) -26[/tex]

[tex]y = -26[/tex]

The y-intercept of the function is -26.

Answer:

,,,,,

Step-by-step explanation:

Answer:

29/4

Step-by-step explanation:

4x=29

x=29/4

The value of x and the solution of the equation is 7.25.

An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.

The solution of 4x+5 = 34 is

4x = 34-5

4x = 29

x = 29/4

x = 7.25

The value of x and the solution of the equation is 7.25.

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Answer:

C

Step-by-step explanation:

Answer:

a) The angular velocity is 0.4π radians/second ⇒1.25664 radians/second

b) The wheel travels 124.4071 meters in 5 minutes ⇒ 39.6π meters

Step-by-step explanation:

The angular velocity ω = 2 π n ÷ t, where

The distance that moving by the angular velocity is d =  ω r t, where

a)

∵ A wheel completes 12 revolutions in 1 minute

∴ n = 12

∴ t = 1 minute

→ Change the minute to seconds

∵ 1 minute = 60 seconds

∴ t = 60 seconds

→ Substitute n and t in the rule above

∵ ω = 2 (π) (12) ÷ 60

∴ ω = 24π ÷ 60

∴ ω = 0.4π radians/second

∴ The angular velocity is 0.4π radians/second ⇒1.25664 radians/second

b)

→ To find the distance in 5 minutes multiply ω by the radius by the time

∵ The wheel has a radius of 33 cm

∴ r = 33 cm

→ Change it to meter

∵ 1 m = 100 cm

∴ r = 33 ÷ 100 = 0.33 m

∵ t = 5 minutes

→ Change it to seconds

∴ t = 5 × 60 = 300 seconds

→ Substitute them in the rule of the distance above

∵ d = 0.4π (0.33) (300)

∴ d = 39.6π meters ⇒ 124.407 meters

∴ The wheel travels 124.4071 meters in 5 minutes ⇒ 39.6π meters

Answer:

9 rectangles

Step-by-step explanation:

two squares form a rectangle.

18 ÷ 2 = 9

Answer:

C I think

Step-by-step explanation:

Answer:

The value of f(g(-2)) is 12.

Step-by-step explanation:

We'll start by solving g(-2):

[tex]g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6[/tex]

Now we can take that value and plug it into function f:

[tex]f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12[/tex]

Alternatively, you can work out a new single function that in itself describes f(g())

[tex]f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8[/tex]

and try plugging -2 into the new function

[tex]= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12[/tex]

The value of f(g(-2)) for the given expression will be 12.

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

And,

g(x) = x² + 2

Now,

For, x = -2,

i.e.

g(x) = x² + 2

Now,

Substituting the value of x = -2,

g(-2) = (-2)² + 2

On solving,

We get,

g(-2) =  6

Now,

For, f(g(-2)),

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

i.e.

Substituting the value of g(-2) =  6,

i.e.

f(g(-2)) = [tex]\frac{-1}{2} (g(-2)^2)[/tex] + 5(g(-2))

i.e.

f(g(-2)) = [tex]\frac{-1}{2} *6^2[/tex]  + 5 * 6

On solving,

We get,

f(g(-2)) = -18 + 30

i.e.

f(g(-2)) = 12

So, the value of f(g(-2)) for the given expression is 12.

Hence, we can say that the value of f(g(-2)) for the given expression will be 12.

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Answer:

b

Step-by-step explanation:

Answer:

∠ XWZ is a right angle.

Step-by-step explanation:

See the given diagram.

In triangle WXZ, WY is an altitude.

So, ∠ WYZ = ∠ XYW = 90°

Now, given that ∠ ZWY = ∠ WXY.

Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)

⇒  ∠ ZWY + ∠ YWX =  90° {Since, ∠ ZWY = ∠ WXY}

⇒ ∠ XWZ = 90°

Therefore, the angle XWZ is right angle. (Answer)

Answer:

B. XWZ is a right angle

Step-by-step explanation:

edge 2020 plz vote brainliest

Answer:

20 problems

Step-by-step explanation:

Okay, so 100/15 is 6 2/3. That means we need to multiply 3 by 6 2/3. When we do this, we get 60/3, which we can simplify to 20. That means there are 20 problems on the test. I hope this helps!