Amelia fills a bucket with 3.5 gallons of water. A gallon of water is approximately 8.34 pounds. What is the weigh, in pounds, of the bucket?​

9514 1404 393

Answer:

  y = -1/4x^2 -3/2x +3/4

Step-by-step explanation:

You know that vertex form is ...

  y = (1/(4p))(x -h)^2 +k

for a focus-vertex distance of p and a vertex of (h, k).

Here, the focus-vertex distance is 2-3 = -1 (difference of y-coordinates), and the vertex is (h, k) = (-3, 3). This means the vertex form equation is ...

  y = -1/4(x +3)^2 +3

Expanding the square gives ...

  y = -1/4(x^2 +6x +9) +3

  y = -1/4x^2 -3/2x +3/4

_____

Additional comment

The square of a binomial is ...

  (x +a)^2 = x^2 +2ax +a^2

Explanation:

(Sin A/ secA) × ( sec A / cos A) = Sin A / cos A = tan A

Question should be cos A ÷ sec A

Answer:

B

Step-by-step explanation:

Answer:

[tex]A = \frac{C - By}{x}[/tex]

Step-by-step explanation:

Given

[tex]Ax + By = C[/tex]

Required

Solve for A

The question implies that we make A the subject of the formula.

Start by subtracting By from both sides of the equation by x

[tex]Ax + By - By= C - By[/tex]

[tex]Ax = C - By[/tex]

Divide both sides by x

[tex]\frac{Ax}{x} = \frac{C - By}{x}[/tex]

[tex]A = \frac{C - By}{x}[/tex]

Solved

Answer:

45

Step-by-step explanation:

Let the three quantities be x, y and z.

[tex] \because \: average = \frac{sum \: of \: quantities}{no \: of \: quantities} \\ \\ \therefore \: 15 = \frac{x + y + z}{3} \\ \\ 15 \times 3 = x + y + z \\ \\ \huge \purple{ 45 = x + y + z}[/tex]

Answer:

олвововововлвлвлвлвлвлввлвлв

Answer:

[tex]\begin{array}{ccc}&10&&&\Sigma&\frac{2n}{4n + 1}&&n=1&\end{array}[/tex]

Answer:

Option D

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph attached,

Since, the given line passes through two points (-3, 0) and (0, 2),

Slope of the line = [tex]\frac{2-0}{0-(-3)}[/tex]

                           = [tex]\frac{2}{3}[/tex]

y-intercept of the line is the point of intersection of the line and y-axis.

Therefore, y-intercept of the line given in the graph is,

y = 2 units

Option D is the answer.                    

Answer:

no because its supposed to be 24j-36

Step-by-step explanation:

so basically im trying to say is that they did the problem wrong.

Answer:112

Step-by-step explanation:multiply and divide for your answer

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

HL

Step-by-step explanation:

In both triangle, hypotenuse and one leg is congruent. So, HL congruent

Answer:

Step-by-step explanation:

If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?

f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15

f(1) = 2 - 15 + 22 + 15

f(1)= 24.

No the result is not zero. So x - 1 is not a factor.

However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.

The numbers that do make this zero are -0.5, 3, 5

Which mean that the factors are (2x+1)(x-3)(x - 5)

Answer:

bbbbbb

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

The container can hold 22 gallons of water.

Step-by-step explanation:

Let 'g' be the number of gallons a container can hold

Given that 11 gallons of water have been added to the container.

Thus, the equation becomes

[tex]\frac{2}{3}g-\frac{1}{6}g=11[/tex]

Multiply by LCM 6

[tex]\frac{2}{3}g\cdot \:6-\frac{1}{6}g\cdot \:6=11\cdot \:6[/tex]

[tex]4g-g=66[/tex]

[tex]3g=66[/tex]

Divide both sides by 3

[tex]\frac{3g}{3}=\frac{66}{3}[/tex]

[tex]g=22[/tex]

Therefore, the container can hold 22 gallons of water.

Happy Holidays! :)

He swapped the Subtraction Property of Equality and the Multiplication Property of Equality.

The proper steps in order would be as shown:

3 + x / 2 = 10       Given equation

x / 2 = 7               Subtraction Property of Equality (-3 from both sides)

x = 14                    Multiplication Property of Equality (x2 on both sides)

Answer:

There are no solutions please mark brainliest

Step-by-step explanation:

Answer:

B. this equation has no solution

Step-by-step explanation:

distribute the 3

12x-6=12x

get the ex on one side

-6=0

-6 does not equal 0

Answer: bagles: 200 muffins: 164

Step-by-step explanation:

Answer:

sin(R) = 12/13

tan(T) = 5/12

Step-by-step explanation:

Answer:

C. (2,–1)(7,–1),(2,11)

Step-by-step explanation:

I am taking the exam right now and Im actually a genius!!!

Answer:

Step-by-step explanation:

If you graph both the focus and the directrix you will see that the directrix is below the focus...12 units below to be exact. The focus is on the vertical line x = 4, so the vertex also has an x coordinate (which is actually h since h and k represent the vertex) of 4. The vertex is exactly halfway between the focus and the directrix, so that means that the vertex is at (4, 0). h = 4, k = 0. The standard form for this parabola (we know it opens upwards since the parabola ALWAYS wraps itself around the focus and is directed away from the directrix) is:

[tex](x-h)^2=4p(y-k)[/tex]

p is the number of units between the focus and the vertex, or the vertex and the directrix (which is the same number of units since the vertex is smack dab in the middle of them!). That means that p = 6. Filling in 6 for p, 4 for h, and 0 for k we have:

[tex](x-4)^2=4(6)(y-0)[/tex] and simplify to

[tex](x-4)^2=24y[/tex] which is the first choice you're given.

The equation that shows the parabola when parabola has the focus at (4, 6) and the directrix y = –6 should be considered as the (x – 4)2 = 24y.

In terms of mathematics, a parabola represent the plane curve  in which there is the mirror-symmetrical and should be made of U-shaped.

Since there has the focus at (4, 6) and the directrix y = –6

So the first equation should be considered.

Learn more about parabola here: https://brainly.com/question/8063993

Answer: 102

Step by Step Explanation:

5y+11=8y-13

-8      -8y

-3y+11=-13

     -11  -11

    3y = -24 = 8           y=8

    3y     3y

5(8)+11=51

Multiple 51 times 2 and you're answer will be the following.

Answer:

28

Step-by-step explanation:

i just divided 448 and 16 and got that, om on that same question

here is how to divide that so you know on  your own

Step 1:

Start by setting it up with the divisor 16 on the left side and the dividend 448 on the right side like this:

 1 6 ⟌ 4 4 8

Step 2:

The divisor (16) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 1 6 ⟌ 4 4 8

Step 3:

Multiply the divisor by the result in the previous step (16 x 0 = 0) and write that answer below the dividend.

       0    

 1 6 ⟌ 4 4 8

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 1 6 ⟌ 4 4 8

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (4) like this:

       0    

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

Step 6:

The divisor (16) goes into the bottom number (44), 2 time(s). Therefore, put 2 on top:

       0 2  

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

Step 7:

Multiply the divisor by the result in the previous step (16 x 2 = 32) and write that answer at the bottom:

       0 2  

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

       3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (44 - 32 = 12) and write the answer at the bottom.

       0 2  

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2  

Step 9:

Move down the last digit of the dividend (8) like this:

       0 2  

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2 8

Step 10:

The divisor (16) goes into the bottom number (128), 8 time(s). Therefore put 8 on top:

       0 2 8

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2 8

Step 11:

Multiply the divisor by the result in the previous step (16 x 8 = 128) and write the answer at the bottom:

       0 2 8

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2 8

       1 2 8

Step 12:

Subtract the result in the previous step from the number written above it. (128 - 128 = 0) and write the answer at the bottom.

       0 2 8

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2 8

     - 1 2 8

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 448 divided by 16 calculated using Long Division is:

28

0 Remaind

The algebraic equation representing the given statement is

2(x + 5) = 40.

We have,

Let's translate the given statement into an algebraic equation.

The sum of a number (let's call it x) and five can be expressed as (x + 5).

Twice the sum of a number and five is equal to 40, so we can write it as:

2(x + 5) = 40

Therefore,

The algebraic equation representing the given statement is

2(x + 5) = 40.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

31/7

Step-by-step explanation:

8x+1 = 15x-30

31 = 7x

(31/7) = x

Answer:

8x + 1 =3x-6

--------

5

8x+1=15x-30

8x-15x= -30-1

-7x=-31

x=31

---

7

x=4.42

Answer:

no, I believe the correct answer would be D. (-4, 4)

Answer:

(-4, 4)

Step-by-step explanation:

Even though I don't see it explained anywhere, it seems that what looks like the coordinates of two points is really the coordinates of the first point and the translation.

That means that (-9, 6) is the original point.

(5, -2) is the translation which is a translation of 5 in x and a translation of -2 in y.

Start with (-9, 6)

Apply the translation to x and y (-9 + 5, 6 + (-2))

You get (-4, 4)

Answer: (-4, 4)

Answer:

would it be 40?

Step-by-step explanation:

Answer:

The answer is either 1.0022727272727274, 40, or 1.8375000000000001.

Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!

Answer:

True is correct

Step-by-step explanation:

Answer:C

Step-by-step explanation: