(1 + 9.8k)(2.8) simplified

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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:

Assuming I'm one of the 36 English speakers and the other 24 speak Spanish for illustration purposes.  The problem can be modeled as 59 marbles with 35 E and 24 S marbles as N = 59 possible outcomes = n(E) + n(S) = 35 + 24.

So I reach into the pile of marbles (on the beach) and the probability that it's p(E) = n(E)/N = 35/59 = 0.593220339 when I meet the one person. ANS

I assume I remember that first person; so I remove him from the marbles (by avoiding him on the beach) and now my probability is p(E and E) = n(E)/N * n(E)-1/(N - 1) = 35/59*34/58 = 0.347749854 ANS

Following the same logic p(E and E and E) = 35/59*34/58*33/57 = 0.201328863 ANS

This last one is different from the first three.  This one is p(E >= 1|4 attempts).  We can trace out a probability tree to identify those branches that contain at least one E event.  So:

EEEE p() = 35/59 * 34/58 * 33/57 * 32/56 =  

EEES p() = 35/59 * 34/58 * 33/57 * 24/56 =

EESE p() = 35/59 * 34/58 * 24/57 * 33/56 =

ESEE p() = 35/59 * 24/58 * 34/57 * 33/56 =

SEEE p() = 24/59 * 35/58 * 34/57 * 33/56 =

EESS p() = 35/59 * 34/58 * 24/57 * 23/56 =

ESES p() = 35/59 * 24/58 * 34/57 * 23/56 =

SEES

SESE

SSEE

ESSS  And so on, but...a big BUT...why do all this when

SESS

SSES

SSSE

SSSS

p(E>=1|4) = 1 - p(S and S and S and S) = 1 - 24/59 * 23/58 * 22/57 * 21/56 = 0.976652619   ANS.  In other words we find the probability of not meeting an Englishman and take 1 minus that value to find the probability of meeting at least one.

00

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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:

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!!!

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.

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Answer:

The answer is B got it right :)

Step-by-step explanation:

Answer:

X=8 1/13

Y=31 11/13

Step-by-step explanation:

Answer:

x = 15

y = 63

Step-by-step explanation:

[tex](9x - 7) \degree + (4x - 8) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ (9x - 7 + 4x - 8) \degree = 180 \degree \\\\ (13x - 15) \degree = 180 \degree \\ \\ 13x - 15 = 180 \\ \\ 13x = 180 + 15 \\ \\ 13x = 195 \\ \\ x = \frac{195}{13} \\ \\ x = 15 \\ \\ (2y + 2) \degree = (9x - 7) \degree \\ (interior \: alternate \: \angle s) \\ \\ (2y + 2) \degree = (9 \times 15 - 7) \degree\\ \\ (2y + 2) \degree = (135- 7) \degree\\ \\ (2y + 2) \degree =128 \degree \\ \\ 2y + 2 = 128 \\ \\ 2y = 128 - 2 \\ \\ 2y = 126 \\ \\ y = \frac{126}{2} \\ \\ y = 63[/tex]

Answer:

2

Step-by-step explanation:

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.

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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:

Step-by-step explanation:

a relation that is not a function

Answer:

bbbbbb

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbb

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:C

Step-by-step explanation:

Answer:112

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

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!

The unit price in cents per ounce will be 17 cents / ounce.

The cost of the 6 ounce frozen orange juice is given as:

Cost = $ 1.02

We know that:

$ 1 = 100 cents.

So, by using multiplication, we get that:

$ 1.02 = 1.02 × 100 cents

$ 1.02 = 102 cents.

Now, Number of ounces = 6 ounces

Unit price in cents per ounce = 102 cents / 6 ounce

Unit price in cents per ounce = 51 cents / 3 ounce

Unit price in cents per ounce = 17 cents / ounce

Therefore, the unit price in cents per ounce will be 17 cents / ounce.

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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:

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:

a) The stone takes approximately 6.704 second to reach the ground.

b) The stone takes approximately 6.704 second to reach the ground.

c) The stone hits the ground at a velocity of -215.695 meters per second.

Step-by-step explanation:

a) The stone experiments a free fall, which is a uniform accelerated motion due to gravity and in which effects from air friction and Earth's rotation are negliglble. Then, the vertical distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:

[tex]y = y_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (1)

Where:

[tex]y_{o}[/tex] - Initial height of the stone, measured in meters.

[tex]v_{o}[/tex] - Initial velocity of the stone, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

If we know that [tex]y_{o} = 723\,ft[/tex], [tex]v_{o} = 0\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:

[tex]y = 723 -16.087\cdot t^{2}[/tex] (2)

b) If we know that [tex]y = 0[/tex], then the time taken by the stone to reach the ground is:

[tex]723-16.087\cdot t^{2} = 0[/tex]

[tex]t = \sqrt{\frac{723}{16.087} }\,s[/tex]

[tex]t \approx 6.704\,s[/tex]

The stone takes approximately 6.704 second to reach the ground.

c) The function velocity is found by differentiating (2) once:

[tex]v = -32.174\cdot t[/tex] (3)

If we know that [tex]t \approx 6.704\,s[/tex], then the velocity when it hits the ground is:

[tex]v = -32.174\cdot (6.704)[/tex]

[tex]v = -215.695\,\frac{m}{s}[/tex]

The stone hits the ground at a velocity of -215.695 meters per second.

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

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

Question should be cos A ÷ sec A

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]

the calculator but I think it might be #143000

Answer:

sale price is therefore $300.30

Step-by-step explanation:

100% - 30% = 70%

0.70 * $429 = 300.30

The sale price is therefore $300.30

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Answer:

HL

Step-by-step explanation:

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