Rewrite the equation by completing the square x^2-14x+49=0

Using it's concept, it is found that the probability that the customer also likes pie is of [tex]\frac{2}{7}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that of the 14 students that like cake, 4 also like pie, hence the probability is given by:

p = 4/14 = 2/7.

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Answer:

it's a i think

Step-by-step explanation:

One benefit of attending trade school after high school is to learn practical skills.

A trade school is one which focuses on practical knowledge along with theoretical concepts. In a trade school, they will teach you about the end use of what you are studying.

They provide you with proper practical knowledge in a particular field like welding, machining, forging etc. It is very important to have practical skills along with theoretical subject knowledge.

It increases your chances of being selected by any company and also gives you more opportunities to learn.

Therefore benefit of attending trade school after high school is to learn practical skills.

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Answer: c. to learn a practical skill

Step-by-step explanation:

1 minus StartFraction 9 over 16 EndFraction

This is the same as writing 1 - 9/16

======================================================

Explanation:

9/16 is the fraction 9 over 16

It is a shorthand way of saying 9 squares are shaded out of 16 total.

When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.

------------

This is what happens when you simplify the expression

1 - 9/16

16/16 - 9/16

(16-9)/16

7/16

This shows that there are 7 white squares.

------------

Or if you want, you can think of it like this:

16 squares total, 9 are blue

16-9 = 7 squares are white

7/16 is the fraction of squares that aren't shaded blue.

Answer:

In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.

In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.

In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.

Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.

Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.

So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.

Step-by-step explanation:

The missing dimension of the base is 3 meters

The given parameters are:

Let the missing dimension of the base be w.

So, we have:

V = lwh/3

This gives

22 = 2 * w * 11/3

Multiply both sides by 3

66 = 2 * w * 11

Divide both sides by 22

w = 3

Hence, the missing dimension of the base is 3 meters

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As per the given data, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal.

To reflect the parallelogram CDEF across the line y=2, we need to reflect each vertex across the line.

The line y=2 acts as a mirror, so the distance of each point to the line will remain the same before and after reflection, but the sign of the y-coordinate will change.

The reflection of point (x, y) across the line y=2 can be found by the formula (x, 2 - (y-2)) or (x, 4 - y).

Using this formula, we can find the coordinates of the reflected parallelogram:

- The reflected image of point C(-4,-4) is (-4, 8).

- The reflected image of point D(-2, 0) is (-2, 4).

- The reflected image of point E(6, 1) is (6, 3).

- The reflected image of point F(4, -3) is (4, 7).

Therefore, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

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Answer:

Step-by-step explanation:

Answers:

P(A) = 1/6

P(B) = 5/6

=========================================================

Explanation:

Let's calculate P(A).

Refer to the dice chart below.

We have

There are 3+2+1 = 6 sums that are greater than 9.

This is out of 6*6 = 36 sums total

P(A) = 6/36 = (1*6)/(6*6) = 1/6

----------------------

Now to calculate P(B).

The multiples of 6 in the table are: 6, 12

There are 1+5 = 6 items that are a multiple of 6. This means we have 36-6 = 30 sums that aren't a multiple of 6

P(B) = 30/36 = (5*6)/(6*6) = 5/6

Side note: it's probably coincidence that P(A)+P(B) = 1 in this case.

Answer: use the Pythagorean theorem

if you use the Pythagorean theorem it would be so much easier:)

Step-by-step explanation:

Answer: The solution of x is 2.5

Step-by-step explanation: hope it helps:)

Answer: [tex]x=\frac{5}{2}[/tex]  

Step-by-step explanation:

Simplify the expression:

[tex]-2x+14+10x=34[/tex]

[tex]\left(-2x+10x\right)+14=34[/tex]

[tex]8x+14=34[/tex]

Group all constants on the right side of the equation:

[tex]8x+14-14=34-14[/tex]

[tex]8x=34-14[/tex]

[tex]8x=20[/tex]

Isolate the x:

[tex]\frac{8x}{8}=\frac{20}{8}[/tex]

[tex]x=\frac{20}{8}[/tex]

[tex]x=\frac{5\cdot 4}{2\cdot 4}[/tex]

[tex]x=\frac{5}{2}[/tex]

The [tex]CORRECT[/tex]answer to this solution is: [tex]x=\frac{5}{2}[/tex]

[tex]calderonj4588~:)[/tex]

Answer:

134:346 Add the 33 to 101 to get first number, then total number of parks 346 is the second number, they may end up wanting you to to reduce the fraction.67:143

Answer:

-18

Step-by-step explanation:

Step-by-step explanation:

........ .......... ....

Answer: $54.45

Step-by-step explanation:

      First, we will find the price of one towel.

-> We will divide the cost by the towels bought.

$39.60 / 8 = $4.95

     Now, we can find the price of 11 towels.

-> We will multiply the cost of one towel by 11 to find the total cost.

$4.95 * 11 = $54.45

Answer:

$54.45

Step-by-step explanation:

Given:

Number of towels = 8

Money spent on towels = $39.60

To Find:

What is the price, in dollars, of 11 towel?

Solve:

Since, each towels cost the same amount then we can divide the cost by number of towels.

39.60/8 = 4.95

Thus, Each towel costs $4.95

Then we are trying to find the price in dollars of 11 towels.

Knowing that 1 towels cost $4.95 then 11 towels:

4.95 × 11 = $54.45

Kavinsky

Answer:

b=6.5

Step-by-step explanation:

a²+b²=c²

7.4²+b²=3.6²

b²=3.6²-7.4²

b²=12.96-54.76

b²= -41.8

√b²=√-41.8

b=6.465

b=6.5

Answer:

Question 3: D, 90°

Question 2: D, 84°

Step-by-step explanation:

Answer:

    2. d. 84°

    3. d. 90°

Step-by-step explanation:

Q2

Q3

Answer:

$5,600

Step-by-step explanation:

1. divide 200 by 2 (this gives you the rate for 1 hour of book sales)

2. multiply the answer by 8 hours

3. multiply your answer (800) by $7

4. You solved it! $5,600 is how much money a company would earn if they sold books for 8 hours.

Answer:

Step-by-step explanation:

Step 1

Find how much books the company sells in 8 hours of selling books

To find this, we see that 2 hours = 200 books. Also, 8/2=4. That means that if we multiply 200 by 4, then we will get our total amount of books sold in 8 hours.

200x4=800

800 books sold in 8 hours

Step 2

Find how much money does 800 books equal to get FINAL ANSWER

To find this, we need to know the price of 1 book, the price of one book is 7$, that means that if we do 7$x800books, then we get our FINAL ANSWER

7x800=$5,600

Answer:

students in the drama club: 57

students in the yearbook club: 44

Step-by-step explanation:

101 - 13 = 88

88 / 2 = 44

101 - 44 = 57

44 in the drama club and 57 in the yearbook club

Answer:

50, 25

Step-by-step explanation:

The general pattern expressed by the sequence 800, 400, 200, 100 seems to be the previous number divided by 2. Therefore the next two numbers in this number pattern are most likely 100 / 2 = 50 and 50 / 2 = 25.

Answer:

50 and 25

Step-by-step explanation:

x / 2 is the constant

next number

100/2 = 50

next number

50/2 = 25

Answer:

because measure A and B are supplemantery ,since the measure of $m(A°)+m(B°)=180°$ , then 6z-48+4z+38=180° → 10z=190 → z=19 , therefore

m(B°)=4(19)+38 → m(B°)=114 ,and m(A°)=6(19)-48=66°

Answer:

Cited by 3 — —1.4 p F, ~ +~~• 3*,7 38 4.0 7 h m 0 16 44.20 17 25.10 —0.7 3326~7 ... O—1.2 —1.4 F ~ ,F~ ~ 7.8 38 26.6 m ~ .8 ~5 2~5 44;65 26 2.95 h -4

Step-by-step explanation:i know

Answer:

(2.42,-7.4) and (-1.58, 5.9)

Explanation:

Solve algebraically:

⇒ f(x) = g(x)

⇒ 2x² – 5x– 7 = -4x² + 16

⇒ 2x² - 5x - 7 + 4x² - 16 = 0

⇒ 6x² -5x -23 = 0

Identify : a = 6, b = -5, c = -23

[tex]\rightarrow \sf x = \dfrac{-(-5)\pm\sqrt{(-5)^2 - 4(6)(-2)} }{2(6)} \ = \ \dfrac{5\pm\sqrt{577} }{12} \ = \ 2.42, -1.58[/tex]

Solve for y : 2(2.42)² - 5(2.42) -7  and  2(-1.58)² - 5(-1.58) - 7  = -7.4, 5.9

Coordinates: (2.42,-7.4) and (-1.58, 5.9)

4/5 × 2/3

= (4×2)/(5×3)

=8/15

Answer: Either angle QPO or  angle OPQ

Explanation:

When naming an angle, we always have the vertex as the middle letter. That vertex is P. It's where the two rays are joined.

So we could have the name "angle QPO" or "angle OPQ" since the order of the other letters doesn't matter. All that we care about is P is in the middle.

Answer:

1 m^2

Step-by-step explanation:

A = W * L

1 * 1 = 1

Make the FG perpendicular bisector. Then draw the square using the perpendicular bisector's points of intersection with the circle, as well as points F and G is the correct procedure. Option C is correct.

The procedure is as follows:

1. A circle's diameter is drawn.

2. Using the approach given in the perpendicular bisector of a segment, draw a perpendicular bisector of the diameter. This is also the circle's diameter.

3. The vertices of the inscribed square are the four points on the circle that result.

The summary describes the basic process for constructing a square inscribed in the circle is to create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.

Hence,option C is correct.

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Answer: C

Step-by-step explanation:

C.

Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space for the given situation is {CC, AC, CA, AA}.

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.

For the given situation, Let Buying a classical ticket be represented by T, while buying an autograph event ticket is represented by S.

Therefore, The sample space for buying either a classic ticket T or an autograph event ticket S from the table = {TT, TS, ST, SS}.

Hence, the sample space for the given situation is {TT, TS, ST, SS}.

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Answer:

Graph B

Step-by-step explanation:

Remember that for a function to have an inverse, the function must be 1-to-1. The two functions must also be symmetrical about the line y=x, which is apparent in the second graph.

Answer:

I'm pretty sure it is (c)

Step-by-step explanation:

bc the angle is not read in the right order

Answer:

6 meters × 4 meters = 24 square meters

Step-by-step explanation:

to find the area of a rectangle you do the length times the width

the length is 6m and the width is 4m so you times them together which gives you 24m²