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A research group surveyed 150 students. The students were asked how often they go to the movies and whether they prefer action movies or comedies. Their responses are summarized in the following table.

Answer:

a function is a rule or correspondence by which each element x is associated with a unique element y.

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The dimensions of the kitchen are 11m × 8m.

In geometrical mathematics, a polygon with four sides is referred to as a quadrilateral, while a quadrilateral with two opposed, parallel, and equal sides is referred to as a rectangle.

A rectangle has four equal-sized angles. There are four angles in a rectangle.

A rectangle has 90° angles on all sides.

The rectangle's diagonal is the separation or length of a line segment that connects any two opposed vertices.

Let l and w represent the length and breadth of the rectangular kitchen, respectively.

we know that area of a rectangle = length × width

perimeter of a rectangle = 2(l ₊ b)

Given that the rectangular kitchen has an area of 88 m².

A = 88 m²

l × w = 88 m² ....eq(1)

The perimeter of the rectangle is 38 m.

Perimeter (P) = 38 m

2(l+w) = 38 m

l+w = 19 m

l = 19 - w .....eq(2)

substitute eq(2) in eq(1).

l × w = 88 m²

(19 - w)w = 88

19w - w² = 88

-w²+19w-88 = 0

w²-19w+88 = 0

By factorization method, we get:

w²-11w-8w+88 = 0

w(w-11)-8(w-11) = 0

(w-11)(w-8)

w = 11 or w = 8

If w = 11,

then l = 19-11 = 8m

and If w = 8m

then, l =  19-8 = 11m

so the dimensions are 11m×8m

Hence we get the dimensions of the kitchen are: 11m×8m

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The minimum electric rate in cents per kwh for which the 12-year total cost will be less for the first freezer is 8.61 cents

Let x =  minimum electric rate (Cents/kWh)

Total months in 12 years is 12*12 = 144 m

1st freezer

Total cost over 12 years is

623.95 (cost) + (90 kWh/m)*(144 m)(x/100 $/kWh)

= 623.95 + 129.6x

2nd freezer

Total cost over 12 years is

500 + 100*144*(x/100)

= 500 + 144x

For the 1st freezer to cost less over 12 years,

623.95 + 129.6x < 500 + 144x

123.95 < 14.4x

8.61 < x

The minimum rate is 8.61 cents per kWh

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Answer:

14 is an obtuse angle

Step-by-step explanation:

An obtuse angle is an angle that is bigger than 90° degrees but doesn’t reach a straight line at 180°.

Answer:

please solve this question 4²×3³×(-1)¹²²

Answer:

y=2

Step-by-step explanation:

6 times y and six times 3

6y+18=30

    -18  -18

6y=12

divide both sides by 6 and you will get y=2

The probability of rolling an odd number and then rolling a 2 is 1/12.

Option C is true.

What is Probability?

Probability is measure of the likelihood of an event to occur.

Given that;

A six - sided dice is rolled twice.

The sides are labelled 1-6.

Now,

In a dice odd number are 1, 3, 5

Hence, The probability of rolling an odd number = 3/6

And, The probability of rolling a 2 = 1/6

So, The probability of rolling an odd number and then rolling a 2

= 3/6 x 1/6

= 1/12

Hence, The probability of rolling an odd number and then rolling a 2 is 1/12.

Option C is true.

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Answer:

this question is impossible!11!1!!!!

Step-by-step explanation:

none

Answer: 0.51639777..

Step-by-step explanation:

Answer:

4(16x+15)

Step-by-step explanation: They both have the common factor of 4

Answer:

-27

here is the answer for you

32 Quartz to 48 Quartz is 2/3 Quartz

The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters. These conversion values are as below :

Mathematically, we can write :

          1 quart = 32 fluid ounces

          1 quart = 0.94 US liters = 4 cups (approx.)

According to given question,  32 Quartz to 48 Quartz is the ratio of 32 and 48 Quartz value.

Mathematically, we can write :

[tex]\frac{32 \ Quartz }{48 \ Quartz}\\ \\= \frac{2 \ Quartz}{3 \ Quartz} \\\\or, = \frac{2}{3} Quartz[/tex]

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Answer: 4^5=1024

Step-by-step explanation:

4x4x4x4x4=1024

Answer:

1024!

Step-by-step explanation:

Answer:

bat pa kasi pinapangita ang ex

Using translation concepts, we have that:

4. The type is f(x + k), with k = 3, and a horizontal shift.

5. The type is kf(x), with k = 5 and a vertical stretch.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:

The type is f(x + k), with k = 3, and a horizontal shift.

For graph 5, we have that for each value of x, g(x) = 5f(x), hence:

The type is kf(x), with k = 5 and a vertical stretch.

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Answer:

[tex]k = -\frac{7}{3}[/tex]

Step-by-step explanation:

Given :

p(x) = 2x² − 3kx + 5

Since, -1 is a zero for p then :

p(-1) = 0

Solving the equation p(-1) = 0 for k :

p(-1) = 0

⇔ 2(-1)² − 3k(-1) + 5 = 0

⇔ 2 + 3k + 5 = 0

⇔ 3k = -5 - 2

⇔ 3k = -7

⇔ k = -7/3

NOTE :

If -1 is a zero of p

[tex]\Longrightarrow k = -\frac{7}{3}[/tex]

[tex]\Longrightarrow p(x) = 2x^2 - 3(\frac{-7}{3}) x + 5\\\Longrightarrow p(x) = 2x^2+ 7x + 5[/tex]

Bacterial growth is expressed by an exponential function with the formula of [bacteria]=ae^[time]b

Answer:

v = 4.875

Step-by-step explanation:

Anytime you have a proportion (a fraction = a fraction)

you can cross multiply to change the equation (get rid of the fractions!) and solve.

see image.

3/v = 8/13

8v = 39

v = 4.375

see image.

Answer:

30,70,110

Step-by-step explanation:

12. acute

13. acute

14. obtuse

Every day that John rides on the bus, he loses $3

if he rides on the bus for 17 days, it can be solved like this
(3 x 2)17 = 102$
The change is John's money is -$102 over a span of 17 days

Hope this helped

That's great for Rachel! I would love a gift card as well where is this at?

Answer:

[tex]5x^2y^5z[/tex]

Step-by-step explanation:

Hello!

Expand the cube root:

Use exponent rule:

The answer is [tex]5x^2y^5z[/tex].

Answer:

10 squared is 100 so 10 squared is greater than 5.

Step-by-step explanation:

Hope its corrects and it helps you!

Step-by-step explanation:

bayot ka dong no plbading bading sya bayot

Based on the accounts and the benefits they offer, Kate should choose B. College Savings, because she meets the minimum deposit and it earns more interest

Kate should pick the college savings account for two reasons with the first being that the $5,000 she wants to deposit meets the minimum deposit amount of $1,000.

The second reason is that the account earns more interest than other account.

Even though it is simple interest, the 9% is still much higher than the compound interest of 1% that the regular account gives.

Kate should choose college savings.

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The perimeter of the rectangle ABCD is 13.7 inches.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

⇒ sin30° = AD/AC

⇒ AD = AC(sin30°) = 5(1/2)

⇒ AD = 2.5 inches

⇒ sin60° = CD/AC

⇒ CD = AC(sin30°) = 5(√3/2)

⇒ CD = 4.33 inches

The perimeter of rectangle ABCD = 2(AD) + 2(CD)

The perimeter of rectangle ABCD = 2(2.5) + 2(4.33) = 5 + 8.66

Rounded to the nearest tenth

The perimeter of rectangle ABCD = 13.66 ≈ 13.7 inches

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The question seems to be incomplete the correct question would be

Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?

rectangle ABCD with diagonal AC, labeled as measuring 5 inches, angle BAC measuring 30 degrees, angle BCA measuring 60 degrees, angle DCA measuring 30 degrees, and angle DAC measuring 60 degrees.