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jarptica [38.1K]

3 years ago

14

Fast I will give brainlist The total number of seats in a movie theater is calculated by adding the area of the upper section gi

ven by 8x? and the area of the
lower section given by 6x2. The theater plans to add an addition of front row seats given by 4x for a total of 138 seats. Which
equation could be used to solve for the number of seats in the front row addition?
A
8x2 + 6x2 + 4x = 138
BY
8x2 + 6x2 - 4x = 138
8x2 - 6x2 + 4x = 138
D)
8x2 - 6x2 - 4x = 138

1 answer:

Blizzard [7]3 years ago

5 0

Answer:

(888)

Step-by-step explanation:

okay u stupi if u ont kno jkjk i ont kno byee

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What is the standard form equation of an ellipse that has vertices (18,1) and (−10,1) and co-vertices (4,14) and (4,−12)?

viktelen [127]

Answer: $\frac{(x-4)^2}{196} +\frac{(y-1)^1}{169} =1$

Step-by-step explanation:

You first need to determine if the ellipse is horizontal or vertical, which can be found by the length of the major axis.

The vertices are at (18,1) and (-10,1). The distance is 28 units. (horiz)

The co-vertices are at (4,14) and (4,-12) The distance 26 units (vert)

The major axis is horizontal, so the standard form of the ellipse is

$\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2} =1$ where (h,k) are the coordinates of the center.

To find the center, find the midpoint of the major axis $(\frac{x1+x2}{2} ,\frac{y1+y2}{2} )$

The center is at (4,1)

Since the major axis is 2a, a would be 28 divided by 2=14 squared : 196

The minor axis is 2b, so b would e 26/2=13 squared: 169

Inserting the center and a,b values into the standard form eq:

$\frac{(x-4)^2}{196} +\frac{(y-1)^1}{169} =1$

hope this helps.

6 0

2 years ago

-14+7-9r+13r someone please helpp !

JulsSmile [24]

Answer:

4r-7

Step-by-step explanation:

-14+7-9r+13r

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4 0

3 years ago

Read 2 more answers

Robinson's Doughnut Factory produces 18,000 doughnuts every day. They

Nadusha1986 [10]

Answer:

1,500 doughnuts

Step-by-step explanation:

Divide 18,000 by 12 to find how many will be loaded on each one:

18,000/12

= 1500

So, 1,500 doughnuts will be loaded on each truck

8 0

4 years ago

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

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3 years ago

A supermarket sells corn flakes for $3.60 per box. If the markup on the cereal is 30%, how much did the supermarket pay for each

Alexxx [7]

Answer: 70

Step-by-step explanation:

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3 years ago