Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 4).
f(x)=
)
w

Arithmetic Sequence

rows ---------32-n

first term ------------26-----------a

d---------------------------4

Sn = n/2( 2a+(n-1)d)

=32/2 (2*26+(31)4)

=16(52+124)

=16(176)

=2816 seats

If theater has 30 rows of seats, then the number of people that the theater will hold is 2400 people.

To find out how many people the theater will hold, we need to calculate the total number of seats across all 30 rows. Since the number of seats increases by 4 for each successive row, we can treat this as an arithmetic sequence.

The formula to find the sum of an arithmetic sequence is = (n/2) × (first term + last term),

where n = number of terms and the first and last terms are given,

In this case : First term = 22,

Last term = 22 + (30 - 1) × 4 = 22 + 116 = 138,

Number of terms (rows) = 30,

Sum = (30/2) × (22 + 138) = 15 × 160 = 2400;

Therefore, The theater will hold 2400 people.

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Answer:

Step-by-step explanation:

Angle ECB or angle BCE should do it

Answer:

x=7 people

Step-by-step explanation:

x=9-2

Answer:

to find the scale factor for a dilation, we would find the center point of dilation and measure the distance from this center point to a point on the shape from before (preimage) and also the distance from the center point to a point on the shape.

Answer:

I may not be right but I think its C. or D.

Step-by-step explanation:

Sorry i Don't have a good explanation

Answer:

28°

Step-by-step explanation:

1. We can see that ∠GFH has two smaller angles within it: ∠1 and ∠2. Given that m∠GFH is 53° (the whole thing), and m∠2 is 25° (a part of it), we just have to subtract 25 from 53 to get the measure of ∠1.

Therefore, m∠1 = 28°.

Answer:20 mins

Step-by-step explanation:

If its one hour than thats 60 mins which means you have to minus 40.thats is 20

Hope it helps

Answer:

20 Minutes

Step-by-step explanation:

An hour is 60 minutes.

60 - 40 is 20 minutes.

Answer:

Where is the Table?

Step-by-step explanation:

The number of students which prefer action-movies to scary movies are 25 students.

To predict how many more students prefer action movies to scary movies, we calculate difference based on proportion of students who prefer action movies from surveyed group and then apply that proportion to total number of students in school,

Number of students who prefer action movies = 14,

Total surveyed students = 40,

Total school students = 200,

Proportion of students who prefer action movies = (Number of students who prefer action movies) / (Total surveyed students),

Proportion of students who prefer action movies = 14/40 = 0.35,

Predicted number of students who prefer action movies in school = Proportion of students who prefer action movies × Total school students

Predicted number of students who prefer action movies = 0.35×200 = 70,

Predicted number of students who prefer scary movies in the school = (Number of students who prefer scary movies) / (Total surveyed students) × Total school students,

Predicted number of students who prefer scary movies = (9/40)×200 = 45

Difference = (Predicted number of students who prefer action movies) - (Predicted number of students who prefer scary movies),

Difference = 70 - 45 = 25,

Therefore, the correct prediction is that 25 more students prefer action movies to scary-movies.

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The given question is incomplete, the complete question is

Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.

Answer:

Andy : 13 years old and

Jamie: 36 years old

Step-by-step explanation:

Andy = x

Jamie = 3x - 3

In 5 years:

(X+5)+(3x-3+5) = 59

4x + 7 = 59

4x = 59 - 7

x = 52/4

x = 13

Answer:

The smallest integer is 8

Step-by-step explanation:

2( x + 4 ) < 4x - 6

4x - 6 > 2x + 8

2x > 14

x > 7

The smallest integer is 8

Answer:

8x + 13y has to be less than or equal to 47.

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

10-2/10-1=8/9

slope=8/9

Answer:

8/9

Step-by-step explanation:

Here,

(1,2)=(x1,y1)

(10,10)=(x2,y2)

Now,

Slope(m)=(y2-y1)/(x2-x1)

=(10-2)/(10-1)

=8/9

See the picture above for the solution.

All numbers greater or equal to 1

Answer:

A  The data is proportional and the unit rate per package is $8   This is because y= 8x

Step-by-step explanation:

/y relationship is no of packages = 1                                                                          x/ = total cost to ship = 8    = 8/1  = 16/2 = 24/3 = 32/4 means they are all proportional to 8/1 = 8    y = 8x  see graph attached  

Answer: The answer is $20

Multiply 400 by .05 or 5%.

If you wanna know 6 years it would be 536 usd

Explanation:

This would be an compound interest. Meaning that your gain every year would increase exponentially.

The equation to calculate this would be: Kn = K0⋅

(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.

Kn=400⋅

(1+5100)6

Answer:

[tex]3\sqrt{7}[/tex] Is correct answer

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.

Step-by-step explanation:

Answer:

y = [tex]\frac{7}{2}[/tex] & y= - [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact form:

[tex]y = \frac{7}{2} , -\frac{7}{2}[/tex]

Decimal form:

[tex]y = 3.5,-3.5[/tex]

Mixed number form:

[tex]y = 3\frac{1}{2} , -3\frac{1}{2}[/tex]

Answer: 22 people

Step-by-step explanation:

we can solve the problem by setting missing

Answer:

AS=9

Step-by-step explanation:

Answer:

4/8 and 5/10

Step-by-step explanation:

since it is 1/2, take the top number and multiply it by two, 4x2=8 5x2=10 and since they equal to the second or bottom number it is equivalent

Answer:

Step-by-step explanation:

1 5/8 = 13/8

so

5/8 + 8/8

10/8 + 3/8

i could go on forever but.

do ya want to impress ya teacher?

500/800 + 800/800

and

2/4 + 4/4

Answer:

60 cents per hour

Step-by-step explanation:

final price minus starting price is 3 divide by 5 hours to get .60

Answer:

I'm pretty sure that's an angle.

Step-by-step explanation: