an amphitheater was 19 seats in the front row, 22 in the second, 25 in the third, and so on, for 24 rows


how many seats are in the theater?

Answer:

Domain: all integers where n ≥ 1

Step-by-step explanation:

We are given that a geometric sequence has [tex]a_1 = 5[/tex] and the common ratio [tex]r=-3[/tex].

We know that the general form of a geometric sequence is given by:

[tex]a_n=ar^{n-1}[/tex]

Substituting the given values in it to get:

[tex]a_n=5(-3)^{n-1}[/tex]

Now writing it as a function:

[tex]f(n)=5(-3)^{n-1}[/tex]

[tex]f(1)=5[/tex]

So the geometric series starts from n = 1, therefore the domain = n≥1

11.55

sto you multiply sothat you can get the anster

Answer:

The number of cones sold was 88

Step-by-step explanation:

Let

x------> the number of cones sold

y----> the number of sundaes sold

we know that

[tex]1.10x+2.35y=294.20[/tex] ----> equation A

[tex]x+y=172[/tex] ----> equation B

using a graphing tool

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (88,84)

see the attached figure

therefore

The number of cones sold was 88

The number of sundaes sold was 84

Answer:

Nothing further can be done to this.

Step-by-step explanation:

There is nothing further that can be done with this equation.

The expression x^5 Y^6 doesn't simplify further as the bases differ. It means that 'x' is multiplied by itself five times, and 'y' is multiplied by itself six times.

The expression x^5 Y^6 is already in simplest form. Expressed in plain English, this represents 'x' raised to the power of 5, multiplied by 'y' raised to the power of 6. The exponents here denote that we are multiplying 'x' and 'y' by themselves for a specific number of times. For example, 'x' is multiplied by itself five times, and 'y' is multiplied by itself six times, as represented by this expression.

I want to let you know that the exponents are not to be combined in any way because the bases (x and y) are different. In other words, x^5 and Y^6 remain separated in expression. They cannot be simplified further.

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Answer:

0.35 = 35%

Step-by-step explanation:

Move the decimal point two places to the right: 0.35 → 3.5 → 35.

Add a % sign: 35%

Answer 0.35 = 35%

Answer: 35

Step-by-step explanation: move the decimal right two spaces

Answer:

sure

Step-by-step explanation:

unit rates are similar to rates.

rates are : 20/2

and unit rates are very similar: 10/1

unit rates are never 5/4, 6/10, 9/2, or 3/2 because unit rates are always loney and single having the denominator one

ex: 2/1, 4/2, 6/2, 8/2, 10/2

2/1 in the sequence is the only unit rate. and remember there can not be more than one unit rate in a sequence.

plz give me a brainliestttttt

Answer:

Unit Rates are any numbers over one.

For example:

A car is driving 60 miles per hour. So that is a unit rate because it is expressed over one.60/1

Step-by-step explanation:

Answer:

V = 1261 mm2

Step-by-step explanation:

Hello

V = Pi*(r^2)*h

V = Pi*([56]^2)*(128=

V = 1261 mm2

Best regards

The volume of the right circular cylinder is approximately 1,261,852.32 cubic centimeters (rounded to the nearest hundredth).

To find the volume of a right circular cylinder, we use the formula:

V = πr2h

where V is the volume, π is the value of pi (approximately 3.14), r is the base radius, and h is the height. Plugging in the given values:

V = 3.14 * 562 * 128

V ≈ 3.14 * 3136 * 128

V ≈ 3.14 * 401,408

V ≈ 1,261,852.32

Therefore, the volume of the right circular cylinder is approximately 1,261,852.32 cubic centimeters (rounded to the nearest hundredth).

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Answer:

53 miles per hour

Answer:

53 miles

Step-by-step explanation:

Total Distance: 265

Then, take that number and divide by 5. 265/5

= 53

your answer is 1 :) hope this helps

Answer:

It's B) 1

Step-by-step explanation:

(3)(2x)+(3)(−1)=( 1 2 )(4x)+( 1 2 )(−2)+2(Distribute)

6x−3=2x+1

6x−3−2x=2x+1−2x

4x−3=1

4x−3+3=1+3

4x/4 = 4/4

x = 1

i know confusing

Answer:

[tex]9\sqrt{6}[/tex]

Step-by-step explanation:

Multiply the numbers outside of the radicand, which is 3 x 3 = 9.

Then multiply the numbers inside of the radicand, which is 2 x 3 = 6.

Therefore the answer is [tex]9\sqrt{6}[/tex].

Edit:

Is this what the problem looks like?

[tex]3\sqrt{2}[/tex] x [tex]3\sqrt{3}[/tex]

V =pie r2 h

= 22/7 *6*6*18

= 2036.57

a/b=c

By mutiplying both side by b and multiplying both side by 1/c we will get:

b=a/c

Answer:

b = a ÷ c

Step-by-step explanation:

Here,

a ÷ b = c is given

Now, For b

a ÷ b = c

b = a ÷ c

Thus, The answer is b = a ÷ c

-TheUnknownScientist

Answer:

11/15

Step-by-step explanation:

If you convert them to a decimal 11/15 would be more

The answer to this is A and E, W and X, C and P

A is -7

E is 7

These are opposite

W is -5

X is 5

These are opposite

B is -3

C is 3

These are opposite

The answer is A

Answer:

A. A and E, W and X, C and P

Step-by-step explanation:

The opposite of any number (let's call it "x") is a number which, if added to x, results in 0.

Typically is -x, because x + (-x) = x - x = 0

Knowing these, let's see the values that are marked:

A = -7

W = -5

C = -3

B = 1

P = 3

X = 5  

E = 7

The opposite of 7 is -7, so A and E are opposites.

The oposite of 5 is -5, so X and W are opposites

The opposite of 3 is -3, so P and C are opposites.

The opposite of 1 is -1, but -1 is not marked.

The correct answer is the first one.

The area of a circle is found using the equation A = πr^2

r is the radius which is 1/2 the diameter

r = 14 /2 = 7

Area = π7^2

Area = 49π

Using 3.14 for π

Area = 49 x 3.14

Area = 153.86 square inches.  Round the answer as needed.

Final answer:

To find the area of a large round pizza with a diameter of 14 inches, use the formula A = (7 inches), which is half of the diameter, to find the area, resulting in approximately 153.86 square inches.

Explanation:

The area of a circle is calculated using the formula A = case and simplify the expression since the radius has only two significant figures. Utilizing an approximation for pi ( case 3.14), the area can be calculated as follows:

A = (3.14) (7 in) (7 in) approximately 3.14 (49 in²) approximately 153.86 in². Therefore, the approximate area of the pizza is 153.86 square inches.

Find the number of apples in 8 pounds:

8 pounds x 16 ounces per pound = 128 ounces.

Divide total cost by cost for 8 pounds:

168 / 28 = 6

Multiply 6 by 128 ounces:

128 x 6 = 768 total ounces for $168.

Now divide total ounces by 5 ounces per apple:

768 / 5 = 153.6, round up to 154 apples.

Answer:

For $168 you could buy approximately 48 pounds of apples.

Step-by-step explanation:

Answer:

25/216 or 0.1157

Step-by-step explanation:

The probability of getting a 6 is 1/6.  

The probability of not getting a 6 is 5/6

We roll a die 4 times and want 2 sixes, and 2 not sixes.  

We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this...

(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157

The long hand way of solving this is to list the 6 ways we can roll our desired result along with their probabilities...

We could get

6, 6, not 6, not 6      (1/6)(1/6)(5/6)(5/6) = 25/1296

6, not 6, 6, not 6       (1/6)(5/6)(1/6)(5/6) = 25/1296

6, not 6, not 6, 6       (1/6)(5/6)(5/6)(1/6) = 25/1296

not 6, not 6, 6, 6       (5/6)(5/6)(1/6)(1/6) = 25/1296

not 6, 6, not 6, 6       (5/6)(1/6)(5/6)(1/6) = 25/1296

not 6, 6, 6 not 6        (5/6)(1/6)(1/6)(5/6) = 25/1296

There are 6 different way this can happen, each having a probability of 25/196.  We add up the probabilities, getting 150/1296, which reduces to

25/216

Answer:

11.6%

Step-by-step explanation:

[tex]\frac{4!}{2!\left(4-2\right)!}\left(\frac{1}{6}\right)^2\left(\frac{5}{6}\right)^2 = 0.116 = 11.6[/tex]

Answer:   B) (-x, y)

Step-by-step explanation:

If a coordinate is reflected across the y-axis, the y-coordinate stays the same but the x-coordinate changes signs.

Consider (1, 2) as the original point.  Now reflect it across the y-axis.  The new coordinate is (-1, 2). The y-coordinate stayed the same (2) but the x-coordinate changed signs (1 → -1).

If you roll a six sided dice once, each outcome has a 1/6 probability.

This means 4 has a 1/6 probability.

If you roll a dice 1200 times....

1200 × 1/6 = 1200/6 = 200

You would expect to get a 4 200 times.

Answer:

200

Step-by-step explanation:

Divide 1200 by 6.

Answer:Yes may I know what answer you are trying to explain?

Step-by-step explanation:

Answer:

It would be blue and yellow

Step-by-step explanation:

can you put a picture of the problem so i know what you need help with please

unfortunately, there is no chart below, so we can't help

Answer:

answer is 580 sq. ft.

Step-by-step explanation:

The volume of a rectangular prism or cube is: Length × Width × Height

In this case,

- the length of the prism is 2 feet

- the width of the prism is 1.5 feet

- the height of the prism is 1.5 feet

Multiply the above to find the volume: 2 × 1.5 × 1.5 = 4.5 ft³

Keep in mind that volume is represented in cubic units!

[tex]\text{Hey there!}[/tex]

[tex]\text{Formula: v = lwh}[/tex]

[tex]\text{l = length}\\\text{w = width}\\\text{h = height}[/tex]

[tex]\text{L = 2}[/tex]

[tex]\text{W = 1}\frac{1}{2}\text{ also known as 1.5}[/tex]

[tex]\text{H = 1}\frac{1}{2}\text{ also known as 1.5}[/tex]

[tex]\text{1}\frac{1}{2}\times1\frac{1}{2}\text{ = }\frac{3}{2}\times\frac{3}{2}=2\frac{1}{4}[/tex]

[tex]4\frac{1}{2}\times2=4\frac{1}{2}[/tex]

[tex]\boxed{\boxed{\bf{Answer: Fraction\rightarrow4\frac{1}{2}ft^2\ \& Decimal: 4.5ft^2}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

x = 1.56  or x = -2.56

Step-by-step explanation:

From the equation;

x2 +x − 4 = 0

a = 1 , b = 1, and c = -4

x = (-b ± √(b² -4ac))/2a

  = (-1 ± √(1²- 4×1×-4))/2

  = ( -1 ± √(17)/2

  = (-1 ± 4.12)/2

  = (-1 + 4.12)/2 or (-1 - 4.12)/2

  x = 1.56  or x = -2.56

Ratio given 1:2

Let's suppose the ratio as x : 2x

Adding the ratio = 3x

[tex] \frac{x}{3x} \times 120 \\ =40[/tex]

[tex] \frac{2x}{3x} \times 120 \\= 80[/tex]

40 and 80 are in the ratio 1:2 of 120.

Hope it helps!!!

40 and 80 are in the ratio of 1:2 of 120.

Hope this helps!

The volume of cylinder is 235.5 feet³

We know that

Volume of cylinder = πr²h

Putting the values

Volume of cylinder = 3.14* 5² * 3

Volume of cylinder =  235.5 feet³

Answer:

235.5 or 236

Step-by-step explanation:

Mode: the number that occurs the most in a set of data.

Although it's optional, I always like to order the numbers from least to greatest so it makes it easier to see what number repeats more than anything else.

Least to greatest - 40,41,42,43,44,45,46,47,48,49,49

The mode for this set of data is 49. The mode is 49 because 49 is the only number that occurs more than once. No other numbers in this set of data appear twice except 41.

Note:

dont worry about not understanding something! im sure with time and practice youll understand. math may not be your best subject, but youll get the hang of this soon. :')

also, i apologize if this answer is wrong. i havent done this in a while and im not 100% sure on my work accuracy.

Answer:

3.

Step-by-step explanation:

Count the number of 'x' symbols are above each number.

There are:

two 1/6 pieces (total of 2/6)

two 1/3 pieces (total 2/3)

three 1/2 pieces (total 3/2 aka 1 and 1/2)

four 2/3 pieces (total 8/3 aka 2 and 2/3)

one 5/6 piece (total 5/6)

Since we know that halves and thirds can be divided into sixths, we'll have to set all the denominators into sixths by multiplying. The numbers are in the same order as above.

2/6 * 1/1 = 2/6

2/3 * 2/2 = 4/6

1 and 1/2 * 3/3 = 1 and 3/6 (only multiply the fraction if it is a fraction and a whole)

2 and 2/3 * 2/2 = 2 and 4/6

5/6 * 1/1 = 5/6

Next we'll add together all the WHOLE numbers.

1 + 2 = 3

Now add all the fractions. Remember, only add the numerators, the denominator stays the same in adding.

2/6 + 4/6 + 3/6 + 4/6 + 5/6 = 18/6

Simplify the fraction.

18/6 = 3.

Answer:

p²-q²

Step-by-step explanation:

(p+q)×(p-q)

=p×(p-q)+q×(p-q)

=p×p-p×q+p×q-q×q

=p²-p×q+p×q-q²

=p²-q²