There are 28 seats in the front row of a theater. Each successive row contains
two more seats than the previous row. If there are 24 rows, how many seats are in the last row of the theater?

Answer:

4x-3

Step-by-step explanation:

I have never worked with the program you are using, but if i were to assume,

there are four Xs (4x) and three minus signs, (-3)

so 4x-3 make the most sense to me.

i hope this helps!

:)

Answer:

4x-3

Step-by-step explanation:

Answer to the question is..

32,34,36

largest is 36

The expression which is false in determining the volume of the cylinder is given by V₁ = π . 3 . 12²

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the 12 cylinders be V

Let the height of the cylinder be h = 1 cm

Let the radius of the cylinder be r = 3 cm

Now , Volume of Cylinder = πr²h

On simplifying , we get

Volume of the cylinder V = 12 x ( π x 3² x 1 )

Volume of the cylinder V = π x 3² x 12 cm³

Volume of the cylinder V = 108π cm³

So , the expression V₁ = π . 3 . 12² is false and cannot be used to determine the volume of the cylinder

Hence , the volume of cylinder is 108π cm³

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The complete question is attached below :

Twelve disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed?

Answer:

-1.4

Step-by-step explanation:

h(2) = h(2-1) + 1.8

= h(1) + 1.8

= -5 + 1.8

= -3.2

h(3) = h(3-1) + 1.8

= h(2) + 1.8

= -3.2 + 1.8

= -1.4

As per the given expression h(n)=h(n−1)+1.8, then the value of h(3) is -1.4.

In this explanation, we will calculate the value of h(3) using the given recursive formula h(n) = h(n-1) + 1.8 with the initial condition h(1) = -5. We will follow the iterative approach to find the value of h(3) by step-by-step calculations.

We are given the recursive formula h(n) = h(n-1) + 1.8, where h(1) = -5. Let's find the value of h(3) using this formula.

Step 1: Calculate h(2)

To find h(2), we use the recursive formula:

h(2) = h(1) + 1.8

h(2) = -5 + 1.8

h(2) = -3.2

Step 2: Calculate h(3)

Now, to find h(3), we again use the recursive formula:

h(3) = h(2) + 1.8

h(3) = -3.2 + 1.8

h(3) = -1.4

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Answer:

X=10

Step-by-step explanation:

23-3=20

20÷2= 10

2(10)+3=23

Answer:

The answer is x = 13.

Step-by-step explanation:

first, move the constant to the right and change its sign, (+15)

3.75 x = 63.75 -15

next, subtract the numbers, (65.75 -15)

3.75x = 48.75

then, divide both sides of the equation by 3.75,

final answer, x = 13

Answer:

x = 13

Step-by-step explanation:

to solve this just simply collect the like terms and divide both sides by the coefficient of x

solution

3.75x +15 = 63.75

3.75x = 63.75 -15

3.75x = 48.75

divide both sides by the coefficient of x which is 3.75

3.75x/3.75  = 48.75/3.75

x = 13

Answer:

$59.50

Step-by-step explanation:

You need to find the price of 1 ruler.

[tex]\frac{110.50}{13}=$8.50[/tex]

Now you need to multiply the price of one, by 7 to find the answer.

[tex]8.5*7=59.5[/tex]

Have a nice day. Please mark brainliest!

Answer:

b. ellipse; 3x^2 + y^2 + 6x - 8y + 13 = 0

Step-by-step explanation:

thats the answer on edg :)

The point T(-1,4) lies on the ellipse on the graph.

The equation of the ellipse in general form is:

(x/√2)² + (y/√6)² = 1

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The given equation, 4y² + 12x² = 24, can be simplified by dividing both sides by 24 to get:

y²/6 + x²/2 = 1

This is the equation of an ellipse centered at the origin, with a horizontal major axis of length 2√6 and a vertical minor axis of length 2√2.

To identify the graph of the ellipse passing through T(-1,4), we substitute x = -1 and y = 4 in the equation and simplify:

4(4)² + 12(-1)² = 24

64 - 12 = 52

Thus, point T(-1,4) lies on the ellipse.

To find the equation of the translated or rotated ellipse in general form, we can use standard transformations.

Let (h,k) be the center of the ellipse.

Then we have:

(x-h)²/a² + (y-k)²/b² = 1

where a and b are the lengths of the semi-major and semi-minor axes, respectively.

The center of the given ellipse is (0,0), so h = 0 and k = 0.

To determine the values of a and b, we note that a^(2) is the coefficient of x² in the equation, and b² is the coefficient of y².

Thus, we have:

a² = 2 and b² = 6

Taking square roots, we get:

a = √2 and b = √6

Therefore,

The equation of the ellipse in general form is:

(x/√2)² + (y/√6)² = 1

This is the equation of an ellipse with a horizontal major axis of length 2√2 and a vertical minor axis of length 2√6, centered at the origin and rotated counterclockwise by an angle of θ such that tan(2θ) = 4/3.

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Answer:

exponential function is power

Step-by-step explanation:

because constantly have an exponential function

thanku

Introducing a constant to an exponential function will shift the graph of the function either vertically or horizontally, depending on how the constant is applied.

An exponential function typically has the form [tex]\( f(x) = a \cdot b^x \)[/tex], where [tex]\( a \)[/tex] is the initial value (the value of the function at [tex]\( x = 0 \))[/tex], and [tex]\( b \)[/tex] is the base of the exponential function (the rate at which the function grows or decays).

When a constant is introduced, there are two primary ways it can affect the function:

1. *Vertical Shift*: If the constant is added to or subtracted from the exponential function, it will result in a vertical shift of the graph. For example, if we have a function [tex]\( g(x) = a \cdot b^x + c \)[/tex], where [tex]\( c \)[/tex] is a constant, the graph of [tex]\( g(x) \)[/tex] will be the graph of [tex]\( f(x) = a \cdot b^x \)[/tex] shifted up by c units if [tex]\( c \)[/tex] is positive, or down by [tex]\( c \)[/tex] units if [tex]\( c \)[/tex] is negative.

2. *Horizontal Shift*: If the constant is introduced as an exponent, it will result in a horizontal shift of the graph. For example, if we have a function [tex]\( h(x) = a \cdot b^{(x - d)} \),[/tex] where [tex]\( d \)[/tex] is a constant, the graph of [tex]\( h(x) \)[/tex] will be the graph of [tex]\( f(x) = a \cdot b^x \)[/tex] shifted to the right by [tex]\( d \)[/tex] units if [tex]\( d \)[/tex] is positive, or to the left by [tex]\( d \)[/tex]  units if [tex]\( d \)[/tex] is negative.

It's important to note that the type of shift (vertical or horizontal) depends on the location of the constant in the function. A constant added to or subtracted from the function's value will cause a vertical shift, while a constant added to or subtracted from the input variable [tex]\( x \)[/tex]  (in the exponent) will cause a horizontal shift.

In summary, the introduction of a constant to an exponential function will not change the fundamental nature of the exponential growth or decay, but it will translate the graph of the function either up/down or left/right, depending on how the constant is incorporated into the function.

Answer:

the number of caffeine still in his system by 9:00 am is 192 mg.

Step-by-step explanation:

given information

the mass of initial caffein, m₁ = 300 mg

time, t = 9 - 6 = 2 hours

metabolised = 18%/hour = 0.18/h = 0.18 x 300 mg = 54 mg/h

the student metabolised the caffeine 54 mg/h. thus from 6 am to 9 am the caffeine metabolised is

metabolised in 2 hr = 2 x 54

                                 = 108 mg

the remaining caffeine = initial caffeine - metabolised caffeine

                                      = 300 - 108

                                      = 192 mg

Answer:

The correct answer is 138 mg.

Step-by-step explanation:

To understand this problem we must first analyze it.

We know that the student's body metabolizes 18% of the caffeine ingested every hour.

Therefore we can solve that percentage to already have the number of metabolized caffeine per hour:

(300. 18): 100 =

5400: 100 = 54 mg

We now know that the student's body will metabolize 54 mg of caffeine per hour.

The question is much caffeine is still in his system by 9:00 am?

From 6:00 am to 9:00 am we have 3 hours of difference: 3 . 54 = 162

In three hours 162 mg of caffeine were already processed by his body, therefore, it still needs to be metabolized: 300 - 162 = 138 mg.

Answer:

8

544+65+6+6+646546141

Answer:

Step-by-step explanation:

It it 7 becaues the base is 3 then 7 x 3 = 21

Answer:

choice C. 0 no real solution

Step-by-step explanation:

y=-3x^2+7x+6

using the formula for discriminant

D =  b^2 - 4ac

D = 7^2  -  4*3*6

D = 49  - 72  < 0

no real solutions

Answer:

c. 39,000

ppllaattoooo

The best estimate for what their down payment will be $5850

A conventional loan is any mortgage loan that is not insured or guaranteed by the government.

Given that, The Franzes are purchasing a home for $195,000, and they are using a conventional loan.

We know, the minimum down payment required for a conventional mortgage is 3%

So, 3% of $195,000 = 195,000x3/100

= 5850

Hence, The best estimate for what their down payment will be $5850

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Answer:

x=40

Step-by-step explanation:

What the problem is telling you is that the unlabeled angle is the same as the 70 degree angle. Since all the angles of a triangle add up to 180 degrees. First take 70+70, which equals 140. Now take the 180-140=40 ,so 40 would be the missing angle.

Final answer:

In an isosceles triangle, the angles opposite the congruent sides are congruent. To find the value of x in the triangle, we can set up an equation using the fact that the sum of the angles in a triangle is always 180 degrees. Simplifying the equation, we can find a value for x.

Explanation:

In an isosceles triangle, the angles opposite the congruent sides are congruent. Let's assume that the value of the unknown angle is x.

Since the triangle is isosceles, the other two angles are congruent. Let's call them a and a.

The sum of the angles in a triangle is always 180 degrees. Therefore, we can write the equation: x + a + a = 180.

Simplifying the equation, we get: 2a + x = 180.

Since the other two angles are congruent, we can say that: 2a = 180 - x.

Dividing both sides of the equation by 2, we find: a = (180 - x)/2.

Therefore, the value of x in the triangle is (180 - a)/2.

Answer:

x = -6 ; y = 11

x = 3 ; y = 5

x = 15 ; y = -3

x = -12 ; y = 15

Step-by-step explanation:

y = -(⅔)x + 7

x = -6

y = -(⅔)(-6) + 7

y = 11

5 = -(⅔)x + 7

-2 = -(⅔)x

x = 3

y = -(⅔)(15) + 7

y = -3

15 = -(⅔)x + 7

8 = -(⅔)x

x = -12

Answer:

25

step by step explanation:

Answer:

A, B, C, F

Step-by-step explanation:

A: Its is acute because it has 2 sides that are less than 90%

B: It is obtuse because there is 1 side that is over 90%

C: It has 2 equal sides.

F: 100% + 40% + 40% = 180%

Answer:

2n=-4

Step-by-step explanation:

Let he number be n

N×2=-4

Further explanation

If we are to solve

Divide both sides by 2

n=-2

Answer:

2n=-4

Step-by-step explanation:

Make sure to give the other person brainliest!

Answer:

x =0

Step-by-step explanation:

3=x+3–5x

Combine like terms

3 = 3-4x

Subtract 3 from each side

3-3 = 3-3-4x

0 =-4x

Divide each side by -4

0/-4 = -4x/-4

0 =x

Answer:

x=0

Step-by-step explanation:

3=x+3-5x add like terms

3= -4x+3

3=-4x+3 subtract 3 from both sides

0=-4x divide on both sides -4/-4 and 0/-4

x would equal 0

Answer:

126ft

Step-by-step explanation: 1. Find the area of the whole wall

2. Find the area of the door

3. Subtract the area of the wall from the door

Correct option is D) 10 .

Step-by-step explanation:

Net of a cube is : Basically , a cube consists of six square faces, twelve edges, and eight vertices. When the square faces of a cube are separated at the edges and laid out flat they make a two dimensional figure( 2D figure :- Comprises of x-axis & y-axis) called a net. There are eleven different nets for a cube.

Since we have 11 nets of a cube ! According to question we have only one net given , that means there are 10 more net of a cub are left .Therefore , Correct option is D) 10 .

Answer:

15

Step-by-step explanation:

After plugging in the 6, multiply 2 and 6 and then add 3. This equals 15.

Answer:

15

Step-by-step explanation:

2h+3 where h=6 (plug in 6 for h)

2(6)+3= (Multiply)

12+3= (Add)

15

To find out how many cherries Rachel picked, the mixed numbers are converted to improper fractions, multiplied, and the result is converted back to a mixed number. Rachel picked 3 11/15 pounds of cherries.

The question asks how many cherries Rachel picked, given that Melissa picked 1 3/5 pounds of cherries and Rachel picked 2 1/3 times more than Melissa. To find this out, we need to convert the mixed numbers into improper fractions, multiply and then convert back to a mixed number if necessary.

First, convert Melissa's cherries to an improper fraction: 1 3/5 = 8/5. Next, convert the number of times more Rachel picked: 2 1/3 times more = 7/3. Now, calculate Rachel's cherries: (8/5) * (7/3) = 56/15. Finally, convert 56/15 to a mixed number: 56/15 is 3 11/15. So, Rachel picked 3 11/15 pounds of cherries.

Answer:

1/4 hope this helped :)

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

There are 2 sides to each coin. So there are 6 sides to three coins. So the probability that they all land on the same side is 1/6.

Note:

Hope this helps! Hope you do well on your quiz/test! Please follow me on twitch at Ignoramous_

Sample answer:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Answer:

The top one

Step-by-step explanation:

Hope it helps!

Answer:

option B

Step-by-step explanation:

Answer:

[tex]f(x)=417(1.0375)^{x}[/tex]

Step-by-step explanation:

This question is not complete; please find the question attached.

Sales of cell phones at the store is growing at the rate of 3.75% per month which reveals that the monthly sales of cell phone is growing exponentially.

Sales per month will be represented by the growth function,

[tex]f(x)=A(1+\frac{r}{100})^{x}[/tex]

Where f(x) = Monthly sales

A = Sales in the first month

r = rate of increase in the sales

x = Duration or time

Fro the given question,

A = 417,  r = 3.75

So the function showing the monthly sales will be,

[tex]f(x)=417(1+\frac{3.75}{100})^{x}[/tex]

[tex]f(x)=417(1.0375)^{x}[/tex]