PLEASE I NEED AN ANSWER QUICKLY
Let c = children's and a = adults.
Mathland Theatre charges $5.00 for children's tickets and $9.00 for adult tickets. One night the theatre sold 290 tickets and took in $2250. How many of each type of ticket were sold?

This kinds of fractions called improper fractions

The rule is

We can turn it into mixed fraction

Verified that during the first 3 seconds of fall the instantaneous velocity equals the average velocity, the time is 1.5 seconds

The height of an object t seconds after it is dropped from a height of 300 meters is

s(t) = -4.9t^2 + 300

The average velocity of object during first 3 seconds

= s(3) - s(0) / 3 - 0

s(3) = -4.9 × (3)^2 + 300

= -44.1 + 300

= 255.9 meters

s(0) = -4.9(0)^2 + 300

s(0) = 300

The average velocity = (255.9 - 300) / 3 - 0

= -44.1 / 3

= -14.7 meter per second

To find  instantaneous velocity differentiate the function

= -9.8t

The instantaneous velocity = The average velocity

-9.8t = -14.7

t = -14.7/-9.8

t = 1.5 seconds

Therefore, time is 1.5 seconds

I have answered the question in general, as the given question is incomplete

The complete question is :

The height of an object t seconds after it is dropped from a height of 300 meters is s(t) = -4.9t^2 + 300.

(b) Use the Mean Value Theorem to verify that at some time during the first 3 seconds of fall, the instantaneous velocity equals the average velocity. Find that time.

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Answer:

126

Step-by-step explanation:

1200 x .021=25.20 interest per year

25.20x5=126

assumes no compounding

Answer:

f−1(x)=5x4−5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Answer:

A cookie store sells 6 varieties of cookies. It has a large supply of each kind. How many ways are there to select 15 cookies if at most 2 can be sugar cookies?

Answer:

36

Step-by-step explanation:

The paper is adding 9

Answer:

2.25

Step-by-step explanation:

the equation straight line y = -1/5 x + 4. of the line drawn in the picture is attached below.

What is equation straight line?

There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1).

The given equation y = -1/5 x + 4.

Here m = -1/5

and c= 4

So the plot on the graph will be as fallow.

Hence the equation of the line drawn in the picture attached below

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There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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20/32

5/8

0.625

62.5

62.5%

x% x 32= 20; x%=20÷32: x%=.625:; x= 62.5%

Answer:

32.65 feet below sea level

Step-by-step explanation:

1.5x15=22.5

55.15-22.5=32.65

hope that helps

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The number is -6/7 and the equation is x-7*x=x+6.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be x.

We have to find the number.

According to given question we have

If the product of a number and -7 is subtracted from the number the result is 6 more than a number

product of a number and -7 =-7*x

subtracted from the number=x-7*x

6 more than a number=x+6

i.e

x-7*x=x+6

compare the like terms we have,

x-7*x=x+6

Subtract x from both sides we get ,

-7x=6

x=-6/7

Therefore, the number is -6/7 and the equation is x-7*x=x+6.

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Answer:

A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

Step-by-step explanation:

We have been given the equation

The degree of the given polynomial is 2.

Hence, the function is quadratic.

The term with exponent 2 on x is called the quadratic term. The term with exponent  1 on x is called linear and the term without any variable is a constant term.

Therefore, we have

Quadratic term= 6x^2

Linear term= x

Constant term= -12

9514 1404 393

Answer:

  A. quadratic function; quadratic term: 6x²; linear term: x; constant term: −12

Step-by-step explanation:

The squared term (6x^2) is also called the "quadratic" term. The term with x to the first power (no exponent) is the "linear" term. The term with no variable at all is the "constant" term.

It should be no mystery that the quadratic term is 6x^2; the linear term is x; and the constant term is -12.

_____

Additional comment

As with much of algebra, this is about vocabulary and pattern recognition.

The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

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Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

Answer:

5"11

Step-by-step explanation:

6 foot 2 inches minus 3 inches is 5 foot 3 inches

Answer:

5'11

Step-by-step explanation:

Answer:

6-2(a+8) >18

6 - 2a-16 >18

- 10- 2a > 18

- 2a > 18+10

-2a > 28

a < -14

..........

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

22.8 kl

Step-by-step explanation:

Answer:

Step-by-step explanation:

BAD = 42

x + 103 + 42 = 180

x = 180 - 145

x = 35

Answer:

$285

Step-by-step explanation:

So let's quickly analyze the problem, it is asking us how much Roger makes as a commission on sales if he earns 3% on sales for $9,500.

We can make the 3% into a decimal, by dividing it by a 100.

3/100=0.03

Now that we have a decimal to work with, we can multiply this to the amount of sales,

9500 x 0.03= $285 ( He earns $285 as commission for $9500)

Answer:

285 is his commission

Step-by-step explanation:

i have sent my explanation in the above picture

Answer:

k=77

steps:

k/11=7

k=7*11

k=77

Answer:

Step-by-step explanation:

\(\tt \cfrac{k}{11} =7\)

The opposite of division is multiplication, so we need multiply both sides by 11:-

\(\tt \cfrac{k}{11}\times 11 =7\times 11\)

\(\tt k=7\times 11\)

\(\tt k=77\)

______________________

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The next three terms in the geometric sequence will be 24, 48 and 96.

We are given a geometric sequence:

3, 6, 12 …

We need to find the next 3 terms of the sequence.

We can see that:

a = initial term of the sequence

a = 3

r = common ratio between the consecutive terms.

r = 6 / 3 = 2

Now, nth term will be represented by:

aₙ = a rⁿ⁻¹

Substituting the values of a and r in the formula, we get that:

aₙ = 3 (2)ⁿ⁻¹

Now, the 4th term will be ( put n = 4)

a₄ = (3) (2)⁴⁻¹

a₄ = (3) (2)³

a₄ = (3) × (8)

a₄ = 24

The 5th term will be: (put n = 5)

a₅ = (3) (2)⁵⁻¹

a₅ = (3) (2)⁴

a₅ = (3) × (16)

a₅ = 48

6th term will be: (put n = 6)

a₆ = (3) (2)⁶⁻¹

a₆ = (3) (2)⁵

a₆ = (3) × (32)

a₆ = 96

Therefore, the next three terms in the geometric sequence will be 24, 48 and 96.

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Your question was incomplete. Please refer the content below:

The first three terms of a geometric sequence are 3, 6, 12. What are the next three terms?

Answer:

Step-by-step explanation:

To solve the equation x/75 = 25, you can multiply both sides by 75 to isolate x:

x/75 * 75 = 25 * 75

x = 1875

Answer:

First  we know that each book is 2/9 inch thick

- The total  length of the box is 18 inches

- And we can fill the box with x Amounts of 2/9 inch books as long as the total  length DO NOT SURPASS 18 inches

Step-by-step explanation:

In which x is the total number of books

Answer:how does it go again

Step-by-step explanation:

pe pe po po pe pe pp po

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4