For the past several years, the high school theater department has performed a musical in their auditorium. Each year since the first, they have raised ticket prices by $0.25, however the department has also noticed a decline in the number of people attending each year. This year, they are analyzing the ticket prices, attendance, and sales to determine the ticket price that maximizes their sales.
Factor completely:
x³ - 9x
Answer:
x(x+3)(x-3)
Step-by-step explanation:
Factor out common term x
=x(x^2-9)
Factor x^2-9;
(x+3)(x-3)
=x(x+3)(x-3)
Answer:
x(x + 3)(x - 3)
Step-by-step explanation:
What we're given is a difference of squares multiplied by x. If we start by factoring x out, we can simply expand the binomial:
x³ - 9x
= x(x² - 9)
= x(x + 3)(x - 3)
Any time you see an expression in the format a² - b², that is called a difference of squares, and can always be expanded out to (a + b)(a - b). In this case, a is x, and b is 3.
The diameter of a cylinder is 2,000 in. The height of the cylinder is 8,000 in. What is the approximate volume of the cylinder? Use 3.14 for pi
the volume of the cylinder is 25,120,000,000 cubic in.
A new car is purchased for 23900 dollars. The value of the car depreciates at 9.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 6000 dollars?
9514 1404 393
Answer:
14.2 years
Step-by-step explanation:
The value is described by the exponential function ...
y = (initial value)·(decay factor)^x
where y is the value after x years.
The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...
6000 = 23900·0.9075^x
6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900
log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms
x = log(6000/23900)/log(0.9075) ≈ 14.2396
It will be about 14.2 years until the value of the car is $6000.
Answer:
14.2
Step-by-step explanation:
a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for Pie
b. What percent of the perimeter of the
square is the circumference of the
circle?
Answer:
a) 94.2 cm
b) 78.5%
Step-by-step explanation:
a) since the square side = 30 cm
it means the diameter = 30 cm
then circumference of the largest circle that can be cut = 3.14×30 = 94.2 cm
b) the perimeter of the square = 30×4 = 120
94.2 for 120
x% for 100%
x = (100×94.2)/120 = 9420/120 = 942/12 = 78.5%
Having good study habits will help you learn more.
TrueFalse
Answer:
Ture
Step-by-step explanation:
I have experience and i answered this question before
Answer:
True.
Step-by-step explanation:
Studying helps implant the knowledge into your brain, allowing you to remember it, and succeed in that subject of knowledge, thus having good study habits will help you learn more!
WILL GIVE BRAINLIEST! (Please hurry)
Which algebraic expression has like terms?
A. 9n3 - 2n+ 3 - 4n2
B. 7n3 + 3n - 3 - 6n2
C. 7n3 + 4n - 3n3 - 5n2
D. 6n3 - 4n4 + 6n - 5n2
Answer:
B!!
Step-by-step explanation:
Answer:
b! is the answer :):):):)
if the simple interest on 2000 for 4 years is 4000 then what is the interest rate
Answer:
Principal = Rs 2000
Time = 4 years
Interest = Rs 400
Now, Interest= Principal×Rate×Time/100
400= 2000×R×4/100
R= 400×100/2000×4
Step-by-step explanation:
Hope it is helpful....
Adult tickets to a basketball game cost $5. Student ticket cost $1. A total of 2,814 was collected on the sale of 1,150 ticket. How many of each type of ticket were sold?
Answer:
Adult: 333 tickets, Student: 1664 tickets
help with this too!!
Answer:
a
Step-by-step explanation:
Which applies the power of a product rule to simplify (50) ?
(50) 3 - 56
(51) 3 = 3(57) - 154
(50 ° - 5373 = 1251
(50) 3 - 5 t = 1251
The perimeter of a regular hexagon is 78 cm .What will be the length of each side?
Answer:
13 cm
Step-by-step explanation:
78/6=13
Answer:
13cm
Step-by-step explanation:
regular means the sides are equala hexagon has 6sides78/6=13Which value is a solution of the inequality 1/4 y
_ >8
A map is shown.
How far is Sandra's house from Johnny's house?
Answer:
1681 miles
By Pythagoras theoram
You buy a new computer for $2000. The computer decreases value by 25% each year. Given the equation V(t)=2000(.75)t , where V represents the computer's value in dollars and t represents the time in years. After how many years will the computer be worth half the original value? Give your answer to 3 decimal places.
Answer: You would need 3 years till the total value is less than the 2,000.
Step-by-step explanation:
Year 1.) 1,500
Year 2.) 1,125
Year 3.) 843.75
Find the volume of a right circular cone that has a height of 4.4 in and a base with a diameter of 3.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
12.5 in squared 3
Step-by-step explanation:
Answer:
12.5!
Step-by-step explanation:
Which of the following statements are equivalent to the statement
"price increased by 100%"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 662 % of what it was before
3
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
The given statement "price increased by 100%" is same as the price doubled.
What is the meaning of price increased by 100%?The price increased by 100% means that the price becomes double of the initial number.
Given is the statement as -
"price increased by 100%"
The given statement "price increased by 100%" is same as the price doubled
Therefore, the given statement "price increased by 100%" is same as the price doubled.
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Solve for x
(-4x + 4).-3= 24
answer:27
because -4 +4 = 0 x -3= -3 +27= 24
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=38(1.108)^x
Step-by-step explanation:
We are given this function:
y=8700* (1.04)^{4}y=8700∗(1.04)
4
8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4%
This would be our solution if we don't have an exponent.
We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,169858561.04
4
=1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
We are given this function:
y=8700* (1.04)^{4}y=8700∗(1.04)
4
8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4
This would be our solution if we don't have an exponent.
We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,169858561.04
4
=1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
If the measure of arc RT = 80 degrees and the measure of arc US = 40 degrees, what is the m<2?
Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to know what percent of his sales were more than 84 inches tall. He can use the standard normal distribution to help him.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given value:
[tex]\to X = 84\\\\\to \mu = 68\\\\\to \sigma= 10\\\\[/tex]
Using formula:
[tex]\bold{Z= \frac{X-\mu}{\sigma}}[/tex]
[tex]= \frac{84-68}{10}\\\\ = \frac{16}{10}\\\\=1.6[/tex]
Calculating the percent of the sales which is less than or equal to 84 inches:
[tex]\to P(Z \leq 1.6)=0.9452[/tex]
[tex]= 0.9452 \times 100\\\\ =94.52\% \approx 95.5\%[/tex]
Calculating the remaining value [tex]100-94.5=5.5\%[/tex] were more than 84 inches.
In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a
Answer:
It must be proven to be a quadrilateral
Step-by-step explanation:
The question is straightforward, and it requires a direct answer.
A rhombus has four sides and as such it means it is a type of quadrilateral.
So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.
Plz help I need this for my grade report cards are coming out
Answer:1.5
1st box: 0.75
2nd box: 1.5
3rd box: 3
4th box: 28
Step-by-step explanation:
First I got the 4th box. I found out 3.5x2=7, and 7x2=14. So I know the pattern is multiply by 2.
Then I got the 3rd box. I used a proportion. (14x6)/28= 3
Then the 2nd box. I did (3x7)/14=1.5
Lastly, I did the 1st box. (1.5x3.5)/7= 0.75
I hope that helped :)
Answer:
1.19
69.9
Per
6 have a great day
Drag tiles to match each fraction, decimal, or percent to an equivalent number.
24/25 3/5 9/50 26% 0.35
0.96 60% 0.18 13/50 7/20
PLEASE ANSWER ASAP
Answer:36%=9/25 17/50=34% 0.18=18% 1/4=0.25 Hope that helped:)
Step-by-step explanation:
The solution to the equation is
a) 24 / 25 = 0.96
b) 3/5 = 60 %
c) 9 / 50 = 0.18
26 % = 13 / 50
0.35 = 7 / 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
a)
24 / 25
The value of the fraction A = 24/25 is
A = 0.96
Therefore , A = 24/25 = 0.96
b)
3/5
The value of the fraction A = 3/5
Multiply the numerator and denominator by 20 , we get
A = 3/5 x 20/20
A = 60 / 100
A = 60 %
Therefore , A = 3/5 = 60 %
c)
9/50
The value of the fraction A = 9/50
Multiply the numerator and denominator by 2 , we get
A = 3/5 x 2/2
A = 18 / 100
A = 0.18
Therefore , A = 9/50 = 0.18
d)
26 %
The value of the fraction A = 26 %
Convert the percentage A = 26 % into fraction , we get
A = 26/100
A = 13 / 50
A = 13/50
Therefore , A = 26 % = 13/50
e)
The value of the fraction A = 0.35
Convert the decimal A = 0.35 to fraction , we get
A = 35 / 100
Divide the numerator and denominator by 5 , we get
A = 7 / 20
Therefore , A = 0.35 = 7 / 20
Hence , the value of the equation A is
a) 24 / 25 = 0.96
b) 3/5 = 60 %
c) 9 / 50 = 0.18
26 % = 13 / 50
0.35 = 7 / 20
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I’m a bit slow, help please
A line passes through the points (-3,0) and (2,5). Find its equation in general
form.
Noah says that 9x−2x+4xis equivalent to 3x, because the subtraction sign tells us to subtract everything that comes after 9x.
Elena says that 9x−2x+4xis equivalent to 11x, because the subtraction only applies to 2x.
Who is correct? And why are they correct?
Group of answer choices
Elena
Noah
A football field measures at 100 yards with 2 end zones. There are 2 end zones. Each end-zone is 10 yards long. What is the total length of the football field in feet?
Answer:
360 feet.
Step-by-step explanation:
If there are 2 end zones each measuring 10 yards long then that means that both together measure 20 yards long. We add this to the 100 yards of the field and we get a total length of 120 yards. Now we can simply turn this into feet, we know that ...
1 yard = 3 feet
120 yards = x feet
120 * 3 = x
360 feet = x
Finally, we can see that the length of the football field is 360 feet.
*
What is the slope and y-intercept of y=-3x+7?
Answer:
The slope is -3 and the y-intercept is (0, 7)
Step-by-step explanation:
In the slope-intercept form (y=mx+b), m is the slope and b is the y-intercept. -3 is substituted for m and 7 is substituted for b in your equation.
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 620 babies were born, and 341 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
Answer:
Based on the confidence interval, the method appears to not bring expected results
Step-by-step explanation:
The given parameters are;
The number of babies in the study, n = 620 babies
The number of girls in the study sample = 341 girls
The proportion of girls in the study sample, [tex]\hat p[/tex] = 341/620 = 0.55
At 99% confidence level, we have the critical z = 2.576;
The confidence interval is given by the following formula;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]
Plugging in the values of the variables, we get;
[tex]CI=0.55\pm 2.576\times \sqrt{\dfrac{0.55 \times (1-0.55)}{620}} \approx 0.55 \ \pm 5.14680 \times 10^{-2}[/tex]
Therefore, 0.498532 < p < 0.601468
Based on the result of the confidence interval, we can be 99% sure that the true mean is between 0.498532 and 0.601468, therefore, given that the range includes a true mean of 0.5 or 50% probability of conceiving a girl, which is the percentage predicted by genetics, the method appears ineffective