All points of the step function f(x) are graphed. What is the domain of f(x)?
Growth models question
The recursive formula for this problem is given as follows:
[tex]P_n = 1.05 \times P_{n - 1}[/tex]
The explicit formula for this problem is given as follows:
[tex]P_n = 150(1.05)^n[/tex]
The number of tickets in 2026 is given as follows:
297 tickets.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.
The explicit formula of the sequence is given as follows:
[tex]a_n = a_1q^{n}[/tex]
In which [tex]a_1[/tex] is the first term.
The parameter values for this problem are given as follows:
[tex]a_1 = 150, q = 1.05[/tex]
Hence the function is given as follows:
[tex]P_n = 150(1.05)^n[/tex]
2026 is 14 years after 2012, hence the number of tickets is given as follows:
[tex]P_{14} = 150(1.05)^{14} = 297[/tex]
More can be learned about geometric sequences at https://brainly.com/question/24643676
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Afire hydrant that is 2 3/4 feet tall casts a shadow that 2 feet long. Find the length of the shadow cast by a nearby 154-foot tall lighthouse.
2 3/4 = 2.75 2.75/2 = 154/x
154x2= 308
308/2.75= x 112= x. shadow casted = 112 feet
What's the difference between a whole, integer, rational, and irrational number?
Find the product of (x + 1)(x – 6)
Answer:
x^2−7x+6
Step-by-step explanation:
(x+−1)(x+−6)
=(x)(x)+(x)(−6)+(−1)(x)+(−1)(−6)
=x^2−6x−x+6
=x^2−7x+6
2. Solve this inequality. Show your work. 5.6+2.2.x > 65.6-1.8x
Answer: x>15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:
(56/10)+(22/10)*x-((656/10)-(18/10)*x)>0
Simplify 9/5
56 22 656 9
(——+(——•x))-(———-(—•x)) > 0
10 10 10 5
Simplify 328/5
56 22 328 9x
(——+(——•x))-(———-——) > 0
10 10 5 5
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
328 - (9x) 328 - 9x
—————————— = ————————
5 5
56/10+22/10.x/5)) >0 (328 - 9x)
Simplify 11/5
56/10+11/5.x/5))->0 (328-9x
Simplify 28/5
28 11x (328 - 9x)
(—— + ———) - —————————— > 0
5 5 5
Adding fractions which have a common denominator
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
28 + 11x 11x + 28
———————— = ————————
5 5
:
(11x + 28) (328 - 9x)
—————————— - —————————— > 0
5 5
Adding fractions which have a common denominator
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(11x+28) - ((328-9x)) 20x - 300
————————————————————— = —————————
5 5
Pull out like factors :
20x - 300 = 20 • (x - 15)
20 • (x - 15)
————————————— > 0
Multiply both sides by 5
Divide both sides by 20
Solve Basic Inequality :
Add 15 to both sides
x > 15
Answer:
.
Step-by-step explanation:
.
Write the stores in the correct order from least to greatest cost per pound of pears. (with an explanation please)
Answer:
Store C, Store B, Store A
Step-by-step explanation:
If you were to buy 1 pound of pears at Store A, It would be $1.29
If you were to buy 1 pound of pears at Store B, It would be $1.00
If you were to buy 1 pound of pears at Store C, It would be $0.89
From the value of -2x+10
Answer:
The answer is −2(x−5).
Step-by-step explanation:
I hope this is a better picture.
Answer:
I believe its B
Step-by-step explanation
> is pointing away from -4 there for its going away from -4
ASAP JSUT NEED ANSWER NOT WORK HURRY
Answer:
B
Step-by-step explanation:
4x + 11y = 3
11y = -4x + 3
y = -4/11x + 3/11
perp. 11/4
y - 7 = 11/4(x - 2)
y - 7 = 11/4x - 11/2
y -14/2= 11/4x - 11/2
y = 11/4x + 3/2
A.
Lydia is making bracelets. She has already made 14 and plans to
make 3 more each day. How long will it take Lydia to make 86
bracelets?
I NEED HELP PLEASEEEE
Answer:
x y
0 -1
1 2
2 5
3 8
4 11
5 14
If a map has a scale of 1cm = 5miles, how long would a park be that is 3 cm on the
map?
*
Answer:
15 miles
Step-by-step explanation:
1=5 so 3*5=15
In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning.
If the florist uses up half of each type of flower to fill an order, will the ratio of roses to tulips in the shop change?
Drag the numbers to show your answer. Numbers may be used once, more than once, or not at all.
Answer:
After the order, there are 60 roses and 36 tulips, which is equivalent to 5 : 3. The ratio does not change.
Step by step:
72 divided by 2 is 36.
36 divided by 3 is 12.
5 times 12 is 60.
So, the ratio is 60:36
In a florist shop, if the florist uses up half of each type of flower to fill an order, the ratio of roses to tulips will change and it will be 60 roses: 36 tulips.
Given that:
the ratio of roses to tulips is 5: 3On a Friday morning, the shop has (x) roses: 72 tulipsWe can form a system of equations; where
5: 3 ---- (1)x: 72 ---- (2)Let cross multiply the above equations to determine for the value of x:
i.e.
3x = (5 × 72)x = (5 × 72)/3x = 120So, on that Friday morning, when the shop has 72 tulips, they have 120 roses.
Now, if half of each type of flowers were used to fill an order, then the ratio of the roses to tulips will be:
(120/2) roses : (72/2) tulips60 roses: 36 tulipsLearn more about ratios here:
https://brainly.com/question/18956877?referrer=searchResults
What makes this a Poisson distribution(3 conditions) and what is the probability?
Answer:
Probability = 0.2865
Step-by-step explanation:
There are 65 accidents per year. We know that there are 52 weeks in a year, so let us determine the number of accidents in a week.
65/52 = 1.25 accidents in a week
If we use Poisson distribution, remember that X = the number of occurrences of a particular event in an interval of time or space. In this case X = 0, as we need to find the probability of there being no accidents. Our set up...
P(X = x) = λ^x * e^-λ / x!,
1 week => λ = 1.25,
P(X = 0) = 1.25^0 * e^-1.25/0!
= 1 * e^-1.25
= 1/e^1.25 ≈ 0.2865
HELPP PLS ILL MARK BRAINLIST
Answer: photo math
Step-by-step explanation: gives you an answer
Last year it rained 23% of the days in a small town.
A) 23/100 B)1/23 C) 23/1000
D) 23/30
Answer: It would be A since percentage is out of 100
Shay's GPA for last semester was 3.85215. Round this number to the nearest tenth. please help I don’t get rounding
Answer:
3.9
Step-by-step explanation:
It is rounded to 3.9 I think
Answer:
3.9
Step-by-step explanation:
3.85215 Since your rounding to the nearest tenth which is 8 you will look at the number to the right which is 5. If the number is 5 or greater than five then the number in the tenth place will go up one. So it becomes 3.9.
If 8 gal of gasoline costs $28.48, how much would it cost to completely fill a 20-gal tank?
Answer:
$71.20
Step-by-step explanation:
8/28.48=20/x
Cross multiply
71.2
$71.20
Answer:
Easy, $71.20
Step-by-step explanation:
1st 8/28.48=20/x
(Cross multiply)
2nd 71.2
Last $71.20
Which expression represents the distance between 1.8 and 9.4 on the number line?
Drag and drop the correct expression into the box.
Answer:
|9.4-1.8|
Step-by-step explanation:
To find distance, you take the largest value minus the smallest value and then take the absolute value of that because distance can't be negative.
Plzzzzzzzz help right answer gets brainly
Answer:
A
Step-by-step explanation:
Which statement is true about the graph of the quadratic function below?
The graph of the function has two y-intercepts and one x-intercept.
The function has a domain of all real numbers greater than or equal to
The function has a zero at (0, 1).
The function has a minimum value.
The quadratic function below has a minimum value. The graph of the quadratic function is shown below. The vertex of the graph is (-2, -5), and the axis of symmetry is x = -2.What is a quadratic function?A quadratic function is a function that can be represented in the form[tex]f(x) = ax^2 + bx + c[/tex], where a, b, and c are constants and a ≠ 0.
The graph of a quadratic function is a parabola that opens upwards if a > 0 and downwards if a < 0. The vertex of the parabola is the minimum point of the function if a > 0 and the maximum point of the function if a < 0.
The quadratic function below has a minimum value. This means that the parabola opens upwards, and the vertex is the minimum point of the function.
The vertex of the parabola is (-2, -5), which is the lowest point on the graph. The axis of symmetry is the vertical line x = -2, which passes through the vertex.
The axis of symmetry divides the parabola into two congruent halves, so the parabola is symmetric about this line.
In summary, the statement that is true about the graph of the quadratic function below is that the function has a minimum value.
The vertex of the parabola is (-2, -5), and the axis of symmetry is x = -2. The parabola opens upwards, and the minimum point of the function is at the vertex.
For such more question on quadratic function
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A group of 12 students is deciding whether to go to the science center or the zoo. Science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.
How much will a group of 12 students save by choosing the science center?
Enter your answer in the box.
Answer:
$154
Step-by-step explanation:
So you have 12 students, and overpriced tickets, 4 x 36.75 = 147. Check anwser by dividing 147 by 36.75, you should get 4.
Answer:
154 bucks
Step-by-step explanation:
Alexander signed up for a streaming music service that costs $9 per month. The service allows Alexander to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song. How much total money would Alexander have to pay in a month in which he downloaded 15 songs? How much would he have to pay if he downloaded s songs?
Answer: if he downloaded 15 songs he would have to pay 16.5$ a month because 15 times 0.5= 7.5 and 7.5 plus the 9$ he pays is 16.5.
If he downloaded s songs, the equation is 0.5s+9
Or y=0.5x+9
Step-by-step explanation:
$5000 at a 5% interest for 3 1/2 years
Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power quality are "sags" and "swells." A sag is an unusual dip, and a swell is an unusual increase in the voltage level of a transformer. The power quality of transformers built in Turkey was investigated in Electrical Engineering (Vol. 95, 2013). For a sample of 103 transformers built for heavy industry, the mean number of sags per week was 353 and the mean number of swells per week was 184. Assume the standard deviation of the sag distribution is 30 sags per week and the standard deviation of the swell distribution is 25 swells per week. Suppose one of the transformers is randomly selected and found to have 400 sags and 100 swells in a week.
a. Find the z-score for the number of sags for this transformer. Interpret this value. 1.57
b. Find the z-score for the number of swells for this transformer. Interpret this value. -3.36
Answer:
a
[tex]z-score = 1.57[/tex]
b
[tex]z-score_s = -3.36[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 103
The sample mean of sag is [tex]\= x_1 = 353[/tex]
The sample mean of swells is [tex]\= x_2 = 184[/tex]
The standard deviation of sag is [tex]s_1 = 30[/tex]
The standard deviation of swells is [tex]s_2 = 25[/tex]
The number of swell for a randomly selected transformer is k = 100
The number of sag for a randomly selected transformer is c = 400
Generally the z-score for the number of swells is mathematically represented as
[tex]z-score_s = \frac{ k - \= x_2}{s_2}[/tex]
=> [tex]z-score_s = \frac{ 100- 184}{25}[/tex]
=> [tex]z-score_s = -3.36[/tex]
Generally the z-score for the number of sags is mathematically represented as
[tex]z-score = \frac{ c - \= x_1}{s_1}[/tex]
[tex]z-score = \frac{ 400 - 353}{30}[/tex]
[tex]z-score = 1.57[/tex]
The z-score for the number of sags for this transformer is 1.57.
And the z-score for the number of swells for this transformer is -3.36.
Given that,
The power quality of transformers built in Turkey was investigated in Electrical Engineering (Vol. 95, 2013).
For a sample of 103 transformers built for heavy industry, the mean number of sags per week was 353 and the mean number of swells per week was 184.
Assume the standard deviation of the sag distribution is 30 sags per week that the standard deviation of the swell distribution is 25 swells per week.
Suppose one of the transformers is randomly selected and found to have 400 sags and 100 swells in a week.
We have to find,
Find the z-score for the number of sags for this transformer.
Find the z-score for the number of swells for this transformer.
According to the question,
For a sample of 103 transformers built for heavy industry, the mean number of sags per week was 353,
the standard deviation of the sag distribution is 30 sags per week.
the transformers is randomly selected and found to have 400 sags.
Therefore,
The z-score for the number of sags for this transformer,
[tex]\rm Z_s_c_o_r_e = \dfrac{Randomely \ selected \ transformers \ of \ sags- Mean \ number \ of \ sags }{Standard \ deviation \ of \ sags}\\\\ Z_s_c_o_r_e= \dfrac{400-353}{30}\\\\ Z_s_c_o_r_e= \dfrac{47}{30}\\\\ Z_s_c_o_r_e= 1.57[/tex]
Sample of 103 transformers built for heavy industry, the mean number of sags per week was 184,
the standard deviation of the sag distribution is 25 sags per week.
the transformers is randomly selected and found to have 100 sags
Therefore,
The z-score for the number of sags for this transformer,
[tex]\rm Z_s_c_o_r_e = \dfrac{Randomely \ selected \ transformers \ of \ swells - Mean \ number \ of \ swells }{Standard \ deviation \ of \ sweels}\\\\ Z_s_c_o_r_e= \dfrac{100-184}{25}\\\\ Z_s_c_o_r_e= \dfrac{-84}{25}\\\\ Z_s_c_o_r_e= -3.36[/tex]
Hence, The z-score for the number of sags for this transformer is 1.57 and the z-score for the number of swells for this transformer is -3.36.
For more details refer to the link given below.
https://brainly.com/question/15776766
what common denominator goes to 16
[tex]\left[\begin{array}{ccc}Your\;answer\;is\;48\end{array}\right][/tex]
Explanation
Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).
Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.
Then add (or subtract) the fractions, as we wish!
Credit to mathisfun.com!
Which represents the equation of a side that is perpendicular to sider?
Answer:
y = x - 3
Step-by-step explanation:
ok so r has the cornets of (4,1) and (6,3)
x - 3 = y
4 - 3 = 1
6 - 3 = 3
A football team receives a 5-yard penalty on one play and a 10-yard penalty on the next. Write a number sentence to represent this situation.
Answer: Total penalty = -5yd + (-10yd) = -15yd
Step-by-step explanation:
A number sentence is any type of equation that represents something:
First, the team receives a 5 yd penalty.
-5yd
Then the team receives another penalty, this time of 10 yd, then we can write the total penalty as the sum of the two penalties.
Total penalty = -5yd + (-10yd) = -15yd
4a + 5b + 11b + 3a + 9 +21
7.) What are the terms in the algebraic expression?
Answer:
7a+16b+30
Step-by-step explanation:
I think maybe
