HELP MEH PLEZ! When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on the fairgrounds as when the gates opened. After two hours, there
The equation representing the number of people, y, at the fair x hours after the gates open:
y = 68 * 1.5^(x-1)
Initial number of people: 68 (given)
Growth factor per hour: 1.5 (given)
Number of hours since gates opened: x
The equation uses the following logic:
Start with the initial number of people (68).
Multiply by the growth factor (1.5) to account for the increase after the first hour.
Since the growth factor applies after each hour, raise it to the power of (x-1) to account for the total number of times it's applied after x hours. This is because the first hour's growth is already accounted for in the initial number.
Therefore, the equation y = 68 * 1.5^(x-1) accurately represents the number of people at the fair x hours after opening.
Complete question:
When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on the fairgrounds as when the gates opened. After two hours, there were 1.5 times as many people on the fairgrounds as the previous hour. If this pattern continues, write the equation representing the number of people, y, at the fair x hours after the gates open.
The sum of the percent frequencies for all classes will always equal:
This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two options advertised by Hertz: Toyota Camry, 33 mpg highway, costs $465.59 plus taxes and fees totaling $553.28. Toyota Prius Hybrid, 48 mpg highway, costs $634.49 plus taxes and fees totaling $804.61. In both cases, you must purchase gasoline, which costs approximately $3.80 per gallon in California.
If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.
What type of transformation is demonstrated in the following figure?
it is a translation.
Lashonda runs 3 miles in 25 minutes. at the same rate, how many miles would she run in 20 minutes?
Find the next term of the following sequence.
25, 10, 4,
The given sequence is 25, 10, 4.
Notice that this is a geometric sequence because here we have equal common ratio.
So, common ratio : r = [tex] \frac{a_{2}}{a_{1}} [/tex]
= [tex] \frac{10}{25} [/tex]
= 0.4
So, each term is 0.4 times of it's previous term.
Hence, to get the next term of this sequence, multiply 0.4 with the third term 4.
So, fourth / next term = 4* 0.4 =1.6
Hence, next term of this sequence is 1.6.
Hope this helps you!
Answer:
Step-by-step explanation:
the answer is 8/5 i just did it on my quiz and got it right.
find m<G p//r. the diagram is not to scale. I believe it to be 146 but I'm not sure.
The given information is not clear enough to determine the measure of angle G p//r.
Explanation:To find m<G p//r, we need to understand the given diagram. However, the provided information is not clear enough to determine the measure of angle G p//r. More information or a clear diagram is needed to find the angle accurately. Please provide additional details or a clear diagram for further assistance.
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If the intercepts of a line are (a,0) and (0,b), what is the slope of the line?
Show how you solved it.
a fishing lake was stocked with 300 bass. Each year, the population decreases by 25. the population of bass in the lake after x years is represented by the function f(x)=300-25x
The function f(x)=300-25x represents the decline of population in a fishing lake that was initially stocked with 300 bass. Each year, the population reduces by 25. For instance, after 4 years, the number of bass left in the lake would be 200.
Explanation:The question is about a fishing lake that was initially stocked with 300 bass. As per the information given, the population of bass in the lake decreases by 25 each year. Therefore, if we let x represent the number of years, then every year, the number of bass decreases by 25x. This relationship is represented by the algebraic function f(x)=300-25x.
To provide a practical understanding, suppose you want to calculate the number of bass remaining after 4 years. You just substitute '4' in place of x in the equation. Hence, f(4) = 300 - 25 * 4 = 300 - 100 = 200. So, after 4 years, there would be 200 bass remaining in the lake.
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The admission fee at an amusement park is $2.00 for children and $5.60 for adults. On a certain day, 352 people entered the park, and the admission fees collected totaled 1280 dollars. How many children and how many adults were admitted?
The Sheng family had dinner at their favorite restaurant. A 4% sales tax was added to their bill. Amy paid the bill with a $25 gift certificate plus $44.80. How much did the family's dinner cost before tax? Round your answer to the nearest penny.$ 71.59$ 66.01$ 67.12$ 67.01
Mrs. Sage will print a copy of the class alphabet book for each student. The book is formatted in1/2 pages with a title page, a page for each letter and an end page. If there are 70 students, how many reams of paper will Mrs. Sage need for the books?
Can i deposit rolled coins at the drive through
How many seconds should a standard ecg strip be, to use for interpretation?
a. 1 minute
b. 12 seconds
c. 6 seconds
d. 30 seconds?
help will mark brainliest Jim Shu has the following work shown on their paper. The directions read “Simplify each radical.” Unfortunately, they have not simplified correctly.
A. Find their mistake and explain what they did wrong.
Jim Shu made two mistakes in simplifying radicals: they missed the initial steps and included an irrelevant step of checking the answer's reasonability.
Explanation:The instructions provided to Jim Shu involve simplifying radicals, but there is an omission of the initial steps in the process.
The student proceeds with step 6 without detailing the necessary earlier steps in simplifying the algebraic expression.
This misstep results in an incomplete representation of the solution process.
Furthermore, step 7 introduces an unrelated directive, advising the student to check the answer for reasonability.
This step is incongruent with the task at hand, which is the simplification of radicals.
To address this error, Jim Shu should incorporate the essential preliminary steps for simplifying radicals, ensuring a comprehensive presentation.
Additionally, the extraneous step of checking reasonability should be omitted, aligning the solution process with the given directions.
What ten times 13 divided by 130, how you solve it
andy constructed a triangle angle 1 and 2 are the same but angle 3 has a measurement of 100 degrees what is the measurement of angle 1 and 2
Write -42/9 mixed in a reduced form
What is a correct congruence statement for the triangles shown?
the blue arc is showing that the angle of P & B are congruent, the single blue line shows that PF is congruent to BL
so in order for the triangles to be congruent the letters of the 2nd triangle need to be in the same order as the first
so P = B, F = L, and X = G
So answer would be BLG
Can someone please explain this in a way my dumb brain would understand? WHY does 2 - (-8) = 10? Shouldn't it be decreasing to -6?
The reasoning is because you are subtracting 2. If you were to be adding 2, then it would be -6.
Since you are subtracting 2 it = 10.
Glad to help a Senior mod out.
Thanks, Plip.
How many 3 letter "words" can be created from the letters abcdefg when 1. repetition allowed,?
Which monomials are perfect squares? Check all that apply. 6x2 9x8 16x9 25x12 36x16
Answer: Options Third, Second , Fourth are correct.
Step-by-step explanation:
Since we have given that
[tex]6x^2\\\\9x^8\\\\16x^9\\\\25x^{12}\\\\36x^{16}[/tex]
Since we know that
9, 16, 25, 36 are perfect squares.
So, we get that
[tex]9x^8=(3x^4)^2\\\\25x^{12}=(5x^6)^2\\\\36x^{16}=(6x^8)^2[/tex]
Hence, Options Third, Second , Fourth are correct.
In which of these cases is each stamp worth the most?
1. 7 of the same stamp worth a total of $3.15
2. 8 of the same stamp worth a total of $3.20
3. 10 of the same stamp worth a total of $4.10
4. 16 of the same stamp worth a total of $4.80
3.15 /7 = 0.45
3.20/8 = 0.40
4.10/10 = 0.41
4.80/16 = 0.3
Answer is 1. 7 stamps worth 3.15
Answer:
1. 7 stamps for $3.15 → $0.45/stamp
Step-by-step explanation:
Calculate the price per stamp for each scenario:
1)[tex]\frac{3.15}{7}=0.45[/tex]/stamp
2)[tex]\frac{3.20}{8}=0.40[/tex]/stamp
3)[tex]\frac{4.10}{10}=0.41[/tex]/stamp
4)[tex]\frac{4.80}{16}=0.3[/tex]/stamp
Therefore the first scenario of stamps will be the worth the most per stamp, as it has a higher cost than the rest.
Suppose a parabola has vertex (-3,7) and pass throught the point (-2,11). write the equation of the parabola in vertex form.
Parabola is a plane curve with a U shape.
The parabola equation is given as:
y = a (x – h)² + k
The equation of a parabola that has a vertex (-3, 7) and passes through the point (-2, 11) is y = 11.
What is a parabola?Parabola is a plane curve with a U shape.
The parabola equation is given as:
y = a (x – h)² + k
(h, k) is the vertex.
We have,
Parabola:
Vertex = (-3, 7)
Passes through the point = (-2, 11)
The equation of the parabola is y = a (x - h)² + k
(-3, 7) = (h, k)
Since the parabola passes through the point (-2, 11) we get,
11 = a (-2 - (-3))² + 11
11 = a (-2 + 3)² + 11
11 = a x 1 + 11
11 = a + 11
Subtract 11 on both sides.
0 = a
a = 0
Now,
y = 0 (x + 3)² + 11
y = 0 + 11
y = 11
Thus,
The equation of a parabola that has a vertex (-3, 7) and passes through the point (-2, 11) is y = 11.
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When shopping, Lucinda spent $48. If the amount she spent was 15% of her savings, how much savings did she have before she shopped? Explain how you got your answer.
Which function, g or h, is the inverse function for function ƒ? the function h because the graphs of ƒ and h are symmetrical about the y-axis the function g because the graphs of ƒ and g are symmetrical about the line y = x the function h because the graphs of ƒ and h are symmetrical about the line y = x the function g because the graphs of ƒ and g are symmetrical about the x-axis?
When graphed, a function and its inverse function become symmetrical across the line y = x.
What is a symmetrical function?A function that is symmetric is a function whose variables remain constant regardless of the ways in which the variables are permutated.
Hence When graphed, a function and its inverse function become symmetrical across the line y = x.
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There are (4^2)^3 ⋅ 4^0 horses on a stud farm. What is the total number of horses on the farm?
0
4^6
4^7
4^24
If each of the numbers in the following data set were multiplied by 18 what would be the new median of the data set 14,20,18,58,71,36
Answer:
Step-by-step explanation:
arranging in ascending order
14,18,20,36,58,71
median=(20+36)/2=56/2=28
new median=28*18=504
Answer:
504
Step-by-step explanation:
What sum or difference is equivalent to the following expression 5-3x/5 A 1+3/5 B 1+3x/5 C 1-3x/5 D 25-15x
Answer:
Option C is the answer.
Step-by-step explanation:
The given expression is [tex]\frac{(5-3x)}{5}[/tex]
We solve it further to get the simplified form.
[tex]\frac{(5-3x)}{5}[/tex] = [tex]\frac{5}{5}-\frac{3x}{5}[/tex]
= [tex](1-\frac{3x}{5})[/tex] [Since [tex]\frac{a-b}{a}=\frac{a}{a}-\frac{b}{a}][/tex]
Therefore, option C matches the simplified form of the expression.