The equation of the scenario is y = 8 + 0.25x and the domain is x ≥ 0 and the range is y ≥ 8
How to determine the equation?The given parameters are:
Entrance fee = $8Rate = $0.25 per personLet the total cost be y, and the number of people be x.
The equation would be:
y = Entrance + Rate * x
This gives
y = 8 + 0.25x
Hence, the equation of the scenario is y = 8 + 0.25x
The table of valuesSet x = 0 to 5, and calculate the function values
y = 8 + 0.25 * 0 = 8
y = 8 + 0.25 * 1 = 8.25
y = 8 + 0.25 * 2 = 8.50
y = 8 + 0.25 * 3 = 8.75
y = 8 + 0.25 * 4 = 9.00
y = 8 + 0.25 * 5 = 9.25
So, the table of values is:
x y
0 8
1 8.25
2 8.50
3 8.75
4 9.00
5 9.25
The domain and the rangeThe domain is the set of people that can get in (i.e. at least 0), while the range is the total amount (i.e. at least the entrance fee)
Hence, the domain is x ≥ 0 and the range is y ≥ 8
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3. There are 1800 students in a school, out of which 950 are girls and the rest are
boys. If 40% of the girls and 30% of the boys come to school by public transport,
find the number of students who come to school through other modes of
transportation?
The number of students who come to school through other modes o transportation is 1,165.
How do we solve a percentage problem?The number of students who come to school through other modes o transportation can be calculated as follows:
A = Number of girls that uses other modes o transportation = (100% - 40%) * 950 = 570
B = Number of boys that uses other modes o transportation = (100% - 30%) * (1800 - 950) = 595
C = Total number of studens that uses other modes o transportation = A + B = 570 + 595 = 1,165
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guys please help me outttt
ANSWER :-
There are total 8 types of pets represented by the dot plot . They are :
2 rabbit6 dog3 cat2 horse5 bird1 mouse3 fish1 otherWhich pet is the most popular ?ANSWER :-
Dog is the most popular pet
HOPE THIS HELPS :)Step-by-step explanation :
Liza's classmates have owned two rabbits , six dogs , three cats , two horses , five birds , one mouse , three fishes and one other pet.
Therefore,
There are 8 type of pets owned by dot plot.Now, we can easily count or see the pet which is in larger quantity as compared to others.
So the most popular pet owned is dog.
given that y= 6 cm and θ= 32 °, work out x rounded to 1 dp.
(not drawn to scale)
X=7.1cm
The solution is in the attached file
8) can u answer this question pls
Answer: 346.19cm²
Step-by-step explanation:
π= 3.14
Divide 21 (the diameter) by 2 to get the radius( it 's half of the diameter). so the radius is 10.5
Area= πr²
= 3.14x10.5x10.5
= 346.185
So next round up the value you got to the nearest tenth, so when u round up to the nearest tenth you get 346.19
There are two pieces of wires, each of length 66 cm. One wire is bent into a square and the other wire is bent into a circle. Find (a) the area of the square, (b) the area of the circle.
Answer:
Area of Circle = 346.5 cm².
Area of square = 272.25 cm ² .
Step-by-step explanation:
So , 2πR = 66
2 × 22 / 7 × R = 66
R comes out is 21/2 cm .
Area of Circle = 22/7 × 21/2 × 21/2 = 33×21/2
= 693 / 2 = 346.5 cm².
If bent into the shape of a square ;
4 a = 66
a = 33/2 . ( Side of a square )
Area of square = a ² = 33×33/4 = 1089/4
= 272.25 cm ² .
Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
student in my class?
in my class?
How many servings of fruit did
I eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?
Answer:
Which questions are statistical questions?
what is the number of students what is the height of each in my class?
how many servings of fruit did eat each day this month?
what is my height?
what is the highest temprature
of each month this year?
how many students from each school in this city love football?
Step-by-step explanation:
Need to include numerical values
hope this helps!
A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is
well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.
[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]
Determine if the two triangles are congruent. If they are, state how you know
A) ASA
B) AAS
C SAS
D SSS
f(x) = x+3
g(x)=2x² - 4
Find (f g)(x)..
OA. (f.g)(x) = 2x³ - 12
B. (f g)(x) = 2x³ + 12
c. (f.g)(x) = 2x³ + 6x² - 4x-12
OD. (f.g)(x) = 2x³ + 6x² + 4x+12
Answer:
I got 2x^3+3x^2-4x-12
Step-by-step explanation:
I hope this helps a little bit
what is the slope of the line graphed below?
Answer:
5
Step-by-step explanation:
the gradient is 5
change in Y over change in X
Julian has partially filled the prism below with 16 unit cubes.
A rectangular prism with a length of 4, height of 3, and width of 3.
How many more unit cubes will he need to completely fill the prism?
11
20
25
36
He needs 20 more unit cubes to completely fill the prism
How to determine the number of unit cubes?The dimension of the prism is given as;
4 by 3 by 3
The volume is calculated as:
Volume = 4 * 3 * 3
Volume = 36
He has already filled 16 units.
So, the units remaining is
Remaining = 36 - 16
Evaluate
Remaining = 20
Hence, he needs 20 more unit cubes to completely fill the prism
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What is the value of m in the equation m-n=16, when n = 8?
20
32
44
48
Answer: 24
Step-by-step explanation:
m - 8 = 16
m = 24
Answer:
24
Step-by-step explanation:
To find the value of "m", you need to plug n = 8 into the equation.
m - n = 16 <---- Original equation
m - 8 = 16 <----- Plug 8 in for "n"
+ 8 + 8 <---- Isolate "m" by adding 8 to both sides
m = 24 <----- Final answer
Write the expression in repeated multiplication form. Then write the expression as a power.
(6^4)^2
The expression in repeated multiplication form is
The expression as a power is
Answer:
6^8
Step-by-step explanation:
(6^4)(6^4)
6^8
or something like that
all trigonomic equations are identities true or false
Answer:
False
Step-by-step explanation:
because trigonometric identities are true for ALL angles, whereas trigonometric equations are NOT true for ALL angles.
The statement "all trigonometric equations are identities" is false.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
Trigonometric equations can be identities or conditional equations. An identity is an equation that is true for all values of the variable(s) involved. Examples of trigonometric identities are sin²θ + cos²θ = 1 and tanθ = sinθ/cosθ.
On the other hand, conditional equations are true only for certain values of the variable(s) involved. For example, sinθ = 0 has solutions only at θ = nπ, where n is an integer.
Therefore, not all trigonometric equations are identities. Some are conditional equations that are true only for specific values of the variables involved.
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1. ¿Cuál es la altura del asta bandera, si a
cierta hora del dia el ángulo que forma el
extremo de su sombra con la punta del asta
mide 37°?
37°
20 m
The height of the was determined using SOH CAH TOA. Because we have the Adjacent angle and the base of the phenomenon, the height of the triangle is
What is SOH CAH TOA?The SOH CAH TOA simply means:
Sin A = Opposite/Hypothenuse
Cos A = Adjacent / Hypothenus
Tan A = Opposite /Adjacent
SolutionNote that we have the base as 20 meters and Adjacent angles "A" as 37°.
Given that
Tan A = Opposite /Adjacent; we have
Tan 37° = Opposite (Height)/ 20 meters (Adjacent)
0.7536 = Height/ 20
Make Height the subject of the formula by multiplying both sides by 20.
Hence,
Height = 0.7536 * 20
= 15.072
≈ 15m
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Please help me identify the graph
Answer: F
Step-by-step explanation:
We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.
This eliminates D and E.Also, its modulus is the distance from the origin, which in this case is [tex]\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16[/tex]
The answer that best matches this is F
fashoo G-looks brosay
Answer:
what are you talkin bout fam? you speakin gibberish rn
Step-by-step explanation:
During a sale, a store offered a 10% discount on a camera that originally sold
for $430. After the sale, the discounted price of the camera was marked up by
10%. To the nearest whole number, what percent of the original price was the
price after markup?
Answer:
$4,30 that is the answer I'd my working on paper
Answer:
425.70
Step-by-step explanation:
Look at the photo and answer the question.
Please don’t just put the answer at the top of the text and don’t make it hard to find.
Answer:
second option
Step-by-step explanation:
5 newton pushing it to the right
while a mere 4 newton pushing it to the left
more force pushing towards right
and final part sorry brainly
Answer:
15 2/3
Step-by-step explanation:
4 2/3 = 14/3
11 = 33/3
14/3 + 33/3 = 47/3
47/3 = 15 2/3
A grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of the silo if it has a height of 41 m and a diameter of 12 m. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)
The volume of the silo = volume of the hemisphere + volume of the cylinder ≈ 4,410.8 m³.
What is the Volume of a Hemisphere and Cylinder?Volume of a hemisphere = 2/3πr³
Volume of cylinder = πr²h
The volume of the silo = 2/3πr³ + πr²h
r = 12/2 = 6 mh = 41 - 6 = 35 mPlug in the values
The volume of the silo = 2/3π(6³) + π(6²)(35) ≈ 4,410.8 m³
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Answer:
989.6 m^3
Step-by-step explanation:
refer to images hope this helps x
What is the distance between the points located at (5, 1) and (10, 11) ?
[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]
[tex] \sf \red{What \: is \: the \: distance \: between \: the \: points \: located \: at \: (5, 1) \: and \: (10, 11) ?}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Let, the points be A(5,1) and B(10,11) on the number line.
Here,
[tex]x_{1}[/tex] = 5. [tex]x_{2}[/tex] = 10
[tex]y_{1}[/tex] = 1. [tex]y_{2}[/tex] = 11
We,know that to find distance between two points, the formula is:
[tex] \sqrt{( {x}_{2} - {x}_{1})^{2} + ( {y}_{2} - {y}_{1} )^{2} } \\ \\ = \sqrt{(10 - 5) ^{2} + (11 - 1)^{2} } \\ \\ = \sqrt{ ({5)}^{2} + ( {10})^{2} } \\ \\ = \sqrt{25 + 100} \\ \\ = \sqrt{125} \\ \\ = 11.18[/tex]
Therefore, the distance between the two points (A) and (B) is 11.18
[tex] \boxed{ \frak \red{Hope \: it \: helps \: you}}[/tex]
Change each value of the quadratic equation. How does it change the graph?
Answer:
ty for points bye bye ok bye
if there are ten marbles, 2 yellow, 3 pink, and 5 blue, what is the probability of drawling two yellow marbles if the first one is placed back in the bag before the second draw
Answer:
what comprise horn of africa
In the fall of 2003, a magazine article reported that about 87% of adults drink milk. A local dairy farmers' association is planning a new marketing campaign for the tri-county area they represent. They randomly polled 800 people in the area. In this sample, 654 people said that they drink milk. If 87% is the correct percentage of adults who drink milk, what is the probability that the association would observe 654 or less people who drink milk in the sample
Using the normal distribution, it is found that the probability that the association would observe 654 or less people who drink milk in the sample is of 0%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].For the binomial distribution, the parameters are given as follows:
n = 800, p = 0.87.
Hence, the mean and the standard deviation of the approximation are given by:
[tex]\mu = np = 800 \times 0.87 = 696[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{80 \times 0.87 \times 0.13} = 9.5121[/tex].The probability that the association would observe 654 or less people who drink milk in the sample, using continuity correction, is [tex]P(X \leq 654.5)[/tex], which is the p-value of Z when X = 654.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{654.5 - 696}{9.5121}[/tex]
Z = -4.36
Z = -4.36 has a p-value of 0.
0% probability that the association would observe 654 or less people who drink milk in the sample.
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math sos help please.
[tex](\frac{4m^5n^2}{m^2n})^3 = (\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})[/tex]
---Essentially, we're taking the given expression and multiplying it by itself three times. So, we can solve the problem by multiplying fractions or simply distributing the 3 to each term. Remember, we will be multiplying the existing exponents by the 3, not adding 3.
[4^3 m^15 n^6] / [m^6 n^3]
---Now, we need to simplify the expression. Since there are 15 m's on the top, and 6 m's on the bottom, we can take 15 - 6 to now have only 9 m's on the top.
64 m^9 n^3
Answer: A
Hope this helps!
Marquis is starting a fast food job during his senior year of high school. he lives with his parents and they will claim him as a dependent on their taxes this year. he earns $2000. based on how he completed his w-4, his employer withheld $200 in federal income taxes from his paychecks. what will happen if marquis doesn't file taxes in april?
*
nothing will happen, but marquis will miss out on his potential refund.
the irs will refund his $200 directly to him.
the irs will refund his $200 to his parents.
the irs will fine marquis $75 or more for not filing taxes.
What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.
What is the impact of withholding taxes?
Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.
Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.
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(0.6.01) The probability that an event will occur is 2/3. Which of these best describes the likelihood of the event occurring?
A. Likely
B. Certain
C. Unlikely
D. Impossible
the right answer of this question is
C. unlikely
mplete the solution of the equation. Find the
ue of y when x equals 0.
- 3x + 2y = -4
Enter the correct answer.
18
DONE
all
000
+?
Answer:
-2
Step-by-step explanation:
If x=0
-3(0)+2y=-4
-0+2y=-4
We can say
2y-0=-4
2y=-4
Dividing both side by 2,
y=-2
Find the slope of the line passing through the points -2,7 and -6,3
Answer: the slope is 1
Step-by-step explanation:
m = y2 - y1 / x2 - x1
m = 7-3 / -2+6
m = 4/4
m=1