The number of people who visited a state park over the last nine years is recorded in the table.
Drop Down answers
The visitor data is best modeled by a function.
Linear, Quadratic, Square Root
Based on the model, the state park management should plan for than 400 visitors next year.
Less, More
The visitor data is best modeled by a quadratic function, and the state park management should plan for more than 400 visitors next year.
How to determine the model of the function?To do this, we simply plot the points on a graph.
See attachment for the graph that represents the table.
From the attached graph, we can see that the points on the graph follows an approximately quadratic path
Hence, the visitor data is best modeled by a quadratic function
Also, the state park management should plan for more than 400 visitors next year.
This is so because the range of a quadratic function is the set of all real numbers.
This means that the table can accept a value of 400 (or greater) as one of its data points
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PLSS ANSWER!!!
In the circle, O is the center. The radius of the circle is 6 feet. Find the area of the shaded
sectors. Round to the nearest hundredth
12.57
Step-by-step explanation:
Area = πr²
40/360 × 22/7 × 36
1/9 × 22/7 × 36
(22 × 4)/7 = 12.57
find the surface area of the cube
Answer:
150
Step-by-step explanation:
Knowing that a cube has 6 faces which all are equal.
Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.
Since, it given that one face is 5 cm
Then, we also must know the formula for area of a cube
Which is:
[tex]Area=6a^2[/tex]
Thus,
[tex]Area=6a^2[/tex]
[tex]Area=6(5)^2[/tex]
[tex]Area=6(25)[/tex]
[tex]Area=150[/tex]
Kavinsky
A cable extends from the top of a radio tower to a point 360 feet from the base of the tower. If the
cable is 850 feet long, how tall is the tower?
Step-by-step explanation:
we have a right-angled triangle :
the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.
then the ground distance (360 ft) and the height of the tower are the 2 legs.
so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse.
in our case
850² = 360² + height²
height² = 850² - 360² = 592,900
height = 770 ft
the tower is 770 ft tall.
Answer:
770 feet
Step-by-step explanation:
Given
Cable = 850 feet longExtends from radio tower to a point 360 feet from the base of a towerSolving
Using the Pythagorean Theorem, we can find the height(distance from base)² + (height)² = (length of cable)²height² = (850)² - (360)²height² = 722,500 - 129,600height² = 592,900height = √592,900height = 770 feetb) The mean of 7, 5, 0, 1, 3, 4 and h is 10. Find the value of h.
Step-by-step explanation:
mean =10
sum of no =7+5+0+1+3+4+h=20+h
N=7
now
mean=sum of no/N
10=20+h/7
10×7=20+h
70-20=h
h=50
If the tax on a $25 shirt is 10%, what would the final cost be?
Answer: $27.5
Step-by-step explanation:
10 percent of 25 is 2.5 (which is the tax). We just add that to the cost of the shirt and we get the final cost of $27.5.
11. Graph the following equation and if possible, determine the slope.
y= -3
Please help I will mark you as brainiest
Answer:
A. m = 0
Step-by-step explanation:
The slope is 0 as the change in y-value is 0, and change in x-value is infinite.
Graph
What is the base of this figure?
Step-by-step explanation:
do you mean "base area" ?
and this is relative, friend how the object is placed on the ground.
the way it is depicted, the base is a triangle.
and the area of a triangle is
baseline × height / 2
in our case
11 × 4.3 / 2 = 23.65 cm²
(rounding) 17.23. whats the nearest tenth?
Answer:
17.2
Step-by-step explanation:
23 ⇒ Below 5, round down
20 ⇒ Add to decimal
17. 23 ⇒ 17.2 / 17.20
PLS HELP!!!!!!!! GEOMETRIC SEQUENCE!!!!!
Answer:
-256
Step-by-step explanation:
The numbers are being multiplied by 2.
( -4 * 2 = -8)
(-8* 2 = -16)
At the end of the winter, coats are on sale for 75% off. If a heavy coat was priced
at $120 after taking the discount, then how much will the coat ring up for at the register
if the tax is 6%?
Answer:
the answer is $31.80
Step-by-step explanation:
6% of $120.00 is $7.20,
75% off of 127.20= $31.80
From previous experience, the owner of a Apple orchard knows that the mean weight of a gala Apple is 140 grams. This year there has been more precipitation than usual and the owner believes the weights of the apples will be heavier than usual. The owner takes a random sample of 30 apples and records their weights. What is the appropriate inference procedure?
The appropriate inference procedure is the t test for μdiff.
What is the t test?The t test is used to compare the means of two groups. It is a very important tool that can be used in inferential statistics.
Since it shows whether the means of two groups are significantly different, we can say that, the appropriate inference procedure is the t test for μdiff.
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Which ratio table below does not represent a proportional relationship between the number of laptop and desktop computers being sold at an electronics store?
Answer:
table 1
Step-by-step explanation:
a table represents a proportional relationship between the number of laptop and desktop computers ,if the ratio of the number of desktop computers to laptops is a constant (doesn’t vary)
Table1 : (does not represent a proportional relationship) because :
11÷10=1,1
46÷42=1.09...
and 1.1 ≠ 1.09
Table2 : (represents a proportional relationship) because :
3÷6=0.5
9÷18=0.5
18÷36=0.5
72÷144=0.5
Table3 : (represents a proportional relationship) because :
18÷12=1.5
36÷24=1.5
54÷36=1.5
108÷72=1.5
Table4 : (represents a proportional relationship) because :
2÷3=0.666666666667
18÷27=0.666666666667
22÷33=0.666666666667
200÷300=0.666666666667
Question 1 Part B (3 points): Using the GCF that you chose in part A, factor that GCF out of the polynomial:
18x3 + 6x2y - 9x2 - 3xy
A.
6x(3x² + xy -9x - y)
B.
x²(18x + 3y - 9)
C.
3x(6x² + 2xy - 3x - y)
D.
x(18x² + 6xy - 9x - 3y)
The factor of the polynomial 18x³ + 6x²y - 9x² - 3xy will be 3x(6x² - 2xy - 3x - y). Then the correct option is C.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ 18x³ + 6x²y - 9x² - 3xy
Then the factor of the polynomial will be
⇒ 18x³ + 6x²y - 9x² - 3xy
⇒ 3x(6x² - 2xy - 3x - y)
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The dot plot below represents how long it takes students in an 8th grade math
class to get to school every morning.
COMMUTE TIME
......
...
:
...
G...
-
10
20
25
30
35
40
45
Minutes
What was the shortest commute time?
minutes
ann
Answer:
5 minutes
Step-by-step explanation:
3. Cups are sold in packages of 8. Napkins are sold in packages of 12.
a. What is the fewest number of packages of cups and the fewest numb
packages of napkins that can be purchased so there will be the same
cups as napkins?
b. How many sets of cups and napkins will there be?
Answer:
A. The fewest number of packages of cups and napkins that can be purchased so that they will be the same is 3 packages of cups and 2 packages of napkins.
B. I'm not sure what this part is asking, I hope someone else comes in and helps.
Step-by-step explanation:
Part A Explanation:
3 packages of cups gives you 24 cups total
2 packages of napkins gives you 24 napkins total
Freida deposited money into a savings account. After a year the account had $4,200. If the interest rate is 5%, how much money did Frieda originally deposit?
Answer:
There is a total of 200 dollars profit
Will mark brainlist to whoever answers first
(3).
Answer:
70
Step-by-step explanation:
in parallelograms, the measure of reciprocal angles is equal to 180 because they are supplementary,
m<D = 110 so the measure of m<A which is reciprocal to m<D is equal to 70
describe the end behavior of f(x)=2x^3
Answer:
as x→+∞, f(x)→+∞ as x→-∞,f(x)→-∞
Step-by-step explanation:
!PLEASE HELP ASAP!
What do we call the statistic when we are measuring whether individuals have a certain characteristic that is either present or not?
Answer:
A parameter is a numerical description of a population characteristic
Step-by-step explanation:
A parameter is a numerical description of a population characteristic
Areas of Southeast Asia were very desirable, especially because of their rich soil and these lands
A. Putrid
B. Grotesque
C. Arable
Answer:If im correct the answer is C
Step-by-step explanation:
HELP IM STUCK ON THIS QUESTION
Answer:
FOR THE AREA:
Count how many full squares are in the middle, then count how many halves there are on the outer edge. the divide the amount of halves by 2 then add to the amount of full squares.
In a class of 34 students
12 study German
• 25 study Spanish
6 do not study either language.
One student in the class is selected at random.
Find the probability that this student studies both languages.
Answer:
Step-by-step explanation:
Mr. Emmer gave a test in his Chemistry class. The scores were normally distributed with a mean of 82 and a standard deviation of 4. A student is randomly chosen. What is the probability that the student scores a 70 or below? Use the formula for a z-score z = x - mu/infinity where x is the given value, mu is the mean and infinity is the standard deviation. Then refer to the chart on page 11 of the lesson to find the probability. a. .0668.b. .0179.c. .0013.d. .5000.
The probability that the student scores a 70 or below is 0.0013
How to determine the probability?The given parameters are:
Mean, μ = 82Standard deviation, σ = 4The probability that a student scores 70 or below is represented as:
P(x ≤ 70)
Calculate the z score for x = 70 using:
[tex]z =\frac{x - \mu}{\sigma}[/tex]
This gives
[tex]z =\frac{70 - 82}{4}[/tex]
Evaluate
z =-3
The probability becomes
P(x ≤ 70) = P(z ≤ -3)
Using the z tables of probabilities, we have:
P(x ≤ 70) = 0.0013499
Approximate
P(x ≤ 70) = 0.0013
Hence, the probability that the student scores a 70 or below is 0.0013
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If a perfume store currently sells perfume for $30 a bottle and averages 2000 bottles sold per month, what sales might they anticipate if they raise the price to $40 a bottle
The sales they might anticipate if they raise the price to $40 a bottle is $1,500.
Anticipated salesUsing this formula
Anticipated sales=(Current selling price÷Increase in price)×Number of bottle sold
Let plug in the formula
Anticipated sales=($30÷$40)×2,000
Anticipated sales=$0.75×2,000
Anticipated sales=$1,500
Therefore the sales they might anticipate if they raise the price to $40 a bottle is $1,500.
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The cost of a taxi fare is $5 plus $1.50 per kilometre travelled. a) Derive a formula for calculating the cost, $P, of travelling n km. b) Use your formula to calculate the cost of travelling 25 km. please help me
Answer:
Step-by-step explanation:
Formula
P = 5 + 1.50n
P is the total Cost
n is the number of Km travelled.
Solution
Substitute n = 25 into the formula
P = 5 + 1.5 * 25
P = 5 + 37.5
P = 42.50
Answer
42.50 dollars for 25 km.
In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students
at random who have already taken the exam. The students are enrolled in a six-week prep course to improve their
scores. After the prep course, the students take the college-entrance exam again. The mean difference (first-
second) in exam scores is -1.75 points with a standard deviation of 7.12 points. Assuming the conditions for
inference are met, what is the test statistic for testing the hypotheses Hoi Hoi = 0; He Moip <0?
O 1-1.75 -0
7.12
35
o
0+ 1.75
7.12
35
-1.75 -0
7.12
35
=
1.75 -0
7.12
35
Nex
Submit
Mark this and return
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
What are the hypotheses tested?At the null hypotheses, it i tested if the mean difference remains the same, that is:
[tex]H_0: \mu = 0[/tex]
At the alternative hypotheses, it is tested if it has decreased, hence:
[tex]H_a: \mu < 0[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The parameters are given as follows:
[tex]\overline{x} = -1.75, s = 7.12, n = 35[/tex].
Hence the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
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The richter scale measures the magnitude, m, of an earthquake as a function of its intensity, i, and the intensity of a reference earthquake, . which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake? a. b. c. d.
The magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
What is magnitude?magnitude can be regarded as the size or the weight of destruction that is been experienced as a result of the earthquake.
The magnitude as regards Richter scale is
[㏒(I/I₀]
But we were given l as 10000I₀.
Then if we substitute we have, [㏒(10000I₀./I₀)]
If we simplify we have:
[㏒10000]
Therefore, magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
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please please can someone help me
[tex] \sf nonsense = reported[/tex]
Answer:
See below ~
Step-by-step explanation:
Q1
The line graph shows Sarah's daily expenses in school every day of the weekQ2
Sarah spent 60 - 10 = 50 pesos more on Thursday than WednesdayQ3
Total Daily Expenses = 25 + 30 + 10 + 60 + 35Total Daily Expenses = 55 + 70 + 35Total Daily Expenses = 90 + 70Total Daily Expenses = 160 pesosQ4
She spent the most on Thursday most likely to pay a fee for a school event like a field trip, party, etc.Q5
If she continues to spend Php 60 a day, then her spending will increase to Php 300 per weekQuestion 7 of 10
Find any domain restrictions on the given rational equation:
X-4+50
4x-12x²+x-12 2
Select all that apply.
A. x = 0
B. x = 3
C. x = 4
D. x = -4
The domain restrictions on the rational function [tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex] are (b) x = 3 or and (d) x = -4
How to determine the domain restrictions?The function as expressed in the correct format is:
[tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex]
Factorize the denominators of the fractions
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x^2 + 4x- 3x - 12} = \frac{x}{2}[/tex]
Factor out x and -3
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x(x + 4)- 3(x + 4)} = \frac{x}{2}[/tex]
Factor out x + 4
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{(x- 3)(x + 4)} = \frac{x}{2}[/tex]
Set the denominators to 0
4(x - 3) = 0
(x - 3)(x + 4) = 0
Solve for x:
4(x - 3) = 0 ⇒ x = 3
(x - 3)(x + 4) = 0 ⇒ x = 3 or x = -4
This means that the domain restrictions on the rational function are (b) x = 3 or and (d) x = -4
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