The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. The four points shown on the graph are ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars.
Write an equation to represent the relationship between the total cost (y) and the number of bags of peanuts (x).
y = 4x
y = one-fourth x
y = 3x
y = one-third x
Answers
Answer:
dive the cost by the number of bags for each dot:
4 / 1 = 4
8 / 2 = 4
12 / 3 = 4
This means each bag cost $4
The equation would be Y = 4X, because you would multiply each bag bought (X) by $4 to get the total cost (Y).
Step-by-step explanation:
BRAINLYIS TPLS
Related Questions
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs
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Answer
2.7 < x < 4.0
2.7, 4.0
what is the probability that the lifetime of at least one component exceeds 2? (do not round intermediate values. round your answer to three decimal places.)
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The probability that the lifetime of at least one component exceeds 2 is 0.135.
Given that the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image.
We want to find the probability that the lifetime of at least one component exceeds 2.
The probability that the lifetime of at least one component exceeds 2 is P(X>2).
\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}f(x,y)dydx\end\)
Now, we will substitute the given function, we get
\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}xe^{-x(1+y)}dydx\end\)
Further, we will simplify this, we get
\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\left[-e^{-x(1+y)\right]_{0}^{\infty}dx\\ &=\int_{x=2}^{\infty}e^{-x}dx\\ &=\left[-e^{-x}\right]_{2}^{\infty}\\ &=e^{-2}\\ &=0.135\end\)
Hence, the probability that the lifetime of at least one component exceeds 2 for the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image is 0.135.
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What value of y makes this equation true? 8(y - 9) = 24
Answers
Answer:
12
Step-by-step explanation:
We know that 8x3=24, so we have to find what would equal 3 in the parenthesis.
12-9=3
The correct equation would be 8 (12-9) =24, or to be very simple, 8x3=24.
So y=12.
From a barrel of colored marbles, you randomly select 6 blue. 4 yellow, 2 red, 3 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not yellow.
Answers
Add all that are not yellow: 16
Divide 16/20
Answer: 4/5
What is 3(x-2)=27 I need help fast
Answers
Select the correct answer.
Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?
A. x ≥ -4
B. x ≤ -4
C. x ≥ 8
D. x ≤ 8
Answers
Answer is B: x≤-4
Step-by-step explanation:
-2(3x+6)≥4(x+7)
distribute
-6x-12≥4x+28
add 12 on both sides and subtract 4x on both sides
-10x≥40
divide by -10 on both sides. keep in mind that this flips the inequality sign.
x≤-4
Answer:B
Step-by-step explanation:
Someone please help me on this!!
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Answer:
Four percent
Step-by-step explanation:
I NEED HELP !
this is trigonometry, have to use the sine law and show work
Answers
Help me with this question please
Answers
Next, you need to count the number of scores that are less than or equal to 71. In this case, there are 6 scores that are less than or equal to 71, so the percentile rank of a score of 71 on
this test is 6/15 = 40%.
To find the score that corresponds to the 60th percentile, you need to count the number of scores that are less than or equal to the 60th percentile. In this case, there are 9 scores that are less than or equal to the 60th percentile, so the score that corresponds to the 60th percentile is 85.
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.
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Josiah's mistake is (b) He did not multiply the numerator and denominator by the correct number to equal 1,500
The proportion is given as:
Multiply both sides by 1500
Evaluate the expression on the right-hand side
Multiply 10 by 1500 on the left-hand side
Divide 15000 by 20 on the left-hand side
Rewrite the equation as:
From the question, we can see that the products are not well carried out.
Hence, Josiah's mistake is (b)
If possible, find the area of the triangle defined by the following: b = 45, c = 20, a = 71°.405.2 square unitso189.1 square units465.4 square units425.5 square units
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We will find the area of the triangle as follows:
\(A=(45)(20)\frac{\sin(71)}{2}\Rightarrow A=425.483359\ldots\)\(\Rightarrow A\approx425.5\)So, the area of the triangle is approximately 425.5 square units.
what will we end up with when we substitute into the formula?
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Determine if the triangles are similar by Angle-Angle similarity
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The triangles are similar by Angle-Angle similarity since they are congruent.
What is Angle-Angle Similarity?According to the Angle-Angle Similarity Theorem, if two angles in one triangle are equal to two angles in another triangle, the triangles are similar. The triangles are similar if two pairs of corresponding angles in a pair of triangles are congruent. We know this because if two angle pairs are equal, then the third pair must be equal as well.
Two triangles with two angles, starting with Triangle 1, one measuring 47 degrees and the other measuring 53 degrees, are congruent to two angles in Triangle 2. Following the AA similarity theorem, it is assumed that Triangle 1 is similar to Triangle 2.
In this case, angle MNP = angle QPL (corresponding angles, //lines) (A)
angle QLP is common angle (A)
By AA, the 2 triangles are similar.
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Which of the following inequalities does the graph represent? 3 + 2. 1 1 2 3 O-} 3 O -
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Therefore , the solution of the given problem of inequality comes out to be C, 3>t>-1, or -1<t<3.
What exactly does inequality mean?Even without an equal sign, an inequality in mathematics is a line of connection or a group of integers. Equilibrium is always followed by equity. Inequality occurs when two values are not equal. Differences occur between equality and inequality. It was decided to use the most prevalent symbol because when factors aren't either identical or similar (). No matter that so few or many disparities there are, they can all be used to evaluate values.
Here,
so we believe the inequality depicts the shaded rectangle.
You must understand what the phrase means.
the point where the line ends at -1 is shaded in, indicating that values above -1 and including -1 are in the solution -1t. Since the line runs from -1 to 3, t is more than -1 and less than 3 so -1>t>3. However, there are special points.
the other point, which is at 3, is not coloured in, which means that points below 3 and outside of 3 are included, resulting in t<3 .
the answer is C, 3>t>-1, or -1<t<3.
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The complete question is "Which of the following inequalities does the graph represent?
A.3 ≤ t ≤ –1
B.3 ≤ t < –1
C.3 > t ≥ –1
D.3 ≥ t > –1
"
\begin{cases} g(1)=4 \\\\ g(n)=g(n-1) + 3.2 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ g(1)=4 g(n)=g(n−1)+3.2
Answers
Answer:
Vhsehafyru You know you are not a big fan of the way that I love my life
Step-by-step explanation:
Beavers are going there yy to go to school and earth and earth earth solar system solar solar system solar energy solar power
Guide
The table shows the height of a child, in contimeters, at different ages.
Height of a Child
Age (years)
2
3
5
7
15
12
Holght (cm)
84.5
90.5
105.0
119.0
125.5
151.5
Create an equation to model the relationship between the height, in centimeters, and the age, in years, of this child.
Show your work or explain your equation. Be sure to include the limitations of your equation.
Enter your equation, your work or explanation, and the limitations in the box provided.
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The estimated height of the child at delivery is represented by the y-intercept, which is 72.66.
What is an equation to model the relationship between the height, in centimeters, and the age, in years, of this child?We may use linear regression to construct an equation that represents the link between this child's height and age. The line of best fit for the supplied data is determined by linear regression, which can be written as:
Age (years) + b * m * Height (cm)
where m denotes the line's slope and b its y-intercept.
The equation that most closely matches the above data can be determined using a calculator or spreadsheet software as follows:
Age (years) + 72.66 Height (cm) = 6.087
Thus, the height of the youngster increases by roughly 6.087 centimetres for every year that their age rises. The estimated height of the infant at delivery is represented by the y-intercept, which is 72.66.
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Mr. Littles is building a triangular sandbox using three boards. He already has two boards that measure 9 feet and 12 feet. Select all of the values that could represent the length of the third board of his triangular sandbox.
Answers
Answer:
9 feet, 15 feet, 19 feetStep-by-step explanation:
Options are:
2 feet 3 feet 9 feet 15 feet 19 feet 21 feet 30 feet-------------------------------------
Use the triangle inequality theorem: sum of any two side must be greater than the third side by length
2 feet ⇒ no, as 2 + 9 < 123 feet ⇒ no, as 3 + 9 = 129 feet ⇒ yes15 feet ⇒ yes19 feet ⇒ yes21 feet ⇒ no, as 9 + 12 = 2130 feet ⇒ no, as 9 + 12 < 30X
Multiply by taking
Multiply.
20 X 600
Stuck? Review related articles/videos or use a hint.
Answers
…………
y = 2x - 5
Does the equation show a proportional relationship?
Yes
No
Answers
Answer:
yes
Step-by-step explanation:
yes
On July 8 , Jones Inc. issued an $74,200,6%,120-day note payable to Miller Company. Assume that the fiscal year of Jones ends July 31 . Using a 360 -day year, what is the amount of interest expense recognized by Jones in the current fiscal year? When required, round your answer to the nearest dollar. a. $4,452 b. $568 c. $284 d. $852
Answers
The amount of interest expense recognized by Jones Inc. in the current fiscal year for the $74,200, 6%, 120-day note payable is $852.
To calculate the interest expense, we need to determine the interest for the 120-day period using a 360-day year. The formula for calculating interest is Principal × Rate × Time.
In this case, the Principal is $74,200, the Rate is 6% (0.06 as a decimal), and the Time is 120 days divided by 360 days.
Interest = $74,200 × 0.06 × (120/360) = $852.
Therefore, the correct answer is option d. $852, which represents the amount of interest expense recognized by Jones Inc. in the current fiscal year.
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Two firms producing identical products engage in price competition. Cost of firm 1 is $20 per unit produced and cost of firm 2 is $15 per unit produced. There are no fixed costs. Firms produce only after they learn the quantity demanded. Each firm can choose any real number in the interval [15,25] as its price.
For tie-breaking we will assume that if both firms set the same price, all consumers purchase from firm 2.
The payoff/profit function of firm 1 is:
(p1 - 20)(100 - p1) if p1 is less than or equal to p2,
0 if p1 is greater than p2
The payoff/profit function of firm 2 is:
(p2 - 15)(100 - p2) if p2 is less than p1,
0 if p2 is greater than or equal to p1
Given all of this information, solve the following parts of the problem:
a) is p1 = 20, p2 = 19.50 a Nash Equilibrium?
b) is there a Nash Equilibrium in which Firm 2 makes a positive profit?
c) How many strategies does player 1 have?
d) is p1 = 15, p2 = 15 a Nash Equilibrium?
e) is p1 = 21, p2 = 21 a Nash Equilibrium?
Answers
a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.
b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.
c) Player 1 has infinitely many strategies.
d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.
e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.
What is Nash Equilibrium?Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.
Finding Nash Equilibrium
a) Is p1 = 20, p2 = 19.50 a Nash Equilibrium?No. Firm 1 has an incentive to decrease the price to 19.49, thus breaking the tie in its favour. So p1=20, p2=19.5 is not a Nash equilibrium.b) Is there a Nash Equilibrium in which Firm 2 makes a positive profit?Yes. There are several equilibria in which Firm 2 makes a positive profit. One such equilibrium is when both firms charge the same price of 15, at which both firms earn a profit of 375.c) How many strategies does player 1 have?Player 1 has infinitely many strategies to choose from as they can choose any real number in the interval [15,25] as their price.d) Is p1 = 15, p2 = 15 a Nash Equilibrium?Yes. This is a Nash Equilibrium because neither firm has an incentive to change their strategy as they are earning non-zero profits. Both firms earn a profit of 375.e) Is p1 = 21, p2 = 21 Nash Equilibrium?No. If Firm 1 changes its price to 20.99, its profit increases from 405 to 407.99. Therefore, p1=21 and p2=21 is not a Nash Equilibrium.Learn more about Nash equilibrium at
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. On every third visit to Craft Depot, you receive a free craft kit. On every fifth visit, you receive a discount of $6. After how many visits do you receive the free craft kit and the discount at the same time?
Answers
The number of visits to the Craft Depot in which you'll receive a free craft kit and the discount of $6 is 15 visits.
How many visit will you receive both the free craft kit and the discount?On every 3rd visit= a Free craft
On every fifth visits = a discount of $6
Based on the given task content; it can be solved using the concept of lowest common multiple of both third visit and fifth visit.
3 = 3, 6, 9, 12, 15, 18
5 = 5, 10, 15, 20
The lowest common multiple of third and fifth visits is 15 visits.
Therefore, you'll receive a free craft kit and the discount on the 15th visits
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Rectangle A′B′C′D′ is a dilation of rectangle ABCD.
What is the scale factor?
Enter your answer in the box.
Answers
If you multiply by 4 the two sides of ABCD, you will get the corresponding sides of A’B’C’D’
Answer:
Scale factor = 4
If you multiply by 4 the two sides of ABCD, you will get the corresponding sides of A’B’C’D’
Determine whether each relation is a function. Find the domain and range.
Answers
Answer:
Step-by-step explanation: This is not a function because if you do a pencil check on the points two dots touch the pencil at the same time which does not make it a function.
Write 3/6/7 in an improper fraction in the lowest term
Answers
Answer:
27/7
the mixed number 3 6/7 can be written as 27/7.
The value of an improper fraction in the lowest term is,
⇒ 27/7
We have to give that,
A mixed fraction is,
⇒ 3 6/7
Now, We can change the fraction into an improper fraction as,
⇒ 3 6/7
⇒ (3×7 + 6)/7
⇒ (21 + 6)/7
⇒ 27/7
Therefore, an improper fraction in the lowest term is,
⇒ 27/7
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A. -78
B. 49
C. 53
D. 14
Answers
Answer: 49
Step-by-step explanation:
the rectangular coordinates of a point are s2, 2, 21d. find the cylindrical and spherical coordinates of the point
Answers
The cylindrical and spherical coordinates of the point are (\(\sqrt{8}\),0.78,-1),(3, 0.78rad, 1.91rad) respectively.
Rectangular coordinates of a point is written like (x, y, z)
Cylindrical coordinates of a point is written like (r, θ, z)
Spherical coordinates of a point is written like (p, θ, φ)
First talk about Rectangular vs Cylindrical.
x = rcosθ
y = rsinθ.
z = z
x^2 + y^2 = r^2
given rectangular coordinates as (2,2,-1)
x=2, y=2, z=-1.
r^2 = 4+4 = 8.
r = \(\sqrt{8}\)
r = 2\(\sqrt{2}\)
θ = \(tan \inv-1\)(y/x) = \(tan \inv-1\)(2/2) = \(tan -1\)(1) = 45° = 0.78rad .
z = -1.
So Cylindrical coordinates is (r,θ,z) = (\(\sqrt{8}\),0.78,-1).
Now let's us talk about Rectangular vs Spherical Coordinates.
x = pcosθsinφ.
y= psinθsinφ.
z = pcosφ.
p^2 = x^2+y^2+z^2.
tanθ = y/x
cosφ = z/p = z/\(\sqrt{x^2+y^2+z^2}\).
given rectangular coordinates as (2,2,-1)
x=2, y=2, z=-1.
p = \(\sqrt{x^2+y^2+z^2}\) = \(\sqrt{2^2+2^2+(-1)^2}\) = \(\sqrt{9}\) = 3
θ = \(tan -1\)(y/x) = 0.78rad .
φ = \(cos -1\)(z/p) = \(cos -1\)(-1/3) = 1.91rad
So Spherical coordinates is (3, 0.78rad, 1.91rad).
The cylindrical and spherical coordinates of the point are (\(\sqrt{8}\),0.78,-1),(3, 0.78rad, 1.91rad) respectively.
Given Question is incomplete, Complete Question here
The Rectangular Coordinates Of A Point Are (2,2,-1) Find The Cylindrical And Spherical Coordinates Of the Point,
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A line passes through the point (-2, 6) and has a slope of -9. Write the equation of
the line in point-slope form.
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You make 12 equal payments. You pay a total of $2100. How much is each payment?
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I know what the answer is but the teacher wants me to explain helpppppp
Answers
answer: 8
Steps / explaination