Answer: 3
Step-by-step explanation:You can't start at station 0 or 1, as there is not enough gas to travel to the next station.
Let's start at station 2 and fill up with 4 unit of gas. Your tank = 0 + 4 = 4
Travel to station 0. Your tank = 4 - 3 + 2 = 3
Travel to station 1. Your tank = 3 - 3 + 3 = 3
You cannot travel back to station 2, as it requires 4 unit of gas but you only have 3.
Therefore, you can't travel around the circuit once no matter where you start.
Determine whether y varies with x if so find the constant of variation and write the equation A. No b. Yes k= -2 and y= -2x
The equation is y = 2x and the constant of variation k = 2
Therefore, the correct answer is option d.
Here, we can clearly see that y varies directly with x, because as x increases, y increases with the same proportion and vice versa. The constant of variation, k, is the coefficient of proportionality between x and y. To find the constant of variation, we can divide the value of y by the value of x for any one of the given points.
For example, for the point (-2, -4) we have:
k = -4 / -2 = 2
So the equation relating x and y is: y = kx = 2x
Hence, the equation is y = 2x and the constant of variation k = 2
Therefore, the correct answer is option d.
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The complete question is -
Determine whether y varies directly with x. If so, find the constant of variation and write the equation.
x | y
-2 | -4
-4 | -8
-16 | -32
a. No
b. yes; k=-2 and y=-2x
c. yes; k=1/2 and y=1/2x
d. yes; k=2 and y=2x
Solve this problem
Step by step
The measure of the missing length of the trapezoid is equal to 3√39 units.
How to determine the missing length of a trapezoid
Trapezoids are quadrilaterals with only one pair of congruent sides and two pairs of congruent angles. The relationship between the longest and shortest legs (D, d) in a trapezoid is defined below:
D = d + 2 · c
Where c is the length of the horizontal leg of the right triangle in a trapezoid.
And the missing leg can be found by means of Pythagorean theorem:
x = √(r² - c²)
Where:
r - Hypotenusec - Shortest legx - Longest legFirst, determine the length of shortest leg: (D = 40, d = 26)
40 = 26 + 2 · c
14 = 2 · c
c = 7
Second, find the longest leg by Pythagorean theorem:
x = √(20² - 7²)
x = 3√39
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Please help with math assignment
Answer:
a = 4√2, h = 2√3
Which is the equation of OB?
A. (x - 2)2 + y2 = 16
B. (x + 2)2 + y2 = 16
C. (x - 2)2 - y2 = 16
D. (x + 2)2 - y2 = 16
Use I = P R T I=PRT to find the total amount in the savings account. Type in "money form". $1000.00 at 2.365% for 3 years
Answer:
70.95$
Step-by-step explanation:
P = $1000
R = 2.365%
T = 3 years
[tex]\frac{PRT}{100}[/tex] = [tex]\frac{1000*2.365 * 3}{100}[/tex] = [tex]\frac{7095}{100}[/tex] = 70.95$
Por cada 3 quetzales hay cuatro ajolotes y por cada 8 ajolotes hay 5 lobos mexicanos si hay unapoblacion de 150 quetzales ¿cuantos ajolotes hay?Y cuantos lobos mexicanos hay?
Answer:
Step-by-step explanation:
For every 3 quetzals there are four axolotls and for every 8 axolotls there are 5 Mexican wolves, if there is a population of 150 quetzals, how many axolotls are there? And how many Mexican wolves are there?
Solve for the x and y intercepts of the following. Show all steps. a)2x-5y=20
Solving for x and y intercepts when given an equation:
the x-intercept occurs when y = 0, so we can set y = 0 and solve for xthe y-intercept occurs when x = 0, so set x=0 and solve for yperform inverse operations until x or y is isolatedX-intercept:
[tex]2x-5(0)=20[/tex]
[tex]2x=20[/tex]
[tex]x=10[/tex]
x-intercept occurs at (10,0)
Y-intercept
[tex]2(0)-5y=20[/tex]
[tex]-5y=20[/tex]
[tex]y=-4[/tex]
y-intercept occurs at (0,-4)
Mason invested $65,000 in an account paying an interest rate of 4. 6% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $142,200?
It would take about 17.4 years, to the nearest year, for the value of the account to reach $142,200 if the interest rate is 4.6% and no deposits or withdrawals are made.
Therefore the answer is 17.4 years.
To find out how long it would take for the value of the account to reach $142,200, we need to use the formula for compound interest:
A = P(1 + r)^(t)
Where:
A = the future value of the account
P = the present value of the account ($65,000)
r = the annual interest rate (4.6%)
t = the number of years
We know the future value of the account (A) and the present value of the account (P), so we can substitute these values into the formula and solve for t:
142,200 = 65,000(1 + 0.046)^t
To solve for t, we can take the natural logarithm of both sides:
ln(142,200) = ln(65,000(1 + 0.046)^t)
ln(142,200) = ln(65,000) + t(ln(1 + 0.046))
Then we can divide both sides by ln(1+0.046) and take the power of e:
t = (ln(142,200) - ln(65,000)) / ln(1+0.046)
To the nearest year, this gives us t = 17.4 years.
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An earth day even will cost 15$ for 3 people to attend. If there are four people attending, how much will the Earth Day fun event cost? Pls, Help me!!!!
Answer: 20$
5$ for each person attending. Hope it helps.
Answer:
$20
Step-by-step explanation:
the unit rate (cost per person) is
$15
-------------- = $5/person
3 people
For four people the total cost would be (4 people) ($5/person) = $20
How to solve 40 50 90 triangles
The 40 50 90 triangle can be solved using Pythagoras theorem.
What is the 40 50 90 triangle?A triangle in which both legs are congruent, and the length of the hypotenuse is the length of a leg times the square root of 2.
Given:
We have 40 50 90 triangles.
A triangle with two equal legs whose hypotenuse measures one leg's length multiplied by the square root of two.
Because the length of the hypotenuse in the triangle above equals the length of one of its legs times sqrt(2), which is 3, the triangle is a 40-50-90 triangle.
So, Such type of Triangles can be solved using Pythagoras theorem.
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10 points NO SENDING LINKS JESUS CHRIST
Answer:
387420489
Step-by-step explanation:
I hope this helps if not let me know in the comments
here is the qr code it will show you the steps on how to do it if you click on it
where is the vertex located on the graph of y=(x+7)(x+1)
Answer:
The vertex is (-4, -9)
Step-by-step explanation:
The two roots are located at x = -7 and x = -1, which come from (x + 7) and (x + 1). The axis of symmetry is located halfway between these values, at x = -4. This axis passes through the vertex. The y-value at the vertex is (-4 + 7)(-4 + 1), or -9. The graph is a parabola that opens up. The vertex is (-4, -9).
An 24 m tall statue was carved and the sculptor used a 8 cm. sketch of the statue as a blueprint. What scale did the sculptor use?
How many solutions
y=10x+2
y=8x+2x+2
Answer:
Infinutely many solutions
Step-by-step explanation:
y = 10x + 2 --------- (1)
y = 8x +2x +2
=> y = 10x + 2---------- (2)
(1) -> 10x -y + 2 = 0
(2) -> 10x -y + 2 = 0
a1=10 ; b1=-1 ; c1 = 2
a2=10 ; b2=-1 ; c2= 2
a1/a2 = 10/10 = 1
b1/b2 = -1/-1 = 1
c1/c2 = 2/2 = 1
therefore, a1/a2 = b1/b2 = c1/c2
Therefore the line coincides and there are infinitely many solutions.
Dominique decorates a round cake with fruits. The cake has a diameter of 16 inches. She frosts just the top if the cale. How many square inches of the cake are covered with icing?Use 3. 14 for π
The amount of square inches of the cake that are covered with icing is 201.06, calculated by using the formula (π * radius2), with π equal to 3.14 and the radius equal to 8 inches.
1. Use the formula (π * radius2), with π equal to 3.14
2. The radius is half of the diameter, divide the diameter (16 inches) by 2
3. Radius = 16 inches / 2 = 8 inches
4. Calculate π * radius2: 3.14 * (8 inches)2 = 201.06 square inches
π * (8 inches)2
= 3.14 * (64 inches2)
= 201.06 square inches
Dominique is decorating a round cake with fruits and has frosted just the top of the cake. To determine the area of the cake that is covered with icing, we can use the formula (π * radius2). Since the cake is round, we can determine the radius of the cake by dividing the diameter of the cake (16 inches) by 2, resulting in the radius being 8 inches. We can then calculate the area of the cake covered with icing by multiplying π by the radius squared. Using the number 3.14 for π, the calculation is 3.14 * (8 inches)2, which equals 201.06 square inches. Therefore, 201.06 square inches of the cake are covered with icing.
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For this exponential function,
what is the output value (y)
when the input value (x) is 2?
y = 4.2x
(2, [?])
Enter
The final statement is: y=16
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The exponential function y=4×2ˣ
Therefore for x=2 we get
y=4×2²
y=16
Hence, The value of y at x equal to 2 is 16
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90 minus 10x
ill give 25 points and brainiest
Answer:
80x
Step-by-step explanation:
There is no substitution for the variable so the expression is 80x
How do you solve a 30 60 90 right?
Remembering the ratio of 1: 3: 2 and understanding that the smallest side length is always opposite the shortest angle (30°) and the longest side length is always opposing the greatest angle (90°) can help you recall the 30-60-90 triangle principles.
A 30-60-90 triangle can have three sides, and if you only know one, you can use shortcuts to discover the other two. The three scenarios you encounter when performing these computations are as follows:
You are aware of the short leg (the side across from the 30-degree angle). To determine the hypotenuse, multiply the length by two. The long leg may be calculated by multiplying the short side by the square root of 3.You are aware of the hypotenuse. To get the short side, divide the hypotenuse by two. To determine the long leg, multiply this response by the square root of 3.You are aware of the long leg (the side across from the 60-degree angle). To determine the short side, divide this side by the square root of 3. To determine the hypotenuse, multiply that amount by two.To know more about the 30-60-90 triangle on brainly : brainly.com/question/11751274
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What is 4 sided called?
Answer:
quadrilateral?
Step-by-step explanation:
no links, pls help!!
Answer:
look at the photo x is the red and y is the blue
Boxplots are NOT recommended for use with which of the following types of? distributions?
Choose the correct answer below.
a. Symmetric
b. Unimodal
c. Skewed
d. Bimodal or any multimodal distribution
Due to the fact that they obscure bimodality or any multimodality, boxplots are best reserved for distributions with a single mode.
Which distributions are unimodal?The distribution is said to be symmetrical when the box's whiskers are roughly the same on both sides and the median is in the centre of the box. The distribution is positively skewed if the whisker is shorter on the lower end of the box and the median is closer to the bottom of the box (skewed right).
Due to the fact that they obscure bimodality or any multimodality, boxplots are best reserved for distributions with a single mode.
There is just one peak in a unimodal distribution, two peaks in a bimodal distribution, and three or more peaks in a multimodal distribution. If the data is skewed or symmetric, such information can also be used to characterise the histogram's structure.
Therefore, the correct answer is option b) Unimodal.
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The required correct option for the given question is uni-modal.
Which distributions are uni-modal?The distribution is said to be symmetrical when the box's whiskers are roughly the same on both sides and the median is in the center of the box. The distribution is positively skewed if the whisker is shorter on the lower end of the box and the median is closer to the bottom of the box (skewed right).
Due to the fact that they obscure bi-modality or any multi-modality, box-plots are best reserved for distributions with a single mode.
There is just one peak in a uni-modal distribution, two peaks in a bimodal distribution, and three or more peaks in a multi-modal distribution. If the data is skewed or symmetric, such information can also be used to characterize the histogram's structure.
Therefore, the correct answer is option b) Uni-modal.
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Victoria has a total of 65 dimes and quarters worth $10.70. How many of each type of coin does she have?
Victoria has 37 dimes and 28 quarters in total.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that Victoria has a total of 65 dimes and quarters worth $10.70.
We can write the system of equations as -
x + y = 65
(1/10)x + (1/4)y = 10.70
Refer to the graph attached. On solving the equation graphically, we get-
x = 37, y = 28
Therefore, Victoria has 37 dimes and 28 quarters in total.
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The triangular symbol for "play" on many electronic devices has
the shape of an isosceles triangle. Find the other two angles
if angle P measures 30°.
A triangle that is equilateral has three equal sides and three equal angles.
Find the other two angles if angle P measures 30°?The angles are all 60 degrees each. Two 90-degree angles are formed when the height of an equilateral triangle is drawn to the base of the triangle, and the top angle is divided into two 30-degree angles. A triangle with sides of 30-60-90 always has sides that are 1:3:2.
The 30-60-90 triangle formula for sides y is also known as y3: 2y. The angles of the triangle are always 30, 60, and 90 degrees. Given that one of the angles is 90 degrees, this triangle is always a right triangle. These angles come together to form a right-angled triangle. Furthermore, the right angle is equivalent to the sum of two sharp angles, which will have the ratios of 1: 2 or 2: 1.
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6 divided by 791 (long division with remainders) Grade 4 division worksheet
Therefore , the solution of the given problem of long division is Quotient is 131 and the Remainder is 5
How does long synthetic division take place?Synthetic division is another way to divide a polynomial but by binary x - c, while c is a constant. The divisor frequently assumes the form of (x a). In synthetic division, you are just interested in the coefficients of the polynomials, unlike long division.
Here,
The given Divisor = 6 and Dividend = 791
Step 1: Take the first digit of the dividend from the left. ...
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
long division is a method for dividing large numbers into steps or parts, breaking the division problem into a sequence of easier steps. It is the most common method used to solve problems based on division.
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Experimental probability is the result of an experiment. Theoretical probability is what is expected to happen.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, and it can be interpreted in different ways.
Is the question a true or false question?
If yes, then both statements are true
As a further explanation, we consider a roll of die.
The sample space is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
Because 1 to 6 appear just once on the die, then each have a probability of 1/6
[tex]Pr = \frac{1}{6}[/tex] --- This is referred to as the theoretical probability
But if after rolling the die 6 times, the outcome is:
[tex]Outcome = \{1,1,4,5,1,2\}[/tex]
The experimental probability of (say 1) is, the number of times 1 appeared divided by the number of times the experiment is carried out.
i.e.
[tex]Pr(1) = \frac{3}{6}[/tex]
The three largest categories of motor vehicles are sedan, SUV, and minivan. Suppose
hat of the buyers in a particular community who now own a minivan, 18% will change to
an SUV and 20% will change to a sedan. Of the buyers who now own a sedan, 35% will
hange to a minivan and 20% will change to an SUV, and of those who now own an
SUV, 12% will buy a minivan and 32% will buy a sedan.
Draw a transition diagram that displays these changes.
On solving the provided question, we can say that - here in the percentage obtained = 40 => so, 40/100X100 = 40%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is = 100
obtained = 40
so, 40/100X100 = 40%
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someone help, need the answer asap
Answer:
A : 2x[tex]\sqrt{15}[/tex] b: 23.2
Step-by-step explanation:
A triangle has sides with lengths of 12 feet, 16 feet, and 18 feet. Is it a right triangle?
Answer:
Step-by-step explanation: If the sides are a,b,c (in ascending order) and c squared = the sum of the squares of a and b, then it's a right triangle.
Answer:
No, it is not a right triangle.
Step-by-step explanation:
Right triangle fulfill the pythagorean theorem:
[tex]a^2+ b^2 = c^2[/tex]
Where, c is the hypothenuse or the longest side, and b and a are the remaining two sides.
[tex]12^{2} = 144\\16^2 = 256\\256 + 144 = 400\\\sqrt {400} = 20 \neq 18[/tex]
A cylindrical potato chip container has a diameter of 3.5 inches and a height of 12 inches. What is the volume of the chip container? Use 3.14 for pi. Round your answer to the nearest hundredth.
57.73 in3
115.40 in3
350.65 in3
461.81 in3
Answer:
V = 38.47 in^3
Step-by-step explanation:
The container base radius is half the diameter, that is, 1.75 in, and the height is 12 in. The formula for the volume of a cylinder of radius r and height h is V = (1/3)(pi)(r)^2h, which in this particular case comes out to:
V = (1/3)(3.14)(1.75 in)^2*(12 in), or
V = 38.47 in^3
Answer:
115.40 in3
that is the correct answer to this question.
In the right triangle, a = 20, b = 21. Find c
A) 841
B) 22
C) 29
Answer:
C
Step-by-step explanation: