Answer:Option(a)
Step-by-step explanation: A) 2 of 15
Find the total surface area. Round your answer to the nearest hundredth!
Answer:
Step-by-step explanation:
two circles: 2(πr²)
1 rectangle:Lw
3.14(7)(7)
3.14(49)
2(153.86)=307.72
307.72(14)
4308.08
When rolling a 6-sided number cube twice, determine P(sum > 9).
26 over 36
10 over 36
6 over 36
3 over 36
The probability of getting P(sum > 9) when a cube is rolled twice is 6/36.
What is probability theory?Mathematical study of random occurrences and their results is the subject of probability theory. It entails analysing and quantifying risk, chance, and uncertainty. For modelling and studying complex systems and events in disciplines like physics, engineering, economics, and finance, probability theory offers a framework. Concepts like random variables, probability distributions, expected values, variance, and covariance are all part of the theory. In many aspects of daily life, including forecasting weather patterns, data analysis for scientific study, and calculating the likelihood of certain outcomes in games of chance, probability theory is applied.
The total number of outcomes for a 6 sided cube rolled twice is 6 x 6 = 36.
For a sum greater than 9 the possibilities are:
(4, 6), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6) = 6 possibilities.
Thus,
P(sum > 9) = 6 / 36.
Hence, the probability of getting P(sum > 9) when a cube is rolled twice is 6/36.
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33. Represent and Connect Write the ordered
pair to locate the end of hiking trail in two
different ways.
Please help me now
After answering the presented question, we can conclude that r is the equation distance from the origin and is the angle measured anticlockwise from a reference direction.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "[tex]2x + 3 = 9[/tex]" asserts that the phrase "[tex]2x + 3[/tex]" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "[tex]x2 + 2x - 3 = 0[/tex]." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
We may use two alternative reference points or coordinate systems to find the end of the hiking trail. As an example:
Using a Cartesian coordinate system: Assume the origin is the trailhead and the x-y axis is standard. If the trail's end is 5 units to the right and 7 units up from the trailhead, we may write it as (5, 7).
Using a polar coordinate system: Assume that the origin is defined as the centre of a circular trail and that we use polar coordinates (r,), where r is the distance from the origin and is the angle measured anticlockwise from a reference direction
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I need help on this last question. I don’t exactly know where to start on this
Answer:
72 i think
Step-by-step explanation:
i think your supposed to multiply 9 and 8 because count the sides on the shaded part ir
ts 8
Rachel is trying to hang a piñata for the birthday party but doesn't know how much rope she needs. She knows the height of the tree where she needs to hang the rope is 9√5 feet tall and the angle of elevation between the ground and the rope that connects to the top of the tree is 60 degrees. What would be the length of the rope that she needs to hang the pinata? Leave in simplest radical form. feet What would be the length of the rope that she needs to hang the pinata? Round to feet the nearest tenth
We can use trigonometry to solve this problem. Let the length of the rope be x. Then, we can draw a right triangle where the height of the tree is the opposite side, the length of the rope is the hypotenuse, and the angle of elevation is 60 degrees. The adjacent side can be found using the trigonometric function cosine:
cos 60° = adjacent / hypotenuse
1/2 = adjacent / x
Multiplying both sides by x, we get:
x/2 = adjacent
To find the length of the hypotenuse, we can use the Pythagorean theorem:
hypotenuse^2 = adjacent^2 + opposite^2
Substituting in the values we know, we get:
x^2 = (x/2)^2 + (9√5)^2
Simplifying the right side, we get:
x^2 = x^2/4 + 405
Multiplying both sides by 4, we get:
4x^2 = x^2 + 1620
Subtracting x^2 from both sides, we get:
3x^2 = 1620
Dividing both sides by 3, we get:
x^2 = 540
Taking the square root of both sides, we get:
x = √540 = 6√60
Therefore, the length of the rope that Rachel needs to hang the piñata is 6√60 feet. Rounded to the nearest tenth, this is approximately 74.1 feet.
Answer:
43.4 ft
Step-by-step explanation:
You want to know the length of rope needed to hang a piñata from the top of a tree that is 9√5 feet tall, if the rope makes an angle of 60° with the ground.
TriangleThe hypotenuse of the triangle can be found by considering the sine of the 60° angle. The sine of the angle is given by ...
Sin = Opposite/Hypotenuse
Then the hypotenuse of the triangle can be found from ...
sin(60°) = tree height / hypotenuse
hypotenuse = tree height/sin(60°) = 9√5/sin(60°)
Rope lengthWe presume the length of rope Rachel wants is the total of the lengths from the anchor point to the tree top and back to the ground. That will be ...
9√5 + 9√5/sin(60°) = 9√5·(1 +1/sin(60°)) ≈ 43.4 . . . . feet
Rachel needs about 43.4 feet of rope to hang the piñata.
Which ordered pair is a solution of the equation?
-3x+5y=2x+3y
A) Only (2, 4)
B) Only (3, 3)
C) Both A and B
D) Neither
For the given linear equation, the solution is (3,3) i.e. B.
What is a linear equation, exactly?
A linear equation is a mathematical equation in which the highest power of the variable(s) is one. In other words, it is an equation of the form:
y = mx + b
where y and x are variables, m is the slope or gradient of the line, and b is the y-intercept (the point at which the line intersects the y-axis). The slope represents the rate of change of the line, or how steep it is, and the y-intercept represents the value of y when x is zero.
Now,
We can solve this problem by plugging in the x and y values of each ordered pair and seeing if they make the equation true.
Let's start with option A, which is (2,4):
-3x+5y = 2x+3y (original equation)
-3(2) + 5(4) = 2(2) + 3(4) (substituting x=2 and y=4)
-6 + 20 = 4 + 12
14 = 16
The left side of the equation is not equal to the right side, so (2,4) is not a solution.
Now let's move on to option B, which is (3,3):
-3x+5y = 2x+3y (original equation)
-3(3) + 5(3) = 2(3) + 3(3) (substituting x=3 and y=3)
-9 + 15 = 6
6 = 6
The left side of the equation is equal to the right side, so (3,3) is a solution.
Therefore, the answer is option B, which is "Only (3,3)".
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5. suppose that prior to conducting a coin flipping experiment, we suspect that the coin is fair. how many times would we have to flip the coin in order to obtain a 96.5% confidence interval of width of at most 0.16 for the probability of flipping a head?
In order to obtain a 96.5% confidence interval of width of at most 0.16 for the probability of flipping a head in a coin flipping experiment, the coin needs to be flipped 533 times.
How to calculate the number of times we have to flip a coin?
We can use the formula:
n = ((Z_α/2) / E)²
Where, n is the number of times we need to flip a coin,
Z_α/2 is the Z-score at the α/2 level of significance for the normal distribution, and E is the desired margin of error or the maximum allowable deviation from the population proportion.
In this problem, the margin of error is 0.16, and the confidence level is 96.5%.
The α value is 1 - 0.965 = 0.035.
We need to find the Z-score corresponding to α/2 = 0.0175 using a standard normal distribution table.
Z_0.0175 = -1.96n = ((-1.96) / 0.16)²n ≈ 533
Therefore, the coin needs to be flipped 533 times to obtain a 96.5% confidence interval of width of at most 0.16 for the probability of flipping a head.
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given the following all-integer linear program: max 15x1 2x2 s. t. 7x1 x2 < 23 3x1 - x2 < 5 x1, x2 > 0 and integer a. solve the problem as an lp, ignoring the integer constraints. b. what solution is obtained by rounding up fractions greater than or equal to 1/2? is this the optimal integer solution? c. what solution is obtained by rounding down all fractions? is this the optimal integer solution? explain. d. show that the optimal objective function value for the ilp (integer linear programming) is lower than that for the optimal lp. e. why is the optimal objective function value for the ilp problem always less than or equal to the corresponding lp's optimal objective function value? when would they be equal? comment on the optimal objective function of the milp (mixed-integer linear programming) compared to the corresponding lp and ilp.
The required solution of the linear programming problem for the given objective function and subject to constraints are,
Linear programming problem is Maximize 15x1 + 2x2
Subject to:
7x1 + x2 < 23
3x1 - x2 < 5
x1, x2 > 0
Objective function value for rounding up fraction 1/2 solution is 53
Objective function value for rounding up all fraction solution is 23.
Optimal objective function value 53 is lower than optimal value 95.5.
Optimal objective function value is always less than or equal to the LP's optimal objective function value as ILP problem is a more constrained version.
To solve the problem as an LP,
we can ignore the integer constraints
And solve the problem as a continuous linear program.
The problem can be written as,
Maximize 15x1 + 2x2
Subject to:
7x1 + x2 < 23
3x1 - x2 < 5
x1, x2 > 0
Rounding up fractions greater than or equal to 1/2,
The following feasible solution is,
x1 = 3, x2 = 4
The objective function value for this solution is 53.
However, this is not the optimal integer solution since both x1 and x2 are not integers.
Rounding down all fractions, we get the following feasible solution,
x1 = 1, x2 = 4
The objective function value for this solution is 23, which is less than the LP's optimal objective function value of 95.5.
This is not the optimal integer solution either.
Optimal objective function value for the ILP is lower than that for the optimal LP, solve the ILP problem.
In any one constraints
When x1 = 0 ⇒ x2 = 23
x2 = 0 ⇒ x1 = 3.3
Optimal value is ,
15(3.3) + 2(23)
= 49.5 + 46
= 95.5
Optimal objective function value is lower than optimal value.
The optimal objective function value for the ILP problem is always less than or equal to the corresponding LP's optimal objective function value .
Because the ILP problem is a more constrained version of the linear programming problem.
The ILP problem restricts the variables to be integers, which reduces the feasible region and makes the problem more difficult to solve.
The optimal objective function values for the LP and ILP problems are equal.
If the LP problem has an optimal solution that satisfies the integer constraints.
In general, the optimal objective function value of the MILP problem can be better or worse than that of the LP or ILP problem.
It depends on the specific problem instance.
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The above question is incomplete, the complete question is :
Given the following all-integer linear program:
Max 15x1 + 2x2
s. t.
7x1 + x2 < 23
3x1 - x2 < 5
x1, x2 > 0 and integer
a. solve the problem as an lp, ignoring the integer constraints.
b. what solution is obtained by rounding up fractions greater than or equal to 1/2? is this the optimal integer solution?
c. what solution is obtained by rounding down all fractions? is this the optimal integer solution? explain.
d. show that the optimal objective function value for the ilp (integer linear programming) is lower than that for the optimal lp.
e. why is the optimal objective function value for the ilp problem always less than or equal to the corresponding lp's optimal objective function value? when would they be equal? comment on the optimal objective function of the milp (mixed-integer linear programming) compared to the corresponding lp and ilp.
PLS HELP ASAP THANKS
answer = (3x - 5) (3x + 3).
simplified = 3(x + 1) (3x - 5).
Suppose that the functions h and f are defined as follows.
[tex]h(x)=\frac{4}{x}, x\neq 0[/tex]
[tex]f(x)=x^{2} -7[/tex]
Find the composition h ∘ h and f ∘ f.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.)
The compositions of the given functions are as follows:
hf(x) = 3/(x² - 1)
fh(x) = (9 - x²)/x²
What are functions?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable).
So, we have:
h(x) =3/x, x and f(x) = x^2 - 1
Now, solve as follows:
h(x) = 3/x
f(x) = x² - 1
h(f(x)) = 3/f(x)
hf(x) = 3/(x² - 1)
f(h(x)) = (h(x))² - 1
= (3/x)² - 1
= 9/x² - 1
fh(x) = (9 - x²)/x²
Therefore, the compositions of the given functions are as follows:
hf(x) = 3/(x² - 1)
fh(x) = (9 - x²)/x²
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Correct question:
Suppose that the functions h and f are defined as follows. h(x) =3/x, x notequalto 0 f(x) = x^2 - 1 Find the compositions h composite function h and f composite function f Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.)
PLS HELP ILL GIVE 2O POINTS
The total cost of the water piping is $217.12 in the field.
What is perimeter?Perimeter is the total length of the boundary or the outer edge of a two-dimensional geometric shape. It is the distance around the shape or the sum of the lengths of all its sides. The perimeter is usually measured in units such as centimeters, meters, feet, or inches, depending on the system of measurement used.
In the given question,
To calculate the total cost of the water piping, we need to first calculate the total length of the edges of the field.
For the rectangle, the length of its four edges can be calculated as:
2 x length + 2 x breadth = 2 x 68m + 2 x 64m = 136m + 128m = 264m
For the square extension, it has four edges each with length 26m, so the total length of its edges is:
4 x 26m = 104m
Therefore, the total length of the edges of the field is:
264m + 104m = 368m
To find the total cost of the water piping, we can multiply the total length of the edges by the cost per metre:
368m x $0.59/m = $217.12
So, the total cost of the water piping is $217.12.
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Sophia, Lexi, and Jason picked some bananas. Sophia picked 18 bananas. Lexy picked 6 more bananas than Sophia. Jason picked 5 times as many as Lexi. How many bananas did Sophia, Lexi, and Jason collect altogether?
the answer is that Sophia, Lexi, and Jason collected a total of 162 bananas.
In this problem, we are given that Sophia picked 18 bananas. We are also told that Lexi picked 6 more bananas than Sophia, so Lexi picked 18+6=24 bananas. Additionally, we are told that Jason picked 5 times as many bananas as Lexi, so we need to multiply Jason picked 5*24=120 bananas.
To find the total number of bananas picked by all three people, we need to add up the number of bananas picked by Sophia, Lexi, and Jason. So, we add 18 + 24 + 120 = 162 bananas.
Therefore, the answer is that Sophia, Lexi, and Jason collected a total of 162 bananas.
It's important to understand the relationships between the numbers given in the problem in order to solve it. Sophia is the starting point, with 18 bananas, and Lexi is picking 6 more bananas than her. Jason's number is more complex, being 5 times Lexi's amount. By breaking down each piece of information and understanding how they relate to each other, we can easily find the total number of bananas collected by all three.
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Need help ASAP! I appreciate it!
The evaluation of the function gives:
f(-4) = 1, f(1) = 2, f(2) = 6, f(5) = 29/3
How to evaluate f(-4) based on the given functions?
A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
The evaluation is as follow:
For f(-4):
since x = -4. This means x ≤ -4. Thus, we use the function |2x + 7|. That is:
f(-4) = |2*(-4) + 7|
f(-4) = |-8 + 7|
f(-4) = | -1 |
f(-4) = 1
For f(1):
x = 1. Thus, -4< x ≤ 1. Use 1 + x²
f(1) = 1 + x²
f(1) = 1 + 1²
f(1) = 2
For f(2):
x = 2. Thus, 1< x < 3. Use the value 6
f(2) = 6
For f(5):
x = 5. Thus, x ≥ 3. Use (1/3)x + 8.
f(5) = (1/3)*5 + 8
f(5) = 29/3
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Evaluating the function at various values of x over different intervals,
f(-4) = 1, f(1) = 2, f(2) = 6, f(5) = 29/3
What is the value of the functionTo evaluate the function f(x) at various values of x, we need to use the definition of the function for each interval of x.
For x ≤ -4:
f(x) = |2x + 7|
f(-4) = |2(-4) + 7| = |-1| = 1
For -4 < x ≤ 1:
f(x) = 1 + x²
f(1) = 1 + 1² = 2
For 1 < x < 3:
f(x) = 6
f(2) = 6
For x ≥ 3:
f(x) = (1/3)x + 8
f(5) lies in the interval x ≥ 3, so we use the definition of f(x) for this interval:
f(5) = (1/3)(5) + 8 = 29/3
Therefore,
f(-4) = 1
f(1) = 2
f(2) = 6
f(5) = 29/3
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simplify:
(-12)X(-10)X6X(-1)
Answer:
-720
Step-by-step explanation:
Simplify the two negatives with positive:
120 * 6 * -1
Multiply 6 and -1 with -6:
120 * -6
= -720
 Sales a video games in consoles fell from $1,150 million to $1,030 million in one year. Find the percent decrease
On solving the provided question we can say that Therefore, the percent decrease in video games sales in consoles is approximately 10.43%.
What is percentage?Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent symbol (%). For example, if a student scores 80 out of 100 in a test, the percentage score is calculated as (80/100) x 100, which is equal to 80%. This means the student scored 80% of the total marks available in the test. Percentages are commonly used to express rates of change, proportions, and percentages of a whole, and they are used in many fields, such as finance, science, and statistics.
$1,150 million - $1,030 million = $120 million
$120 million ÷ $1,150 million = 0.1043
0.1043 x 100% = 10.43%
Therefore, the percent decrease in video games sales in consoles is approximately 10.43%.
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A group of friends went bowling. There was a special. You paid $5 for shoes, but each game was only $2. Write an equation that shoes the total amount paid y if they played x number of games.
An equation that shoes the total amount paid y if they played x number of games is y = 2x + 5
What exactly is an equation?In mathematics, an equation is-a-statement that shows the equality between two-expressions. An equation typically has one or more unknowns that need to be solved for in order to satisfy the equality.
Here, y = total amount paid
x = number of games
Each game costs $2
So total cost of all games played = $2x
But to enter the game they need to rent shoes $5.
So, total amount paid = $5 + $2x
Thus, An equation that shoes the total amount paid y if they played x number of games is y = 2x + 5
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The diagram below shows part of the graph of y= b-x/ cx+d
The x-intercept is (6,0).
The vertical asymptote is x = -3.
The horizontal asymptote is y = -1.
Find the value of d.
For x-intercept, [tex]y=0[/tex]
[tex]\implies b-x=0[/tex]
[tex]\implies b=6[/tex]
For vertical intercept [tex]y\rightarrow \pm \infty[/tex]
[tex]\implies cx+d=0[/tex]
[tex]\implies-3x+d=0[/tex]
[tex]\implies d=3c[/tex]
Now, [tex]y=\dfrac{6-x}{cx+3c}[/tex]
[tex]\implies x(xy+1)=6-3cy[/tex]
[tex]\implies x=\dfrac{6-3xy}{cy+1}[/tex]
At horizontal asymptote, [tex]x\rightarrow\pm\infty\implies cy+1=0[/tex]
[tex]\implies c(-1)+1=0[/tex]
[tex]\implies c=1[/tex]
[tex]\implies d=3[/tex].
A shirt that normally costs $19.99 is on sale for 15% off. How much would Jason pay for 3 of the shirts with an 8% sales tax?
can 16/x be expressed as x^-16
Answer:no
Step-by-step explanation:
for example Exponents are numbers that have been multiplied by themselves. For instance, 3 · 3 · 3 · 3 could be written as the exponent 34
Light from the sun takes 5×102 seconds to reach Earth. It takes 2×104 seconds to reach Pluto.
Use these numbers to complete the sentence below. Write your answer in standard form, without using exponents.
It takes ? times as long for light from the sun to reach Pluto as to reach Earth.
It takes 1,95,000 seconds longer for light from the sun to reach Pluto as to reach Earth.
It is given to us that light from the sun takes 5×10² seconds to reach Earth and it takes 2×10⁴ seconds to reach Pluto.
We need to find the difference in the time it takes for the light to reach Pluto from the sun than it takes to reach the earth
First, lets convert the time it takes for the light to reach Pluto from the sun:
2×10⁴ seconds to reach Pluto
= 2 x 100000 = 200000 seconds
now lets convert the time it takes for the light to reach earth from the sun:
5×10² seconds to reach Earth
= 5 x 1000 = 5000 seconds
therefore the difference = time taken to reach Pluto - time taken to reach Earth
= 2,00,000 - 5,000 = 1,95,000
Therefore, it takes 1,95,000 seconds longer for light from the sun to reach Pluto as to reach Earth.
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A survey of 15 students revealed that 9 students brought their lunch from home, and 6 students bought their lunch in the cafeteria. Based on this information, If there are 500 students in the school, how many students could be expected to bring their lunch?
We can use a proportion to estimate the number of students who could be expected to bring their lunch:
9 out of 15 students brought their lunch from home.
Let x be the number of students in the school who bring their lunch from home.
So we can set up the proportion:
9/15 = x/500
We can solve for x by cross-multiplying:
9 * 500 = 15x
x = (9 * 500) / 15
x = 300
Therefore, we can expect that 300 out of 500 students in the school bring their lunch from home.
terry and ricky went on a 60-mile canoe trip with their class. on the first day they traveled 21 miles. what percent of the total distance was that?terry and ricky went on a 60-mile canoe trip with their class. on the first day they traveled 21 miles. what percent of the total distance was that?
Terry and Ricky traveled 35% of the total distance on the first day of their canoe trip.
Terry and Ricky went on a 60-mile canoe trip with their class, and on the first day, they traveled 21 miles. To find the percent of the total distance they traveled on the first day, follow these steps:
Divide the distance traveled on the first day (21 miles) by the total distance of the trip (60 miles).
Multiply the result by 100 to convert it into a percentage.
Step-by-step explanation:
Divide 21 miles by 60 miles:
21 / 60 = 0.35
Convert the result into a percentage by multiplying by 100:
0.35 x 100 = 35%
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Breanna is shopping for a party and needs to buy hot dogs and burgers.
Hamburger is $8 per pound and hot dogs are $6 per pound. She has $75 to
spend. Write an equation where x represents the pounds of hamburger
purchased and y represents the pounds of hot dogs purchased.
Let x be pounds of hamburger and y be pounds of hot dogs.
The equation is: 8x + 6y ≤ 75.
What is equations ?An equation is a mathematical statement that uses the equal sign (=) to show that two expressions are equal. Equations can include variables, which are symbols that represent unknown or changing values. Solving an equation means finding the value of the variable that makes the equation true. Equations are commonly used in many areas of mathematics, science, and engineering, as well as in everyday life.
According to the given information:Let x be the pounds of hamburger purchased and y be the pounds of hot dogs purchased.
The cost of hamburger at $8 per pound would be 8x dollars.
The cost of hot dogs at $6 per pound would be 6y dollars.
The total cost of the purchases should not exceed $75, so we can write:
8x + 6y ≤ 75
This is the equation that represents Breanna's situation, where x represents the pounds of hamburger purchased and y represents the pounds of hot dogs purchased, and the total cost of the purchases should not exceed $75.
Therefore, Let x be pounds of hamburger and y be pounds of hot dogs.
The equation is: 8x + 6y ≤ 75.
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a tour guide is in a boat 2 miles from the nearest point on the coast. he is to go to point q, located 3 miles down the coast and 1 mile inland (see figure). the tour guide can row at a rate of 3 miles per hour and walk at 3 miles per hour. toward what point on the coast should the tour guide row in order to reach point q in the least time?
The tour guide should row towards the point on the coast closest to point Q, which is the point of perpendicular intersection between the coast and the line passing through points Q and the initial position of the tour guide.
To reach point Q in the least time, the tour guide should row towards the point on the coast that is closest to point Q. Let's call this point P.
We can use the Pythagorean theorem to find the distance from point P to point Q
distance PQ = sqrt((3 miles)^2 + (1 mile)^2) = sqrt(10) miles
Now, let's consider two scenarios
Scenario 1: The tour guide rows directly towards point Q.
The distance the tour guide needs to row is 2 miles + sqrt(10) miles. This will take the tour guide
time = (2 miles + sqrt(10) miles) / (3 miles/hour) = (2/3) + (1/3)*sqrt(10) hours
Scenario 2: The tour guide rows towards point P, then walks the rest of the way to point Q.
The distance the tour guide needs to row is 2 miles - x miles, where x is the distance from point P to the nearest point on the coast. By similar triangles, we know that
x / 3 miles = 1 mile / sqrt(10) miles
Solving for x, we get
x = 3/sqrt(10) miles
So the distance the tour guide needs to row is
2 miles - 3/sqrt(10) miles = 2 - (3/sqrt(10)) miles
The distance the tour guide needs to walk is
sqrt(10) miles - 1 mile = sqrt(10) - 1 miles
The time it takes the tour guide to row and walk is:
time = (2 - (3/sqrt(10))) / (3 miles/hour) + (sqrt(10) - 1) / (3 miles/hour)
Simplifying this expression, we get
time = (2/3) - (1/3)*sqrt(10) + (sqrt(10)/3) - (1/3) = (1/3) + (1/3)*sqrt(10) hours
Comparing the two scenarios, we see that scenario 2 takes less time, so the tour guide should row towards point P in order to reach point Q in the least time.
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i have no clue what to do here even tho the teacher explained it
Answer:
the GCF is 5y and the factored form is 5y(2y^4 + 6y^2 - 3).
Step-by-step explanation:
The greatest common factor (GCF) of the terms 10y^5, 30y^3, and -15y is 5y.
To factor out the GCF, we can divide each term by 5y:
10y^5 / (5y) = 2y^4
30y^3 / (5y) = 6y^2
-15y / (5y) = -3
So we have:
10y^5 + 30y^3 - 15y = 5y(2y^4 + 6y^2 - 3)
Therefore, the GCF is 5y and the factored form is 5y(2y^4 + 6y^2 - 3).
Answer: GCF=5
Factored form= 5y(2y^4+6y^2-3
Step-by-step explanation:
is 7 a solution to the following inequality 3x-5>14
Answer:
Step-by-step explanation:
If you substitute x = 7, then the reasoning is correct, but if you think that x = 7 should turn out at the end (answer), then this is not correct, because it turns out [tex]\frac{19}{3}[/tex]
A(n) ___ is a line that a graphed curve gets closer to but never touches as the value of a variable gets extremely small or extremely large.
A(n) asymptote is a line that a graphed curve gets closer to but never touches as the value of a variable gets extremely small or extremely large. Asymptotes can be horizontal, vertical, or slanted, and they are often used to describe the behavior of functions or graphs as they approach certain limits or values.
Answer:
A(n) asymptote is a line that a graphed curve gets closer to but never touches as the value of a variable gets extremely small or extremely large. Asymptotes can be horizontal, vertical, or slanted, and they are often used to describe the behavior of functions or graphs as they approach certain limits or values.
Need answers ASAP. Please help
Answer: 1. -8, 2. 12, 3.-4 , 4.-7 , 5.3 , 6.15 , 7. 1, 8. 12, 9. -15, 10.318 ,
Step-by-step explanation:
The graph shows a function. Is the function linear or nonlinear?
NEED HELP ASAP PLEASE...
The output of g(x) when x is -2 is 1/3.
How to find output?
To find the output of g(x) when x is -2, we simply substitute -2 into the formula for g(x):
g(-2) = 3⁻²/²
Simplifying the exponent, we get:
g(-2) = 3⁻¹
Now, we need to evaluate 3⁻¹. Recall that any number raised to a negative exponent can be written as its reciprocal raised to the corresponding positive exponent. That is:
a⁻ⁿ = 1/(aⁿ)
In our case, a is 3 and n is 1, so we have:
3⁻¹= 1/(3¹) = 1/3
Therefore, the output of g(x) when x is -2 is 1/3.
Note that 1/3 is already in its simplest form, so we do not need to simplify it any further. We also do not need to round it to two decimal places since it is a fraction.
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