Answer:
8.48$
Step-by-step explanation:
I think
Hope this helps
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. Which solution can be eliminated and why?
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.
the solution to be eliminated is -0.2s this is because time do not have negative values
What is a quadratic equation?ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.
It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.
Considering the given function, the answer is both real one is negative the other is positive.
The solution in this case represents time, and time of negative value do not apply in real life
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Jada was solving the equation
6
−
x
=
−
16
6−x
=−16. She was about to square each side, but then she realized she could give an answer without doing any algebra. What did she realize?
The solution Jada seeks does not require any algebra but can be solved to give; x = 22.
How to solve the equationWhen solving the given equation;
6 - x = -16The solution of the equation can be obtained by subtracting 6 from both sides of the equation so that we have;
-x = -16 -6-x = -22.Therefore, the value of x is; 22
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Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False
please please helppp meeee
Answer:\(-\frac{2}{3}\)
Step-by-step explanation: Search math w ay on the internet :)
Answer:
2/-3
Step-by-step explanation:
using rise/run we can can see that the slope rises 4 units and the run is -6 simplify to 2/-3
Jane made $108 for 9 hours of work.At the same rate, how many hours would she have to work to make $216?
pls help
Answer:
18 hours
Step-by-step explanation:
$108 = 9 hours
$216 = x hours
we want to get to $216 from the original equation. one thing we can do to get there is to figure out what we need to multiply 108 by to get 216. to figure this out, we can calculate 216/108 = 2.
therefore, we can multiply both sides of the original equation by 2 to get
$216 = 9 * 2 hours = 18 hours as our answer
Given that YZ bisects VW, and VX = 46, find XW
Answer:
XW = 134
Step-by-step explanation:
The fact that YZ bisects VW means that the angles VX and XW are supplementary, that is, they add to 180º. So
VX + XW = 180
We have that VX = 46. So
46 + XW = 180
XW = 134
3x-7x-6 get this soluton without friction
The solution to the expression 3x - 7x - 6 is -4x - 6
How to determine the solution to the expressionFrom the question, we have the following parameters that can be used in our computation:
3x - 7x - 6
When the like terms are evaluated, we have
3x - 7x - 6 = -4x - 6
The above expression cannot be further simplified
Hence, the solution is -4x - 6
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there are 20 elks in a forest that is being observed by zoologists. of these, 5 elks are tagged and then released. a certain time later 4 of the elks were randomly captured for analysis. what is the probability that exactly 2 of these elks caught are tagged?
The probability that exactly 2 of the elks captured are tagged is approximately 0.218, or 21.8%.
The probability that exactly 2 of the captured elks are tagged can be calculated using the hypergeometric distribution.
The total number of elks in the forest is 20, of which 5 are tagged and 15 are untagged. We are randomly capturing 4 elks for analysis.
The probability of selecting exactly 2 tagged elks can be calculated as follows:
P(2 tagged elks) = (C(5, 2) * C(15, 2)) / C(20, 4)
Here, C(n, r) represents the number of combinations of choosing r items from a set of n items. In this case, we are selecting 2 tagged elks from the 5 available and 2 untagged elks from the remaining 15.
Evaluating this expression:
P(2 tagged elks) = (10 * 105) / 4845
P(2 tagged elks) ≈ 0.218
Therefore, the probability that exactly 2 of the elks captured are tagged is approximately 0.218, or 21.8%.
The hypergeometric distribution is used in situations where we are sampling without replacement from a finite population. In this case, we have a total of 20 elks in the forest, 5 of which are tagged and 15 are untagged. We are capturing 4 elks randomly, without replacement, for analysis. The probability of selecting exactly 2 tagged elks can be calculated by considering the number of ways to choose 2 tagged elks from the 5 available and 2 untagged elks from the remaining 15. Dividing this by the total number of possible combinations of selecting 4 elks from the 20 elks in the forest gives us the probability
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if you draw 27 cards from the deck without replacement, at least how many distinct values are guaranteed to be represented?
At least 7 distinct values are guaranteed to be represented, if you draw 27 cards from the deck without replacement.
Define probability.The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions. Etymology. Mathematical branch known as probability deals with determining the possibility of an event occurring. Probability, which expresses the likelihood of an event occurring, is calculated by dividing the total number of occurrences by the number of favorable events. Probability values range from 0 to 1, with 1 representing certainty and 0 representing uncertainty.
Given,
If you draw 27 cards from the deck without replacement.
In the deck, there are 13 values in 4 suits.
Least amount of distinct values in the 27 cards that were drawn.
= 27/4
= 7
At least 7 distinct values are guaranteed to be represented, if you draw 27 cards from the deck without replacement.
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An angle in a rectangular coordinate system is in standard position if its vertex is at the_______.
An angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The angle is measured in a counterclockwise direction from the positive x-axis and is considered positive if it lies in the counterclockwise direction and negative if it lies in the clockwise direction.
The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located. An angle in a rectangular coordinate system is in a standard position if its vertex is at the origin of the plane. An angle is said to be in a standard position if its vertex is located at the origin of the coordinate system.
To summarize, an angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located.
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if z is a standard normal random variable, what is (a) p(z2<1) .9172 (bp(z2<3.84146)
(a)the area between -1 and 1 is approximately 0.6827 (b) the area between -√3.84146 and √3.84146 is approximately 0.9500.
(a) To track down P(z^2 < 1), we can revamp it as P(- 1 < z < 1) since the square of a standard typical irregular variable is generally certain.
We know that P(-1 z 1) is the same as the area under the standard normal curve between -1 and 1. This is based on the properties of the standard normal distribution.
Using statistical software or looking up the values in the standard normal distribution table, also known as the Z-table, we discover that the range from -1 to 1 is roughly 0.6827.
As a result, P(z2 1) 0.6827.
(b) To track down P(z^2 < 3.84146), we can again modify it as P(- √3.84146 < z < √3.84146) since the square of a standard typical irregular variable is dependably sure.
We can determine the area under the standard normal curve between -√3.84146 and √3.84146 by utilizing the characteristics of the standard normal distribution.
Using statistical software or the standard normal distribution table, we determine that the range between -3.84146 and 3.84146 is approximately 0.9500.
Consequently, P(z2 3.84146) 0.9500.
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Brandon wants to create a probability experiment with a coin toss. He plans to conduct eight trials in his experiment. He predicts that half of the trials will result in tails.
A) Is his prediction an example of relative frequency or theoretical probability and why?
B) Which of the two graphs could not be a graph that represents the results of the 8 trials?
SHOW ALL YOUR WORK
i need the answer i need help plz give the answear and the work hot to do it plz
Two lifeguard towers are 546 yards apart, with tower B directly east of tower A. Both towers spot a hazard in the ocean. The bearing of the hazard from tower A is N35ºE, and the bearing of the hazard from tower B is N49ºW. Which formula gives the distance of the hazard from tower B?
A. \(a=546\frac{sin84^{\circ}}{sin55^{\circ}}\)
B. \(a=546\frac{sin49^{\circ}}{sin96^{\circ}}\)
C. \(a=546\frac{sin35^{\circ}}{sin96^{\circ}}\)
D. \(a=546\frac{sin55^{\circ}}{sin84^{\circ}}\)
Using the law of sines, the formula that gives the distance of the hazard from tower B is:
C. a = 546sin(35º)/sin(96º).
What is the law of sines?Suppose we have a triangle in which:
The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.The lengths and the sine of the angles are related as follows:
\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)
From the situation described, we have that:
The angles are of 35º, 49º and 180 - (35 + 49) = 96º.The side opposite to the angle of 96º is of 546 yards.The angle opposite to the distance of the hazard to tower B is of 35º.Hence the relation is:
sin(96º)/546 = sin(35º)/a
a = 546sin(35º)/sin(96º).
Which means that option C is correct.
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Please help 25 points!!
Answer:
sorry im not sure
Step-by-step explanation:
5n = 60
n=__? HELP-!
The solution is, the value of n = 12.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
the expression is:
5n = 60
now, we have to find the value of n
so, we have to simplify this,
we have,
5n = 60
now, dividing both side by 5,
we get,
5n/5 = 60/5
or, n = 60/5
or, n = 12
Hence, The solution is, the value of n = 12.
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Someone help me with this equation please!!
The given proof follows the symmetric property of angle congruence. Therefore, option C is the correct answer.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given that,
Statements Reasons
1. ∠ABC≅∠DEF 1. Given
2. m∠ABC=m∠DEF 2. Definition of congruent angles
3. m∠DEF=m∠ABC 3. Symmetric property of equality
4. ∠DEF≅∠ABC 4. Definition of congruent angles
The symmetric property says that if one geometric shape is congruent to another, than the second shape is also congruent to the first. The symmetric property of congruence says that for any angles A and B, if ∠A≅∠B then ∠B≅∠A.
Therefore, option C is the correct answer.
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please help i don’t understand and i’m struggling
A useful graphical method of constructing the sample space for an experiment is:
a. a tree diagram
b. a pie chart
c. a histogram
d. an ogive
A useful graphical method of constructing the sample space for an experiment is a tree diagram that is option A.
A tree diagram is a useful graphical method of constructing the sample space for an experiment. It is a type of diagram used to represent the possible outcomes of an event. The diagram is structured in a way that each branch of the tree represents an event that can occur, and each level of the tree represents a stage in the experiment. By using a tree diagram, it is easier to visualize and understand all the possible outcomes of an experiment and the probabilities associated with each outcome. Therefore, option A is the correct answer.
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Math is multi-cultural, analytical, timeless and hands-on. Provide a piece of mathematical concept, hypothesis, law, paradox, rule or theorem to prove this statement.
It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.
Mathematics is multicultural and it's neutral from the issues of races, gender, class, etc. Also, it should be noted that mathematics is analytical.Furthermore, mathematics is timeless and hands-on. This implies that students need to touch and feel what they're learning through a concrete experience.Learn more about mathematics on:
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If y varies directly with x and y=20 when x=4, find x when y=5
Step-by-step explanation:
Our basic problem looks like:
y = qx
When we plug in our variables, we get:
20 = q * 4
To isolate q, we divide both sides by 4:
20 / 4 = q * 4 / 4, which becomes:
5 = q, leading to 5x = y
now to plug in our 5 variable:
5 * 5 = 25 = y
Mark thought of three consecutive odd integers. He added the first to twice the third and
multiplied this sum by -3. The result was 3 less than the product of 8 and the opposite of
the second. What were the numbers?
To solve this problem, we'll need to use algebraic expressions. Let's start by breaking down the information given to us.
The problem states that we need to multiply a sum by -3. Let's call this sum "x." So, -3x is our first algebraic expression.
Next, the problem states that this result (which is -3x) is 3 less than the product of 8 and the opposite of the second. We can represent the opposite of the second as -y (since we don't know the value of the second number, we'll use "y" to represent it). So, the product of 8 and -y is -8y. The problem tells us that -3x is 3 less than -8y, so we can represent this with the expression -8y - 3.
Now we can set these two expressions equal to each other, since they both represent the same value:
-3x = -8y - 3
To solve for x and y, we'll need to use some algebraic manipulation. Let's start by isolating one of the variables. We can do this by adding 8y to both sides:
-3x + 8y = -3
Now let's isolate the other variable by dividing both sides by -3:
x - (8/3)y = 1
So we have two equations:
-3x + 8y = -3
x - (8/3)y = 1
We can use these equations to solve for x and y using a method like substitution or elimination. However, since the problem doesn't ask for specific values of x and y, we don't need to solve for them here.
In summary, the problem involved multiplying a sum by -3 and then finding the result of a specific equation involving that sum. We used algebraic expressions to represent the information given to us and then solved for the two variables involved (x and y) using algebraic manipulation.
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5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. "HT
H
b. 2T
15 cm
c.
ΖΗ
W
8 cm
T
\( \\ \sf \longmapsto \: HT=√15^2+8^2\)
\( \\ \sf \longmapsto \: HT=√225+64\)
\( \\ \sf \longmapsto \: HT=√289\)
\( \\ \sf \longmapsto \: HT=17cm\)
Solution:-2Angle T=15x
Let others be 8x and 17x
\( \\ \sf \longmapsto \: 8x+17x+15x=180\)
\( \\ \sf \longmapsto \: 40x=180\)
\( \\ \sf \longmapsto \: x=\dfrac{180}{40}\)
\( \\ \sf \longmapsto \: x=4.5\)
\( \\ \sf \longmapsto \: 15x=15(4.5)\)
\( \\ \sf \longmapsto \: \angle T=67.5°\)
Solution:-3\( \\ \sf \longmapsto \: \angle H=8x\)
\( \\ \sf \longmapsto \: \angle H=32.5°\)
Peter and Vivian each wrote a proof for the statement: if 22 23, then 21 is supplementary to 23.
1
Peter used
because
2
Peter's proof:
By the linear pair theorem, 21 is supplementary to 22. So, m/1 + m/2 = 180°. Since 2223, then 22 = 23. Applying the transitive property
of equality, m/1 + m/3 = 180°, which means 21 is supplementary to 23.
All rights recented
3
Vivian's proof:
Suppose 21 is not supplementary to 23. So, m/1 + m23 180°. By the linear pair theorem, 21 is supplementary to 22. By the definition of
supplementary angles, m/1 + m/2 = 180°. Applying the Transitive Property, m/1 + m23 # m/1 + m2. By the subtraction property of
equality, this implies that m/3 m/2. By definition of congruence, m/3 m/2. However, m/3 m/2 contradicts the given.
What type of proofs did they use?
e because
B. Vivian used
Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right.
How to carry out Congruence Proofs?
We are told that both peter and Vivian were trying to prove from the attached diagram the statement that;
If ∠2 ≅ ∠3, then ∠1 is supplementary to ∠3.
Now, from the proofs of both of them, we can see that peter used a direct proof because he knew he could get it directly but Vivian utilized another means which was by starting with contradiction to reprove that the answer was correct.
Thus, we can conclude that Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right
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In the decimal number 3.105, the digit in the hundredths place is a 5?
True
False
Answer:
False cuase 5 is in thousands
Select all the correct coordinate pairs and the correct graph
ANSWER
zeros: (0, 0), (2, 0), (3, 0), (-1, 0)
The correct graph is option A
EXPLANATION
2. Find an equation of the tangent plane to the surface z=2x^2 +y^2 −5y at (1,2,−4)
The equation of the tangent plane to the surface z=2x^2 + y^2 - 5y at the point (1, 2, -4) is z = 9x + 6y - 16. To find the equation of the tangent plane, we need to determine the normal vector and use the point-normal form of the plane equation.
First, we find the partial derivatives of the surface equation with respect to x and y:
∂z/∂x = 4x
∂z/∂y = 2y - 5
Next, we evaluate these partial derivatives at the point (1, 2, -4):
∂z/∂x = 4(1) = 4
∂z/∂y = 2(2) - 5 = -1
These values represent the components of the normal vector to the tangent plane at the given point: N = (4, -1).
Using the point-normal form of the plane equation, we have:
4(x - 1) - 1(y - 2) + (z + 4) = 0
Simplifying this equation gives:
4x - y + z - 4 = 0
Rearranging the terms, we get the equation of the tangent plane:
z = -4x + y + 4
Therefore, the equation of the tangent plane to the surface at the point (1, 2, -4) is z = 9x + 6y - 16.
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A tv show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. determine the average number of viewers over the two weeks and write the final answer in scientific notation.
The computation shows that the average number of viewers over the two weeks will be 3.85 × 10⁴.
How to compute the value?From the information given, the tv show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.
Therefore, the average number of viewers over the two weeks will be:
= (3.6 × 10⁴ + 4.1 × 10⁴)/2
= 7.7 × 10⁴/2
= 3.85 × 10⁴
Therefore, the average is 3.85 × 10⁴
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out of 500 bulbs, 0.2 are defective. how many are defctive
Answer:
100
Step-by-step explanation:
0.2*500=100
find a cartesian equation for the curve and identify it. r = 2 csc(θ)
The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).
A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.
A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.
Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).
So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).
The equation becomes as follows:
\(r=2cosec\hspace{0.1cm} \theta\)
By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get
\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)
Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get
\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)
\(rsin\hspace{0.1cm}\theta=2\)
By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get
\(y=2\)
It is a horizantal line.
Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).
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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).
To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:
x = r * cos(θ)
y = r * sin(θ)
Step 1: Express r in terms of θ
r = 2 csc(θ)
Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)
Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)
Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)
Step 5: Simplify the equation
y = 2
The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).
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Solve for n.
-5/7n + 1 =21
N in (-oo:+oo)
(-5/7)*n+1 = 21 // - 21
(-5/7)*n-21+1 = 0
-5/7*n-20 = 0 // + 20
-5/7*n = 20 // : -5/7
N = 20/(-5/7)
N = -28
N = -28
hope it worked out, since i'm not entirely sure.