Answers
the red point represents the moment when you return to your house, 8 time units after you originally left.
What happens to you at the red circle on the graph?
Let's assume that the graph represents the distance to your home as a function of time. (The x-axis represents time in time units and the y-axis represents the distance in distance units)
Then you can see how in the first 3 units of time you travel a certain distance from your home.
Then for the 3 next time units your position does not change, so you are in a fixed place.
In the next 3 time units you return to your house, here we reached the red point, which represents the moment when you return to your house, 8 time units after you originally left.
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Related Questions
PLS HELP
Ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles? Write your answer as a decimal.(1 point)
Answers
The fraction of those who were cast and got major roles is 1/5.
Number of the students who were cast
The number of the students who were cast out of the Ninety students auditioned for the school play is calculated as follows;
Total number of students = 90
Number of students who were cast = ¹/₃ x 90 = 30
Number of students who go major role = 6
The fraction of those who were cast and got major roles is calculated as follows;
fraction of students who got major role = 6/30
fraction of students who got major role = 1/5
Thus, the fraction of those who were cast and got major roles is 1/5.
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Answer:
Total number of students = 90
Number of students who were cast = ¹/₃ x 90 = 30
Number of students who go major role = 6
fraction of students who got major role = 6/30
fraction of students who got major role = 1/5
1/5 = 0.2
Help me with this problem please I am begging you
Answers
Answer:
32/40
Step-by-step explanation:
First divide 40 by 15
to check denominator, calculate 15 * the ans and for numerator as well
find the direction cosines and direction angles of the vector. (give the direction angles correct to the nearest tenth of a degree.)
Answers
The direction cosines and direction angles will be - [tex]\frac{x}{r},\frac{y}{r},\frac{z}{r}[/tex] and
cos⁻¹([tex]\frac{x}{r}[/tex]), cos⁻¹([tex]\frac{y}{r}[/tex]),cos⁻¹([tex]\frac{z}{r}[/tex]) respectively.
The direction cosines of a specified vector, m = xi + yj + zk, are the cosines of the angles it makes well with x, y, and z axes.
The direction cosines of m are cos a, cos b, and cos c in the x, y, and z axes, respectively, if a forms the angles a,b and c (which are the direction angles) with the x, y, and z axes, respectively.
Let us consider equation as = [tex]xi + yj +zk[/tex]
vector of the equation will be - (x,y,z)
r = length of vector = [tex]\sqrt{x^{2} +y^{2} +z^{2} }[/tex]
The direction cosines will be -
[tex]\frac{x}{r},\frac{y}{r},\frac{z}{r}[/tex]
angles will be - cos⁻¹([tex]\frac{x}{r}[/tex]), cos⁻¹([tex]\frac{y}{r}[/tex]),cos⁻¹([tex]\frac{z}{r}[/tex])
Let us consider an example,
If we have vector as (1,2,3)
= i + 2j + 3k
= r = [tex]\sqrt{1^{2} +2^{2} +3^{2} }[/tex]
= [tex]\sqrt{14}[/tex]
Direction cosines will be -
[tex]\frac{1}{\sqrt{14} } , \frac{2}{\sqrt{14} }, \frac{3}{\sqrt{14} }[/tex]
Angles will be -
cos⁻¹([tex]\frac{1}{\sqrt{14} }[/tex]), cos⁻¹([tex]\frac{2}{\sqrt{14} }[/tex]),cos⁻¹([tex]\frac{3}{\sqrt{14} }[/tex])
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Find the inequality represented by the graph.
Answers
Answer: y<3x-4
Step-by-step explanation:
[tex](0,-4) \ \ \ \ \ \ (1,-1)[/tex]
The equation of the line
[tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]
[tex]\displaystyle\\x_1=0\ \ \ \ x_2=1\ \ \ \ y_1=-4\ \ \ \ y_2=-1\\Hence,\\\frac{x-0}{1-0} =\frac{y-(-4)}{-1-(-4)} \\\\\frac{x}{1} =\frac{y+4}{-1+4} \\x=\frac{y+4}{3}[/tex]
Умножьте обе части уравнения на 3:
[tex]3x=y+4\\3x-4=y+4-4\\3x-4=y[/tex]
Thus, y<3x-4
1. f(3)=2x-5 (show work)
Answers
Answer:
The answer is 1
Step-by-step explanation:
On a graph, it would be at the plot point (3,1)
Given y = x² + 3x - 2, find y when x = -2
Answers
Answer: - 10
Step-by-step explanation: -2 to the 2nd power is - 4. And 3 * - 2 is -6. So -4 + -6 = - 10.
I hope I have helped and I hope you have a wonderful day!
Then solve the equation for y
Answer ( Y= -2)
For this exponential
function,
what is the output value (y),
when the input value (x) is O?
y = 10•5x
(0,[?])
Answers
The output value of (y) will be 1 .
In mathematics, an exponential function is a function of the form f(x) = ax. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0. Exponential functions, as the name suggests, involve exponents. But note that the base of the exponential function has a constant and the exponent has a variable, not vice versa.We have given an exponential function [tex]y=10.5^x[/tex] ......(1)
It is given that input value is 0 which means that replace the x with the input value in the given function.
Putting x = 0 in the equation (1) , we get
[tex]y=10.5^0[/tex]
Value of any number raised to power zero is always one .
[tex]y=1[/tex]
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5) At West High School, 362 students take
Spanish. This number has been increasing
at a rate of 20 per year. The number of
students taking French is 259 and has been
decreasing at a rate of 3 per year. At these
rates, when will there be two times as
many students taking Spanish as taking
French?
Please help
Answers
Answer:
Step-by-step explanation:
In 6 years, because I subtracted 3 from 259 6 times and added 20 to 362 6 times.
in a month, carlos can produce a maximum of either 60 bushels of pears or 30 bushels of apples, or any linear combination in between. similarly, diane can produce a maximum of either 20 bushels of pears or 5 bushels of apples, or any linear combination in between.
Answers
Thus 3 bushels of pears can be acceptable term of trade for bushels of pears.
Opportunity cost of 1bushel of apple for Carlos=2pears
Opp. Cost of 1 bushles of apple for Donna=4pears
Thus ,
Term of trade acceptable to both for one bushels of apple is 2-4 bushels of pears
Ryan bought 6 apples and 9 peaches for a total of $9.75. Madi bought 4 apples and 5 peaches for $5.75. How much are apples and peaches?Define the variables.▪ Write 2 equations that model the situation.▪ Solve the system by either graphing, substitution or linear combinations.▪ Answer the question that was asked.▪ Plug in both answers and check your worka. The required equations are 6a+9p = 9.75 and 4a+5p = 5.75 .
b. The solution is given in the attached picture.
c. Apples are 1/2 and Peaches are 0.75
d. Solving the equations by putting the values
Let's take equation 1
6a+9p = 9.75
6 (1/2) + 9 (0.75) = 9.75
So equation satisfies both sides
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3 -1 ___ 1/4 = < >
which symbol is right?
Answers
Answer:
Greater than.
Step-by-step explanation:
3 - 1 = 2, 2 is greater than 1/4 which is equal to 0.25.
if h(x)=4-6x, find each of the following
h(-1)
h(10)
h(5)
Answers
Answer:
(-1)=10
(10)= -54
(5)= -26
Step-by-step explanation:
h(-1)=4-6(-1)
h(-1)=4 (-6*-1)
h(-1)=4+6
h(-1)=10
h(10)=4-6(10)
h(10)=4 (-6*10)
h(10)=4-60
h(10)=-54
h(5)=4-6(5)
h(5)=4 (-6*5)
h(5)=4-30
h(5)=-26
Hope this helps.
Please explain all the steps you used to get the answer.
Answers
The complete compound inequality is 9 <= 1.5x <= 12
How to complete the compound inequality?From the given figure, we have'
Height = x
Base = 3
The area of a triangle is
Area = 0.5 * Base * Height
So, we have
A = 0.5 * 3 * x
Evaluate
A = 1.5x
The compound inequality is given as
9 <= A <= 12
Substitute A = 1.5x in 9 <= A <= 12
9 <= 1.5x <= 12
Hence, the complete compound inequality is 9 <= 1.5x <= 12
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Find a counterexample to show that the given conjecture is false.
If n is a real number, then n³>n.
Answers
Let [tex]n=0[/tex]. Then [tex]0^3 = 0[/tex] but 0 > 0 is a false statement.
The temperature was -6 f it rose to 0f what represents the change in temperature
Answers
Aka the absolute value of negative six, which is equal to 6
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a parallel street that passes through (2, −3)?
y = 3x + 11
y = 3x − 9
y equals negative 1 third times x plus 1
y equals negative 1 third times x minus 7 thirds
Answers
The equation for the parallel street that passes through (2, -3) is: B. y = 3x - 9.
How to Find the Equation of Parallel Lines?Two lines that lie parallel to each other will have a slope (m) that is of the same value. The equation can be written as y = mx + b in slope-intercept form.
Find the slope of the line that passes through (4, 5) and (3, 2):
Slope (m) = change in y / change in x = (5 - 2)/(4 - 3)
Slope (m) = 3/1
Slope (m) = 3
The slope of a parallel line would also be 3.
Substitute (a, b) = (2, -3) and m = 3 into y - b = m(x - a):
y - (-3) = 3(x - 2)
y + 3 = 3x - 6
Subtract 3 to both sides of the equation
y + 3 - 3 = 3x - 6 - 3
y = 3x - 6 - 3
y = 3x - 9
Therefore, the equation for the parallel street that passes through (2, -3) is: B. y = 3x - 9.
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Which statement about this figure is true?
It has reflectional symmetry with one line of symmetry.
It has point symmetry.
It has no reflectional symmetry.
It has rotational symmetry with an angle of rotation of 180°.
Answers
if you were to cut the tree in half down the middle (line of symmetry), both halves would be equal. if you took one half of the tree, duplicated it, and reflected it across the line of symmetry, you would form the tree :)
Jordan can ride her skateboard 75 meters in 30 seconds. How long will it take Jordan to ride her skateboard 1500 meters.
Answers
Step-by-step explanation:
1500÷75= 20
30×20= 600 seconds
600÷60= 10 minutes
1 Latisha and Maisha are twins. They have a brother who is eleven years younger than
them and an older sister who is four years older. The sum of the ages of all four siblings
is 73. Find Latisha's age.
Answers
The twins would be 20, the younger brother is 9 and the older sister is 24. This adds up to 73!
find two possible lengths for CD if C, D, and E are collinear, CE 17.9 cm, and DE = 8.2 cm.
Answers
Two possible lengths for CD if C, D, and E are collinear, CE 17.9 cm, and DE = 8.2 cm is 12.3cm and 19.3cm.
In space, a point is a precise position or location. It is possible to depict it in relation to a coordinate system and its origin. It has no length and is a zero-dimensional entity.
A line is made up of an unlimited number of points that form a straight line. One-dimensional objects like lines lack both thickness and width. It stretches forever in both directions. An endpoint and a beginning point define a line segment, which is a component of a line. A linear equation can be used to depict a line.
D is between C and E
_ _ _
C D E
CD =CE-DE
CD=15.8-3.5cm
CD=12.3 cm
E is between D and C
_ _ _
D E C
CD=CE+DE
CD=15.8+3.5cm
=19.3cm
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The coordinates of the midpoint of GH¯¯are M(8, 0) and the coordinates of one endpoint are H(−2, 9)
Answers
Using the midpoint concept, the other endpoint of the segment is: G(18,-9).
What is the missing information?The problem asks for the coordinates of the other endpoint, given by point G.
What is the midpoint concept?The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence the x-coordinate of G is found as follows:
8 = (x - 2)/2
x - 2 = 16
x = 18.
The y-coordinate of G is found as follows:
0 = (y + 9)/2
y + 9 = 0
y = -9.
The other endpoint of the segment is: G(18,-9).
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Round 2798.01 to 2 significant figure
Answers
The approximation of 2798.01 to 2 significant figures is 2800
How to round the expression to 2 significant figures?The expression is given as
2798.01
The approximation is given as
2 significant figures
The above means that we approximate the given expression such that only 2 significant figures are left
In this case, the 2 significant figures in the expression 2798.01 are 2 and 7
So, we start the approximation from 9
When 9 is approximated, the expression becomes
2798.01 = 2800
Hence, the approximation of 2798.01 to 2 significant figures is 2800
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16 houses on 2 blocks = houses per block
Answers
Answer:
0.125
Step-by-step explanation:
Simplify this algebraic expression completely.
10y - 3(y + 5)
O A. 7y+2
O B. 7y+ 5
© C. 7y- 15
• D. 7y- 5
Answers
The answer for the following algebraic expression [tex]10y-3(y+5)[/tex] is Option C [tex]7y-15[/tex].
According to the given question statement, We are supposed to simplify the given algebraic expression [tex]10y - 3(y + 5)[/tex]
Solution is as follows:
[tex]10y - 3(y + 5)\\= 10y-3(y)-3(5)\\\[/tex]
[tex]=10y-3y-15[/tex]
[tex]=7y-15[/tex]
Hence [tex]7y-15[/tex] is our final answer.
Algebraic expression: The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We get to know how to express an unknown value using letters like x, y, and z in the basics of algebra. Here, we refer to these letters as variables. Variables and constants, both can be used in an algebraic expression. A coefficient is a value that is added before a variable and then multiplied by it. These letters are called as variables here. Both constants and variables may be employed in an algebraic expression. Any amount that is added before a variable and then multiplied by it is referred to as a coefficient.To learn more about Algebraic expression, click on the link given below:
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StarWatch Camping Site Charge per person: £5 per night Tent pitch: (ground surface) < 10 m² at £12 per night > 10 m² at £15 per night Special offer: For every 5 nights you stay, only pay for 4. Lila and Wassim are planning a stay at the StarWatch camping site. They will: ● share a tent between them, both stay for a total of 10 nights, • use a tent with a rectangular base measuring 2.5 by 4.2 metres. The holiday is just 9 weeks away and they each plan to save £12 per week from now until their holiday. Will they save enough money to cover all their camping site charges? If the answer is 'yes' say how much extra money they will save. You must show all your working.
Answers
Yes, Lila and Wassim saved the extra money of £16.
What is defined as the total cost?A total is a complete or whole amount, or "to total" means to add numbers or destroy something. In mathematics, you total numbers by having to add them together; the result is indeed the total. Whenever you add 8 and 8, you get 16.For the given data in question;
Charge/person for Camping Site : £5 per night
Charges for Camping Site Tent = £15 per night for Tent pitch > 10m²
calculate the tent pitch;
Tent Pitch = 2.5 × 4.2 = 10.5 > 10
Total charges for tent = £15 per night
As, 2 Lila and Wassim sharing Tent
Total charges per night = Charge/person + Charges for Camping Tent
= 2× £5 + £15
= £25 per night
For every 5 nights of the stay, pay is 4.
Cost for 10 nights for two persons.
Lila and Wassim have to pay the cost for 8 Nights;
Total charges = £25 × 8 = £200
Lila and Wassim each plan to save £12 per week for 9 weeks.
Thus, the total Saving = 2 × 9 × 12 = £216
total Saving = 216 > 200
As, total savings of Lila and Wassim are £216 which are greater than the £200 cost of camping.
The extra money saved is;
= £260 - £200
= £16.
Therefore, Yes, Lila and Wassim will save sifficient money to cover all camping charges with extra saved money of £16.
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15, 10, 20/3
Find the 9th term.
Answers
Answer:
15*2/3=10
10*2/3=20/3
20/3*2/3=40/9
40/9*2/3=80/27
80/27*2/3=160/81
160/81*2/3=480/243
480/243*2/3=960/729
960/729*2/3=1920/2187.
=1920/2187
The 9th term of the geometric sequence will be 1280 / 2187.
What is a geometric sequence?A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The sequence is given below.
15, 10, 20/3
The first term is 15. And the common ratio is given as,
r = 10 / 15
r = 2 / 3
The 9th term of the geometric sequence is given as,
a₉ = 15 · (2/3)⁹⁻¹
a₉ = 15 · (2/3)⁸
a₉ = 15 · 256/6561
a₉ = 1280 / 2187
The 9th term of the geometric sequence will be 1280 / 2187.
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You can earn 8 percent interest, compounded annually. how much must you deposit today to withdraw $10,000 in 6 years?
Answers
We must deposit (B) $6,301.70 today to withdraw $10,000 in 6 years.
What do we mean by compound interest?Compounding interest is an important concept in the financial sector that has a direct impact on the value of financial assets. According to this theory, received interest will be invested back in the initial investment. This will result in additional interest earnings on the initial interest.To find the amount:
Given -
Future account balance = $10,000N = 6I = 8%Estimate the initial deposit required to obtain $10,000 in 6 years:
Initial deposit = Balance/(1 + 1)ⁿInitial deposit = 10,000/(1 + 8%)⁶Initial deposit = 6,301.70Therefore, we must deposit (B) $6,301.70 today to withdraw $10,000 in 6 years.
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The correct question is given below;
You can earn 8 percent interest, compounded annually. How much must you deposit today to withdraw $10,000 in 6 years?
A. $5,402.69
B. $6,301.70
C. $6,756.76
D. $8,432.10
E. $9,259.26
I WILL GIVE 25 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer: The answer is b
Step-by-step explanation: Simplify and expand it to determine it
Find the equation of a line parallel to 3x + 3y = 21 that passes through the point
(8,-2).
Answers
Answer:
awsome
Step-by-step explanation:
565
The mean exam score for the first group of twenty examinees applying for a security
job is 35.3 with a standard deviation of 3.6.
The mean exam score for the second group of twenty examinees is 34.1 with a
standard deviation of 0.5. Both distributions are close to symmetric in shape.
a. Use the mean and standard deviation to compare the scores of the two groups.
b. The minimum score required to get an in-person interview is 33. Which group
do you think has more people get in-person interviews?
Answers
The mean exam score of the first group is [tex]35.3[/tex]
The mean exam score for the second group is [tex]34.1[/tex]
but [tex]35.3[/tex] is greater than [tex]34.1[/tex]
Standard deviation of the first group is [tex]3.6[/tex]
Standard deviation of the second group is [tex]0.5[/tex]
but [tex]3.6[/tex] is greater than [tex]0.5[/tex].
(a) We can draw a conclusion that the score of the second group is more evenly distributed.
(b) The second group has more people get in - person interviews because [tex]3.6\geq 0.6[/tex], so the scores of the exam for the second group are all close to 34.1. On the contrary, the score of exams for the first group is extreme polarization.
Mean: The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.Standard deviation: The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a database is in relation to its mean.To learn more about mean and standard deviation, click on the link given below:
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Please help i will give out brainlist
Answers
Answer:
x = 16
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] + 3 = 15 (subtract 3 from both sides )
[tex]\frac{3x}{4}[/tex] = 12 ( multiply both sides by 4 to clear the fraction )
3x = 48 ( divide both sides by 3 )
x = 16
that is
subtraction / multiplication / division
Answer: ( not totally sure but I hope this helps)
Step-by-step explanation:
1. Given
2. Multiplication property of equality
3. Subtraction
4. Division property of equality