The speed and the direction of the resulting blob of clay is 1.4m/s and 57.46 deg below +ve x-axis respectively.
What are vectors?The Latin word for carrier is vector. Points A and B are transported by vectors. The magnitude of the vector is the length of the line connecting points A and B, and the vector's direction is the direction in which point A moves in relation to point B. Other names for vectors are Euclidean vectors and spatial vectors. In many different domains, including mathematics, physics, engineering, and others, vectors are used.
Since there is no external force applied, So using momentum conservation:
Pi = Pf
Since the wreckage is locked onto each other after collision, So their final velocity will be same
m1*v1 + m2*v2 + m3*v3 = (m1 + m2 + m3)*V
m1 = mass of ball1 = 60 g
m2 = mass of ball2 = 20 g
m3 = mass of ball3 = 30 g
v1 = initial velocity of m1 = 4.0 m/sec towards 45 deg South of east = (4*cos(45deg) i - 4*sin(45 deg) j) m/sec
v2 = initial velocity of m2 = 2.0 m/sec towards North = (2.0 j) m/sec
v3 = initial velocity of m3 = 2.9 m/sec towards west = (-2.9 i) m/sec
V = final velocity of blob = x i + y j
So,
60*(4*cos(45deg) i - 4*sin(45 deg) j) + 20*(2.0 j) + 30*(-2.9 i) = (60+20+30)*(x i + y j)
(60*2.83 - 30*2.9) i + (-60*2.83 + 20*2.0) j = 110x i + 110 j
82.8 i - 129.8 j = 110x i + 110y j
By comparing both sides:
x = 82.8/110 = 0.753 i
y = -129.8/110 = -1.18 j
then, final speed will be:
V = 0.753 i - 1.18 j
Part - A
Speed of resulting blob of clay,
|V| = √((0.753)² + (1.18)²)
|V| = 1.4 m/s
Part-B
Direction after collision will be:
Direction = arctan (Vy/Vx) = arctan (-1.18/0.753) = -57.46 deg
Direction = 57.46 deg below +ve x-axis
Hence, the speed and the direction of the resulting blob of clay is 1.4m/s and 57.46 deg below +ve x-axis respectively.
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Anita attends a private school where she must wear a uniform. This year, the price of the uniform is $86.80, which is 9.6% more than it cost last year. How much were uniforms last year?
Round your answer to the nearest cent.
Answer:
Below
Step-by-step explanation:
x = price last year
x * .096 = price increase (.096 is 9.6% in decimal form)
price THIS year is x + x * .096
= 1.096 x
so:
86.80 = 1.096 x divide both sides of the equation by 1.096
79.20 = x = original price
In a group of 59 traders 26 sell gari 8 sell only rice 15 sell only maize 10 sell gari and rice 16 sell rice and maize and 42 sell maize.each trader sell at least one of the three items.find the number if traders who sell
A.gari or maize
B.gari and maize
C.only two food items
The number of vendors selling maize or gari Out of 59 dealers, 26 exclusively sell gari, 8 only offer rice, and 15 only sell maize. 16 sell wheat and maize, 10 sale gari and rice, 42 sell maize, and 6 sell gari.
How is math used in trading?To assess the trading strategies used by traders to complete a trade transaction, mathematical analysis is employed. Moreover, probability theory is used to evaluate the usefulness of money management strategies.
Out of 59 dealers, 26 exclusively sell gari, 8 only offer rice, and 15 only sell maize. Ten sell rice and gari, sixteen sell rice and maize, and forty-two sell maize.
Determine the quantity of dealers selling gari of corn using the formula below:
P(G ∪ R ∪ M) = P(G) + P(R) + P(M) - P(G ∩ R) - P(R ∩ M) - P(G ∩ M) + P(G ∩ R ∩ M)
59 = 26 + 8 + 15 - 10 - 16 - P(G ∩ M) + 42
59 - 42 = 49 - 26 - P(G ∩ M)
P(G ∩ M) = - 17 + 23
P(G ∩ M) = 6
Hence, there are 6 dealers selling gari or corn.
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Erica is making plans to build a fence on her property line. She uses the map shown. Find the m<1
Check the picture below.
now, we're assuming the street is a straight line and the line above the 100° is also another straight line, so hmmm the shaded polygon is really a 6-sided polygon, a hexagon.
[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies S=180(6-2)\implies S=720 \\\\\\ 142+72+148+130+80+\measuredangle 1=720\implies 572+\measuredangle 1=720\implies \boxed{\measuredangle 1=148}[/tex]
Between which two whole numbers does the product of 6 and 4 1/12
lies?
By multiplication, we know that the product of the numbers 6 and 4 1/12 comes between the whole numbers 24 and 25 respectively.
What do we mean by multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication.
Multiply in mathematics refers to the continual addition of sets of identical sizes.
One of the fundamental mathematical processes is multiplication.
The result of multiplying two or more numbers together is known as the product.
So, we have:
6 * 4 1/12
6 * 48+1/12
6 * 49/12
49/2
24.5
Which is: 24 < 24.5 < 25
Therefore, by multiplication, we know that the product of the numbers 6 and 4 1/12 comes between the whole numbers 124 and 25 respectively.
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The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 39 liters, and standard deviation of 5.2 liters.
A) What is the probability that daily production is less than 27.6 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
B) What is the probability that daily production is more than 49.4 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table.
a)The probability that daily production is less than 27.6 liters is given by the equation P ( x < 27.6 ) = 0.014179
b) The probability that daily production is more than 49.4 liters is given by the equation P ( x > 49.4 ) = 0.02275
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
Let the probability that daily production is less than 27.6 liters be represented as P
Now , the equation will be
a)
The observed value of x = 27.6 L
The mean of the sample μ = 39 L
The standard deviation of the sample σ = 5.2 L
Now , z-score is calculated using the formula:
z = (x - μ)/σ
Substituting the values in the equation , we get
z = ( 27.6 - 39 ) / 5.2
z = -2.19231
Now ,the p value from the z table is
P ( x < 27.6 ) = 0.014179
And , the probability is P ( x < 27.6 ) = 0.014179 = 1.418 %
Therefore , the probability that daily production is less than 27.6 liters is given by P = 1.418 %
b)
The observed value of x = 49.4 L
The mean of the sample μ = 39 L
The standard deviation of the sample σ = 5.2 L
Now , z-score is calculated using the formula:
z = (x - μ)/σ
Substituting the values in the equation , we get
z = ( 49.4 - 39 ) / 5.2
z = 2
Now ,the p value from the z table is
P ( x < 49.4 ) = 0.97725
P ( x > 49.4 ) = 1 - P( x < 49.4 ) = 0.02275
And , the probability is P ( x > 49.4 ) = 0.02275 = 2.275 %
Therefore , the probability that daily production is more than 49.4 liters is given by P₁ = 2.275 %
Hence , the probabilities are solved
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suppose a math class contains 25 students, 14 females (7 of whom speak french) and 11 males (4 of whom speak french). compute the probability that a randomly selected student is male, given that the student speaks french. round your answer three decimal places (if necessary)
The probability that a randomly selected student is male, given that the student speaks french is 0.3636.
Total number of student in a maths class is 25.
Out of those 25 students 14 are females.
And the remaining student 11 are male
The number of students who can speak French are from female side 7 and from male side is 4
So total number of students who can speak french is 11
Using the probability formula,
P = favorable outcome/Total
Probability that a randomly selected student is male, given that the student speaks french is,
P = 4 / 11
P = 0.3636
Therefore, The probability that a randomly selected student is male, given that the student speaks french is 0.3636.
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Which of the following statements are equivalent to the statement "price increased by 1/2 of what it was before"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 66 2/3% of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
Answer:
(B) The price is 150% of the price before
(E) The price is now 1.5 of what it was before
Step-by-step explanation:
You want to identify statements equivalent to "price increased by 1/2 of what it was before".
New priceFor some initial price of p, the new price is ...
p + 1/2p . . . . price increased by 1/2 of what it was before
This can be simplified to ...
p(1 +1/2) = p(1.50) . . . . price is now 1.5 of what it was
Expressed as a percentage, the multiplier is ...
p(1.50 × 100%) = p(150%) . . . . price is 150% of the price before
The correct choices are ...
(B) The price is 150% of the price before
(E) The price is now 1.5 of what it was before
<95141404393>
which of the following will cause ordinary least square (ols) estimates of a simple regression model, y = β0 + β1x + u to be biased?
Answer:
There are several factors that can cause ordinary least square (OLS) estimates of a simple regression model, y = β0 + β1x + u, to be biased:
1. Non-random sampling: If the sample used in the regression analysis is not random, then the OLS estimates may be biased. For example, if the sample only includes people who live in a specific area or only those who are a certain age, then the estimates will not be representative of the population as a whole.
2. Endogeneity: If one of the independent variables in the model is correlated with the error term, then the OLS estimates will be biased. This occurs when there is a omitted variable that is related to both the dependent variable and one of the independent variables.
3. Multicollinearity: When two or more independent variables in the model are highly correlated with each other, it can cause the OLS estimates to be biased. This occurs because the estimates become unstable when the variables are highly correlated.
4. Non-constant variance: If the variance of the errors in the model is not constant, then the OLS estimates will be biased. This occurs when the errors are not homoscedastic.
5. Specification error: If the wrong variables are included or excluded from the model, then the OLS estimates will be biased. This occurs when the model is misspecified.
How long will it take for a sum of money to quadruple at 10% compounded annually?
Answer:
Below
Step-by-step explanation:
For compounding annually , the formula would be
4x = x ( 1+ .1)^n x = deposit amount 4x = quadrupled
i = decimal interest (.10) and n = years
you can divide 'x' out of the equation to get :
4 = (1.1)^n solve for 'n' by taking LOG of both sides
log 4 = n log 1.1
log 4/log 1.1 = n = 14.54 years - ~~ 15 years
Spiral Review Complete the table representing a linear function.
Complete the table representing a linear function with y = 10 and x = 9
How to complete the table representing a linear function?The general form of a linear function is:
y = mx + c,
where m is the slope and c is the y-intercept
slope(m) = (y2-y1)/(x2-x1)
From the table:
point 1: x1 = 1, y1 = 0
point 2: x2 = 5, y2 = 40
slope(m) = (40-0)/(5-1) = 40/4 = 10
For the missing points:
x1 = 1, y1 = 0 and x2 = 2, y2 = y (unknown)
m = (y2-y1)/(x2-x1)
10 = (y-0)/(2-1)
10 = y/1
y = 10
x1 = 1, y1 = 0 and x2 = x (unknown), y2 =90
m = (y2-y1)/(x2-x1)
10 = (90-0)/(x-0)
10 = 90/x
10x = 90
x = 90/10
x = 9
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3/8 of students in a class have iPhones. The remaining students in the class have Samsung phones. If there are 6 more Samsung phones than iPhones, how many iPhones are there in the class?
Step-by-step explanation:
what is the total number of students in the class?
During Valentine's week, more people buy boxes of chocolates than in a normal week and chocolatiers offer their chocolates in special red boxes which cost more to produce than the everyday box.
The graph shows the market for chocolates during a normal week.
Draw a curve to show the effect when people buy more boxes of chocolates during Valentine's week. Label it 1.
Draw a curve to show the effect of chocolatiers offering their chocolates in special red boxes. Label it 2.
Draw a point to show the new equilibrium price and new equilibrium quantity.
The only price at which consumer and producer plans are in agreement is the equilibrium price, which is reached when the quantities of a good that consumers want to buy and a good that producers want to sell are equal.
What is the difference between equilibrium price and new equilibrium quantity?The equilibrium price, which is obtained when the quantity of a good that consumers want to buy (quantity requested) and the quantity of a good that producers want to sell (quantity provided) are equal, is the only price at which consumer and producer plans are in sync. This common quantity is referred to as the "equilibrium quantity".
If supply and demand are balanced in an economy, the equilibrium price will be reached. Thus, the manufacturer can create the same quantity of a good (supply) that consumers can purchase at this price (demand). As a result, supply and demand are met. Additionally, at this time, both buyers and sellers win. In addition, the equilibrium price contrasts with the idea of disequilibrium, in which supply and demand are not equal.
Supply and demand for a good are in equilibrium when the quantity is the same. In order to create economic equilibrium and equilibrium quantity, the supply and demand curves finally cross. This is hypothetically the most effective state the market can achieve and the state to which it naturally tends.
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9. Find b so that the vectors v=5i +2j and w=4i+b are orthogonal.
Answer:
b = -10
Step-by-step explanation:
Two vectors are orthogonal if and only if their dot product is zero. The dot product of v and w is given by:
(v · w) = (5i + 2j) · (4i + bj) = 5 * 4 + 2 * b = 20 + 2b.
For v and w to be orthogonal, we need the dot product to be zero, which means 20 + 2b = 0, so:
2b = -20
b = -10
Therefore, b = -10 makes the vectors v and w orthogonal.
Consider a situation in which sampling without replacement is used to generate a random sample from each of two separate populations. To calculate a confidence interval to estimate the difference between population proportions, which of the following checks must be made? (A) Each population must be at least 10 times as large as its corresponding sample. B) Both populations must be approximately normal. C The data from both samples must be unimodal, symmetrical, and approximately normal. D Each sample proportion value must be less than or equal to 0.5. E The sample sizes must be the same.
Each population must be at least 10 times as large as its corresponding sample of the following checks must be made .
What does confidence interval mean?
When you conduct your experiment again or resample the population in the same way, you may anticipate your estimate to fall inside a specific range of values a certain proportion of the time. This is known as the confidence interval.
What does the term "confidence interval" mean?
A 95% confidence level in statistics simply means that the researcher has seen one conceivable interval from a vast number of possible ones, from which 19 out of 20 intervals contain the true value of the parameter.
Confidence intervals are used by statisticians to assess a sample variable's level of uncertainty.
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translate: four times the difference of a number and 11
Answer:
Step-by-step explanation:
4(x+11)
find the length of the leg x. Enter the exact value, not decimal approximation
the value of x is 16.97
Given that:
The right angled triangle has hypotenuse of 18 units
Its one other side measures 6 units.
The length of unknown side is denoted by length x units.
To find:
Value of x
The Pythagoras theorem states that:
"In a right angled triangle, the square of length of its hypotenuse is equal to sum of square of other two sides' lengths"
Using Pythagoras theorem for given right triangle we have:
Thus, for given right triangle, the value of x is given as:
18²=[tex]x^{2} +[/tex]6²
324=[tex]x^{2}[/tex]+36
[tex]x^{2}[/tex]=324-36
[tex]x^{2}[/tex]=288
[tex]x[/tex]=√288
[tex]x[/tex]=16.97
the value of x is 16.97
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Which number sentence is true?
A. 82 < |-82|
B. |-82| < |-83|
C. |-83| < |83|
D. |82| > |-83|
let's say we are selecting a piece of fruit from a bowl.
Let's say there are 8 peaches and 6 other pieces of fruit.
What is the probability of selecting a peach?
What is the probability of not selecting a peach?
What is the total of these two probabilities, and why?
What is the probability of selecting a plum?
What is the total of these two probabilities, and why?
Answer:
The probability of selecting a peach is 8/14, or approximately 0.57.
The probability of not selecting a peach is 6/14, or approximately 0.43.
The total of these two probabilities is 1, because any given selection must either be a peach or not a peach.
The probability of selecting a plum cannot be determined because the number of plums in the bowl is not specified.
The sum of the probabilities of selecting a peach and a plum cannot be determined for the same reason as in 4.
Step-by-step explanation:
For a distribution that is skewed left, which of the following is true?
Choose the correct answer below.
a. mean
b. mean = median
c. mean> median
When a distribution is tilted to the left, the correct response is "mean median".
What is mean?The arithmetic mean, arithmetic average, or simply the mean or average, is the sum of a collection of numbers divided by the number of numbers in the collection in mathematics and statistics. The collection is frequently a collection of results from an experiment, observational research, or survey. The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.
Here,
For a distribution that is skewed left, it means that the values tend to be clustered towards the lower end of the scale and there is a long tail towards the higher end. In such a distribution, the mean is usually lower than the median.
So, the correct answer is "mean < median" when a distribution that is skewed left.
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if a runner starts at rest and reaches a speed of 20 m/s in 2 second. what is the acceleration?
Answer:
initial speed (u)= 0m/s (at rest)
final speed (v)= 20m/s
time taken (t)= 2seconds
we have,
acceleration;a= (v-u)/t
=(20-0)/2
=10m/s²
Answer:
[tex]10\frac{m}{s^{2}}[/tex]
Step-by-step explanation:
Let u = Initial speed [tex](\frac{m}{s})[/tex]
v = Final speed [tex](\frac{m}{s})[/tex]
t = time (seconds)
a = Acceleration
According to this question:
[tex]u= 0 \frac{m}{s}[/tex] (i.e starts at rest)
[tex]v = 20 \frac{m}{s}[/tex]
[tex]t = 20s[/tex]
a = ?
[tex]a = \frac{v - u}{t}[/tex]
= [tex]\frac{20 \frac{m}{s} - 0\frac{m}{s}}{2s}[/tex]
= [tex]\frac{20\frac{m}{s}}{2s}[/tex]
Acceleration= [tex]10\frac{m}{s^{2} }[/tex]
Please help a brothra out
L line
-2
-1
-15.5
-3.5
grph
Factor 8y2 + 6y + 1
and check.
The factorization of the given quadratic equation by grouping is (2y + 1) (4y + 1)
Factorization of quadratic equation by grouping.
Factorization is a method of finding factors for any quadratic expression, polynomial, or algebraic expression.
For a polynomial of the form ax^2 + bx + c, rewrite the middle term as a sum of two terms whose product is a×c = 8 × 1 = 8 and whose sum is b = 6.
Given that:
8y² + 6y + 1
8y² + 2y + 4y + 1
Factor out the greatest common factor from each group.
2y(4y + 1) + 1(4y + 1)
(2y + 1) (4y + 1)
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the sum of two consecutive integers 157. What is the product of these integers.
The sum of two consecutive integers 157 can be found by using the formula: x + (x + 1) = 157, where x represents the first integer.
Solving for x:
x + (x + 1) = 157
2x + 1 = 157
2x = 156
x = 78
So, the two consecutive integers are 78 and 79. The product of these integers is 78 * 79 = 6162.
Answer:
6162.
Step-by-step explanation:
Let's call the two consecutive integers x and x + 1. We know that their sum is 157, so we can write an equation:
x + (x + 1) = 157
Expanding and solving for x:
2x + 1 = 157
2x = 156
x = 78
So, the two consecutive integers are 78 and 79. The product of these integers is 78 * 79 = 6162.
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Answer:
Part A: The Interquartile Range for the males' data is estimated to be around 24-28.
Part B: The difference between the median values of the two data sets is estimated to be around 16.
Part C: Both the male and female data sets appear to follow a normal distribution. Due to the outlier present in the male data set, the mean would not be the best measure of center for this data set. Instead, the median would be a more appropriate measure of center for both data sets.
Part D: The possible reason for the outlier in the data set could be that the movie was more popular among male viewers on the day they chose to attend than it was among female viewers.
davey read 58 pages on saturday and p pages on
The value of p is 15
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day
Therefore everyday he reads 58+p pages per day
If he reads for 10 days and he reads a total 1408 pages then we have
In a week there is one Saturday
thus
9p+58=1408
9p=1350
p=15
Thus on the other days p is equal to 15 pages per day.
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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.
Suppose That The Fifty States Are The Observational Units (Subjects) Of Interest. Identify Which Of The Following Are Legitimate Variables (V) And Which Are Not (N). a. The Number Of States That
b. the percentage of the state's residents over 65 years of age
c. the highest speed limit in the state
d. whether or not the state's name consists of the one word
The different scenarios given in the question are categorized as legitimate variables or not as given below.
What is a variable?
A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable. A variable is a letter that stands in for an unknown; it always represents a number but can take on several meanings when used in an expression.
a) Numer of states that have a female governor has only one value and it cannot be varied. So it is not a legitimate variable(N).
b) The percentage of state's residents over 65 years of age is a legitimate variable (L) because the number will vary for different states.
c) The highest speed limit in the state is a legitimate variable(L) as the limits are different for different states.
d) Whether or not the state's name consists of one word is a legitimate variable(L) as it varies for different states.
Therefore the different scenarios are categorized as legitimate variables or not.
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June says that there should be a decimal
point in the quotient below after the 4.
Is she correct? Use number sense to
explain your answer.
43.94 5.2 = 845
Using the arithmetic operation of division, the value for expression 43.94 ÷ 5.2 is 8.45 where decimal point is before 4 and after 8.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
The expression is given as - 43.94 ÷ 5.2
Use the arithmetic operation of division -
43.94 / 5.2
Remove the decimal point by multiplying the numerator and denominator by 100.
(43.94 × 100) / (5.2 × 100)
4394 / 520
Now perform the operation of division -
4394 / 520 = 8.45
June says the decimal point should be after 4.
She is incorrect as the result shows that the decimal point is before 4.
Therefore, June is incorrect in her statement.
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A cup of coffee initially at 100°C cools to 80°C in 5 minutes while sitting in a room at constant temperature
28°C. What will be the temperature T of the coffee after 10 minutes?
The equation of line is y = -4x + 100 and the temperature of the coffee after 10 minutes is given by A = 60°C
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the temperature be represented as y
Let the number of minutes be represented as x
Now , the initial temperature is 100°C
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 100 )
Let the second point be Q ( 5 , 80 )
Now , the slope of the line between the points is ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 100 - 80 ) / ( 0 - 5 )
Slope m = 20 / -5
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 100 = -4 ( x - 0 )
y - 100 = -4x
Adding 100 on both sides of the equation , we get
y = -4x + 100
Now , when x = 10 minutes ,
y = -4 ( 10 ) + 100
y = -40 + 100
y = 60°C
Hence , the equation is solved and temperature after 10 minutes is 60°C
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Fernando lives in a house that is 8 meters below sea level. Fernando goes to school every day, which is 2 meters above sea level. How many meters does Fernando travel, in altitude, when going from home to school?
When going from home to school, Fernando travel 10 meters.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Fernando lives in a house that is 8 meters below sea level.
Fernando goes to school every day, which is 2 meters above sea level.
The total distance from home to school,
= 8 + 2
= 10 meters.
Therefore, the distance is 10 meters.
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Rose's Botanical Garden produced flowers throughout the year. A graph demonstrating how many flowers she produced over a 10-month period is shown:
A graph of a curve with x axis labeled Months and y axis labeled Number of Flowers Produced. The x-axis ranges from 0 to 10 in increments of 1 and the y-axis ranges from 0 to 60 in increments of 10. The curve starts at about 1 comma 22 and goes up to 6 comma 60 at the highest point and ends at about 10 comma 36.
What can be interpreted from the domain of this graph?
The domain represents the total number of flowers produced each month.
The domain represents the total number of flowers produced in 10 months.
The domain represents a 120-month period of flower production.
The domain represents a 10-month period of flower production.
The domain of the graphed function is interpret as follows:
The domain represents a 10-month period of flower production.
How to obtain the domain of the function?The domain of a function is composed by the set containing all the possible input values for the function, hence it is composed by all the values of x assumed by the function.
The input variable, represented by the x-axis, is defined as follows:
Number of Months.
Hence the correct option is given by the fourth option, as x ranges from 0 to 10.
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