The average distance that the airplane covered in three flights is 2036 kilometers, time in trip from Hongkong to Manila is 1.468 hours, time in trip from Singapore to Manila is 3.146 hours, time in trip from Korea to Manila is 3.422 hours.
Given the distance that an airplane covered in three different trips:
Hongkong-Manila: 1116 kilometers, Singapore-Manila: 2391 kilometers,
Korea-Manila: 2601 kilometers.
We are required to find the average distance traveled by the airplane in the three trips, the time it took in each trip if the speed of airplane is 760 km/h and the trip that took the longest time to travel.
Average distance that airplane travelled in the three trips=(1116+2391+2601)/3
=6108/3
=2036 kilometers
We know that speed=distance/time.
Time=Distance/speed
Time in trip from Hongkong to Manila=1116/760=1.468 hours
Time in trip from Singapore to Manila=2391/760=3.146 hours
Time in trip from Korea to Manila=2601/760=3.422 hours
We can observe that the trip from Korea to Manila took longest time to travel.
Hence the average distance that the airplane covered in three flights is 2036 kilometers, time in trip from Hongkong to Manila is 1.468 hours, time in trip from Singapore to Manila is 3.146 hours, time in trip from Korea to Manila is 3.422 hours and the trip from Korea to Manila took longest time to travel.
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Don’t have to do that graphing just need the slope please
The slope and y-intercept of each line are:
13. slope = 1/2; y-intercept: 0.
14. slope = 3; y-intercept: 0.
15. slope = -2/5; y-intercept = 0.
16. slope = -1; y-intercept = 1.
17. slope = -2/3; y-intercept = -4.
18. slope = 1; y-intercept = 0.
19. 7/9
20. 3/5
How to Determine the Slope and the Y-intercept of a Line?The slope and y-intercept of a line can be determine from the given equation of a line in slope-intercept form, y = mx + b, where:
Y-intercept is represented as b.Slope is represented as m.13. y = 1/2x,
The slope = 1/2
The y-intercept of the equation is: 0.
14. y = 3x,
The slope = 3
The y-intercept of the equation is: 0.
15. y = -2/5x,
The slope = -2/5
The y-intercept of the equation is: 0.
16. y = -x + 1
The slope = -1
The y-intercept of the equation is: 1.
17. y = -2/3x - 4,
The slope = -2/3
The y-intercept of the equation is: -4.
18. y = x,
The slope = 1
The y-intercept of the equation is: 0.
19. Slope = change in y / change in x = (18 - 11)/(19 - 10)
Slope = 7/9
20. Slope = change in y / change in x = (2 -(-1))/(9 - 4)
Slope = 3/5
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F(2,9) after a reflection over the y-axis.
Answer:
(-2, 9)
Step-by-step explanation:
hope it helped <3333 :D
Simplify 3/8 (16 R +32)
a 8R +12
B 48R +96
C 120R +256
D 42R +85
Answer:
6R+12
Step-by-step explanation:
Your options are wrong maybe...
3/8(16R+32)
= 6R+12
The half-life of a radioactive
substance is the time required for half of a sample to undergo radioactive decay, or for the quantity to fall to half its original amount. Carbon 14 has a half-life
of 5730 years. Suppose given samples of carbon 14 weigh 5/8 of a pound and 7/8 of a pound. What was the total weight of the samples 11,460 years ago?
The total weight of the samples 11,460 years ago is 6 pounds
What is Exponents?
Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as b^n and is pronounced as "b to the n."
The exponential process of radioactive decay is depicted by
[tex]A_{t}[/tex] =[tex]A_{0}[/tex] [tex]e^{-kt}[/tex]
where = Amount of the radioactive element after t years
[tex]A_{0}[/tex] = Initial amount
k = Decay constant
t = time in years
The carbon-14 half life is 5730 years.
[tex]A_{0}[/tex]/2 = [tex]A_{0}[/tex][tex]e^{-5730k}[/tex]
1/2 = [tex]e^{-5730k}[/tex]
At this point, we take ln (Natural log) on both sides.
ln(1/2) = ln [ [tex]e^{-5730k}[/tex]]
-ln(2) = -5730kln(e)
0.69315 = 5730k
k = 0.69315 / 5730
k = 1.21 x [tex]10^{-4}[/tex]
We now need to determine the weight in pounds of the C-14 samples that were taken for the remaining quantities.
5/8 =[tex]A_{0}[/tex] [tex]e(^{-1.21 * 10^{-4} * 11460})[/tex]
5/8 = [tex]A_{0}[/tex] [tex]e(^{-1.3863})[/tex]
[tex]A_{0}[/tex] = (5/8) [tex]e(^{-1.3863})[/tex]
[tex]A_{0}[/tex] = 5/8 x 4
[tex]A_{0}[/tex] = 5/2
[tex]A_{0}[/tex] = 2.5pounds
Similarly for 7/8 pound
7/8 = [tex]A_{0}[/tex] [tex]e(^{-1.21 * 10^{-4} * 11460 })[/tex]
7/8 = [tex]A_{0}[/tex] [tex]e(^{-1.3863 })[/tex]
[tex]A_{0}[/tex] = (7/8) [tex]e(^{-1.21 * 10^{-4} * 11460 })[/tex]
[tex]A_{0}[/tex] = 7/8 x 4
[tex]A_{0}[/tex] = 7/2
[tex]A_{0}[/tex] = 3.5 pounds
Hence, The total weight of the samples 11,460 years ago 2.5 + 3.5 = 6pounds
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Please someone help help me
Answer:
y - axis
Step-by-step explanation:
point moves from right to left
Find the circumference.
Use 3.14 for π.
G
r = 3 ft
C = [?] ft
C = πd
Answer:
c=2πr
c=2π3
put it in calculator
=18.8ft (1dp)
Help please! :)
Directions: Answer each question below, showing all pertinent work.
Solve all using Estimate.
A. –42.3 ÷ 3.4
B. 16.1 – (–14.7)
C. –15.52 + 54.25
D. ‐67.8 ‐ 5.72
1.Brock had $3084 in his checking account. He wrote checks for $350 for rent, $275 for auto repair, and
$169 for a loan payment. Find the amount remaining in his account.
2.Linda’s paycheck was for $2312. She spent $157 on rent, $322 on food, $478 on child care, $234 on
transportation, and $290 on other things. She put the rest of her paycheck in savings. How much did
she put in savings?
A1) Using estimate, the solutions to the following are:
A) is -14.
B) is 31.
C) is 38.
D) is -74.
1. The remaining amount in Brock's account after writing the checks is $2,290.
2. Linda put $831 in her savings account after meeting her expenses.
What is an estimate?An estimate is a rough calculation.
To do an estimate, the figures may be appropriated or rounded up.
Estimates:A. –42.3 ÷ 3.4
= -14 (–42 ÷ 3)
B. 16.1 – (–14.7)
= 31 (16 – (–15)
C. –15.52 + 54.25
= 38 (–16 + 54)
D. ‐67.8 ‐ 5.72
= -74 (‐68 ‐ 6)
Brock:The amount in Brock's checking account = $3,084
Checks:
Rent $350
Auto repair $275
Loan payment of $169
Total amount for checks = $794
Remaining amount = $2,290 ($3,084 - $794)
Linda:The total amount of the paycheck = $2,312
Expenses:
Rent $157
Food $322
Child care $478
Transportation $234
Miscellaneous expenses $290
Total expenses = $1,481
Savings account = $831 ($2,312 - $1,481)
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The PTA at a school want to sell chocolate bars to support the school PTA. They asked a random sample of 10 students how many chocolate bars they would be willing to buy at a price of $2 for each bar. Their responses are summarized in the following dot plot:
If there are a total of 250 students at the school and the sample is representative of the entire school's population of students, which of the following is the most reasonable estimate of the total number of chocolate bars the PTA can expect to sell to all the students of the school? A. 250
B. 500
C. 600
D. 750
Answer:
B
Step-by-step explanation:
the most answered was 2. 2x250=500
help please please help thanks
Please help me fast I will mark brainliast
Answer:
See attached worksheet.
Step-by-step explanation:
(y-1.1)(-3y)
= (y) ( ) ( ) (-3y)
= -3y __ __ 3.3
i feel like god oo yeah i feel like god oo yeah take my glasses of i can seethm
ez xd trash lol imagine needing brainly trash ah
Step-by-step explanation:eeeezzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
a college has over 5{,}0005,0005, comma, 000 students, 10\, percent of which are left-handed. a new lecture hall is being planned that will seat 300300300 students, and college officials want to be sure there are enough left-handed desks. suppose we randomly select groups of 300300300 students from this college. what are the mean and standard deviation of the number of left-handed students in each group of 300300300? you may round your answers to the nearest tenth.
The mean of the given data is 30 students and the standard deviation is 5.2.
What is standard deviation?
The standard error of either a statistic (such as the sample mean) and the standard deviation of a sample or population are fundamentally separate but related concepts.
The standard deviation of the collection of means that would be discovered by taking an unlimited number of multiple samples from the population and calculating a mean for each sample is the sampling mean's standard error.
The sample standard deviation reduced by the sample size is used to estimate the mean's standard error, which turns out to be equal to the population variance times the square root of the random sample.
Given that,
5,000 students, 10 % of which are left-handed.
A new lecture hall is being planned that will seat 300 students.
The mean is 30 students
standard deviation is 5.2 students
The mean of the given data is 30 students and the standard deviation is 5.2.
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(a) The perimeter of a rectangular garden is 292 m.
If the length of the garden is 89 m, what is its width?
Width of the garden: ?
(b) The area of a rectangular window is 7968 cm².
If the width of the window is 83 cm, what is its length?
Length of the window: ?
Answer:
(a) Let width of garden be w m.
Perimeter = length + width + length + width
Substitute the values into the equation.
89 + w + 89 + w = 292
Simplify and solve for w.
2w + 178 = 292
2w = 114
w = 57
Hence, width of garden is 57 m.
(b) Let length of window be L cm.
Area = length × width
Substitute the values into the equation.
L × 83 = 7968
Simplify and solve for L.
83L = 7968
L = 96
Hence, length of window is 96 cm.
the city of raleigh has 7600 registered voters. there are two candidates for city council in an upcoming election: brown and feliz. the day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 128 said they'd vote for brown, 101 said they'd vote for feliz, and 21 were undecided.
This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.
Due to that, There are 7,600 registered voters in Raleigh. Brown and Feliz are the two candidates running for city council in the upcoming election. A telephone survey of 550 randomly chosen registered voters was performed the day before the election. 205 people declared they would support Brown, 317 people would support Feliz, and 28 people were unsure.
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown can be calculated as follows:
p = 205/550 =0.3727
Expected number of voters who vote for Brown:
The expected number of voters who vote for Brown can be calculated as follows:
E voters who vote for Brown =7600 *0.3727=2832.52= 2833 (Approx.)
This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.
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A monopoly player claims that the probability of getting a when rolling a six-sided die is because the die is equally likely to land on any of the six sides. Is this an example of a theoretical probability or an empirical probability? explain.
It is an illustration of theoretical probability.
Theoretical probability establishes the probability of certain events occurring.
The ratio of the entire number of conceivable possibilities to the intended outcome is known as theoretical probability.
In this case, the intended consequence is earning a 2, which is only one of the six potential possibilities. The possibility of receiving a 2 is.
Observance determines empirical probability. Nothing about the observing of the specified episode is indicated in the question, hence it is not an empirical probability.
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in a multiple regression analysis involving two independent variables, if b1 is computed to be 2.0, it means that
In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .
What is multiple regression analysis?Multiple regression is a statistical method that may be used to assess a single dependent variable and several independent variables. Multiple regression analysis use known independent variables to anticipate the value of a single dependent variable. Each predictor value is assigned a weight, which indicates how much each predictor contributed to the overall forecast.
CalculationIn a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .
The estimated value of Y increases by an average 2 units for each increase of 1 unit of X1, holding X2 constant.
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One side of an envelope is 3 inches longer than the other side. The area of the envelope is 108 in²Determine the dimensions of the envelope.
Dimensions of envelope will be Length will be (x + 3) = (9 + 3) = 12 and Breadth will be x = 9.
Envelope can be considered as the shape of rectangle.
Rectangle has length and breath which can be considered as the sides of envelope.
Now we have given one side of envelope is 3 inches longer than the other side of envelope.
let side of envelop be x inches than other side will be (x + 3) inches.
Now we have also given that the area of envelop is 108 in².
The Area of rectangle = (length)(breadth).
let length of envelop be (x+3) as its bigger than its breadth x.
∴ Substitute area of rectangle with the area of envelope.
∴ (x + 3)(x) = 108.
∴ x² + 3x = 108.
∴ x² + 3x - 108 = 0.
∴ x² + 12x -9x - 108 = 0
∴ x(x + 12) -9(x +12) = 0
∴ (x-9) (x +12) = 0
∴ (x-9) = 0 and (x +12) = 0
∴ x = 9 and x = -12
Now as dimensions cannot be negative ∴ x = -12 is rejected.
∴ x = 9 is considered
∴ Length will be (x + 3) = (9 + 3) = 12.
∴ Breadth will be x = 9.
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What is the 10th term of the sequence 5,2, 4/5,….
Good evening,
Answer:
-512/390625
Step-by-step explanation:
an=a1 •r^n-1
a10=5 • -0.4^10-1
a10=5 • -0.4^9
a10=5 • -512/1953125
a10= -512/390625
The stock of Company A gained $6.65 throughout the day and ended at a value of $101.65. By what percentage did the stock rise?
Make an equation for the first question
Then use the equation to find the cab fare if zarela has a 1.8 mile commute to work
The two equations are : 6x + m = F
and 6x + 1.8 m = F
How to solve a linear equations ?A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b)
Let the total time be x
Given distance Zarela travels is m
Thus the total cab fare = F
Therefore the equation becomes;
6x + m = F
In the second part of the question it is given that Zarela travels for 1.8 mile
thus the equation becomes
6x + 1.8 m = F
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Find the value of z.
Answer:
it depends on what is z for, if it's for the whole triangle then i would think it would be 2z - 4 10 and 7 added or multiplied. Or it could be 2z -4 witch would be z = 2
y=x² + 2x - 2
iii) Find the values of x
when y = 2
Answer: 1.236, -3.236 or [tex]-1-\sqrt{5} and -1+\sqrt{5}[/tex]
Step-by-step explanation:
2 = x^2 + 2x -2
x^2 + 2x - 2 -2
x^2 +2x -4
put into quandratic formula
Given f(x) = 3x³ + kx- 10, and x - 2 is a factor of f(x), then what is the value of k?
Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. Therefore, the value of k is -7.
What are Polynomials?A polynomial is an expression in mathematics made up of coefficients and indeterminates, which are also known as variables. It can only be solved using the addition, subtraction, multiplication, and powers of positive-integer variables. For instance, x3 + 2xyz2 yz + 1 has three indeterminates. Value In both mathematics and science, polynomials are widely used. For instance, they are used to define polynomial functions, which can be found in a variety of contexts, from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. If f(x) = 3x³ + kx- 10 , If x -2 is a factor of the given equation, then,x - 2 = 0 ⇒ x = 2, On substituting, x =2, f(x) = f (2) = 0.So, f (2) = 3(2) ³ + k2- 10 = 0⇒ 24 + 2k -10 = 0 and 2k = -14⇒ k = -14/2, so k = -7In higher mathematics, polynomials are employed to build algebraic varieties and polynomial rings, which are fundamental ideas in algebra and algebraic geometry.To learn more about Polynomials, refer to:
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if a regression model is constructed from the data given here, what is the residual for the prime interest rate of 8%? bond rate in 5% 12% 9% 14% 7% prime interest rate 14% 6% (x) 8% 5% 7% o a 11.12 o b.-5.16 o cobb od.-0.88
The residual for the prime interest rate is 0.88.
What is a regression equation?
An equation created to explain the relationship between independent and dependent variables is known as an estimated regression equation in statistics.
The relationship between the dependent and study variables is first hypothesized using a simple or multiple regression model. The most popular technique for creating estimates of the model variables is the least squares method.
Predicting the worth of the dependent variable while values for the predictor factors are known is one of the main uses of both the estimated regression equation.
From the given regression model,
n = 5
∑X = 40
∑Y = 47
∑XY = 333
∑X² = 370
n∑X.Y - ∑X.∑Y = -215
n∑X² - (∑X)² = 250
∑Y.∑X² - ∑X∑XY = 4070
FOR REGRESSION EQUATION
a= ( ∑Y.∑X² - ∑X∑XY )/ (n∑X² - (∑X)² ) = 16.28
b = (n∑X.Y - ∑X.∑Y) / (n∑X² - (∑X)² ) = -0.86
ŷ = b x + a = -0.86 x + 16.28
predicted value at x = 6 ;
ŷ = (-0.86 * 6) + 16.28 = 11.12
Residual = y - ŷ = 12 – 11.12 = 0.88
The residual for the prime interest rate is 0.88.
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bro can someone help please i’ve been struggling all day
Answer:
x = 7
Step-by-step explanation:
How many circular tiles are needed to make pattern number 20
Answer:
84 circle for pattern 20
Step-by-step explanation:
we know that by studying the first 3 patterns we know that the corner pieces (that have multiple circles on them) has 3 circlesThe edge pieces (the ones with 1 circle on them) we now know what to doFor each pattern number that is how many squares (x) are [tex]x^{2}[/tex] to find how many squares in totalWe know we need to find square pattern 20We now know how many squares are gonna be on each side (20)look at attachment1 for referencenow we are gonna look atttachment2now we are gonna count the edges on each side (the blue) we get 18 on each side so we do 18*4 and that is 72now we know that the edges only have one circle on it so for the edges we have 72now for the corners, we know that there are 3 per corner piecenow we count the corners ( there are 4 in total)now we do 4*3 and that is 12now we add the total circles for the corners (12) and the edges (72) 12+72= 84pattern 20 has 84 circlesSimplify: -42 30(cubed) / 12 10 (cubed)
The fundamental guidelines and procedures to simplify any algebraic statement are as follows:By multiplying factors, remove any grouping symbols like brackets and parenthesis.
If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.
Simplify: -42 30(cubed) / 12 10 (cubed)?
By removing the denominators, convert fractions to integers.
Because the denominators of our two fractions differ, we must calculate the Least Common Denominator and rewrite our fractions using the common denominator as needed. LCD(-42/30, 12/10) = 30
Now that the denominators of our two fractions are similar, we may multiply them both by 30 to get rid of the denominators.
The final result is: -42/30: 12/10 = -42: 36
With the highest common factor, attempt to further reduce the ratio (GCF).
GCF is 6 for -42 and 36.
Divide both terms by the GCF, 6, as follows: -7 36 6 = 6; -42 6 =
By dividing both parts by the GCF = 6, the ratio -42:36 can be reduced to its smallest terms: -42:36 = -7:6.
Therefore:
-42/30 : 12/10 = -7 : 6
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a bank sends its customers an e-mail when their accounts fall below -10$. Which inequality models this situation??
The inequality which models the given situation will be;
⇒ x < - $10
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The condition is;
''A bank sends an e-mail to its customers when their accounts fall below -10$.
Now,
Let the total balance in his account = x
Then, we can formulate;
The inequality for the given situation is;
⇒ x < - $10
Therefore,
The inequality which models the given situation will be;
⇒ x < - $10
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There may be more then one answer
Will give brainlest
15. pls help need to turn in asap by midnight
The equation of a line in the point-slope form will be:
(y2 - y1) = m (x2 - x1)
As per the table, the equation of this line in the point-slope form will be:
(30 - 25) = m (130-120)
Now,
(30 - 25) = m (130-120)
⇒ 5 = m (10)
⇒ m = 10/5 = 2
So, the slope of this line = m = 2
In the Slope - Intercept form, the equation is written as:
y = mx + c
⇒ y = 2x + c
The value of c = 0.
What is the Slope of a line?A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. A common symbol for slope is the letter m. Finding the ratio of "vertical change" to "horizontal change" between any two distinct points on a line yields the slope. The ratio can also be written as a quotient, which produces the same number for every two different points on the same line. A negative "rise" refers to a decreasing line. The line could be functional, set by a road surveyor, or depicted in a diagram that represents a road or a roof as a description or a plan.The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn in one of four directions: upward, downward, horizontal, or vertical.To learn more about the Slope of a line, refer to:
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