Angelo and Daniela now want to race in a slow moving river. The race course is still 120 yds, but now it
is all downstream. The current in the river adds 1 yard per second to their speed. Angelo can still
paddle his kayak at 2 yards per second and Daniela can paddle at 1.5 yards per second in still water.
but now the current helps them.
a. What is the new rate of travel for Angelo? How long does it take him to complete the course
now?
b. What is the new rate of travel for Daniela? How long does it take her to complete the course
now?
Answers
A) Angelo's new speed is 3 yd/s, and he will take 40 seconds to finish the course.
B) Daniela's new speed is 2.5 yd/s, and she will need 48 seconds to finish the course.
How to find the new rates of travel?Here we know that the current in the river adds 1 yard per second to their speed. So if the speed originally is S, then the new speed is S + 1 yd/s
Here we know that Angelo can paddle his kayac at 2yd/s, then the new speed is:
A = 2yd/s + 1yd/s = 3yd/s
Now, if the total length is 120 yards, then the time it will take angelo to complete that distance is:
120yd/( 3yd/s) = 40 seconds.
For daniela, her speed originally is 1.5 yd/s, then the new speed is:
D = 1.5 yd/s + 1 yd/s
D = 2.5 yd/s
And the time in which she will finish the course is:
time = 120yd/( 2.5 yd/s) = 48 seconds.
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Related Questions
Factor the polynomial as a perfect square or state that it is irreducible. x2 - 15x +225 irreducible (x+15)(x - 15) (x+15)2 (x - 15)²
Answers
The polynomial x^2 - 15x + 225 can be factored as a perfect square. It factors as (x - 15)^2.
To determine if the polynomial x^2 - 15x + 225 can be factored as a perfect square, we need to check if the quadratic term and the constant term are perfect squares and if the middle term is twice \product of the square roots of the quadratic and constant terms.
In this case, the quadratic term x^2 is a perfect square of x, and the constant term 225 is a perfect square of 15. The middle term -15x is also twice the product of the square roots of x^2 and 225.
Therefore, we can factor the polynomial as a perfect square: (x - 15)^2. This indicates that the polynomial can be written as the square of a binomial, (x - 15), and is not irreducible.
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In observational studies, the variable of interestA. cannot be numerical.B. must be numerical. C. is controlled. D is not controlled.
Answers
The variable of interest A is not controlled when we talk about observational studies. Hence, option D is the correct answer.
A variable of interest is a quantity in observational studies. In experimental studies, a changing quantity that we are interested in measuring is called the variable of interest. A few more of these are called the factors of the study and are controlled in order to obtain the data regarding how the factors influence another variable which in turn is called the response variable, or simply put, the response.
In observational studies, we are not able to control the variable of interest and hence, amongst the given options, it becomes that the correct option is option D.
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Consider seven points in 1-D, the one-dimensional space. Suppose a partitioning into two clusters C1 and C2 has been obtained by a k-medoids method (i.e., k=2). Let my and m2 be the representative objects of C1 and C2, respectively, m1 = 30 and m2 = 32. Cluster C1 has been assigned the (non-representative) points P1 = 3 P2 = 30 and cluster C2 the points P3 = 18 P4 = 23 p5 = 34 Using the Manhattan distance (i.e., the absolute value of the difference between two points) as the dissimilarity measure, calculate the absolute error E of the given partitioning.
Answers
By using Manhattan as the dissimilarity measure, the absolute error of the given partitioning is 52.
How to calculate absolute errorUsing the Manhattan distance, the distance between a point x and its representative object y is given by:
d(x, y) = |x - y|
The absolute error E is given by:
E = ∑d(x, y), for all x in the dataset
where y is the representative object of the cluster to which x belongs.
Using the given information, the dataset consists of the following seven points:
{3, 18, 23, 30, 30, 32, 34}
The representative objects of clusters C1 and C2 are m1 = 30 and m2 = 32, respectively.
Points P1 = 3 and P2 = 30 belong to cluster C1,
Points P3 = 18, P4 = 23, and P5 = 34 belong to cluster C2.
Therefore, we have:
d(P1, my) = |3 - 30| = 27
d(P2, my) = |30 - 30| = 0
d(P3, m2) = |18 - 32| = 14
d(P4, m2) = |23 - 32| = 9
d(P5, m2) = |34 - 32| = 2
Hence, the absolute error E is the sum of these distances:
E = d(P1, my) + d(P2, my) + d(P3, m2) + d(P4, m2) + d(P5, m2)
= 27 + 0 + 14 + 9 + 2 = 52
Thus, the absolute error of the given partitioning is 52.
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Plz Help! School is over tommorow and this is last thing I got to do.
Answers
Answer:
C
Step-by-step explanation:
can i get brainleist plz
Answer:
The first choice
Step-by-step explanation:
When the question says 6 hours or less, then you would use this sign ≤.
The answer choices are easy to cross out because there's only one answer choice that matches the question and that is letter choice A.
8x goes with ≤ 6 and 12x goes with the number that is greater than 6. So, your answer choice is A.
Solve p+3 (show all of the steps) p=7
Answers
Answer:
10
Step-by-step explanation:
7 + 3 = 10
Not really that much to it lol
What is distribution of sample in R?
Answers
The repeated sampling of a population is known as distribution of sample in R.
What is sampling distribution?The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution. The frequency distribution of a variety of possible outcomes for a population statistic makes up the sampling distribution of a specific population.
What is distribution?The relationship between observations of various heights is described by the distribution, a mathematical function. Simply said, a distribution is a grouping of data, or scores, on a variable. These scores are typically listed from smallest to largest, after which they might be displayed graphically.
The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.
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A shirt cost $2 less than three-fourths the price of a pair of pants. If the
shirt cost $7 what is the cost of a pair of pants?
Answers
The answer is $12. Three-fourths of $12 is $9. 9 - 2 = 7.
how many 1/3 minutes are there in 5 minutes
Answers
Answer: 15
Step-by-step explanation:
3 1/3ds in 1 minute, multiply 3 by 5
Answer:
15
Step-by-step explanation:
15 thirds contain 5 integers:
\(\frac{5}{\frac{1}{3} } =\frac{(5)(3)}{1} =\frac{15}{1} =15\)
Hope this helps
Consider Jerry's decision to go to college. If he goes to college, he will spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. If he does not go to college, he will earn $27,000 working in a store and spend $10,000 on room and board. Jerry's cost of going to college is $29,000 $56,000 $46,000 $66,000
Answers
Jerry's cost of going to college is $29,000.
Jerry's cost of going to college is $29,000. The cost of going to college is a major concern for many students. As a result, making a sound financial plan is essential when considering post-secondary education. It is important to weigh the costs of going to college against the benefits of obtaining a degree. Jerry has to make a choice between going to college or working in a store. If he chooses to go to college, he will have to spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. Therefore, his total cost of attending college is
$29,000 ($15,000 + $12,000 + $2,000).
If he decides not to go to college, Jerry will earn $27,000 by working in a store and spend $10,000 on room and board. By adding up his earnings and expenses, he will have a total of
$17,000 ($27,000 - $10,000)
In this case, it is less expensive for Jerry not to go to college. He will have $12,000 more in his pocket ($17,000 - $29,000) if he does not go to college. Therefore, Jerry's cost of going to college is $29,000.
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Joan draws a bar chart to show the temperatures at midday on March 1st in five cities. Joan has made four mistakes in her diagram. Write down any three of them.
Answers
Answer:
Step-by-step explanation:
Properties of a bar graph:
1). There should be equal space between the bars or the columns.
2). Width of each bar or columns should be same.
3). All bars should have same base.
4). Height of each bar will show the value of the data.
By these properties,
- Space between London-Paris, Rome-Oslo are not equal.
- Width of Munich bar is different from other bars.
Part II: Constructed Response (2 pt)
4) (LT #5) One of the games at a carnival involves trying to ring a bell with a ball by hitting a
lever that propels the ball into the air. The height of the ball is modeled by the equation
h(t) = -10t2 + 30t. If the bell is 25 ft above the ground, will it be hit by the ball. Explain or justify
your response
Students, draw anywhere on this side!
Answers
Answer:
here hereh ehreh ehe
Step-by-step explanation:
Which word(s) correctly fills in the blank? Rational numbers include integers, fractions, and terminating or repeating _____________.
A. numbers
B. negative numbers
C. decimals
D. exponents
Answers
Answer: C and also I love Fred and george Weasley omg I love Harry Potter so much
Step-by-step explanation:
A school bought 4 copies of a textbook this week. The school spent a total of $204 for the 4 copies. How much did each copy. Of the textbook cost?
Answers
Each copy of the textbook cost $51
18
Drag each statement to the correct location on the table.
Classify the statements based on whether they are represented by +3 or -3.
deposit of 53
3 feet above sea level
loss of 53
3 F below OF
3 floors below ground level
3°F above OF
+3
-3
Reset
Next
Answers
Answer:
The 1st, 2nd and last statement on the +3 side and the rest three statements on the -3 side
You have just signed up for a broadband home internet service that uses coaxial cable. which connector type will you most likely use?
Answers
Answer:
F type connector
Step-by-step explanation:
Use an F-type connector for broadband cable connections that use coaxial cable.
The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,
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F type connector
The F-connector is a coaxial RF connector commonly used for "wireless" terrestrial television, cable television, and common for satellite television and cable modems, usually with RG-6/U cable or with RG -59 / U.F connector is also known as threaded connector. There are two main types: 7mm (6.8mm) is the most common and used in coaxial cable, and 5mm connector is used in thin coaxial cable commonly used in satellite system.
The F-connector is an accessory that connects a coaxial cable to an electronic device or wall outlet.
Type F connectors are highly mechanical and electrically stable coaxial screw connectors for cable television (CATV), set-top boxes, cable modems and satellite television applications up to 4 GHz
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rectangular prism: length 16 feet, width 12 feet, height 42 feet
Answers
450000000000 in standard form
Answers
Answer:
4.5 * 107
Step-by-step explanation:
identify a syntax that sets the data type of the registerdate field to ""date"".
Answers
To set the data type of the registerdate field to "date", the syntax would depend on the programming language or database management system being used. However, here are some examples:
In SQL, the syntax would be:
ALTER TABLE tablename MODIFY COLUMN registerdate DATE;
This statement modifies the registerdate column in the tablename table to have a data type of DATE.
In PHP, the syntax for creating a table with a register date column of data type DATE would be:
CREATE TABLE tablename (
...,
registerdate DATE,
...
);
This creates a table called tablename with a column called registerdate of data type DATE.
In Python using SQLAlchemy, the syntax for defining a registerdate column of data type Date in a declarative base would be:
from sqlalchemy import Column, Date
class MyTable(Base):
__tablename__ = 'mytable'
registerdate = Column(Date)
This creates a MyTable class with a column called registerdate of data type Date.
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To set the data type of the registerdate field to "date", the syntax would depend on the specific programming language or database system being used. However, a common syntax to set the data type to "date" is:
registerdate DATE;
This syntax would typically be used in the creation of a table or the declaration of a variable in a programming language that supports date data types.
To identify a syntax that sets the data type of the 'registerdate' field to "date", you can use the following SQL statement:
```sql
CREATE TABLE your_table_name (
registerdate DATE
);
```
Here's a step-by-step explanation of the syntax:
1. "CREATE TABLE" is the command to create a new table in the database.
2. "your_table_name" should be replaced with the desired name for your table.
3. Within the parentheses, you define the columns and their data types.
4. "registerdate" is the name of the field that you want to set the data type for.
5. "DATE" is the data type you are setting for the 'registerdate' field.
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Perform the following operations. (4.703+(4.05×10−2))/(1.2×10−2)= 4.06×10−3 4.0×10−2 8.2073×102 4.743 4.0×102 Question 9 Perform the following operations. (3.25×10−4)/(8.012×10−2)−(2.000×10−2)=−1.59×10−4−1.6×10−2−1.59×10−2−1.594×10−2−1.594358×10−2
Answers
The result of the operation is -1.594×10⁻²).
How do we perform the given operation: (3.25×10⁻⁴)/(8.012×10⁻²)−(2.000×10⁻²)?To solve the given expression, we start by dividing 3.25×10⁻⁴ by 8.012×10⁻²). This can be done by dividing the coefficients (3.25 ÷ 8.012) and subtracting the exponents (10⁻⁴ ÷ 10⁻²).
The division of the coefficients gives us 0.4047, and subtracting the exponents gives us 10 (-4-(-2)) = 10⁻² = 0.01. Therefore, the division of the two numbers results in 0.4047 × 0.01 = 0.004047.
Next, we subtract 2.000×10⁻² from the result obtained above. This is done by subtracting the coefficients (0.004047 - 2.000) and keeping the same exponent (-2).
Performing the subtraction gives us -1.995953, and the common exponent remains -2. Therefore, the final result is -1.995953 × 10⁻² = -1.594×10⁻².
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Manuel is saving money for college. He already has $250. He plans to
save another $50 per month,
Regardless of how many months he saves, how much does he save each
month?
Answers
Step-by-step explanation:
That is $250-$50=$200
why because he plans to
save $50 per month and
he already has$250to begin
so that explains what i did
(Trig)A Ferris wheel with a diameter of 90 meters rotates at a rate of 3 minutes per revolution. Riders board the Ferris wheel 3 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts.
Write a formula for the height of the couple t seconds after the ride begins.
How many seconds after the ride starts will the couple be 70 meters above the ground for the second time?
Answers
Answer:
Step-by-step explanation:
Answer:
65x-489
Step-by-step explanation:
List the first 9 terms of the sequence defined recursively by Sn = Sn-2• (Sn-1 - 1), with s(1) = 2 and s(2)= 3.
Answers
Answer:
2, 3, 4, 9, 32, 279, 8928, 2,491,833, 22,236,502,176.
Step-by-step explanation:
To find the first 9 terms of the sequence defined recursively by S_n = S_{n-2} * (S_{n-1} - 1), with S(1) = 2 and S(2) = 3, we can use the recursive formula to calculate each term step by step. Here are the first 9 terms:
S(1) = 2 (given)
S(2) = 3 (given)
S(3) = S(1) * (S(2) - 1) = 2 * (3 - 1) = 2 * 2 = 4
S(4) = S(2) * (S(3) - 1) = 3 * (4 - 1) = 3 * 3 = 9
S(5) = S(3) * (S(4) - 1) = 4 * (9 - 1) = 4 * 8 = 32
S(6) = S(4) * (S(5) - 1) = 9 * (32 - 1) = 9 * 31 = 279
S(7) = S(5) * (S(6) - 1) = 32 * (279 - 1) = 32 * 278 = 8928
S(8) = S(6) * (S(7) - 1) = 279 * (8928 - 1) = 279 * 8927 = 2,491,833
S(9) = S(7) * (S(8) - 1) = 8928 * (2,491,833 - 1) = 8928 * 2,491,832 = 22,236,502,176
Triangle ABC is translated by the rule (x, y) → (x - 1, y + 6) then reflected across the y- axis. What are the coordinates of A”,B”, and C”?
Answers
The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Given triangle has coordinates,
A(2, -2), B(5, -3) and C(2, -4).
First the triangle is translated by the rule (x, y) → (x - 1, y + 6)
A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).
B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)
C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)
Then the translated triangle is reflected across the Y axis.
When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.
A'(1, 4) becomes A''(-1, 4)
B'(4, 3) becomes B''(-4, 3)
C'(1, 2) becomes C''(-1, 2)
Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).
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Molly is studying two number patterns. Pattern A starts at 0 and has the rule "add 3." Pattern B starts at 0 and has the rule "add 6." What is the relationship between corresponding terms in the two patterns?
The terms in Pattern A are 3 times the corresponding terms in Pattern B.
The terms in Pattern A are 2 times the corresponding terms in Pattern B.
The terms in Pattern A are one half the corresponding terms in Pattern B.
The terms in Pattern A are one third the corresponding terms in Pattern B.
Answers
The relation between the Pattern A is the half of the Pattern B is given below. Then the correct option is C.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Molly is studying two number patterns.
Pattern A starts at 0 and has the rule “add 3”.
Pattern B starts at 0 and has the rule “add 6”.
The relation between the Pattern A and Pattern B is given below.
Pattern A = 1/2 x Pattern B
Then the correct option is C.
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I need to factorize this equation:
x³ + 4x² + x + 4
Answers
Answer:
Step-by-step explanation:
(X+4) (x^2 +1)
Are these correct?
Histograms/Leaf & Stem plot
Answers
Answer:
yes that's correct :)
Step-by-step explanation:
Find X
Please help me answer this question and explain to me how you got that answer.Thank you.
Answers
Based on the two-tangent theorem, the value of x is calculated in the circle as: x = 2.
How to Find x Using the Two-Tangent Theorem?Based on the two-tangent theorem, if two tangents are drawn from a circle to meet each other at any point outside the circle, then the lengths of the tangents are congruent to each other, that is, they are equal.
Therefore, we would create the following equation based on the two-tangent theorem:
20x + 6 = 10x + 26
Combine like terms:
20x - 10x = -6 + 26
10x = 20
Divide both sides by 10:
10x/10 = 20/10
x = 2
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I really need help..im confused
Answers
The coefficient of determination, also known as R-squared, represents the proportion of the dependent variable's variance that can be explained by the independent variable(s) in a regression model. A higher R-squared indicates a better fit of the model to the data and suggests that a greater proportion of the variation in the dependent variable (lobster length in this case) can be attributed to the independent variable (age).
In this scenario, the linear model has a coefficient of determination of 0.8724503, indicating that approximately 87% of the variation in lobster length can be explained by age. This suggests a strong relationship between age and length in a linear fashion.
Conversely, the exponential model has a lower coefficient of determination of 0.6730372, indicating that only about 67% of the variation in lobster length is associated with age. While this is still a moderate level of association, the linear model provides a better fit to the data and explains a higher proportion of the variation in length.
Therefore, based on the coefficient of determination, the linear model would be the better choice for projecting the length of a lobster.
67% of all americans are home owners. round your answers to four decimal places. if 37 americans are randomly selected, find the probability that
Answers
Answer: Exactly 26 of them are are home owners
Step-by-step explanation:
A shoe store is having an After Holiday sale and everything must go! If all the shoes are marked 60% off, how much do you pay for 2 pairs of shoes that cost $45 and $75?
Answers
Answer:
$48
Step-by-step explanation:
Find 1% of each pair of shoe first.
1 pair of shoe which cost $45:
100% = 45
1% = 45 ÷ 100 = 0.45
Other pair of shoe which cost $75:
100% = 75
1% = 75 ÷ 100 = 0.75
Now find 60% of each pair, the sale percentage.
1 pair of shoe which cost $45:
60% = 0.45 x 60 = $27
Other pair of shoe which cost $75:
60% = 0.75 x 60 = $45
Now, do full price - 60% of it.
$45 - $27 = $18
$75 - $45 = $30
Now add them up.
$18 + $30 = $48
(Final answer)