jamie is pedaling due south a 8 mi/hr. his sister, martha, is pedaling due west at 5 mi/hr. after 2 hours, how fast are the two cyclists moving apart?
Answers
Both cyclist are moving apart at a speed of 9.434 mi/hr.
What is velocity?Velocity is the direction at which an item is moving and serves as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a basic idea. A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system).
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Related Questions
You are solving a measurement problem where the numbers 4.0286 × 109 and 3.1 × 10−4 are divided. How many significant digits should the quotient have?
Answers
The quotient will have 2 significant figures.
The digits in the number , that contribute to the degree of accuracy can be defined as Significant Figures.
For Example ; 2.096 has 4 significant Figures
0.069 has 2 significant figures.
Rule Of Significant for Multiplication & Division :
Rule says in multiplication or division , the final result should retain as many significant figures as there are in the original number with the least significant figures.
In the given question
4.0286 × 10⁹ = 5 significant figures
3.1 × 10⁻⁴ = 2 significant figures
The quotient on dividing the numbers is 1.2995 x 10¹³ will have 2 significant figures as the least significant from 5 and 2 is 2.
Therefore , the quotient will have 2 significant figures.
The given question is incomplete , the complete question is
You are solving a measurement problem where the numbers 4.0286×10⁹ and 3.1×10⁻⁴ are divided. How many significant digits should the quotient have?
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what is the monthly difference in median income for a male versus a female when both have a bachelor's degree
Answers
Answer: $1,372
Step-by-step explanation:
If using the Labor Statistics Document
A men’s median weekly earning with Bachelor’s degree only is $1,384 * 4 weeks = $5,536
A women’s medium weekly earning with a Bachelor’s degree only is $1,041 * 4 weeks = $4,164
Subtract $5,536 - $4,164 = $1,372
The full sentences are:
The typical monthly salary for women with bachelor's degrees is $3,020.
The typical annual salary for a guy with an associate's degree is $36,432.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Every month has four weeks.
The median monthly income is thus:
Earnings = 4 * $755
Earnings = $3020
As a result, the typical monthly salary for women with bachelor's degrees is $3,020.
The median annual income:
A man with an associate's degree makes $759 each week.
A month has four weeks, while a year has twelve months.
Hence, the annual median income is:
Earnings = 4 x 12 x $759
Earnings = $36,432
Thus, the typical annual salary for a guy with an associate's degree is $36,432.
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Complete question:
3. What is your monthly median income if you are a female with a bachelor's degree? _____
4. What is your yearly median income if you are a male with an associates degree? _____
Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?
Group of answer choices
Distribute 2 to (x + 6) and 3 to (x – 4).
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
Combine like terms, 3 and 5, on the right side of the equation.
Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation.
Answers
Answer:
x = 19
Step-by-step explanation:
I think you are on the right track. Below is the way I would approach it:
1. Expland the brackets
2. Collect like terms
3. Make x the subject
Let me know if you want the working out. Hope this helps.
ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. which equation is represented by ms. wilson’s model? n2 3n 40
Answers
n²+13n+40,
This is why;
Observe only the right side. The number is (n+8)(n+5).
Let's elaborate on that using FOIL.
F = When we multiply the first two terms, n and n, we obtain n².
O = outer instructs us to multiply n by 5 to get n*5 or 5n from the outer terms.
I = inner instructs us to multiply the inner expressions 8 by 8 and n by n to obtain 8n.
Since 8 and 5 are multiplied by L, we obtain 8*5 = 40.
Add up the outcomes: n²+5n+8n+40 = n²+13n+40
Observe how the phrase is a little bit simplified by the combination of the like terms (5n and 8n).
This demonstrates how (n+8)(n+5) becomes n²+13n+40, becoming the correct response. For all values of n, none of the other options are valid equations;
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what the answer to
1 4/5 x 5/6
Answers
Answer:
7/3
Step-by-step explanation:
14/5×5/6
=14/6
=7/3
Muse synthetic division to find the quotient and remainder when 3x^4 +19x^3+22x^2-6x+4 is divided by x+2
Answers
Answer: 3x^3 +13x^2 -4x +2 +0/(x+2)
Step-by-step explanation:
-2: 3 19 22 -6 4=
-6 -26 8 -4
3 13 -4 2 0 ==> 3x^3 +13x^2 -4x +2 +0/(x+2)
Quotient: 3x^3 +13x^2 -4x +2
Remainder: 0
Complete the explanation to identify the set of numbers that best describes the situation.
the amount of water in a glass as it evaporates
The amount can be any
number less than 0
, thus it is a
rational
number.
Answers
se polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. find the following sums without using a calculator or a formula
Answers
The sums of series using Polya's four-step problem-solving strategy in (a), (b) and (c) are 79800, 150975, and 1560 respectively.
(a) Let S = 1 + 2 + 3 + … + 398 + 399Write the series in reverse order and then add both series.S = 1 + 2 + 3 + … + 398 + 399S = 399 + 398 + … + 2 + 12S = 400 + 400 + … + 400 + 4002S = 400 x 399S = (400 X 399 ) / 2 = 200x399 = 79800(b) Let S = 1 + 2 + 3 + … + 548 + 549Write the series in reverse order and then add both series.S = 549 + 548 + … + 2 + 12S = 550 + 550 + … + 550 + 5502S = 550 x 549S = (550x549 ) / 2 = 275x549 = 150975(c) Let S = 2 + 4 + 6 + 8 + … + 72 + 74 + 76 + 78Write the series in reverse order and then add both series.S = 2 + 4 + 6 + … + 72 + 74 + 76 + 78S = 78 + 76 + 74 + … + 6 + 4 + 22S = 80 + 80 + … + 80 + 802S = 80 x 39S = (80 X 39 ) / 2 = 40 x 39 = 1560a sequence is, more or less speaking, a description of the operation of adding infinitely many quantities, one after the opposite, to a given starting quantity. The examine of series is a chief part of calculus and its generalization, mathematical evaluation. series are utilized in maximum areas of mathematics, even for reading finite structures (which includes in combinatorics) thru producing features.
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In the figure QRST, point Q has coordinates (2, -3). If you translate the figure 4 units left and 3 units down, what are the coordinates of the translated point Q'?
Answers
Answer:
Q' (- 2, - 6 )
Step-by-step explanation:
a translation of 4 units left is in the x- direction and means subtract 4 from the x- coordinate.
a translation of 3 units down is in the y- direction and means subtract 3 from the y- coordinate.
Q (2, - 3 ) → Q' (2 - 4, - 3 - 3 ) → Q' (- 2, - 6 )
I need help. somebodysolve this. i think the answer is 8
(2x +20)y X=10 y=5
Answers
Answer:
If there is divide sign between (2x+20) and y, then the answer is 8 but if there's multiplication sign between (2x+20) and y, then the answer is 200.
there is a dart that lands uniformly randomly in space on a dartboard. the dartboard is 3 concentric circles with radius 1, 2, and 3
Answers
There are 160 possibilities for area codes
We are required to find all the combinations for different area codes
It is given to us that the conditions for the tree digit area code are:
first digit could be any number from 4 through 8,
the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7
Using the conditions above, the digits which can be first digit of code = 4 through 8 =4,5,6,7,8
the digits which can be second digit of code= 4,5,6,7
the digits which can be third digit of code = 0,1,3,4,5,6,8,9
number of possibilities for first digit= 5
number of possibilities for second digit=4
number of possibilities for third digit= 8
Therefore, total number of possibilities of code = number of possibilities of first digit x number of possibilities of second digit x number of possibilities of third digit = 5 x 4 x 8=160
Therefore, there are 160 possibilities for area codes
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graph: y + 2 = 2 (x + 3)
Answers
can you help me and solve it
Answers
Answer:
I think its $4 I'm not sure tho
Step-by-step explanation:
Answer:
[tex] \large{ \star{ \boxed{ \tt \: answer : \: \$ \: 3.28 }}}[/tex]
Please see the attached picture for full solution!:)
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Help needed with geometry.
Answers
Answer:
d
Step-by-step explanation:
Answer: d
give the inverse, contrapositive, and converse for each of the following state- ments: (a) if she finished her homework, then she went to the party. (b) if he trained for the race, then he finished the race. (c) if the patient took the medicine, then she had side effects. 3
Answers
The inverse of (a) is If she did not go to the party, then she will not finish her homework.
The inverse of (b) is If he did not finish the race, then he will not have trained for the race.
The inverse of (c) is If she has no side effects then the patient will not take the medicine.
The converse of (a) is if she finished her homework, then she went to the party.
The converse of (b) is if he trained for the race, then he finished the race.
The converse of (c) is if the patient took the medicine, then she had side effects.
The contrapositive of (a) is if she did not finish her homework, then she did not go to the party.
The contrapositive of (b) is if he did not train for the race, then he will not finish the race.
The contrapositive of (c) is if the patient did not take the medicine, then she will not have side effects.
What do you mean by Inverse, Contrapositive, and Converse?Converse: By swapping the hypothesis and the conclusion, a statement can be made to mean the converse. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel."
Inverse: Each of the original statements is presupposed to be false in an inverted statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."
Contrapositive: a statement or theorem created by swapping out the hypothesis and conclusion, or the subject and predicate, of a given statement or theorem. The opposite of "if A then B" is "if not-B then not-A."
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Ria has these two cubes.
The side length of the smaller cube is x cm.
The side length of the larger cube is twice the side length of the
smaller cube.
Write an expression for the side length of the larger cube in
terms of x.
Answers
Answer:
2x
Step-by-step explanation:
side length of smaller cube = x
side length of larger cube is two times the side length of smaller cube.
Therefore side length of larger cube = 2x
I need help please help me if u can
Answers
here is the answer
Step-by-step explanation:
it is just changing decimals to normal numbers.
Express 2^40 × 4^30 in the form 2^n
Answers
Answer:
[tex]2^{100}[/tex]
Step-by-step explanation:
Given expression:
[tex]2^{40} \times 4^{30}[/tex]
Rewrite 4 as 2²:
[tex]\implies 2^{40} \times (2^2)^{30}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 2^{40} \times 2^{(2\times30)}[/tex]
[tex]\implies 2^{40} \times 2^{60}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies 2^{(40+60)}[/tex]
[tex]\implies 2^{100}[/tex]
Therefore, n = 100.
*First to answer rightfully will get brainliest. NO LINKS are allowed. Thank you.
Please help with the following question:
You just got back from a trip to
Florida for the school break and
you still have $225 in U.S.
currency. Today, the bank rate is
C$1.04 for US$1. How much in
Canadian funds will you get for
your U.S. currency?
Answers
Terry used a total of 52 inches of ribbon to make 6 decorations. He used the same amount of ribbon for each decoration. How much ribbon did Terry use for each decoration?
Answers
Answer:52 x 6=312
Step-by-step explanation:
Terry used 52 inches of ribbon for the same amount. He's multiplying. Hope this helped.
2. compare the histogram at 5 bins and at 25 bins. what does the narrower bin width reveal that the wider bin width obscures?
Answers
Answer: skewed left
Step-by-step explanation:
a distribution with two peaks: one at $30,000 and the other at $40,000
The Spartan basketball team purchased equipment and uniforms for a total cost of $1,860. The equipment that was purchased cost $300, and the uniforms were $120 each. How many uniforms did the school purchase?
Answers
The number of uniforms the Spartan Basketball team purchased was 13.
How is the number of uniforms determined?The number of uniforms bought by the Spartan Basketball team can be determined using the mathematical operations of subtraction and division.
In the first place, the cost of equipment is subtracted from the total cost. The remainder is divided by the unit cost of uniforms. The quotient is the number of uniforms bought.
Data and Calculations:Total cost incurred = $1,860
Cost of equipment = $300
Remainder cost = $1,560 ($1,860 - $300)
Unit cost per uniform = $120
The number of uniforms bought = 13 ($1,560/$120)
Thus, the number of uniforms the Spartan basketball team purchased was 13.
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proof that the span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.
Answers
The Span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.
Linear Span of vectors can be represented as
let [tex]x_{1} and x_{2}[/tex] be two non collinear vectors its span be written as [tex]x=a_{1} x_{1} +a_{2} x_{2}[/tex] where [tex]a_{1}, a_{2}[/tex] are arbitrary scalars.
Subspace of vectors : a subset A of a vector space V is called a subspace of V if A is itself a vector space under scalar multiplication and addition defined on V.
The Span of two vectors is a vector space containing two vectors. Hence the span is also a vector space . It is sufficient to notice that any two independent vectors from subspace can be the basis.
Zero vector is the linear combination of these basis vector.
hence it is not possible to have a span of two non collinear vectors that does not contain origin .
Therefore, The span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.
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4+801542/85*994567789
Answers
Answer:9,378,727,447,079.929
Step-by-step explanation:
Answer:
9.37414075 13 squared digit I don’t remember what it is called for that number so yea
Step-by-step explanation:
8011542/84 is 94257.43529 (already added 4) and 94257.43529 is about 9.37414075 13 squared digit I don’t remember what it is called for that number but that is the answer
Martin scores 10% of the points in a game if this represents 10 point how many points were scored in total
Answers
10% is 1/10 you can multiply his number by 10 to get answer
Answer:
10 OR 100. Read the explanation for details.
Step-by-step explanation:
If Martin scored 10%, and this represents 10 points, that means that martin scored 10 points. If he is talking about ALL the points in total then there are 100 points because 10% is 1/10, and if each 1/10th is 10 points, if you multiply that by 10 you get
100.
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Answers
Answer:
?
Step-by-step explanation:
Dan earns £9.20 per hour. How much will he earn for 8 hours work?
Answers
Answer:
£73.6
Step-by-step explanation:
Earnings per hour ( means for one hour of work he earns)= £9.20
total no of hours he works for = 8
so,in 8 hours he will earn
9.20× 8=£73.6
1. Write the following sentence using mathematical symbols.
Twice x, plus 10, is the same as - 5.
Answers
The sentence can be represented as 2x+10=-5, with x = -7.5
Given that twice the value of x plus 10 is equals to -5
Mathematical symbols are used to perform various operations. The symbols make it easier to refer Mathematical quantities. It is interesting to note that Mathematics is completely based on numbers and symbols. The math symbols not only refer to different quantities but also represent the relationship between two quantities. All mathematical symbols are mainly used to perform mathematical operations under various concepts.
• Helps in denoting quantities
• Establishes relationships between quantities
• Helps to identify the type of operation
2(x)+10=-5
2(x)=-15
x=-15/2
x=-7.5
Hence, The sentence can be represented as 2x+10=-5, with x = -7.5
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05.05
The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.
Determine P(2 tails).
12.5%
37.5%
50%
75%
Answers
The value of P(2 tails) is 37.5%, the correct option is B.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
The sample space= {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Now,
The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}, where H represents heads and T represents tails.
To determine P(2 tails), we need to count the number of outcomes in which there are 2 tails, and divide that by the total number of outcomes:
Number of outcomes with 2 tails: There are three outcomes with 2 tails: TTH, THT, and HTT.
Total number of outcomes: There are eight outcomes in total.
P(2 tails) = number of outcomes with 2 tails / total number of outcomes = 3/8 = 0.375, which is equivalent to 37.5%.
Therefore, the probability the answer will be 37.5%.
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Complete the equation describing how x and y are related.
X 0,1,2,3,4
y -1,3,7,11,15
y = [? ]x + []
Answers
Answer:
y = 4 x - 1
Step-by-step explanation:
hope this helps you.
.......
Answer:
.
Step-by-step explanation: