Kelvin leaves home and walks 5 blocks east and 10 blocks north to get to the ball park.
How far is the ball park from Kelvin’s home if he were to take a direct path? If necessary, round
to the nearest tenth.
Answers
Answer:
5 blocks
Step-by-step explanation:
10 blocks north - 5 blocks east = 5 blocks north
Related Questions
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Which is more, 1 tablespoon or 2 teaspoons?
Answers
Answer: 1 tablespoon
Step-by-step explanation:
I am trying to solve for x and y. I’m just not clear on how to do this.
Answers
Hello!
Let's write this system below:
\(\begin{cases}x-3y=-7\text{ eq i)} \\ 3x+y=-1\text{ eq ii)}\end{cases}\)Notice that I divided it into two equations, i) and ii).
The first step: let's isolate one of the variables.I'll isolate the variable X in equation i), look:
\(\begin{gathered} x-3y=-7 \\ x=-7+3y \end{gathered}\)From now on, we will use this value when referring to X.
Second step: in the other equation, we will replace the variable with the obtained value.So, let's replace where's X in equation ii) by (-7 +3y):
\(\begin{gathered} 3x+y=-1 \\ 3\cdot(-7+3y)+y=-1 \\ -21+9y+y=-1 \\ -21+10y=-1 \\ 10y=-1+21 \\ 10y=20 \\ y=\frac{20}{10} \\ \\ y=2 \end{gathered}\)
At this moment we know the value of the variable Y as 2. So, we can choose any of the equations and replace this value.
Let's replace Y in the first equation now:
\(\begin{gathered} x-3y=-7 \\ x-3\cdot(2)=-7 \\ x-6=-7 \\ x=-7+6 \\ x=-1 \end{gathered}\)So, the solution of this system is x = -1 and y = 2.
Answer:
(-1, 2)
Step-by-step explanation:
x-3y = -7
3x+y = -1 <===== multiply this equation by 3 to get
9x + 3y = -3 <=====add this to first equation ( this will eliminate 'x')
10x = -10 so x = -1
use this value of 'x 'in any of the equations to compute 'y'
-1 -3y = -7
-3y = -6
y = 2
A particular strand of DNA was classified into one of three genotypes: E4*/E4*, E4*/E4", and Upper E 4/E4". In addition to a sample of 2,096 young adults (20-24 years), two other age groups were studied: a sample of 2,180 middle-aged adults (40-44 years) and a sample of 2,280 elderly adults (60-64 years). The accompanying table gives a breakdown of the number of adults with the three genotypes in each age category for the total sample of 6,556 adults. Researchers concluded that "there were no significant genotype differences across the three age groups" using a=0.05.
Are they correct?
Answers
The researchers conclusion that there were no significant genotype differences across the three age groups is correct.
To determine whether the researchers' conclusion is correct, we can perform a chi-square test of independence.
The null hypothesis for this test is that the genotype distribution is same across all three age groups, while the alternative hypothesis is that genotype distribution differs across at least one age group.
The results of this analysis is:
Genotype Age Group Observed Expected (O - E)² / E
E4*/E4* 20-24 674 676.15 0.051
40-44 712 709.30 0.039
60-64 719 719.55 0.001
E4*/E4" 20-24 836 833.35 0.011
40-44 821 823.41 0.007
60-64 835 833.24 0.006
Upper E4/E4" 20-24 586 586.50 0.000
40-44 647 646.28 0.001
60-64 726 726.21 0.000
The chi-square test statistic for this analysis is 0.107 with 4 degrees of freedom. Using a significance level of 0.05, the critical value for this test is 9.488.
Since the calculated test statistic (0.107) is less than the critical value (9.488), we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the genotype distribution differs across at least one age group.
Therefore, the researchers' conclusion that "there were no significant genotype differences across the three age groups" is correct based on the given data and analysis.
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Subtract. Express your answer in lowest form. 8 1/4 minus 5 2/3 a. 3 5/12 b. 3 7/12 c. 2 5/12 d. 2 7/12
Answers
Answer:
D. 2 7/12
Step-by-step explanation:
8 1/4 - 5 2/3
Turn to improper fractions.
33/4 - 17/3
Make the denominators equal.
99/12 - 68/12
Subtract the fractions since denominators are equal.
31/12
= 2 7/12
Answer:
\( 2 \frac{7}{12} \)
Answer D is correct.
Step-by-step explanation:
\(8 \frac{1}{4} - 5 \frac{2}{3} \\ \frac{33}{4} - \frac{17}{3} \\ \frac{99 - 68}{12} \\ \frac{31}{12} = 2 \frac{7}{12} \)
Each ticket to the game costs $3.25. Someone buys 20 tickets. How much money did they spend on the tickets?
Answers
Answer:
$65
Step-by-step explanation:
20x3.25=65
Erin, Elizabeth, and Anna are playing a game. Their probabilities of winning the game are as follows:
\text{P(Erin wins}) = 0.3P(Erin wins)=0.3start text, P, left parenthesis, E, r, i, n, space, w, i, n, s, end text, right parenthesis, equals, 0, point, 3
\text{P(Anna wins}) = \dfrac12P(Anna wins)=
2
1
start text, P, left parenthesis, A, n, n, a, space, w, i, n, s, end text, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction
\text{P(Elizabeth wins}) = 20\%P(Elizabeth wins)=20%start text, P, left parenthesis, E, l, i, z, a, b, e, t, h, space, w, i, n, s, end text, right parenthesis, equals, 20, percent
Put the following events in order from least to most likely.
Answers
Answer:
Elizabeth wins, Erin wins, Anna wins.
How does the mean of the totals compare to the median? The median is $1.60 greater than the mean. The mean is $1.60 greater than the median. The median is $2.82 greater than the mean. The mean is $2.82 greater than the median.
Answers
Answer:
B. The mean is $1.60 greater than the median
Step-by-step explanation:
The question lacks the required table. Find the table in the attachment below.
The mean is the ratio of the sum of the total fund raisers to the number of years.
\(\overline x = \sum Xi/N\)
Xi are the individual funds
N is the number of years = 5
Mean = 896+925+880+963+914/5
Mean = $915.6
Median is the value at the middle after rearrangement. Arrangement can either be ascending or descending order.
On rearrangement, 896, 880, 914, 925, 963
Median = $914
Taking the difference of mean and median value;
Difference = $915.6 - $914 = $1.60
This shows that the mean is $1.60 greater than the median
Answer:
b
Step-by-step explanation:
is correct
Help please Quick Fix Inc. repairs bikes. The company's revenue is modeled by the function R(h)-220h-160 for every h hours spent
repairing bikes. The company's overhead cost is modeled by the function C(h)-20h²-400
After how many hours does the company break even?
Enter your answer in the box
Answers
The number of hours that it takes for the company to break even is given as follows:
0 hours.
How to obtain the break even point?The profit function is obtained subtracting the revenue function by the cost function, hence:
P(h) = R(h) - C(h).
P(h) = 220h - 160 - 20h² + 400.
P(h) = -20h² + 220h + 240.
The break even point is the value of h for which P(h) = 0, hence:
-20h² + 220h + 240 = 0.
The coefficients of the quadratic function is given as follows:
a = -20, b = 220, c = 240.
Using a quadratic equation calculator, the smallest root is given as follows:
h = -1.
As the number of hours cannot be negative, we consider that the company breaks even initially, hence the number of hours is of zero.
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Karen lee, a 63-year old woman, has osteoarthritis. what nonpharmacologic treatment should be considered? select the best answer.
Answers
For nonpharmacologic treatment, tropical non-steroidal anti-inflammatory drugs (NSAIDs) should be considered.
What is Non-pharmacological Treatment?Non-pharmacological pain therapy refers to interventions that do not involve the use of medications to treat pain. The goals of non-pharmacological interventions are to decrease fear, distress, and anxiety, and reduce pain and provide patients with a sense of control.Non-pharmacological interventions manage pain, reduce stress, encourage positive changes in mood, reduce depression, and increase awareness of self and environment. Some of the different types of non-pharmacological interventions are support groups, family support, and music therapy.Therefore option (A) Topical non-steroidal anti-inflammatory drugs (NSAIDs) is the correct answer.
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The complete question is:
Karen Lee, a 63-year-old woman, has osteoarthritis. What nonpharmacologic treatment should be considered? Select the best answer.
A) Topical non-steroidal anti-inflammatory drugs (NSAIDs)
B) Exercise
C) Intra-articular glucocorticoid injections
D) Acetaminophen
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Answers
Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.
Identify the linear equation?Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12
We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.
Take the provided linear equation system into consideration.
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12
The slopes of the provided equations are also same.
Difference with regard to x for equation (1) yields,
additional to equation (2),
With regard to x, we can differentiate to get,
The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.
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numerade use cylindrical coordinates. evaluate e x2 y2 dv, where e is the region that lies inside the cylinder x2 y2
Answers
The value of the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates is h (e²a - 1) π.
To evaluate the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates, to express the integral in terms of cylindrical coordinates and determine the appropriate limits of integration.
In cylindrical coordinates, the variables are represented as (ρ, θ, z), where ρ is the radial distance, θ is the angle in the xy-plane, and z is the vertical coordinate.
The region e can be described as the volume inside the cylinder x² + y² ≤ a², where a is the radius of the cylinder.
In cylindrical coordinates, the equation of the cylinder x² + y²= a² becomes ρ² = a².
Therefore, the limits of integration for ρ are 0 to a, the limits for θ are 0 to 2π (covering a complete revolution), and the limits for z depend on the height of the cylinder.
If the height of the cylinder is h, then the limits for z would be -h/2 to h/2.
express the integral in cylindrical coordinates:
∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) ∫(-h/2 to h/2) e²(ρ²) ρ dz dρ dθ the integrand e²(ρ²) depend on the angle θ, factored out of the θ integration.
∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ ∫(-h/2 to h/2) dz dρ dθ
The innermost integration with respect to z simply evaluates to h:
∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ h dρ dθ
The integration with respect to ρ can be done by substitution. Let u = ρ², then du = 2ρ dρ:
∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²u/2 h (1/2) du dθ
= (h/2) ∫(0 to 2π) ∫(0 to a) e²u du dθ
= (h/2) ∫(0 to 2π) [e²u] (0 to a) dθ
= (h/2) ∫(0 to 2π) (e²a - 1) dθ
= (h/2) (e²a - 1) ∫(0 to 2π) dθ
= (h/2) (e²a - 1) [θ] (0 to 2π)
= h (e²a - 1) π
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From an elevation of 3.5m below the surface of water, a northern bottlenose whale dives at a rate of 1.8 meters per section (m/s). Write a rule that gives the whale's depth d as a function of time in minutes. What is the whale's depth after 4 minutes?
Answers
Answer:
d=3.5+1.8t
Step-by-step explanation:
The equation shows the relationship between x and y:
y = −9x + 5
What is the slope of the equation?
−14
−9
−4
5
Answers
Answer:
-9
Step-by-step explanation:
for linear equations, the show off the line is the coefficient of x.
in this case, the slope would be -9
I need help with understanding this.
Answers
Answer:
x = 6.
QU = 9.5.
Step-by-step explanation:
RVZW is a kite
as ZU = 12 and ZV = 12 and V<RVZ and < RUZ are both right angles.
Therefore RU = RV.
As the radii ZW and ZY are at right angles to the chords RS and RQ they cut them in half so RS = RQ so:
3x + 1 = 19
3x = 18
x = 6.
QU = 1/2 * 19
= 9.5
math be like 0-0????
Answers
Answer: A & C
Step-by-step explanation:
HL is Hypotenuse-Leg
A) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH
a leg from ΔABC ≡ a leg from ΔFGH
Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH
B) a leg from ΔABC ≡ a leg from ΔFGH
the other leg from ΔABC ≡ the other leg from ΔFGH
Therefore LL (not HL) Congruency Theorem can be used.
C) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH
at least one leg from ΔABC ≡ at least one leg from ΔFGH
Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH
D) an angle from ΔABC ≡ an angle from ΔFGH
the other angle from ΔABC ≡ the other angle from ΔFGH
AA cannot be used for congruence.
the table shows the number of 7th- and 8th-grade students who belong to an after-school club
Answers
Answer: whats the question though
Step-by-step explanation:
FIND ANDGLE RPQ
THE NUMBER ON TOP IS 98 and the bottom is 110
Answers
Answer:
152
Step-by-step explanation:
this is because there is 360 degrees in a circle and if you subtract 98 and 110 from 360 you get 152.
simple random sampling is ______.
Answers
Simple random sampling is a method of selecting a sample from a larger population in a way that gives each member of the population an equal chance of being selected. This method is considered the most basic and straightforward way of selecting a sample.
The first step in simple random sampling is to list all the members of the population in a list or a table. Once this is done, a random number generator, such as a random number table or a computer program, is used to select a certain number of individuals from the list. The number of individuals selected is determined by the desired sample size.
It is important to note that in simple random sampling, each member of the population has an equal chance of being selected, and that each possible sample of a given size has an equal chance of being chosen. This means that if the same sampling process is repeated multiple times, different samples will be obtained.
Simple random sampling is considered a fair and unbiased method of sampling as it eliminates any personal bias or systematic error in the selection of the sample. It also allows for the estimation of population characteristics, such as mean and standard deviation, with a known level of precision.
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Jennifer added the product 125 and 58 to the product of 357 and 42 what is the sum?
Answers
Answer:
22244
Step-by-step explanation:
(125*58)+(357*42)=22244
describe the difference between the standard deviation of the sampling distribution (standard error) and the standard deviation of each sample distribution as they apply to uncertainty.
Answers
The standard deviation of the sampling distribution, also known as the standard error, measures the amount of variability or uncertainty in the estimates of a population parameter (such as the mean) based on a sample. It is calculated as the standard deviation of the sample means (or other statistics) over all possible samples of the same size from the population.
The standard deviation of each sample distribution, on the other hand, measures the amount of variability or spread within the individual sample itself. It is calculated as the standard deviation of the individual observations within the sample.
Standard Deviation ComparisonIn general, the standard deviation of the sampling distribution decreases as the sample size increases, and it is used to estimate the uncertainty of the sample statistics. The standard deviation of the each sample distribution does not change with the sample size.
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What is the percent decrease when the balance in a bank account goes from $300 to $60?
O The percent decrease is 20%
O The percent decrease is 25%6.
O The percent decrease is 80%.
O The percent decrease is 879.
Answers
I will award brainliest to whoever correctly answers this!
Answers
Answer:
To find GCF we need to find what these expressions have in common
30x²=5*3*2x²
45x⁵=5*3*3x²x³
Now we can see, that GCF=5*3*x² = 15x²
Answer :
15x²
Step-by-step explanation:
\(30x^{2}=2\times \left( 15x^{2}\right) \\45x^{5}=3x^{3}\times \left( 15x^{2}\right)\)
Then the greatest common factor is 15x²
10 to the 3d power + 10 to the 2nd power + 10 to the 1st power
Answers
Answer: 1110
Step-by-step explanation:
Answer:
1,110
Step-by-step explanation:
1. Multiply to the powers(?)
10 x 10 x 10 = 1000
10 x 10 = 100
10 = 10
2. Add
1000 + 100 + 10 = 1110
Hii
No links or I’ll report ya x
Answers
Is A O B is in one line so
2a+62+54-a+5a-20=180
6a=180-62+20-54=84
a=14
angAOC= 2a+62=90
angCOD=54-a=40
angDOB=5a-20=50
SO angAOC is the biggest
x3 = 8 find the value (s) of X
Answers
Answer:
2.6667
Step-by-step explanation:
you divide 8 by 3
Answer: X=2
Step-by-step explanation: its pretty hard to explain i dont think i can explain
Rain began falling at 2:18. It rained for 1 hour and 36 minutes.
What time did the rain stop?
Answers
Answer:
3:54
Step-by-step explanation:
1 hour and 36 minutes after 2:18 is 3:54
Choose the system of equations which matches the following graph.
A. 3x-6y=12
9x-18y=36
B. 3x+6y=12
9x+18y=36
Answers
The system of equations that matches the given graph is:
A. 3x - 6y = 12
9x - 18y = 36
To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.
Looking at the options provided:
A. 3x - 6y = 12
9x - 18y = 36
B. 3x + 6y = 12
9x + 18y = 36
Let's analyze the equations in each option:
For option A:
The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.
The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.
In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.
For option B:
The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.
The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.
In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.
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Find the value of x in the picture below.
Answers
what are the slope and the y-intercept of the linear function that is represented by the table?
the slope is -2/5, and the y-intercept is -1/3.
the slope is -1/3, and the y-intercept is -2/5.
the slope is 1/3, and the y-intercept is -2/5.
the slope is 2/5, and the y-intercept is -1/3.
Answers
Answer:
la respuesta correcta es la letra B es decir la pendiente es -1/3 y la intersección con el eje y es -2/5 segun mis calculos
Step-by-step explanation:
AM = 3x, MB - 22 and AB = 43Prove: x=7StatementsReasons1. M is between A and B2. AM + MB - AB3. 3x + 22 - 434. 3x = 215. X = 7:: Substitution Property of Equality:: Division Property of EqualitySubtraction Property of EqualityGiven:: Segment Addition Postulate
Answers
Fill the blanks this way
1. Given
2. Segment addition postulate
3. Substitution property of equality
4. Substraction property of equality
5. Division property of equality