Rafael finished the Boston Marathon ( 26.2 miles) in 4.75 hours. At this pace, how long would it take him to run a 50 mile marathon in Washington D.C?
Answers
The time taken by the runner is equal to 9.064 hours.
How to determine the time taken by a runner
In this problem we find the case of runner taking a time (t), in hours, to run a certain distance (d), in miles, at constant speed (v), in miles per hour. The kinematic equation is now introduced:
v = d / t
Now we proceed to determine the missing time:
(26.2 mi) / (4.75 hours) = (50 mi) / t
t = 9.064 h
The runner takes a time of 9.064 hours to run a distance of 50 miles.
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Related Questions
what is this expression simplified
Answers
Therefore , the solution of the given problem of expression comes out to be as a result, we can minimize the radical statement by doing the actions listed below.
Expression: What is it?the value of an object variable is represented by collections of numbers, signs, and procedures (like + and).Examples: The equation is 5+7. 3 x/2 is an alternative formula. An expression lacks the equals symbol.
Here,
To simplify a radical expression, use the Product Property.
1) Determine the radical's largest factor, which is also the index's precise power. Use that factor to rewrite the radicand as the intersection of two factors.
2) Apply the product rule to the radicals to rewrite them as the outcomes of two additional radicals.
3. Decompose the root of the ideal power.
Therefore, by taking the methods outlined above, we may simplify the radical expression.
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Ari and his 3 brothers want to take a school trip to Washington D.C. They have $320 saved. each of them will save $18 a week until they have at least $647 to pay for the trip. how much money will they save after 4 weeks?
Answers
Answer:
536 if adding the 320
Step-by-step explanation:
(3x 18) 4 +320= 536
(3x18)4 = 216
Answer:
$608
Step-by-step explanation:
Well first you have to see that there is 4 people going ari and his 3 brothers. Then I multiplied 4 people times 18 dollars a week. I got 72. After that I multiplied 72 dollars by 4 because of the 4 weeks they will be collecting money and I got 288. Lastly I added the 288$ to the 320 dollars they already saved and in total I got $608.
$608
HOPE THIS HELPS!!!
Selected financial data for Amberjack Corporation follows.
Answers
We provide recruitment solutions for your Future Talent and Volume Hiring needs. Platform. Services.
Define Decimal place?
A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32 etc. In the figure given above, the decimal point separates the whole number 42 from the fractional part . In words, it is written as Forty Two Point Eight Five.One decimal place to the left of the decimal point is the ones place. One decimal place to the right of the decimal place is the tenths place. Keep your eye on the 9 to see where the decimal places fall.Rounding a decimal number to two decimal places is the same as rounding it to the hundredths place, which is the second place to the right of the decimal point. For example, 2.83620364 can be round to two decimal places as 2.84, and 0.7035 can be round to two decimal places as 0.70.To learn more about decimal place refers to:
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The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Answers
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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please help me i really need help please help me
Answers
Answer:
The total surface is 48 ft
Step-by-step explanation:
Cafeteria A has 7 packs of granola bars and 12 loose granola bars. Cafeteria B has 3 packs of granola bars and 84 loose granola bars. If the cafeterias have
the same number of granola bars, how many are in each package?
Answers
Each package has 18 granola bars.
Step-by-step explanation:This problem can be solved through a system of linear equations.
1. Form the equations.Let "x" be the total number of granola bars that each pack of granola has. Let "y" be the total amount of granola bars that each cafeteria has.
For cafeteria A: \(7x+12=y\)
For cafeteria B: \(3x+84=y\)
2. Equal the equations.
Since both equations are solved for y, we may take the argument at the left of the equal sign from both equations and equal them.
\(7x+12=3x+84\).
3. Solve for x.\(7x+12=3x+84\)
\(7x-3x=84-12\) --> Substract 3x and 12 from both sides.
\(4x=72\) --> Simplify by solving the substraction.
\(\frac{4x}{4} =\frac{72}{4}\)--> Divide both sides by 4.
\(x= 18\)
4. Substitute the vallue of x by x on any of the equations.\(y=7(18)+12\\ \\y=138.\)
5. Interpret the results.If a system of linear equations was created, where 2 equations that gave the number of granola bars that each cafeteria has, then the x value obtained when the system was solved, indicates the amount of granola bars that each cafeteria has in each package. Each package has 18 granola bars.
differentiate t^4 In(8cost)
Answers
⇒It is way more appropriate if I use the product rule. That states that:
⇒f(x)g(x)=f'(x)g(x)+f(x)g'(x)
\(t^{4} In(8cos(t))\\=4t^{3}In(8cos(t))+t^{4} \frac{1}{8cos(t)} *(0cos(t)+8*(-sin(t))*1)\\=4t^{3}In(8cos(t))+\frac{t^{4}-8sin(t)}{8cos(t)}\)
Note:
Given F(x)=In(x)
⇒\(F'(x)=\frac{1}{x}\)
Goodluck
Answer:
t^3 (4 ln(cos8t) - t tant)
Step-by-step explanation:
Using the Product Rule:
dy/dt = t^4 * d(ln(8cost) / dt + ln(8cost) * d(t^4)/dt
= t^4 * 1/ (8cost) * (-8sint) + 4t^3 ln(8cost)
= -8t^4 sint / 8 cost + 4t^3 ln(8cost)
= -t^4 tan t + 4t^3 ln(8cost)
= t^3 (4 ln(cos8t) - t tant)
342000000 in scientific notation
Answers
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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OMG PLS— THIS IS DUE AT 8PM—
Answers
Answer:
so good
Step-by-step explanation:
so good
The data below are the number of absences and the final grades of 9 randomly selected students
from a statistics class.
Number of absences, x
Final grade, y
0 3
98 86
Use this data to fill in the blanks and answer the following:
0.991
6 4 9 2 15
80 82 71 92 55
a) Find the correlation coefficient, rounded to three decimal places.
-2.755
8 5
76 82
b) Find the slope of the regression line, rounded to three decimal places..
c) Calculate the standard error for the model, rounded to three decimal places:
d) Is there a significant correlation between number of absences and exam score?
Answer "Yes" or "No"
e) What is the expected exam score for a student who has 7 absences?
Round to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
it’s 51
a) The correlation coefficient between the number of absences and final grade is a strong negative -0.991. This means that there's a high likelihood that the number of absences is affecting the final grade, but not in a good way.
b) The slope of the regression line, which helps us understand the relationship between absences and final grade, is -0.624. This indicates that on average, a student's final grade is expected to decrease by 0.624 points for every additional absence they have.
c) The standard error for the model, which measures the difference between the actual exam scores and the predicted scores, is 2.455. This is a measure of the model's accuracy, and the lower the standard error, the more accurate the model is.
d) Yes, there is a significant correlation between the number of absences and exam score. The negative correlation coefficient tells us that the more absences a student has, the lower their exam score is likely to be.
e) Based on the regression line, we can estimate that a student with 7 absences is expected to receive an exam score of 83 (rounded to the nearest whole number). However, it's important to note that this is just an estimate, and other factors such as the student's study habits, test-taking skills, and prior knowledge of the subject could also influence their final grade.
HELP ME PLEASE
THIS IS AN Emergency
Answers
The correct graph of the inequality -0.4x - 2 < - 1.2 is option 2.
What is an inequality?Equation containing a relational operator and a linear expression is known as a linear inequality. In a coordinate plane or space, regions that satisfy a linear inequality are defined. A linear inequality defines a half-plane in two dimensions, which, depending on the inequality, can be either above or below a line. A linear inequality defines a half-space in three dimensions, which, depending on the inequality, is either above or below a plane. The goal of optimization problems is to determine the maximum or minimum value of a linear function under a set of constraints, which are typically represented by linear inequalities.
The given inequality is -0.4x - 2 < - 1.2.
-0.4x - 2 < - 1.2
Adding 2 on both sides of the equation we have:
-0.4x < -1.2 + 2
-0.4x < 0.8
-x < 2
x > -2
Hence, the correct graph of the inequality is option 2.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
\(BC=5.1\)
\(B=23^{\circ}\)
\(C=116^{\circ}\)
Step-by-step explanation:
The diagram shows triangle ABC, with two side measures and the included angle.
To find the measure of the third side, we can use the Law of Cosines.
\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)
In this case, A is the angle, and BC is the side opposite angle A, so:
\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)
Substitute the given side lengths and angle in the formula, and solve for BC:
\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)
\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)
\(BC^2=49+9-42\cos 41^{\circ}\)
\(BC^2=58-42\cos 41^{\circ}\)
\(BC=\sqrt{58-42\cos 41^{\circ}}\)
\(BC=5.12856682...\)
\(BC=5.1\; \sf (nearest\;tenth)\)
Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:
\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)
Substitute the values of the sides and angle A into the formula and solve for the remaining angles.
\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)
Therefore:
\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)
\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)
\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)
\(B=22.5672442...^{\circ}\)
\(B=23^{\circ}\)
From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):
\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)
\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)
\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)
\(180^{\circ}-C=63.5672442...^{\circ}\)
\(C=180^{\circ}-63.5672442...^{\circ}\)
\(C=116.432755...^{\circ}\)
\(C=116^{\circ}\)
\(\hrulefill\)
Additional notes:
I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.
The data set below shows the weights of some puppies, in pounds, at a kennel:
10, 11, 12, 12, 13, 13, 14, 15, 15
Which histogram represents the data set?
Answers
Answer:
The second histogram. and this is because of the arrangement of data which is the puppies
Answer:
I think its A)
Step-by-step explanation:
When asked to factor the x^2 - 144, a student gives the answer (x - 12)(x - 12). What is the wrong with this answer? A. -1 is also a factor B. One of the minus signs should be a plus sign C. Both minus signs should be plus signs D. There is nothing wrong with the answer
Answers
Answer:
The answer is option B.
One of the minus signs should be a plus sign
Since x² - 144 is a difference of two squares it's written as
( x - 12)( x + 12) and not ( x - 12)(x - 12)
Hope this helps you
Answer:
B. One of the minus signs should be a plus sign
Step-by-step explanation:
How many steps are in the business operating cycle?
A.Eighteen
B.Twelve
C.Nine
D.Five
Answers
I think its C:nine
Step-by-step explanation:
Please help me with this ASAP!
Answers
The length of the side AB in triangle ΔABC is 12 centimeters
What is the length of a line or segment?The length of a line or segment is the distance between the endpoints.
The location at which the perpendicular bisector of segment \(\overline{AB}\) in ΔABC intersects the side \(\overline{BC}\) = Point D
The perimeter of ΔABC = 12 + The perimeter of ΔACD
Please find attached, the possible drawing of the figure in the question;
ΔADE is congruent to ΔBDE by Side-Angle-Side congruency postulate
\(\overline{AD}\) is congruent to \(\overline{DB}\) by Corresponding Parts of Congruent Triangles are Congruent.
The perimeter of ΔABC = AB + BC + AC
Perimeter of triangle ΔACD = AC + CD + AD
BC = CD + DB
The perimeter of ΔABC = AB + CD + DB + AC = 12 + AC + CD + AC
The substitution and subtraction property of equality indicates;
AB + CD + DB = 12 + CD + AD = 12 + CD + DB
AB = 12
Therefore, AB = 12
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Given that PQRS≅WXYZ, find the corresponding parts.
Answers
Answer:
wz is the corresponding part
Step-by-step explanation:
The corresponding parts between PQRS and WXYZ are, PQ corresponds to WX, QR corresponds to XY, RS corresponds to YZ, SP correspond, ds to ZW.
If PQRS is congruent (≅) to WXYZ, it means that the two figures are identical in shape and size. Each letter represents a corresponding part between the two congruent figures.
To find the corresponding parts, we can match the corresponding vertices of the polygons. Let's match the vertices of the polygons:
P corresponds to W.
Q corresponds to X.
R corresponds to Y.
S corresponds to Z.
Therefore, the corresponding parts between PQRS and WXYZ are:
PQ corresponds to WX.
QR corresponds to XY.
RS corresponds to YZ.
SP corresponds to ZW.
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Janet reads 1/8 of her book on Monday.She reads another 2/8 of the book on Tuesday. How much of the book remain unread?
Answers
1/3 (6x-5) -x = 1/3 - 2(x+1)
Answers
Answer:
0.
Step-by-step explanation:
I am (not 100%) but quite sure that X = 0.
hope that helps !
:)
If the diameter of the circle is 6 cm, find its circumference. [Use 3.14 for π
Answers
The circumference of the circle with a diameter of 6 cm will be 18.84 cm.
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let d be the diameter of the circle. The circumference of the circle will be given as,
C = πd units
The diameter of the circle is 6 cm. Then the circumference is given as,
C = π x 6
C = 3.14 x 6
C = 18.84 cm
The circumference of the circle with a diameter of 6 cm will be 18.84 cm.
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Where do i graph x and y?
Answers
The graph of the polynomial equation is solved and plotted
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
y = x² - 3
On simplifying , we get
Now , the values of x ranges from -3 ≤ x ≤ 3
So , the inequality is -3 ≤ x ≤ 3
Hence , the graph of the equation is a parabola
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HELP PLEASE whats the number for this answer?
ASAP
Answers
Answer:
68°
Step-by-step explanation:
Total angle in a quadrant = 90°
x + 22° = 90°
x = 90 - 22
x = 68°
HELP ASAP!!!!
What is the X intercept of the graph that is shown below?(-2, 0)
(-1, 2)
(0.4)
(4.0)
Answers
Answer:
The x-intercept of the graph is (-2,0)
OAmalOHopeO
Quick i need an answer, not that hard, will give brainliest. Please answer truthfuly, or i will report.
Answers
x/(-1.5)=21
The solution us
x=-31.5
25
Find the inequality represented by the graph.
Answers
Answer:
y > 4x - 2Step-by-step explanation:
First, let's find the equation of the line.
Use points (0, -2) and (1, 2) on the graph.
The y-intercept is (0, -2), find the slope:
m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(1 - 0) = 4/1 = 4The line is:
y = 4x - 2Now, we see the line is dotted and the space to the left side is shaded.
Dotted line means the inequality doesn't include the points on the line, therefore the sign would be > or <.
Since the left side of the line includes greater values of the function, it should have > sign.
So the inequality is:
y > 4x - 2What were the rental rates?
Answers
answer/explanation:
d = daily rental chargem = the charge per mileJon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 300 miles and was charged $285.6d + 300m = 285His friend Amanda later rented the same car for 7 days and drove 260 miles and was charged $310.7d + 260m = 310by solving the system of equations6d + 300m = 2857d + 260m = 310we findd = $35m = $0.25the daily rental charge is $35.the company charge per mile is $0.25.hope this helps
find the value of x in the figure shown.
(Hint: the sum of angle measures in any triangle is 180
2x-10
(4x-80)
4x-10
Answers
Answer:
28
Step-by-step explanation:
2x +4x +4x-10 -80-10
10x-100=180
10x=180+100
10x=280
10x/10=280/10
x=28
I'm supposed to solve for PQ. it's pythagorean theorem.
Answers
Answer:
29 i think
Step-by-step explanation:
pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29
What is the volume of a cube with
1/3 inch sides?
Answers
Answer:
1/27 in^3.
Step-by-step explanation:
1/3 * 1/3 * 1/3