Given,
Time taken to cover the last last straight stretch of a race = 4 seconds
He speeds up from 5 m/s to 9 m/s
To find,
The acceleration of the runner.
Solution,
We can simply solve this numerical problem by using the following process.
Here,
Initial velocity (u) = 5 m/s
Final velocity (v) = 9 m/s
Time (t) = 4 seconds
Acceleration (a) = ?
According to the formula of kinematics,
a = (v-u)/t
a = (9-5)/4 [By putting the given values.]
a = 4/4 = 1 m/s²
(We have used SI unit of the acceleration, because all the initial physical quantities are also in SI units.)
Hence, the acceleration is 1 m/s²
Solve for v simplify your answer as much as possible: -2 + 3v = -23
Answer:
-7
Step-by-step explanation:
-2 + 3v = -23 >> -2 + 23 = -3v >> 21 = -3v >> v = -7
Answer:
V=-7
Step-by-step explanation:
To solve this equation, you must first add the -2 to both sides. (This cancels it out since you only want one variable on each side of the equation. It would be the other way around if the variable were positive) Now that you have the equation 3v=-21, you can divide. To get the v by itself, you must divide both sides by 3. This gives you the answer to the equation.
Hope this helps!!
5 divided by 0.1960 long division
Answer:
5 divided by 0.1960 is 0.039
Step-by-step explanation:
0. 0 3 9
5 0. 1 9 6
− 0
0 1
− 0
1 9
− 1 5
4 6
− 4 5
1
Therefore 5 ÷ 0.1960 is 0.039
Draw an area model. Then solve using the standard algorithm. 273 x 346.
Answer:
[tex]273*346=94,458[/tex]
Step-by-step explanation:
x 200 + 70 + 3
300 60,00 21,000 900 = 81,900
+ +
40 8,000 2,800 120 = 10,920
+ +
6 1,200 420 18 = 1,638
94,458
Sally's school is 2.5 km long. How many meters long is Sally's school
Answer: Sally's school is 2,500 meters long. Hope this helps!
Answer:
2500metres
Step-by-step explanation:
we all know that 1km is 1000 metres
so I take 1000metres×2.5km =2500what is the volume of a box with side lengths that are 20inches? use the formula V= s to the third power, where s is the length of one side
Answer:
8000 in^3
Step-by-step explanation:
V = s^3
= 20^3 = 8000 in^3
What is the trigonometric ratio for cos D ?
Answer:
Here,
H=75P=72B=21We know that cosD= b/h
=21/75
=7/25
Please help me with this math problem!! :) Will give brainliest!!
Answer:
Step-by-step explanation:
2. Two angles are called?_ if they are not adjacent and their sides are formed by two intersecting lines.
Answer:
Vertical angles — two non-adjacent angles formed by two intersecting lines.
Step-by-step explanation:
I need help with math???
Answer:
oranges lasts for 9 days
Step-by-step explanation:
To find out the number of days, we have to divide the total oranges by the quatity of oranges used each day.
Number of days = Total oranges ÷ number of oranges used per day
[tex]\sf = 7\dfrac{7}{8} \ \div \dfrac{7}{8}\\\\ = \dfrac{63}{8} \ \div \dfrac{7}{8}\\\\ =\dfrac{63}{8} * \dfrac{8}{7}\\\\ = 9[/tex]
Fraction division:
Keep the first fraction
Change division to multiplication
Flip the second fraction
Answer:
9 days
write 7/8x9, put 1 under 9.
7x9=63
8x1=8
63/8 simplified is 7 7/8
Step-by-step explanation:
Location is known to affect the number, of a particular item, sold by an auto parts facility. Two different locations, A and B, are selected on an experimental basis. Location A was observed for 13 days and location B was observed for 18 days. The number of the particular items sold per day was recorded for each location. On average, location A sold 39 of these items with a sample standard deviation of 8 and location B sold 55 of these items with a sample standard deviation of 2. Select a 90% confidence interval for the difference in the true means of items sold at location A and B
We have two samples, A and B, so we need to construct a 2 Samp T Int using this formula:
[tex]\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]In order to use t*, we need to check conditions for using a t-distribution first.
Random for both samples -- NOT STATED in the problem ∴ proceed with caution!Independence for both samples: 130 < all items sold at Location A; 180 < all items sold at Location B -- we can reasonably assume this is trueNormality: CLT is not met; n < 30 for both locations A and B ∴ proceed with caution!Since 2/3 conditions aren't met, we can still proceed with the problem but keep in mind that the results will not be as accurate until more data is collected or more information is given in the problem.
Solve for t*:
We need the tail area first.
[tex]\displaystyle \frac{1-.9}{2}= .05[/tex]Next we need the degree of freedom.
The degree of freedom can be found by subtracting the degree of freedom for A and B.
The general formula is df = n - 1.
df for A: 13 - 1 = 12df for B: 18 - 1 = 17 df for A - B: |12 - 17| = 5Use a calculator or a t-table to find the corresponding t-score for df = 5 and tail area = .05.
t* = -2.015Now we can use the formula at the very top to construct a confidence interval for two sample means.
[tex]\overline {x}_A=39[/tex] [tex]s_A=8[/tex] [tex]n_A=13[/tex] [tex]\overline {x}_B = 55[/tex] [tex]s_B=2[/tex] [tex]n_B=18[/tex] [tex]t^{*}=-2.015[/tex]Substitute the variables into the formula: [tex]\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex].
[tex]39-55 \ \pm \ -2.015 \big{(}\sqrt{\frac{(8)^2}{13} +\frac{(2)^2}{18} } } \ \big{)}[/tex]Simplify this expression.
[tex]-16 \ \pm \ -2.015 (\sqrt{5.1453} \ )[/tex] [tex]-16 \ \pm \ 3.73139[/tex]Adding and subtracting 3.73139 to and from -16 gives us a confidence interval of:
[tex](-20.5707,-11.4293)[/tex]If we want to interpret the confidence interval of (-20.5707, -11.4293), we can say...
We are 90% confident that the interval from -20.5707 to -11.4293 holds the true mean of items sold at locations A and B.
On an assignment, there are two true or false questions. You have no idea what the
correct answer is to either one so you guess.
What is the probability that you get both of them right by guessing?
Please HELP !! Find the SLOPE of the LINE
Answer: The slope is -2/1
Step-by-step explanation: We go 2 up and 1 to the left, meaning we get 2 over -1, to simplify, -2/1
Note: When we go down or to the left its negative, when we go up or to the right its positive
Answer: The slope is -2/1
Step-by-step explanation:
How do you algebraically prove that two lines are parallel, and that two lines are perpendicular? Explain, and give a pair of equations for an example of each.
Sara bought 12 pencils for $1.44. What is the cost per pencil?
Answer:
Step-by-step explanation:
each pencil costs $8.33.
12÷$1.44=$8.33.
hope this helps!
mark me brainliest as well please.
The sum of two numbers is 15. One number is four times the other. Find the two numbers.
Answer:
12 and 3
Step-by-step explanation:
3 * 4 = 12
12 + 3 = 15
Find the value of x.
Answer:
26
Step-by-step explanation:
im pretty sure this is it but sorry if it aint
I would like it if I could get a accurate answer.
Answer:
60°
Step-by-step explanation:
the triangle need to have 180°. The up right corner is 60 because 120 + 60 = 180. Then I extended to rhombus where you have two sets of same angles. 125 + 55 = 180. 125 + 125 = 250. 360 - 250 = 110. 110 ÷ 2 = 60
Find LJ and mGM if KP=PL and GH=36 ft
find m^gm
Fill in the Blanks:
To factor p^2 - 5p -14 we need to find ___ of ____ that will also add to equal ____.
Answer:
We need to find Factors of 14 that will also add and equal to 5
Step-by-step explanation:
Trinomial factorising
Answer:
see explanation
Step-by-step explanation:
p² - 5p - 14
We need to find the factors of the constant term (- 14) that will also add to give the coefficient of the p- term (- 5)
the factors are - 7 and + 2 , since
- 7 × + 2 = - 14 and - 7 + 2 = - 5
then
p² - 5p - 14 = (p - 7)(p + 2) ← in factored form
i need help with this
y= 2x+5 what is the gradient and y-intercept?
The awse is b) :B...... ur welcum
Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: science, math, Spanish, and art. science: MAD of 1.14 math: MAD of 1.6 Spanish: MAD of 1.2 art: MAD of 1.93 In which class were his scores the closest together?
Answer:
science
Step-by-step explanation:
k12 test
Will mark brainlyest!! Please help.
Answer:
The X-coordinates will decrease by 6 units because, anytime you move something to the left on a coordinate plane you are decreasing the x value
Answer:
The x-coordinates will decrease by 6.
Step-by-step explanation:
So when you look at a graph, the left side has smaller numbers than the right side because as you go down it becomes negative and the right means it is going positive. So if you are moving to the left you are getting smaller so you are decreasing. The other options with y-axis is not true because the y-axis is vertical.
a quadrilateral has exactly 2 congruent sides. wich quadrilateral types could it be? wich quadrilaterals could not be ?
Pete makes 15 dollars an hour. He spends 25 dollars a day ontransportaon and food. Writean expression to describe hisspending and earnings in a day,where h is the number of hoursthat Pete works that day
Find the surface area of the regular pyramid.
20 mm
Area of base
is 440.4 mm
16 mm
THE ANSWER IS 1240.4!!
1240.4!!
PLS MARK ME BRAINIESTR :Dfind the mean of 3,2,2,5,1,3,2,0,5
Answer:
2.56
Step-by-step explanation:
(3+2+2+5+1+3+2+0+5)/9=2.55555555556...
RIGHT ANSWER GETS BRAINLIST 100 POINTS
Samir is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a blue fabric.
How much fabric does Samir need in order to cover 5 of these blocks?
12 cm²
34 cm²
60 cm²
170 cm²
Answer:
170 cm
Step-by-step explanation:
2 * 1 1/2 * 2 = 6
1 1/2 * 4 * 2 = 12
2 * 4 * 2 = 16
In total: 6 + 12 + 16 = 34.
Samir needs to cover 5 of these blocks so: 34 x 5 = 170
I also did the quiz.
Answer: 170cm
Step-by-step explanation: I did the test!! From k12
SOLUTION 6 Show that -0.75(-4f + 12) and (5f + 9) - (2f+ 18) are equivalent expressions.
[tex]-0.75(-4f+12)\\\\=-\dfrac 34(-4f +12)\\\\=-\dfrac 34 \cdot (-4f) - \dfrac 34\cdot(12)\\\\=3f-9\\\\\\(5f+9)-(2f+18)\\\\=5f+9-2f-18\\\\=3f-9\\\\\text{Hence, the expressions are equivalent.}[/tex]
Colin put a pie in the oven at 1:35 p. M. He took the pie out at 2:17 p. M. How long was the pie in the oven?
Answer:
42 minutes
Step-by-step explanation:
there are 60 minutes in one hour.
from 12 pm, 1 hour and 35 minutes have passed to get to 1:35 pm
from 12 pm, 2 hours and 17 minutes have passed to get to 2:17 pm
we are trying to figure out the start to end time, or the difference between the times
2 hours and 17 minutes - 1 hour and 35 minutes
1 hour = 60 minutes
if we convert everything to minutes we can get a definitive time in one single unit
2 hours = 1 hour * 2 = 60 minutes * 2 = 120 minutes
1 hour = 60 minutes
plug these in
(120 + 17) minutes - (60 + 35) minutes
= 137 minutes - 95 minutes
= 42 minutes as our answer