Answer:
1.8m/s
Step-by-step explanation:
Given:
speed;
v = 5t² - 2t + 2 ---------------(i)
(i) First, find the acceleration a by differentiating the speed equation in equation (i) with respect to t as follows;
a = [tex]\frac{dv}{dt}[/tex]
a = [tex]\frac{d}{dt} [5t^2 - 2t + 2][/tex]
a = 10t - 2 ---------------------(ii)
(ii) Next, find the moment (time) when the acceleration is zero. This is done by substituting a = 0 into equation(ii) as follows;
0 = 10t - 2
Solve for t
10t = 2
t = 2 / 10 = 0.2
Therefore, at t = 0.2s, the acceleration is zero.
(iii) Now, find the velocity at time t = 0.2s when the acceleration is zero. This is done by substituting the value of t = 0.2s into equation (i) as follows;
v = 5(0.2)² - 2(0.2) + 2
v = 0.2 - 0.4 + 2
v = 1.8
Therefore, the speed at the moment when acceleration is zero is 1.8m/s
NB: Since the units of measurement are not given, the S.I units are used. Hence m/s for speed.
Helpppppppppppppppp meeeee
Answer:
3
Step-by-step explanation:
Both angles are congruent because they are opposite exterior angles.
6x+2=x+17
5x=15
x=3
Answer:
x = 23 °
Step-by-step explanation:
6 x + 2 ° + x + 17 ° = 180 °
combine like terms
6x + x + 2 ° + 17 ° = 180 °
7 x + 19 ° = 180 °
7 x = 180 ° - 19 °
7 x = 161 °
x = 161 ° / 7
x = 23 °
What is the angle measure of the third angle of a triangle given the two angles below? 59 degrees and 58 degrees
Answer:
firstly a triangle has angle sum of 180°
Step-by-step explanation:
let all the three angles be x,y and z such that x+y+z =180°
let x= 58° and y =59°
the to calculate for the unknown z angle ;
make z subject of the formula
thus z= 180° -x-y
> z= (180-58-59)°
z= 180-117
z= 63°
Answer:
63
Step-by-step explanation:
59 + 58 = 117
180 - 117 = 63
To find a third angle you will subtract the sum of the two given angles from 180 because all you have to know is that all of the angles in a triangle always add up to 180°.
i hope this helps. i don't know how to explain
find the mean of 11,7,2,8
mean=7
Answer:
n=4
sum =11+7+2+8=28
MEAN=sum/n=28/4=7
Answer:
The Mean is 7.
Step-by-step explanation:
Mean, or average is when you find a number that is reperesentative of the set as a whole.
To find this we add up all the values and divide it by how many values there are.
11 + 7 + 2 + 8 = 28
28/4 = 7
Can someone please help???
Answer:
The triangle is a right triangle, m<c = 50 degrees, angle A + angle c = 90 degrees.
Step-by-step explanation:
Answer:
50°
Step-by-step explanation:
the triangles measurements always add to 180°. the triangle above is a scalene triangle, since none of the angle measurements are the same amount.
Equilateral triangles: All 3 sides are equal
Isoceles triangle: 2 sides are equal
Scalene triangle: No sides are equal
A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the box?
Answer:
768 in²
Step-by-step explanation:
Surface Area = 2(15*14) + 2(15*6) + 2(14*6)
Surface Area = 2(210 + 90 + 84)
Surface Area = 2(384)
Surface Area = 768
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
768 in²
Step-by-step explanation:
i got it right on the test
HELP ASAP!!! Identify y.
Answer:
y=2
Step-by-step explanation:
53y–16= 90
53y=90+16
53y=106
y=106/53
y=2
Answer:
y = 2
Step-by-step explanation:
If one side of a triangle inscribed in a circle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle.
Therefor
53y - 16 = 90
add 16 to both sides
53y = 106
Divide both sides by 53
y = 106/53
y = 2
below equations has a graph that passe ugh the points (3,-4) and (-1,4)?
Which of
Answer:
boi i don't know you should be studing
Answer:
option b.
Equation of line passing through ( 3, 4) and ( - 1 , 4) :
[tex](y + 4) = -2 (x-3)[/tex]
Step-by-step explanation:
Step 1 : Find slope.
[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -- 4}{-1-3} = \frac{8}{-4} = -2[/tex]
Step 2 : Equation of line.
[tex]( y -y_1) = m (x -x_1) \ , \ where\ (x_1, y_1) = (3, -4) \ , \ m = -2[/tex]
[tex](y + 4) = -2 (x-3)[/tex]
If H is the center of the circle, find mGJI A 117.33 B 222.57 C 242.67 D 256.56
40 POINTS! PLEASE HELP
Answer:
GJI = 242.67
Step-by-step explanation:
A circle is 360 degrees
GI + GJI = 360
The arc length is the same as the angle when it is at the center
117.33 + GJI = 360
GJI = 360 - 117.33
GJI = 242.67
Answer:
GJI = 242.67
Step-by-step explanation:
GI + GJI = 360
117.33 + GJI = 360
GJI = 360 - 117.33
GJI = 242.67
answer the problem that was given in the image.
Answer:
1314.24 cm^2
Step-by-step explanation:
Area for one square: 14.8 x 14.8 = 219.04
There's 6 squares so: 6 x 219.04 = 1314.24 cm^2
Find the length of side XZ in the right triangle shown, Y 37 meters 12 meters ? meters X Z z Tags
Answer: 35 meters got it right on TTM
Leon simplified √180k/9k^5 His work is shown below. Leon got a simplified answer of 2/k^2√5 Did he simplify correctly?
Answer:
No, 2/3 sqrt(5) k^(11/2)
Step-by-step explanation:
Answer:
yes he simplified correctly
Step-by-step explanation:
got this question right on edg
anyone know this ...
can someone pls help for brainlest
Hope this help!!!
Have a nice day!!!
2. What is the probability of spinning an A on the first spinner and an odd number
on the second spinner? *
Answer: 1/10
Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.
To find the probability of independent events, first, find the
probability of each event, then multiplies the probabilities.
The probability of spinning an A on the first spinner is 1/5
since there is 1 favorable outcome and 5 total outcomes.
The probability of spinning an odd number on the second spinner
is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,
spinning a 1, 3, or another 3 since these are odd numbers.
So now we have 1/5 × 1/2 and when multiplying fractions,
we multiply across the numerators and denominators to get 1/10.
So the probability of spinning an A, then an odd number is 1/10.
To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license?
17%
19%
36%
70%
Answer:17
Step-by-step explanation:
Because i know its the right answer and i guessed sorry if its wrong
Answer:
17
Step-by-step explanation:
If g(x) = √x and h(x) = x^3 - 1, what is g(h(4))
Answer:
Here, given
g(x) = √x
h(x) = x³-1
For gh(4) , we have to find gh(x), so,
gh(x) = g(x³-1)
=√x³-1 [Note⇒root is both for x³ and 1]
Now,
gh(4) = √4³-1
= 3√7 or 7.9
Hope it helps!
Hey there, Please help me. Thank you
Answer:
(-5,-15)
Step-by-step explanation:
Answer:
(-5,-15)
Step-by-step explanation:
3x=2x-5
-2x -2x
x=-5
y=3(-5)
y=-15
Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24.5%. A Gallup poll examined the rate of obesity in adults in the United States with a survey of 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. Select the best description of the sample.
Answer:
86,664 randomly selected U. S Adults
Step-by-step explanation:
The sample is a subset of the population, that is a representative observation which is chosen from a larger population usually used in place of the population due to various reasons which may hamper the use of the entire population on a certain research project. Here, the population of interest is the entire U.S adult.
The subset of the population employed is the 86,664 randomly sampled US adults, this is called the sample as it representative of the population of interest.
Help,anyone can help me do quetion.
Step-by-step explanation:
this is solution for your question
there are a tangent and secant line meet and the angle created is 45 degrees the large arc of the circle is 27x. solve for x and how?
Answer:
10°
Step-by-step explanation:
the minor arc BC = 2×45 = 90°
so, the major arc BC = 360-90=270°
27x = 270°
x = 270/27 = 10°
Mr. Brutry ordered 78 pencils for the students in his class. He ordered enough pencils for each student to have exactly 3
pencils.
How many students are in Mr. Bruno's class?
Use a letter to represent the number of students in Mr. Bruno's class.
Write an equation and use it to solve the word problem.
Answer:
He has 26 students
Step-by-step explanation:
78/3=26
15 years from now Ravi's age will be 4 times his present age what is Ravi's present age
Answer:
Ravi’s present age will be 5.
Step-by-step explanation:
From the given, Let Ravi’s present age is taken as "a" years.
After 15 years, his age = (a+15) years.
By the given, it is identified that the age of Ravi after 15 years is equal to the 4 times of his present age.
Given,
[tex]a+15+4a\\4a-a+15\\3a=15\\a=15/3\\a=5[/tex]
Then, it has been found that the present age of Ravi is 5 when his age after 15 years will be 4 times of his present age.
6 I think Sry if I wrong________
In the diagram beside QRS is a straight line QP/RT ‹ PRQ = 56 ‹ QPR = 84 and ‹+RS X° X find x
Answer:
x = 40
Step-by-step explanation:
< PQR = 180° - (84° + 56°)
= 40°
so x = 40° (corresponding angles QP// RT)
6÷2(1+2)=
whats the answer
Answer:
9
Step-by-step explanation:
6÷2(1+2)=
Parentheses first
6÷2(3)=
Then multiply and divide from left to right
Divide first
3*3
Then multiply
9
Answer:
It is 9
Step-by-step explanation:
You start with the numbers in the parenthesis first then you do the division and then multiple those two answers together.
(1 + 2) = 3
6 ÷ 2 = 3
3 x 3 = 9
What is the perimeter of the area. Please show work.
Answer:
P=a+b+c
Step-by-step explanation:
Find the sum of the arithmetic series...........
3 + 5 + 7 + 9 + 11 + for 100 terms.
Answer:
Step-by-step explanation:
3 + 5 +7 +9 + 11 + ....
n = 100
a = 3
d = 5 - 3 = 2
[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]
I need help............,
only question no.12
Answer:
12. Please find attached the required plot created with MS Excel
Step-by-step explanation:
12. The points are given in their x and y-coordinates as follows;
(-2, 5), and (5, 2)
To plot the points on a graph, MS Excel plot function can be used as follows;
1) We enter the x and y-values of the first point, side by side in cells on the Excel spreadsheet
We enter the x and y-values of the second point, beneath the first point on the spreadsheet as follows;
[tex]\left | \begin{array}{ccc}-2&|&5\\5&|&2\end{array} \right|[/tex]
2) The four cells are selected and from the Insert menu within the Chart group, the Scatter (x, y) chart is selected
3) The plot created with MS Excel is attached
Anyone will have time to do this for me pls?
x= -4
y= -7
Hope it helps you...
The volume of this sphere is 25500cm3. Work out the length of the radius, r . Give your answer rounded to 1 DP.
Answer:
The radius is 18.3cm
Step-by-step explanation:
Given
[tex]V = 25500cm^3[/tex]
Required
The radius, r
The volume (V) of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
So, we have:
[tex]25500 = \frac{4}{3}\pi r^3[/tex]
Solve for r
[tex]\pi r^3 = 25500 * \frac{3}{4}[/tex]
[tex]\pi r^3 = 19125[/tex]
Divide by [tex]\pi[/tex]
[tex]r^3 = \frac{19125}{\pi }[/tex]
[tex]r^3 = \frac{19125}{3.14}[/tex]
[tex]r^3 = 6090.8[/tex]
Take cube roots
[tex]r = 18.3[/tex] -- approximated
please help guys its urgent
Answer:
option B : Upen
Step-by-step explanation:
To find who saves the greatest. Find who spent the least.
That is find the smallest of these fractions.
To find the smallest among the fraction:
Step 1 : make the denominators the same.
Step 2 : to make denominators same find LCM of 8, 4, 3, 6
Step 3: LCM = 24
[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]
[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]
So 2/3 is the smallest fraction, which means 2/3 spent the least amount from the salary.
Therefore, Upen saves the greatest amount every month.
