NEED HELP! What is the first step to solve the equation a=2d/t^2 , where a is acceleration, d is the distance, and t is time. If an object accelerates at a rate of 2(m/s^2) for 10 meters, what is the total time elapsed?
Answers
Plug in a = 2 m/s^2 and d = 10 m, and solve for t (in s):
[tex]a=\dfrac{2d}{t^2}\iff2\dfrac{\rm m}{\mathrm s^2}=\dfrac{2\cdot10\,\mathrm m}{t^2}[/tex]
[tex]\implies t^2=\dfrac{20\,\rm m}{2\frac{\rm m}{\mathrm s^2}}=10\,\mathrm s^2[/tex]
[tex]\implies t=\sqrt{10}\,\mathrm s[/tex]
So the answer is C.
Related Questions
Please answer this correctly without making mistakes
What is the correct answer
How far apart are the locksmith and the hotel?
Answers
The correct answer is 45.5 km
Explanation:
The total distance from the locksmith to the hotel, located in the east of the graph is not directly given; however, this distance can be calculated by considering the partial distances given. This includes the distance from the locksmith to the furniture store (18.3 km), and the distance between the furniture and the hotel (27.2) as the total distance = distance from the locksmith to the furniture store + distance from the furniture store to the hotel. Thus, the total distance is 18.3 km + 27.2 km which is equal to 45.5 km.
Find m<1 .Triangle Angle-Sum Theorem.
Answers
Answer:
m<1 = 30
Step-by-step explanation:
To find m<1, we can do 180 - 75 - 75, which will give us 30 degrees, so m<1 = 30
The soldering iron’s highest temperature setting is 400 °F. What is the soldering iron’s temperature in Centigrade?
Answers
Answer:
204.4(repeating) degrees
Step-by-step explanation:
The equation to go from F to C, is (F-32)×5/9. So 400-32 is 368.
368×5=1840
Than 1840/9=204.44 degrees. The 4 is repeating at the end.
2. Salvador has 10 cards, each with one number on
it. The numbers are 2, 3, 4,5,5,7,7,7,7,7.
Salvador is going to make a row containing all 10
cards. How many ways can he order the row?
Answers
Answer:
15,120 number of ways.Step-by-step explanation:
This is a permutation problem. Given the 10 cards with numbers 2, 3, 4,5,5,7,7,7,7,7 on it, if Salvador is going to make a row call, the number of ways he can order a row is as shown below;
Total number of cards = 10!
number of times the digit 5 was repeated = 2times
number of times the digit 7 was repeated = 5times
The number of ways he can make a row call = 10!/2!5!
= 10*9*8*7*6*5!/2*5!
= 10*9*8*7*6/2
= 10*9*8*7*3
= 15,120 different ways
Hence, the number of ways he can order the row is 15,120 number of ways.
What is the point-slope form of a line that has a slope of One-half and passes through point (–7, 2)? 2 minus y = one-half (7 minus x) 7 minus y = one-half (negative 2 minus x) y minus 7 = one-half (X minus 2) y minus 2 = one-half (x minus (negative 7))
Answers
Answer: y-2=1/2(x-(-7)) or y-2=1/2(x+7)
Step-by-step explanation:
The point-slope formula is y-y₁=m(x-x₁). Since we are given the point and the slope, we can directly plug them into where it is appropriate. The slope is 1/2. Slope is represented by m. We would plug in 1/2 into m. The point is (x₁,y₁). That format matches (-7,2).
y-2=1/2(x-(-7))
y-2=1/2(x+7)
Answer:
D.
Step-by-step explanation:
2 lines connect to form a right angle. A third line extends between the 2 lines to form 2 angles which are labeled 1 and 2. Angles 1 and 2 are complementary and congruent. What is the measure of angle 1? 30° 45° 50° 75°
Answers
Answer:
the correct answer is 45°
Answer:
45 degrees.
Explanation: This is the correct answer on Edge 2021, just took the Unit test and made a 100%. Hope this helps ^-^.
PLEASE HELP!!! QUICKLY
Practice
Question 1: Choose the number that will complete this Pythagorean triple.
15, 17
Question 2: Choose the number that will complete this Pythagorean triple.
9,
41
Question 3: Choose the number that will complete this Pythagorean triple.
12, 35,
Reset
Submit
Answers
Answer:
1. = 8
2. =40
3. =37
Step-by-step explanation:
1. x = √(17² - 15²) = 8
2. x =√(9² +41²) = 40
3. x =√(12² + 35²) = 37
please mark brainliest
Find the 10th term of the following geometric sequence.
2, 10, 50, 250, ...
Answers
Answer:
3906250
Step-by-step explanation:
We can notice that the ratio is 5. 10/2 = 5
Each term gets multiplied by 5 to get the next term.
250 × 5 = 1250 (5th term)
1250 × 5 = 6250 (6th term)
6250 × 5 = 31250 (7th term)
31250 × 5 = 156250 (8th term)
156250 × 5 = 781250 (9th term)
781250 × 5 = 3906250 (10th term)
The 10th term of the geometric sequence is 3906250.
find the area under (sin x) bounded by x= 0 and x = 2π and x-axis
Answers
You probably want the unsigned area, which means you don't compute the integral
[tex]\displaystyle\int_0^{2\pi}\sin x\,\mathrm dx[/tex]
but rather, the integral of the absolute value,
[tex]\displaystyle\int_0^{2\pi}|\sin x|\,\mathrm dx[/tex]
[tex]\sin x[/tex] is positive when [tex]0<x<\pi[/tex] and negative when [tex]\pi<x<2\pi[/tex], so
[tex]\displaystyle\int_0^{2\pi}|\sin x|\,\mathrm dx=\int_0^\pi\sin x\,\mathrm dx-\int_\pi^{2\pi}\sin x\,\mathrm dx[/tex]
[tex]\displaystyle\int_0^{2\pi}|\sin x|\,\mathrm dx=(-\cos x)\bigg|_0^\pi-(-\cos x)\bigg|_\pi^{2\pi}[/tex]
[tex]\displaystyle\int_0^{2\pi}|\sin x|\,\mathrm dx=\boxed{4}[/tex]
4, 12, 36,what is 3 other remaining sequence
Answers
Answer:
108, 324, 972
Step-by-step explanation:
This sequence is multiplying by ✖️3.
4✖️3=12✖️3=36✖️3=108✖️3=324✖️3=972
Hope this helps!
Find the four terms of the sequence given by the following expression
Answers
Answer:
47, 40, 33, 26 are the first four terms of the sequence.
Step-by-step explanation:
Expression representing the sequence is,
[tex]a_n=46-7(n-1)[/tex]
where n = number of term in the sequence
For n = 1,
[tex]a_1=47-7(1-1)[/tex]
= 47
For n = 2,
[tex]a_2=47-7(2-1)[/tex]
= 47 - 7
= 40
For n = 3,
[tex]a_3[/tex] = 47 - 7(3 -1)
= 47 - 14
= 33
For n = 4,
[tex]a_4=47-7(4-1)[/tex]
= 47 - 21
= 26
Therefore, first four terms of the sequence are 47, 40, 33 and 26.
A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.
Use complete sentences in your explanation.
Hint: Pythagorean Theorem: a^2+ b^2 = c^2
Answers
Answer:
see below
Step-by-step explanation:
Using the Pythagorean Theorem:
a^2+ b^2 = c^2
5^2+ 9^2 = 13^2
25+81 = 169
106 = 169
This is not true so it is not a right triangle
Answer:
[tex]\boxed{\sf Not \ a \ right \ triangle}[/tex]
Step-by-step explanation:
Apply Pythagorean theorem to check if the triangle is a right triangle.
[tex]a^2+ b^2 = c^2[/tex]
[tex]5^2+ 9^2 = 13^2[/tex]
[tex]25+81=169[/tex]
[tex]106=109[/tex]
False statement.
The triangle is not a right triangle.
Recall the scenario about Eric's weekly wages in the lesson practice section. Eric's boss have been very impressed with his work. He has given him a $2 raise and now Eric earns $12 an hour. His boss also has increased Eric's hours to 10 to 25 hours per week. The restrictions remain the same; he needs to work a full-hour in order to get the hourly wage working 1.5 hour does not pay him for 1.5 hours but for one hour. Tasks: Consider the scenario and restrictions and interpret the work hour and potential earning relation as a function. Express the relation in the following formats: 1. Function equation 2. Domain of the function in the set notation (Would domain (work hours) be infinite?(write the domain in the set notation) 3. Range of the function in the set notation (Would the range (weekly wage) be infinite(write the range in the set notation) 4. Sketch the function and plot the points for his earnings.
Answers
Answer:
[tex]1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x <9\\18x-48&9\leq x \leq 24\end{array}[/tex]
2) D: x = [0, 24]
3) R: y = [0, 384]
4) see graph
Step-by-step explanation:
Eric's regular wage is $12 per hour for all hours less than 9 hours.
The minimum number of hours Eric can work each day is 0.
f(x) = 12x for 0 ≤ x < 9
Eric's overtime wage is $18 per hour for 9 hours and greater.
The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).
f(x) = 18(x - 8) + 12(8)
= 18x - 144 + 96
= 18x - 48 for 9 ≤ x ≤ 24
The daily wage where x represents the number of hours worked can be displayed in function format as follows:
[tex]f(x)=\bigg\{\begin{array}{ll}12x&0\leq x <9\\18x-48&9\leq x \leq 24\end{array}[/tex]
2) Domain represents the x-values (number of hours Eric can work).
The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.
D: 0 ≤ x ≤ 24 → D: x = [0, 24]
3) Range represents the y-values (wage Eric will earn).
Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.
The minimum hours he can work in one day is 0.
f(x) = 12x
f(0) = 12(0)
= 0
The maximum hours he can work in one day is 24 (although unlikely, it is theoretically possible).
f(x) = 18x - 48
f(24) = 18(24) - 48
= 432 - 48
= 384
D: 0 ≤ y ≤ 384 → D: x = [0, 384]
4) see graph.
Notice that there is an open dot at x = 9 for f(x) = 12x
and a closed dot at x = 9 for f(x) = 18x - 48
1
?
x + 5and
Which line is parallel to the line y =
passes through the point (-2, 1)?
x+
O y=x+3
1
y =
+2
1
y =
4
*-
oy-
1
-X
y=-2
Answers
Answer:
second option
Step-by-step explanation:
Parallel lines have the same slope, and since the slope of the given line is 1/2, we know the slope of the answer will be 1/2, which eliminates the first and last options. We know the slope and a point that belongs to the line, (-2, 1), so we can use point-slope formula to derive the equation of the line.
y - 1 = 1/2(x + 2)
y - 1 = 1/2x + 1
y = 1/2x + 2
What is the height of the cone?
Answers
Answer:
it is the inches milimeters meters
Answer:
9 cmStep-by-step explanation:
Given,
Volume of cone ( v ) = 27 π
Radius ( r ) = 3 cm
Height of cone ( h ) = ?
Now, let's find the height of cone:
Volume of cone = [tex] \frac{\pi {r}^{2}h }{3} [/tex]
plug the values
[tex]27\pi = \frac{\pi \: {3}^{2} \: h \: }{3} [/tex]
Evaluate the power
[tex]27\pi = \frac{\pi \times 9 \times h}{3} [/tex]
Divide 9 by 3
[tex]27\pi = 3\pi \: h[/tex]
Divide both sides of the equation by 3π
[tex] \frac{27\pi}{3\pi} = \frac{3\pi \: h}{3\pi} [/tex]
Calculate
[tex]9 = h[/tex]
Swipe the sides of the equation
[tex]h = 9[/tex] cm
Hope this helps..
Best regards!!
Integrate the following: ∫84 [tex]dx[/tex]
A. 42x
B. 84x
C. 84x + C
D. 42x + C
Answers
Answer:
Choice C. [tex]84\, x + C[/tex].
Step-by-step explanation:
Consider the power rule for integration. Let [tex]n[/tex] be a real number that is not equal to [tex](-1)[/tex]. The power rule for integration states that:
[tex]\displaystyle \int x^{n}\, d x = \frac{1}{n + 1}\, x^{n+ 1} + C[/tex],
How could this rule apply to this question, since there's apparently no [tex]x[/tex] (or its powers) in the integrand? Keep in mind that [tex]x^{0} = 1[/tex] for all real (and particularly non-zero) values of [tex]x[/tex]. In other words, the integrand [tex]84[/tex] is equal to [tex]84\, x^0[/tex]. The integral becomes:
[tex]\displaystyle \int 84\, x^{0}\, dx[/tex].
The constant can be moved outside the integral sign. Therefore:
[tex]\displaystyle \int 84\, x^{0}\, dx= 84 \int x^{0}\, dx[/tex].
Now that resembles the power rule. In particular, [tex]n = 0[/tex], such that [tex]n + 1 = 1[/tex]. By the power rule:
[tex]\begin{aligned}84 \int x^{0}\, dx = 84\, \left(\frac{1}{1}\, x^{1} + C\right) = 84\, x + 84\, C\end{aligned}[/tex].
The non-zero constant in front of [tex]C[/tex] can be ignored (where [tex]C[/tex] represents the constant of integration.) Therefore:
[tex]\displaystyle \int 84\, dx = 84\, x + C[/tex].
If a is a constant then it's inetgration is
[tex]\boxed{\sf \displaystyel\int adx=ax+C}[/tex]
Here 84 is constant[tex]\\ \rm\Rrightarrow \displaystyle\int 84dx[/tex]
[tex]\\ \rm\Rrightarrow 84x+C[/tex]
Option C
Solve the equation: 1/3(y - 2) - 5/6(y + 1) = 3/4(y - 3) - 2
Answers
Answer:
y=2.2
Step-by-step explanation:
1: Distribute all numbers to get rid of all parenthesis
2: Solve
Hope this helped :) LET ME KNOW IF YOU NEED THE ANSWER IN A DIFFERENT FORM I CAN GET IT FOR YOU
Hope this help
In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Determine the average rate of change (slope) from 2009 to 2013.b.
Answers
Answer:
1970.5 thousand
Step-by-step explanation:
Given
Vehicle sales in 2009 = 10,002 thousand
Vehicle sales in 2013 = 17,884 thousand
Required
Determine the average rate of change;
From the given parameters, it can be seen that the number of vehicles is a function of year
Let x represent the years and y represent the number of vehicles;
Such that;
[tex]x_1 = 2009;\ y_1 = 10,002[/tex]
[tex]x_2 = 2013;\ y_2 = 17,884[/tex]
The rate of change is calculate as follows;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{10002 - 17884}{2009 - 2013}[/tex]
[tex]m = \frac{-7882}{-4}[/tex]
[tex]m = \frac{-7882}{-4}[/tex]
[tex]m = 1970.5[/tex]
Hence, the average rate of change is 1970.5 thousand
Which inequality is equivalent to this one y-8_<-2
Answers
Answer:
[tex]\boxed{y\leq 6}[/tex]
Step-by-step explanation:
[tex]y-8 \leq -2[/tex]
Adding 2 to both sides
[tex]y \leq -2+8[/tex]
[tex]y \leq 6[/tex]
Find the next two !!!
Answers
It's adding 3 and subtracting 2 every time.
This means the next two terms would be +3 and -2 since the last one was -2.
The next term = 4+3=7
The next next term = 7-2=5
Answer:
Answer : 7 , 5Please see the attached picture.
Hope it helps...
Best regards!!
40.) Decompose 7/8 into the sum of unit fractions.
Answers
Answer:
7/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8
7/8 = 1/8 + 6/8
7/8 = 4/8 + 3/8
7/8 = 5/8 + 2/8
Step-by-step explanation:
Hope it helps!
The fraction 7/8 can be written as the sum of unit fraction i.e;
1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8.
What is unit fraction?A unit fraction can be defined as a fraction whose numerator is 1.
Given fraction 7/8
can be written as the sum of the unit fraction i.e;
7/8=1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8
Hence,7/8 can be decomposed into sum of unit fraction as
1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8.
To know more about the unit fraction click the link below:
https://brainly.com/question/15326565
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Mariam went to a shop and bought 8 snickers, 3 galaxy and 3 kitkat. She payed 8 BD
totally. Her friend Zainab bought 4 snicker, 9 galaxy and 4 kitkat. She payed 10.9BD.
Is it possible to know the cost of each chocolate mathematically?
If yes how. If not why?
Answers
Answer:
Yes
Step-by-step explanation:
Let s be the price of snickers, g the price of galaxy and k the price of kitkat.
●For Mariam the equation will be:
8 s + 3 g + 3k = 8
●For Zainab the equation will be:
4 s + 9 g + 4 k = 10.9
Take the first equation and divide both sides by 4 to make it easier.
You get:
● 2s + 0.75 g + 0.75k = 2
Take the second equation and divide both sides by 2 to make easier.
You get:
● 2s + 4.5g + 2k = 5.45
The new system of equation is:
● 2s +0.75g + 0.75k = 2
● 2s + 4.5g + 2k = 5.45
Express s in the first equation using the other variables.
● 2s +0.75g +0.75k = 2
● 2s + 0.75(g+k) = 2
● 2s = 2-0.75(g+k)
● s = 1- 0.325 (g+k)
Replace s by the new expression in the second equation:
●2 [1-0.325(g+k)] +4.5 g +2k = 5.45
●2-0.75(g+k) +4.5g + 2k = 5.45
●2- 0.75g -0.75k +4.5 g +2k = 5.45
●2+ 3.75g + 1.25k = 5.45
● 3.75g +1.25k = 3.45
We have eliminated one variable (s)
We will keep (3.75g+1.25k=3.45) and use it.
Now that we eliminated in the second equation do it again in the first one.
You will get a system of equations with two variables.
Solve it and replace g and k with the solutions.
Finally solve the equation and find s.
A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is
Answers
Answer:
The correct answer will be "56".
Step-by-step explanation:
Use a combination of 8 things taken 3 at a time :
⇒ [tex]8_{C_{3}}[/tex]
⇒ [tex]\frac{8!}{(3!(8 - 3)!)}[/tex]
⇒ [tex]\frac{8!}{(3!5!)}[/tex]
⇒ [tex]\frac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{3\times 2\times 1}[/tex]
⇒ [tex]8\times 7[/tex]
⇒ [tex]56[/tex]
Using the principle of combination, the number of different random samples of size 3 that can be selected is 56.
Using the principle of combination :
nCr = [n! ÷ (n-r)! r!]Hence, we have ;
8C3 = [8! ÷ (8 - 3)! 3!]
8C3 = [8! ÷ 5!3!]
8C3 = (8 × 7 × 6) ÷ (3 × 2 × 1)
8C3 = 8 × 7
8C3 = 56
Hence, there are 56 different possible samples.
Learn more : https://brainly.com/question/25581049
I NEED HELP ASAP!!!!!!! Find 2 numbers that multiply to make -24 and add to make -10
Answers
Answer:
Step-by-step explanation:
-8*3= -24+14=-10
Answer:
-12 and 2.
Step-by-step explanation:
-12*2= -24,
-12+2=-10
What property do rectangles and parallelograms always share?
Answers
Hope this helps!!!!!
Which is steeper: a road with a 12% grade or a road with a pitch of 1 in 8?
Answers
Answer:
A road with a pitch of 1 in 8 is steeper.
Step-by-step explanation:
Let us convert these to the same units so that we can better compare them.
[tex]\frac{1}{8} = 0.125[/tex]
0.125=12.5 %
As 12.5% is greater than 12%, the road with a pitch of 1 in 8 will be steeper.
i will give brainliest and 50 points pls help ASP
pls can u show how to work this out thx !!! : )
its a simultaneous equation
Answers
Answer:
x = 3
y = -2
Step-by-step explanation:
Given:
8x - 3y = 30 ..................(1)
3x + y = 7 .......................(2)
Eliminate y by adding (1)+3*(2)
8x-3y + 3*( 3x+y) = 30 + 3*7
8x + 9x -3y + 3y = 51
17x = 51
x = 3 .....................(3)
substitute (3) in (2)
3(3) + y = 7
y = 7-9 = -2
y = -2 ....................(4)
Answer:
Step-by-step explanation:
[tex]8x-3y=30\\y=7-3x\\\\8x-3(7-3x)=30\\8x-21+9x=30\\17x=51\\x=3\\\\y=7-3(3)\\y=7-9\\y=-2[/tex]
What is the value of 3/4 increased by 2 1/6?
Answers
Answer:
2 11/12
Step-by-step explanation:
3/4 + 2 1/6
Add the fractions.
35/12
= 2 11/12
Answer:
[tex]2\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}+2\frac{1}{6}=\\\\\frac{18}{24}+2\frac{4}{24}=\\\\2\frac{22}{24}=\\\\2\frac{11}{12}[/tex]
find the coordinates of the vertices of the triangle after a reflection across the line y = -1 and then across the line x = -2
Answers
Answer: A) N'=(-2, 2) M'=(-1, 0) L'=(-5, -2)
Step-by-step explanation:
N = (-2, -4) M = (-3, -2) L = (1, 0)
Reflection over y = -1
N' = (-2, 2) M' = (-3, 0) L' = (1, -2)
Reflection over x = -2
N'' = (-2, 2) M'' = (-1, 0) L'' = (-5, -2)
"Smokers are much more likely to speed, run red lights, and get involved in car accidents than nonsmokers."(a) Can you think of reasons why this statement might be misleading?(b) Can you suggest a causal link between smoking and car accidents?
Answers
Answer: Smokers pay less attention to driving while trying to light a cigarette.
Step-by-step explanation:
( A ) reasons for, why the given statement was misleading.
Following are the reasons for accidents
(i) Drunk Driving.
(ii) Driving during the night.
(iii) Smoking.
(iv) Unsafe lane changes.
(v) Driving the wrong way.
(vi) Bad weather e.g fog.
From the list above, it is shown that, smoking is also one of the major cause of car accidents on the roads.
( B.) Smokers tends to pay less attention to driving why trying to light a cigarette.