So, at [tex]t=\frac{6}{5}[/tex], the velocity changes towards the right.
Velocity:Velocity is the prime indicator of the position as well as the rapidity of the object. It can be defined as the distance covered by an object in a unit of time. Velocity can be defined as the displacement of an object in a unit of time.Given that,
[tex]x(t)=5t^{3} -9t^{2} +7[/tex]
[tex]{x}'\left ( t \right )=15t^{2}-18t \\ {x}'\left ( 1 \right )=15t-18 \\ =-3 < 0[/tex]
Therefore, the particle is moving towards the left.
[tex]{x}'\left ( t \right )=0 \\ t=0 \\ t=\frac{18}{15}=\frac{6}{5}[/tex]
Learn more about the topic of Velocity: https://brainly.com/question/26417650
is this correct (thank you and 5 stars)
Answer:
Correct!
Step-by-step explanation:
Good Job
A builder is using the drawing below to build a house. If the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?
Please Help!
Perimeter and Area | Mathematics for the Liberal Arts
A.
14.4 feet x 9.6 feet
B.
144 feet x 96 feet
C.
13.2 feet x 8.2 feet
D.
10 feet x 8 feet
Answer:
A
Step-by-step explanation:
Percentage increment means the part of original value is added to the value. The new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.
What is the percentage of a number?Percentage of a number or ratio is fraction of hundred. It is expressed with the sign "%".
Given information-
The length of the living room is 12 feet.
The width of the living room is 8 feet.
The owner increases the 20 percent of length and 20% width.
Suppose new length is [tex]l[/tex] feet long. As the owner increases the 20 percent of length. Thus the new length will be sum of original length and the 20 percent of it. Hence,
[tex]l=12+\dfrac{20}{100}\times12 \\l=12+2.4\\l=14.4[/tex]
Thus the new length of the living room is 14.4 feet long.
Suppose new width is [tex]w[/tex] feet long. As the owner increases the 20 percent of width. Thus the new width will be sum of original width and the 20 percent of it. Hence,
[tex]w=8+\dfrac{20}{100}\times8 \\w=8+1.6\\w=9.6[/tex]
Thus the new width of the living room is 1.6 feet long.
Hence the new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.
Learn more about the percentage here;
https://brainly.com/question/24304697
What is the value of x in this equation?
2x – 12 = -52
Answer:
x = -20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2x - 12 = -52
Step 2: Solve for x
Add 12 on both sides: 2x = -40Divide 2 on both sides: x = -20Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(-20) - 12 = -52Multiply: -40 - 12 = -52Subtract: -52 = -52Here we see that -52 does indeed equal -52.
∴ x = -20 is the solution to the equation.
Answer:
[tex]2x - 12 = - 52 \\ 2x = - 52 + 12 \\ 2x = - 40 \\ \boxed{x = - 20}[/tex]
-20 is the right answer.A math student programmed a calculator to randomly generate a number from 11 to 20. If each number has the same probability of being generated, how many times would you expect to get a 14 in 50 random numbers
Omar is going to an amusement park for his birthday party. It costs $30 for the first person's ticket, plus $5 for each additional ticket. If the budget for his party is $125 how many friends could he invite?
Answer:
he could invite 19 friends
Step-by-step explanation:
125 (buget) - 30 (cost for 1st ticket) = 95
95/5 = 19
Convert 111110 base two to base eight
Answer: I got 76.
Step-by-step explanation:
Generate an equivalent expression using prime factorization for -60. show your workk
Answer:
60 70 80m9
Step-by-step explanation:
Answer this please
Segment Partitions
9514 1404 393
Answer:
E = (-2, -1.5), see attached for a plot
Step-by-step explanation:
We want point E such that ...
EC/DC = 3/4 . . . . . . . . the ratio of segment lengths is 3/4
(E -C)/(D -C) = 3/4 . . . . the ratio of coordinate differences is 3/4
4(E -C) = 3(D -C) . . . . . cross multiply
4E = 3D -3C +4C . . . . isolate E term
E = (3D +C)/4 . . . . . . . divide by 4 to find E
__
E = (3(-3, -4) +(1, 6))/4 = (-9+1, -12 +6)/4
E = (-2, -1.5)
The point is plotted in the attached graph.
What is the value of the expression 0.5 ( 3 x + 2 y ) when x = 2 and y = 4?
Answer:14 .5
Step-by-step explanation:
3x2 is 6 and 4x2 is 8 so it would be 14a and a half aka 14.5
Answer:
7
Step-by-step explanation:
0.5 *( 3 (2) + 2 (4) )
(6+8)
0.5*(6+8)
0.5*14
7
Help please :( !
Example :Martin mixes a cleaning spray that is 1 part vinegar to 5 parts water .
Answer:
1:5
5
125
2
Step-by-step explanation:
I'm not too sure how to explain this, if you have a question just ask
HELP WILL GIVE BRAINLIST NO FAKE ANSWERS
Write a function rule representing the verbal statement given in each case.
1. 7 less than one fourth of x is y .
___________________
2. 5 times w increased by 4 is 2 times u .
___________________
3. z is 6 more than twice y.
___________________
4. 2.5 more than quotient of a and 4 is b .
___________________
Write a function rule representing each situation.
1. The price p of a pizza is $4.95 plus $0.5 for each topping t on the pizza.
___________________
2. The cost c of the membership of a club is $30 for sign up and $15 per week w to be a member.
___________________
3. The cost d of a hotdog is $1 more than half the cost of a sandwich s.
___________________
Answer
2.5w+4=2u
3. z+6*y
4. 2.5/a=4
Step-by-step explanation:
sorry about the other ones they were confusing hope these are right if not im so sorry
21(-2) = 42
true or false?
Answer:
false, because is going to give you a negative answer,
Step-by-step explanation:
21/-2=-42
Answer:
false
Step-by-step explanation:
Jose deposits $2,500 in an account that earns 5% simple interest. How much is Jose's investment worth after 20 years
Answer:
$5,000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 2500(1 + (0.05 × 20)) = 5000
A = $5,000.00
Help!!!! Sophia travels south 15 meters and then goes east 15 meters before coming straight back north 15 meters. What is her displacement?
0 m
15 m
30 m
45 m
Answer:
15
Step-by-step explanation:
She basically did a U-Turn
what is 4/7- 2/7 i rlly need help!
Answer:
2/7
Step-by-step explanation:
4-2=2
4/7 - 2/7 = 2/7
the denominators are the same so just change the numerators
Answer:
2/7
Step-by-step explanation:
[tex] \frac{4}{7} - \frac{2}{7} = \frac{2}{7} [/tex]
if the bottom numbers are the same you can subtract the top numbers like normal
Sharon owns a car lot in Virginia Beach. For every car that parks in her parking lot, she charges $ 5.00 per day. She uses this equation to determine her daily income: y = 5x
Answer:
The question should have given you an X-value to insert so you would multiply 5 by how many cars that parked.
Step-by-step explanation:
I NEED THIS FOR MY TEST ASAP!
What value of n makes the equation 2(0.5n − 3) = n − 0.25(12 − 12n) true?
Answer:
-1
Step-by-step explanation:
2(.5n-3)=n-0.25(12-12n)
first you distribute whatever is on the outside of the parenthesis to the inside of the parenthesis
1n-6=n-3+3n
then you combine like terms and end up with
1n-6=-3+4n
add 6 to each side to get
n=3+4n
subtract 4n from each side to get
-3n=3
divide -3 from each side to get
n=-1
The length of a rectangular art canvas is 36 inches, and the width is 24 inches. What is the length of the diagonal of this frame?
Answer:
43.3
Step-by-step explanation:
pythagoras theorem
is 4(x+2y) and 8y+4x Equivalent
hank has $40.00 in savings account that earns 5% interest per year. the interest is not compound. How much interest will be earned in 2 years? plz hurry
Answer:
it would be $80.00
Step-by-step explanation:
there
please help will give brainliest
Answer:
A IS THE ANSWER
Step-by-step explanation:
Plz answer quick! Will mark brainliest
Answer:
arithmetic mean of mode is 4.54 recurring arithmetic mean of median is 5.
Step-by-step explanation:
Mean of mode mode is in the column 7 so you add all those numbers and divide by the number of the numbers
What is the correct meaning of the word saturate?
Saturate the dog's fur with water, and then apply the pet shampoo.
wet through
spray down
rub in
rinse out
Wet through because in the definition it says throughly
5 x + 3 + 9 x − 3 3 = 1 8 0
Answer:X=15
Step-by-step explanation:
Combine the 5x and 9x then you move the 30 to the right side with 180 which gives you 14x=210 then you divide both sides.
1.2 x 10^-6/4.8 x 10^4 simplified
Answer:
this would be b
Step-by-step explanation:
?/1 If a test is worth 45 points, how many points would a student need to earn to get a score of 90%?
Answer:
40.5 points
Step-by-step explanation:
To start off, I would set up a proportion. You're trying to find how many points out of the total 45 would give you a 90%.
90% as a fraction would be [tex]\frac{90}{100}[/tex].
When you set the two equal to one another, you get this:
[tex]\frac{x}{45} = \frac{90}{100}[/tex]
The bottom numbers are the total amount of points, and the top is how many points a student got.
To solve for x, which is the number of points a student would need to earn, you can cross multiply.
After you do that, you should get:
100x = 4050
To isolate x, you can divide by 100 on both sides.
x = [tex]\frac{4050}{100}[/tex] = 40.5 points
To check your answer, all you have to do is divide.
40.5 ÷ 45 = 0.9
0.9 as a percent is 90%.
On what interval is the function positive?
Answer: (-∞,2)
Step-by-step explanation: 2 is not included in the interval since at x=2, the function crosses the x axis, meaning it is not positive, and instead 0.
All x values below 2 are positive.
Determine if the relation is a function if so state the domain and range
Answer:
Function - Yes
Domain - [-3,0,3,4]
Range - [1,2,2,5]
Step-by-step explanation:
In a function, x-values cannot repeat and in this relation, x's do not repeat, therefore it is a function. The domain is the x-values on the graph from least to greatest; so to find the domain, simply take the first value of each coordinate and order them from least to greatest. Then, the range is the y-values, so to find the range take the second value from each coordinate and order them from least to greatest.
Ms. Molinaro pays $105 for 10 Barre classes. What is the cost per class?
Answer:
$10.50 for each class
Step-by-step explanation:
105 % 10 = 10.5
which correctly describes how to determine the measure of angle 1?
Answer: It’s A (the first option)
Step-by-step explanation:
Angle 2 corresponds to 81 degrees, making angle 1 equal to 99 since 180-81=99
