Answer: [tex]\left | 2t-5\right |,\ 2,\ 2t-5[/tex]
Step-by-step explanation:
Given
Position of the particle moving along the coordinate axis is given by
[tex]s(t)=t^2-5t+1[/tex]
Speed of the particle is given by
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left | 2t-5\right |[/tex]
Acceleration of the particle is
[tex]\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2[/tex]
velocity can be negative, but speed cannot
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5[/tex]
Guys please help me solve this problem, yes I will mark brainliest
Given that the vertex is at (50, 1000), the max profit is $1000 when 50 items are produced
Find the square root of 1764 by factorisation method
Answer:
42
Step-by-step explanation:
prime factorisation of 1764 = 2^2 × 3^2 × 7^2
hence,
√1764 = √(2^2 × 3^2 × 7^2) =2 x 3 x 7 = 42
Answer:
42
Step-by-step explanation:
1764 = 2 * 882
= 2 * 2 * 441
= 2 * 2 * 3 * 147
= 2 * 2 * 3 * 3 * 49
= 2 * 2 * 3 * 3 * 7 * 7
[tex]\sqrt{1764} = \sqrt{2*2*3*3*7*7} = 2*3*7 = 42[/tex]
DJVJNNSMKAJABJSHSNSB
Wendy went to the salon and had 2 1/6 inches of hair cut off. The next day she went back
and asked for another 2 1/6 inches to be cut off. How much hair did she have cut off in all?
Write your answer as a fraction or as a whole or mixed number.
inches.
Answer:
4 1/3 of her hair
Step-by-step explanation:
Just add 2 1/6 + 2 1/6 and there you go
There is the total amount of her hair she cut
Describe how you can simplify division question such as 3,200 divided into 80
Answer:
40
Step-by-step explanation:
here
3200/80
1600/40
800/20
400/10
40
If all the books on a shelf with fewer than 45 books were put into piles of five books each, no books would remain. If the same book were put into piles of seven books each, two books would remain. What is the greatest number of books that could be on the shelf?
Answer:
Hence the greatest number of books that could be on the shelf is 30.
Step-by-step explanation:
Step 1:-
Here the given number of books is m,
m < 45.
If they are arranged into piles of five books, each no books would remain.
m is divisible by 5.
The last digit of m would be 5 or 0.
The same number of books, when arranged with piles of 7 books each, two books remain.
m-2 is divisible by 7.
Step 2:-
The last digit of m is 5 or 0.
m-2 will have the last digit 3 or 8.
Multiples of 7 are 7,14,21,28,35, 42;
among which only number 28 has the last digit 8 or 3.
m - 2 = 28
m = 30
The greatest number of books that could be on the shelf is 30.
ASAPPPPPPPPPPPPPPPPPPPPPPP P P P P P P P P P P P P P P P P P P P P
Answer:
5 trees per day
Step-by-step explanation:
Answer:
5 trees per day
Step-by-step explanation:
(1, 5)
(2,10)
the day increases by 1 and the trees increase by 5
A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost. Swim Lesson Packages Number of Lessons Total Cost 1 $10 5 $40 10 $80 15 $80 Which package is the best deal? 1 lesson for $10 5 lessons for $40 10 lessons for $80 15 lessons for $80
Answer:
15 lessons for $80.
Step-by-step explanation:
Johnny has 304 apples, his sister ate 301 of them. How many apples does he have? After His sister ate the apples a magic fairy multiplied the apples by 281893.21 times. Now how many apples does Johnny have. After the faity multiplied the apples a demon can and divided the apples by pi * the square root of 9284. Now how many apples does Johnny have?
Answer:
1. John still has 3 Apples
2. John now has 845679,63 Apples (I'm not sure if you've written the number of the multiplying fairy right...).
3. If the * is multiplying:
John now has 25937228,2 Apples.
Step-by-step explanation:
Just use the calculator.
Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.
Answer:
Therefore, the value of x is 5.
Step-by-step explanation:
We can match each equation to find the solutions.
[tex]8x-40=x^{2}-2x-15[/tex]
[tex]0=x^{2}-2x-8x-15+40[/tex]
[tex]x^{2}-10x+25=0[/tex]
Now, we need solve this quadratic equation.
[tex](x-5)^{2}=0[/tex]
Therefore, the value of x is 5.
I hope it helps you!
At a summer camp the campers can choose one of three programmes: camp craft, water sports or hiking. During the first week of camp the campers chose the programmes in the ratio 7:5:8. During the second week of camp the same number of campers chose the programmes in the ratio 7:6:4. Did more campers choose the camp craft programme in the first or second week? How many more?
Answer: Second week
Step-by-step explanation:
Given
In first week, campers choose programmes in the ratio of [tex]7:5:8[/tex]
In second week, this ratio becomes [tex]7:6:4[/tex]
Suppose 100 campers Joined the camp
Number of hikers who choose camp craft in first week are
[tex]\Rightarrow \dfrac{7}{7+5+8}\times 100=\dfrac{7}{20}\times 100\\\\\Rightarrow 35[/tex]
Number of hikers who choose camp craft in second week are
[tex]\Rightarrow \dfrac{7}{7+6+4}\times 100=\dfrac{7}{17}\times 100\\\\\Rightarrow 41.17\approx 41[/tex]
Therefore, in second week more campers take part in camp craft.
If 100 campers take part then, 6 more campers takes part in camp craft.
What are the solutions to the system of equations?
{y=2x²−6x+3
{y=x−2
Answer:
x = 1, y = −1
x = 5/2, y = 1/2
Step-by-step explanation:
From the question given above, the following data were obtained:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
We can obtain the solutions to the equation as follow:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
Substitute the value of y in equation 2 into equation 1
y = 2x² − 6x + 3
y = x − 2
2x² − 6x + 3 = x − 2
Rearrange
2x² − 6x − x + 3 + 2 = 0
2x² − 7x + 5 = 0
Solve by factorization
Obtain the product of 2x² and 5. The result is 10x².
Find two factors of 10x² such that their sum will result to −7x.
The factors are −2x and −5x.
Replace −7x in the equation above with −2x and −5x as shown below:
2x² − 2x − 5x + 5 = 0
2x(x − 1) − 5(x − 1) = 0
(x − 1)(2x − 5) = 0
x − 1 = 0 or 2x − 5 = 0
x = 1 or 2x = 5
x = 1 or x = 5/2
Substitute the value of x into equation 2 to obtain y
y = x − 2
x = 1
y = 1 − 2
y = −1
x = 5/2
y = x − 2
y = 5/2 − 2
y = (5 − 4)/2
y = 1/2
SUMMARY:
x = 1, y = −1
x = 5/2, y = 1/2
Rewrite the radical expression as an expression with rational exponents.
cube root of x to the power of 8
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x^8}=x^{\frac{8}{3}[/tex] The little number outside is called the index and that always serves as the denominator in the rational exponent. The power on the radicand (the radicand is whatever is inside the radical) serves as the numerator.
how many subsets can be formed of a set A={a,b}
Answer:
4
Step-by-step explanation:
(a,a),(a,b),(b,a),(b,b)
What is the surface area of a sphere with a diameter of 14 cm?
• 98pi cm squared
• 28pi cm squared
• 784pi cm squared
• 196pi cm squared
Answer: 196πcm²
Given
Diameter = 14
Radius = d/2
= 14/2
= 7
Surface area = 4πr²
Take π = 22/7
= 4×22/7×7×7
= 616 cm²
Must click thanks and mark brainliest
[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\purple{Formula \: \: Using \: = \: 4 \: \pi \: {r}^{2} }}}}}\end{gathered}[/tex]
r represents the radius of sphere.[tex]\bf \ \implies \: \: r \: = \: \frac{Diameter}{2} \\ [/tex]
[tex]\bf \ \implies \: \: r \: = \: \frac{14}{2} \\ [/tex]
[tex]\bf \ \implies \: \: r \: = \: \cancel\frac{14}{2} \: \: \large ^{7} \: \\ [/tex]
[tex]\bf \ \implies \: \: r \: = \: 7 \: cm[/tex]
Substuting the values in formula[tex]\bf \large \longrightarrow \: \: 4 \: \pi \: {r}^{2} [/tex]
[tex]\bf \large \longrightarrow \: \: 4 \: \times \: \pi \: \times {7} \: ^{2} [/tex]
[tex]\bf \large \longrightarrow \: \: 4 \: \times \: \pi \: \times 49[/tex]
[tex]\bf \large \longrightarrow \: \: 196 \: \pi \: {cm}^{2} [/tex]
Hence , the surface area of sphere is 196 π cm²
please finish this equation and write the answer
Given:
The equation is:
[tex]2540=\dfrac{22}{7}r^2(20)[/tex]
To find:
The solution for the given equation.
Solution:
We have,
[tex]2540=\dfrac{22}{7}r^2(20)[/tex]
It can be written as:
[tex]\dfrac{2540\times 7}{22\times 20}=r^2[/tex]
[tex]\dfrac{17780}{440}=r^2[/tex]
[tex]\dfrac{889}{22}=r^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{\dfrac{889}{22}}=r[/tex] [Radius cannot be negative]
[tex]r=6.3568145[/tex]
[tex]r\approx 6.36[/tex]
Therefore, the value of r is about 6.36 cm.
2a( 3a + b)- 3a(2a+4b)
Answer:
-10ab
STEP BY STEP EXPLANATION
2a (3a + b) -3a(2a +4b)
6a² + 2ab - 6a²- 12ab
2ab-12ab 6a²-6a²
-10ab
Hope this will help you if not then sorry :)
Answer:
[tex]2a( 3a + b)- 3a(2a+4b)[/tex]
Expand by distributing terms.
[tex]6a ^{2} +2ab-3a(2a+4b)[/tex]
Expand by distributing terms.
[tex]6a 2+2ab-(6a^{2} +12ab)[/tex]
Remove parentheses
.[tex]6a ^{2} +2ab-6a^{2} -12ab[/tex]
Collect like terms.
[tex](6a^{2}-6a^{2})+(2ab-12ab)[/tex]
[tex]=-10ab[/tex]
OAmalOHopeO
(ED. 21) Analytic Geometry Unit Test..... #3 Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?
Answer:
We want to find a solution of the system:
x^2 + y^2 > 49
y ≤ –x^2 – 4
Here we do not have any options, so let's try to find a general solution.
First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:
(x - a)^2 + (y - b)^2 = R^2
If we look at our first inequality, we can write it as:
x^2 + y^2 > 7^2
So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.
From the other equation, we would get:
y ≤ –x^2 – 4
This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.
Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.
You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:
by looking at the graph, we can see a lot of points that are solutions, like:
(0, -10)
(0, -15)
(2, -10)
etc.
Answer:
C on Edge or (1,-9)
Step-by-step explanation:
what is the value for f(x)4^2x -100 when x=2 ?
(the ^2x is a exponent)
Answer:
156
Step-by-step explanation:
f(x)= 4^(2x) -100
Let x =2
f(2)= 4^(2*2) -100
= 4^4 - 100
= 256 -100
= 156
PLEASE HELPPP
Which statement correctly compares the reading speed of Danika and Kevin?
A. Each hour, Kevin reads 10 fewer pages than Danika.
B. Each hour, Kevin reads 10 pages more than Danika.
C. Each hour, Kevin reads 5 fewer pages than Danika.
D. Each hour, Kevin reads 5 pages more than Danika.
Answer:
No.B is correct statement
find the missing side of the triangle
Answer:
7 sqrt(2) = c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
7^2 + 7^2 = x^2
49+49 = c^2
98 = c^2
Taking the square root of each side
sqrt(98) = sqrt(c^2)
sqrt(49*2) = c
7 sqrt(2) = c
Which expression is equivalent to 1/4y−1/2?
( ignore the highlighted answer i don’t know if it’s right or not)
Answer:
1/4( y -2)
Step-by-step explanation:
1/4 y -1/2
Rewriting
1/4 * 1 y - 1/4*2
Factor out the 1/4
1/4( y -2)
The growth rate of the sunflower from day 14 to day
35 is nearly constant. On this interval, which
of the
following equations best models
the height k in
centimeters, of the sunflower t days after it begins
to grow?
Answer:
sorry I don't know.....
Suppose triangle ABC is similar to triangle
PQR with AB:PQ = 5:9
What is the ratio of the area of ABC to PQR?
Answer:
[tex]( \frac{5}{9} ) ^{2} = \frac{25}{81} [/tex]
What is the measure of
Answer:
34
Step-by-step explanation:
Angle XYZ is an inscribed angle and arc XZ is the arc it intercepts
An inscribed angle is equal to half the measure of its intercepted arc
Hence Angle XYZ = half of arc XZ
If arc XZ = 68 then angle XYZ = half of 68
68/2=34
XYZ = 34
Add.
(-2+6x3 – 3x_) + (4x3 – 5 + x²)
Express the answer in standard form.
Enter your answer in the box.
solve the equation
[tex]log10 \: ( {x}^{2} - 4x + 7) = 2[/tex]
Answer:
x = 2 ±sqrt( 97)
Step-by-step explanation:
log10(x^2 -4x+7) =2
Raise each side to the base 10
10 ^ log10(x^2 -4x+7) =10^2
x^2 -4x +7 = 100
Subtract 7 from each side
x^2 -4x+7-7 = 100-7
x^2 -4x = 93
Complete the square
-4/2 = -2 (-2)^2 = 4
Add 4 to each side
x^2 -4x+4 = 93+4
(x-2)^2 = 97
Take the square root of each side
sqrt((x-2)^2 )=±sqrt( 97)
x-2 = ±sqrt( 97)
Add 2 to each side
x = 2 ±sqrt( 97)
What is the length of ST?
Answer:
14.49 inches......I think this help you.....I am not dam sure this is right or not....
For the function g(x)=2x-9 , determine x when g(x)=-15.
Answer:
-3
Step-by-step explanation:
Input -3 for x.
2*-3 - 9
then simplify.
SOMEONE HELP ME PLEASE
