(a) Given the position function
x(t) = (B m/s²) t² + 5 m
it's clear that the object accelerates at B m/s² (differentiate x(t) twice with respect to t), so that the force exerted on the object is
F(t) = (2 kg) (B m/s²) = 2B N
(b) Recall the work-energy theorem: the total work performed on an object is equal to the change in the object's kinetic energy. The object is displaced by
∆x = x(5 s) - x(0 s)
∆x = ((B m/s²) (5 s)² + 5 m) - ((B m/s²) (0 s)² + 5 m)
∆x = 25B m
Then the work W performed by F (provided there are no other forces acting in the direction of the object's motion) is
W = (2B N) (25B m) = 50B² J = 200 J
Solve for B :
50B² = 200
B² = 4
B = ± √4 = ± 2
Since the change in kinetic energy and hence work performed by F is positive, the sign of B must also be positive, so B = 2 and the object accelerates at 2 m/s².
(c) We found in part (b) that the object is displaced 25B m, and with B = 2 that comes out to ∆x = 50 m.
i have 100 points
i need some help!!
Answer:
Option D: [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]
Step-by-step explanation:
GIven the following inequality statement:
[tex]\displaystyle\mathsf{7x\:+\:6\:\geq \:\frac{-x}{2}}[/tex]
Start by eliminating the fraction on the right-hand side.
Multiply both sides of the inequality statement by 2:
[tex]\displaystyle\mathsf{2(7x\:+\:6)\:\geq \:\bigg[\frac{-x}{2}\bigg](2)}[/tex]
2(7x + 6) ≥ -x
Next, distribute 2 into the terms inside the parenthesis:
14x + 12 ≥ -x
Subtract 12 from both sides:
14x + 12 - 12 ≥ -x - 12
14x ≥ -x - 12
Add x to both sides:
14x + x ≥ -x + x - 12
15x ≥ - 12
Divide both sides by 15 to isolate x:
[tex]\displaystyle\mathsf{\frac{15x}{15}\:=\:\frac{-12}{15}}[/tex]
[tex]\displaystyle\mathsf{x\geq -\frac{4}{5}}[/tex] or [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]
Therefore, the correct answer is Option D: [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]
The answer to this question?
Answer:
1. 59 2.90 4.31 3. Sorry I dunno
Step-by-step explanation:
1. the 59 degrees is the same.
2. It's a perfect angle
3. Sorry
4.180-90-59=31
[tex]\sqrt[3]{y} (7\sqrt[3]{8y^2}-\sqrt[3]{y^5} -4y\sqrt[3]{27y^2}[/tex] simplify
Answer:
[tex]\huge\boxed{-y^2+2y}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]y\cdot\left(7\sqrt[3]{8y^2}-\sqrt[3]{y^5}-4y\sqrt[3]{27y^2}\right)\\\\=(\sqrt[3]y)(7\sqrt[3]{8y^2})-(\sqrt[3]y)(\sqrt[3]{y^5})-(\sqrt[3]y)(4y\sqrt[3]{27y^2})\\\\=7\sqrt[3]{(y)(8y^2)}}-\sqrt[3]{(y)(y^5)}-4y\sqrt[3]{(y)(27y^2)}\\\\=7\sqrt{8y^3}-\sqrt{y^6}-4\sqrt{27y^3}\\\\=7\sqrt[3]{2^3y^3}-\sqrt{y^{2\cdot3}}-4\sqrt{3^3y^3}\\\\=7\sqrt[3]{(2y)^3}-\sqrt{(y^2)^3}-4\sqrt{(3y)^3}\\\\=7\cdot2y-y^2-4\cdot3y\\\\=14y-y^2-12y\\\\=-y^2+2y[/tex]
Used:
[tex]a(a+b)=ab+ac\\\\\sqrt[3]{a\cdot b}=\sqrt[3]a\cdot\sqrt[3]b\\\\\sqrt[3]{a^3}=a\\\\(a^n)^m=a^{n\cdot m}[/tex]
Factorise fully 2x2 – 8x
[tex]2x^2-8x=2x(x-4)[/tex]
Answer:
2x ( x - 4)
Hope that helps?
A recipe to make 5 cupcakes calls for 10 tablespoons
of sugar. Alicia wants to make 10 cupcakes using this
recipe. What equation will she need to use to find out
how many tablespoons of sugar to use?
Answer:
10×5
Step-by-step explanation:
put a zero at the end of five and make it 50
-6+ (-19) =
Evaluate
[tex]\begin{gathered}\begin{gathered} \small \colorbox{grey}{\color{lightgreen}{✓\sf \,\:\,Verified \, Answer}[/tex]
Answer: ooo ok i got it. it is nice
Question 8 of 25
An English teacher has equal numbers of fiction, literature,
and poetry books. Each day, she randomly selects one book
to read from. She designs a simulation to estimate the
probability that the next three books she selects are all
literature.
Which simulation design could she use to estimate the
probability?
The simulation design could she use to estimate the probability is
Number cube
Let 1, 6 = literature
Let 2, 5 = fiction
Let 3, 4 = poetry
Roll the cube three times. Repeat.
What is simulation?Simulation is the process of creating a model or representation of a real-world system or process and conducting experiments with the model to observe how it behaves or performs under different conditions.
We have,
This simulation design assigns each book in the teacher's collection a unique number from 1 to 6, with literature books assigned the numbers 1 and 6, fiction books assigned the numbers 2 and 5, and poetry books assigned the numbers 3 and 4.
Rolling a number cube simulates the teacher randomly selecting a book each day, and repeating this process three times allows for the estimation of the probability that three consecutive selections will be literature books.
This simulation design is appropriate because it accurately represents the probabilities of selecting literature, fiction, and poetry books from the teacher's collection and allows for repetition to simulate multiple days of book selections.
Thus,
The simulation design could she use to estimate the probability is
Number cube
Let 1, 6 = literature
Let 2, 5 = fiction
Let 3, 4 = poetry
Roll the cube three times. Repeat.
Learn more about simulations here:
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please help
step bu step
Answer:
what ang hirap nmn anong grade ka na ba
please help me with math.
Answer:
Invalid
Step-by-step explanation:
This is invalid because you don't have to go some were to love something.
Answer:
Invalid
Step-by-step explanation:
All graduates love football;
This means all people who are graduates will love the football, it tells us nothing at all about people who are not graduates;
These people may love football or they may not;
Tom loves the football, thats all we are told;
He could, therefore, fall into either category, being a graduate since all graduates love the football or not being a graduate, since these might also love the football.
PLEASE HELP WILL MARK BRAINLIEST!
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf \sqrt{ {x}^{3} } [/tex][tex] \sf { ({x}^{3} ) }^{ \frac{1}{2} } [/tex][tex] \sf (x ){}^{3 \times \frac{1}{2 }} [/tex][tex] \sf{x {}^{ \frac{3}{2} } }[/tex]Hence, the required power in fractional form is ~
[tex] \sf \frac{3}{2} [/tex]Which description best describes the association between variables x and y?
picture is below
Answer:
The dots have a weak positive correlation.
Step-by-step explanation:
The values on the graph, or dots, are generally going upwards, meaning they are positive. If they were generally going downwards, or from the top left to bottom right, they would be negative.
The values are not tightly packed together. If they were, they would have a strong positive correlation. Instead, they are loosely around each other. But because they are not completely random all over the graph, the correlation is weak.
Hence, the values on the graph have a weak and positive correlation.
can’t figure it out, need help
Answer: 74+39=113. So the answer is 113
a fancy beaded bracelet requires 3 and 1/4 in of string for everyone in of the length of the bracelet if you were to make a bracelet that is 7 1/2 in long how much string would you need
Answer:
I'm going to call the length of the bracelet the number of times you have to add to get back to the first bead. This is the same as the number of beads, except in one case:
The shortest bracelet has length 1 and starts with (0,0). If you add one time, you get back to the first 0. But the bracelet has two beads. (Every bracelet has to have at least two beads to start.)
The next shortest bracelet starts with (0,5), and has length 3:
0 5 5
There is a bracelet of length 4 that starts with (2,6) (the first example on the main page):
2 6 8 4
There is a bracelet of length 12 that starts with (1,3) (the second example on the main page):
1 3 4 7 1 8 9 7 6 3 9 2
There is a bracelet of length 20 that starts with (0,4)
0 4 4 8 2 0 2 2 4 6 0 6 6 2 8 0 8 8 6 4
There is a bracelet of length 60 that starts with (0,1)
(I'll let you have the fun of writing all the beads.)
Step-by-step explanation:
Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?
By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.
So we have a 5-digit number, let's say that it is:
abcde
Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).
We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).
Let's assume that the first digit at which we assign its value is this, e, the last one.
For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}
4 of these options are even numbers.
So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:
P = 4/9
Now the other four digits can be anything (even or odd), so we only care for the probability above.
If you want to learn more about probability, you can read:
https://brainly.com/question/23044118
Help please, ill give 5 stars, and brainly ofc (if correct)
Answer:
Step-by-step explanation:
part a = 1 x 4
part b = b
Answer:
y=2x+25
the graph is B.
Step-by-step explanation:
The distances between the bull's-eye of a target and 100 darts thrown by an expert
The rectangular prism shown is formed by six intersecting planes.
Where do the planes ABFE and EFGH intersect
Answer:
Line EF
Step-by-step explanation:
Planes intersect at lines
The planes ABFE and EFGH intersected by line EF.
What is Prism?A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.
We have cuboidal prism which have faces ABFE and EFGH.
To find the point for intersecting we have to find a point or line which is common in both planes.
Here the point E and F are common.
But the plane EF is also common
Thus, the intersecting line is line EF.
Learn more about Prism here:
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Lumber pieces that are 1 1/2 inches thick are being piled in the bed of a truck. The bed rests at a height of 36 inches and the crew has been instructed to make sure the height of the pieces above the ground does not exceed 7 feet. What is the greatest number of pieces of lumber that can be placed in a stack ? can someone please answer <33
Answer:
Step-by-step explanation:
36 inches = 3 ft
max height of lumber stack is 7 - 3 = 4 ft.
4 ft = 48 inches
48 inch / 1.5 inch/board = 32 boards
what two numbers multiply to -36 and adds to 1?
Equation 2
T
.
X
-
Show
2(4k + 3) - 13 = 2(18 – k) - 13
Answer:
Step-by-step
= 2 ( 1 8 − ) − 1 3 -13=2(18-k)-138 + 6 − 1 3
= 2 ( 1 8 − ) − 1 3
How do I Subtract fractions! Please explain step by step to get marked
Answer:
1) Make sure the bottom numbers (the denominators) are the same.
2) Subtract the top numbers (the numerators). Put the answer over the same denominator.
3) Simplify the fraction (if needed).
Step-by-step explanation:
Hope this helps!
a ratio of two measurements having different units of measure IS ONE
STEP EQUATION
true
false
The statement that a ratio of two measurements having different units of measure IS ONE is false
Ratios are used to relate measurements of different quantities.
The measures of the quantities may or may not be one (1).
When the second quantity has a measure of one, then the ratio is called a unit rate.
So, the quantities may be one, but it is not a requirement that the measure of one or both quantities be one.
Hence, the statement is false
Read more about ratios at:
https://brainly.com/question/14341008
combine like terms (3x-2y+z)+(5z-8x-5y)+(-15x+8z)
Answer:
−20−7+14
Step-by-step explanation:
This table shows the median age of
women who were first married in different
years. During which time interval did the
age increase at the greatest rate? What
was the rate of increase for that interval?
Year
1950 1980 1990 1995
2000
Age
20.3
22.0
23.9
24.5
25.1
(yr)
Answer:
1950-1980
Step-by-step explanation:
...........
What is the sales tax on a jacket priced at $275 if the sales tax rate is 7%?
the lcm of 5 and 8 is??
emma has 63 pencils noah has 49 penecils and michel has 77 pencils.Use the GCF and the distributive property to find the total number of pencils
Step-by-step explanation:
the greatest common factor (GCF) is 7.
it is 9×7, 7×7 and 11×7.
so the total number of pencils is
7×(9 + 7 + 11) = 7×27 = 189
Kangaroo hops 2 kilometers in 3 minutes how long does it take the kangaroo to travel 5 kilometers
Answer:
7.5minutes
Step-by-step explanation:
If it travels 2kilometers every 3 min, that means it travels 2/3 kilometer per minute. Then divide 5 kilometers by 2/3kilometers/min, which gets you 7.5minutes
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
Answer:
See below
Step-by-step explanation:
W (-1, 0) W' (-2, 0)
X (2, 2) X' (4, 4)
Y (2, -1) Y' (4, -2)
Plot these 3 points on the graph.