Answer:
1) The velocity at this time is of [tex]-9\frac{\sqrt{3}}{2}[/tex] meters per second.
2) The velocity at this time is of [tex]13\frac{\sqrt{2}}{2}[/tex] meters per second.
Step-by-step explanation:
This question involves concepts of derivatives.
The velocity is the derivative of the position.
We use these following derivatives:
[tex](\sin{x})^{\prime} = \cos{x}[/tex]
[tex](\cos{x})^{\prime} = -\sin{x}[/tex]
1) s = 1 + 9(cos t)
Find the body's speed at time t=pi/3 sec.
We have to find the derivative at [tex]t = \frac{\pi}{3}[/tex]. So
[tex]v = (1 + 9\cos{t})^{\prime} = -9\sin{t}[/tex]
[tex]v(\frac{\pi}{3}) = -9\sin{\frac{\pi}{3}}[/tex]
[tex]\frac{\pi}{3}[/tex] is a common angle, which has a sine of [tex]\frac{\sqrt{3}}{2}[/tex]. So
[tex]-9\sin{\frac{\pi}{3}} = -9\frac{\sqrt{3}}{2}[/tex]
The velocity at this time is of [tex]-9\frac{\sqrt{3}}{2}[/tex] meters per second.
2) s = 12(sin t) - (cos t)
Find the body's velocity at time t=pi/4 sec.
We have to find the derivative at [tex]t = \frac{\pi}{4}[/tex]. So
[tex]v = (12\sin{t} - \cos{t})^{\prime} = 12\cos{t} + \sin{t}[/tex]
[tex]\frac{\pi}{4}[/tex] is a common angle, which has both sine and cosine of [tex]\frac{\sqrt{2}}{2}[/tex]. So
[tex]12\cos{\frac{\pi}{4}} + \sin{\frac{\pi}{4}} = 12\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} = 13\frac{\sqrt{2}}{2}[/tex]
The velocity at this time is of [tex]13\frac{\sqrt{2}}{2}[/tex] meters per second.
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST ANSWER NO TROLLS
Answer:the X factor is 7
Step-by-step explanation:
Which description could be written as a linear function?
a
eight more than twice a number
b
nine more than one divided by a number
c
ten more than the square of a number
d
three more than the product of two numbers
Answer:
a
Step-by-step explanation:
because it is more then eight numbers
Students entering a medical program to become doctors are required to stay on campus from 8:00AM to 4:30PM. Today, they have forty-five minutes for lunch. Each student has a choice of eating lunch in a room where music is playing or a room where a television is on. For lunch, they have an option of pizza, hamburger, spaghetti, or chicken. What is the probability of choosing the television room with a hamburger?
A. 1/8
B. 1/4
C. 2/3
D. 1/6
Answer:d
Step-by-step explanation:
Count all the options and put that as the bottom number which is 6
what is 2 divided by 4 (3+8x + 5y) x7?
Answer:
89.6
Step-by-step explanation:
2 divided by 4 = 0.5
0.5 x 3 = 3.5
3.5+ 8=12.3
12.3 + 5 = 12.8
12.8 x 7= 89.6
Pls help me I’m failing
Answer
wait whay to help u on?
Step-by-step explanation:
(8y ^ 2)/(2 * root(4, y))
The value of the expression will be;
⇒ [tex]4 y^{\frac{7}{4} }[/tex]
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 8y² / 2 ⁴√y
Now,
Since, The expression is,
⇒ 8y² / 2 ⁴√y
Simplify as;
⇒ [tex]\frac{8y^2}{2\sqrt[4]{y} }[/tex]
⇒ [tex]4 y^{2- \frac{1}{4} }[/tex]
⇒ [tex]4 y^{\frac{7}{4} }[/tex]
Thus, The value of the expression = [tex]4 y^{\frac{7}{4} }[/tex]
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Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
It looks like it's C. side a is 1.5 inches long, side b is 2 inches long, and side c is 2.5 inches long.
"A previous representative told me that I would receive a 17% discount on my $123.76 service plan. How much is the discount?"
Answer:
$21.04
Step-by-step explanation:
The computation of the discount is as follows:
Discount is
= Service plan amount × discount percentage
= $123.76 × 17%
= $21.04
We simply multiplied the service plan amount with the discount percentage so that the discount amount could come
HELP PLEASE WILL GIVE BRAINLIEST!
Answer:
So easy
Step-by-step explanation
on the y axis put -5 and then for x axis put -6
Answer:
(2,0) and (4,0)
Step-by-step explanation:
The roots are the values of x for which y = 0, or where the graph crosses the x-axis. (2,0) and (4,0)
HELLPP PLEASE MY TEACHER KEEPS ASKING FOR ANSWER LOL IM SORRY I DONT HAVE MUCH POINTS :(
Answer:
-1/6
Step-by-step explanation:
Multiply numerators and denominators
4*3
9*6
You get -12/72
Simplify
Divide 12 by both numbers
You get -1/6
Answer:
[tex] - \frac{1}{6} [/tex]
Step-by-step explanation:
Multiplying a positive and a negative equals a negative: ( + ) × ( - ) = ( - )
[tex] - \frac{4}{9} \times \frac{3}{8} [/tex]
Reduce the number with the greatest common factor 4:
[tex] - \frac{1}{9} \times \frac{3}{2} [/tex]
Reduce the number with the greatest common factor 3:
[tex] - \frac{1}{3} \times \frac{1}{2} [/tex]
Multiplying the fractions:
[tex]1 \times 1 = 1 \\ 3 \times 2 = 6[/tex]
Therefore, the answer will be - 1/6.
Simplify the ratio ASAP answer both promblem
Answer:
1) 1/3
2) 4:1
Step-by-step explanation:
Answer:
1 is 33.33 and 2is 1/4 hope this helps
A can of dog food is on sale for 20% off the original price if the price is $1.35 what’s the discount
Answer:
Canned dog food is on sale for 20% off the original price. What is the discount of a can if the original price is $1.35
Discount is 20% of original price
Discount=20% * Original Price
=0.20*1.35
Discount=$0.27
Answer to this brain teaser:-
Answer:
18
Step-by-step explanation:
Answer:
The answer is simple if you use the rule of division.
If you look at the first one you’ll see 3 CPU things. The answer comes out to 12. In order to find the value of it. Just do 27 divided by 3 which should give you 9. So now we know that CPU = 9/each
Records = 5/each
I’m not sure what the 3rd object is but...
3rd object = 4
So now we should have
9 + 4 x 5
Simplified: 13 x 5
Final Answer = 65
There you go
Step-by-step explanation:
Which wave has the HIGHEST frequency in ONE second
The answer to this question please
Answer:
the answer is 15
Step-by-step explanation:
sorry if wrong
if right can i get a brainliest
give guy under me a branliest
Answer:
X = 15
Step-by-step explanation:
the angle opposite to 4x is equal to 60. since they're both supposed to be equal, I divided 60 by 4, which is how I got 15
If triangle GFE is similar to triangle CBE, find FE. Type only the number in
the answer box.
Answer: 9
Step-by-step explanation:
The value of x from the given figure is 17 units.
Given that, triangle GFE is similar to triangle CBE.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Here,
GE/EB = FE/EC
⇒ 60/(x+5) = (4x-1)/24
⇒ (x+5)×(4x-1)=24×60
⇒ 4x²+20x-x-5=1440
⇒ 4x²+19x-1445=0
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x=(−19±3√2609)/8
Decimal Form:
x=16.77938918…, -21.52938918…
x=17
Therefore, the value of x from the given figure is 17 units.
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Members of a baseball team raised $1611.75 to go to a tournament. They rented a bus
for $791.50 and budgeted $48.25 per player for meals. Write and solve an equation
which can be used to determine x, the number of players the team can bring to the
tournament.
Answer:
(1611.75 - 791.50) ÷ 48.25 = x
(820.25) ÷ 48.25 = x
17 = x
1611.75 - 791.50 = 820.25
830.25 ÷ 48.25 = 17
so there are 17 players the team can bring
Answer:
Equation: 48.25x +791.5 =1611.75
Answer: x=17
Regina writes the expression y + 9 ● 3 / 4 Which expression is equivalent to the one Regina writes?
Answer:
so you do 4 times 9 and 3 and they add them to whatever y is
Step-by-step explanation:
Answer:
hello! its (9 x 3 divided by 4) + y
Step-by-step explanation:
yw lol
NEED HELP MY DUDES !!!!
Answer:
i don't have the answer but you can use the Pythagorean theorem to solve it when you know the hypotenuse and the angle. a2+b2=c2
Step-by-step explanation:
Some-one else posted this as a comment I just wanted it to be seen
10 The ratio of boys to girls on a bus is 4 to 5. If 1 girl and
2 boys get off the bus, what will be the ratio of boys to
girls on the bus?
Answer:
F
Step-by-step explanation:
is the answer because when u solve u get that answer u get your ratio and then multiply and divide that's how u get your answer
The ratio of boys to girls on the bus is 1/2
Given that the ratio of boys to girls on a bus is 4 to 5, this can be written as 4:5
Ratio = boys/girls = 4/5If 1 girl and 2 boys get off the bus, the number of boys to girls will be (4-2):(5-1)
New ratio of boys to girls will be expressed as 2:4New ratio = 2/4 = 1/2Hence the ratio of boys to girls on the bus is 1/2
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How do you prepare for a math test? Explain the steps you take
help me
Answer:
1.) review over your notes that you took over the unit
2.) If there is anything you still have a question about ask you teacher, parents, or people on brainly
3.) eat a snack
4.) review your notes again
5.) start the test
Step-by-step explanation:
(thats what i usually do)
Answer:
Step-by-step explanation:
I usually go through my homework and classwork, and write down any problems i dont understand, get help then solve them
write / explain key words that i might need to know
gather any notes that i have from class
i would use all of this for the test.
If ur not allowed to use anything for the test, then do the same thing maybe 2-3 days b4 the test and study everything til u have most of it memorized.
Hope this Helps!!!
A plumber is replacing a pipe in a kitchen. The old pipe
is 7.43 inches long. The plumber has a new pipe that is 10 inches long. How much does he need to cut off of the new pipe to make it fit?
The length to cut-off is 2.57 inches
How to determine the length to cut-off?The given parameters are:
Available length = 10 inches
Length needed = 7.43 inches
The length to cut off is calculated as:
Length = Available length - Length needed
So, we have:
Length = 10 inches - 7.43 inches
Evaluate the difference
Length = 2.57 inches
Hence, the length to cut-off is 2.57 inches
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Add, subtract, multiply, or divide these numbers to get a result equal to 51
8,5,6,7
43 out of 57 to a percentage
Answer:
75%
Step-by-step explanation:
purr
In kite ABCD, BE = –x + 6 and ED = 0.5x. Determine the value of x in the kite shown.
Question 5 options:
A) x = –12
B) x = –3
C) x = 4
D) x = 9
Step-by-step explanation:
According to the property in kite abcd ac divides bd in two equal halves.
So, from that BE = DE
[tex] - x + 6 = 0.5x[/tex]
[tex]6 = 0.5x + x[/tex]
[tex]6 = 1.5x[/tex]
[tex]x = \frac{6}{1.5} [/tex]
[tex]x = 4[/tex]
Hope this helps u.
^_^❤️
Find two integers whose sum is -12 and product is 35
Answer:
-7 and -5
Step-by-step explanation:
-7 and -5 added together are -12, and their product is 35.
POLS HELP ME NOWWWW I DONT UNDERSTAND IT
Answer:
B
Step-by-step explanation:
using the equation 'y = 12x', if you plug in zero for 'x' you get zero for 'y'; the only graph that has the point (0, 0) is (b)
also, the x-axis represents time so, as time increases, so does the number of calories burned (which is measured on the y-axis) -- not staying flat or decreasing
Jack's bank statement shows a debt of $25. Sort the account balances to show which are greater than Jack's debt
and which are less than Jack's debt.
Account balance 530
Greater than Jack's Debt
Less than Jack's Debt
Account balance $30
Account balance: $15
Account balance 310
Account balance 550
Account balance 55
Answer:
It's in the picture below!
Please help me answer this
Answer:
which one
Step-by-step explanation:
which one do you need help with
Reasoning Kareem cannot decide which of two washing machines to buy. The selling price of each
is $650. The first is marked down by 50%. The second is marked down by 20% with an additional
30% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem
should buy the first washing machine rather than the second if the machines are the same except for
the selling price.
The sale price of the first washing machine is $
(Round to the nearest dollar as needed.)
Enter your answer in the answer box and then click Check Answer
Answer:
need more points to do this
Step-by-step explanation: