Answer:
y=4 x=6
Step-by-step explanation:
you said asap do i dont have time to explain
A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds?
Rates of change are the change of a quantity over another.
The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
The given parameters are:
[tex]\mathbf{A = |5|}[/tex] -- the amplitude
[tex]\mathbf{T = \frac 13}[/tex] --- the period
The position of the mass is modeled by:
[tex]\mathbf{y= Acos(wt)}[/tex]
Where:
[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]
So, we have:
[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]
[tex]\mathbf{w = 6\pi }[/tex]
[tex]\mathbf{y= Acos(wt)}[/tex] becomes
[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]
[tex]\mathbf{y = 5cos(6\pi t)}[/tex]
Differentiate
[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]
[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]
When t = 2.1, we have:
[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]
[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]
[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]
[tex]\mathbf{y' = -89.6296}[/tex]
Approximate
[tex]\mathbf{y' = -89.6}[/tex]
Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
Read more about rates at:
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Jaya is saving up for a computer.she babysits 3 days a week .however she spends $2 each day on gas to get there . If she makes a total of $84.00 in a week how much does she make babysitting each day
Answer:
28$
Step-by-step explanation:
She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.
What is m<M?
no links please!!!!
Answer:
m<M is 98°............
The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?
A) $3.00
B) $21.00
C) $45.00
D) $90.00
Guinea made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guinea use to find the length of side B?
Answer:
The answer is c: 1cm/3in = 3 cm/Xin
Step-by-step explanation:
i need serious help guys!!!!!!
Answer:
b.
Step-by-step explanation:
The dimension of a cube are 3 x cm, 6xm 7xm. Then find the volume of the cube.
Answer:ce 6x^2=216
Step-by-step explanation:
since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216
Which is greater 1.44 or 1.2544
Answer:
1.44
Step-by-step explanation:
Answer:
1.2544
Step-by-step explanation:
It is closer to 1 than the latter.
Please provide the answer for the x and z as seen in the image
There are 75 students enrolled in a camp. The day before the camp begins, 8% of the students cancel. How many students actually attend the camp?
Answer:
Answer=69
Step-by-step explanation:
8% of 75=6
75-6=69
Como parte de un ejercicio topográfico, Salma debe hacer un registro del terreno donde está construido el Taj Mahal que es de 580m de largo x 300m de ancho. Y suponiendo que 9 ayudantes trabajarán junto con ella, ¿cuántos metros cuadrados le toca registrar a cada quién POR DÍA durante un mes? Supongamos que el mes tiene 30 días.
cual es la respuesta? porfa urge
Queremos ver cuantos metros cuadrados debe registrar cada integrante del grupo por día.
Veremos que cada integrante debe registrar 580m^2 por día.
La informacion que se nos da es:
Sabemos que los integrantes son 10, Salma y sus 9 ayudantes.El área que deben investigar esta dada por: 580m*300m = 174,000 m^2Disponen de un total de 30 días para trabajar.Conociendo el área y el número de integrantes, el área que le tocara a cada integrante está dada por:
a = 174,000 m^2/10 = 17,400 m^2
Y sabemos que tendran 30 días para registrar esa área, entonces asumiendo que en cada día registran una cantidad fija de superficie, lo que deben registrar cada día está dado por:
d = a/30 = 17,400 m^2/30 = 580m^2
Eso es lo que cada integrante debe registrar por día,
Sí quieres aprender más, puedes leer:
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You should know the __________ and ___________ of all safety equipment.
PLS HELP ME!!!!
The square root of the sum of 69 and 31 is an/a_____?
A.Rational Number
B.Irrational Number
C.Both rational and irrational
D.Neither rational nor irrational
Answer:
A. Rational number
Step-by-step explanation:
If you add both 69 and 31 it will give you 100. The square root of 100 is 10 and therefore it is a rational number
x²+10+7=0 by completing the square
Answer:
x=−5+3–√2
x=−5−3–√2
Step-by-step explanation:
h(x)=3x+3 g(x)=-4x+1 find (h+g)(10)
Answer:
-6
Step-by-step explanation:
h(x)=3x+3
g(x)=-4x+1
(h+g)(x) = 3x+3 -4x+1 = -x+4
(h+g)(10) = -(10)+4 =-6
Graph the linear equation y = -2x -1
(hope this helps) :)
Step-by-step explanation: in the picture
please give me a brainliest answer
PLS PLS PLS HELP ME!??(
Answer:
I asked this same question and I got this answer
Step-by-step explanation:
g (x) = 2x7x24 = 336
I'm not sure bc I asked the same question and got this answer from someone...
[tex]\sf 19=7x-2x[/tex]
Answer:
[tex]3\dfrac{4}{5}[/tex]
Step-by-step explanation:
19 = 7x - 2x
19 = (7 - 2)x
19 = 5x
Divide both side by 5
19/5 = x
[tex]x=3\dfrac{4}{5}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of x is equal to ~
[tex] \boxed{3.8}[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex]19 = 7x - 2x[/tex][tex]5x = 19[/tex][tex]x = 19 \div 5[/tex][tex]x = 3.8[/tex]I need a answer PLEASE
Answer:
it's the third one. x=47/3
Step-by-step explanation:
if needed in decimal form: 15.666
mixed number form: 15 2/3
If the length of overline AC equals 84, what is the length of the midsegment overline DE ?
A) 28
B) 32
C) 36
D) 42
Similar shapes may or may not be congruent
The length of DE is 42 units
The given parameters are:
[tex]\mathbf{AC = 84}[/tex]
[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint
The equivalent ratio is then represented as:
[tex]\mathbf{BD : DE = BA : AC}[/tex]
Substitute [tex]\mathbf{BA = 2BD}[/tex]
[tex]\mathbf{BD : DE = 2BD : AC}[/tex]
Express as fraction
[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]
Make DE the subject
[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]
[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]
Substitute 84 for AC
[tex]\mathbf{DE= \frac{84}{2 }}[/tex]
[tex]\mathbf{DE= 42}[/tex]
Hence, the length of DE is 42 units
Read more about similar shapes at:
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Plzzzz I need Helpppp!!!
Answer:
(8x+15)=(7x+17){ being alternative angle}
8x+15=7x+17
8x-7x=17-15
x=2
here,
8x+15= 8×2+15
16+15=31
7x+17
7×2+17
14+17
31
again
(8x+15)+y=180°( being straight angle)
31+y=180
y=180-31
y= 149
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
In the given figure, Angles (8x + 15) and (7x + 17) are equal
because they form pair of Alternate interior angles.
[tex]8x + 15 = 7x + 17[/tex][tex]8x - 7x = 17 - 15[/tex][tex]x = 2[/tex]So,
[tex]8x + 15[/tex][tex]( 8\times 2) + 15[/tex][tex]16 + 15[/tex][tex]31 \degree[/tex]now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°
[tex](8x + 15) + y = 180[/tex][tex]31 + y = 180[/tex][tex]y = 180 - 31[/tex][tex]y = 149 \degree[/tex]which is colder -3°c or -2°c
Answer:
-2 is colder
Step-by-step explanation:
Becuase when you get to the negative the Closest number to 0 is greater which means -2 is closer to 0 which makes it colder.
(Hope this helps can I pls have brainlist (crown)☺️)
347.9 to the nearest whole number
Answer:
348.
Step-by-step explanation:
solve please :3 will mark brainliest !!
__________
[tex] \: [/tex]
6f = $15
8f = $20
10f = ?
Soo :
2f = 5
f = 2,5
10f = 10(2,5) = $25✔
The cost of the wire of the third length in the table is, 25 dollars
We have to give that,
The cost of a certain type of wire varies directly with its length.
Now, From the table the equation between cost and length is,
y - 15 = (20 - 15)/(8 - 6) (x - 6)
y - 15 = (5/2) (x - 6)
y - 15 = 2.5x - 15
y = 2.5x
Where y represents the cost and x represent the length.
Hence, At x = 10 feet
y = 2.5 (10)
y = 25 dollars
So, The cost of the wire is, 25 dollars
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What is the value of this??
Answer:
[tex]18[/tex]
Step-by-step explanation:
The value of 7 (10 - 2³) + 8 ÷ 2 is 18.
[tex]7(10 - {2}^{3} ) + 8 \div 2 [/tex][tex]7(10(2 \times 2 \times 2)) + 8 \div2[/tex][tex]7(10 - 8) + 8 \div 2[/tex][tex]7 \times 2 + 8 \div 2[/tex][tex]14 + 4[/tex][tex]18[/tex]Hope it is helpful.....((((40 - -30) x (20 +15 - -2))+14)/2)-40
100 points pls help
Step-by-step explanation:
1262 enjoy brainliest appreciated
please please please help PLEASE PLEASE
Step-by-step explanation:
refer to the picture.. hope this helps :)
Challenge A large university accepts 40% of the students who apply. Of the students the
university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
4,800 student's actually enroll.
Step-by-step explanation:
40% of 30,000 is 12,000.
40% of 12,000 is 4,800.
So, if the average family earned $4,000 per month, how much would they send back
out to pay debreach month
What kinds of things could you do with that money?
Please help meh i dont know the answer
Answer:
3 inches
Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.
A square also have the same length for all 4 sides.
So each side of the square is 6cm, to find the perimeter you do 6*4=24.
then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8
so each side of the triangle will be 8cm