One student starts with a 3-lb hand weight and increases the weight by 2 lb per
month. Another starts with a 5-lb hand weight and increases the weight by 1 lb
per month. For each student, write an equation that represents how much
weight y the student is lifting after x months.

Answer:

y=-x+pi/3+sqrt(3)/2

Step-by-step explanation:

*I assume you are asking for help on part a because the other question is a calculator question.*

We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.

First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)

Differentiate using chain rule:

y'=2cos(2x)

y' gives us the slope for any tangent along our curve.

So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.

We also need to know a point our line to find the equation of our line.

At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.

So a point on our line is (pi/3, sqrt(3)/2).

So by point-slope form of a line we have

y-y1=m(x-x1)

y-sqrt(3)/2=-1(x-pi/3)

Distribute:

y-sqrt(3)/2=-x+pi/3

Add sqrt(3)/2 on both sides:

y=-x+pi/3+sqrt(3)/2

Answer:

y= -x+(pi/3)+(sqrt3)/2

Step-by-step explanation:

The given is y=2sin(x)*cos(x)

to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get

y'=2(sin(x)*-sin(x)+cos(x)*cos(x))

this would simplify to be

y'=-2sin^2(x)+2cos^2(x)

We then substitute in the given x value to find the slope of the tangent line at that point and get

-2sin^2(pi/3)+2cos^2(pi/3)

which simplifies to

-2*3/4+2*1/4

which is -1

Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)

now we write the point slope form equation

y-(sqrt3)/2= -(x-pi/3)

y-(sqrt 3)/2 = -x+pi/3

y= -x+pi/3+(sqrt3)/2

you could simplify the last two terms, but I think it is simplest to understand this way.

For b, enter both equations into graphing software or a calculator

Answer:

less than

Step-by-step explanation:

314+175= 489 round that it would be 500 so it would be less than 600

Please mark me brainliest

Hello there!

The sum of 314 and 175 = 489.

If we round it, we will get 500.

500 is less than 600.

So the sum of 314+175 is less than 600.

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Answer:

7/9

Step-by-step explanation:

2+5=7

Denominator stays the same 9

So it's 7/9

Answer:

You sure bout that this is the answer

Step-by-step explanation:

2/9=0.2~ + 5/9=0.5~ =0.777777778 or 7/9

Answer:

C

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:a

Step-by-step explanation:

A

Answer:

1 7/8

Step-by-step explanation:

Answer:

[tex]\frac{T+z-2x}{3}[/tex]=y

Step-by-step explanation:

On solving for y we get -

[tex]$y=\frac{T-2x+z}{3}[/tex]

We have the following expression -

T = 2x + 3y - z

We have to solve for ' y '.

On solving, we get -

Sin([tex]2n\pi x[/tex]) = 0.785

Sin([tex]2n\pi x[/tex]) = Sin ([tex]\frac{\pi }{4}[/tex])

2n[tex]\pi[/tex]x = [tex]\frac{\pi }{4}[/tex]

x = [tex]\frac{1}{8n}[/tex]

According to the question, we have -

T = 2x + 3y - z

T - 2x + z = 3y

[tex]$y=\frac{T-2x+z}{3}[/tex]

Hence, on solving for y we get -

[tex]$y=\frac{T-2x+z}{3}[/tex]

To solve more questions on Rearranging expressions, visit the link below-

brainly.com/question/8864600

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Answer:

2,887.50

Step-by-step explanation:

First changing percent to decimal 175% - 1.75

I = 550 × 1.75 × 3 = 2,887.50

Answer:

-1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

(1,2)(4,1)

1-2 / 4-1

-1/3

Answer:

yes

Step-by-step explanation:

Well 3 is a factor of 15, and 10 a factor of 20. So 15/3 is 5, and 20/10 is 2.

5*2 is 10, which means that 15*20 is 10 times greater than 3*10.

If you actually did multiply them, 15 by 20 is 300 and 3 by 10 is 30. It would logically be correct.

Answer:

45 girls

Step-by-step explanation:

There is 4 more boys than girls in each ratio.

60 boys / 4 = 15 groups where there is more boys

3 (girls) x 15 groups = 45 girls in total

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The number of points at the end of second round is :

and if he loses all the 5 five points in the third round then the number of point he is left with is :

answer:

1) 271

2) 151

3) 169

4) 62

5) 90

Step-by-step explanation:

She earns $1046 that week

The correct answer is:   " [tex]\frac{33,611}{1,000}[/tex] " .

____________________

Step-by-step explanation:

Based on the assumption that the "1" repeats infinitely; in the given value:

  " 33.61111111 ...." ;

_______

Note that the "611" ; after the decimal point;  this goes to the "thousandths";  

place (is "3 (three) digits long.").

_______

As such; we rewrite the number as:

_______

" [tex]\frac{33.611}{1}[/tex] " ;  

and we multiply BOTH the "numerator" And the "denominator" by: "1000" :

_______

  →  " [tex]\frac{(33.611)*(1000)}{(1)*(1000)}[/tex] " ;

to get:

  →  " [tex]\frac{33611}{1000}[/tex] " ;  →  which cannot be reduced any further.

_______

The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .

_______

Hope this is helpful to you!

 Wishing you the best!

_______

Answer:

See explanation

Step-by-step explanation:

If we have a polynomial in x with x as a factor, we know that there will be no constant term. This arises because every term will be a multiple of x, and thus there will be know constant term.

Because there is a constant term in our polynomial, namely 1, x is not a factor of [tex]2x^3-x^2-2x+1[/tex], as desired.

Answer: You divide using polynomial long division or synthetic division and if the remainder is 0 then it is a factor.

Step-by-step explanation:

Answer:

[tex] - 3 \times \frac{3}{7 } [/tex]

Similar polygons will have proportional side lengths. So, let's check each of these using proportions and cross-multiplying.

Proportion: left rectangle length / left rectangle width = right rectangle length / right rectangle width

Top Left Rectangles: Proportional

6.4 / 5.6 = 1.6 / 1.4

8.96 = 8.96

Top Right Rectangles: Not Proportional

10.2 / 6.2 = 5.2 / 1.2

32.24 does not equal 12.24

Bottom Left Rectangles: Proportional

39 / 27 = 13 / 9

351 = 351

Bottom Right Rectangles: Not Proportional

64 / 36 = 8 / 6

288 does not equal 384

Hope this helps!! :)

Answer: 40

Step-by-step explanation:

15 / 37.5 x 100 = 40

Answer:

(13,-6)

Step-by-step explanation:

If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.

Apply this translation T to (4,7) and you get (13,-6).

Answer:

(13,  -6)

Step-by-step explanation:

Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:

[tex](x2 - x1, y2 - y1)[/tex]

Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:

[tex](6 - (-3), -8 - 5)\\(9, -13)[/tex]

So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.

To calculate the new translation of the new point, add the translation onto the given coordinates:

[tex]( 4 + 9, 7 + (-13) )\\(13, -6)[/tex]

So the new point is (13,  -6).

Hope this helps!

the difference in depth is 3 feet, you can find this by the equation 14-11

The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02

If the actual width of the caliper is represented as x

Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02

Learn more : https://brainly.com/question/15748955

Answer:

C

Step-by-step explanation:

1/4 is .25

4 fourths is 1. 4 times 7 equals 28 hamburgers. one half is two fourths. 28+2=30 hamburgers.

No of hamburgers she can make

[tex]\\ \sf\longmapsto 7\dfrac{1}{2}\div \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{2}\times \dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{60}{2}[/tex]

[tex]\\ \sf\longmapsto 30[/tex]

Answer:

the shorter man

Step-by-step explanation:

224 cm minus 174.21 = 49.79

49.79/5.56= approximately 9 standard deviations from the mean.

174.21 minus 97.8= 76.41

76.41/5.56= approximately 14 standard deviations from the mean.

bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.

Answer:

5 sections

Step-by-step explanation:

5 yards of fabric is cut in 1 yard long

1 yard +1 yard +1 yard +1 yard +1 yard = 5 yards

5 sections

Answer:

Mandy is making a bouqet of flowers. She goes to

Answer:

possible flower combinations can she choose from?

Step-by-step explanation:

possible flower combinations can she choose from?