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ra1l [238]
3 years ago
11

3 sin(x) + 3 = sin(x)

Mathematics
1 answer:
kumpel [21]3 years ago
8 0

Answer:

no solution

Step-by-step explanation:

3 sin x+3=sin x

3 sin x-sin x=-3

2 sin x=-3

sin x=-3/2

which is impossible as |sin x|≤ 1

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There were 99 tulips in the field. Only 3/9 bloomed. How many tulips bloomed? How many did not bloom?
Ratling [72]

Answer: 33 tulips bloomed / 66 tulips did not bloom

Step-by-step explanation:

<h2>Given:</h2>

Total number of tulips = 99

Total number of tulips bloomed = 3/9 of total

<h2>Solve:</h2>

Step One: Find the number of tulips that bloomed

99 × (3/9) = 99 × (1/3) = 33 tulips

Step Two: Find the number of tulips that did not bloom

99 - 33 = 66 tulips

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
I need help this is so confusing
Gre4nikov [31]
Point c is quadrant 2,point T is quadrant 1,point R is x axis , point h is quadrant 3
5 0
2 years ago
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There are 100 balloons in total the ratio between the yellow and blue balloons is 8 to 12 how many are yellow
Virty [35]

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio.

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication.

Finally, solve for x and if you had 100 balloons, you will have 40 yellow balloons.

4 0
3 years ago
Read 2 more answers
Find the equation of the tangent line to the curve y equals left parenthesis x minus 3 right parenthesis superscript 7 baseline
Rashid [163]

We have been given the expression to be y=(x-3)^7(x+1)^2

Since we need to find the tangent at a point, we will have to find the derivative of y as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.

Thus, we have to find \frac{dy}{dx}=\frac{d}{dx} (x-3)^7(x+1)^2

We will use the product rule of derivatives to find \frac{dy}{dx}

Thus, y'=7(x-3)^6(x+1)^2+(x-3)^7\times2(x+1) (using the product rule which states that (fg)'=f'g+fg')

Taking the common factors out we get:

y'=(x-3)^6(x+1)(7(x+1)+2(x-3))

y'=(x-3)^6(x+1)(7x+7+2x-6)=(x-3)^6(x+1)(9x+1)

Thus, y' at x=4 is given by:

y'_{x=4}=Slope of the tangent of y at x=4=m

Thus, m=(4-3)^6(4+1)(9\times4+1)=185

Now, the equation of the tangent line which passes through (x_{1}, y_{1}) and has slope m is given by:

y-y_{1}=m(x-x_{1})

Thus, the equation of the tangent line which passes through (4,25) and has the slope 185 isy-25=185(x-4)

Which can be simplified to y=185x-740+25=185x-715

Thus, y=185x-715

This is the required equation of the tangent.

3 0
3 years ago
TWENTY POINTS.
earnstyle [38]

Answer: 54 feet or 648 inches.

Step-by-step explanation:

1. You know that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. Therefore, you can calculate the width of the full-sized house that it's modeled after, as following:

width=\frac{108in*1/2ft}{1in}\\width=54ft

2. Then, the width in feet is: 54 feet.

3. And the width in inches is:

(Keeping on mind that 1 feet=12 inches)

\frac{54ft*12in}{1ft}=648in

4 0
3 years ago
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