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Luda [366]
3 years ago
9

Can anyone help please

Mathematics
1 answer:
Semenov [28]3 years ago
8 0
The answer is b x Increases 6 y decreases 3
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PLS HELP I HAVE TO DO THIS BY TONIGHTT
gtnhenbr [62]

I got you !

Step-by-step explanation:

45 bulbs planted in first year.

65 bulbs the next year.

increase = 20 bulbs

Number of increase of planted tulip bulb is N = 65 - 45 = 20

( 20/45)  x 100% = 44.4 % to the nearest tenths

3 0
3 years ago
What is the measure of A<br> 1430<br> 8.<br> 619
GenaCL600 [577]
The measure of A is 37 degrees
6 0
3 years ago
Read 2 more answers
Given a right triangle with legs a, b and hypotenuse c, solve for a if b= 20 and c= 29
pantera1 [17]

Answer:

C) 21

Step-by-step explanation:

a² + 20² = 29²       Use Pythagorean Theorem to solve for a

a² + 400 = 841       Solve for the exponents

     - 400 - 400      Subtract 400 from both sides

a² = 441                  Take the square root of both sides

a = 21

8 0
3 years ago
Read 2 more answers
Will GIVE 200 Points!!! NEED HELP ASAP!!!! PLEASE HURRY AND HELP!!! For the given statement, write the converse, inverse, and co
UNO [17]

Answer:

See explanation

Step-by-step explanation:

Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let

  • statement p be "A figure is cube.";
  • statement q be "A figure has 8 vertices."

Then the statement  "If a figure is a cube, then it has eight vertices"  can be written as

p\Rightarrow q

Converse (q\Rightarrow p): If a figure has eight vertices, then it is a cube.

Inverse (\neg p\Rightarrow \neg q): If a figure is not a cube, then it has not eight vertices.

Contrapositive (\neg q\Rightarrow \neg p): If a figure has not eight vertices, then it is not a cube.

7 0
3 years ago
Find the exact length of the curve. 36y2 = (x2 − 4)3, 5 ≤ x ≤ 9, y ≥ 0
IrinaK [193]
We are looking for the length of a curve, also known as the arc length. Before we get to the formula for arc length, it would help if we re-wrote the equation in y = form.

We are given: 36 y^{2} =( x^{2} -4)^3
We divide by 36 and take the root of both sides to obtain: y = \sqrt{ \frac{( x^{2} -4)^3}{36} }

Note that the square root can be written as an exponent of 1/2 and so we can further simplify the above to obtain: y =  \frac{( x^{2} -4)^{3/2}}{6} }=( \frac{1}{6} )(x^{2} -4)^{3/2}}

Let's leave that for the moment and look at the formula for arc length. The formula is L= \int\limits^c_d {ds} where ds is defined differently for equations in rectangular form (which is what we have), polar form or parametric form.

Rectangular form is an equation using x and y where one variable is defined in terms of the other. We have y in terms of x. For this, we define ds as follows: ds= \sqrt{1+( \frac{dy}{dx})^2 } dx

As a note for a function x in terms of y simply switch each dx in the above to dy and vice versa.

As you can see from the formula we need to find dy/dx and square it. Let's do that now.

We can use the chain rule: bring down the 3/2, keep the parenthesis, raise it to the 3/2 - 1 and then take the derivative of what's inside (here x^2-4). More formally, we can let u=x^{2} -4 and then consider the derivative of u^{3/2}du. Either way, we obtain,

\frac{dy}{dx}=( \frac{1}{6})( x^{2} -4)^{1/2}(2x)=( \frac{x}{2})( x^{2} -4)^{1/2}

Looking at the formula for ds you see that dy/dx is squared so let's square the dy/dx we just found.
( \frac{dy}{dx}^2)=( \frac{x^2}{4})( x^{2} -4)= \frac{x^4-4 x^{2} }{4}

This means that in our case:
ds= \sqrt{1+\frac{x^4-4 x^{2} }{4}} dx
ds= \sqrt{\frac{4}{4}+\frac{x^4-4 x^{2} }{4}} dx
ds= \sqrt{\frac{x^4-4 x^{2}+4 }{4}} dx
ds= \sqrt{\frac{( x^{2} -2)^2 }{4}} dx
ds=  \frac{x^2-2}{2}dx =( \frac{1}{2} x^{2} -1)dx

Recall, the formula for arc length: L= \int\limits^c_d {ds}
Here, the limits of integration are given by 5 and 9 from the initial problem (the values of x over which we are computing the length of the curve). Putting it all together we have:

L= \int\limits^9_5 { \frac{1}{2} x^{2} -1 } \, dx = (\frac{1}{2}) ( \frac{x^3}{3}) -x evaluated from 9 to 5 (I cannot seem to get the notation here but usually it is a straight line with the 9 up top and the 5 on the bottom -- just like the integral with the 9 and 5 but a straight line instead). This means we plug 9 into the expression and from that subtract what we get when we plug 5 into the expression.

That is, [(\frac{1}{2}) ( \frac{9^3}{3}) -9]-([(\frac{1}{2}) ( \frac{5^3}{3}) -5]=( \frac{9^3}{6}-9)-( \frac{5^3}{6}-5})=\frac{290}{3}


8 0
3 years ago
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