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padilas [110]
3 years ago
13

Carlos has a string that is 24 inches long he wants to divide it into three equal parts write an equation to find how long each

part will be
Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer: 24 ÷ 3


Step-by-step explanation: You do 24÷3 because he has a string that is 24 inches long and if he wanted to divide it into 3 equal pieces . You would get 8 inches long for each piece (8x3) or (3x8)


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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 2 sin(xy), (0, 5)
andrew-mc [135]

Answer:

<h2>10</h2>

Step-by-step explanation:

Given the function f(x, y) = 2 sin(xy) at (0,5), the maximum rate of change of the function at that point will occur in the direction \nabla f(0,5)

\nabla f(x, y) = \frac{\delta(2sin(xy)) }{\delta x} i + \frac{\delta(2sin(xy)) }{\delta y} j\\\\\nabla f(x, y) = 2ycos(xy)i + 2xcos(xy)j\\\\\nabla f(0, 5) =  2(5)cos(0*5)i + 2(0)cos(0*5)j\\\\\nabla f(0, 5) = 10cos0i+ 0j\\\\\nabla f(0, 5) = 10i+0j\\\\||\nabla f(0, 5)|| = \sqrt{10^2+0^2} \\\\||\nabla f(0, 5)||  = \sqrt{100} = 10

Hence, the magnitude of the maximum rate of the function at the point (0, 5) is 10

6 0
3 years ago
If you are given the surface area of a square pyramid and the area of the base, how could you calculate the area of each side of
stiv31 [10]

Answer:

you need to divide the surface are and the base and you should get the number of each lateral face

Step-by-step explanation:

but you do need to tell me the numbers so do that in the comments

8 0
3 years ago
Write the equation of a line that is perpendicular to y=-0.3x+6 and that passes through the point (3,-8)
MariettaO [177]
Hey there!

First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:

y = mx + b
where m is the slope and b is the y-intercept.

When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:

8 = -3(-3) + b
8 = -9 + b
17 = b

Now, since we have slope and y-intercept, we can write our equation as:

y = -3x + 17

Hope this helps!
5 0
3 years ago
Read 2 more answers
Which is the best for the sum 2/9+10/11?a. 0+0=0 b.1/2+1/2=1 c. 1+1=2d. 0+1=1
Sloan [31]

You have the following expression:

\frac{2}{9}+\frac{10}{11}

By definition, when you want to express a fraction as a decimal number, you must divide the numerator by the denominator. Knowing this, you get the following:

\begin{gathered} \frac{2}{9}\approx0.22 \\  \\ \frac{10}{11}\approx0.90 \end{gathered}

You can identify that:

\begin{gathered} 0.22\approx0 \\ 0.90\approx1 \end{gathered}

Based on the above, you can determine that the best estimate for the sum is:

\frac{2}{9}+\frac{10}{11}\approx0+1=1

The answer is option d:

0+1=1

3 0
1 year ago
In a certain game, points you win are positive numbers and points you lose are negative numbers. What is the value of the series
Fittoniya [83]

Answer:

4

Step-by-step explanation

+8  + (-7)  + (+11) + (-2)= 4

8 0
3 years ago
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