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Lemur [1.5K]
2 years ago
7

This whole thing hurts my brain.

Mathematics
1 answer:
faltersainse [42]2 years ago
8 0

Answer:

1.) C. 32

2.) Stem-and-leaf plot

Step-by-step explanation:

    This is a stem-and-leaf plot. The stem represents tens and the leaves represent units. To make it easier to look at, it is equivalent to this:

  • 20, 28, 29, 29, 31, 32, 36, 41, 42

    Now, to find the mean, add up all the numbers and divide the sum by the number of values.

(20 + 28 + 29 + 29 + 31 + 32 + 36 + 41 + 42)/9 = 288/9 = 32

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Determine the longest interval in which the given initialvalue problemis certainto have a unique twicedifferentiable solution. D
AlekseyPX

Answer:

t_o = 3, so solution exists on (0,4).  

Step-by-step explanation:

Use Theorem

Divide equation with t(t — 4).

y''+[3/(t-4)]*y'+ [4/t(t-4)]*y=2/t(t-4)

p(t)=3/t-4—> continuous on (-∞, 4) and (4,∞)

q(t) = 4/t(t-4) —> continuous on (-∞,0), (0,4) and (4, ∞)

g(t) = 2/t(t-4)—> continuous on (-∞, 0), (0,4) and (4,∞)

t_o = 3, so solution exists on (0,4).  

6 0
2 years ago
Convert this quadratic function to vertex form.
hammer [34]
Y=x² +14x +48
y-48 = x² +14x
y-48+7² = x² +2*7*x +7²
y-48+49 = (x+7)²
y+1= (x+7)²
y=(x+7)² - 1

Vertex of the function is (-7,-1). Minimum value of this function is a vertex value , because parabola directed up.

3 0
3 years ago
sunlight can penetrate a certain Lake to the depth of fifteen meters the lake is five and a half times deeper than the depth of
gizmo_the_mogwai [7]
Fifteen times Fifteen point Five equals 82.2 so the answer would be 82.2 Meters

4 0
3 years ago
Please answer this multiple choice question for 30 points and brainliest!!
mixer [17]

Answer:

  B.  s = 0.85r

Step-by-step explanation:

The sale price is 15% off the regular price. In equation form, that is ...

  s = r - 15%×r

  s = r(1 - 0.15) = 0.85r

The equation that can be used to calculate the sale price is <em>s = 0.85r</em>.

8 0
2 years ago
Which is an example x-intercept of the graph of the function y=tan(x-(5pi/6))
emmainna [20.7K]
Answer: x = 5π/6

Explanation:

1) Given function:

y=tan(x- \frac{5 \pi }{6} )

2) x-intercept are the roots of the function, i.e. the solution to y = 0

3) to find when y = 0, you can either solve the equation or look at the graph.

4) Solving the equation you get:

y = 0 ⇒ tan(x - 5π/6) = 0 ⇒ x - 5π/6 = arctan(0)

arctan(0) is the angle whose tangent is zero,so this is 0

⇒ x - 5π/6 = 0 ⇒ x = 5π/6.

Then, one example of an x-intercept is x = 5π/6, which means that when x = 5π/6, the value of the function is 0.

Since, the tangent function is a periodic function, there are infinite x-intecepts, that is why the questions asks for one example and not all the values.

You can verify by replacing the value x = 5π/6 in the given function:

y = tan (5π/6 - 5π/6) = tan(0) = 0.
4 0
3 years ago
Read 2 more answers
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