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allsm [11]
4 years ago
7

Andrea ran 4 3/8 miles on

Mathematics
1 answer:
MrRissso [65]4 years ago
8 0
(4 3/8) + (5 1/3)

(4+5)(3/8 + 1/3)

9 + (17/24)

she ran 9 17/24 miles total
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What is the probability that a randomly selected student who lives in Nebraska plans to stay in his or her home state after grad
GarryVolchara [31]

Answer:

<h2>0.044 equivalen to 4.4%</h2>

Step-by-step explanation:

According to the table, only 4.4% (0.044) of the students plan to stay in Nebraska, their home state.

You can deduct by using the given frequency table, remember that percetange represent a portion of a sample, which can also work as probablity, because it has that percetange characteristic too.

Therefore, the answer is 0.044.

8 0
4 years ago
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)= 6x^1/3 + 3x^4/3. You must justify
irina [24]

Answer:

x-coordinates of relative extrema = \frac{-1}{2}

x-coordinates of the inflexion points are 0, 1

Step-by-step explanation:

f(x)=6x^{\frac{1}{3}}+3x^{\frac{4}{3}}

Differentiate with respect to x

f'(x)=6\left ( \frac{1}{3} \right )x^{\frac{-2}{3}}+3\left ( \frac{4}{3} \right )x^{\frac{1}{3}}=\frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}

f'(x)=0\Rightarrow \frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}=0\Rightarrow x=\frac{-1}{2}

Differentiate f'(x) with respect to x

f''(x)=2\left ( \frac{-2}{3} \right )x^{\frac{-5}{3}}+\frac{4}{3}x^{\frac{-2}{3}}=\frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}\\f''(x)=0\Rightarrow \frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}=0\Rightarrow x=1

At x = \frac{-1}{2},

f''\left ( \frac{-1}{2} \right )=\frac{4\left ( -1+4\left ( \frac{-1}{2} \right ) \right )}{3\left ( \frac{-1}{2} \right )^{\frac{5}{3}}}>0

We know that if f''(a)>0 then x = a is a point of minima.

So, x=\frac{-1}{2} is a point of minima.

For inflexion points:

Inflexion points are the points at which f''(x) = 0 or f''(x) is not defined.

So, x-coordinates of the inflexion points are 0, 1

7 0
3 years ago
Nine times the input minus seven is equal to the output. If the input is -1, what is the output?
lara [203]

Answer:

-16

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How many solutions does the following equation have?<br><br> 0 = -6|9v - 7|
Lunna [17]

Answer: One solution

Step-by-step explanation:

V=7/9

6 0
3 years ago
Find the perimeter of ΔABC and how you got it.
coldgirl [10]

Answer:

\fbox{Perimeter of ∆ABC = 54 units}

Step-by-step explanation:

Given:

➳ AC || RP

➳ AC = 18 units

➳ AR = 14 units

➳ RB = 7 units

➳ CP = 10 units

To find:

perimeter of triangle ABC =?

Solution:

in ∆ABC and ∆RBP

since we know AC || RP,

then ∠ACP = ∠RPB

and ∠CAB = ∠PRB (Property of parallel lines)

and ∠B is a common angle in both traingles,

hence ∆ABC ~ ∆RBP from AAA property!

now,

using the properties of similar triangle,

\frac{AR   }{RB}  =  \frac{CP}{PB} \\   \\  \frac{14}{7}  =  \frac{10}{PB}  \\  \\ X =  \frac{10}{2}  \\   \\ \fbox{PB = 5} \\  \\  \\

To find perimeter of ∆ABC, add all the components.

Perimeter of ∆ABC = AR + RB + BP +PC + CA

Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units

\fbox{Perimeter of ∆ABC = 54 units}

<em><u>Thanks for joining brainly community! </u></em>

6 0
3 years ago
Read 2 more answers
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