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postnew [5]
1 year ago
5

If he paints 1/2 of the wall blue, hoy many square feet will be blue?

Mathematics
1 answer:
Katen [24]1 year ago
6 0

To determine how much of the wall is blue we first need to find its area. The wall is a rectangle, then its area is the product of its height and length:

\begin{gathered} A=(8\frac{2}{5})(16\frac{2}{3}) \\ A=(\frac{42}{5})(\frac{50}{3}) \\ A=(14)(10) \\ A=140 \end{gathered}

Hence, the area of the wall is 140 square ft. To determine how much of the wall is already painted we multiply this by 1/2, then:

(140)(\frac{1}{2})=70

Therefore, 70 square ft are blue.

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Calculus graph please help
tresset_1 [31]

Answer:

See Below.

Step-by-step explanation:

We are given the graph of <em>y</em> = f'(x) and we want to determine the characteristics of f(x).

Part A)

<em>f</em> is increasing whenever <em>f'</em> is positive and decreasing whenever <em>f'</em> is negative.

Hence, <em>f</em> is increasing for the interval:

(-\infty, -2) \cup (-1, 1)\cup (3, \infty)

And <em>f</em> is decreasing for the interval:

\displaystyle (-2, -1) \cup (1, 3)

Part B)

<em>f</em> has a relative maximum at <em>x</em> = <em>c</em> if <em>f'</em> turns from positive to negative at <em>c</em> and a relative minimum if <em>f'</em> turns from negative to positive to negative at <em>c</em>.

<em>f'</em> turns from positive to negative at <em>x</em> = -2 and <em>x</em> = 1.

And <em>f'</em> turns from negative to positive at <em>x</em> = -1 and <em>x</em> = 3.

Hence, <em>f</em> has relative maximums at <em>x</em> = -2 and <em>x</em> = 1, and relative minimums at <em>x</em> = -1 and <em>x</em> = 3.

Part C)

<em>f</em> is concave up whenever <em>f''</em> is positive and concave down whenever <em>f''</em> is negative.

In other words, <em>f</em> is concave up whenever <em>f'</em> is increasing and concave down whenever <em>f'</em> is decreasing.

Hence, <em>f</em> is concave up for the interval (rounded to the nearest tenths):

\displaystyle (-1.5 , 0) \cup (2.2, \infty)

And concave down for the interval:

\displaystyle (-\infty, -1.5) \cup (0, 2.2)

Part D)

Points of inflections are where the concavity changes: that is, <em>f''</em> changes from either positive to negative or negative to positive.

In other words, <em>f </em>has an inflection point wherever <em>f'</em> has an extremum point.

<em>f'</em> has extrema at (approximately) <em>x</em> = -1.5, 0, and 2.2.

Hence, <em>f</em> has inflection points at <em>x</em> = -1.5, 0, and 2.2.

7 0
3 years ago
Emma buys packets of beads
Serhud [2]

Answer:

40beads

Step-by-step explanation:

For this number you are supposed to find the LCM of the three numbers given that is 8,5 and 10

Hope that this helpful.

Have a great day.

7 0
3 years ago
Identify the type of function represented by each graph​
mario62 [17]

Answer:

13. Linear Function

12. Absolute Value Function

11. Quadratic Function

10. Constant and Linear Function

Step-by-step explanation:

13. This graph is in Slope-Intercept Form, y = mx + b. The equation of this line is y = x + 1.

12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".

11. This graph is in the shape of a parabola, so it is considered "Quadratic".

10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function<em> </em>because it is in the form of y = mx + b, and the equation of this line is y = -2, where you have NO <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]. This is what you call horizontal lines, zero slopes.

I am joyous to assist you anytime.

6 0
3 years ago
How do I solve this arithmetic sequence and find the next four terms?
ololo11 [35]

Answer:

252

Step-by-step explanation:

t50 = t1 + (n - 1)(d)

= 7 + (50 - 1) (5)

= 7 + (49)(5)

= 7 + 245

= 252

6 0
3 years ago
Read 2 more answers
F(t) = t - 6<br> f(u + 6) =
vovikov84 [41]

Answer:

  f(u +6) = u

Step-by-step explanation:

Put (u+6) in place of t and simplify:

  f(u+6) = (u+6) -6

  f(u+6) = u

4 0
3 years ago
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