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bogdanovich [222]
3 years ago
6

Graph the inequality -n_<-5

Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

This is just the same as n≤5, which would look like the attached number line.

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The perimeter of a square is increasing at a rate of 555 meters per hour. At a certain instant, the perimeter is 303030 meters.
BigorU [14]

Answer: 21,022,706.3\ m^2/hr

Step-by-step explanation:

Given

The rate of change of perimeter of a square is increasing at a rate of 555\ m^3/hr

At a certain instant, the perimeter is 303030\ m

At this instant side of square is

\Rightarrow a=\dfrac{303030}{4}\\\\\Rightarrow a=75,757.5\ m

Rate of change of perimeter is

\Rightarrow \dfrac{dp}{dt}=4\dfrac{da}{dt}\\\\\Rightarrow 555=4\dfrac{da}{dt}\\\\\Rightarrow \dfrac{da}{dt}=138.75\ m/hr

At this instant, rate of change of the area of the square is

\Rightarrow A=a^2\\\Rightarrow \dfrac{dA}{dt}=2a\dfrac{da}{dt}\\\\\Rightarrow \dfrac{dA}{dt}=2\times 75757.5\times 138.75\\\\\Rightarrow \dfrac{dA}{dt}=21,022,706.3\ m^2/hr

8 0
3 years ago
Just answer 15 I need help on math​
Olegator [25]
15.3 would be the answer
8 0
3 years ago
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Solve using substitution method: <br> X= y/3 +2 <br> 7x − 5y = 10<br><br> Solve for (x,y)
s344n2d4d5 [400]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:x = 5/2

\qquad \tt \rightarrow \: y = 3/2

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: x =  \cfrac{y}{3}  + 2 \:  \:  \:  \:  \:  \:  \:  \:  - (1)

\qquad \tt \rightarrow \: 7x -5 y = 10 \:  \:   - (2)

\textsf{put value of x in equation 2}

\qquad \tt \rightarrow \: 7 \bigg( \cfrac{y}{3} + 2 \bigg)  - 5y = 10

\qquad \tt \rightarrow \: \cfrac{7y}{3} + 14  - 5y = 10

\qquad \tt \rightarrow \: \cfrac{7y}{3}  - 5y = 10  - 14

\qquad \tt \rightarrow \: \cfrac{7y - 15y}{3}  =  - 4

\qquad \tt \rightarrow \:  - 8y =  - 4(3)

\qquad \tt \rightarrow \: y =  \cfrac{ - 12}{ - 8}

\qquad \tt \rightarrow \: y =  \cfrac{ 3}{ 2}

\textsf{put value of y in equation 1 }

\qquad \tt \rightarrow \: x =  \cfrac{y}{3}  + 2

\qquad \tt \rightarrow \: x =  \bigg (\cfrac{3}{2}    \sdot\cfrac{1}{3} \bigg)  + 2

\qquad \tt \rightarrow \: x =  \cfrac{1}{2}   + 2

\qquad \tt \rightarrow \: x =  \cfrac{1 + 4}{2}

\qquad \tt \rightarrow \: x =  \cfrac{5}{2}

4 0
2 years ago
ABCD is a rectangle.
grandymaker [24]

Answer:

i need more details

Step-by-step explanation:

8 0
3 years ago
Evaluate (2 - 3)4(4) - 9 ÷ 3. -7 -2 1 2
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Answer:

your answer is -8

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