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STALIN [3.7K]
3 years ago
10

A student takes 1.5 hours to complete her midterm. How many seconds did it take her to finish the assessment?

Mathematics
2 answers:
ELEN [110]3 years ago
7 0

Answer:

5400

Step-by-step explanation:

valina [46]3 years ago
5 0
Answer: 5,400 seconds

Explanation: 1.5 hours is equal to 90 minutes and there is 60 seconds in a minute all you have to do is multiply 90 x 60 hope this helped(:
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4 0.10 that is answer of this question
5 0
3 years ago
Without graphing or solving either system of equations explain how you know what the solution to the system is.
Sonbull [250]

x = 5

y = -1

Step-by-step explanation:

from second equation,

  • y = -2 + 1
  • y = -1

by putting the value of y in first equation

  • y = -x + 4
  • -1 = -x + 4
  • -x = -1 -4
  • -x = -5
  • x = 5

x = 5 and y = -1

3 0
4 years ago
Y= |x−3| + |x+2| − |x−5|, if x&gt;5<br> I need to know what y equals.
olganol [36]

Answer:

y  \ge9

Step-by-step explanation:

The given function is

y =  |x - 3|   +  |x  + 2|  -  |x - 5|

By the triangle inequality property,

|x + y|  \leqslant  |x|  +  |y|

and the alternate triangle inequality property;

|x - y|  \geqslant  |x|  -  |y|

We apply this property to get:

y  \geqslant   |x |    - |3|    +  |x |  +  |2|  -(  |x |  -  |5| )

Expand parenthesis to get:

y  \geqslant   |x |    - |3|    +  |x |  +  |2|  - |x |   +   |5|

Simplify to get:

y  \geqslant   |x |    - 3+  |x |  +  2- |x |   +   5

Group similar terms to get:

y  \geqslant   |x |  +   |x | - |x |    - 3 + 2+   5

y  \geqslant   |x |   + 4

When x>5,

y  \geqslant   |5 |   + 4

That's;

y  \geqslant   5  + 4   \\ y  \geqslant   9

5 0
3 years ago
16) Four students simplified the expression given below :(6 + 5 × 4 ) ÷ 2 , Anshu's solutions is 25 , Ram's solution is 46, Kish
Juli2301 [7.4K]

Answer:

69

Step-by-step explanation:

6 0
3 years ago
Use the Divergence Theorem to evaluate the following integral S F · N dS and find the outward flux of F through the surface of t
Xelga [282]

Answer:

Result;

\int\limits\int\limits_S { \textbf{F}} \, \cdot \textbf{N} d {S} = 32\pi

Step-by-step explanation:

Where:

F(x, y, z) = 2(x·i +y·j +z·k) and

S: z = 0, z = 4 -x² - y²

For the solid region between the paraboloid

z = 4 - x² - y²

div F        

For S: z = 0, z = 4 -x² - y²

We have the equation of a parabola

To verify the result for F(x, y, z) = 2(x·i +y·j +z·k)

We have for the surface S₁ the outward normal is N₁ = -k and the outward normal for surface S₂ is N₂ given by

N_2 = \frac{2x \textbf{i} +2y \textbf{j} + \textbf{k}}{\sqrt{4x^2+4y^2+1} }

Solving we have;

\int\limits\int\limits_S { \textbf{F}} \, \cdot \textbf{N} d {S} = \int\limits\int\limits_{S1} { \textbf{F}} \, \cdot \textbf{N}_1 d {S} + \int\limits\int\limits_{S2} { \textbf{F}} \, \cdot \textbf{N}_2 d {S}

Plugging the values for N₁ and N₂, we have

= \int\limits\int\limits_{S1} { \textbf{F}} \, \cdot \textbf{(-k)}d {S} + \int\limits\int\limits_{S2} { \textbf{F}} \, \cdot  \frac{2x \textbf{i} +2y \textbf{j} + \textbf{k}}{\sqrt{4x^2+4y^2+1} } d {S}

Where:

F(x, y, z) = 2(xi +yj +zk) we have

= -\int\limits\int\limits_{S1} 2z \ dA + \int\limits\int\limits_{S2} 4x^2+4y^2+2z \ dA

= -\int\limits^2_{-2} \int\limits^{\sqrt{4-y^2}} _{-\sqrt{4-y^2}} 2z \ dA + \int\limits^2_{-2} \int\limits^{\sqrt{4-y^2}} _{-\sqrt{4-y^2}} 4x^2+4y^2+2z \ dA

= \int\limits^2_{-2} \int\limits^{\sqrt{4-y^2}} _{-\sqrt{4-y^2}} 4x^2+4y^2 \ dxdy

= \int\limits^2_{-2} \frac{(16y^2 +32)\sqrt{-(y^2-4)} }{3} dy

= 32π.

6 0
4 years ago
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