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Andrej [43]
2 years ago
7

Which point on the number line represents two and one-half degrees below zero?

Mathematics
1 answer:
olga_2 [115]2 years ago
5 0

Answer:

B

Step-by-step explanation:

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Decompose 5/15 and 8/12
AnnZ [28]

Answer:

:)

Step-by-step explanation:

5/15 divided by 5 is equal to 1/3 and

8/12 divided by 2 is 4/6 divided by 2 is 2/3

You have to divide the numerator with the same number that you divide the denominator with.  

6 0
2 years ago
What is the inequality??
Maslowich

Answer:

OOF

Step-by-step explanation:

6 0
3 years ago
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A plane flying overhead at night is located by two
Gemiola [76]

Answer:

Step-by-step explanation:

B

2

3

​

​

Let the distance of two consecutive stones are x, x+1.

In ΔBCD, we have

tan60

o

=

x

h

​

⇒x=

3

​

h

​

      .....(i)

In ΔABC, we have

tan30

o

=

x+1

h

​

⇒

3

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1

​

=

x+1

h

​

⇒

3

​

h

​

+1=

3

​

h       ......[from equation (i)]

⇒

3

​

2h

​

=1

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​

 km

solution

6 0
3 years ago
EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

7 0
3 years ago
In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes
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