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IrinaVladis [17]
3 years ago
10

PLEASE HELP ASAP Evaluate bd/a +c if a=−2 , b=3 , c=−12 , and d=−4 .

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

\frac{bd}{(a + c)}  =  \frac{3 \times ( - 4)}{ (- 2) + ( - 12)}  =  \frac{( - 12)}{( - 14)}  =  \frac{6}{7} \\

<h3>6/7 is the right answer.</h3>
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Jala put $600 in an interest bearing account with a annual compound interest rate of 5%. Jala determined that after seven years,
maxonik [38]

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c

Step-by-step explanation:

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To successfully escape a planet's gravity, a space ship must achieve escape velocity, which for Earth is 11.2 km/s or 25,054 mil
melisa1 [442]

Answer:

9.33 Hours.

Step-by-step explanation:

The time in hours is given by the distance divided by velocity.

t=D/v

Now we are told that the velocity of the ship will be 25054 miles per hour, and the distance to the Moon is 233815 miles; therefore the time it will take the spacecraft to reach the moon will be:

t=233815miles/(25054miles/hr) = 9.33 hours

4 0
3 years ago
Simplify each expression as much as possible, and rationalize denominators when applicable. . √36/√18= ?
tino4ka555 [31]

Answer:

√2

Step-by-step explanation:

Solving the given expression step by step:

\frac{\sqrt{36} }{\sqrt{18} } = \frac{6}{3\sqrt{2} }\ \ \ [\because \sqrt{36} = 6 \ and \ \sqrt{18} = 3\sqrt{2}] \\ = \frac{3 \times 2}{3\sqrt{2} } = \frac{ 2}{\sqrt{2} }= \sqrt{2}

We rationalize denominator and change it into a simpler form as soon as possible.

7 0
3 years ago
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions
Art [367]

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector \vec{v} in some vector space \mathbb R^n we have

\vec{v} = \langle a,b\rangle

This is the component form. I don't like that way. It is probably used in high school, but

\vec{v} =  \begin{pmatrix} a\\ b\\ \end{pmatrix}

is preferable because the inner product on \mathbb R^n is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as \vec{v} = 2i+2j

4.

For this question, I think you meant

vectors

\vec{u_1} = (-8, 12)

\vec{u_2}  = (13, 15)

Once

\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}

Considering that the dot product is

\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76

and the norm of \vec{u_1} is ||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}

and the norm of \vec{u_2} is ||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}

Thus,

\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}

\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)

3 0
2 years ago
I need help it due today
Alisiya [41]

Answer:

1st box: Asso. prop= m+(4+x)

2nd box: Comm. Prop= m+4=4+m

3rd box: iden. prop= m+0=m

4th box: Zero prop: m x 0=0

4 0
2 years ago
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