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Ira Lisetskai [31]
3 years ago
5

Please help me with this math question!

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0
The bases are both 2, so we would subtract the exponents. This is because the rule is

(a^b)/(a^c) = a^(b-c)

In this case,
a = 2
b = 3/4
c = 1/2

So this means
b - c = (3/4) - (1/2) = (3/4) - (2/4) = 1/4

After subtracting the exponents, the final exponent is 1/4

So the expression simplifies to 2^(1/4) which is the same as \sqrt[4]{2} (fourth root of 2)
You might be interested in
Given that √5 = 2.24 and √50= 7.07 , find <br> √500 and √0.5
sineoko [7]

Answer:

see explanation

Step-by-step explanation:

using the rules of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

\sqrt{\frac{a}{b} } ⇔ \frac{\sqrt{a} }{\sqrt{b} }

then

\sqrt{500}

= \sqrt{100(5)}

= \sqrt{100} × \sqrt{5}

= 10 × 2.24

= 22.4

-------------------------------

\sqrt{0.5}

= \sqrt{\frac{50}{100} }

= \frac{\sqrt{50} }{\sqrt{100} }

= \frac{\sqrt{50} }{10}

= \frac{7.07}{10}

= 0.707

3 0
2 years ago
1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):
Aleksandr [31]

1) y=-0.5x-2


The graph of the above equation is attached in the attachment below.  

For all the values from negative infinity to -4, the function is positive.  

X ∈ (-∞,-4]


2) y=-1.5x+3


To find the x- intercept, plug y =0  

0=-1.5x+3


1.5x=3


x=2


x intercept = (2,0)


To find the y- intercept, plug x=0  

y=-1.5(0)+3


y=3


Y- intercept = ( 0,3)


3) y=13-x


Y- intercept = (0,13)


x- intercept = (13,0)


Area of triangle = \frac{bh}{2}


Area of triangle = \frac{13\times13}{2}


Area = \frac{169}{2} sq unit.


4) The graphs of y=-2x+7 and y=0.5x-5.5 is attached in the attachment below.  

The intersection point is ( 5,-3)


5) A = (-3,0)


B = (4,5)


C = (0,-4)


Slope of AB = \frac{5-0)}{4-(-3)} =\frac{5}{7}


Slope intercept of line y=mx+b


Where, m is the slope and b is the y- intercept.  

Plugging point A and the slope in the y- intercept to find the value of b.  

0=\frac{5(-3)}{7} +b

b=\frac{15}{7}


Equation of line AB: y=\frac{5x}{7} +\frac{15}{7}


Slope of BC = \frac{-4-5}{0-4} =\frac{9}{4}


Plug C = (0,-4)  

-4=0+b


b=-4


equation of line BC= y=\frac{9x}{4} -4


Slope of line AC = \frac{-4-0}{0--3} =\frac{-4}{3}


Equation of line AC = y=\frac{-4x}{3} -4


Y intercept of AB = (0,\frac{15}{7} )




5 0
4 years ago
Read 2 more answers
If you can answer 5 questions in an hour, how many questions can you complete in 3 hours? HINT: Use the proportion 5 questions :
Stella [2.4K]

Answer:

15

Step-by-step explanation:

1 hr: 5

2 hr: 10

3 hr: 15

3 0
4 years ago
How much red paint and blue paint do you use to make 20 cups of purple paint?
Iteru [2.4K]

Answer:

To get 20 cups of purple paint, the table shows that we need 8 cups of blue paint and 12 cups of red paint. We can solve the problem using double (or triple) number lines.

7 0
3 years ago
A round ball has a diameter of 10 inches. What is the approximate volume of the ball?
NARA [144]

Answer:

523.333333333

Step-by-step explanation:

Using the formula 4/3πr³:

(4/3)(3.14)(5^3)

Hope this helps :)

5 0
3 years ago
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