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3 years ago

What expression is equivalent to

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

One way to approach this would be to express 125^2 as (125)(125).

Note also that 125^(4^3) = 125^(1 + 1/3) = (125)(5)

Therefore, the given expression boils down to

(125)(125) 125
--------------- = ------- = 25
5 (125) 5

There are other ways in which you could reduce the given expression.

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Find the measure of angle b.<br><br> And show work

zaharov [31]

Answer:

From the above attachment we can conclude that the sum of the angle 'b' and 40° is 90° (right angle)

$b + 40 ^\circ = 90 {}^{ \circ} \\ b = 90 {}^{ \circ} - 40 {}^{ \circ} \\ \boxed{ b = 50 {}^{ \circ} }$

<u>b = 50°</u> is the right answer.

7 0

2 years ago

Using Cramer's rule to solve linear systems.

Rzqust [24]

Answer: Last Option

$x=2,\ y=-5$

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

$x =\frac{Det(A_X)}{Det(A)}$

$y =\frac{Det(A_Y)}{Det(A)}$

For this problem we know that:

$Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|$

Solving we have:

$|A|= 4*(-2) -(-6)*8\\\\|A|=40$

$Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|$

Solving we have:

$|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80$

$Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|$

Solving we have:

$|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200$

Finally

$x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2$

$y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5$

4 0

3 years ago

A classroom had 8 rows of desks with 6 desks in each row. Four desks were removed from the room. How many desks were left?

Oduvanchick [21]

Answer: 44 desks.

First of all, you need to find how many desks there are in total. To find it, you need to multiply 8 with 6.

8 x 6 = 48

Next, it says that four desks were removed. All you need to do is subtract 4 from 48.

48 - 4 = 44.

5 0

3 years ago

A burro is standing near a cactus. The burro is 58 in. tall. His shadow is 4 ft long. The shadow of the cactus is 8 ft long. Wha

Sever21 [200]

To find the height of the cactus, make a ratio.

58 inches divided by 4 feet equals x inches divided by 8 feet.

58/4 = x/8

14.5 = x/8

116 = x

The height of the cactus is 116 inches.

8 0

3 years ago

Fill in each blank for the function f(x) = 3x - 6.

IRINA_888 [86]

Answer:

reeee :(

Step-by-step explanation:

7 0

3 years ago