All categories

2 years ago

Please select the best answer from the choices provided

Mathematics

2 answers:

liq [111]2 years ago

6 0

27^2/3

=(3^3)^2/3

= 3^2

= 9

Answer

d. 9

Elena L [17]2 years ago

4 0

Answer:

The correct answer option is d. 9.

Step-by-step explanation:

We are given an expression $27^{\frac{2}{3} }$ and we are supposed to simplify it.

We can also write $27^{\frac{2}{3} }$ as $(3^3)^{\frac{2}{3} }$ .

We know the power rule $(a^m)^n=a^{mn}$ which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

$(3^3)^{\frac{2}{3} }\\3^{3.\frac{2}{3}$

3 gets cancelled by 3 so we are left with:

$3^2$ $=9$

Therefore, the correct answer option is d. 9.

You might be interested in

Guys plz help me!!!!!!!!

Rainbow [258]

Answer:

63.62

Step-by-step explanation:

3 0

2 years ago

HelllllllP it’s due today :/

svetlana [45]

Answer:

Rectangle

Step-by-step explanation:

Note the definition of a rectangle. All angles must be 90°, and opposite sides are parallel and congruent.

It says that Andre "drew a quadrilateral with four right angles and two pairs of congruent sides.", making rectangle a candidate as an answer.

4 0

3 years ago

point Z in nXYZ has coordinates (5,-4). nXYZ was dilated by a scale factor of 0.8 name the coordinates of the image of point V.

cluponka [151]

There is no information given about point V, so any answer will do for the question asked.

If we assume the intent is to ask about the image of point Z, then its coordinates will be 0.8 times those of point Z.
Z' = 0.8×(5, -4)
Z' = (0.8×5, 0.8×(-4)) = (4, -3.2)

The appropriate choice seems to be
C (4, -3.2)

4 0

3 years ago

Frank is making a pennant in the shape of a triangle for his senior class photo. He wants the base length of this triangle to be

Sav [38]

Answer:

Height should be ≤ 9 inches.

Step-by-step explanation:

Given:

Frank is making a pennant in the shape of a triangle for his senior class photo.

Base of triangle = 6 in

Area of triangle ≤ 27 $in^2$

Let height of the triangle be h

Now we now that,

Area of triangle = $\frac{1}{2}\times base \times height$

$\frac{1}{2}\times 6 \times h \leq 27\\\\3h\leq 27\\\\h\leq \frac{27}{3}\\\\h\leq 9 \ in.$

Hence the height of the triangle must be at most or ≤ 9 inches.

5 0

2 years ago

I need to Match each equation that represents each situation.

almond37 [142]

Step-by-step explanation:

this is quite easy, when you use just common sense and identify the right numbers and variable names.

they is nothing special needed, you don't even need to create the equations yourself.

$4.99 per pound. buys b pounds and pays $14.95.

14.95 = 4.99 × b

$4.99 per pound. buys b pounds and pays c.

this is exactly the same as before, just that this time the total amount is not given as a constant but as a variable.

c = 4.99 × b

d dollars per pound. buys b pounds and pays t.

the same as the 2 cases before, just now everything is a variable. no more constants, but otherwise the completely same structure and method.

t = d × b

earned $275, which is $45 more than Noah ("n").

$275 = n + $45

earned m dollars, which is $45 more than Noah ("n").

m = n + $45

earned m dollars, which is y dollars more than Noah (we are asked that Noah's earnings are now called "v").

here your teacher made a mistake.

sure, the only remaining answer is

v = m + y

but it is not correct. given the names of the prime and associated variables the correct answer would be

m = v + y or v = m - y

7 0

1 year ago