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Nutka1998 [239]
3 years ago
6

Someone please answer this

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

Answer:

30.35

Step-by-step explanation:

Please mark me as brainliest it would mean a lot

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Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2​
katrin2010 [14]

Answer:

\dfrac{225}{64}

Step-by-step explanation:

(4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} =

= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}

= 2^{-12} \times 2^{12} \times \dfrac{225}{64}

= \dfrac{225}{64}

8 0
3 years ago
From home, Mary’s work is two thirds along the way to training. Training is 2.5km from work. Mary normally goes to work, then tr
polet [3.4K]
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,

x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km

Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,

Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km

3 0
3 years ago
A classroom has a length of 30 ft. and a width of 20 ft. The flooring is to be replaced by tiles. If each tile has a length of 3
Mashcka [7]

Answer:

100

Step-by-step explanation:

Hello! to calculate the number of tiles needed for the floor you need two things

1. number of tiles that fit across the width, this is achieved by dividing the total width by the width of each tile

Width=20ft=240in

N1=\frac{240}{24} =10

2.number of tiles that fit in the logitude, this is achieved by dividing the total length by the length of each tile.

leght=30ft=360in

N2=\frac{360}{36} =10

Finally, you multiply the number of tiles that fit in width by the number of tiles that fit in length.

N=10X10=100

3 0
3 years ago
Classify the following polynomial function, −3x(x2−4)(2x2+5)based on degree and number of terms.
Free_Kalibri [48]

Answer:

Quintic Trinomial (2nd option)

Step-by-step explanation:

We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have -3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x

So, there are 3 terms, which is a trinomial.

5 0
2 years ago
What is the circumference of a circle if the radius is 3 units
maks197457 [2]
The circumference would be 18.85
4 0
3 years ago
Read 2 more answers
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