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m_a_m_a [10]
3 years ago
13

Simplify. (−5p4z6u)3

Mathematics
1 answer:
sineoko [7]3 years ago
4 0
The rules of exponents tell you that you can distribute the exponent to each of the factors. When one already has an exponent, those exponents multiply.
(-5p^{4}z^{6}u)^{3}=(-5)^{3}\cdot(p^{4})^{3}\cdot(z^{6})^{3}\cdot u^{3}\\\\=-125p^{4\cdot 3}z^{6\cdot 3}u^{3}\\\\=-125p^{12}z^{18}u^{3}
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Ms. Sanches and Mr. Brown went to Chuckie Cheese’s. Ms. Sanches had 567 tokens, and Mr. Brown had 432 tokens. Rounded to the nea
ryzh [129]

Answer:

Rounded to the nearest hundred, Ms. Sanshes had about 200 more tokens than Mr. Brown

Step-by-step explanation:

567=600 (rounded)

432=400 (rounded)

600-400=200 tokens

7 0
3 years ago
analyze the diagram below and complete the instructions that follow. find the value of x and the value of y
Aleks [24]
Answers:
x = 2√2 units
y = 2√6 units

Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.

1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units

2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units

Hope this helps :)


8 0
3 years ago
Read 2 more answers
A rectangular block has square base of area 64 cm². If the thickness of the block is 5 cm, find its total surface area. ​
Andrej [43]

Answer:

total surface area of cube is <u>6 * area of one side</u>

therefore area of one side is given 64cm^2

thickness is also given 5cm .

TSA is 64*5 = 320cm^2

hope it is helpful

4 0
2 years ago
Read 2 more answers
Pizza take 20 minutes to cook. For pizzas can be cooked at one time in the pizza oven. How long would it take to cook 10 pizzas
ZanzabumX [31]
You'd fine the unit rate, in the context of the problem it would be how many minutes it takes for 1 pizza to cook
20/4= 5 minutes for 1 pizza
we are finding how long it would take to cook 10
5 times 10= 50, so 50 minutes
8 0
3 years ago
A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 4 mo
Alla [95]

Answer:14

Step-by-step explanation:

13+5-4=14 No 1 more person got on.

4 0
3 years ago
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