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777dan777 [17]
3 years ago
13

Lilian makes $10.50 per hour and earned $252 last week. The equation 252 = 10.50h can be used to determine how many hours Lilian

worked. How many hours did lilian work last week ? answer please !
Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0
She worked 24 hours 252/10.50 = 24
Serga [27]3 years ago
6 0

Lilian worked 24 hours last week

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A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting i
Oxana [17]

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

4 0
4 years ago
Find the requested information based on the given facts.
Kazeer [188]

Answer:

use this website

Step-by-step explanation:

https://www.omnicalculator.com/finance/commission

4 0
3 years ago
HURRY PLEASE I WILL FAIL MATH IF I DON'T GET THIS RIGHT!! NO JOKE PLEASE HELP
Usimov [2.4K]
A) x + y = 2
B) x * y = -8
B) y = -8 / x  we can substitute this into equation A
A) x + -8 /x = 2 multiplying both sides by "x"
A) x² -8 = 2x
x² +2x -8 = 0
(x + 4) * (x -2)
The 2 numbers are -4 and 2


6 0
3 years ago
A pair of vertical angles has measures<br> (3x + 4) and ( 73 – 9)<br> What is the value of x?
sergij07 [2.7K]

Answer:

20

Step-by-step explanation:

Vertical angles are always equal to each other. So the answer is

3x + 4 = 73 - 9                 Are you sure this is what the question is?

3x + 4 = 64                      Subtract 4 from both sides

 <u>    -4      -4</u>

3x = 60                           Divide by 3

3x/3 = 60/3

x = 20

6 0
3 years ago
The sequence 2, 3, 5, 6, 7, 10, 11, $\ldots$ contains all the positive integers from least to greatest that are neither squares
sergeinik [125]
The 400th term is 425.

There are floor(√400) = 20 squares in the range 1..400, so the 400th term will be at least 420. There are floor(∛420) = 7 cubes in the range 1..400, so the 400th term may be as high as 427. However, there are \lfloor\sqrt[6]{427}\rfloor=2 numbers that are both squares and cubes. Consequently, the 400th term will be 427-2 = 425.
7 0
3 years ago
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