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lisov135 [29]
3 years ago
6

7t-4(-x+.5)-12t (simplify)

Mathematics
1 answer:
inysia [295]3 years ago
4 0
Answer: 
–5t + 4x – 2 

Explanation: 
7t – 4(–x + .5) – 12t 
combine 7t and – 12 
7 – 12 = – 5 
– 4(–x +.5) – 5t 
Now distribute –4:
4x – 2 – 5t 
Rearrange: 
4x – 5t – 2
or 
5t + 4x – 2
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2. To the nearest cent, what is $57.10 decreased by 41%?
dezoksy [38]

Answer:

A) $23.41

Step-by-step explanation:

you would multiply 57.10 by 41%

6 0
4 years ago
A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v>=2i-4tj^
guapka [62]

Given :

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj  .

To Find :

A. The vector position of the particle at any time t .

B. The acceleration of the particle at any time t .

Solution :

A )

Position of vector v is given by :

d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j

B )

Acceleration a is given by :

a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j

Hence , this is the required solution .

5 0
3 years ago
A blue whale calf weighed 2725 kilograms at birth. A blue whale calf gains 90 kilograms of weight each day for the first 240 day
Ivanshal [37]

Answer:the weight after 225 days is

22885 kilograms

Step-by-step explanation:

The initial weight of the blue whale calf at birth is 2725 kilograms. blue whale calf gains 90 kilograms of weight each day for the first 240 days after its birth. The weight increases in arithmetic progression. This means that the first term of the sequence, a is 2725, the common difference, d is 90.

The formula for the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

n is the number of terms of the sequence.

a is the first term

d is the common difference

We want to determine its weight, T225 after 225 days after it’s birth. It means that n = 225

Therefore

T225 = 2725 + (225 - 1)90

T225 = 2725 + 224×90 = 2725 + 20160

T225 = 22885

8 0
3 years ago
Literal Equations: d=gt^2+vt for v
kaheart [24]
d=gt^2+vt\\
vt=d-gt^2\\
v=\dfrac{d-gt^2}{t}
5 0
3 years ago
What is the discriminant of the quadratic equation 3 – 4x = –6x2?
kogti [31]
3-4x=-6x^2
+6x^2=+6x^2
_____________
6x^2+3-4x=0
6x^2-4x+3=0

(-4)^2-4(6)(3)
16-72
Final Answer: -56


5 0
3 years ago
Read 2 more answers
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