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irina [24]
3 years ago
14

4x + 5y=159 what is x and y together

Mathematics
1 answer:
STALIN [3.7K]3 years ago
6 0

Answer:

x=all real numbers

y= all real numbers

Step-by-step explanation:

4x+5y=159

5y=159-4x

4x=159-5y

4x+(159-4x)=159

159=159


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(3x^2+2x-3)(x-1)<br> please help
cupoosta [38]

Answer:

Step-by-step explanation:

(3x^2 + 2x - 3)(x-1)

Expanding the brackets

x(3x^2 +2x - 3) -1(3x^2 +2x -3)

3x^3 +2x^2 -3x -3x^2 -2x + 3

3x^3 - x^2 - 5x + 3

5 0
3 years ago
Evaluate the iterated integral. $$ \int\limits_0^{2\pi}\int\limits_0^y\int\limits_0^x {\color{red}9} \cos(x+y+z)\,dz\,dx\,dy $$
KengaRu [80]
\displaystyle\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\int_{z=0}^{z=x}\cos(x+y+z)\,\mathrm dz\,\mathrm dx\,\mathrm dy=\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\sin(x+y+z)\bigg|_{z=0}^{z=x}\,\mathrm dx\,\mathrm dy
\displaystyle=\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\sin(2x+y)-\sin(x+y)\,\mathrm dx\,\mathrm dy
\displaystyle=\int_{y=0}^{y=2\pi}-\frac12\left(\cos(2x+y)-2\cos(x+y)\right)\bigg|_{x=0}^{x=y}\,\mathrm dx\,\mathrm dy
\displaystyle=\int_{y=0}^{y=2\pi}-\frac12\left((\cos3y-2\cos2y)-(\cos y-2\cos y)\right)\bigg|_{x=0}^{x=y}\,\mathrm dy
\displaystyle=-\frac12\int_{y=0}^{y=2\pi}(\cos3y-2\cos2y+\cos y)\,\mathrm dy
\displaystyle=-\frac12\left(\frac13\sin3y-\sin2y+\sin y\right)\bigg|_{y=0}^{y=2\pi}
=0
4 0
3 years ago
One number is 4 more than another number. If the greater number is x, what is the other number?
saveliy_v [14]

first number: x

second number: x -4

5 0
2 years ago
Last Sunday, the average temperature was 8%, percent higher than the average temperature two Sundays ago. The average temperatur
MArishka [77]

Answer: 1.08T and (1+8/100)T


Step-by-step explanation:

Given: The average temperature two Sundays ago was T degrees Celsius.

Since, last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago.

⇒ The average temperature last Sunday=8\%\ of\ T+T

Since 8%=0.08

Therefore, The average temperature last Sunday=\frac{8}{100}\timesT+T

⇒ The average temperature last Sunday=T(\frac{8}{100}+1)

⇒ The average temperature last Sunday=T(0.08+1)

⇒ The average temperature last Sunday=T(1.08)

Thus, the right option is 1.08T and (1+8/100)T.

4 0
2 years ago
The probability that…. The student is not female or received a degree outside of the field
a_sh-v [17]

Answer:  0.8953 (approximate)

The more accurate value is 0.89528093209023; however, it's not entirely exact either. Round that however you need.

===========================================================

Explanation:

There are 774,517 males and 1,400,843 people who got their degree outside of the field. Add those values

774,517+1,400,843 = 2,175,360

This unfortunately double counts the number of males who got their degree outside of the field (576,228) so we need to subtract that count off

2,175,360 - 576,228 = 1,599,132

------------------------

There are 1,599,132 people who are either

  • A) male
  • B) got their degree outside the field, or,
  • C) both male and got their degree outside the field

This is out of 1,786,179 people total.

We'll divide these two values to get the final answer

(1,599,132)/(1,786,179) = 0.89528093209023

It's not clear how your teacher wants you to round this. If you round it to say 4 decimal places, then you'd get approximately 0.8953

The chances of the student not being a female or receiving their degree outside the field is roughly 89.53%

8 0
2 years ago
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