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hjlf
2 years ago
13

Solve the equation. Round the solution to two decimal places.

Mathematics
2 answers:
navik [9.2K]2 years ago
5 0
Subtract the y values to one side then the numbers to the other so as x values to one side then the numbers to the other
-BARSIC- [3]2 years ago
4 0

Answer:

y = -0.71

x = 8

Step-by-step explanation:

Bring variables on one side of the equation

18.3y - 8.4y = -14.6 + 7.6

4.1x - 0.7x = 25.9 + 1.3

Solve for the variable

9.9y = -7

y = -70/99


3.4x = 27.2

x = 8

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A part selected for testing is equally likely to have been produced on any one of six cutting tools.
JulijaS [17]

Answer:

a)S= (1,2,3,4,5,6)

b) 1/6 or 16.67%

c) 1/3 or 33.33%

d) 5/6 or 83.33%

Step-by-step explanation:

a) Sample space is the list of all the possible sample in this its either tool 1,2,3,4,5 or 6

b) probability of selecting from tool 1 is equally likely to picking from any cutting tool therefore it

1/6 or 16.7%

c) probability of selecting from any tool is 16.7% so probability of selecting from 3 or 5 = 16.67% + 16.67% = 33.3%

d) if the part is not from tool 4 then its from tool 1, or tool 2 or tool 3 or tool 5 or tool 6 therefore its

1/6+1/6+1/6+1/6+1/6 = 5/6 or 8.33%

8 0
3 years ago
What is the solution of 10=|7-3x|
Tom [10]

10=|7-3x| \\ 7-3x=10 \vee 7-3x=-10\\ 3x=-3 \vee 3x=17\\ x=-1 \vee x=\dfrac{17}{3}

5 0
2 years ago
Cara has another candle that is 15 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours?
egoroff_w [7]

Answer:

It has to burn at a rate of 2.25 cm per hour.

Step-by-step explanation:

4 0
3 years ago
Let f(x)=5e^3x and g(x)=2/3ln(5x); find (f(g))(2)
Sedbober [7]

Answer:

<h2>a) 500</h2>

Step-by-step explanation:

(f\circ g)(x)=f\bigg(g(x)\bigg)\\\\(f\circ g)(2)=f\bigg(g(2)\bigg)\\\\f(x)=5e^{3x},\ g(x)=\dfrac{2}{3}\ln(5x)\\\\(f\circ g)(x)\to\text{in}\ f(x)\ \text{replace}\ x\ \text{with the expression}\ \dfrac{2}{3}\ln(5x):\\\\(f\circ g)(x)=5e^{3\cdot\frac{2}{3}\ln(5x)}=5e^{2\ln(5x)}\qquad\text{use}\ \ln a^n=n\ln a\\\\(f\circ g)(x)=5e^{\ln(5x)^2}\qquad\text{use}\ a^{\log_ab}=b\\\\(f\circ g)(x)=5(5x)^2=5(5^2x^2)=5(25x^2)=125x^2\\\\(f\circ g)(2)\to\text{put}\ x=2\\\\(f\circ g)(2)=125(2^2)=125(4)=500

3 0
2 years ago
Rewrite each expression by factoring out the greatest common factor 9b+12
kompoz [17]

Answer:

  3(3b +4)

Step-by-step explanation:

The greatest common factor (GCF) of 9 and 12 is 3, so you're being asked to factor that out.

  9b +12 = 3(3b +4)

_____

The GCF can be found a couple of ways. One of them is to list the prime factors and identify those that are common.

  9b = 3 × 3 × b

  12 = 2 × 2 × 3

For these two terms, the only common factor is 3.

8 0
3 years ago
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