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lesya [120]
3 years ago
14

Solve the equation -10x + 1 + 7 = 37

Mathematics
2 answers:
Aneli [31]3 years ago
6 0

Answer:

-2.9

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like factors.

-10x + 8 = 37

Subtract 8 from both sides.

-10x = 29

Divide both sides by -10.

x = -2.9

algol133 years ago
5 0

Answer:

x = -29/10 = -2 9/10

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like terms

-10x +8 = 37

Subtract 8 from each side

-10x + 8-8 = 37-8

-10x = 29

Divide each side by -10

-10x/-10 = 29/-10

x = -29/10

x = -2 9/10

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The table shows the results of a poll of 200 randomly selected juniors and seniors who were asked if they attended prom. Find th
Zielflug [23.3K]

Answer:

(a)\frac{7}{25}

(b)\frac{19}{116}

(c)\frac{28}{125}

Step-by-step explanation:

Number of juniors who attended prom,n(J)=28

Number of seniors who attended prom,n(S)=97

  • Total of those who attended prom=125

Number of juniors who did not attend prom,n(J')=56

Number of seniors who did not attend prom,n(S')=19

  • Total of those who attended prom=75
  • Total Number of students=200

(a) P (a junior who did not attend prom)

P(J')=\frac{56}{200}= \frac{7}{25}

(b)

P(Senior)=\frac{116}{200}

P ($did not attend prom$ | senior)=\frac{\text{P(seniors who did not attend prom)}}{P(Senior)} \\=\frac{19/200}{116/200} \\=\frac{19}{116}

(c)P (junior | attended prom)

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3 0
3 years ago
Read 2 more answers
HELP! WILL GIVE BRANLIEST!
avanturin [10]

Answer: 5           Hope this helped-

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3 years ago
Find the Laplace transformation of each of the following functions. In each case, specify the values of s for which the integral
MAVERICK [17]

Answer:

a. \frac {2} {s-1} converges to s> 1.

b. \frac{3}{e^3 \left(s-5 \right)} converges to s> 5.

c. - \frac {2}{s + 3} converges to s> - 3.

d. \frac {s}{s^2 + 25} converges to s> 0.

e. \frac {10} {s^2 + 1} converges even s> 0.

f. \frac {12}{s^2 + 4} converges to s> 0.

g. -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4} converges to s> 0.

h. \frac {1} {s ^ 2 + 4} converges to s> 0.

Step-by-step explanation:

a. L \left\{2e^t \right\} = 2L \left\{e^t \right\} = 2 \cdot \frac {1} {s-1} = \frac {2} {s-1} converges to s> 1.

b. L \left\{3e^{5t-3} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = \frac{3}{e^3 \left(s-5 \right)} converges to s> 5.

c. L \left\{-2e^{-3t} \right\} = -2L \left\{e^{-3t} \right\} = - \frac {2}{s + 3} converges to s> - 3.

d. L \left\{\cos\left (5t \right)\right\} = \frac {s}{s^2 + 25} converges to s> 0.

e. L \left\{10 \sin\left(t\right)\right\} = 10L\left\{\sin\left(t\right)\right\} = \frac {10} {s^2 + 1} converges even s> 0.

f. L \left\{6\sin \left(2t \right) \right\} = 6L\left\{\sin\left (2t\right)\right\} = \frac {12}{s^2 + 4} converges to s> 0.

g. L \left\{-5\cos\left(2t + 1\right) \right\} = -5L\left\{\cos\left(2t + 1 \right)\right\} = -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4} converges to s> 0.

h. L\left\{\sin \left(t\right)\cos \left(t\right)\right\} = L\left\{\sin\left(2t\right)\frac{1}{2}\right\} =\frac{1}{2}\cdot \frac{2}{s^2+4} = \frac {1} {s ^ 2 + 4} converges to s> 0.

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4 years ago
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