Suppose you earned 7t -1 dollars on monday and 8t + 5 on tuesday. what are your total earnings? simplify your answer

Mathematics

1 answer:

ira [324]2 years ago

5 0

You are correct! You added the two amounts together. Combined the like terms, 7t +8t=15t and -1+5=4

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List the potential solutions to 2 ln x = 4 ln 2 from least to greatest.

svp [43]

We have to find the potential solutions to $2 ln x = 4 ln 2$ from least to greatest.

Using the properties of ln function.

$a \times ln b = ln b^{a}$

Therefore, we get

$ln x^{2} = ln 2^{4}$

$ln x^{2} = ln 16$

taking antilog on both the sides, we get

$x^{2} = 16$

So, $x = \pm 4$

Therefore, the potential solutions to 2 ln x = 4 ln 2 from least to greatest is -4 and 4.

3 0

2 years ago

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Solve the triangle. A = 19°, C = 102°, c = 6

GrogVix [38]

We know that

Law of sines established
a/sin A=b/sin B=c/sin C

then
a/sin A=c/sin C------------> a=c*sin A/sin C---------> a=6*sin 19/sin 102
a=1.91 units <span>≈2 units

A+B+C=180</span>°----------> B=180-(A+C)-----> B=1180-(19+102)
B=59°
a/sin A=b/sin B-----------> b=a*sin B/sin A----->2*sin 59/sin 19
b=5.27 units <span>≈5.3 units</span>

the answer is the option
B = 59°, a ≈ 2, b ≈ 5.3

7 0

2 years ago

At 11:00 a.M., there are 400 members and 150 non-members visiting a museum. After 11:00 a.M., 10 members leave every five minute

alexdok [17]

Answer:

$16:27$

Step-by-step explanation:

GIVEN: At $11:00\text{ A.M.}$ , there are $400$ members and $150$ non-members visiting a museum. After $11:00\text{ A.M.}$ , $10$ members leave every five minutes and $5$ non-members arrive every five minutes.