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babunello [35]
3 years ago
6

The midpoint between -7 and 8 is 1/2 t or f

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

  True

Step-by-step explanation:

The midpoint is the average of the values:

  (-7 +8)/2 = 1/2

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Solve ln 2 + ln x = 5. Round to the nearest thousandth, if possible.
azamat

Answer:

The  value of x nearest to thousandths is, 74.207

Step-by-step explanation:

Solve :  \ln 2 + \ln x = 5

\ln represents the logarithmic function with base e.

Using logarithmic properties:

  • \ln (mn) = \ln m + \ln n
  • \ln x = a , then x = e^a

\ln 2 + \ln x = 5

Apply the logarithmic properties; we have

\ln 2x = 5

then;

2x = e^5

or

2x=148.41315910258

Divide both sides by 2 we get;

x = 74.2065796

Therefore, the value of x nearest to thousandths is, 74.207

3 0
3 years ago
Steph took out a simple interest loan that charges 8.5% interest annually. If her original loan amount was for $30,000 and she i
vazorg [7]

Answer:

$81,000

Step-by-step explanation:

A = Final Payment = ?

P = Principal Amount = $30,000

r = Interest Rate = 8.5%

t = Time = 20 Years

A = P(1 + rt)

A = 30,000(1 + 0.085 x 20)

A = 30,000 + 51000

A = $81,000

Hence, Steph will pay $81,000 altogether.

8 0
3 years ago
Which describes changing an angle of rotation?
givi [52]
I think the answer is B). because if the angle is changed if it turned on a fixed point. its changed if it translated or if the rays are changed, neither is it changed if it translated to the right either.
3 0
3 years ago
Read 2 more answers
Rewrite each statement using the appropriate mathematical language 1. There exists a number b belonging to the set B 2. Even num
Shtirlitz [24]

Answer:

1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻

Step-by-step explanation:

1. Let b be the number and B be the set, so mathematically, it is written as

b ∈ B.

2. Let  a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write

∀ a ∈ N; 2a ∈ Z

3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.

Since each set is a subset of the latter set, we write

N ⊂ Z ⊂ Q ⊂ R .

4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write

J ≤ J⁻¹ : J ∈ Z⁻

4 0
3 years ago
Compare a perpendicular bisector and an altitude of a triangle
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Perpendicular bisectors are segment that passes through the mid point of a triangle, while altitude is the perpendicular distance from the base to the opposite vertex.
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