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2 years ago

Estimate 0.067238149 to the nearest hundredth. Express your answer as a single digit times a

Mathematics

2 answers:

spin [16.1K]2 years ago

5 0

Answer:

7 x $10^{-2}$

Step-by-step explanation:

1. Estimate 0.067238149 to the nearest hundredth.

In the decimal 0.067238149, 6 is in the hundredth position. So round decimal to 0.07, since the 7 in the original decimal 0.067238149, which is in the thousandths position, is 5 or more.

2, Express your answer as a single digit times a power of ten.

0.07 becomes 7.

Then, to get the power of ten, in the original decimal 0.067238149, place an imaginary decimal between the 6 and 7. Next, count to the left to find out how many places there are to the original decimal. There are 2 spaces.

Therefore, the answer is 7 x $10^{-2}$ .

Maurinko [17]2 years ago

4 0

Answer:

0.07

Step-by-step explanation:

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3 years ago

Steps to solve x/8-5=-1

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3 years ago

Determine whether the data described below are qualitative or quantitative and explain why.

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3 years ago

In the figure, the measure of angle 9 is 80 degrees and the measure of angle 5 is 68. Find the measure of each angle.

murzikaleks [220]

Answer/Step-by-step explanation:

Given:

m<9 = 80°,

m<5 = 68°

Lines w and v are parallel to each other.

m<1 = m<9 (corresponding angles theorem)

m<1 = 80°

m<2 + m<1 = 180° (linear pair)

m<2 + 80° = 180° (substitution)

m<2 = 180° - 80°

m<2 = 100°

m<3 = m<1 (vertical angles are congruent)

m<3 = 80°

m<4 = m<2 (vertical angles are congruent)

m<4 = 100°

m<6 + m<5 = 180° (linear pair)

m<6 + 68° = 180° (substitution)

m<6 = 180° - 68°

m<6 = 112°

m<7 = m<5 (vertical angles)

m<7 = 68°

m<8 = m<6 (vertical angles)

m<8 = 112°

m<10 = m<2 (corresponding angles)

m<10 = 100°

m<11 = m<9 (vertical angles)

m<7 = 80°

m<12 = m<10 (vertical angles)

m<12 = 100°

m<13 = m<5 (corresponding angles)

m<13 = 68°

m<14 = m<6 (corresponding angles)

m<14 = 112°

m<15 = m<13 (vertical angles)

m<15 = 68°

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3 years ago

Which of the following expressions correctly uses the properties of summations to represent

madam [21]

Answer:

Option C is correct.

$7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Step-by-step explanation:

Given the expression: $\sum_{i=1}^{18} (7i^2+9)$

Using properties of summation:

$\sum_{i=1}^{n} (a+bi) =\sum_{i=1}^{n} a + \sum_{i=1}^{n} bi$

$\sum_{i=1}^{n} a = an$

Using properties of summation in the given expression we have;

$\sum_{i=1}^{18} (7i^2+9)$

= $\sum_{i=1}^{18} 7i^2 + \sum_{i=1}^{18} 9$

= $7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Therefore, the following given expression uses the properties of summation to represents is, $7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

8 0

3 years ago

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