Which represents the solution set of the inequality 5x-9≤21

The last calculator correctly shows (6.47×10⁻¹⁵)/(3.36×10⁻²⁹).

Some common rules of exponents are

a^b/a^c = a^(b - c),

a^b.a^c = a^(b + c).

We can only add and subtract exponents only when we have the same base.

Given, (6.47×10⁻¹⁵)/(3.36×10⁻²⁹).

Here we have base 10 raised to some power.

So,  (6.47×10⁻¹⁵)/(3.36×10⁻²⁹).

=  (6.47×10⁻¹⁵⁻⁽⁻²⁹⁾)/(3.36).

=  (6.47×10⁻¹⁵⁺²⁹⁾)/(3.36).

= (6.47×10¹⁴)/(3.36).

So, the last calculator correctly shows (6.47×10⁻¹⁵)/(3.36×10⁻²⁹).

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Answer: 1/6  1/8

Step-by-step explanation:

Answer:  4 %

Step-by-step explanation:

According to the question,

20% chance of heads landing face up

Therefore, probability of getting a head, [tex]P(H) = \frac{20}{100} = \frac{1}{5}[/tex]

The probability of getting tail, [tex]P(T) = \frac{80}{100} = \frac{4}{5}[/tex]

Thus, the  probability that the coin will land with heads facing up both times

= [tex]\frac{1}{5}\times \frac{1}{5}[/tex]

=   [tex]\frac{1}{25}[/tex]

=   0.04 or 4 %

Thus the required probability is 4 %.

Answer:

The Outlier is 17.

Step-by-step explanation:

Since 17 is far from other numbers of data set. So, it is an outlier.

Also all other numbers in the data set lie between 69 to 82. But 17 is distinct from other numbers. Hence it is an outlier.

Further, Outlier is the observation which is distinct or has a large distance from other observation. Also, Data set is much affected by the outliers.

The correct answer is: C. 189

Just to be sure, I got it right on the test.

Good luck and hope this helped you. Stay brainly!

The algebraic expression that represents the statement 'twenty-five is the quotient of a number y and 3.5' is written as (y / 3.5) = 25.

An explanation of an algebraic expression representing the quotient of a number y and 3.5.

The student is asking to express the statement "twenty-five is the quotient of a number y and 3.5" as an algebraic expression. In algebraic terms, the quotient of y divided by 3.5 is represented by[tex](\frac{y}{3.5})[/tex]or (y / 3.5).

Therefore, the complete algebraic expression that represents this statement is (y / 3.5) = 25.

The algebraic expression for 'twenty-five is the quotient of a number y and 3.5' is 25 = y / 3.5. To find y, you multiply 25 by 3.5.

The algebraic expression that represents the statement 'twenty-five is the quotient of a number y and 3.5' is written as 25 = y / 3.5.

To solve for y, you would multiply both sides of the equation by 3.5 to isolate y. This would give you: y = 25 x 3.5.

Answer: D

15/1 x 1/96 x 36/1 =5.625

To determine the width of each stripe, Savannah needs to divide the total length of the wall by the number of stripes she wants.

To determine the width of each stripe, Savannah needs to divide the total length of the wall by the number of stripes she wants. In this case, the wall is 15 yards long and she wants 96 stripes. So, she should use the calculation 15 yards / 96 stripes = 0.15625 yards. Therefore, each stripe should be approximately 0.15625 yards wide.

The score of Charles' first game was 750 points.

I hope this helped!

Final answer:

The unit price for the insulated socks is found by dividing the total cost of the package, $41.45, by the number of pairs, which is 5. The unit price per pair of insulated socks is $8.29.

Explanation:

To calculate the unit price of the insulated socks, you would divide the total cost of the package by the total number of pairs in the package. Since the package contains 5 pairs and costs $41.45, you would perform the following calculation:

Identify the total cost of the package: $41.45.

Identify the number of pairs in the package: 5 pairs.

Divide the total cost by the number of pairs to find the unit price: $41.45 ÷ 5 = $8.29 per pair.

Therefore, the unit price per pair of insulated socks is $8.29.

The Answer is Option D, which is d.

If f is parallel to g, then c should equal 75 degrees because c and 75 degrees are vertical angles. If C is 75 degrees then D must equal 105 degrees because c and d are both on the left side of line f which means they must add up to 180 degrees, which should get you to this equation: c + d = 180. We can replace c for 75 because we already known that, which should get you: 75 + d = 180. So you should then subtract 75 against 180 to get your answer: d = 105.

Hope this helps, Have a good day!

A Brainliest would be nice.

The question likely pertains to the geometry principle of parallel lines and transversals. To determine which angle would need to measure 105° for line f to be parallel to line g, we'd need more context or a diagram. Typically, congruent corresponding or alternate angles would indicate parallel lines.

This question appears to be related to parallel lines and transversals in geometry. However, without a clear diagram or proper context, it's hard to definitively state which angle should be 105° to prove that f is parallel to g. Typically, corresponding angles, alternate interior angles, or alternate exterior angles are congruent (equal) when two lines are parallel and cut by a transversal. For instance, if 'a' and 'b' form corresponding angles with the transversal, and angle 'a' is given as 105°, then angle 'b' would also be 105° for the lines to be parallel. This corresponds to the angle properties of parallel lines.

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