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Strike441 [17]
2 years ago
7

1. Find the measure of angle p.

Mathematics
1 answer:
geniusboy [140]2 years ago
8 0

Answer:

67

Step-by-step explanation:

To find exterior angles you add non-adjacent interior angles.

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Explain in a complete sentence how to tell the difference between the power of power and the power of product rule. Please help
german

Answer:


Step-by-step explanation:

The power of a power rule is when power is raised to another power. (x^n)^m.  when you do this rule, you must multiply the exponents so, x^nm or x^n*m.

The product rule for exponents is used when there are multiple terms that are raised by an exponent that have the same base and ae being multiplied. x^3 * x^2. To solve this, you keep the base (x) and add the two exponents together (3 and 2) so, x^3+2 = x^5.

Hope this helped (:

4 0
3 years ago
Pasta comes with tomato sauce and can be ordered with some, all, or none of these ingredients in the sauce: {onions, garlic, car
Radda [10]

Answer:

FORMULA USED-

NUMBER OF SUBSETS OF A SET WITH n ELEMENTS= 2^n

Here our set is { onions, garlic, carrots, brocoli, shrimp, mushrooms, zucchini, green pepper}

Different variations available for ordering pasta with tomato sauce= 28 = 256 ( As here n= 8)

8 0
3 years ago
Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i
Marina86 [1]

Step 1 ) Move all terms right side of the equation.

\displaystyle\ x^{2} + 6x = -18

\displaystyle\ x^{2} + 6x + 18 = -18 + 18

\displaystyle\ x^{2} +6x + 18 = 0

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

\displaystyle\ x^{2} +6x + 18 = 0

\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}

\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

Step 3 ) Simplify.

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

\displaystyle\ x = -3+ 3i,

\displaystyle\ x = -3 - 3i

Since the options only provide one of the answer we found, the answer is...

\displaystyle\ x = -3 - 3i

•

•

- <em>Marlon Nunez</em>

6 0
3 years ago
Read 2 more answers
A random sample of eighty-five students in Chicago city high schools takes a course designed to improve SAT scores. Based on the
erica [24]

Answer:

(B) The correct interpretation of this interval is that 90% of the students in the population should have their scores improve by between 72.3 and 91.4 points.

Step-by-step explanation:

Confidence interval is the range the true values fall in under a given <em>confidence level</em>.

Confidence level states the probability that a random chosen sample performs the surveyed characteristic in the range of confidence interval. Thus,

90% confidence interval means that there is 90% probability that the statistic (in this case SAT score improvement) of a member of the population falls in the confidence interval.

7 0
3 years ago
6. (5 points) What is 3loga + logb − logc written as a single logarithm?
Jobisdone [24]

Answer: log(\frac{a^3b}{c})

Step-by-step explanation:

You need to use the following Properties of Logarithms:

1)m*log(a)=log(a)^m\\\\2)log(a)+log(b)=log(ab)\\\\3)log(a)-log(b)=log(\frac{a}{b})

Given the following expression:

3log(a) + log(b) - log(c)

You can follow these steps in order to write it as a single logarightm:

- Apply the first property shown above:

=log(a)^3 + log(b) - log(c)

- Apply the second property:

=log(a^3b)- log(c)

- Finally, apply the third property:

=log(\frac{a^3b}{c})

4 0
3 years ago
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