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azamat
3 years ago
7

Evaluate x^-2 for x = -3.

Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0
F(x)=(x)^(-2)
f(-3)=(-3)^(-2)
f(-3)=(9)^(-1)
f(-3)=(1/9)
Mariulka [41]3 years ago
7 0
x^{-2}= \cfrac{1}{x^2}= \cfrac{1}{(-3)^2} = \cfrac{1}{9}
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The ratio of the angles in a triangle is 5:9:10. what is the measure of the largest angle?
Maksim231197 [3]

The measure of the largest angle is 75 degrees.

<h3>What is a triangle? </h3>

A triangle is a polygon with three sides and vertices. The sum of angles in a triangle is 180 degrees. Types of triangles include: right-angled triangle, isosceles triangle, equilateral triangle and scalene triangle.

<h3>What is the measure of the largest angle? </h3>

The measure of the largest angle = (largest ratio / sum of ratios) x 180

10 / 24 x 180 = 75 degrees

Please find attached an image of a triangle. To learn more about a triangle, please check: brainly.com/question/9329354

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3 years ago
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Step-by-step explanation:

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In triangle​ ABC, the size of angle B is 3 times the size of angle​ A, and the size of angle C is 12degrees less than 6 times th
Dahasolnce [82]

Answer:

A=19.2^o\\B=57.6^o\\C=103.2^o

Step-by-step explanation:

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180 ----> equation a

B=3A ----> equation b

C=6A-12 ----> equation c

Solve the system by substitution

Substitute equation b and equation c in equation a

A+3A+6A-12=180

Solve for A

10A=180+12\\10A=192\\A=19.2^o

Find the measure of angle B

B=3(19.2^o)=57.6^o

Find the measure of angle C

C=6(19.2)^o-12=103.2^o

5 0
3 years ago
Naomi surveyed 480 of the students in her school about their favorite color. 95% said their favorite color was red. How many stu
Nikolay [14]

Answer:

456 students

Step-by-step explanation:

In order to find 95% of the 480 students, you can set up the equation below:

\frac{students}{total} = \frac{percent}{100percent}

\frac{x}{480students} =\frac{95percent}{100 percent}

x * 100 = 480 * 95

x = 45600 / 100 = 456

95% of 480 students is 456 students.

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3 years ago
Tumor counts: A cancer laboratory is estimating the rate of tumorigenesis in two strains of mice, A and B. They have tumor count
Igoryamba

Answer:

The observed tumor counts for the two populations of mice are:

Type A mice = 10 * 12 = 120 counts

Type B mice = 13 * 12 = 156 counts

Step-by-step explanation:

Since type B mice are related to type A mice and given that type A mice have tumor counts that are approximately Poisson-distributed with a mean of 12, we can then assume that the mean of type A mice tumor count rate is equal to the mean of type B mice tumor count rate.

This is because the Poisson distribution can be used to approximate the the mean and variance of unknown data (type B mice count rate) using known data (type A mice tumor count rate).  And the Poisson distribution gives the probability of an occurrence within a specified time interval.

3 0
3 years ago
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