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lana66690 [7]
3 years ago
6

Please explain how you got this answer

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0
It gives 3 choices of toppings, and asks for the number of ways to arrange two toppings. Using the formula they give, n = 3 and k =2. So: \frac{3!}{2!(3-2)!}
Thus, the answer is 3.

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Find the 7th term 18,6,2…
Veseljchak [2.6K]

If we look at the series, one third of the current term gives the numerical value of the next term.

If we need to express it algebraically, we can write the following equation.

  • a_{n+1}=\frac{a_{n}}{3}

Therefore, our common multiplier can be found as follows. Because this sequence is a geometric sequence.

  • \frac{a_{n+1}}{a_{n}} =r=\frac{1}{3}

In geometric sequences, any term can be written in terms of the first term. Below is an example.

  • a_{n}=a_{1}.r^{n-1}

Since we know the numerical values of the first term and the common factor of the series, we can easily find the seventh term.

  • a_{7}=a_{1}.r^{7-1}
  • a_{7}=18.(\frac{1}{3} )^6
  • a_{7}=\frac{2}{81}

6 0
1 year ago
The measure of an ____ angle of a tringle is equal to the sum of the measures of its remote interior angles
Aleonysh [2.5K]

Answer:

Exterior.

Step-by-step explanation:

A triangle has three sides. According to the theorem of exterior angles, the sum of two opposite interior angles is equal to the exterior angle of the triangle.

The sum of angle of triangle is equal to 180 degrees.

ATQ,

The measure of an <u>exterior</u> angle of a triangle is equal to the sum of the measures of its remote interior angles.

7 0
3 years ago
The mass of a jar of sugar is 1.9 kg. What is the total mass of 13 jars of sugar?
elena-s [515]
1.9 times 13 =24.7

The total mass of 13 jars of sugar is 24.7 kg
8 0
3 years ago
There are 8 girls and 5 boys on the math team.Which ratio correctly describes the relationship between boys and girls on the mat
krok68 [10]
8:5 because it’s girls to boys, and that’s the lowest you can simplify them
7 0
3 years ago
OMG HELP ME OUTTTTTTTTTTTTTTTTTT GRRRR
Illusion [34]

Answer:

635.2 cm^3.

Step-by-step explanation:

Volume of the cylinder = π r^2 h

= 3.14 * 4^2 * 5 = 251.2

Volume of the prism = 4 *8 * 12

= 384

Total volume = 384 + 251.2

8 0
2 years ago
Read 2 more answers
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