MATHEMATICS HIGH SCHOOL

What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125

Answers

Answer 1
Answer: Since the sequence is geometric, there is some constant r such that the sequence is recursively given by

a_n=ra_(n-1)

By this definition, you can recursively substitute into the right hand side the definition for a_(n-1),a_(n-2),\ldots to find an explicit formula for the nth term.

a_n=ra_(n-1)=r^2a_(n-2)=r^3a_(n-3)=\cdots=r^(n-1)a_1=-625r^(n-1)

You know the second term, which means you can find r:

a_2=-625r^(2-1)\implies125=-625r\implies r=-\frac15

So, the 7th term of the sequence is

a_7=-625\left(-\frac15\right)^(7-1)=-\frac1{25}
Answer 2
Answer:

Answer:

-0.04 is the answer

Step-by-step explanation:

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The list below shows all the possible outcomes for tossing a coin and rolling 1 to 6 number cube. What is the probability that max tosses heads and rolls a number greater than two

Answers

Answer:

1/3

Step-by-step explanation:

In the coin there is heads or tails (2 possible results), so the probability of tossing heads is 1/2

For the number cube, we have 6 possible results. If we want a result greater than two, we have 3, 4, 5 or 6, so we have 4 of the 6 results, then the probability is 4/6.

Now, to find the final probability, we multiply both probabilities above:

Probability = (1/2) * (4/6) = 2/6 = 1/3

Find the area of the triangle. Figure is not drawn to scale. Show your work. (Image attached)Thanks so much in advance !! :))

Answers

Answer: 13.8cm^2

Step-by-step explanation:

The area of a triangle can be calculated with the formula:

A_((triangle))=(b*h)/(2)

The base of the triangle is "b" and the height of the triangle is "h",

In the figure you can observe that the base and the height of the triangle are:

b=6.9cm\nh=4cm

Knowing these values, you can substitute them into A_((triangle))=(b*h)/(2).

Therefore, the area of the triangle is:

A_((triangle))=((6.9cm)(4cm))/(2)

A_((triangle))=13.8cm^2

Midpoint of (4,7) and (10,3)

Answers

Answer:

(7,5)

Step-by-step explanation:

x1 +x2 /2

4+10/2=7

y1 + y2/2

7 +3=10/2 =5

The answer is (7,5).

An equilateral triangle has an altitude length of 27 feet. Determined the length of a side of the triangle

Answers


27 radical 2 feet because its a special 30-60-90 triangle

What's the product of these binomials (x-9) (x+2)

Answers

Answer:

(x-9)*(x+2)=x^2 - 7x -18

Step-by-step explanation:

Let's find the solution, but first we need to understand the following:

multiplication of binomials establish that:

(a-b)*(c+d)=(a*c) + (a*d) + ((-b)*(c)) + ((-b)*(d))

now, because your binomials are (x-9) and (x+2), using the above we obtain:

(x-9)*(x+2)=(x*x) + (x*2) + ((-9)*x) + ((-9)*2)

which can be simplified as:

(x-9)*(x+2)=x^2 + 2x - 9x -18

giving the solution:

(x-9)*(x+2)=x^2 - 7x -18

Answer:

x^(2)-7x-18

Step-by-step explanation:

Please help me vote you brainiest

Answers

Answer:

1/5 = 0.2 so, she can drink 0.1 of a gallon each day

to turn a fraction into a decimal you should do..

1/5 since 5 can't go into 1 you add a 0 to the 1 making it a 10 and move the decimal point, since 5 goes into 10, 2 times, we get 0.2
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