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Ipatiy [6.2K]
3 years ago
10

If the nth term of a sequence is 10n what is the 12th term

Mathematics
2 answers:
Lisa [10]3 years ago
6 0

Answer:

10th term is 120.555

Step-by-step explanation:

ser-zykov [4K]3 years ago
4 0
The 12th term in the sequence is 120

To find this, you substitute 12 for n in 10n
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If you can buy 15 bags of potatoes for $20, then how many can you buy with $4?
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

15 bags for $20 can be represented with 15/20
so x bags for $4 can be represented with x/4

now if you proportion it out (ricochet), 4x15 is 60, 60 divided by 20 is 3, so you can buy 3 bags of potatoes with $4.

OR

you could do 15/20 is 0.75

0.75 times 4 is 3, so $4 can buy you 3 bags.

8 0
2 years ago
Read 2 more answers
The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.
andrey2020 [161]

Answer:

\frac{145}{24}\approx 6***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

(0,3)

(2,8)

(6,5)

Step-by-step explanation:

I see that the graph crosses at (0,3),(2,8), and (6,5).

The equation y=ax^2+bx+c tells us the y-intercept is c since when x=0 we have y=a(0)^2+b(0)+c=0+0+c=c.

The y-intercept for our graph is 3. Therefore, c=3.

So far we have the equation:

y=ax^2+bx+3.

Let's enter the other points creating a system of linear equations to solve:

8=a(2)^2+b(2)+3

5=a(6)^2+b(6)+3

Let's simplify:

8=4a+2b+3

5=36a+6b+3

Let's subtract 3 on both sides:

5=4a+2b

2=36a+6b

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

-15=-12a-6b

2=36a+6b

Now adding the equations results in:

-13=24a

Divide both sides by 24:

\frac{-13}{24}=a

Now using one of the equations we can find b:

5=4a+2b with a=\frac{-13}{24}

5=4\frac{-13}{24}+2b

5=\frac{-13}{6}+2b

Add 13/6 on both sides:

5+\frac{13}{6}=2b

\frac{30+13}{6}=2b

\frac{43}{6}=2b

Divide both sides by 2:

\frac{43}{2(6)}=b

\frac{43}{12}=b

So we have the equation:

y=\frac{-13}{24}x^2+\frac{43}{12}+3

Let's evaluate a+b+c now:

\frac{-13}{24}+\frac{43}{12}+3

\frac{-13+86+72}{24}

\frac{73+72}{24}

\frac{145}{24}

4 0
3 years ago
Work out the mean for the data set below:
mafiozo [28]

Answer:

3.4 + 5.2 + 4.7 + 3.5 + 0.5

= 17.3

There are a total of 5 numbers

17.3 / 5

= 3.46

8 0
3 years ago
What's the diameter of 76cm circle circumference
pochemuha

Answer:

The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.

For example):

Finding diameter - 76/3.14 = 24.19 (d)

Finding radius - 24.19/2 = 12.095 (r)

6 0
3 years ago
Please help. 10 points and brainliest.
Snezhnost [94]

Answer:

\frac{a^2}{b^2}

Step-by-step explanation:

Apply the exponent rule a^b*a^c=a^b+c to a

a^4*a^-^2=a^4^-^2=a^2

b^3a^2b^-^5

Apply the exponent rule to b

b^3*b^-^5=b^3^-^5=b^-^2

Apply the exponent rule a^-^b=\frac{1}{a^b}

b^-^2=\frac{1}{b^2}=\frac{1}{b^2}a^2=\frac{a^2}{b^2}

6 0
3 years ago
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