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Ivanshal [37]
4 years ago
10

Measure the length of the top of your desk in centimeters. Describe how you found the length

Mathematics
1 answer:
dsp734 years ago
6 0

Answer:

55 centimeters

Step-by-step explanation:

Ok buddy, just say like 55 centimeters, and say you used a measuring tape.

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2. In the data set below, what is the median? 9, 4, 9, 2, 8, 2,1 <br>a. 9 b. 1 с. 2 d. 4​
Marrrta [24]

Answer:

d

Step-by-step explanation:

it's 4 because I'd you put the numbers from least to greatest its in the middle

6 0
3 years ago
Read 2 more answers
Multiply the equation 2x+2y=8 by 3. Does the equation have the same solution set?
stepan [7]

Multiply the equation:

2x+2y=8 \mapsto 6x+6y=24

The solution set is the same, because multiplying both sides of an equation by a non-zero number doesn't change the solution set. In fact, if you rewrite the equation as

2x+2y-8=0

Multiplying this by 3 (or whatever number, for all it matters) gives

3(2x+2y-8)=0

Now, a product is zero if and only if at least one of the factor is zero. So, either 3=0 or 2x+2y-8=0

Since the first is clearly impossible, the second one must be true, which is the original equation.

3 0
4 years ago
What is the sum of the geometric sequence 3,12,48... if there are 8 terms?
s344n2d4d5 [400]

Answer:

  C)  65,535

Step-by-step explanation:

You can add up the 8 terms ...

  3, 12, 48, 192, 768, 3072, 12288, 49152

to find their sum is 65535.

_____

<em>Estimating</em>

Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.

_____

<em>Using the formula</em>

You know the formula for the sum of a geometric sequence is ...

  S = a1(r^n -1)/(r -1)

where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).

Filling in the values, you find the sum is ...

  S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535

6 0
3 years ago
After how many years, to the nearest whole year, will an investment of $100,000 compounded quarterly at 4% be worth
Irina-Kira [14]

9514 1404 393

Answer:

  19 years

Step-by-step explanation:

The compound interest formula tells you the future value of principal P invested at annual rate r compounded n times per year for t years is ...

  A = P(1 +r/n)^(nt)

Solving for t, we get ...

  t = log(A/P)/(n·log(1 +r/n))

Using the given values, we find t to be ...

  t = log(2.13022)/(4·log(1 +0.04/4)) ≈ 19.000

The investment will be worth $213,022 after 19 years.

5 0
3 years ago
The graph of a function in the form f(x) a(x - h)2 +k is shown. Use the graph to find an equation for f(x).
seropon [69]
O.K.

(h; k) are the coordinates of the vertex.

On the graph are (3; 4), therefore we have:

f(x)=a(x-3)^2+4

We have the x-intercept (1; 0) → x = 1; y = 0.
Substitute them in the equation:

0=a(1-3)^2+4\\\\0=a(-2)^2+4\\\\4a+4=0\ \ \ |-4\\\\4a=-4\ \ \ \ |:4\\\\a=-1

so. We have the answer:

\boxed{f(x)=-(x-3)^2+4}

8 0
3 years ago
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