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IrinaK [193]
3 years ago
7

The number 0.14356712341… never repeats or terminates. The number is number. Rounded to the nearest thousandth, it is

Mathematics
1 answer:
Alenkinab [10]3 years ago
3 0
0.144 because the number after 3 is 5 and that rounds the 3 to a 4.
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Help me please<br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20ln%28x%20%7B%20%7D%20%5E%7B2%7D%20%2B%202%20%29%20" id="
CaHeK987 [17]
➡Answer: x=√(e^y-2)

❇Explanation:
Step1: Let f(x)=y,then

↪y=ln(x²+2)

Step2: Converting it into exponential form,

↪e^y=x²+2

↪x²=e^y-2

Step3: Taking square root of both sides,

↪x=√(e^y-2)

❇Note:

ln means log with base e.

So in step 2 , base e of ln (x²+2) goes to other side in the form e^y. That is simply the property of log I used there..

Hope this helps!
3 0
3 years ago
Please help me? _XYZ is translated 4 units up and 3 units left to yield _X_Y_Z_. What is the distance between any two correspond
natka813 [3]
<span>Every point went up 4 units and left 3 units.
</span><span>Point X on the triangle moved up 4 and left 3. That formed a right triangle with legs 4 and 3. The distance point X moved to point X', d, is the hypotenuse of the right triangle.
</span><span>Using the Pythagoras Theorem
</span><span><span>3^2</span>+<span>4^2</span>=<span>d^2
d = 5

</span></span>
7 0
3 years ago
What is the constant of proportionality between y and x in the graph?
KatRina [158]

Answer:

y=3x

Step-by-step explanation:

y=kx, where k is constant

3y, 1x...so 3y = 1x

check: looking at the graph at 4.5y, 1.5x where y and x intersect...

4.5=3(1.5)

3 x 1.5 = 4.5

3 0
2 years ago
Steve said that [5, 12) is the interval notation that represents the set of all real numbers greater than or equal to 5 and less
RideAnS [48]

Answer:

Steve

Step-by-step explanation:

Because it means greater than or equal to

3 0
3 years ago
30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...
Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is -\frac{1}{4}

Thus, r=-\frac{1}{4}

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is a_{n}=a_{1} \cdot r^{n-1}

To find the fifth term, substitute n=5 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}

To find the sixth term, substitute n=6 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}

To find the sum of the first six terms:

The general formula to find Sn for |r| is S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}

\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}

Thus, the sum of first six terms is 38.39

5 0
3 years ago
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