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3 years ago

When can we say that a function is continuous?

1 answer:

5 0

Saying a function f is continuous when x=c is the same as saying that the function's two-side limit at x=c exists and is equal to f(c).

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HELP ME PLEASE!!!

ale4655 [162]

Answer: 45 kilometers

Step-by-step explanation:

The equation to solve this problem is:

$165 = 1.4x + 102

The variable x represents the number of kilometers he travels.

To solve the equation:

Subtract 102 from each side-

63 = 1.4x

Next divide each side by 1.4-

45 = x

Teague needs to run 45 kilometers in order to raise $165.

8 0

4 years ago

Read 2 more answers

Two angles of a triangle measure 59 degrees and 63 degrees. If the longest side measures 28 centimeters, find the length of the

sertanlavr [38]

Answer:

26.65 or 58

Step-by-step explanation:

5 0

3 years ago

Cell Phone Towers

Free_Kalibri [48]

Part a
Is it to domsmsmmenemamsmmsne

4 0

3 years ago

Can anyone help me!

zhenek [66]

Answer:

$\large \text{$ \sf 2^{-64}$}$

Step-by-step explanation:

Given:

$\large \text{$ \sf (256)^{-4^{\frac{3}{2}}}$}$

This reads as: 256 to the power of "-4 to the power of 3/2".

Therefore, we need to deal with the "-4 to the power of 3/2" first.

Rewrite the 4 as 2²:

$\large \text{$ \sf \implies -(2^2)^{\frac{3}{2}}$}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies -2^{\left(2 \times \frac{3}{2}\right)}$}$

$\large \text{$ \sf \implies -2^{3}$}$

Therefore:

$\large \text{$ \sf \implies -2^3=(-2)(-2)(-2) = -8$}$

Replace "-4 to the power of 3/2" with -8 :

$\large \text{$ \sf \implies 256^{-8}$}$

Rewrite 256 as 2⁸ :

$\large \text{$ \sf \implies (2^8)^{-8}$}$

$\textsf{Again, apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies 2^{(8 \times -8)}$}$

$\large \text{$ \sf \implies 2^{-64}$}$

In one complete calculation:

$\large\begin{aligned} \sf (256)^{-4^{\frac{3}{2}}} & = \sf (256)^{-(2^2)^{\frac{3}{2}}}\\& = \sf (256)^{-2^{\left(2 \times \frac{3}{2}\right)}}\\& =\sf (256)^{-2^{3}}\\& = \sf (256)^{-8}\\& \sf = (2^8)^{-8}\\& = \sf 2^{(8 \times -8)}\\& =\sf 2^{-64}\end{aligned}$

Learn more about exponent rules here:

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4 0

2 years ago

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(6h-2)(2h+6)=0 please help

Masja [62]

Let's solve your equation step-by-step.(6h−2)(2h+2)=0Step 1: Simplify both sides of the equation.12h2+8h−4=0Step 2: Factor left side of equation.4(3h−1)(h+1)=0Step 3: Set factors equal to 0.3h−1=0 or h+1=0
answer:h=13 or h=−1

5 0

4 years ago