B. k = 1/2
C. k = 5/2
D. k = 2
Thank you in advance for your help!
Answer:
Option A is correct
k = 2/5
Step-by-step explanation:
The rule of dilation with scale factor k is given by:
As per the statement:
Line AB has a length of 5 cm. The line segment is dilated to produce line A'B', which has a length of 2 cm.
⇒original Length (AB)= 5 cm
and
Image length (A'B') = 2 cm
Apply the rule of dilation we have;
Substitute the given values;
Therefore, the scale factor of the dilation is, 2/5
G(x)=x+3
Find f(x)+g(x)
Answer:
Answer is 5x+2
Step-by-step explanation:
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Answer with explanation:
Total Sample Size = 4,500 Students
Sample Chosen(n) = 130 students
Mean IQ of the Sample,
Standard Deviation,
To Calculate 99% confidence interval for the students' mean IQ score, we will calculate,
Formula for Confidence Interval
The Value of Confidence interval will lie between
⇒ 120 - 1.13 to 120 +1.13
⇒118.87 to 121.13
Option A: 118.87−121.13
whats d?
The solution for \( x \) of the equation \( 8 e^{x}-1=0 \) is
Answer:
Step-by-step explanation:
The equation \(8e^x - 1 = 0\) can be solved to find the value of \(x\).
To solve for \(x\), we need to isolate the exponential term, \(e^x\).
Here are the steps to solve the equation:
1. Add 1 to both sides of the equation to isolate the exponential term:
\(8e^x = 1\)
2. Divide both sides of the equation by 8:
\(\frac{{8e^x}}{8} = \frac{1}{8}\)
3. Simplify:
\(e^x = \frac{1}{8}\)
4. To solve for \(x\), we can take the natural logarithm (ln) of both sides of the equation:
\(\ln(e^x) = \ln\left(\frac{1}{8}\right)\)
5. Since \(\ln(e^x)\) and \(e^x\) are inverse functions, they cancel each other out:
\(x = \ln\left(\frac{1}{8}\right)\)
6. Use the properties of logarithms to simplify further:
\(x = \ln(1) - \ln(8)\)
7. Simplify:
\(x = -\ln(8)\)
Therefore, the solution for \(x\) in the equation \(8e^x - 1 = 0\) is \(x = -\ln(8)\).