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devlian [24]
3 years ago
11

What is the solution to the equation below? Round your answer to two decimal places. 4•e^x=17

Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer:

\large\boxed{x\approx1.45}

Step-by-step explanation:

4e^x=17\qquad\text{divide both sides by 4}\\\\e^x=\dfrac{17}{4}\qquad \ln\ \text{of both sides}\\\\\ln e^x=\ln\dfrac{17}{4}\qquad\text{use}\ \log_aa^n=n\\\\x=\ln\dfrac{17}{4}\\\\x\approx1.45

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What should you substitute for y in the bottom equation to solve the system by the substitution method?
Contact [7]
Answer: y= -x-5


Step 1: Determine which equation to change

Since we will be using the substitution method, we will need to substitute y from the bottom equation with information from the top equation. This will be the equation we change.

Step 2: Change the equation

Let’s rewrite the equation we will be working with.

3x+3y= -15

Our goal will be to get y alone on the left side. To start, let’s subtract 3x from both sides, leaving only 3y on the left side.

3x+3y= -15
3y= -3x-15

Now we need to get y completely alone by eliminating the coefficient of 3. Let’s do this by dividing each term by 3.

3y= -3x-15
y= -x-5


This is your answer. Hope this helps! Comment below for more questions.
3 0
3 years ago
A researcher posts a newspaper advertisement offering $20 in exchange for participation in a short study. The researcher accepts
Alborosie

Answer:

C : VALID

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Graham recruited student volunteers to participate in his dissertation study. He set up several times for students to come to a
mart [117]

Answer:

Sampling bias

Step-by-step explanation:

Bias refers a prominent problem in statistical analysis whereby one or more analytical factor are favored than the other during an analysis which should be made random. The problem. With Graham's dissertation study is the fact that he failed to randomlyvplace his subjects or observation in the study groups, favoring a particular group with non random subset. When randomization is ejected or missing from an analysis or study, it becomes less and less representative. Here, allotting early Arrivals Into the treatment group has introduced a sampling bias as those who came later, this will also leads to less reproducibility of experiment.

6 0
3 years ago
Find the area and the perimeter of the shaded regions below. Give
PolarNik [594]

Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.

<h3>How to find the area of the composite figure</h3>

The area of the <em>composite</em> figure is the sum of two areas, the area of a semicircle and the area of a <em>right</em> triangle. The formula for the area of the composite figure is described below:

A = (1/2) · AB · BC + (π/8) · BC²     (1)

If we know that AB = 6 cm and BC = 6 cm, then the area of the composite figure is:

A = (1/2) · (6 cm)² + (π/8) · (6 cm)²

A ≈ 32.137 cm²

Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.

To learn more on composite figures: brainly.com/question/1284145

#SPJ1

8 0
2 years ago
URGENT HELP ME OUT PLEASE 20 points <br><br> What are the solutions to the quadratic equation?
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I think it’s c hope this helps you :)
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3 years ago
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