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vlabodo [156]
4 years ago
11

In the cordinate plane what is the length of the line segment that connects points at (0, -1) and (-7, -2) ? Enter your answer i

n the box. Round to the nearest hundredth.
Mathematics
1 answer:
allsm [11]4 years ago
4 0

Answer:

≈ 7.07

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (- 7, - 2)

d = \sqrt{(-7-0)^2+(-2+1)^2}

  = \sqrt{(-7)^2+(-1)^2}

  = \sqrt{49+1} = \sqrt{50} ≈ 7.07

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A group of biologists is surveying the mice population in a forest. The equatio n=75 times 3t gives the total number of mice, n,
enot [183]

I think the equation should be

n=75\cdot3^t

where 3 is the common ratio of the exponential function

so the answer is C.

4 0
1 year ago
What is the graph line for this problem? <br> x+3y=9
Katarina [22]
x+3y=9\ \ \ \Rightarrow\ \ \ 3y=-x+9\ \ \ \Rightarrow\ \ \ y=- \frac{1}{3} x+3\\\\x=0\ \ \ \Rightarrow\ \ \ y=- \frac{1}{3} \cdot0+3=0\ \ \ \Rightarrow\ \ \ point:\ (0;3)\\\\y=0\ \ \ \Rightarrow\ \ \ x+3\cdot0=9\ \ \ \Rightarrow\ \ \ x=9\ \ \ \Rightarrow\ \ \ point:\ (9,0)

3 0
3 years ago
Which equation has the solution x = 12?
Hoochie [10]

Answer:

D). last one

Step-by-step explanation:

a. 4x+3=45

4x=42

x=10.5 (incorrect)

b. 5x-8=68

5x=76

x=25.2 (incorrect)

c. 2x-5=29

2x=34

x=17 (incorrect)

d. 3x+6=42

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x=12

6 0
4 years ago
It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig
Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let \mu denotes the average hours of sleep per night.

As per given , we have

H_0:\mu=7\\H_a:\mu

, since H_a is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : \overline{x}=7.24

Sample  standard deviation : s= 1.93

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e.  t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58

For significance level \alpha=0.05 and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= t_{\alpha, df}=t_{0.05,21}=- 1.7207

Decision : Since the test statistic value (0.58) > critical value  1.7207, it means we are failed to reject the null hypothesis .

[Note : When |t_{cal}|>|t_{cri}|, then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0
3 years ago
You need to buy 3 computers for your employees. When you buy them online they cost $580 a piece and when you them in the store t
Anettt [7]

Answer:

$117

Step-by-step explanation:

580x3=1,740

619x3=1857

1857-1740=117

So you would save $117 online.

3 0
3 years ago
Read 2 more answers
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