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worty [1.4K]
2 years ago
6

A pendulum swings through an angle of 20 degrees each second. If the pendulum is 40 inches long how far does the tip move each s

econd? does r= 20 in. or 40 in
Mathematics
1 answer:
Olin [163]2 years ago
3 0

If the pendulum is 40 inches long, its tip moves 13.96” each second. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose
TEA [102]
Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.

Explanation:
Let us evaluate Talia's steps.

Step 1: Select (2, 5) as a point on the line.
            CORRECT

Step 2: Select another point (1, 3) on the line.
            CORRECT

Step 3: Count units to the right and count units up, to determine the slope.
            Units right = 2 - 1 = 1
            Units up = 5 - 3 = 2
            Slope = (Units up)/(Units right) = 2/1 = 2
            INCORRECT because Talia did not obtain a slope of 2.

Step 4: Substitute obtained values in the point-slope form.
             (y - y1) = m(x - x1). If we select the point (1, 3), then
            y - 2 = 2(x - 1).
            Talia's equation is INCORRECT because she used an incorrect value
            for the slope.
8 0
2 years ago
Read 2 more answers
Sam put $2,000 in a savings account at his bank. After 10 years, his account balance was $4,000. The interest rate on the saving
kkurt [141]

rule of 70:

 number of years for savings to double = 70/ interest rate

account doubles in 10 years

 so you have 10 = 70/x

x = 70/10 = 7%

7 0
3 years ago
Read 2 more answers
Which value of a would make the expression 5 1/3 ÷ 4/a equivalent to a whole number?
nordsb [41]

Answer:

a is any number that is multiples of 3

3, 6, 9, 12, etc...

Step-by-step explanation:

5 1/3 ÷ 4/a

16/3 * a/4

16a/12

\frac{4}{3} a

since denominator is 3, a can be any whole number that is a multiple of 3

\frac{4}{3}(3) = 4

\frac{4}{3}(6) = 8

\frac{4}{3}(9) = 12

so on and so on....

8 0
2 years ago
A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. A fre
JulsSmile [24]

Answer:

SD = 7588.09

Step-by-step explanation:

Check the distribution table attached to for the step by step solution:

The formula for the mean, \bar{x} = \frac{\sum fx}{\sum f}

\bar {x} = \frac{1410040}{80} \\\bar {x} = 17625.5

The variance , V(X) = \sqrt{\frac{\sum f(x - \bar{x}^2)}{n-1} }

V(X) = \frac{4548750000}{80 - 1} \\V(X) = 57579113.92

Standard Deviation,

SD = \sqrt{V(X)} \\SD = \sqrt{57579113.92}

SD = 7588.09

7 0
2 years ago
Read 2 more answers
Round 7.4304909778 to the nearest millionth.
diamong [38]

Answer:

7.430491

Step-by-step explanation:

Round the number based on the sixth digit. That is the millionth.

6 0
2 years ago
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