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Igoryamba
3 years ago
14

Write an algebraic expression in which one term is the product of two variables and write an expression that is the sum of a pro

duct and a constant.
Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

Step-by-step explanation:

No Body answrred be olszz shsssnss ssnsksje

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How much work is done lifting a 5 kg ball from a height of 2 m to a height of 6 m? (Use 10 m/s for the acceleration
Sedbober [7]
<h2>Explanation:</h2>

In physics, work is defined force that causes displacement. So this can be expressed by the following equation:

W=Fs

Where:

F:Force \\ \\ s:Displacement

The force can be found as:

F=ma \\ \\ F=5(10)=50N

And for the displacement:

s=6-2=4m

The force (weight) is down and the displacement is up, then the work must be negative. So:

W=-(50)(4) \\ \\ \boxed{W=-200J}

8 0
2 years ago
The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:
blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}

  =\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182

Compute the standard deviation as follows:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

      =\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0
2 years ago
Use substitution to solve each system of equations <br> Y=2x-2<br> Y=x+2
Alik [6]
Y = 2x - 2 ⇒ 2x - y = 2  ⇒ 2x - y = 2
y = x + 2  ⇒ x - y = -2   ⇒ <u>2x - 2y = -4</u>
                                                 <u>3y</u> = <u>6</u> 
                                                  3     3
                                                   y = 2
                                            2x - 6 = 2
                                            <u>      +6   +6</u>
                                                 <u>2x</u> = <u>8</u>
                                                  2     2
                                                   x = 4
                                             (x, y) = (4, 2)

8 0
3 years ago
A dozen apple costs $2.55.at this rate how much would 8 apple cost?
vladimir2022 [97]
12=2.55 how about 8
8 x 2.55 divided by 12=$1.7
8 0
3 years ago
1. Layne rode his bike from Point A to B by
postnew [5]

Answer:

cherry street is 85 yards, while orange dr. and peach ave. is 113 yards, meaning that cherry st. is 28 yards faster

Step-by-step explanation:

(85 x 85) - (77 - 77) = 1296

square root of 1296 is 36

77 + 36 = 113

113 - 85 = 28

this means that cherry st. is 28 yds faster

using the Pythagorean Theorum

4 0
3 years ago
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