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gogolik [260]
2 years ago
11

Given the formula, E = mgh + 1/2mv

absmiddle" class="latex-formula">, find h when E = 96, m =2, g= 10 and v=6
Mathematics
1 answer:
vlabodo [156]2 years ago
7 0
Answer:
4.5
Explanation:
I’ve attached my work below
Hope it helps, Let me know if you have any questions !

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Heather is saving for retirement and has been doing a lot of research on how much she should put aside each month. The newest ar
tino4ka555 [31]
If Heather puts in 1.36% of her salary into a retirement account and she makes $63,000 in a year, this can be solved by 1.36% x 63000. First convert 1.36% into a decimal. To do this, divide by 100.

1.36/100=0.0136

1.36% x 63000
=0.0136 x 63000
=856.8
Heather would put $856.8 in for the whole year. To find how much per month, divide by 12.

856.8/12=71.<span>4
</span>Rounded to the nearest dollar is $71.

Heather would put $71 into a retirement account each month.
<em>
</em><em>Note: This was solved by multiply the percent and then dividing by 12 months. You could also do this by dividing by 12 months first and then multiplying the percent.</em>


6 0
4 years ago
At Clement's Jr. High School, a student needs an 86 average to earn a B. Sue's average on
andriy [413]

Answer:

Sue must score 94 on the final test to earn a B.

Step-by-step explanation:

There are five tests in total.

Sue's average on the first four tests is 84.

If after the final test, she scores X, she will have a B on average of five tests.

We have the following equation:

86 = (4 × 84 + X)/5

<=> X = 5 × 86 - 4 × 84

=> X =  94

5 0
4 years ago
Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)
alex41 [277]

Answer:

\large \boxed{y =  -  \frac{1}{9} x -  \frac{5}{9} }

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

\large{m =  \frac{1 - ( - 2)}{ -14 - 13} } \\  \large{m =  \frac{1 + 2}{ - 27} } \\  \large{m =  \frac{3}{ - 27}  =  -  \frac{1}{9} }

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

\large \boxed{y = mx + b}

We already know m-value as we substitute it.

\large{y =  -  \frac{1}{9} x  + b}

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

\large{y = -  \frac{1}{9} x + b} \\  \large{ - 2 =  -  \frac{1}{9} (13) + b} \\  \large{ - 2 =  -  \frac{13}{9}  + b} \\  \large{ - 2 +  \frac{13}{9}  = b} \\  \large{ -  \frac{5}{9}  = b}

Finally, we know b-value. Then we substitute it in our equation.

\large{y =  -  \frac{1}{9} x + b} \\  \large{y =  -  \frac{1}{9} x -  \frac{5}{9} }

4 0
3 years ago
What is a balanced diet I m bored​
Kaylis [27]

Answer:

A healthy diet is a diet that helps maintain or improve overall health. A healthy diet provides the body with essential nutrition: fluid, macronutrients, micronutrients, and adequate food energy

5 0
3 years ago
HELP IM FAILING MATH I NEED HELP :(
CaHeK987 [17]

Answer:idk

Step-by-step explanation:

idk

7 0
3 years ago
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