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aev [14]
3 years ago
9

What is X in this equation?

Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

B) 44

Step-by-step explanation:

x + 54 + 82 = 180

x + 136 = 180

x = 180 - 136

x = 44

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a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an inital speed of 120 feet per second
balu736 [363]
Check the picture below.

\bf ~~~~~~\textit{initial velocity}\\\\
\begin{array}{llll}
~~~~~~\textit{in feet}\\\\
h(t) = -16t^2+v_ot+h_o \\\\
\end{array} 
\quad 
\begin{cases}
v_o=\stackrel{\textit{initial velocity of the object}}{120}\\\\
h_o=\stackrel{\textit{initial height of the object}}{2}\\\\
h=\stackrel{}{\textit{height of the object at "t" seconds}}
\end{cases}
\\\\\\
h(t)=-16t^2+120t+2

 \bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{llll}
h(t)= &{{ -16}}t^2&{{ +120}}t&{{ +2}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left(-\cfrac{120}{2(-16)}~~,~~2-\cfrac{120^2}{4(-16)}  \right)\implies \left( \cfrac{15}{4}~~,~~2+\cfrac{14400}{32} \right)

\bf \left( \cfrac{15}{4}~~,~~2+450 \right)\implies \left( \stackrel{seconds}{3\frac{3}{4}}~~,~~\stackrel{feet}{452} \right)

7 0
3 years ago
Please help me! I dont understandd
Xelga [282]

Answer:

24.-2

25.15

26.42

27.9

28.0

29.-8

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
For<br> x &lt; -2<br> f(x) =<br> -3x - 3<br> 6x – 28<br> for<br> Find f(5)
Lemur [1.5K]

Answer:

f(5) = 2

Step-by-step explanation:

To evaluate f(5), that is when x = 5 in the interval x ≥ 5

then

f(5) = 6x - 28 = 6(5) - 28 = 30 - 28 = 2, so

f(5) = 2

4 0
3 years ago
In a sample of n = 6 scores, 5 of the scores are each above the mean by one point. Where is the 6th score located relative to th
den301095 [7]

The mean of a dataset is the sum of all data elements divided by the count of the elements.

The location of the 6th score relative to the mean is 5 points below the mean

Let:

\bar x \to<em> Mean</em>

a \to<em> 5 scores</em>

b \to<em> 6th scores</em>

Given that:

n = 6

The 5 scores that are 1 above the mean implies that:

a = \bar x + 1

The mean of a dataset is calculated using:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x =\frac{5a + b}{6}

\bar x =\frac{5(\bar x + 1) + b}{6}

Open brackets

\bar x =\frac{5\bar x + 5 + b}{6}

Multiply both sides by 6

6\bar x =5\bar x + 5 + b

Make b the subject

b = 6\bar x -5\bar x - 5

b = \bar x - 5

This means that the 6th score is 5 points below the mean

Read more about mean at:

brainly.com/question/17060266

3 0
3 years ago
You are an hourly-paid employee who is paid on a weekly basis. You are making $23.13 per hour and work 40 hours per week. Taxes
Contact [7]

Answer:

578.13


Step-by-step explanation:

40hrs at 23.13 is 925.20

Federal 22% =  203.54

FICA 7.65% = 70.77

Sate 3% = 27.76

Subtract those taxes from the <u>925.20</u> and round the penny fractions up<em> (.235 = .24)</em> and you get <u>623.13</u> but then don't forget about your 401k retirement plan, <u>45$</u> every week, so subtract that and then you're 1k a week paycheck, which is really nice btw, is down to................ <u>578.13</u>!!!!!!    

7 0
3 years ago
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