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Julli [10]
3 years ago
5

VX

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
6 0

Answer:

44.7

Step-by-step explanation:

Find the mean of the data set shown below. Round to the nearest tenth, if necessary.

This Week's High Temperatures (°F)

29, 38, 45, 31, 50, 58, 62

The formula for the Mean of a given set of data is

= Sum of terms/ Number of terms

Number of terms = 7

Hence,

Mean = 29+ 38+ 45+ 31+ 50+ 58+ 62/7

Mean = 44.714285714286

Approximately to the nearest tenth= 44.7

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A baseball player hits a ball at an angle of 52 degrees and at a height of 4.5 ft. if the ball's initial velocity after being hi
Dafna1 [17]

Answer:

t\approx 5.865\,s

Step-by-step explanation:

The motion equations that describe the ball are, respectively:

x = \left[\left(152\,\frac{ft}{s} \right)\cdot \cos 52^{\circ} \right] \cdot t

y = 4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}

The time required for the ball to hit the ground is computed from the second equation. That is to say:

4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{m}{s^{2}} \right) \cdot t^{2} = 0

Given that formula is a second-order polynomial, the roots of the equation are described below:

t_{1}\approx 5.865\,s and t_{2} \approx -0.048\,s

Just the first root offers a realistic solution. Then, t\approx 5.865\,s.

5 0
3 years ago
1. 5 less than one fourth of x is y.
horsena [70]

Answer

y = (1/4)x - 5                 or     4y - x + 20 = 0

Explanation

To get the rule required, we interpret the sentence and write it in a mathematical form.

5 less than one fourth of x is y  

one fourth of x ⇒ (1/4)x

5 less than one fourth of x is y  ⇒  (1/4)x - 5 = y

y = (1/4)x - 5

4y = x - 20

4y - x + 20 = 0

6 0
3 years ago
NEED HELP ASAPPPPP !!!
KonstantinChe [14]

Answer:

2160

Step-by-step explanation:

because c is 15 and d is 12 therefore d² is 144 and 144x15 is 2160

7 0
3 years ago
Read 2 more answers
Write an equation in slope intercept form of the line with a slope of -3/4 and y intercept of -5
raketka [301]
Given,
slope(m)=-3/4
y intercept (c)=-5
Then,
equation in slope intercept form is
y=mx+c
or, y=(-3/4)×x+(-5)
or, y=-3/4×x-5

5 0
3 years ago
Graphing linear equations
ella [17]

Answer:

To ensure uniformity on an exam

Or

To test whether you can distinguish between the two formats

Step-by-step explanation:

Standard form is when a straight line equation is rearranged in the form:

ax + by = c

Therefore y=2x+4 in standard form is

2x - y =  - 4

The slope-intercept form is when a a straight line equation is written in the form:

y =  mx + c

where m is the slope and c is the y-intercept.

The given equation is

y =  -  \frac{1}{2} x  - 5

This is already in slope-intercept form:

The standard form and slope-intercept forms are just formats.

Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.

You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.

6 0
3 years ago
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