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ella [17]
3 years ago
5

(URGENT!!!! WILL MAKE BRAINLIEST) Write a quadratic equation with -4 and 3/2 as its roots. Write the equation in the form ax² +

bx + c = 0, where a, b, and c are integers. SHOW YOUR WORK!
Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

Answer:

2X^2+5/2X-3/2=0

Step-by-step explanation:

To identify the equation use the following method

(X-a)(X-b)=0

Put values

a=-4

b=3/2

(X+4)(X-3/2)=0

X^2+4X-3/2X-3/2=0

X^2+(8X-3X)/2-3/2=0

X^2+5/2X-3/2=0

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How do I write 55555 in expanded form
marta [7]

Answer:

FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

3 0
3 years ago
The weekly earnings of students in one age group are normally distributed with a standard deviation of 47 dollars. A researcher
ELEN [110]

Answer:

Option D) 340

Step-by-step explanation:

We are given the following in the question:

Alpha, α = 0.05

Population standard deviation, σ = $47

Margin of error = 5

95% Confidence Interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340

Thus, the correct answer is

Option D) 340

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3 years ago
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