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WARRIOR [948]
3 years ago
6

Mr.Manciel is planning an event at a local hotel. The hotel owner told him that the dance floor in the ballroom is about 1,500 s

quare feet. When Mr. Manciel measured, he found that the dimensions of the dance floor are 25 feet by 44 feet. Was the hotel owner ‘s estimate reasonable? Why or why not?
Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0
Yes it was reasonable. I say it is resonable because if you multiply 44 times 25 it is 1,100 so the estimate was close enough
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Explain how to solve 5^(x − 2) = 8 using the change of base formula log base b of y equals log y over log b.
Ray Of Light [21]

Answer:

x = 3.3

Step-by-step explanation:

A equation is given to us and we need to solve out for x. The given equation is ,

Take log on both sides with base as " 10" . We have ,

Simplify using the property of log ,  , we have ,

Simplify ,

Again simplify using the property of log ,

We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,

Simplify the RHS ,

Add 2 both sides ,

Hence the Value of x is 3.30 .

3 0
2 years ago
Write an equation for the line parallel to y= -2x+1 that contains (-2,5)
grin007 [14]

Answer:

y = - 2x + 1

Step-by-step explanation:

Parallels line have the same slope, when an equation is in the form y= mx + b, m is the slope. In this problem slope = - 2

Now with the slope what is missing is the y-intercept, the problem says that the line contains the point (-2, 5), replacing that point in the equation you can solve it to find the y-intercept

y = mx + b

5 = (-2)(-2) + b

5 = 4 + b

1 + b

y = - 2x +1

5 0
3 years ago
Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

x^3+0x^2-21x+20=0

Splitting the middle terms, we get

x^3-x^2+x^2-x-20x+20=0

x^2(x-1)+x(x-1)-20(x-1)=0

(x-1)(x^2+x-20)=0

Splitting the middle terms, we get

(x-1)(x^2+5x-4x-20)=0

(x-1)(x(x+5)-4(x+5))=0

(x-1)(x+5)(x-4)=0

Using zero product property, we get

x-1=0\Rightarrow x=1

x-4=0\Rightarrow x=4

x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

3 0
4 years ago
Determine the intercepts of the line.
Strike441 [17]

Answer:

Step-by-step explanation:

An intercept is where the line hits the axis.

Lets start with x. The x intercept is always going to be what x equals when y = 0. So we know the second value of the x intercept is going to be 0, because the second value is y. The line hits the x axis at -1.2, so the x intercept is -1.2, 0

The y intercept it what y equals when x equals 0. So the first value is going to be 0, to represent x. The line hits the y intercept at the point 0, -0.7.

3 0
3 years ago
Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the oppor
harkovskaia [24]

Answer:

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest is $ 1742.4

Step-by-step explanation:

The Principal deposited at the end of each year = $ 4000

The rate of interest = 7.5 % compounded annually

The time period = 5 years

From compounded method :

Amount = principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

or, Amount = $ 4000 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 5}

Or, Amount = $ 4000 × (1.0075)^{5}

or, Amount = $ 4000 × 1.4356

∴ Amount = $ 5742.4

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest = Amount - principal

   Or, C I = $ 5742.4 - $ 4000 is $ 1742.4    Answer

8 0
3 years ago
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