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Karo-lina-s [1.5K]
2 years ago
6

Javier used the expression below to represent his score in a game of mini-golf.

Mathematics
2 answers:
mojhsa [17]2 years ago
8 0

Answer:

3, 5

I'm not 100% sure about this answer, but I hope it helps

shtirl [24]2 years ago
4 0

Answer:  The correct options are

(2) The coefficient is 2.

(3) The constant is 5.

(6) There are two terms.

Step-by-step explanation:  Given that Javier used the expression below to represent his score in a game of mini-golf :

E=3x+x+5-2x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to select the correct statements about the parts of the simplified expression if Javier simplifies the expression.

The simplification of expression (i) is as follows :

E\\\\=3x+x+5-2x\\\\=(3+1-2)x+5\\\\=2x+5.

Therefore, we get

the constant term is 5,

the coefficient of x is 2

and

There are two terms.

Thus, options (2), (3) and (6) are correct.

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Which of the following statements must be true about this diagram? Check all that apply.
pishuonlain [190]

Answer:

Options (D), (E) and (F) are the correct options.

Step-by-step explanation:

From the figure attached,

1). Angle 4 is the exterior angle of the given triangle having interior angles 1, 2 and 3.

Therefore, by the property of exterior angle,

∠4 = ∠1 + ∠2

2). Since ∠4 = ∠1 + ∠2,

Therefore, ∠4 will be greater than ∠1

 Similarly, ∠4 will be greater than ∠2

Therefore, Options (D), (E) and (F) are the correct options.

8 0
2 years ago
The segments shown below could form a triangle.
olga2289 [7]

By the Triangle Inequality Theorem, the sum of two sides should be greater than the length of the third side, while the difference of these two sides should be less than the length of this third side. Normally you would take the absolute value of the difference of these two side as you wouldn't know which is greater than the other!

The simplest way to prove whether these line segments can form a triangle, is by going against this theory. Let us prove that the line segment don't form a triangle. As you can see, adding 7 and 1 is greater than 1, respectively 7 and 7 is greater than 1. Thus -

<u><em>Solution = A. True</em></u>

3 0
1 year ago
the loudness in decibels of sound is defined as 10 log I/I0, where I is the intensity of the sound in watts per square meter (W/
Oxana [17]
As the problem states, to solve this, we are going to use the equation L= log \frac{I}{I_{0} }
where 
L is the loudness in dB
I is the intensity of a sound 
I_{0}  <span>is the minimum intensity detectable by the human ear
</span>
We know for our problem that I=1.65*10^{-2}; we also now that the minimum intensity detectable by the human ear is 10^{-12)W/m^{2}, so I_{0}=10^{-12}. Lets replace those values in our equation to find L:
L=log \frac{1.65*10^{-2} }{10^{-12}}
L=10.22dB

Qe can conclude that since the explosion is under 100dB, it does not violates the regulation of the town. We used tow physical values to calculate the answer: the intensity of the sound of the explosion, I=1.65*10^{-2}W/m^2, and the minimum intensity detectable by the human ear I_{0}=10^{-12}W/m^{2}.
3 0
2 years ago
What is the first step to solve for n <br><br> in the following equation?<br> 3n - 7 = 30
sergejj [24]

Answer:

Simplifying

3n + 7 = 30

Reorder the terms:

7 + 3n = 30

Solving

7 + 3n = 30

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3n = 30 + -7

Combine like terms: 7 + -7 = 0

0 + 3n = 30 + -7

3n = 30 + -7

Combine like terms: 30 + -7 = 23

3n = 23

Divide each side by '3'.

n = 7.666666667

Simplifying

n = 7.666666667

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If a random variable X is exponentially distributed with parameter λ=2, then P(X≥1) is equal to
Rasek [7]

Answer:

D. 0.1353

B. 0.0473

Step-by-step explanation:

For an exponentially distributed random variable, the cumulative distribution function is:

P(x\leq a) = 1 - e^{-\lambda a}\\P(x\geq a) = e^{-\lambda a}

with parameter λ=2, then P(X≥1) is equal to:

P(x\geq 1) = e^{-2*1}=0.1353

D. 0.1353

with parameter λ=1.5, then P(2≤X≤4) is equal to

P(2\leq x \leq 4) = P(x \leq 4) - P(x\leq 2)\\P(2\leq x \leq 4) =1 - (e^{-1.5*4}) - (1-(e^{-1.5*2}))\\P(2\leq x \leq 4) = 0.0473

B. 0.0473

7 0
2 years ago
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