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Simora [160]
3 years ago
5

Move each number to the correct place on the number line. Then, move the correct symbol to the comparison.

Mathematics
2 answers:
Brut [27]3 years ago
8 0

Answer:

<

Step-by-step explanation:

anzhelika [568]3 years ago
4 0
-1/5 < -3/4


...............
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Add the two expressions 2x + 6 and 6x - 1 enter your answer in the Box. PLZ help
jolli1 [7]
Combine like terms.

2x + 6 + 6x - 1

8x + 5
5 0
3 years ago
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The day length in Manila, Philippines, varies over time in a periodic way that can be modeled by a trigonometric function.
iris [78.8K]

Answer:

  • L(t) = 727.775 -51.875cos(2π(t +11)/365)
  • 705.93 minutes

Step-by-step explanation:

a) The midline of the function is the average of the peak values:

  (675.85 +779.60)/2 = 727.725 . . . minutes

The amplitude of the function is half the difference of the peak values:

  (779.60 -675.85)/2 = 51.875 . . . minutes

Since the minimum of the function is closest to the origin, we choose to use the negative cosine function as the parent function.

Where t is the number of days from 1 January, we want to shift the graph 11 units to the left, so we will use (t+11) in our function definition.

Since the period is 365 days, we will use (2π/365) as the scale factor for the argument of the cosine function.

Our formula is ...

  L(t) = 727.775 -51.875cos(2π(t +11)/365)

__

b) L(55) ≈ 705.93 minutes

8 0
3 years ago
Zhao Xue wants to buy milk and yogurt. She wants to buy a total of at least 6.5 gallons of dairy products (condition A), and she
Marta_Voda [28]

Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt


Step-by-step explanation:  Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.

From the graph, we can write

Condition A :

M+Y\geq 6.5.

Condition B :

8M+5Y\leq40.

Now, if she buys 4 gallons of milk, the the conditions become

4+Y\geq 6.5~~\Rightarrow Y\geq 2.5,\\\\8\times 4+5Y\leq 40~~\Rightarrow Y\leq 1.6.

Here, there will be no solution to these constraints.

Therefore, she does not have enough money left to buy any yogurt.

Thus, the correct option is (D).

3 0
3 years ago
What is the length of the radius? startfraction 6 over 85 endfraction startfraction 85 over 12 endfraction startfraction 121 ove
melomori [17]

The length of the radius will be 22 units.

<h3>What is the radius?</h3>

The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.

Now from the question, we have an expression:

r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )

By solving the above equation we get

r=(\dfrac{18997}{864} )

r=22

Hence the length of the radius will be 22 units.

To know more about radius follow

brainly.com/question/24375372

6 0
2 years ago
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If x – 10 is a factor of x2 – 8x – 20, what is the other factor?
kkurt [141]

Answer:

Step-by-step explanation:

x²-8x-20

=x²-10x+2x-20

=x(x-10)+2(x-10)

=(x-10)(x+2)

second factor is x+2

5 0
3 years ago
Read 2 more answers
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