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Viefleur [7K]
2 years ago
5

What does X and Y equal?

Mathematics
1 answer:
Travka [436]2 years ago
4 0

Answer:

X= 67

Y= 6

Step-by-step explanation:

Triangle TRU is an equilateral triangle which means all sides are equal.

Triangles sum up to 180°.

180/3= 60

60+7= 67

x=67

Triangle TRS is an isosceles triangle which means it has two equal sides.

Triangles sum up to 180°.

180-60= 120

TRS= 120°

60/2= 30°

RTS=  30°

RST=  30°

30/5= 6

y= 6

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A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6
Leto [7]
<h2>Number of bacteria after 6 days is 2313</h2>

Step-by-step explanation:

Population after n days is given by

              P_n=P_0(1+r)^n

Initial population, P₀ = 1000

Increase rate, r = 15 % = 0.15

Number of days, n = 6

Substituting

             P_n=P_0(1+r)^n\\\\P_6=1000(1+0.15)^6\\\\P_6=1000(1.15)^6\\\\P_6=1000\times 2.313\\\\P_6=2313

Number of bacteria after 6 days = 2313

7 0
3 years ago
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1. y = x2 + 2x – 8<br><br> Axis of Symmetry:<br><br> Vertex:<br><br> Domain:<br><br> Range:
valentinak56 [21]

Answer:

Axis of Symmetry: x=-1

Vertex: (-1,-9)

Domain:   (- ∞ ,∞ )

Range: (-9,∞ )

Step-by-step explanation:

6 0
3 years ago
The angle between the generator and the central axis of a double-napped cone is 40°. A plane intersects the central axis at an a
My name is Ann [436]

Answer:

Parabola (D)

Step-by-step explanation:

4 0
3 years ago
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Let E be the event where the sum of two rolled dice is even. List the outcomes in Ec (complement of E)
d1i1m1o1n [39]

We have an event E that represent the outcomes where the sum of the two rolled dice is even.

This includes all the combinations when both dices are even or both dices are odd.

We have to list the outcomes for Ec, the complement of E. This event Ec will represent all the outcomes where the sum of the two dices is odd.

All outcomes where one dice is even and the other is odd are part of Ec.

Then, we can list them as:

(1,2), (1,4), (1,6)

(2,1), (2,3), (2,5)

(3,2), (3,4), (3,6)

(4,1), (4,3), (4,5)

(5,2), (5,4), (5,6)

(6,1), (6,3), (6,5)

This represents half of the sample space. The other half corresponds to outcomes that are part of event E.

Answer: all the outcomes that correspond to Ec are (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (3,6), (4,1), (4,3), (4,5), (5,2), (5,4), (5,6), (6,1), (6,3) and (6,5).

5 0
1 year ago
Harry has five a1 bills, three $ 10 bills, and
Flura [38]

Answer:

\frac{1}{45} chance to grab both $20 bills

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There are ten bills in total.

The probability that the first dollar she picks is a twenty-dollar bill is 2/10 because she can pick either of the two twenty-dollar bills out of the ten in her wallet. Next, we need to pick the second bill. There are nine bills left, and only one is a twenty-dollar bill. The probability of choosing a second dollar bill is 1/9.

(2/10)*(1/9)=2/90=1/45

4 0
2 years ago
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