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Sedbober [7]
3 years ago
11

A scientist is studying certain germs. She places 3 germs in a special solution that will help the germs grow. The number of ger

ms doubles every hour. How many germs will there be after 8 hours?
Mathematics
1 answer:
vivado [14]3 years ago
7 0
3*2 is 6 6*2 is 12 12*2 is 24 24*2 is 48 48*2 is 96 96*2 is 192 and 192*2 is 384
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Quadrilateral ABCD is inscribed in a circle with angle measures m∠A = (11x − 8)°, m∠B = (3x2 + 1)°, m∠C = (15x + 32)°, and m∠D =
dimulka [17.4K]

Answer:

No for all of the 4 values

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is always 360°, so we have that:

m∠A + m∠B + m∠C + m∠D = 360

11x - 8 + 3x2 + 1 + 15x + 32 + 2x2 - 1 = 360

5x2 + 26x - 320 = 0

Solving the quadratic function using Bhaskara's formula, we have:

Delta = 26^2 + 4*5*320 = 7076

sqrt(Delta) = 84.12

x1 = (-26 + 84.12)/10 = 5.81

x2 = (-26 - 84.12)/10 = -11.01 (this value will generate negative angles, so it is not valid).

Now, finding the angles, we have:

m∠A = 11*5.81 - 8 = 55.91°

m∠B = 3*(5.81)^2 + 1 = 102.27­°

m∠C = 15*5.81 + 32 = 119.15°

m∠D = 2*(5.81)^2 - 1 = 66.51°

As all these values are different from the values shown, the answer is No for all of them.

8 0
3 years ago
The diagram represents a dilation with a center at P. If the scale factor of e dilation is K, which statement about the diagram
boyakko [2]

Answer:

C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.

Step-by-step explanation:

A. If > 1, then the image of could be .  

B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )

C. If > 1, then the image of could be .

D.If = 2, then the image of is itself.

A is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

B is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

C is correct.  If the scale factor is greater than 1, the image is an enlargement.

D is not correct.  If the scale factor is 1, the figure and the image are congruent.

8 0
2 years ago
find the length of the hypotenuse of a right triangle with legs measuring 6 cm and 9 cm. round your answer to the nearest tenth
Xelga [282]
I would say all you have to do is add those sides up then minus it with the total you’re trying to find
7 0
3 years ago
What is the equation of the Line Y=<br> X+
Korolek [52]

Answer:

uhm

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Distance between two points (−5,−5) and (-9, -2)
sergey [27]

Answer: 5

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5

8 0
2 years ago
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