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stepan [7]
4 years ago
15

I need help asap please​

Mathematics
1 answer:
Nat2105 [25]4 years ago
8 0

Answer: The answer is 0.00065

Step-by-step explanation: Cuz I am good at math.

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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.
DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

5_b \cdot 23_b = 151_b

The easiest way to approach this is to convert all the numbers to base 10.

5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0

b^2-5b-14=0

Next, we factorize the resulting expression.

b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2

The positive value of b for which the equality hold is 7.

3 0
3 years ago
A right rectangular prism is filled to capacity with 152 cubes, each with 12 -inch long edges. What is the volume of the prism?
telo118 [61]
The is Answer 204 inches
8 0
3 years ago
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What is the area of the following parallelogram in square centimeters?
Scrat [10]

Answer:

3.6 cm²

Step-by-step explanation:

18 mm = 1.8 cm

A = 2cm×1.8cm = 3.6 cm²

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!!!!
gavmur [86]

Answer:

15

Step-by-step explanation:

because it the 0 that need to subtract

7 0
3 years ago
Write algebraically:seven times the sum of a number and three is at most 23??<br>​
Lena [83]

Answer:

7 * x + 3 < 23

Step-by-step explanation:

blah blah blah blah blah

5 0
3 years ago
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