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fomenos
3 years ago
7

Classify the real numbers as rational or irritational numbers

Mathematics
1 answer:
Andre45 [30]3 years ago
3 0

Answer:

god loves you <3 .

Step-by-step explanation:

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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
The angle of elevation from a soccer ball on the ground to the ground to the top of the goal 34 degrees. If the goal is 8 ft tal
GarryVolchara [31]
Check the picture below.

make sure your calculator is in Degree mode.

6 0
3 years ago
Read 2 more answers
Petra jogs 5 miles in 40 minutes at the rate how long would it take her to jog 11 miles
KatRina [158]
88 minutes (1 hour and 28 mins)

Since 5 miles takes 40 minutes, multiplying both numbers by 2 gets you to 10 miles in 80 minutes. To get the extra 1 more miles you have to find the unit rate

5 miles in 40 minutes : divided both numbers by 5 to get
1 mile in 8 minutes
add the one mile in 8 minutes to the 10 miles in 80 mins and you get 11 miles in 88 minutes
6 0
3 years ago
If the test is worth 50 and you score 84% how many questions did you get wrong? Write the proportion?
quester [9]
You got 8 questions wrong.

10% of 50 is 5.
 x8               x8
________________
80% of 50 is 40.
84% of 50 is 42.


50-42= 8 questions wrong.




8 0
3 years ago
Read 2 more answers
Olga runs a business out of her home making quilts. Each month she has fixed costs of $350. In addition, for each quilt she make
gulaghasi [49]
She only has made one full quilt and half of another. So 1.5
4 0
3 years ago
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