Step 1: Cross-multiply.
(x+3)^1/2=(3x+7)^1/4
Step 2: Subtract 6x from both sides.
4x+12−6x=6x+14−6x
−2x+12=14
Step 3: Subtract 12 from both sides.
−2x+12−12=14−12
−2x=2
Step 4: Divide both sides by -2.
−2x/−2=2/−2
Answer:
x=−1
Answer:
The answer to No. 4 is x = 12.
The answer to No. 5 is 160.
Step-by-step explanation:
(No. 4) The mean (average) is calculated by adding up all the numbers and then dividing by how many numbers there are.
In the first exercise, there are 6 number with a mean of 8.5. Since the mean is calculated by dividing the sum of the numbers by how many numbers there are, we know that the sum of the numbers have to be 8.5 × 6 = 51.
Subtracting all the known numbers from 51 leaves you with the only possible solution for x: 51 - 11 - 8 - 8 - 7 - 5 = 12.
(No. 5) Start by calculating the total mass of all the spiders. (16 × 175) + (24 × 150) = 6,400. Once again, to calculate the mean, divide the total sum of the numbers by how many numbers there are, in this case you divide the total mass of the spiders by how many spiders there are, leaving you with the average of 6,400 ÷ 40 = 160.
Answer:
B
Step-by-step explanation:
The range is all numbers that Y can range from, so looking at the chart we can see that the highest value on the top of the curve that Y reaches is 4. Looking at the very start of the line and the very end of the line, you can see that -inf is definitely in the range of the y values. So, we can write it like this:
-inf<y<=4
which happens to be B
Answer:
B
Step-by-step explanation:
Tanx=sinx/cosx
Cotx=cosx/sinx
Answer:
The population of 75 hours from now would be 40,000.
Step-by-step explanation:
The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.