Answer:
0.24 kg
Step-by-step explanation:
Remember that
To find out how much extra soap powder will be given away with the package, multiply the original weight by the percentage in decimal form.
so
1 cg = 10^-5 kg
8.25 * 10^2 cg = 8.25 * 10^-3 kg
10^-12 kg = 1 nanogram
8.25 * 10^-3 kg = 8.25 * 10^9 nanograms
Therefore, 8.25 * 10^2 cg = 8.25 * 10^9 nanograms.
Answer: A) 7 real zeros and 6 turning points at 0, 2, 4
<u>Step-by-step explanation:</u>
x⁷ - 6x⁶ + 8x⁵
The degree (largest exponent) is 7 so the maximum number of real zeros is 7.
<u>Factor out x⁵</u>
x⁵(x² - 6x + 8)
<u>Factor the quadratic</u>
x⁵(x - 2)(x - 4)
<u>Set each factor equal to 0 and solve for x</u>
x⁵ = 0 --> x = 0 (multiplicity of 5)
x - 2 = 0 --> x = 2
x - 4 = 0 --> x = 4
<span>The answer would be: C. ∠DFE is congruent to ∠GFH.
From the question, it is stated that the ratio of DF/GF and EF/HF would be 1:3. The ratio of two sides is already same so you can fulfil the two side criteria from SAS. The remaining is only the angle that should be between those two sides. The angle of DFE should be same with </span><span>GFH</span>
Answer:
The answer for this problem is 14.825
Step-by-step explanation:
There are about three steps for this problem
The first is finding out what is 45% of 3.5 yds. You do this by multiplying 3.5 and .45 and you get 1.575
The second step is finding the second carpets length. All you have to do is add the number we got from multiplication which is 1.575 to 3.5 and you get 5.075. The reason we added those numbers is because the problem says the second carpet is 45% "longer" than the first carpet.
The third and final step is to add up all three values and you get 14.825!
