Answer:
-1/3
Step-by-step explanation:
The product of 10 and a number is 3 less than the number.
Ok, lets call this number x.
10x = x-3 is how to algebraically write this out.
now, lets subtract x from both sides
9x = -3
Divide by 9
x = -1/3
First statement is correct. If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.
Given,
The rate of reading of a novel by Sasha = 0.8 pages per minute
The rate of reading of autobiography by Sasha = 0.5 pages per minute
The reading requirement of Sasha's English class = atleast 75 pages per week
The given equation: 0.8n + 0.5a ≥ 75
n is the number of minutes she reads the novel
a is the number of minutes she reads the autobiography
Now, let's check the statements:
Statement 1: If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.
That is,
0.8 × 94 + 0.5 × 0 ≥ 75
75.2 ≥ 75
This statement satisfies the equation.
Other 4 statement didn't satisfy the equation.
So, first statement is correct.
Learn more about rate of reading here:
brainly.com/question/4459849
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5 liter bucket with the 3 liter bucket twice, and then use the 3 liter bucket and the 4 liter bucket twice.
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
Answer:
B
Step-by-step explanation:
He also is a point guard and has shoe game.
