Binary notation uses only zero & one, but place value determines their actual value. The first place has a value of one, the second place has a value of two, and each place after that is double the value of the previous place (1,2,4,8,16,32,64,etc.).
Thus, 1=1 & 10=2 (2+0).
a) 64 is the...
I suspect that by the word "elimination," we mean to eliminate one of the variables from this system of equations. By doing so, we can then solve the remaining variable by the usual procedure & check our work by inserting our solutions into the original
Substitution is a tactic...
This really a question of the difference between your desired monthly bill & the required access fee:
28.72 + 0.31x < 40.00
0.31x < 40.00 - 28.72
x < 11.28/0.31
X < 36.387 minutes
Not a very good cell phone plan!
Steve & Jim are correct, but perhaps this can help you think about the relationship between the pumps & water:
If the first pump takes 12 minutes alone, and both pumps together do it in 3 minutes, then we know that the first pump empties 1/4 of the pool in the time it takes the second...
Looks correct to me. Your steps are correct & zero cannot equal -3!
In all the sciences, it is necessary to gather & compare data, isolate & control variables, interpret results, and prove or disprove hypotheses. In the case of sociology & psychology - as Courtney mentioned - one will often show correlation between test
variables. Statistics is the study of mathematical...
Keep in mind the triangle rule: the sum of the measures of the 3 angles of any triangle will equal 180 degrees. Three sides of any length can make a triangle, as long as the triangle is not restricted by an angle of a certain measure.
A. Yes, the sum of the 3 angles is 180 degrees;
To factor 26x^2 + 34x^4, our basic strategy is to decide what belongs inside & outside a pair of parentheses.
1. Factor the integers:
= 2(13x^2 + 17x^4)
2. Factor the variables:
= 2x^2(13 + 17x^2)
I hope that helps!
I know this looks a bit complicated at first glance, and there are two ways to interpret the problem, but let's choose the most likely interpretation and sort through some of the numbers. I'm assuming that this problem is NOT implying that one-third of
the poetry students are men. It does say,...
The strategy for a problem like this is to compute each category separately, then add the results from all categories.
Under the given commission structure, an employee with $151,000 in sales, earns the following commissions:
2.0% X $80,000
3.5% X $20,000 (i.e. $100,000-$80,000)
Yes, IQ is measured on an interval scale, but some tests also break specific skills into categories that are then measured using interval data. IQ is numeric data expressed in intervals using a fixed measurement scale. If IQ were ordinal, their designations
could not be precise enough to be meaningful...
One way to think of this is that 161 is 40% more than the number of days of precipitation in Calgary - or two-fifths (2/5). Therefore, Winnipeg's days of precipitation is 7 fifths of Calgary's. So, Winnipeg had 115 days of precipitation:
161 * 5/7 = X
161/7 * 5 = X
On the normal curve, about 68% (+/-1 Standard Deviation) of these cars will have fuel efficiency from 28.8 to 31.2. The definition of "normal distribution" tells us that 34% of random selections are within -1 Standard Deviation from the mean, while another
34% of random selections are within...
This one is more difficult & I'm perhaps less confident, but here goes:
Remember that negative exponents simply mean that the number & exponent become the denominator, with a one as the numerator. Thus (xy)^-3 is the same as 1/(xy)^3. Next, (x^-5 y)^3 should be multiplied out. Remember that...
I believe this looks like 2 equations: 1) y+5y=5; and 2) 6x-5y=2; and they are intended to parts of a system. First we solve for y: y+5y is simply 6y, therefore 6y=5. Thus y=5/6.
Next substitute 5/6 for y in the other equation: 6x-5(5/6)=2. Thus 6x-25/6=2. Add 25/6 to each side & you have 6x=2+25/6,...
As compared to Trinitarians, who believed in a triune God – a single God in three persons (i.e. Father, Son, Holy Spirit) or trinity – the key Unitarian belief was in the oneness - or unity - of God. To Unitarians, the life and teachings of Jesus Christ
constituted the exemplar model for living...
In my work as a teacher, I cannot help but notice that many of the reading selections written for our students include words that are beyond our students' experience. Students simply do not have & could not usually acquire the background knowledge necessary
for understanding some words they encounter in subject-specific reading selections, such as social studies & science. Reading instruction...
When addressing general learning - especially in K-6 - we must keep in mind that subjects cannot be separated from one another. An obvious example is science, which requires mathematics, writing, and usually reading. Mathematics word problems, of course,
require skill in reading and logic. If we consider social studies, we quickly realize that reading, writing, science, and math concepts are...