Long before the Supreme Court decision legalizing marriage between people of the same sex, a substantial percentage of Americans were in favor of laws prohibiting interracial marriage. Since 1972, the General Social Survey has asked Do you think that there should be laws against marriages between negroes/blacks/African Americans and whites? In 1972, 39.3% of the adult U.S. population was in favor of such laws. The bar graph shows the percentage of Americans in favor of legislation prohibiting interracial marriage for five selected years from 1993 through 2002, the last year the data were collected. Source: Ben Schott, Schott’s Almanac 2007, Donnelley and Sons The formula p = − 2.5 t + 17 models the percentage of Americans, p, in favor of laws prohibiting interracial marriage t years after 1993. If trends indicated by this model continue, in what year did the percentage favoring such legislation decrease to 7%.
Long before the Supreme Court decision legalizing marriage between people of the same sex, a substantial percentage of Americans were in favor of laws prohibiting interracial marriage. Since 1972, the General Social Survey has asked Do you think that there should be laws against marriages between negroes/blacks/African Americans and whites? In 1972, 39.3% of the adult U.S. population was in favor of such laws. The bar graph shows the percentage of Americans in favor of legislation prohibiting interracial marriage for five selected years from 1993 through 2002, the last year the data were collected. Source: Ben Schott, Schott’s Almanac 2007, Donnelley and Sons The formula p = − 2.5 t + 17 models the percentage of Americans, p, in favor of laws prohibiting interracial marriage t years after 1993. If trends indicated by this model continue, in what year did the percentage favoring such legislation decrease to 7%.
Solution Summary: The author calculates the year in which the percentage of people in favor of the law decreased to 7%.
Long before the Supreme Court decision legalizing marriage between people of the same sex, a substantial percentage of Americans were in favor of laws prohibiting interracial marriage. Since 1972, the General Social Survey has asked
Do you think that there should be laws against marriages between negroes/blacks/African Americans and whites?
In 1972, 39.3% of the adult U.S. population was in favor of such laws. The bar graph shows the percentage of Americans in favor of legislation prohibiting interracial marriage for five selected years from 1993 through 2002, the last year the data were collected.
Source: Ben Schott, Schott’s Almanac 2007, Donnelley and Sons
The formula
p
=
−
2.5
t
+
17
models the percentage of Americans, p, in favor of laws prohibiting interracial marriage t years after 1993. If trends indicated by this model continue, in what year did the percentage favoring such legislation decrease to 7%.
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Q.1) Classify the following statements as a true or false statements:
a. If M is a module, then every proper submodule of M is contained in a maximal
submodule of M.
b. The sum of a finite family of small submodules of a module M is small in M.
c. Zz is directly indecomposable.
d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M.
e. The Z-module has two composition series.
Z
6Z
f. Zz does not have a composition series.
g. Any finitely generated module is a free module.
h. If O→A MW→ 0 is short exact sequence then f is epimorphism.
i. If f is a homomorphism then f-1 is also a homomorphism.
Maximal C≤A if and only if is simple.
Sup
Q.4) Give an example and explain your claim in each case:
Monomorphism not split.
b) A finite free module.
c) Semisimple module.
d) A small submodule A of a module N and a homomorphism op: MN, but
(A) is not small in M.
I need diagram with solutions
T. Determine the least common
denominator and the domain for the
2x-3
10
problem:
+
x²+6x+8
x²+x-12
3
2x
2. Add:
+
Simplify and
5x+10 x²-2x-8
state the domain.
7
3. Add/Subtract:
x+2 1
+
x+6
2x+2 4
Simplify and state the domain.
x+1
4
4. Subtract:
-
Simplify
3x-3
x²-3x+2
and state the domain.
1
15
3x-5
5. Add/Subtract:
+
2
2x-14
x²-7x
Simplify and state the domain.
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