MATHEMATICS HIGH SCHOOL

Debra and Ian shared in $1,000,000 estate. If Ian received $125,000 and debra the rest, what fraction of the estate did Debra receive?

Answers

Answer 1
Answer:

Answer: Fraction of the estate Debra will received is (7)/(8)

Step-by-step explanation:

Since we have given that

Amount shared by Debra and Lan = $1000,000

Amount received by Lan = $125,000

According to question, Debra received the rest.

So, Amount received by Debra is given by

\$1000000-\$125000\n\n=\$875000

Fraction of the estate Debra will receive is given by

(875000)/(1000000)\n\n=(875)/(1000)\n\n=(35)/(40)\n\n=(7)/(8)

Hence, Fraction of the estate Debra will received is (7)/(8)
Answer 2
Answer: Debra received 7/8
if you divide 1,000,000 by 125,000 you get 8. which means Ian got 1/8 of the money. leaving 7/8 for Debra

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Can you help me, I don't understand it....

Which choice is the explicit formula for the following geometric sequence

Answers

Answer:

B: a_n= 0.2(-0.3)^(n-1)

Step-by-step explanation:

Geometric sequence

0.2, -0.06, 0.018,-0.0054,0.00162....

General explicit formula  is a_n= a_1(r)^(n-1)

Where r is the common ratio and a1 is the first term

a1 is 0.2 (first term)

we need to find out common ratio 'r'

To find 'r' divide second term by first term

(-0.06)/(0.2) =-0.3

Plug in the values in the general formula

a_n= a_1(r)^(n-1)

a_n= 0.2(-0.3)^(n-1)
Hello,

2/10,-6/100,18/1000,-54/10000,162/100000;...


a(n+1)/a(n)=-3/10
a(0)=2/10*1

a(n)=2/10* (-3/10)^(n-1)

Answer B

Based only on the given information, it is guaranteed that AB is perpendicular to CD. True or false

Answers

Answer:

true

Step-by-step explanation:

because CD divided AB into equal halves, so they are of course perpendicular.

Answer:

Step-by-step explanation:

This is definitely true. AC is congruent to BD, and by the Isosceles Triangle Theorem, if this congruency is true, then the angles across from these congruent sides are also congruent. This means that angle ACD is congruent to angle BCD. That makes CD a bisector of angle ACB; it also makes CD a bisector of side AB. The definition of a perpendicular bisector is that the segment splits its angle in half (and it does) and that it splits the side it goes through in half (which it does). This makes CD, in a nutshell, the perpendicular bisector of AB (which also means that CD is perpendicular to AB).

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Answers

Hello,

a(2)=-6
a(3)=-6*r
a(4)=-6*r²
a(5)=-6*r^3=162
a(5)/a(2)=r^3=162/(-6)=-27==>r=-3

a(1)=-6/(-3)=2
a(2)=2*(-3)
a(3)=2*(-3)²
a(4)=2*(-3)^3
a(5)=2*(-3)^4

a(n)=2*(-3)^(n-1)




Answer

Answer:

an = 2 • (-3)^n - 1

Step-by-step explanation:

I have taken the test and this is the correct option :)

Which of the following statement best describes the effect of replacing the graph of f(x) with the graph of f(x) - 3?A) the graph shifts 3 units up.
B) The graph shifts 3 units down. i think is correct?
C) the graph shifts 3 units left.
D)the graph shifts 3 units right.

Answers

The statement that best describes the effect of replacing the graph of f(x) with the graph of f(x) - 3 is; B) The graph shifts 3 units down.

what is graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it. If we know that the function crosses x axis at some, then for some polynomial functions, we have those as roots of the polynomial.

The parent function is function of x and we the translated function is in the form f(x)-3.

Transformation Rule state that if the parent function is f(x) and if we subtract some constant 'a' in f(x) then the function will move down by 'a' units.

Thus, from the transformation rule, we can conclude that f(x) graph will shift down by 3 units.

Therefore, the correct option is; B) The graph shifts 3 units down.

Learn more about finding the graphed function here:

brainly.com/question/27330212

#SPJ6
to move a graph up c units, add c to the whole function

so basicaly what you did is you subtraced 3 from the whole function

the whole graph shifts 3 units down

B is answer

(sin teta + sec teta)^ + (cos teta+ cosec teta )^ = (1 + sec x cosec)^

Answers

(sin\theta+sec\theta)^2+(cos\theta+cosec\theta)^2=(1+sec\theta\ cosec\theta)^2\n\nL=sin^2\theta+2sin\theta\cdot(1)/(cos\thewta)+(1)/(cos^2\theta)+cos^2\theta+2cos\theta\cdot(1)/(sin\theta)+(1)/(sin^2\theta)\n\n=(sin^2\theta+cos^2\theta)+(2sin\theta)/(cos\theta)+(2cos\theta)/(sin\theta)+(1)/(cos^2\theta)+(1)/(sin^2\theta)

=1+(2sin^2\theta+2cos^2\theta)/(sin\theta\ cos\theta)+(sin^2\theta+cos^2\theta)/(sin^2\theta\ cos^2\theta)\n\n=1+(2(sin^2\theta+cos^2\theta))/(sin\theta\ cos\theta)+(1)/(sin^2\theta\ cos^2\theta)\n\n=1+(2)/(sin\theta\ cos\theta)+(1)/(sin^2\theta\ cos^2\theta)\n\n=1^2+2sec\theta\ cosec\theta+sec^2\theta\ cosec^2\theta\n\n=(1+sec\theta\ cosec\theta)^2=R

Jonah sets the table for breakfast and dinner every Monday Tuesday Wednesday and Friday. how many times does he set the table in six weeks?Make a table

Answers

He set the table 24 times
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