MATHEMATICS HIGH SCHOOL

Which geometric series represents 0.4444... as a fraction?

Answers

Answer 1

Answer:

Answer: It can be expressed as

$(4)/(10)+(4)/(100)+(4)/(1000)+........$

Step-by-step explanation:

Since we have given that 0.44444.......

We need geometric series that represents as a fraction.

so, it can be written as

0.4+0.04+0.004+0.0004...............

But as we are required to write it as a fraction , So, it becomes,

$(4)/(10)+(4)/(100)+(4)/(1000)+(4)/(10000)............$

and it is a geometric series.

Because it has first term = a = $(4)/(10)$

and common ratio = r = $(a_2)/(a_1)=((4)/(100))/((4)/(10))=(1)/(10)$

Hence, it can be expressed as

$(4)/(10)+(4)/(100)+(4)/(1000)+........$

Answer 2

Answer: The geometric series that represents 0.4444... as a fraction is: 4/6 * [k=0, ∞]∑1/6^k

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F(x) = ²log(3x +2)
F'(x) = ....?

Answers

I hope this help u with this problem and everything goes good for u

Determine if the conditional statement is true or false given the following:p is false.
q is true
Is q p true or false?

Answers

The q p will be false if p is false and q is true after applying the conditional statement operation.

What is the converse of a statement?

A conditional statement with the antecedent and effect reversed is known as a converse statement.

It is given that:

The two conditional statements are p and q:

p is false

q is true

"p q" represents symbolically "If p then q," where p stands for the hypothesis and q for the conclusion.

If p is false and q is true then q p will be false.

Thus, the q p will be false if p is false and q is true after applying the conditional statement operation.

Learn more about the converse of a statement here:

brainly.com/question/18152035

#SPJ2

$If\ p\ is\ false\ and\ q\ is\ true\ then\ q*p\ must\ be\ false.$

Select all of the answers that apply.Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?

-15m = -4m
-7m - 8 = m - 4
-3m - 8 = 4 - m
m - 4 = -7m - 8
-8 - 7m = -4 + m
-8 - 3m = 4 - m

Answers

first you need to solve the equation
-2m-5m-8=3+(-7)+m
-7m-8=-4+m or -7m-8=m-4
the second choice

also this choice
8 - 7m = -4 + m the fifth one

To solve this problem, we must simplify the the equation:

Here is the base equation -2m - 5m - 8 = 3 + (-7) + m (Add all like terms):

#1 -2m - 5m - 8 = 3 + (-7) + m (Property of Addition)

#2 -7m - 8 = -4 + m (Most Simplified Equation)

The answer your would be the 2nd one. -7m - 8 = m - 4

What is the area of the figure?40 ft2
84 ft2
96 ft2
can't be determined

Answers

Answer:

$A=80\ ft^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle

step 1

Find the area of the triangle

The area of the triangle is equal to

$A=(1)/(2)bh$

we have

$b=16\ ft$

To find out the height of the triangle Apply the Pythagorean Theorem

$10^2=(16/2)^2+h^2$

solve for h

$100=64+h^2$

$h^2=100-64$

$h^2=36$

$h=6\ ft$

Find the area of triangle

$A=(1)/(2)(16)(6)$

$A=48\ ft^2$

step 2

Find the area of rectangle

The area of rectangle is equal to

$A=LW$

we have

$L=16\ ft\nW=2\ ft$

substitute

$A=(16)(2)=32\ ft^2$

step 3

Find the area of the figure

Adds the areas

$A=48+32=80\ ft^2$

Answer:

80ft^2

Step-by-step explanation:

The measure of one of the acute angles in a right triangle is 63.7º. what is the measure of the other acute angle? 26.3º 76.3º 116.3º 66.3º

Answers

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You have a coupon for a restaurant. You save $3 on a meal. What was the original cost of the meal?

Answers

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