Given that 1 kilogram = 2.2 pounds, which statements are true?Two kilograms is equal to 4 pounds.

Three kilograms is greater than 6 pounds.

Four kilograms is less than 8 pounds.

Five kilograms is equal to 11 pounds.

Answers

Answer 1

Answer:

Answer:

the second and fourth statements

Step-by-step explanation:

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Determine the common ratio and find the next three terms of the geometric sequence.-7, 3.5, -1.75 ...
a.
-0.5; 0.450, -0.8655, 0.45985
c.
-1.5; 0.450, -0.8655, 0.45985
b.
-0.5; 0.875, -0.4375, 0.21875
d.
-1.5; 0.875, -0.4375, 0.21875

Answers

Answer:

$a_(4) =0.875$

$a_5=-0.4375$

$a_6=0.21875$

Step-by-step explanation:

As we know that a geometric sequence does have the common ratio whoch is defined as the ratio of a term to the preceding term.

This common ratio is normally denoted by the 'r'.

As the given sequence is

$-7, 3.5, -1.75 ...$

So,

$r=(3.5)/(-7)=-0.5, r=-(1.75)/(3.5)=-0.5$

To find the nth term of a geometric sequence we use the formula:

$a_(n) =a_(1) r^(n-1)$

where,

r is the common ratio and $a_(1)$ being the first term.

So, the next three terms i.e. $a_(4), a_(5)$ and $a_(6)$ can be obtained by substituting the values of n = 4, n = 5 and n = 6 respectively in $a_(n) =a_(1) r^(n-1)$ .

$a_(1) =-7$

$r=-0.5$

$a_(n) =a_(1) r^(n-1)$

So, $a_(4), a_(5)$ and $a_(6)$ can be obtained by substituting the values of n = 4, n = 5 and n = 6 respectively in $a_(n) =a_(1) r^(n-1)$ when $a_(1) =-7$ and $r=-0.5$ .

$a_(4) =a_(1) r^(4-1)$

$a_(4) =(-7) r^(3)$

$a_(4) =(-7) (-0.5)^(3)$

$a_(4) =0.875$

$a_(5) =a_(1) r^(5-1)$

$a_(5) =(-7) r^(4)$

$a_(5) =(-7) (-0.5)^(4)$

$a_5=-0.4375$

$a_(6) =a_(1) r^(6-1)$

$a_(6) =(-7) r^(5)$

$a_(6) =(-7) (-0.5)^(5)$

$a_6=0.21875$

Therefore,

$a_(4) =0.875$

$a_5=-0.4375$

$a_6=0.21875$

Keywords: geometric sequence, common ratio

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Factor the expression given below. Write each factor as a polynomial indescending order. Enter exponents using the caret (^).
125x^3+343y^3

Answers

Final answer:

The expression 125x^3+343y^3 can be factored using the sum of cubes formula to obtain (5x+7y)(25x^2 -35xy + 49y^2).

Explanation:

The expression 125x^3+343y^3 is a sum of two cubes. The formula to factor a sum of cubes, a^3 + b^3, is (a+b)(a^2-ab+b^2). In this case, a is 5x and b is 7y, as (5x)^3 = 125x^3 and (7y)^3 = 343y^3. So, we apply the formula to obtain: (5x+7y)((5x)^2 - (5x)(7y) + (7y)^2), which simplifies to (5x+7y)(25x^2 -35xy + 49y^2).

Therefore, the factored form of the expression 125x^3+343y^3 is

= (5x+7y)(25x^2 -35xy + 49y^2).

Learn more about Factoring here:

brainly.com/question/34290719

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Answer:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b³) , thus

125x³ + 243y³

= (5x)³ + (7y)³

= (5x + 7y)((5x)² - 5x(7y) + (7y)² )

= (5x + 7y)(25x² - 35xy + 49y²)

Plz helppppppppppppp

Answers

Answer:

I think it is a sample space.

A sample space is, according to the dictionary,

"an experiment or random trial is the set of all possible outcomes or results of that experiment"

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

10ft 10ft 16ft height is 8 ft what's the area of a triangle

Answers

Answer:

The area is 64ft ^2.

Step-by-step explanation:

I believe this is an isosceles triangle and if so our base will be 16ft and our height will be 8ft, knowing this we can solve for the area.

Use the form A=bh/2

Now plug it in...

A=16x8/2

A=128/2

A=64ft ^2

Hope this helps :)

Find (fog)(x). f(x) = 2x g(x) = x + 6

write your answer as a polynomial in simplest form.
(f•g)(x)=

Answers

Answer: (f•g)(x)=2x²+12x

Step-by-step explanation:

(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.

(f•g)(x)=2x(x+6) [distribute by FOIL]

(f•g)(x)=2x²+12x

Now, we know that (f•g)(x)=2x²+12x.

AYO 100 POINTS!!! Identify the equation for the graph! (polynomials)

Answers

The equation for the graph is B. $y=(x-1)(x-3)^(3) (x-4).$

To identify the equation for the graph, we can look at the following features:

The graph has three zeros, at x = 1, x = 3, and x = 4. This means that the equation of the graph will have the following factors: (x - 1), (x - 3), and (x - 4).

The graph is even at x = 1 and x = 4, which means that the corresponding factors must be squared.

The graph is odd at x = 3, which means that the corresponding factor must be cubed.

Therefore, the equation of the graph must be of the form:

$y = (x - 1)(a)(x - 3)(b)(x - 4)(c)$

where a, b, and c are positive integers.

To determine the values of a, b, and c, we can look at the end behavior of the graph. As x approaches positive or negative infinity, the graph goes to infinity, which means that the leading term of the polynomial must have a degree greater than 1. The leading term of the polynomial is $(x - 1)(a)(x - 3)(b)(x - 4)(c)$ , so we know that a + b + c > 1.