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4 years ago

D(n) = -5 (1/2)n-1 What is the 3rd term in the sequence?

Mathematics

2 answers:

Ierofanga [76]4 years ago

8 0

Answer:

-5/4

Step-by-step explanation:

1. This is an explicit formula

All we have to do is plug n = 3 in the formula to find the 3rd term.

2. d(3)=-5(1/2)3-1

= -5/4

jonny [76]4 years ago

3 0

Answer:

-5

Step-by-step explanation:

dₙ = -5 (1/2)n-1

the 3rd term in the sequence means n = 3

d₃ = -5(1/2)(3-1) = -5(1/2)(2) = -5

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Answer:

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3 years ago

Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the b

steposvetlana [31]

Using the volume of a sphere, the total volume of air inside six of Jake's basketballs is of 2140.8 cubic inches.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given as follows:

$V = \frac{4\pi r^3}{3}$

From the problem, since the properly inflated basketball measures 8.8 inches across, the diameter is of 8.8 inches, hence the radius is:

r = 8.8/2 = 4.4 inches.

Then the volume in cubic inches of a single ball is:

V = 4 x pi x (4.4)³/3 = 2140.8 cubic inches.

For the six balls:

6 x 356.8 = 2140.8 cubic inches.

More can be learned about the volume of a sphere at brainly.com/question/25608353

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2 years ago

Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each quadratic graph to its respectiv

ch4aika [34]

Answer:

Part 1) The function of the First graph is $f(x)=(x-3)(x+1)$

Part 2) The function of the Second graph is $f(x)=-2(x-1)(x+3)$

Part 3) The function of the Third graph is $f(x)=0.5(x-6)(x+2)$

See the attached figure

Step-by-step explanation:

we know that

The quadratic equation in factored form is equal to

$f(x)=a(x-c)(x-d)$

where

a is the leading coefficient

c and d are the roots or zeros of the function

Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-3)(x+1)$

Find the value of the coefficient a

The vertex is equal to the point (1,-4)

substitute and solve for a

$-4=a(1-3)(1+1)$

$-4=a(-2)(2)$

$a=1$

therefore

The function is equal to

$f(x)=(x-3)(x+1)$

Part 2) Second graph

we know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to

$f(x)=a(x-1)(x+3)$

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

substitute and solve for a

$8=a(-1-1)(-1+3)$

$8=a(-2)(2)$

$a=-2$

therefore

The function is equal to

$f(x)=-2(x-1)(x+3)$

Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-6)(x+2)$

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

substitute and solve for a

$-8=a(2-6)(2+2)$

$-8=a(-4)(4)$

$a=0.5$

therefore

The function is equal to

$f(x)=0.5(x-6)(x+2)$

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4 years ago

I need help ASAP please! Giving brainliest!!

aksik [14]

The correct answer is C

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3 years ago

Read 2 more answers

Which choice is equivalent to <br> 2^7 divided by 2^-3

harkovskaia [24]

Answer:

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Step-by-step explanation:

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3 years ago