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3 years ago

Due tomorrow please help

Mathematics

1 answer:

NeX [460]3 years ago

7 0

For some of these, a calculator is helpul.

The sum is 294903.

_____
This is the sum of 15 terms of a geometric sequence with first term 9 and common ratio 2. That sum is given by the formula
$S_{n}=a\dfrac{r^{n}-1}{r-1}$
$S_{15}=9\dfrac{2^{15}-1}{2-1}=9\cdot(32768-1)=294903$

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the difference of two number is 28 if the larger number is three time of the smaller find the number

Elza [17]

Set up an equation:

3x - x = 28

Simplify:

2x = 28

Divide both sides by 2

X = 14

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3 years ago

The Schuller family has five members. Dad is 6ft 2in tall. Mom is 3 inches shorter than Dad, but 2 inches taller than Ivan. Marc

ohaa [14]

Answer:

62 inches

Step-by-step explanation:

Let x be the height ( in inches ) of Ivan,

∵ Marcia is 5 inches shorter than Ivan,

height of Marcia = x - 5,

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height of sally-jo = $\frac{x-5}{2}$

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⇒ height of mom = x + 2,

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height of dad = x + 2 + 3 = x + 5,

So, mean height of family is,

$\frac{x+x-5+\frac{x-5}{2}+x+2+x+5}{5}$

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According to the question,

x + 5 = 74 ( 1 ft = 12 in )

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3 years ago

Find the x-intercept of the parabola of with vertex (1,20) and the y-intercept (0,16). write your answer in this form: (x1,y1),(

svetoff [14.1K]

I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:

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Going back to the formula, we can finally solve for the x-intercepts. Simply fill in variables p, h and k then set y to zero:

(x-1)^2=4(-1/16)(0-20)
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Here, we have two values of x

x=sqrt(5)+1 and
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thus, the answers are: (sqrt(5)+1,0) and (-sqrt(5)+1,0).

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4 years ago

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goldenfox [79]

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3 years ago

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Shkiper50 [21]

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