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3 years ago

8

A water butt contains 512.6

1 answer:

Mashutka [201]3 years ago

8 0

Answer:

u can solve ur self but let me help you

Step-by-step explanation:

simply:subtract 525ml from 512.6 liters

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

3 years ago

laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive

gizmo_the_mogwai [7]

Answer:

l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks

5 0

3 years ago

Write the point slope form of the given line that passes through points (-4,-1) and (3,-3). Identify (x1,y1) as (-4,-1) include

Masteriza [31]

Y-y1=m(x-x1)

find slope
(y2-y1)/(x2-x1)

so
(-4,-1)
(3,-3)
slope=(-3-(-1))/(3-(-4))=(-3+1)/(3+4)=-2/7

y-(-1)=-2/7(x-(-4))
y+1=-2/7(x+4)

6 0

3 years ago

A girl has 3 different swimsuits, 4 different shorts and 3 different pairs of flip-flops. In how many different ways can this gi

In-s [12.5K]

Answer:

Option D is the correct answer.

Explanation:

A girl has 3 different swimsuits, 4 different shorts and 3 different pairs of flip-flops.

Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 3P₁ x 4P₁ x 3P₁

= 3 x 4 x 3

= 36

Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 36

Option D is the correct answer.

4 0

3 years ago

A 33 gram sample of a substance that's

Mazyrski [523]

9514 1404 393

Answer:

6.2

Step-by-step explanation:

We presume your "k-value" is the k in the exponential decay term ...

e^(-kt) . . . where t is the number of time units

This is 1/2 when ...

ln(1/2) = -kt

t = ln(1/2)/(-k) = ln(2)/k

t = 0.69315/0.1124 ≈ 6.2

The half life is about 6.2 time units.

6 0

3 years ago