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3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

1 answer:

Crazy boy [7]3 years ago

4 0

1 mile = 2,580 feet. 1 foot = 12 inches. 2,580x12 = 30,960 inches total

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Use the exponential regression equation that best fits the data ( 10 , 4 ) , ( 12 , 20 ) , ( 13 , 35 ) , and ( 16 , 300 ) to est

tigry1 [53]

The exponential regression equation in general has form $y=a\cdot b^x.$

The attached graph shows the exponential curve that best fits given data. From the graph it is seen that

$a\approx 0.0038,\\ \\b\approx 2.0223,$

then the exponential function is

$y=0.0038\cdot (2.0223)^x.$

When x=15,

$y=0.0038\cdot (2.0223)^{15}\approx 147.$

Answer: 147

7 0

4 years ago

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What is 0.98 rounded to the nearest thousandth?

aksik [14]

0.98 is already rounded
it may also be asking for 0.980, which is equal but shows the thousandth place

6 0

3 years ago

An enclosed area is designed using one existing wall, and 72m of fence material. What is the maximum area of the enclosure?

Lunna [17]

Answer:

The maximum area possible is 648 squared meters.

Step-by-step explanation:

Let the length of the existing wall be $\ell$ .

And let the width of the fence be $w$ .

The area of the enclosure will be given by:

$A=w\ell$

Since the area is bounded by one existing wall, the perimeter (the 72 meters of fencing material) will only be:

$72=2w+\ell$

We want to maximize the area.

From the perimeter, we can subtract 2w from both sides to obtain:

$\ell=72-2w$

Substituting this for our area formula, we acquire:

$A=w(72-2w)$

This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex.

We can distribute:

$A=-2w^2+72w$

Find the vertex of the quadratic. Using the vertex formula, we acquire that:

$\displaystyle w=-\frac{b}{2a}=-\frac{(72)}{2(-2)}=18$

So, the maximum area is:

$A=-2(18)^2+72(18)=648\text{ meters}^2$

3 0

3 years ago

100 points! Will mark brainliest! Only answer if u know it!

Svetlanka [38]

Step-by-step explanation:

Hey there!

The 1st equation is;

y= 1/2 x-8.............(i)

Comparing the equation y= mx+c. We get;

Slope (m1) = 1/2

The equation of point which moves through point (-3,-4).

(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}

(y+4) = m2 (x+3)..………(ii)

Now, we need to find m2.

So, the condition of perpendicular lines: m1*m2= -1.

$\frac{1}{2} \times m2 = - 1$

$m2 = - 2$

Therefore, m2 = -2.

So, let's keep value of m2 in eqaution (ii).

y+4 = -2(X+3)

y+4 = -2x-6

y = -2x -10.

Therefore, the eqaution is y= -2x-10.

Hope it helps......

4 0

3 years ago

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26. Write the formula for the volume

shtirl [24]

Answer:

height=6cm

Step-by-step explanation:

height=volume/width×length

height=96cm³/8×2

height=96/16

height=6cm

3 0

4 years ago