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The first number in a pattern is 246, and the rule is subtract 10. What is the next number in the pattern?

kumpel [21]

Answer : 236
246 - 10 = 236

3 0

2 years ago

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**A rock dropped from a 100 foot tower.

mars1129 [50]

Answer:

2.83 s

Step-by-step explanation:

We are given that

$h(t)=-16t^2+10t+100$

When a rock reached the ground then h(t)=0

$-16t^2+10t+100=0$

$16t^2-10t-100=0$

Using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$t=\frac{10\pm\sqrt{(-10)^2-4\times 16\times (-100)}}{2(16)}$

$t=\frac{10\pm\sqrt{100+6400}}{32}$

$t=\frac{10+\sqrt{6500}}{32}=2.83$

$t=\frac{10-\sqrt{6500}}{32}=-2.2$

Time cannot be negative .Therefore, negative value of t can not be possible.

Hence, the rock takes 2.83 sec to reach the ground.

8 0

3 years ago

How do you spell 4.10 as a word form

Hoochie [10]

Hello there. ;D

How do you spell 4.10 as a word form
Answer: four and ten hundredths.

8 0

2 years ago

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A boutique handmade umbrella factory currently sells 37500 umbrellas per year at a cost of 7 dollars each. In the previous year

slega [8]

Answer:

$302,500

Step-by-step explanation:

If cost (C) = $7, then Sales (S) = 37,500 units

If cost (C) = $15, then Sales (S) = 17,500 units

The slope of the linear relationship between units sold and cost is:

$m=\frac{37,500-17,500}{7-15}\\m= -2,500$

The linear equation that describes this relationship is:

$s-s_0 =m(c-c_0)\\s-17500 =-2500(c-15)\\s(c)=-2500c + 55,000$

The revenue function is given by:

$R(c) = c*s(c)\\R(c)=-2500c^2 + 55,000c$

The cost at which the derivative of the revenue equals zero is the cost that yields the maximum revenue.

$\frac{d(R(c))}{dc}=0 =-5000c + 55,000\\c=\$11$

The optimal cost is $11, therefore, the maximum revenue is:

$R(11)=-2500*11^2 + 55,000*11\\R(11)=\$ 302,500$

4 0

2 years ago

Determine the slope of the points (-2, -7) and (0, -1)

Radda [10]

Answer:

First let's find the slope of the line through the points and

Note: is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=0.

Also, is the second point . So this means that x%5B2%5D=0 and y%5B2%5D=3.

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.

m=%283-0%29%2F%280--2%29 Plug in y%5B2%5D=3, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-2

m=%283%29%2F%280--2%29 Subtract 0 from 3 to get 3

m=%283%29%2F%282%29 Subtract -2 from 0 to get 2

So the slope of the line that goes through the points and is m=3%2F2

Now let's use the point slope formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula

y-0=%283%2F2%29%28x--2%29 Plug in m=3%2F2, x%5B1%5D=-2, and y%5B1%5D=0

y-0=%283%2F2%29%28x%2B2%29 Rewrite x--2 as x%2B2

y-0=%283%2F2%29x%2B%283%2F2%29%282%29 Distribute

y-0=%283%2F2%29x%2B3 Multiply

y=%283%2F2%29x%2B3 Simplify

So the equation that goes through the points and is y=%283%2F2%29x%2B3

Notice how the graph of y=%283%2F2%29x%2B3 goes through the points and . So this visually verifies our answer.

Graph of y=%283%2F2%29x%2B3 through the points and

Step-by-step explanation:

3 0

2 years ago