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Harlamova29_29 [7]
3 years ago
5

What is the midpoint of -12 and 4?

Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer:

The midpoint: -4

Step-by-step explanation:

To find the midpoint between two numbers, add them together and divide by 2.

-12 + 4 = -8

-8 ÷ 2 = -4

As one formula you can write this as:

M = \frac{-12 + 4}{2}

M = \frac{-8}{2}

M = -4

∴ The midpoint is -4.

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What will you find on a savings account statement? explain
Trava [24]

Answer: The statements include information about each transaction, including transaction-related fees, and beginning and ending account balances. The bank must provide quarterly statements even if no EFTs occurred.

Step-by-step explanation: hope it helps

8 0
3 years ago
Use the Chain Rule (Calculus 2)
atroni [7]

1. By the chain rule,

\dfrac{\mathrm dz}{\mathrm dt}=\dfrac{\partial z}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial z}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}

I'm going to switch up the notation to save space, so for example, z_x is shorthand for \frac{\partial z}{\partial x}.

z_t=z_xx_t+z_yy_t

We have

x=e^{-t}\implies x_t=-e^{-t}

y=e^t\implies y_t=e^t

z=\tan(xy)\implies\begin{cases}z_x=y\sec^2(xy)=e^t\sec^2(1)\\z_y=x\sec^2(xy)=e^{-t}\sec^2(1)\end{cases}

\implies z_t=e^t\sec^2(1)(-e^{-t})+e^{-t}\sec^2(1)e^t=0

Similarly,

w_t=w_xx_t+w_yy_t+w_zz_t

where

x=\cosh^2t\implies x_t=2\cosh t\sinh t

y=\sinh^2t\implies y_t=2\cosh t\sinh t

z=t\implies z_t=1

To capture all the partial derivatives of w, compute its gradient:

\nabla w=\langle w_x,w_y,w_z\rangle=\dfrac{\langle1,-1,1\rangle}{\sqrt{1-(x-y+z)^2}}}=\dfrac{\langle1,-1,1\rangle}{\sqrt{-2t-t^2}}

\implies w_t=\dfrac1{\sqrt{-2t-t^2}}

2. The problem is asking for \frac{\partial z}{\partial x} and \frac{\partial z}{\partial y}. But z is already a function of x,y, so the chain rule isn't needed here. I suspect it's supposed to say "find \frac{\partial z}{\partial s} and \frac{\partial z}{\partial t}" instead.

If that's the case, then

z_s=z_xx_s+z_yy_s

z_t=z_xx_t+z_yy_t

as the hint suggests. We have

z=\sin x\cos y\implies\begin{cases}z_x=\cos x\cos y=\cos(s+t)\cos(s^2t)\\z_y=-\sin x\sin y=-\sin(s+t)\sin(s^2t)\end{cases}

x=s+t\implies x_s=x_t=1

y=s^2t\implies\begin{cases}y_s=2st\\y_t=s^2\end{cases}

Putting everything together, we get

z_s=\cos(s+t)\cos(s^2t)-2st\sin(s+t)\sin(s^2t)

z_t=\cos(s+t)\cos(s^2t)-s^2\sin(s+t)\sin(s^2t)

8 0
3 years ago
6 times the difference of d and 5?​
densk [106]

Answer:

6d-30

Step-by-step explanation:

6(d-5)

6d-30             distributive property

4 0
2 years ago
Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will
Feliz [49]

Answer:

W \le 6

Step-by-step explanation:

Given

Area = 60ft^2\ (max)

Length = 10ft

Required

Represent the width as an inequality

First, we represent the area as an inequality.

Area = 60ft^2\ (max)

max as used above means less than or equal to.

So, we have:

Area \le 60

The area of a rectangle is:

Area = L * W

So, we have:

L * W \le 60

Substitute 10 for L

10 * W \le 60

Divide both sides by 10

\frac{10 * W}{10} \le \frac{60}{10}

W \le \frac{60}{10}

W \le 6

7 0
3 years ago
HI can someone do these 5 problems? it will really help me out I'll give out brainliest to the person who answers them. (No link
Softa [21]

Answer:

$73.60

$345

simple interest = amount deposited x time x interest rate

600 + (600 x 0.055 x 5) = $765

600 + (600 x 0.055 x 5) > $2000

$765  $2000

He would not have $2000 in 5 years

Step-by-step explanation:

Total cost of items purchased = $75 + (2 x $8.50) = 92

If there is a 20% discount, he would pay (100 - 20%) 80% of the total cost =

0.8 x $92 = $73.60

commission earned = percentage commission x amount of sales

10% x $3450

= 0.1 x 3450 = 345

Amount he would have in his account = amount deposited + simple interest

simple interest = amount deposited x time x interest rate

600 x 0.055 x 5 = $165

Amount in his account in 5 years = $165 + 600 = $765

He would have less than $2000 in his account. he would have $765

4 0
2 years ago
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