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kvv77 [185]
3 years ago
10

AM I RIGHT PLEASE HELP will mark BRAINLIEST

Mathematics
2 answers:
notsponge [240]3 years ago
8 0
Yeth you are right.......
viktelen [127]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

BC ll EF

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A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 1 cm/s. At what rate is the
Morgarella [4.7K]

Answer:

  49 cm²/s

Step-by-step explanation:

The problem statement tells you what to do.

Write an equation relating A, b, h:

  A = bh . . . . . . the equation for the area of a rectangle

Differentiate with respect to t:

  dA/dt = (db/dt)h + b(dh/dt) . . . . . . . product rule

To find the rate of change after 18 seconds, you need to know the dimensions b and h after 18 seconds. Since each dimension was increasing at the rate of 1 cm/s, it is 18 cm more than it was at the beginning:

At 18 seconds,

  b = 6 cm + 18 cm = 24 cm;

  h = 7 cm + 18 cm = 25 cm.

Of course, db/dt = dh/dt = 1 cm/s. Then the rate of change of area is ...

  dA/dt = (1 cm/s)(25 cm) + (24 cm)(1 cm/s)

  dA/dt = 49 cm²/s

_____

You could write a formula for the area as a function of time and differentiate that:

  A = (6 +t)(7 +t) = 42 + 13t + t²

Then the derivative is ...

  dA/dt = 13 +2t

and when t=18, this is ...

  dA/dt = 13 + 2(18) = 49 . . . . cm²/s

7 0
3 years ago
Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week but is paid a commission on
Luba_88 [7]

Answer:  Natalie make $ 367.5 in a week  in which she made $225 in sales .

Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

Step-by-step explanation:

Base Salary of Natalie =  $300

Also, she gets 30% of the her total sales for the week.

If total sales in a week = $225

commission = 30% of $225

= $ ( 0.30 × 225)

= $ 67.5

Natalie got = Base Salary  + Commission

= $300 + $ 67.5

= $ 367.5

∴ Natalie make $ 367.5 in a week  in which she made $225 in sales .

If total sales in a week = $x

commission = 30% of $x

= $ ( 0.30 × x)

= $ 0.30 x

Natalie got = Base Salary  + Commission

= $ ( 300+x )

∴ Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

7 0
3 years ago
Solve: In 2x + In 2 = 0<br> DONE
pychu [463]

Answer:

x=\frac{1}{4}

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

<em>Note: Ln means Log_e</em>

<em />

Now, lets start with the equation:

ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)

Writing left side with logarithmic base e, we have:

Log_{e}(2x) = -ln(2)

We can now use the property shown below to make this into exponential form:

Log_{a}b=x\\means\\a^x=b

So, we write:

Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x

We recognize another property of exponentials:

a^{bc}=(a^{b})^{c}

So, we write:

e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x

Also, another property of natural logarithms is:

e^{(ln(a))}=a

Now, we simplify:

(e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}

This is the answer.

7 0
3 years ago
HELP FAST!!! <br> what’s the answer?
JulijaS [17]

Answer:

(1,-3)

Step-by-step explanation:

4 0
2 years ago
Solve the equation.9x^2 + 16 = 0
REY [17]

Step 1

Given;

9x^2+16=0

Required: To solve the equation.

Step 2

Solve the equation

\begin{gathered} 9x^2+16-16=0-16 \\ 9x^2=-16 \\ \frac{9x^2}{9}=\frac{-16}{9} \\ x^2=-\frac{16}{9} \\ \sqrt{x^2}=\pm\sqrt{\frac{-16}{9}} \\ x=\sqrt{-\frac{16}{9}},\:x=-\sqrt{-\frac{16}{9}} \\ x=i\frac{4}{3},\:x=-i\frac{4}{3} \end{gathered}

Answer;

x=\frac{4}{3}i,\text{ -}\frac{4}{3}i

4 0
1 year ago
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