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Irina-Kira [14]

3 years ago

13

5/8 + 3/4 / -2/3- 5/6

1 answer:

SVEN [57.7K]3 years ago

8 0

Answer:

-11/12

Step-by-step explanation:

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Find the derivative of f(x)= e^(4x) + e^-(4x)

ololo11 [35]

Answer:

$f'(x)=4e^{4x} -4e^{-4x}$

Step-by-step explanation:

To find this derivative, we will need to use the chain rule.

As there is a variable in the exponent we can use this formula:

$f'(x)=u'e^u$

In this case, $u=4x$ and $u=-4x$

This means that $u'=4$ and $u'=-4$ respectively

This gives us $f'(x)=4e^{4x} -4e^{-4x}$

4 0

2 years ago

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During a carpet sale, a carpet company sold $6,792 worth of carpet. If they sold 849 square yards of carpet, what was the averag

Alika [10]

Answer:

The average price per square yard is $8.00

Step-by-step explanation:

From the question

849 yd² = $6,796

1 yd² = x

Cross Multiply

849 yd² × x = 1 yd² × $6,796

x = 1 yd² × $6,796/849yd²

x = $8.0047114252

Approximately = $8.00

Therefore, the average price per square yard is $8.00

3 0

3 years ago

Solid A is dilated using a scale factor of 2⁄5, resulting in Solid B. Solid B is also dilated using a scale factor of 2⁄5, resul

Lyrx [107]

Answer:

28.8 and 180

Step-by-step explanation:

you just times B by 2/5 to get C and divide it by 2/5 to get A

C = (72)(2/5) = 28.8 km³

A = (72)/(2/5) = 180 km³

We know the answers make sense because A shrinks to get B and B shrinks to get C, and our answers match that.

6 0

2 years ago

Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?

nekit [7.7K]

Answer:

C

Step-by-step explanation:

Ed2020

3 0

3 years ago

Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2

Nana76 [90]

Answer: $k=18\dfrac{8}{11}$ .

Step-by-step explanation:

If a line passing through two points, then

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN $=\dfrac{1-0}{5-0}=\dfrac{1}{5}$

The endpoints of segment AB have coordinates $\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)$ and $\left(-2\dfrac{1}{4} , k\right)$ .

$A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)$

$B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)$ .

Slope of AB $=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}$

$=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}$

$=\dfrac{4k-9}{4}\times \dfrac{44}{-145}$

$=4k-9\times \dfrac{11}{-145}$

$=\dfrac{44k-99}{-145}$

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

$\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1$

$\dfrac{44k-99}{-725}=-1$

$44k-99=725$

$44k=725+99$

$k=\dfrac{824}{44}$

$k=\dfrac{206}{11}$

$k=18\dfrac{8}{11}$

Therefore, the value of k is $k=18\dfrac{8}{11}$ .

8 0

3 years ago

Read 2 more answers