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3 years ago

Solve for d. 9d − 8d = 16 d =

Mathematics

1 answer:

timurjin [86]3 years ago

3 0

D = 16

you would collect the terms
(9-8)x = 16

1x = 16

x = 16

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(2x-3)^5 please I need it fast thank you.

exis [7]

2x = 5 + 3
2x = 8
x = 8/2
x=4

7 0

2 years ago

Show why the limit as x approaches 0 (csc(x)-cot(x)) involves an indeterminate form, and then prove that the limit equals 0.

Nadusha1986 [10]

Answer with Step-by-step explanation:

We are given that $\lim_{x\rightarrow 0 }(csc(x)-cot(x))$

We have to prove that why the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form and prove that the limit equals to 0.

$\lim_{x\rightarrow 0 }(\frac{1}{sinx}-\frac{cosx}{sinx})$

Because $csc(x)=\frac{1}{sinx}$ and $cot(x)=\frac{cosx}{sinx}$

$\lim_{x\rightarrow 0 }(\frac{1-cosx}{sinx})$

$\frac{1-cos0}{sin0}$

We know that cos 0=1 and sin 0=0

Substitute the values then we get

$\frac{1-1}{0}=\frac{0}{0}$

We know that $\frac{0}{0}$ is indeterminate form

Hence, the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form.

L'hospital rule:Apply this rule and differentiate numerator and denominator separately when after applying $\lim_{x\rightarrow a }$ we get indeterminate form $\frac{0}{0}$

Now,using L' hospital rule

$\lim_{x\rightarrow 0 }\frac{0+sinx}{cosx}$

because $\frac{dsinx}{dx}=cosx,\frac{dcosx}{dx}=-sinx}$

Now, we get

$\lim_{x\rightarrow 0 }\frac{sinx}{cos x}$

$\frac{sin0}{cos0}$

$\frac{0}{1}=0$

Hence, $\lim_{x\rightarrow 0 }(csc(x)-cot(x))=0$

5 0

3 years ago

Image below ill give branliest

Kruka [31]

Answer:

It is(-1,5)

Step-by-step explanation:

You just divide the (-3,15) by 3 and you get your answer.

4 0

2 years ago

Read 2 more answers

The round wading pool at the Greenville Community Center has a diameter of 8 feet. What is the pool's circumference? use 3.14 fo

HACTEHA [7]

The circumference of pool is 25.12 feet

Solution:

Given that round wading pool at the Greenville Community Center has a diameter of 8 feet

Therefore,

Diameter = 8 feet

We know that,

$Radius = \frac{diameter}{2}\\\\Radius = \frac{8}{2}\\\\Radius = 4$

Thus radius is 4 feet

The circumference of circle is given by formula:

$C = 2 \pi r$

Where, "r" is the radius of circle

Substitute r = 4

$C = 2 \times 3.14 \times 4\\\\C = 25.12$

Thus circumference of pool is 25.12 feet

7 0

3 years ago

The word ___________________ means parts per hundred.

scZoUnD [109]

Answer:PHR

Step-by-step explanation:

PHR means parts per hundred defenition.

7 0

3 years ago