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2 years ago

6

Find the length of the curve ⃗ ()=⟨7cos(7),7sin(7),7⟩ for 0≤≤3.

1 answer:

Katarina [22]2 years ago

5 0

Answer:

7cos(14x)

Step-by-step explanation:

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A student solved a quadratic equation as shown here:

djverab [1.8K]

Answer:

x = 3/2 or x = -4

Step-by-step explanation:

The identifiable error the students have is that before the left hand side of the equation is factorized, the right hand side value of 12 ought to be brought to the left hand side, leaving a net value of zero on the right hand side. Then whatever is factored on the left hand side is then equated to zero and then we can find the two values of x after setting each of the individual factors to zero

We proceed as follows;

$2x^{2} + 5x = 12\\2x^{2} + 5x - 12 = 0\\2x^{2} + 8x -3x -12 = 0\\2x(x+4) -3(x+4) = 0\\(2x-3)(x+4) = 0\\2x-3 = 0 or x+4 =0\\2x=3 or x=-4\\x = 3/2 or x= -4\\x = 1.5 or- 4$

6 0

3 years ago

What is the answer of (0,2) and m=-3?

horrorfan [7]

It would go in quarderent 4

8 0

3 years ago

(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their wate

Anon25 [30]

Answer:

The margin of error (E) $=0.49$

Step-by-step explanation:

Given,

mean $\bar{x}=6.88$

standard deviation $\sigma=1.90$

sample size $n=41$

$90\% \quad \text{confidence interval}$

Critical value $=\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}]$

$=1-0.90$

$\Rightarrow \alpha=0.1$

Critical value $=\frac{z_{0.1}}{2}$

$=z_{0.05}$

$=1.645$

The margin of error (E) $=\frac{z_\alpha}{2} \times\frac{\sigma}{\sqrt{n} }$

$=1.645\times\frac{1.90}{\sqrt{41} }$

$=0.49$

Hence, The margin of error (E) $=0.49$

Complete question is attached in below.

7 0

3 years ago

Consider the function. f(x)= -2/3x-24 Which conclusions can be drawn about f–1(x)? Select two options. f–1(x) has a slope of -2/

disa [49]

Answer:

(D) $f^{-1}{(x$) has an x-intercept of (-36, 0).$

(E) $f^{-1}{(x)$ has a range of all real numbers.

Step-by-step explanation:

Given the function: $f(x)= -\dfrac23x-24$

$f(x)+24= -\dfrac23x\\$Multiply both sides by $ -\dfrac32\\x=-\dfrac32(f(x)+24)\\f^{-1}(x)=-\dfrac32f(x)-36$

When y=f(x)=0

$f^{-1}(x)=-\dfrac32(0)-36\\f^{-1}(x)=-36$

Therefore, $f^{-1}(x)$ has a x-intercept of -36$

Also, $f^{-1}(x)$ has a range of all real numbers.

Therefore, Options D and E are correct.

5 0

3 years ago

Select all the ordered pairs that are solutions to the equation 2x+y=−12. (−10, 8) (−9, −6) (−8, −2) (0, −12) (4, −20)

ELEN [110]

Answer:

(-10,8), (0,-12), (4,-20)

4 0

2 years ago