What shape does the net form

The length of the diagonal will be 538.5 ft. Then the rate at which the angle from the man to the car is changing at the same moment will be 46.43 ft/s.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A man stands 200 ft to the left of where a car starts moving north. The car is moving at 50ft/sec.

The rate at which the diagonal distance from the man to the car is changing once the car has been traveling for 10 seconds. Then the length of the diagonal will be

L² = x² + y²

L² = 200² + (50 × 10)²

L² = 40000 + 250000

L² = 290000

L = 538.50 ft

Then the rate at which the angle from the man to the car is changing at the same moment will be

L² = x² + y²

Differentiate with respect to time, then we have

         2L (dL/dt) = 0 + 2y (dy/dt)

2(538.5) (dL/dt) = 2 (500) (50)

                dL/dt = 46.43 ft/sec

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Answer:

C

Step-by-step explanation:

Because it's a negative, then we could assume that it is a negative correlation. And because it's closer to -1, it is a strong negative correlation.

The value -0.993 is Strong Negative correlation.

The strength and direction of two variables in a scatterplot are quantified by the correlation coefficient, or r value. It goes from one to one.

So, the value close to 1 is Strong positive correlation and close to -1 is Strong Negative correlation.

Thus, -0.993 close to -1 is Strong Negative correlation.

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Recall that for all [tex]z\in\Bbb C[/tex],

[tex]\sin(z) = \dfrac{e^{iz} - e^{-iz}}{2i}[/tex]

so that

[tex]\sin(z) = a \iff e^{iz} - e^{-iz} = 2ia[/tex]

Multiply both sides by [tex]e^{iz}[/tex] to get a quadratic equation,

[tex]e^{2iz} - 2iae^{iz} - 1 = 0[/tex]

Solve for [tex]e^{iz}[/tex]. By completing the square,

[tex]e^{2iz} - 2ia e^{iz} + i^2a^2 = 1 + i^2a^2[/tex]

[tex]\left(e^{iz} - ia\right)^2 = 1 - a^2[/tex]

[tex]e^{iz} - ia = \pm \sqrt{1-a^2}[/tex]

[tex]e^{iz} = ia \pm \sqrt{1-a^2}[/tex]

[tex]iz = \log\left(ia \pm \sqrt{1-a^2}\right)[/tex]

[tex]iz = \ln\left|ia \pm \sqrt{1-a^2}\right| + i \left(\arg\left(ia \pm \sqrt{1-a^2}\right) + 2\pi n\right)[/tex]

[tex]\boxed{z = -i \ln\left|ia \pm \sqrt{1-a^2}\right| + \arg\left(ia \pm \sqrt{1-a^2}\right) + 2\pi n}[/tex]

where n is any integer.

We are given with:

[tex]{\quad \qquad \longrightarrow \sin (z)={\sf a}\:,\:z\in \mathbb{C}}[/tex]

Recall the identity what we have for the sine function of complex numbers

Put the values to thus obtain:

[tex]{:\implies \quad \sf \dfrac{e^{\iota z}-e^{-\iota z}}{2\iota}=a}[/tex]

[tex]{:\implies \quad \sf e^{\iota z}-e^{-\iota z}=2a\iota}[/tex]

Multiply both sides by [tex]{\sf e^{\iota z}}[/tex]

[tex]{:\implies \quad \sf e^{\iota z}\cdot e^{\iota z}-e^{-\iota z}\cdot e^{\iota z}=2a\iota e^{\iota z}}[/tex]

[tex]{:\implies \quad \sf (e^{\iota z})^{2}-2a\iota e^{\iota z}-1=0}[/tex]

Put x = [tex]{\sf e^{\iota z}}[/tex]:

[tex]{:\implies \quad \sf x^{2}-2a\iota x-1=0}[/tex]

Find the discriminant, here D will be, D = (-2ai)² - 4 × 1 × (-1) = 4 - 4a² = 4(1-a²)

Now, By quadratic formula:

[tex]{:\implies \quad \sf x=\dfrac{-(-2a\iota)\pm \sqrt{4(1-a^{2})}}{2}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}}[/tex]

[tex]{:\implies \quad \sf e^{\iota z}=\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}}[/tex]

[tex]{:\implies \quad \sf \iota z=log\bigg(\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}\bigg)}[/tex]

Using the formula for logarithms, we have:

[tex]{:\implies \quad \sf \iota z=log(a\iota \pm \sqrt{1-a^{2}})-log(2)}[/tex]

[tex]{:\implies \quad \sf z=\dfrac{1}{\iota}log(a\iota \pm \sqrt{1-a^{2}})-\dfrac{1}{\iota}log(2)}[/tex]

The sine function is periodic on 2πn and zero on (π/2), and the logarithmic expression becomes undefined for all ia±√(1-a²) < 0, so we will take modulus of it

[tex]{:\implies \quad \boxed{\bf{z=\dfrac{1}{\iota}log\bigg|a\iota \pm \sqrt{1-a^{2}}\bigg|-\dfrac{1}{\iota}log(2)+\dfrac{\pi}{2}+2\pi n\:\:\forall \:n\in \mathbb{Z}}}}[/tex]

The period of the given function is  2π/3, the phase shift is 4, and the vertical shift is 6 units.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a trigonometric function:

y = csc[3(x+ 4)]+ 6

Every each revolution of 2π the function repeats the same value for every x.

The period of the original function is 2π

For the given function plug 2π

y = csc[3(x+ 4)+2π]+ 6

y = csc[3(x+ 2π/3+4)]+ 6

The period of the function will be 2π/3

From the function, the phase shift = 4

And vertical shift = 6

Thus, the period of the given function is  2π/3, the phase shift is 4, and the vertical shift is 6 units.

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Option 3

Step-by-step explanation:

Answer:

You each will pay $40.35

Step-by-step explanation:

First you take the total  $134.50 and divide it by 4 which is you and your three friends.

This will give you 33.625 which is the amount each of you will pay without tip.

To find the tip you take 20% from $134.50 which will give you 26.9 and when you divide that by the four of you it will give you 6.725.

Then you take your amount 33.625 plus your tip 6.725 which will give you $40.35.

The total you all will pay will be $161.40 this is the total $134.50 plus the tip $26.90.

Hope this helped.

The equation of the asymptote of the hyperbola is y = 3x + 10

From the complete question the asymptote passes through the points:

(x,y) = (-1, 7) and (-3,1)

The slope of the line is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{7 - 1}{-1 + 3}[/tex]

This gives

m = 3

The equation is then calculated using:

y = m(x -x1) + y1

This gives

y = 3(x + 1) + 7

Evaluate

y = 3x + 3 + 7

y = 3x + 10

Hence, the equation of the asymptote is y = 3x + 10

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Answer:

Option 1

Step-by-step explanation:

The statement which is most likely correct about the line is :

Answer:

10

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]

The Tree casts a height of 10.41 feet tall.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Connor is 6 feet tall and casts a shadow that is 2.5 feet long.

He stands next to a tree that is 25 feet tall.

let the shadow of tree is x feet long.

Using proportion

6/ 2.5 = 25/x

6x = 62.5

x= 10.41 feet

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Answer:

1.04 liters

Step-by-step explanation:

If 50 is 4liters

Then 13 is x

Use this below equation

Value t is for value y then how much for value z

[tex]x = \frac{t}{y} \times z[/tex]

X = 4/50 *13

X = 1.04liters

Or

13/50 = x/4 (cross multiply)

50X = 52

X = 52/50

X = 1.04 liters

Answer:

1.88 m^2/min to the nearest hundredth.

Step-by-step explanation:

Area = π r^2

Using Calculus notation:

dA/dr = 2π r

dr/dt = 0.25  (given)

So the rate of change of area

dA/dt = dA/dr * dr/dt

So when r = 1.2

dA/dt = 2 π * 1.2 * 0.25

= 0.6π  m^2/min.

= 1.88 m^2/min to the nearest hundredth.

The value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Here is the formula for the probability of an exclusive event:-

[tex]P(AUB)=P(A)+P(B)-P(A\cap B)[/tex]

[tex]13=14+P(B)-18[/tex]

[tex]P(B)=17[/tex]

hence the value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.

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Answer:

the answer is 30°

Step-by-step explanation:

180°-90°-60°

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex].  We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

[tex]V=12\pi\:\text{units}^3[/tex]

Step-by-step explanation:

[tex]\displaystyle V=\frac{\pi r^2h}{3}\\ \\V=\frac{\pi (3)^2(4)}{3}\\\\V=\pi(3)(4)\\\\V=12\pi[/tex]

Answer:

72 jumping jacks

Step-by-step explanation:

54 divided by 3 to get per minute and you would get 18 per minute then add to 54 for when she does for 4 minutes

Answer:

72 jumping jacks

Step-by-step explanation:

Answer:

6 quarts of salsa in all

"Twice" indicates multiplying by 2, so multiply 2 by 2 to get 4.

That's not the end of the problem, though. "In all" indicates that we must add the values together. 2 plus 4 is 6, so your answer is 6.

Answer:

Negative correlation

Step-by-step explanation:

You can draw a line of best fit the would go downhill from left to right which would be a negative slope. This means it has a negative correlation.

Answer:

I'm sorry but I need some numbers to solve. we just learned this in class so I'm new though

Step-by-step explanation:

Needs numbers

Answer:

r= 5.35

Step-by-step explanation:

Answer:

the radius is .... 5.35 :P

kaii~

Answer:

C. 20

8 cycles for 1 inch, times 2 is 16, + 4 is 20

Answer:

a= 20

Step-by-step explanation:

12/3

a/5

60 = 3a

a = 60/3 = 20

Using the t-distribution, it is found that the 90% confidence interval is of  2.71 hours to 3.29 hours.

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The other parameters are given as follows:

[tex]\overline{x} = 3, s = \sqrt{0.5} = 0.707, n = 25[/tex]

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 3 - 2.0639\frac{0.707}{\sqrt{25}} = 2.71[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 3 + 2.0639\frac{0.707}{\sqrt{25}} = 3.29[/tex]

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Answer:

24 because it is the middle number

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

raise to five

less than

ten times

Step-by-step explanation:

[tex](3x + 1) + 8(2x - 3) = 4(3x - 1) - 7(x - 4) \\ 3x + 1 + 16x - 24 = 12x - 4 - 7x + 28 \\ 19x - 23 = 5x + 24 \\ 19x - 5x = 24 + 23 \\ 14x = 47 \\ x = \frac{47}{14} [/tex]

Step-by-step explanation:

so, you did not pay attention to even the simplest of facts in the class ?

the radius is always half of the diameter, or (in other words), the diameter is always twice the radius.

that is really all there is to this.

please tell me you need actual help to divide something by 2 ?

you need me to be your calculator ? posting the questing and then typing the results in from here is more effort than just to use your own calculator.

1. 12.6/2 = 6.3 cm

2. 31.08/2 = 15.54 ft

3. (10 7/11)/2 = (110/11 + 7/11)/2 = 117/11 / 2 =

= 117/22 = 5 7/22 cm

(you noticed something ?)

4. sqrt(54)/2 = sqrt (54/4) = sqrt(27/2) = sqrt(13.5) =

= 3.674234614... m

5. 10.125/2 = (10 1/8)/2 = 5 1/16 = 5.0625 in

(see again under 3.)

Answer:

x=1

Step-by-step explanation:Let's solve your equation step-by-step.8x−6=10x−8Step 1: Subtract 10x from both sides.8x−6−10x=10x−8−10x−2x−6=−8Step 2: Add 6 to both sides.−2x−6+6=−8+6−2x=−2Step 3: Divide both sides by -2.−2x−2=−2−2 x=1