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so for a height of 869 feet the time will be 21.725s

[tex]1s = 40ft \\ x = 869ft \\ x= \frac{869}{40} \\ x = 21.725ft[/tex]

Multiplication of a positive number and negative number

   ⇒ is like any other multiplication

      30 * -20 = 30 * ((-1) * 20) = 30 * -1 * 20 = (-1) * 600 = -600

Hope that helped!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex] \qquad \sf  \dashrightarrow \:y = a \sin(bx) + k[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]

The net amount that will be saved by the Jones for the first year will be $814.32.

From the information given, the old mortgage yearly payment will be:

= Monthly payment × Months

= $259.32 × 12

= $3111.84

The new monthly yearly payment will be:

= Monthly payment × Months

= $327.18 × 12

= $3926.16

Therefore, the net amount that will be saved will be:

= $3926.16 - $3111.84

= $814.32

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Answer:

1.c

2.a

3.d

4.b

5.b

Step-by-step explanation:

I found the answers on a web site.

Answer:

1.A

2.D

3.C

4.B

5.A

Step-by-step explanation:

Applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²

Area of trapezium = 1/2(a + b)h.

The following are dimensions of the area of the trapezium filled with water:

Area = 1/2(6 + 8) × 6 = 42 in.²

Therefore, applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²

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Answer:

4.32 Liters

Step-by-step explanation:

12*360 mL= 4320 mL

mL to L= mL/1000

4320/1000= 4.32

Use L'Hopital's rule twice:

[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \lim_{x\to0^+} \frac1{\sin^2(x)} \left(\int_0^x \sin^{-1}(t) \, dt - \int_0^{\frac x2} \sin^{-1}(t) \, dt\right) \\\\ = \lim_{x\to0^+} \frac{\sin^{-1}(x) - \frac12 \sin^{-1}\left(\frac x2\right)}{2\sin(x)\cos(x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{2\sin^{-1}(x) - \sin^{-1}\left(\frac x2\right)}{2\sin(2x)} \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{2\sqrt{1-\frac{x^2}4}}}{4\cos(2x)}  ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{\sqrt{4-x^2}}}{4\cos(2x)}[/tex]

The remaining limand is continuous at x = 0, and the limit is

[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \frac{2-\frac12}4 = \boxed{\frac38}[/tex]

Answer:

a₆ = 243

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3

this indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = 3 , then

a₆ = 1 × [tex]3^{5}[/tex] = 243

243

Hope it helps.

Do comment if you have any query.

Answer:

The answer is (n – 2) (3n + 2)

Step-by-step explanation:

3n² – 4n – 4

3n² – 6n + 2n – 4

3n(n – 2) + 2(n – 2)

(n – 2) (3n + 2)

Thus, (n – 2) (3n + 2) is a factored of

3n² - 4n - 4

Answer:

55a=

step-by-step explanation:

Answer:

-3125

Step-by-step explanation:

Got it right on delta

The f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.

The key features that they have in common are the y-intercept, domain, and range

Linear equations are equations that has a degree of 1 while polynomial equations are equations that has a degree of 2 and above.

Given the following functions

f(x) = –4x + 5 and;

g(x) = x^3 + x^2 – 4x + 5

Since the f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.

The key features that they have in common are the y-intercept, domain and range

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Answer:

40 percent of 46 is 18.4.

Answer:

Step-by-step explanation:

[tex]-3x^2-7x-9=F(x)[/tex]

[tex]F(-5)=-75+40-9=-49[/tex]

[tex]F(2)=-12-14-9=-35[/tex]

[tex]f(-5)+f(2)=-49-35=-84[/tex]

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Here's why I think it's D.

y = x + 44 is the equation the car wash owner uses

x represents the number of days

y represents the number of cars (washed)

so if we plug in one of the given numbers (from the chart)

example:

Day 2 Numbers of Cars Washed 44

2 will represent the "number of days" also known as x

44 will represent the "number of cars" also known as y

so if we plug in those values to the equation the car wash owner uses

y = x + 44, it doesn't match

__________________________________

(44) = 2 + (44)

44 [tex]\neq[/tex] 46

Therefore, I believe the answer is D

Answer:

D

Step-by-step explanation:

Answer:

34 degrees

Step-by-step explanation:

Assuming that ADJ is a right angle, we can add 4x and 3x-8 and set equal to 90 degrees to simply to get get x.

7x-8=90

Add 8

7x = 98

 x= 14

Now that we know x, we can plug in the value to find angle CDJ.

3x-8

3(14)-8

34 degrees

Answer:

It should be called A decic polynomial

Step-by-step explanation:

Answer:

An unlimited number of lines are parallel to the line described by y = 5x + 2. The requirement is that it is in the form y = 5x + b, b ≠ 2.

Step-by-step explanation:

Answer:

The answer for this question is 2 ft

Step-by-step explanation:

12ft÷6ft=2

The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p-value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

Let we take:

X = The balance of a person’s bank account in Superior, WI

Then, by the given data, we have:

[tex]X \sim N(\mu = 580, \sigma = 125)[/tex]

Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.

Symbolically, we have:

[tex]P(X < x) = 80\% = 0.8[/tex]

Converting X to standard normal variate Z, we have:

[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\[/tex]

Thus, the probability statement can be rewritten as:

[tex]P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8[/tex]

From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.

Thus, we get:

[tex]P(Z < z = 0.845) \approx 0.8[/tex]

Thus, we get:

[tex]z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680[/tex]

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.

Now, for second question, we need:

The probability a random person from Superior has less than $400 or more than $1000 in their bank account.

So, income of a random person from Superior is a random value of X.

So, this probability is written as:

[tex]P(400 < X < 1000)[/tex]

Rewritting it, we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)[/tex]

Converting X to Z (standard normal variate), we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)[/tex]

The p-value for Z = 3.36 is 0.9996

The p-value for Z = -1.44 is 0.0749

Thus, we get:

[tex]P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247[/tex]

Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

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Answer:

I think its 40

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Got it right on the assignment.

Hope this helps!!

Answer:

3/13

Step-by-step explanation:

P(Choosing a Face card) =

12/52= 3/13

pls mark as brainliest

Step-by-step explanation:

589292 is the correct answer:-)

Answer:

A.

Step-by-step explanation:

B and C seem to stray away from what the question originally asked.

Answer:

the answer is B ( offer proof by example in answering interview questions)

Step-by-step explanation:

hope this helps:)

ed 2023

Answer:

O = 15

Step-by-step explanation:

.mean ' is the average

(12 + 16 + O + 14 + 8) / 5 = 13

50 + O = 65

O = 15

Answer:

95 is the answer I took the test