An object moves along a horizontal coordinate line in such a way that its position at time t is specified by s equals t cubed minus 3 t squared minus 24 t plus 8. Here s is measured in centimeters and t in seconds. When is the object slowing​ down; that​ is, when is its speed​ decreasing?

Answer:

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Step-by-step explanation:

Using the slope formula

m = (y2-y1)/ (x2-x1)

and the given points

m = ( 8 - -1)/( 2-2)

    = (8+1) / 0

We cannot divide by 0 so the slope is undefined

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

[tex]P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years[/tex]

Therefore, the population of the city in 13 years time will be:

[tex]P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951[/tex]

The population be at that time will be approximately 1,474,951.

Answer:<5 and <4 are exterior angles

Step-by-step explanation:

Because they are the only ones outside it they are the only ones that are exterior angles!

<!> Brainliest is appreciated! <!>

Answer:

for AL Its 3 and 4

Answer:

Yes. There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Step-by-step explanation:

The question is incomplete:

In October 1945, the Gallup organization asked 1487 randomly sampled Americans, "Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?" with 788 responding yes. Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the α=0.05 level of significance.

This is a hypothesis test for a proportion.

The claim is that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi>0.5

The significance level is 0.05.

The sample has a size n=1487.

The sample proportion is p=0.53.

[tex]p=X/n=788/1487=0.53[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1487}}\\\\\\ \sigma_p=\sqrt{0.000168}=0.013[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.5-0.5/1487}{0.013}=\dfrac{0.03}{0.013}=2.288[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>2.288)=0.011[/tex]

As the P-value (0.011) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Answer:

Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060

Step-by-step explanation:

In order to calculate the probability that the store will sell exactly seven card tables in a given week we would have to calculate the following formula:

probability that the store will sell exactly seven card tables in a given week= e∧-λ*λ∧x/x!

According to the given data furniture store sells four card tables in a week, hence λ=4

Therefore, probability that the store will sell exactly seven card tables in a given week=e∧-4*4∧7/7!

probability that the store will sell exactly seven card tables in a given week=0.060

Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060

Answer:

Third graph from the top

Step-by-step explanation:

A proportional relationship is a straight line that goes through the point (0,0)

Answer:

Step-by-step explanation:

The third straight graph, since a proportion is a relationship in which a second variable is changed by a same value all the time (linear).

Hope this helps, if not, tell me and I shall try again

Answer:

Its 69.1 cm

Step-by-step explanation:

To find circumstance of any circle main formula is 2*pie*r .

Here pie is equal to 3.14 approx and r =11 cm

so

2*3.14*11 = 69.08 cm

This little difference is just because of pie's approximately value used

Let's think about this. MQ is given to be a length of 24 units, PR a length of 10 whilst we must determine what length PM must be in order to satisfy the criteria of parallelogram MPQR to be a rhombus.

Assume this figure is a rhombus, rhombus MPQR. If that is so, all sides must be congruent, and the diagonals must be perpendicular ( ⊥ ) by " Properties of a Rhombus. " That would make triangle( s ) MRQ and say RMP isosceles, and by the Coincidence Theorem, MS ≅ QS, and RS ≅ PS. Therefore -

[tex]MS = 1 / 2( 24 ) = 12 = QS,\\RS = 1 / 2( 10 ) = 5 = PS[/tex]

PS and MS are legs of a right triangle, so by Pythagorean Theorem we can determine the hypotenuse, or in other words the length of PM. This length would make parallelogram MPQR a rhombus,

[tex]( PM )^2 = ( MS )^2 + ( PS )^2,\\PM^2 = ( 12 )^2 + ( 5 )^2,\\PM^2 = 144 + 25 = 169\\-----\\PM = 13[/tex]

And thus, PM should be 13 in length to make parallelogram MPQR a rhombus.

Answer:

w=7

Step-by-step explanation:

1. -8+5w=27

2. add 8 to both sides: 8+-8+5w=27+8

3. Simplify: 5w=35

4. Divide both sides by 5: 5w/5=35/5

5. w=7

Hope This Helps :)

Answer:

w = 7

Step-by-step explanation:

-8 + 5w = 27

Add 8 on both sides.

-8 + 5w + 8 = 27 + 8

5w = 35

Divide both sides by 5.

5w/5 = 35/5

w = 7

Answer: D, 6

Step-by-step explanation:

Match each side from XYZ to ABC (you are trying to find the scale factor of triangle 1 to triangle 2)  into a fraction then simplify

Ex 30/5= 6 or  24/6= 6 or 18/3

Step-by-step explanation:

2 is the answer because:

72/2=36

108/2=54

Answer:

2

Step-by-step explanation:

Well divisible means the lowest numbers it can be divided by.

So we can make a chart.

72 -  1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

108 - 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

So besides 1, 2 is the lowest divisible number between 108 and 72.

Answer:

The margin of error of this confidence interval is MOE=0.085.

Step-by-step explanation:

The confidence interval bounds are usually calculated from a sample statistic substracting (for the lower bound) or adding (for the upper bound) the margin of error. This margin of error depends on the confidence level, the standard deviation and the sample size.

Then, if the lower and upper bound are calculated this way, we can calculate the margin of error as:

[tex]LB=p-MOE\\\\UB=p+MOE\\\\UB-LB=(p+MOE)-(p-MOE)=2\cdot MOE\\\\\\MOE=\dfrac{UB-LB}{2}=\dfrac{0.26-0.09}{2}=\dfrac{0.17}{2}=0.085[/tex]

Answer:

  y = -1000x +11000

Step-by-step explanation:

Given:

  (x, y) = (sales price, number sold) = (3, 8000), (6, 5000)

Find:

  slope-intercept equation for a line through these points

Solution:

When given two points, it often works well to start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Filling in the given points, you have ...

  y = (5000 -8000)/(6 -3)/(x -3) +8000

  y = (-3000/3)(x -3) +8000

  y = -1000x +3000 +8000 . . . . eliminate parentheses

  y = -1000x +11000 . . . . the desired equation

Answer:

0.5kg

2kg

0.7kg

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Answer:

8.) $7325.98

9.) $8218.10

Step-by-step explanation:

Compounded Interest Rate Formula: A = P(1 + r/n)^nt

Simply plug in our known variables into the formula:

A = 6000(1 + 0.04/12)^60 = 7325.98

A = 5000(1 + 0.05/4)^40 = 8218.10

The time it takes them to make 1300 soccer kicks together is 51 minutes

Writing this as a coordinate (x, y). If Kendra can make 120 soccer kicks in 3 minutes and Jovani can make 100 soccer kicks in 4 minutes, this can be written in a coordinate form as (3, 120) and (4, 100)

The standard linear equation is given as y = mx + b

Get the slope:

m = 100-120/4-3

m = -20/1

m = -20

Get the y-intercept:

Recall that y = mx + b

120 = -20(3) + b

120 = -60 + b

b = 180

The required equation is g(x) = -20x + 180

To determine the time it will take them to make 1300 soccer kicks together, substitute g(x) = 1300 and find "x"

1300 = -20x + 180

20x = 1200 - 180

20x = 1020

x = 51 minutes

Hence the time it takes them to make 1300 soccer kicks together is 51 minutes

Learn more on equations here: https://brainly.com/question/11408596

Answer:

Shifting/Translating the function

Step-by-step explanation:

Answer:

Step-by-step explanation:

nice

Answer:

190 cans

Step-by-step explanation:

Total cans collected by Jacob and Dustin for the school can job = 245

Amount of cans they both gave to Dustin's little sister = 55

Now because they gave out cast out of the total they initially had, there would be a deduction in the amount both boys would now have.

To determine the amount the boys are left with, we would deduct 55 casts from the amount they had which 245.

Amount of cans left = 245-55 = 190

Amount of cans left for the boys class = 190 cans

Answer:

A) According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.

Step-by-step explanation:

Given the regression equation:

PACKS i= 57221.431732 − 1423.696906TAXi + 155.441784BARSi + eᵢ.

BARS i= 1 if city i allows smoking in bars

BARSi = 0 if city i does not allow smoking in bars

R2 = 0.351292

P-value = 0.086529

Conlusion:

Simnce p value, 0.0865 is greater than level of significance, 0.05, BARS is not significant. Thus, allowing smoking in bars increase cigarette sales, since the coefficient of BARS is positive.

Correct answer is option A.

According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.

Answer:

a. 0.5413

b. 20

c. 0.3724

d. 4.4721

Step-by-step explanation:

Solution:-

- We will start by defining a random variable X.

                     X : The number of support requests arrived

- The event defined by the random variable ( X ) is assumed to follow Poisson distribution. This means the number of request in two distinct time intervals are independent from one another. Also the probability of success is linear within a time interval.

- The time interval is basically the time required for a poisson event to occur. Consequently, each distributions is defined by its parameter(s).

- Poisson distribution is defined by " Rate at which the event occurs " - ( λ ). So in our case the rate at which a support request arrives in a defined time interval. We define our distributions as follows:

                                   X ~ Po ( λ )

Where,                        λ = 1 / 30 mins

Hence,

                                   X ~ Po ( 1/30 )

a)

- We see that the time interval for events has been expanded from 30 minutes to 1 hour. However, the rate ( λ ) is given per 30 mins. In such cases we utilize the second property of Poisson distribution i.e the probability of occurrence is proportional within a time interval. Then we scale the given rate to a larger time interval as follows:

                                   λ* =  [tex]\frac{1}{\frac{1}{2} hr} = \frac{2}{1hr}[/tex]

- We redefine our distribution as follows:

                                   X ~ Po ( 2/1 hr )

- Next we utilize the probability density function for poisson process and accumulate the probability for 2 to 4 request in an hour.

                           [tex]P ( X = x ) = \frac{e^-^l^a^m^b^d^a . lambda^x}{x!}[/tex]

- The required probability is:

                   [tex]P ( 2 \leq X \leq 4 ) = P ( X = 2 ) + P ( X = 3 ) + P ( X = 4 )\\\\P ( 2 \leq X \leq 4 ) = \frac{e^-^2 . 2^2}{2!} + \frac{e^-^2 . 2^3}{3!} + \frac{e^-^2 . 2^4}{4!}\\\\P ( 2 \leq X \leq 4 ) = 0.27067 + 0.18044 + 0.09022\\\\P ( 2 \leq X \leq 4 ) = 0.5413[/tex]            Answer    

b)

We will repeat the process we did in the previous part and scale the poisson parameter ( λ ) to a 10 hour work interval as follows:

                               λ* = [tex]\frac{2}{1 hr} * \frac{10}{10} = \frac{20}{10 hr}[/tex]

- The expected value of the poisson distribution is given as:

                             E ( X ) = λ

Hence,

                            E ( X ) = 20  (10 hour work day)    .... Answer

c)

- We redefine our distribution as follows:

                                   X ~ Po ( 20/10 hr )

- Next we utilize the probability density function for poisson process and accumulate the probability for 20 to 24 request in an 10 hour work day.

                           [tex]P ( X = x ) = \frac{e^-^l^a^m^b^d^a . lambda^x}{x!}[/tex]

- The required probability is:

                   [tex]P ( 20 \leq X \leq 24 ) = P ( X = 20 ) + P ( X = 21 ) + P ( X = 22 )+P ( X = 23 ) + P ( X = 24 )\\\\P ( 20 \leq X \leq 24 ) = \frac{e^-^2^0 . 20^2^0}{20!} + \frac{e^-^2^0 . 20^2^1}{21!} + \frac{e^-^2^0 . 20^2^2}{22!} + \frac{e^-^2^0 . 20^2^3}{23!} + \frac{e^-^2^0 . 20^2^4}{24!} \\\\P ( 20 \leq X \leq 24 ) = 0.0883 +0.08460 +0.07691 +0.06688+0.05573\\\\P ( 20 \leq X \leq 24 ) = 0.3724[/tex]            Answer  

c)

The standard deviation of the poisson process is determined from the application of Poisson Limit theorem. I.e Normal approximation of Poisson distribution. The results are:

                                σ = √λ

                                σ = √20

                                σ = 4.4721 ... Answer

Answer:

  $450,000

Step-by-step explanation:

  chad = (1/3)profit

  3×chad = profit = 3×$150,000 . . . . multiply the equation by 3; fill given value

  profit = $450,000

The company's overall profits were $450,000.

Answer:

[tex]a_n = 10-3(n - 1)[/tex]

10 + 7 + 4 + 1 + -2 + -5

Step-by-step explanation:

Explicit Arithmetic Formula: [tex]a_n = a_1 + d(n-1)[/tex]

To find d, take the common difference between 2 numbers.

To find the other terms of the sequence, plug them into the explicit formula or subtract 3 from the given numbers.

Answer:

Inequality Form:

x≥130

Step-by-step explanation:

isolate the variable by dividing each side by factors that don’t contain the variable.

Answer:

1/6

1/14

5/64

3/8

Step-by-step explanation:

Easiest and fastest way to evaluate these is to plug it into a calc.

Answer:12.4

Step-by-step explanation:

hyp=16,opp=x

sin 51°=[tex]\frac{x}{16}[/tex]

cross multipy

sin 51° x 16 = x

x=0.7771 x 16

x≅12.4

Answer:

The population of four years ago was 100,783 inhabitants

Step-by-step explanation:

The population of the city after t years is given by the following equation:

[tex]P(t) = P(0)(1-r)^{t}[/tex]

In which P(0) is the initial population and r is the decrease rate, as a decimal.

2 years later, that is to say two years ago, the population of this same city was 81,000 inhabitants and today it is 65,610.

This means that:

[tex]P(2) = 81000, P(4) = 65610[/tex]

We are going to use this to build a system, and find P(0), which is the initial population(four years ago).

P(2) = 81000

[tex]P(t) = P(0)(1-r)^{t}[/tex]

[tex]81000 = P(0)(1-r)^{2}[/tex]

[tex](1-r)^{2} = \frac{81000}{P(0)}[/tex]

P(4) = 65610

[tex]P(t) = P(0)(1-r)^{t}[/tex]

[tex]65100 = P(0)(1-r)^{4}[/tex]

[tex]65100 = P(0)((1-r)^{2})^{2}[/tex]

Since [tex](1-r)^{2} = \frac{81000}{P(0)}[/tex]

[tex]65100 = P(0)(\frac{81000}{P(0)})^{2}[/tex]

Using P(0) = x

[tex]65100 = x(\frac{81000}{x})^{2}[/tex]

[tex]65100 = \frac{6561000000x}{x^{2}}[/tex]

[tex]65100x^{2} = 6561000000x[/tex]

[tex]65100x^{2} - 6561000000x[/tex]

[tex]x(65100x - 6561000000) = 0[/tex]

x = 0, which does not interest us, or:

[tex]65100x - 6561000000 = 0[/tex]

[tex]65100x = 6561000000[/tex]

[tex]x = \frac{6561000000}{65100}[/tex]

[tex]x = 100,783[/tex]

The population of four years ago was 100,783 inhabitants

Answer:

y = 1 and x = 1

Step-by-step explanation:

We are given the equation  y=−5x+6    and    y=3x-2

because both of these equations have y on one side we can substitute the equation as

-5x+6 = 3x-2

(subtract 3x)

-8x+6 = -2

(subtract 6)

-8x = -8

(divide by -8)

x=1

Then all we need to do is put x into the equation

y=-5(1) +6

y = -5+6

y = 1

12 teachers...

Hope this helps.....