h is a trigonometric function of the form h(x)=acos(bxc)+d. Below is the graph of h(x) The function has a maximum point at (3,6) and a minimum point at (6.5,-9) find the formula for h(x). Give an exact expression.
h(x)=
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Answer:1=t

2=flase

3=flase

4=flase

5=true

6=true

7flase

8=true

Step-by-step explanation:i spelt false wrong lol

Answer:

D

Step-by-step explanation:

b/c

A B and C are not true

Answer:

D

Step-by-step explanation:

We can visualize this by ignoring the constant of 0.3 and remembering the |x| graph.

It has a -x slope when x < 0, and a +x slope when x > 0

The only answer that has a negative slope when x is less than 0 and a positive slope when x is greater than 0 is D.

Answer: 6 1/2 yards

Step-by-step explanation: you have to add 1 1/3 + 5/6, which is 2 1/6. 2 1/6x3=6 1/2

Answer:

------------------------------------

Use point-slope form first and convert to slope-intercept.

Point-slope form:

Slope-intercept form:

Plug in the values:

Answer:

y = - 1/12x + 5

Step-by-step explanation:

The exponential growth function that models the population growth of the given city is P(t) = P(0) x e^rt and the population of the city in 2016 is 328,029.39.

The population of the city in 2000 (t=0) = 145,210

The population of the city in 2010 (t=10) = 219,185

Rate of growth for 10 years = ((219185 - 145210)/145210) x 100

Rate of growth for 10 years = 50.943%

Rate of growth per year = Rate of growth for 10 years/10

Rate of growth per year = (50.943/10)%

Rate of growth per year = 5.094%

According to the exponential growth function,

P(t) = P(0) x e^rt

Population in 2016 (t=16) is:

P(16) = 145210 x e^((5.094/100) x 16)

P(16) = 145210 x 2.259

P(16) = 328029.39

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The builder must pay the bank $6005.66. for further details read below.

A mortgage is a type of loan used to purchase or maintain a home, land, or other types of real estate.

For the given problem We must determine the present value of all the relaxations granted to us over the first two years in order to determine how much the builder must pay the bank for this buydown payment. The output and Excel formulae are listed below.

Monthly payment    726.96

Monthly interest rate   10.%/12

Relaxation value in 1st year:

Amount reduced     C2*50%

No. of months    12

present value    PV(C3,C7, -C6)

Relaxation value in 2nd year:

The amount reduced       C2*25%

No. of months    12

present value    PV(C3,C12, -c11)

Present value today     C13/(1+ C 3)^12

Present value of buy option     C14 + C8

Therefore, the buydown option's current value is $6005.66. In order to provide this option to the customers, the builder must pay the bank $6005.66.

b. It is advised to take advantage of this option since the benefit the house buyer would get, or its current value exceeds the additional cost. Benefits to the purchaser of this option include. The benefit to the buyer equals the Present Value of the BuyDown Option - Additional Payment

Buyer benefit is equal to 6005.66 - 5000, or 1005.66$.

So, if a buyer received this option, he would profit $1005.66. It is thus advised to purchase real estate using this buydown option.

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When we have a biased dice where 3 comes up twice as often as each other number, the expected sum of the numbers that appears on two such dice is 48/7.

Therefore, the answer is (A) 48/7.

From given condition of bias, probability of getting 3 is

P(3) = 2 × p

where P(1) = P(2) = P(4) = P(5) = P(6) = p

We also know P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1

That is 2p + 5p = 1

p = 1/ 7

P(3) = 2/7

Expected sum of the numbers that appear on a dice can be obtained by

EV = 1×1/7 + 2×1/7 + 3×2/7 + 4×1/7 + 5×1/7 + 6×1/7

EV = 24/7

Expected sum of the numbers that appear on two dice can be obtained by twice of one dice that is

EV = 2×24/7

EV = 48/7

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Answer:

Step-by-step explanation:

D. Atlantic Charter

The Atlantic Charter established the creation of the United Nations.

The circumference of the triangle is 14.3 Units

We know that a triangle is a polygon that has three sides, three angles and three vertices whose sum of interior angles is 180 degrees.

The coordinates of the given  vertices are:

A(2,2)

B(2,4)

C(8,4)

To find the sides of the triangle, we use the formula for distance between two points

/AB/=[tex]\sqrt{(X_{2}-X_{1}) ^{2} +(Y_{2} -Y_{1})^{2} }[/tex]

= applying the figures in the formula we have

[tex]\sqrt{(2-2)^{2}+(2-4)^{2} }[/tex]

AB=√0+4

AB=2 Units

Applying the formula for /AC/

/AC/=[tex]\sqrt{(2-8)^{2}+(2-4)^{2} }[/tex]

simplifying to have

√40

/AC/=6.6 Units

Applying the formula for /BC/

/BC/=[tex]\sqrt{(8-2)^{2} +(4-4)^{2}[/tex]

/BC/=√36

/BC/=6

Therefore, the circumference of the triangle is 2+6+6.3

= 14.3 units

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1) The function that shows the decay is N(t) = 30e^-rt.

2) The percentage rate of decay is 0.98 %.

We know that an element is said to be radioactive if the element can be able to decay spontaneously. The implication of this is that the amount of the element that in the system would continue to be reduced and new daughter nuclei are formed.

We have that;

If the initial mass of the radioactive isotope X has been give to us in the question as 30 g then it follows that we can write the function as;

N(t) = 30e^-rt

N(t) =Mass of the element at time t

r = rate of decay

t = time taken

Since half of the element X would remain after 71 years, we have;

15 = 30e^ -71r

15/30 = e^ -71r

0.5 = e^ -71r

ln 0.5 = -71r

r = ln 0.5/-71

r = 0.0098 or 0.98 %

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The 95% confidence interval for p, the proportion of all adults who exercise regularly is (0.46, 0.66).

What is a confidence interval?

An estimated range for an unknown parameter is known as a confidence interval. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.

Here, we have

Given

Sample size(n) = 100

x = 56

Sample proportion (p) = x/n = 56/100 = 0.56

Here, c =  95%, a = 0.95

1-a = 0.05, a/2 = 0.025

Z(a/2) = 1.96

95% confidence interval for p is:

= p-Z(a/2)√{p(1-p)}/n, p+Z(a/2)√{p(1-p)}/n

= 0.56- 1.96√{0.56(1-0.56)}/100, 0.56+1.96√{0.56(1-0.56)}/100

= 0.56 - 0.0972, 0.56+0.0972

= 0.4628, 0.6572

= (0.46, 0.66)

Hence, the 95% confidence interval for p, the proportion of all adults who exercise regularly is (0.46, 0.66).

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The function rule of the given table is f(x) = -19x + 107.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the table we have,

f(7) = - 21

f(6) = -19

f(-3) = -1

f(8) = -23

The function rule.

f(x) = mx + c

m = (-19 + 21) / (6 - 7)

m = 21/-1

m = -21

f(6) = -19

x = 6 and f(x) = -19

-19 = -21 x 6 + c

-19 + 126 = c

c = 107

Now,

The function rule is f(x) = -19x + 107.

Thus,

f(x) = -19x + 107 is the function rule.

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There is only one way to represent a vertical line as an equation:

[tex]x=d[/tex]

We're given:

Both of the x-coordinates in these points are equal.

This indicates that this is a vertical line.

The x-intercept of a vertical line will always look like [tex](x,0)[/tex], where x is the same x-value as the given points.

[tex]x=3[/tex]

[tex]x=3[/tex]

The claim "The difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly" is true.

What is meant by mean of data?

In math, mean refers an average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers

Here we have given that a researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples were obtained of 16 people who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded.

And we need to find the the claim that he difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly is true or not.

Here we have the hypothesis is H0:μ1−μ2=0H1:μ1−μ2>0

Here the Level of significance is 0.05

And the value of test statistics is calculated as,

=> t = [(X1−X2)−(μ1−μ2)]/[√S1²n1+S2²n2]

=> t = (73.5−69.3)/ [√10.2216+8.7212]

=> t = 1.1734

Hence, the value of test statistics is 1.1734.

And the critical value at 26 degree of freedom from t-table is 1.706, thus it provides insufficient evidence to reject null hypothesis.

Here, there is a direct relationship between the width of san interval or the sample standard deviation.

Therefore, if variance increases the width of an interval also increase and vice versa. Therefore, above statement is true

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A square-based pyramid has a total of five faces. Four of the faces are triangles and one of the faces is a square. The surface area of a square-based pyramid is the total area of all its sides.

hope this helps!! :D

Check the picture below.

Yes, there are several ways to understand the concept of a limit in calculus without going into the details of a formal proof. One way to understand the concept of a limit is to think of it as a way to measure how close a function gets to a particular value as the input to the function gets closer and closer to a certain number. For example, if we have a function f(x) and we want to find the limit of the function as x approaches 2, we can think of this as asking "how close does f(x) get to a certain number as x gets closer and closer to 2?"

Another way to understand the concept of a limit is to think of it as a way to describe the behavior of a function as the input gets very large or very small. For example, if we have a function f(x) and we want to find the limit of the function as x approaches infinity, we can think of this as asking "how does f(x) behave as x gets very large?"

Overall, the concept of a limit is a fundamental concept in calculus that allows us to describe and analyze the behavior of functions as the input to the function changes. While a formal proof of the limit can be quite complex, there are several intuitive ways to understand the concept without going into the details of the proof.

Answer:

Step-by-step explanation:

i know this isnt the answer but see if this problem can be a guide to find the answer;/

A hypothesis Test will be used to check the association the researchers were interested in exist or not. Chi-square test statistic will be used for testing the relationship between gender and participation in the last election.

The hypothesis test we shall use here is -

Chi-square test for independence

Reason - this type of hypothesis test is used to test whether there is a significant association between two categorical variables.

The two variables in this question are hours spent watching TV and cardiovascular fitness.

2.) Test statistic here is

Chi-square test statistic

Reason - here also to test the association we should use the chi-square test for

and thus the test statistic would be Chi-square.

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m=(C-12)/a

According to question

C=12+a*m

⇒C-12=a*m

⇒(C-12)/a=m

∴Equation to solve for the number of minutes , m = (C-12)/a

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Answer:

101000 centimeters

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides. Thus, the perimeter is [tex]18167+39412+43812 \approx 101000[/tex]

The standard error of X⁻, the mean from a random sample of 36 fill-ups by one driver is; 0.4167

We are given;

Mean; μ = 26 mpg

Standard deviation; σ = 2.50 mpg

Sample size; n = 36 fill ups

The formula for standard error is;

SE = Standard deviation/√Number of samples

Thus, plugging in the relevant values into the standard error formula gives;

SE = 2.5/√36

SE = 2.5/6

SE = 0.4167

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Answer:

no solution

y=x^3

y= 2-1 x 1

Step-by-step explanation:

Answer:

m = -4 ; c = 3

Step-by-step explanation:

m is the number that multiplies x

c is the number without letters

a) The type of function that can be used to describe the value of each house is:

b) The functions that define the value of each house are given as follows:

For House 1, the change each year is a percentage, as follows:

312519.92/303417.30 = 303417.30/294580 = 1.03.

Hence, considering the initial value of $294,580, the exponential function is defined as follows:

H1(x) = 294580(1.03)^x.

For House 2, the change each year is a fixed amount, as follows:

313,000 - 304,000 = 304,000 - 295,000 = 9,000.

Hence, considering the initial value of 295,000, the linear function is defined as follows:

H2(x) = 295,000 + 9,000x.

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Answer:

Answer found by the following formula/e: CI = A – P

The Gambler's Fallacy is due to treating each throw of the dice as independent of previous throws

The gambler's fallacy, also known as the Monte Carlo fallacy, is when someone mistakenly thinks that the outcome of a prior event or series of events will make a given random occurrence more or less likely to occur.

This kind of thinking is flawed since past occurrences do not alter the likelihood that specific events will occur in the future.

In circumstances where the probability of various events is not independent, the gambler's fallacy is not applicable.

The outcome of previous events, such as the statistical permutation of events, might alter the probability of future happenings in such circumstances.

In response to the query,

The Gambler's Fallacy results from treating each roll of the dice as if it were unrelated to prior rolls. Option(4) is correct

The question is incomplete , the complete question is

The Gambler's Fallacy is due to

(1) greed.

(2) bad luck.

(3) failing to treat each throw of the dice as independent of previous throws.

(4) treating each throw of the dice as independent of previous throws.

(5) regression toward the mean.

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equaled the target population. the sample consisted of all veterinarians who returned the questionnaire is None of the answer choices is correct.

The sample in this case consists of all veterinarians who treat horses with Non-Steroidal Anti-Inflammatory Drugs (NSAIDs). The target population for this study would be all veterinarians who treat horses with NSAIDs. Therefore, since the sample is made up of all veterinarians in the target population, the sample equals the target population. None of the answer choices provided is correct in this scenario.

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An infant drinks about 28 ounces of milk per day. There are 32 ounces in a quart, so the baby drinks 28 ÷ 32 = 0.875 quarts of milk per day.

Four weeks is 4 × 7 = 28 days.

In 4 weeks, the baby drinks 28 × 0.875 = 24.5 quarts of milk.