The function f(x)=−19sin(73x+16)−3 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit. Over what range of temperatures does the average rate of change in temperature fall? Enter a value in each box to correctly complete the statement. The range in the average rate of change in termperature of the substance is from a low temperature of °F to a high of °F

Answer:

x = square root of 119

Step-by-step explanation:

Because it is only a little bigger than the side it opposes

Answer:

E. n=4

Step-by-step explanation:

"compounded quarterly" meaning 4.

Option E is correct. The amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4

In order to get the amount compounded quarterly, we will use the compounded interest formula as shown:

A = P(1+r/n)^nt where:

A is the amount after 5 years = $6000

r is the rate (in %) = 6% = 0.06

n is the compounding time =  1/4 (quarterly)

t is the time taken (in years) = 5 years

Required

Amount invested quarterly.

First, we need to get the amount initially invested

Substitute the given values into the formula;

6000 = P(1+0.06(4))^{5/4)}

6000 = P(1+0.24)^1.25

6000 = P (1.24)^1.25

6000 = 1.3085P

P = 6000/1.3085

P = $4,585.40

The amount initially deposited will be $4,585.40

The amount deposited quarterly = P/n where n = 4

Amount deposited quarterly = $4,585.40/4

Amount deposited quarterly = $1,146.35

Therefore the amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4.

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Answer:

answer below

Step-by-step explanation:

First of all, I don't know what the random two is there for because no symbols connecting it to the problem so I am removing it.

But anyways, it's PEMDAS so

first (7-3) which is 4

then it equation will look like

3(4)+4

so multiply

12 + 4

then add

16

Answer:

1/2

Explanation:

If you take a sample of 1 drawn from the 8, you will have 8 possible options and 4 of them didn't contain defects. So, the probability can be calculated as:

Therefore, the answer is 1/2

The probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

Given a shipment of 8 computers contain 4 with defects.

That means 8 -4 = 4 computers have no defect.

To find the probability;

we have 8 possible computers and 4 computers have no defect.

The probability;

= 4 /8

= 1/2

= 0.5

Therefore, the probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

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Answer:

3,400 people

Step-by-step explanation:

First, find how many minutes are between noon and 1:30 pm

This is an hour and 30 minutes, so it will be 90 minutes

Then, multiply 90 by 35, since 35 people enter per minute

90(35)

= 3150

Then, add the 250 people that were already in it

3150 + 250

= 3400

So, there will be 3,400 people in the stadium

Answer:

3400

Step-by-step explanation:

250+35m=noon

Answer:

\(x > 3\)

Step-by-step explanation:

Luckily for our brains, inequalities work very similar to equations when solving. Let's get on it.

First, we need to subtract 3 from both sides to isolate the -4x (this means we can then divide to get x by itself).

Which leaves us with \(-4x<-12\).

Now we need to divide both sides by -4. Here's the thing - with inequalities, when we divide both sides by a negative, the sign flips! So after doing this simplification, our inequality looks like this: \(x > 3\)

And there's your answer. :)

Answer:

x>3

Step-by-step explanation:

Jerry hears approximately 2 and 2/19 cases per hour, based on the given information.

To find the number of cases Jerry hears per hour, we can calculate the rate at which he hears cases.

Given that Jerry hears 5 cases every 2 and 3/8 hours, we need to determine the number of cases he hears in one hour.

First, we need to convert the time of 2 and 3/8 hours to an improper fraction.

Multiplying the whole number (2) by the denominator (8) and adding the numerator (3) gives us a total of 19/8 hours.

Now, we can calculate the rate of cases per hour by dividing the number of cases (5) by the time in hours (19/8):

Rate = Number of cases / Time in hours

Rate = 5 / (19/8)

To divide by a fraction, we multiply by its reciprocal:

Rate = 5 \(\times\) (8/19)

Rate = 40/19

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The most important statistic that is obtained through nasometry is the mean nasalance score. Nasometry is a measure of nasalance, which refers to the amount of sound energy that is transmitted through the nose during speech production.

This measure is obtained by comparing the acoustic energy of the sound produced by the mouth and the sound produced by the nose. The mean nasalance score provides information about the average amount of nasality in a person's speech, which can be useful in diagnosing and treating speech disorders such as cleft palate or velopharyngeal insufficiency. The other terms mentioned, such as fundamental frequency and range, are not directly related to nasometry or nasalance.

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Points $a$, $b$, $c$, and $d$ are the midpoints of the sides of the larger square. If the larger square has an area of 60, the smaller square's area is 15 square units.

A square's midpoints connect, making it possible to divide the square into four equal squares. Each of these four squares has a side length of half that of the larger square.

Consider the fact that the area of the larger square is 60, with sides of $s$ units. \($s^2=60$\\\). Now, the smaller square is created by connecting the midpoints of the larger square. Each side of the smaller square has a length of \($s/2$\) units.

Since the area of a square is \($s^2$\), the area of the smaller square is \($\left(\frac{s}{2}\right)^2$\). Simplifying gives \($\left(\frac{s}{2}\right)^2=\frac{s^2}{4}$\). So, the area of the smaller square is \($\frac{1}{4}$\) of the larger square's area.

We know that the area of the larger square is 60. Therefore, the area of the smaller square is \($\frac{1}{4}$\) (60) = 15 square units.

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If a bicyclist in motion increases his speed by 30 percent and then increases this speed by 10% , 43%. percent of the original speed is the total increase in speed

To find the total increase in speed, we first need to find the new speed after the first increase of 30%.

If the original speed is represented as 100%, then the new speed after the first increase is

100 + (30% of 100) = 100 + 30 = 130.

Next, we find the new speed after the second increase of 10%.

The new speed after the second increase is

130 + (10% of 130) = 130 + 13 = 143.

Finally, we find the percent increase in speed compared to the original speed of 100%.

The percent increase in speed is

(143 - 100) / 100 * 100 = 43%.

Therefore, the total increase in speed is 43%.

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Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle , that is

3x + 2x + 6 + 6x - 3 ( simplify by collecting like terms )

= 11x + 3

Given the perimeter = 36 units , then

11x + 3 = 36 ( subtract 3 from both sides )

11x = 33 ( divide both sides by 11 )

x = 3

Then

base = 2x + 6 = 2(3) + 6 = 6 + 6 = 12 units

height = 3x = 3(3) = 9 units

hypotenuse = 6x - 3 = 6(3) - 3 = 18 - 3 = 15 units

One possible solution that could be used to address the problems caused by the Electoral College is "electoral reform."

Popular Vote: One approach is to replace the Electoral College with a system where the President is directly elected by a popular vote. This would eliminate the possibility of a candidate winning the presidency while losing the popular vote, as has happened in some elections.

Proportional Representation: Another option is to implement a proportional representation system, where the allocation of electors is based on the percentage of votes a candidate or party receives in each state. This would ensure a more proportional representation of voters' preferences and reduce the influence of winner-takes-all mechanisms.

National Popular Vote Interstate Compact: This reform proposal aims to work within the existing Electoral College framework. States that join the compact agree to allocate their electoral votes to the winner of the national popular vote, effectively ensuring that the candidate who receives the most votes nationwide becomes the President.

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Answer:

7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, and 7.9

Step-by-step explanation:

There is no whole number, but there are decimals that fall in between 7 and 8.

~theLocoCoco

Answer:

x=y=z=106

Step-by-step explanation:

The upper line is a straight line, so x+74=180, x=106.

y and x are equal in measure as it's a pair of parallel lines and z=y as they are alternate interior angles

A - Growth (25%)

B- Growth (75%)

C - Growth

D - Growth (100%)

E - Growth (99%)

An rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

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Your twin is likely to visit the dentist more frequently than you due to the difference in insurance plans.

Based on the given information, your insurance plan has a fixed copay of $40 for each doctor's visit, while your twin's copay is 20% of the total cost. Considering the local dentist charges $150 for a cleaning, you would pay a fixed copay of $40 regardless of the total cost. On the other hand, your twin's copay would be 20% of $150, which amounts to $30. Therefore, your twin would have a lower out-of-pocket expense for each dentist visit compared to you.

Due to the lower copay, your twin is more likely to visit the dentist more frequently. The difference in copayments means that your twin would save $10 on each visit, making it more cost-effective for them to seek dental care. This financial advantage would incentivize your twin to take better advantage of their insurance plan and visit the dentist more often.

Based on this reasoning, it is unlikely that you and your twin would visit the dentist the same number of times. Furthermore, there is no indication in the given information that your twin would switch insurance plans, as their plan offers a more favorable copayment structure for dental visits.

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Answer:

x= -3,      x = 1

Step-by-step explanation:

Zeros are values of x, when f(x) = 0.

0=(x+3)(x-1)

x+3 = 0,  x - 1=0

x= -3,      x = 1

Answer:

x = -3, x = 1

Step-by-step explanation:

To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.

In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.

As such, these are your solutions.

Answer:

It already is in the order.

-1.4, -1.38, -0.5, 0.76, 1.9

There are ten distinct nonabelian groups of order 56. By analyzing the structure of the group G, it can be determined that G either has a normal Sylow 2-subgroup or a normal Sylow 7-subgroup. Finally, it is proven that there exists a unique group of order 56 with a nonnormal Sylow 7-subgroup.

Given |G| = 56, the first step is to determine the existence of a normal Sylow 2-subgroup or a normal Sylow 7-subgroup. By Sylow's theorems, the number of Sylow 7-subgroups must divide 8 and leave a remainder of 1. Since 8 does not satisfy this condition, there is at least one Sylow 7-subgroup that is normal. Thus, G has either a normal Sylow 2-subgroup or a normal Sylow 7-subgroup.

Next, by constructing semidirect products with the Sylow 2-subgroup or the Sylow 7-subgroup, different nonisomorphic groups can be formed. The choice of the Sylow 2-subgroup determines the possibilities. For example, if S is isomorphic to Z2 x Z2 x Z2, one group can be formed. If S is isomorphic to Z4 x Z2, two nonisomorphic groups can be constructed. Similarly, for S = Z8, one group can be formed, and for S = Q8 (the quaternion group), two nonisomorphic groups can be constructed. Finally, for S = D8 (the dihedral group of order 8), three nonisomorphic groups can be formed.

Furthermore, when G is the direct product of the Sylow 2-subgroup and the Sylow 7-subgroup, it can be observed that all nonidentity elements of the Sylow 7-subgroup have the same order. This arises from the fact that conjugation by an element in the Sylow 7-subgroup preserves the order of its elements.

Lastly, it can be proven that there exists a unique group of order 56 with a nonnormal Sylow 7-subgroup. By the classification of groups of order 56, the only possibility is a group with presentation ⟨\(a, b | a^7 = b^2 = 1, b^-1ab = a^3\)⟩. This group has a nonnormal Sylow 7-subgroup, and its uniqueness is demonstrated by examining the available options for Sylow 7-subgroups based on the divisor properties of 56.

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Answer:

Step-by-step explanation:

A = P(1-r)^n

A = 35098(1-2.33%)^13

   = $25 833.18

Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3

The decimal number rounded to 3 decimal places will be 0.333.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The fraction number is given below.

⇒ 3/9

Convert the fraction number into a decimal number.

3/9 = 0.33333....

If the ten thousandth place after the decimal is less than 5, then the thousandth place after the decimal will be unchanged.

In the ten thousandth place after the decimal is 3, then the number 3 is unchanged.

The decimal number rounded to 3 decimal places will be 0.333.

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18.42 years will it take to exhaust her annuity, i.e., run the account down to zero

Given the following information,

PV = $610,000

i = 6.5%

PMT = $40,000/year

The number of years for Ruth to exhaust all her funds from the account is 18.42

Using the financial calculator, we can easily find the value of n equals to 18.42 years in which the account finishes to zero.

n = 18.42 years

An annuity is a contract between you and an insurance company that requires the insurer to make payments to you, either incontinently or in the future. You buy an subvention by making either a single payment or a series of payments.

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Answer:

4

Step-by-step explanation:

To know the scale factor here, just know that 16/4 = 4, and 8/2 = 4 too, so the scale factor is 4.

Just that the respective sides need to have the same ratio.

Note, if it was from B to A, it'd be 1/4.

Answer:

I took the test the answer isnt 4 its 7 hes wrong

Step-by-step explanation:

glad to help :)

The derivative of y with respect to x is \(y' = 4(x^2 + 4x + 2)(x + 2)\). The slope of the tangent line at the point (3, 529) is 460. The equation of the tangent line at the point (3, 529) is y = 460x - 851.

To find the slope of the tangent line at the point (3, 529) on the curve \(y = (x^2 + 4x + 2)^2\), we first need to find y' (the derivative of y with respect to x).

Let's differentiate y with respect to x using the chain rule:

\(y = (x^2 + 4x + 2)^2\)

Taking the derivative, we have:

\(y' = 2(x^2 + 4x + 2)(2x + 4)\)

Simplifying further, we get:

\(y' = 4(x^2 + 4x + 2)(x + 2)\)

Now, we can find the slope of the tangent line at the point (3, 529) by substituting x = 3 into y':

\(y' = 4(3^2 + 4(3) + 2)(3 + 2)\)

y' = 4(9 + 12 + 2)(5)

y' = 4(23)(5)

y' = 460

Using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y1 = m(x - x1)

where (x1, y1) is the given point (3, 529), and m is the slope (460).

Substituting the values, we get:

y - 529 = 460(x - 3)

y - 529 = 460x - 1380

y = 460x - 851

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Given data:

The given number is a=0.09.

The given nummber can be written as,

a=0.09

=9x10^(-2)

=9/100

Thus, the given nummber can be written infraction form as 9/100.

Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

I HOPE ALL THIS HELPS

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let x be the charge for an oil change, and let the tax on x be 7% so that the actual charge is 1.07x. let y be the number of containers of oil that are needed, and $2 the price per container. then 2y is the price of the oil itself. the cov(x,y) is 5.6.

The covariance of 1.07x and 2y is 11.984

Covariance refers to the way two variables shift together. It is a measurement that evaluates how close two variables are to one another. It examines whether they change in the same direction (positive covariance) or in the opposite direction (negative covariance)

.Calculating Covariance:

Given that Cov(X,Y) = 5.6

we need to find Cov(1.07X,2Y)Hence,

Cov(1.07X,2Y) = 2 * 1.07 * Cov(X,Y) = 2.2996 * 5.6 = 11.984

Therefore, the covariance of 1.07x and 2y is 11.984.

Hence option (a) is the correct answer.

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