Write the parametric equations x = 5t - t^3, y= 3 - 4t in the given Cartesian form,

Answer:

$42.54

Step-by-step explanation:

total spent- 709

6/100*709= 42.54

if my answe helps please mark as brainliest.

Take the function y = f(x), with the independent variable x as well as the dependent variable y, to determine the domain of a. If a value for x successfully enables the creation of a single value y using another value for x, it is said to be in the domain of the function f.

The collection of all potential inputs for a function is its domain.

For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

The set of numbers x for which a function is defined in a valid manner is known as the domain of the function.

A function's domain is referred to as a closed interval if it is specified across the interval a ≤ x ≤ b.

So, to find the domain of a, consider the function y = f(x), which has the independent variable x and the dependent variable y.

A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

Therefore, take the function y = f(x), with the independent variable x as well as the dependent variable y, to determine the domain of a. If a value for x successfully enables the creation of a single value y using another value for x, it is said to be in the domain of the function f.

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Answer:

Let X be the amount Jaheem invested in the first money market, and Y be the amount he invested in the second money market. We can set up the following system of equations to represent the given information:

X + Y = 10000 (1)

0.125X + 0.0825Y = 925 (2)

We can solve this system of equations using any method of your choice, such as elimination or substitution.

Using elimination, we can multiply equation (1) by 0.125 and equation (2) by 10,000 to eliminate Y:

1.25X + 1250Y = 1250000

125X + 82500Y = 9250000

Subtracting the first equation from the second gives us:

124X + 82350Y = 8037500

Y = (8037500 - 124X)/82350

Substituting this expression for Y into equation (1) and solving for X gives us:

X + (8037500 - 124X)/82350 = 10000

X = $7,500

Therefore, Jaheem invested $7,500 in the first money market and $2,500 in the second money market.

Step-by-step explanation:

SELF EXPLANATORY

Answer:

the usual definition of pi is the ratio of the circumference of a circle to its diameter, so that the circumference of a circle is pi times the diameter, or 2 pi times the radius. ... This give a geometric justification that the area of a circle really is "pi r squared".Jan 29, 2008

Step-by-step explanation:

In this case, a one-unit increase in the total loans and leases to total assets ratio is associated with an increase in the probability of being financially weak by a factor of 9.1732146.

Based on the provided information, a one unit increase in the total loans and leases-to-assets ratio is associated with an increase in the odds of being financially weak by a factor of -14.18755183 +79.963941181 TotExp/Assets + 9.1732146 TotLns&Lses/Assets. However, in terms of the probability of being financially weak, the exact factor cannot be determined without knowing the baseline probability. Without this information, it is not possible to provide an accurate interpretation of the estimated coefficient for the total loans and leases to total assets ratio in terms of the probability of being financially weak.

To interpret the estimated coefficient for the total loans and leases to total assets ratio in terms of the probability of being financially weak, we need to focus on the relevant term in the equation you provided.

The term we are interested in is: 9.1732146 TotLns&Lses/Assets

This coefficient (9.1732146) represents the change in the odds of being financially weak when the total loans and leases to total assets ratio increases by one unit, while holding the total expenses/assets ratio constant.

In this case, a one-unit increase in the total loans and leases to total assets ratio is associated with an increase in the probability of being financially weak by a factor of 9.1732146.

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6 less than "something" can be written as "something" - 6.

In this case, "something" is "the sum of y and x", which can be written as x + y

So, putting them togethre, we have:

Answer;

22.88m

Explanation

The formula for finding the area of the trinagle is expressed as;

a and b arethe sides of the triangle

theta is the central angle between the sides

Given

a = 12m

b = 7m

theta = 33 degrees

Substitute the given values into the formula as shown;

Hence the area of the triangle to the nearest hundredth is 22.88m

The provide problem which describes a study in which each painting in a sample of 52 paintings of the last supper was analyzed by comparing the size of the food plates in the painting to the head sizes of the people in the painting is a example of hypothesis testing.

The estimation and the hypothesis testing are the two inferential procedure. The hypothesis test is used to check if there is any treatment effect or not, on the other hand the estimation is used to determine amount of the effect. The claim is basically a hypothetical statement that is verified by the sample data under hypothesis testing. For hypothesis testing, there is a requirement of estimation but for estimation there is no need for hypothesis testing. Here we have a study in which each painting in a sample of 52 paintings. Analysis based on comparisation the size of the food plates in the painting to the head sizes of the people in the painting. For the painted prior to the year 1500, the estimated average plate to head size ratio was smaller than this ratio for the paintings that were painted after the year 1500. The estimation procedure is used to estimate the value of the population parameter. In the scenario, there is no estimation done to estimate any population parameter. Therefore, this option is incorrect and the correct choice is hypothesis testing.

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The effect size associated with a statistical test indicates the magnitude or strength of the relationship between variables being tested, regardless of statistical significance.

The p-value associated with a statistical test indicates the probability of observing the given data, or more extreme data, under the null hypothesis.

A smaller p-value suggests that the observed data is less likely to have occurred by chance alone, and it's often used to determine statistical significance.

Common thresholds for significance are p < 0.05 or p < 0.01.
On the other hand, the associated effect size indicates the magnitude or strength of the relationship between the variables being studies.

Effect sizes can be measured in different ways, such as Cohen's d, correlation coefficient, or odds ratio, depending on the type of data and analysis.

Effect size is important because it helps to determine the practical significance of the findings, beyond just the statistical significance indicated by the p-value.

In summary, the p-value assesses statistical significance, while the effect size indicates the magnitude of the relationship between the variables.

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Answer:

6 x 25 = 150-40=110

Step-by-step explanation:

It's right I promise you

Answer:

I do believe the answer is A

The probability that the mean of their test scores is greater than 78 is 0.0301.

Given,

Mean = 73

Standard Deviation σ = 7.8

Number of students randomly selected = 24

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

The number of standard deviations from the mean is called the z - score and can be found by the formula

Z = (x - μ)/σ.

Z = (70 - 73)/(7.8/√24) = -1.88442228

P(z < -1.88) = 0.0301

Therefore, P(z < -1.88) = 0.0301

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The greatest number of sides that can result from a cross section of a rectangular prism is 6.

To see why, consider a rectangular prism. The prism has 6 faces, which are all rectangles. If we take a cross section of the prism, the section will intersect some of the faces, resulting in a closed shape. The shape will have at most as many sides as the number of sides of the faces that the section intersects.

Since each face of the rectangular prism has 4 sides, the maximum number of sides that can result from a cross section is 4 x 6 = 24. However, this is only possible if the section intersects every face of the prism, which is unlikely to occur in general. In practice, a cross section of a rectangular prism is more likely to intersect just a few of the faces, resulting in a shape with fewer sides. Therefore, the greatest number of sides that can result from a cross section of a rectangular prism is 6, which occurs when the section intersects all 6 faces.

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Answer:

See below

Step-by-step explanation:

y  =  -(x-1)^2 +4       Expand  R side

y = - ( x^2 -2x+1) + 4

y = -x^2 +2x -1  + 4

y = -x^2 + 2x + 3          a = -1     b = 2    c   = 3  

A quantity with an initial value of 130 decays exponentially at a rate such that the quantity cuts in half every 9 weeks. 103.18 is the value of the quantity after 21 days.

A process known as exponential decay is when a quantity diminishes over time at a pace that reduces proportionately as the amount shrinks.

The term "exponential decay" refers to a population's or group's rate of decline when it is proportionate to the size of the population. The overall value falls in exponential decay, yet the percentage that departs stays constant over time.

Let, y = 130. aˣ

here, x = number of days

Given that,

A quantity with an initial value of 130 decays exponentially.

the quantity cuts in half every 9 weeks

the value of the quantity after 21 days = ?

So, 130 × \(a^{(7\times9) }\) = 130 × (1/2)

or, a⁶³ = 1/2

or, a \((1/2)^{(1/63)}\)

Thus, y = 130 × \((1/2)^{(x/63)}\)

when x = 21

thus, y = 130 ×\((1/2)^{(21/63)}\)

y = 130 × \((1/2)^{(1/3)}\)

y ≈ 103.18

Hence, 103.18 is the value of the quantity after 21 days.

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Answer:

730:35

Step-by-step explanation:

that's the answer

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

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Independent events are not affected by previous events, that is, the probability of a new event doesn't change from the previous event. However, disjoint sets mean they don't have any data in common, which means the intersection of such sets is impossible. In other words, the events are exclusive, if one occurs, then the other can't occur.

Having said that, we can deduct that scenario 1 represents an independent exclusive event because the occurrence of one event excludes the other. The main reason is that there's just one orange marble.

The beam of light along the shoreline when it is 1 km from P is moving at 125.66 km/min.

Given that, a lighthouse is located on a small island 4 km away from the nearest point P.

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

\(\frac{d\theta}{dt}\) = 6 rev/min

= 6π rad/min

tan θ = x/6

\(\frac{d}{dt}tan\theta=\frac{d}{dt}(\frac{x}{6} )\)

\(sec^2\frac{d\theta}{dt} = \frac{1}{6}(\frac{dx}{dt} )\)

\(\frac{dx}{dt}=6sec^2\theta\frac{d\theta}{dt}\)

At x=1 km; tan θ= x/6 = 1/6

\(sec^2 \theta= 1+tan^2 \theta= 1 + (\frac{1}{6})^2\)

\(sec^2 \theta = \frac{10}{9}\)

\(\frac{dx}{dt} = 6 sec^2\theta \frac{d\theta}{dt}\)

dx/dt = 6 × 10/9 × 6π

dx/dt = 125.66 km/min

Therefore, the beam of light along the shoreline when it is 1 km from P is moving at 125.66 km/min.

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Answer:

The branch of medicine dealing with the ear, nose, and throat. Also known as otolaryngology. ETYMOLOGY: ... Either that, or it's from Greek oto- (ear) + rhino- (nose) + laryngo- (larynx) + -logy (study).

Step-by-step explanation:

Answer:

I think to find the answer you would have to subtract the KL area from 75 and you might need to set up a proportion.

Have fun!

The segment AB is a radius and the notation is ↔ AB

From the question, we have the following parameters that can be used in our computation:

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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The area of the trapezoid is 24cm².

It should be noted that the area of a trapezoid is calculated as:

Area = h × (a + b//2

where h = height

Area = 4 × (4 + 8)/2

Area = 4 × 12/2

Area = 4 × 6

Area = 24cm²

The area is 24cm²

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The process of sampling is used is called the cluster sampling.

According to the statement

We have to find that the process of the sampling.

So, For this purpose, we know that the

Cluster sampling is a probability sampling technique where researchers divide the population into multiple groups (clusters) for research.

From the given information:

The things on which we do the survey :

if we randomly choose names from the phone book, call them, and determine whether they are registered voters.

Then

This sampling technique is used when our population is naturally divided into groups (which we call clusters).

due to this reason this sampling is called a cluster sampling.

So, The process of sampling is used is called the cluster sampling.

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Answer:

(5b^9)/a^3

Step-by-step explanation:

Answer:

That'd be 4 :)

Step-by-step explanation:

Answer:

a)4/10

b)5/100000000000೦

c)6

Answer:

  99.6 cm²

Step-by-step explanation:

You want to know the area of a sector that has radius 6 cm, and subtends an arc of 317°.

The formula for the area of a sector is ...

  A = 1/2r²θ . . . . . . where θ is the central angle in radians

  A = 1/2(6 cm)²(317·π/180) ≈ 99.6 cm²

The area of the sector is about 99.6 square centimeters.