What division problem is modeled?

Answer:

$7 dollar per adult

$4 dollars per child

two adults and two children would cost $22

Step-by-step explanation:

Given that in 3 days, a typical robin can eat up to 42.6 feet of earthworm.

Let us find the unit rate.

A unit rate is the ratio between two quantities, where the denominator is 1. Hence, the unit rate is the rate of eating earthworms per day.

To relate the number of earthworms to the number of days, we can use the following steps:

Step 1:

Identify the given quantities in the problem.There are two quantities given: the number of days and the number of feet of earthworm eaten.

Step 2:

Write the ratio of the two quantities.The ratio of the number of earthworms to the number of days is:

42.6 feet of earthworms/3 days

Step 3:

Simplify the ratio into a unit rate.

Dividing 42.6 by 3, we get:

14.2 feet of earthworms per day

Therefore, the unit rate is 14.2 feet of earthworms per day.

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The differential equation is 8x-4 when the equation is (2x-3)(2x+1).

Given that,

The equation is (2x-3)(2x+1)

We have to find the differentiative equation.

Calculus differentiates the process of locating a function's derivatives. A derivative is the pace at which one function changes in relation to another. Sir Isaac Newton set the foundations for the laws of differential calculus. Numerous scientific disciplines make use of the limits and derivatives ideas. The essential ideas of calculus are differentiation and integration.

Differentiation is the rate at which one quantity changes in relation to another.

Take the equation

(2x-3)(2x+1)

We can do in two ways

1st way

Multiply

4x²+2x-6x-3

Subtraction

4x²-4x-3

Differentiation

8x-4

The equation is 8x-4.

2nd way

We have a formula in differentiation that is

u.v=uv'+vu'

Take u as 2x-3 and v as 2x+1

(2x-3)(2)+(2x+1)(2)

4x-6+4x+2

8x-4

Therefore, The differential equation is 8x-4 when the equation is (2x-3)(2x+1).

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Answer:

The root of this equation would be A) x=1

Step-by-step explanation:

To get this, you first need to bring the 98x over to the left side.

\(49x^2-98x+49=0\)

Then, you can simplify the equation by taking out 49.

\(49(x^2-2x+1)=0\)

Then, factor that equation to get \(49(x-1)(x-1)=0\) or \(49(x-1)^2=0\)

Thus, your root would be x=1

Sorry this is a little late, but I hope this helped you!

Answer:

X is equal to 60 degree

Step-by-step explanation:

180-60=2x

120/2=X

so X is equal to 60

Answer:

221

Step-by-step explanation:

divide 214 by 12 then multiply 13 by that questions answer.

The probability that the card you select is a 3

a) as a reduced fraction : 1/13

b) rounded to the nearest thousandth: 0.077
c) rounded to the nearest tenth of a percent: 7.7%

We know that there are 52 cards in a standard deck, subdivided into four categories namely spade, clubs, hearts, and diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king.

This means there are four 3's in a deck of 52 cards.

Let A: selecting a card 3

n(A) = 4

A sample space n(S) = 52

So, the probability that the card you select is a 3:

p(A) = n(A)/n(S)

p(A) = 4/52

p(A) = 1/13

p(A) = 0.07692

rounding to the nearest thousandth.

p(A) = 0.077

rounding to the nearest tenth of a percent

p(A) = 7.7%

Therefore, the required probability is 1/13 (as a reduced fraction) or 0.077 or 7.7%

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Answer:

35%

Step-by-step explanation:

X=the probability of the arrow landing on a green section.

Equation:

40+25+ x = 100

65 +x = 100

(65-65) + x = 100-65

X= 35

Hope this helps!

To find an equation of the curve that satisfies the given conditions, we can use the method of separable variables to solve the differential equation.

Let's consider the slope of the curve at a point (x, y) as given by the derivative dy/dx = 9xy. To find the equation of the curve, we need to integrate this differential equation. Separating variables, we have dy/y = 9x dx. Integrating both sides, we get ln|y| = 9x^2/2 + C, where C is the constant of integration.

To determine the value of the constant C, we can use the initial condition that the curve passes through the point (0, 1). Substituting these values into the equation, we have ln|1| = 9(0^2)/2 + C, which simplifies to ln|1| = C. Since ln|1| is equal to 0, we find that C = 0. Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 9xy at each point is ln|y| = 9x^2/2.

This equation represents the family of curves that satisfy the given conditions. Each specific curve within this family can be obtained by solving for y in terms of x by exponentiating both sides of the equation.

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Answer:

This question is missing some parts, but Dave could have:

- Dave 25 weets, Martin 0 weets

- Dave 27 weets, Martin 3 weets

- Dave 29 weets, Martin 6 weets

- Dave 31 weets, Martin 9 weets

...

Step-by-step explanation:

Since we don't really have much information, we can only rely on the ratio to pull through. Assuming that the ratio is refering to 2 (Dave) : 3 (Martin), we can multiply both by whatever number to get whatever total weets they might have.

Since Martin gives Dave 15 weets, that means that Martin has to have at least 15 weets. So we have to multiply the ratio (Dave and Martin both) with 5+ to get whatever total amount of weets they each have.

So (2/3)(5/5) that Dave might have 10 weets and Martin might have 15 weets. Then when Martin gives Dave 15 weets, Dave'll have 25 weets and Martin 0.

But there's no other information on the total number of weets or anything so Dave may have 25, 27, 29, 31, etc weets.

Answer:

3 times 12 equals 36. 36-4=32. The answer is 32

Step-by-step explanation:

Answer:

3 miles per gallon

Step-by-step explanation:

Given that :

Pickup SUV:

84 miles traveled on 4 gallons of gas

SUV:

72 miles traveled on 3 gallons of gas

How many more miles per gallon did the SUV get than the truck?

Calculating the miles per gallon for each vehicle :

Pickup SUV:

Miles per gallon :

Number of miles traveled / gallons of gas used ;

84 miles / 4 gallons = 21 miles per gallon

SUV:

72 Miles / 3 gallons = 24 miles per gallon

Difference ; (24 - 21) = 3 miles per gallon

Hence, SUV has 3 miles per gallon more Than the pickup SUV

Answer:21.8

Step-by-step explanation:2400 divided by 110 equals 21.8

Answer:

Step-by-step explanation:

Comment

Volume = 5x^3 + 7.5x^2

The width is x

The length is 5x

The height is found by dividing the volume by the width * the length.

Solution

h = Volume/ (length * width)

h = 5x^3 + 7.5 x^2

     =============

        5x*x

h = 5x^3/5x^2 + 7.5x^2/5x^2

Answer

h = x + 1.5        

Comment

Look at how the cancellations take place. The left division cancels the 5s and two of the three xs. The right division cancels the x^2 and 7,5/5 is all that is left.

Option B is correct -  A residual is always greater than the observed Y value.

the observed value is always less then the residual.

Simple linear regression is a regression model that estimates the relationship between one independent variable and one dependent variable using a straight line. Both variables should be quantitative.

Simple linear regression gets its adjective "simple," because it concerns the study of only one predictor variable. In contrast, multiple linear regression, which we study later in this course, gets its adjective "multiple," because it concerns the study of two or more predictor variables.

Simple linear regression analysis and Multiple regression analysis are different One explanatory variable is used only in simple linear regression.

A residual is always greater than the observed Y value.

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In order to determine if the process of claims processing in the medical insurance company is in control, we need to use statistical process control (SPC). One commonly used tool for this is the control chart.

A control chart is a graph of the data collected over time, with control limits representing the range of variation that is considered acceptable. To create a control chart for this situation, we need to calculate the proportion of claims mailed late for each sample and plot them over time. We can then calculate the average proportion and the control limits, which are typically set at three standard deviations above and below the average. If the data falls within the control limits and there are no other patterns or trends, then we can conclude that the process is in control. Using the data provided, we can calculate the average proportion of claims mailed late to be 0.1536, and the control limits to be 0.0427 and 0.2644. Plotting the data on a control chart shows that the data points mostly fall within the control limits, with some variation but no major trends or patterns. Therefore, we can conclude that the process of claims processing in the medical insurance company is in control, meaning that the claims department is meeting its policy of processing all claims received within five days.

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The volume of a hemisphere with a radius of 44.9 m is approximately 189582.2 cubic meters, rounded to the nearest tenth.

To calculate the volume of a hemisphere, you can use the formula

V = (2/3)πr^3

where V is the volume, π is pi (approximately 3.14), and r is the radius. In this case, r = 44.9 m.

So, (2/3)π(44.9)^3 = 189582.234 cubic meters.

This is the exact volume, but since the question asked for the volume rounded to the nearest tenth, the final answer would be 189582.234 cubic meters. It's worth mentioning that a hemisphere is half of a sphere, thus, the volume of a full sphere with a radius of 44.9 m would be double of this value.

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Answer:

B) 5m, 12m, 18m

Answer:

12 feet and 4 feet

Step-by-step explanation:

12 times 4 is 48

and the perimeter is 12 times 2 and 4 times 2 which is 32

hope this helped :D

Answer:X=14,/ integers are-14,16,18,20

Step-by-step explanation:

To get the maximum profit, Kate should display as many cards from company B as possible, since she makes a higher profit from those cards.

Let x be the number of cards from company A and y be the number of cards from company B.

The constraints are:

The objective function is:

  P = 0.30x + 0.32y (the profit from selling the cards)

To maximize the profit, we need to maximize the value of y. Since the display rack can hold up to 90 cards, we can set y = 90 - x.

Substituting this into the objective function:

  P = 0.30x + 0.32(90 - x)
P = 0.30x + 28.8 - 0.32x
P = -0.02x + 28.8

To maximize P, we need to minimize x. Since x must be at least 40, we can set x = 40.

Substituting this back into the objective function:
P = -0.02(40) + 28.8
P = 28

So the maximum profit Kate can make is $28, by displaying 40 cards from company A and 50 cards from company B.

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The reaction produces a dihalide. The reaction’s main product is the most stable dihalide, which is 1,2-dibromobutane. The reaction produces both cis and trans isomers. Nonetheless, the major product is cis-1,2-dibromobutene.

Dienes undergo many of the reactions of alkenes. The following is the mechanism for a Markovnikov addition of HBr to the diene and the prediction of the main product: The reaction of HBr with a diene proceeds through an intermediate known as a bromonium ion. A cyclic bromonium ion forms when bromine attacks the diene’s double bond. The bromine atom is electrophilic, and the double bond is nucleophilic. The reaction goes through a cyclic bromonium ion because the bromine atom needs to be attached to one of the carbons in the double bond to fulfill the octet rule. The following reaction takes place:

The bromonium ion is attacked by the bromide ion in the next step of the mechanism. The bromide ion attacks the carbon in the dyne's double bond that is adjacent to the carbon with the most hydrogen atoms. This is the Markovnikov rule.

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Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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Answer:

-2x - 6 < -8

Step-by-step explanation:

when the first one is smiplfid it gives us   x<−2

when the second one is smiplfid it gives us    x>1 which means it's correct because 8 is greater than 1

plz mark brainliest

Answer:

(  −∞  ,  −2  )  ∪  (  1  ,  ∞  )

Step-by-step explanation:

5x + 3 < -7  →  x  <  −2    → (  −∞  ,  −2  )  

-2x - 6 < -8  → x  >  1        →  (  1  ,  ∞  )

5x + 3 < -7 or -2x - 6 < -8 → x  <  −2  or  x  >  1 →  (  −∞  ,  −2  )  ∪  (  1  ,  ∞  )

Graph 1)   5x + 3 < -7

Graph 2)  -2x - 6 < -8

Graph 3)  5x + 3 < -7 or -2x - 6 < -8

It is given that \(sin x + cos x = 2/5\).To find: \(sin4 x + cos4 x\) We know that \(sin2 x + cos2 x = 1or sin2 x = 1 - cos2 x\)…(1)Also\(,sin x + cos x = 2/5 2)\) Squaring on both sides of equation (2),

we get:\((sin x + cos x)2= (2/5)2sin2 x + cos2 x + 2 sin x\)

\(cosx = 4/25or (1- cos2 x) + 2 sin x cos x = 4/25\)

)Squaring both sides of equation (1),

we get:\(sin4 x + cos4 x - 2 sin2 x cos2 x= (sin2 x + cos2 x)2 - 2 sin2 x cos2 x= 1 - 2 sin2 x cos2 x\) Putting the value of sin2 x cos2 x from equation (3),

we get: \(sin4 x + cos4 x = 1 - 2 (9 - 25 cos2 x)/50= 1 - (9 - 25 cos2 x)/25= (250 - 9 + 25 cos2 x)/25= (241 + 25 cos2 x)/25\)

Thus, \(sin4 x + cos4 x = (241 + 25 cos2 x)/25\), given sin x + cos x = 2/5.More than 250 is not a part of the solution.

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Answer: 2

Step-by-step explanation: hope it helps

The value of the equation A = 14 ± 9 μg/g and the term ±9 represents the margin of error

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 14 ± 9 μg/g   be equation (1)

Now , the value of A can have two values p and q

where , the value of p = 14 + 9 μg/g

p = 23 μg/g

And , the value of q = 14 - 9 μg/g

q = 5 μg/g

On simplifying the equation , we get

It means the margin of error which is no sampling method can guarantee that the sample matches the exact population

]Hence , the researchers are confident that the true average concentration for all the males with epilepsy in the study is between 5 μg/g and 23 μg/g

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The probability that a randomly selected wait time is more than 10 minutes is 1/3.

The probability that a randomly selected wait time is more than 10 minutes can be found by calculating the proportion of the total interval that corresponds to wait times greater than 10 minutes.

The given interval is (0, 15), which means the wait times range from 0 to 15 minutes.

The length of the interval is 15 - 0 = 15 minutes.

Since the distribution is uniform, the probability of selecting a wait time greater than 10 minutes is equal to the proportion of the interval length that corresponds to wait times greater than 10 minutes.

The length of the interval from 10 minutes to 15 minutes is 15 - 10 = 5 minutes.

Therefore, the probability of selecting a wait time greater than 10 minutes is:

P(wait time > 10 minutes) = (length of interval from 10 to 15) / (length of total interval)

                               = 5 minutes / 15 minutes

                               = 1/3.

Hence, the probability that a randomly selected wait time is more than 10 minutes is 1/3.

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