Write an equation to show the relationship between the cost to play a high school sport last year and this year, after the 3% increase. Let y represent
the dollar amount it cost to play a high school sport last year, and let t represent the dollar amount it costs to play a high school sport this year, after
the increase.

Answer:

Answer:

Force = 42 N

Area = 7 m^2

Pressure = Force/Area

= 42/7

= 6 N/m^2.

Step-by-step explanation:

got it from brainly

The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

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The best estimate of the volume of this cylindrical water dispenser is 2940 in³. The correct option is b.

To estimate the volume of the cylindrical water dispenser, we can use the formula for the volume of a cylinder, which is given by V = πr²h, where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius, and h is the height.

Given that the radius of the water dispenser is 7 inches and the height is 20 inches, we can substitute these values into the formula:

V = π(7²)(20)

V = π(49)(20)

V ≈ 3.14 × 49 × 20

V ≈ 3.14 × 980

V ≈ 3075.2 in³

From the given options, the closest estimate to the calculated volume of approximately 3075.2 in³ is option B: 2940 in³. While it is not an exact match, it is the closest estimate among the options provided.

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Answer:

To verify the relation between the degree measure and the radian measure of an angle

To obtain a relationship between degrees and radians, we can compare the number of degrees in one complete rotation and the number of radians in one complete rotation. The number of degrees in one complete rotation is equal to 360 degrees.

Step-by-step explanation:

Hope it helps! Correct me if I am wrong :>

The equation of the line passing through the point (-1,2) with slope m is y = mx + m-2. This is a general equation of the line and we can find different equations by putting different values of m.

We know that when a point and slope of the equation are given, an equation can be written as

\(\frac{y-y_{1} }{x - x_{1} } =m\)

which is known as the slope-point form

where m is the slope of the equation

y1 is the  y coordinate of the given point

x1 is the x coordinate of the given point

In the given question, y1 = 2 and x1 = -1

Substituting the value of coordinates in the slope point equation, we get

\(\frac{y-2}{x-(-1)} = m\)

\(\frac{y-2}{x+1}=m\)

y-2 = mx + m

y = mx + m-2

Hence, the equation of the line passing through the point (-1,2) with slope m is y = mx + m-2.

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What is the equation of the line passing the point (-1, 2) with a slope m?

The probability that a person has to wait more than 10 minutes is approximately 0.0821 or 8.21%.

We know that the probability density function of the exponential distribution with mean β is given by:

f(t) = (1/β) * exp(-t/β)

where t is the time and exp(x) is the exponential function with base e raised to the power x.

To find the probability that a person has to wait more than 10 minutes, we need to integrate the probability density function from t = 10 to infinity:

P(t > 10) = ∫[10,∞] f(t) dt

Substituting the value of β = 4, we get:

P(t > 10) = ∫[10,∞] (1/4) * exp(-t/4) dt

Using integration by substitution, let u = -t/4, then du = -1/4 dt:

P(t > 10) = ∫[-10/4,0] e^u du

P(t > 10) = [-e^u]_(-10/4)^0

P(t > 10) = [-e^0 + e^(-10/4)]

P(t > 10) = [1 - e^(-5/2)]

Therefore, the probability that a person has to wait more than 10 minutes is approximately 0.0821 or 8.21%.

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Answer: yes

Step-by-step explanation: the answer is yes

The solution for the absolute value equation is option (A) x = -15 and x = 21 is the correct answer.

In this question,

One third times the absolute value of the quantity x minus 3 end quantity plus 4 equals 10. The equation for this statement is 1/3  |x - 3| + 4 = 10.

The solution for the equation is

\(\frac{1}{3}\)  |x - 3| + 4 = 10

⇒ \(\frac{1}{3}\) |x - 3| = 10 - 4

⇒ \(\frac{1}{3}\) |x - 3| = 6

Multiply by 3 on both sides,

⇒ \(\frac{1}{3}\) |x - 3| = 6

⇒ \(\frac{3}{3}\) |x - 3| = 18

The absolute value of the equation takes both as positive and negative values.

Case 1: Take as positive value

⇒ x - 3 = 18

⇒ x = 18 + 3

⇒ x = 21

Case 2: Take as negative value

⇒ - (x-3) = 18

⇒ -x + 3 = 18

⇒ x = 3 - 18

⇒ x = -15

Hence we can conclude that the solution for the absolute value equation is option (A) x = -15 and x = 21 is the correct answer.

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(a) For y''+4y=sin2t+(2t+1)cos2t+tsint, we need to find a particular solution Y(t) using the method of undetermined coefficients.

Since the right-hand side of the equation contains sin(2t), cos(2t), and tsin(t), we can assume that the particular solution has the form:

Y(t) = A sin(2t) + B cos(2t) + Ct sin(t) + Dt cos(t) + Et + F

where A, B, C, D, E, and F are undetermined coefficients to be determined.

(b) For y''-4y'+4y=t^2(e^(2t)-1), we need to find a particular solution Y(t) using the method of undetermined coefficients. Since the right-hand side of the equation contains t^2e^(2t) and t^2, we can assume that the particular solution has the form:

Y(t) = (At^2 + Bt + C)e^(2t) + Dt^2 + Et + F

where A, B, C, D, E, and F are undetermined coefficients to be determined.

(c) For y''+2y'+2y=3e^(-t)+2e(-t)cos(t)+4(t^2)e^(-t)sin(t), we need to find a particular solution Y(t) using the method of undetermined coefficients. Since the right-hand side of the equation contains e^(-t), e^(-t)cos(t), and t^2e^(-t)sin(t), we can assume that the particular solution has the form:

Y(t) = Ae^(-t) + (Bt + C)e^(-t)cos(t) + (Dt + Et^2) e^(-t)sin(t) + F

where A, B, C, D, E, and F are undetermined coefficients to be determined.

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Answer:

22

Step-by-step explanation:

first find g(2)

g(2)=2(2)^2-1

         2(4)-1

          8-1

           7

now since g(2)=7 we find f(7)

f(7)=3(7)+1

f(7)=21+1

f(7)=22

hopes this helps

The Statement which is true is (c) the smaller the standard deviation, the more concentrated the data will be.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.

The smallest possible value for the standard deviation is 0, and that happens only in contrived situations where every single number in the data set is exactly the same

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Answer:

hand stand?

Step-by-step explanation:

Check the picture below.

so we really have 6 faces, each one with an area of 2½ x 2½

\(\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the 6 faces }}{6\left( \cfrac{5}{2}\cdot \cfrac{5}{2} \right)}\implies 6\cdot \cfrac{25}{4}\implies \cfrac{75}{2}\implies 37\frac{1}{2}\)

Answer:

So Adam has eaten 1/6 of the pizza.  :)  ;)

Step-by-step explanation:

Assuming the pizza is cut into 8 equal pieces (which would each be 45 degrees of the total 360 degrees of the pizza), we can calculate how much of the pizza Adam has eaten with the given information.

First, we add up the angles of the two pieces Adam has eaten:

35 degrees + 25 degrees = 60 degrees

This means that Adam has eaten 60 degrees out of the total 360 degrees of the pizza. To convert this to a fraction, we divide 60 by 360:

60 / 360 = 1/6

So Adam has eaten 1/6 of the pizza.

tnx.. brainiest please...tnx

Simplifying the fraction by dividing both the numerator and denominator by 7: 7/42 = (1 × 7)/(6 × 7) = 1/6Hence, Adam has eaten 1/6 or 7/42 of the pizza.

Let's begin with the solution by calculating the fraction of the pizza that has been consumed:

Pizza's central angle = 360°

The central angle of Adam’s first piece = 35°

The central angle of Adam’s second piece = 25°

The total central angle of Adam's pizza pieces = 35° + 25° = 60°

The fraction of pizza was eaten by Adam = (Total central angle of Adam's pizza pieces)/(Central angle of one whole pizza)Fraction of pizza eaten by Adam = 60/360 = 1/6So,

Adam has eaten 1/6 of the pizza. Now, we can represent 1/6 as a fraction in which the numerator and denominator have the same value.

We do this by multiplying the numerator and denominator of the fraction by 7/7.

Thus, we get:1/6 = (1 × 7)/(6 × 7) = 7/42Therefore,

Adam has eaten 7/42 of the pizza.

Simplifying the fraction by dividing both the numerator and denominator by 7:7/42 = (1 × 7)/(6 × 7) = 1/6Hence, Adam has eaten 1/6 or 7/42 of the pizza.

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Yes , rotating is  a congruence transformation.

What is a congruence transformation?

A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.

Main body:

A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.

Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.

Hence ,rotating is  a congruence transformation.

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The conversion 336g to m³ is impossible because they measure different units

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

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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Answer:

900

Step-by-step explanation:

Order of operations rules require that we do work enclosed in parentheses first.  Thus we have (6 + 24)^2 = 30^2 = 900.

Answer:

true

Step-by-step explanation:

Answer:

B. The small jug

Step-by-step explanation:

Let's write both of the strawberry lemonades as ratios...

8:40

5:20

Now let's change the second ratio to have the amount of lemonade be 40...

10:40 (we multiply both numbers by 2 as 2*20 is 40)

8:40

This means...

Larger jug: For every 40 ounces of lemonade we have 8 ounces of strawberry puree

Smaller jug: For every 40 ounces of lemonade we have 10 ounces of strawberry puree

Therefore the smaller jug has a stronger flavor

The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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If the radius of circle is represented by the expression "z + 3.6" , then the value of z is 568.9 ft.

The length of the radius of the circle is measured in feet ;

the expression that represents the radius of circle is = z + 3.6 ;

also given that the diameter of the circle is = 1145 ft ;

So ,the radius will be = 1145/2 ft ;

On equating both the radius ,

we get ;

z + 3.6 = 1145/2 ;

z + 3.6 = 572.5 ;

z = 572.5 - 3.6 ;

z = 568.9 .

Therefore , the value of z is = 568.9 ft .

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Answer: The correct answer is 2.3

Step-by-step explanation: Answer confirmed correct on test so no worries

The second linearly independent solution is y = sin(x)cos(x).

To find a second linearly independent solution of the differential equation y" + y' = 0, we can use the method of variation of parameters.

Let's assume that the second solution is of the form y = v(x)cos(x), where v(x) is a function to be determined. Then, we can find the first and second derivatives of y as follows:

y' = v'(x)cos(x) - v(x)sin(x)

y'' = v''(x)cos(x) - 2v'(x)sin(x) - v(x)cos(x)

Substituting these expressions into the differential equation, we get:

v''(x)cos(x) - 2v'(x)sin(x) - v(x)cos(x) + v'(x)cos(x) - v(x)sin(x) = 0

Simplifying, we get:

v''(x)cos(x) - v'(x)sin(x) = 0

Dividing both sides by cos(x), we get:

v''(x) - tan(x)v'(x) = 0

This is a first-order linear differential equation, which can be solved using the integrating factor method. The integrating factor is given by:

exp(-ln|cos(x)|) = 1/|cos(x)|

Multiplying both sides of the differential equation by the integrating factor, we get:

(1/|cos(x)|)v''(x) - (tan(x)/|cos(x)|)v'(x) = 0

The left-hand side is the derivative of (1/|cos(x)|)v'(x) with respect to x. Therefore, we can integrate both sides to get:

(1/|cos(x)|)v'(x) = C1

where C1 is a constant of integration. Integrating again, we get:

v(x) = C1 ∫ |cos(x)| dx = C1 sin(x)

Therefore, the second linearly independent solution is y = sin(x)cos(x).

In summary, the correct answer is option (b), y = sin(x).

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In the given parallelogram ACFG,  If AX = 4y + 4 and XF = 20, This equation is true for all values of y, which means that y can be any value.

Since ACFG is a parallelogram, we know that opposite sides are parallel and equal in length. Therefore, we can conclude that:

AX = FG

We are given that AX = 4y + 4, and we know that XF = 20. So, we can use the fact that opposite sides of a parallelogram are equal to set up an equation:

AX + XF = FG

Substituting the given values, we get:

4y + 4 + 20 = FG

Simplifying the left side, we get:

4y + 24 = FG

Now we can use the fact that opposite sides of a parallelogram are parallel to conclude that:

FG = AC

So we have:

4y + 24 = AC

But we also know that AC = FG = 4y + 4 + 20 = 4y + 24

Substituting this into the equation above, we get:

4y + 24 = 4y + 24

This equation is true for all values of y, which means that y can be any value. In other words, there is no unique solution for the value of y based on the given information.

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Answer: The total number of members in the club is 140 + 695 + 210 = 1,045.

The number of non-senior members is 140 + 695 = 835.

The probability that the first member selected at random will not be a senior member is 835 / 1,045 = 0.798 or 79.8%.

So, the answer is 0.798 or 79.8%.

Step-by-step explanation:

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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Answer:

the answer is 3x

Step-by-step explanation:

Step by Step Solution:

More Icon

STEP

1

:

           1

Simplify   —

           2

Equation at the end of step

1

:

        3           1

 (x +  (— • x)) +  (— • x)

        2           2

STEP

2

:

           3

Simplify   —

           2

Equation at the end of step

2

:

        3          x

 (x +  (— • x)) +  —

        2          2

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

         x     x • 2

    x =  —  =  —————

         1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 2 + 3x     5x

——————————  =  ——

    2          2  

Equation at the end of step

3

:

 5x    x

 —— +  —

 2     2

STEP

4

:

Adding fractions which have a common denominator

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x + x     6x

——————  =  ——

  2        2  

Reducing to Lowest Terms :

4.2      The above result can still be reduced :

    6x      

    —— = 3x  

    2        

Final result :

 3x