PLEASE SOMEONE TELL ME HOW THEY GOT 423 cm AS THE ANSWER FOR A. I NEED HELP WITH THIS QUESTION!!!!!!!!!!!!!

Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

A mathematical equation is an expression with equality on both sides of the equal to sign that connects two other expressions. Think about the equation 3y = 16 as an illustration.

To find the value of k, we need to use the information given to solve for k in the equation T = Ta + (To - Ta) * \(e^(-kt)\), where T is the temperature of the can of soda, Ta is the ambient temperature (73°F), To is the temperature of the refrigerator (39°F), and t is the time elapsed in minutes.

We know that after 15 minutes, the temperature of the can of soda reaches 61°F, so we can substitute these values into the equation and solve for k:

61 = 73 + (39 - 73) * \(e^(-k * 15)\)

-12 = -34 * \(e^(-15k)\)

0.3529 =\(e^(15k)\)

㏒(0.3529) = 15k

k = -0.0301

So k is approximately -0.0301, rounded to the nearest thousandth.

To find the temperature of the can of soda after 115 minutes, we can use the same equation with the value of k we just found:

T = 73 + (39 - 73) * \(e^(-0.0301 * 115)\)

T = 73 + (-34) * \(e^(-3.47)\)

T = 73 + (-34) * 0.54

T = 54.62

Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

To know more about equation visit:

https://brainly.com/question/10413253

#SPJ1

The terms that describe the statement are data analysis statistical inference and descriptive statistics

The statement is given as:

When statisticians analyze data in order to draw conclusions about the characteristics of a population.

From the above statement, we have the following highlights:

The term that describes the above highlights is data analysis statistical inference.

The term can also be referred to as descriptive statistics.

Hence, the terms that describe the statement are data analysis statistical inference and descriptive statistics

Read more about descriptive statistics at

https://brainly.com/question/10272098

#SPJ1

70-70-40 is an isosceles triangle.

Read more about the isosceles triangle:

https://brainly.com/question/25812711

#SPJ4

The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

To know more about determinant visit

https://brainly.com/question/11841826

#SPJ11

We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

To know more about determinant visit

https://brainly.com/question/11843479

#SPJ11

Answer:

76

Step-by-step explanation:

21+(36+19)

21+(55)

21+55

=76

Answer:

The identity property

Step-by-step explanation:

I took it on Egd.

Answer: \(y=\dfrac12 x\) .

Step-by-step explanation:

We know that \(a f (x)\)  compresses f(x) vertically such that

If we vertically compress the linear parent function, F(x) = x, by multiplying by \(\dfrac12\).

Then, the equation of the new function is \(y=\dfrac12 F(x)=\dfrac12 x\) .

i.e. \(y=\dfrac12 x\) .

a) The value of the composite function sin −1[sin(−43π​)] =−π/2

b) The value of the composite function csc[tan −1(−2)] = =1/√3.

a) express sin(−43π​) in terms of quadrantal angles.

The point corresponding to −43π​ is four quadrants (and thus two revolutions) clockwise from 0.

Thus, subtract 2π from −43π​, which yields −(3π/2), an angle that is one quadrant and one revolution clockwise from 0.

Because sin is negative in the third quadrant,

sin(−43π​)

=sin(−(3π/2))

=−1.

sin −1[sin(−43π​)]

=sin −1[−1]

=−π/2, where sin(−π/2)=−1.

b), tan −1(−2) is negative and in the second quadrant.

draw a right triangle with a hypotenuse of length 1 (which is also the radius of the unit circle) and an opposite side of length 2 (because tan is opposite over adjacent).

Let y be the length of the adjacent side, so that tan θ=−2/1=−2.

Apply the Pythagorean theorem:

y2+22=12

⇒y2=1−22

=−3.

Since y is negative and lies in the second quadrant, csc θ=−1/sin θ to find csc[tan −1(−2)]

=−1/sin θ.

Because sin θ=y/1

=−√3, csc[tan −1(−2)]

=−1/(−√3)

=1/√3.

To learn more about composite function,

https://brainly.com/question/17749205

#SPJ11

The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.

First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.

Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.

Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.

Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.

The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.

To know more about calculated , visit ;

https://brainly.in/question/2221194

#SPJ11

Using the proportional rule of Similar Triangles, the length of SD is 12 m.

Given a truss bridge.

From it,

The triangles BCD and RSD are similar.

For similar triangles, corresponding sides are proportional.

Corresponding sides are,

BC and RS, CD and SD, BD and RD.

BC / RS = CD / SD = BD / RD.

Consider BC / RS = CD / SD.

2 / 1 = 24 / SD

2 (SD) = 24

SD = 12

Hence the length of SD is 12 m.

Learn more about Similar Triangles here :

https://brainly.com/question/14926756

#SPJ1

Answer:

\(\displaystyle \large{y=\frac{18+4h}{5} }\\\)

Alternatively, you can use \(\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\\) as an answer.

Step-by-step explanation:

To make y as the subject of equation, we have to find a way to isolate y-variable.

First, add 4h both sides of equation which we obtain:

\(\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}\)

Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.

\(\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }\)

Thus the answer is y = (18+4h)/5

Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.

\(\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\\)

Either one of these solutions work.

_______________

Let me know in the comment if you have any questions.

Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

To know more about percentage change visit:

https://brainly.com/question/14801224

#SPJ1

Answer:

(D) \(x>-10\)

Step-by-step explanation:

If we have the inequality \(-7x + 4 > -8x - 6\), we can simplify it down and get \(x\) isolated on one side of the equation.

Add 6 to both sides:

\(-7x + 4 + 6 > -8x - 6 + 6\\\\-7x + 10 > -8x\)

Add \(8x\) to both sides of the inequality:

\(-7x + 10 + 8x > -8x+8x\\\\x + 10 > 0\)

Subtract 10 from both sides of the inequality:

\(x + 10 - 10 > 0 - 10\\\\x > -10\)

So (D) \(x>-10\) is the correct simplification.

Hope this helped!

Answer:

-3x - 6 = -9    (The third answer)

Step-by-step explanation:

When solving for x, you have to undo each operation. When solving -3x - 6 = -9, you have to undo the -6 first. To do this, add 6 to both sides. Then, you must undo the -3x. To do this, divide by -3 from both sides.

A 95% confidence interval is a common way to report results from polls and surveys, and it helps us understand the uncertainty inherent in estimating population parameters from a sample.

A 95% confidence interval of the proportion of Americans who believe it is the government's responsibility for health care means that if we were to conduct this same poll many times, 95% of the intervals we calculate would contain the true proportion of Americans who believe the government is responsible for health care.

The interval gives us a range of plausible values for this proportion, based on the data collected in the poll. The interval is constructed using a sample of Americans, and it gives us an estimate of the true proportion of the population.

The pollsters likely used a random sample of Americans to collect the data, which allows us to make statistical inferences about the population as a whole. The margin of error for the interval is also likely reported, which tells us how much we can expect the interval to vary if we were to conduct the poll again with a new sample.

To learn more about surveys

https://brainly.com/question/17373064

#SPJ4

Answer:

Explanation:

The standard form of a linear equation is

However, it is a lot easier if we find the equation in slope-intercept form

and then rearrange the above equation to write it in standard form.

We are told that the slope of the line is 2/3 which means m = 2/3; therefore, the above equation becomes

Moreover, fro the point (-5, 1) we know that when x = -5, then y = 1; therefore, the above equation gives

Simplifying the above gives

adding 10/3 to both sides gives

With the value of b in hand, we write the slope-intercept of the equation:

Now, to write the above in standard form, we multiply both sides by 3. This cancels out 3 in the denominator on the right-hand side and gives

Finally, subtracting 2x from both sides gives

Just shift the position of the terms on the left-hand the side and we get

which is the standard form of our equation!

Main Answer:The correct answer would be C)0.79.  

Supporting Question and Answer:

How is the coefficient of determination related to the correlation coefficient?

The coefficient of determination measures the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect fit.

Since the coefficient of determination is the square of the correlation coefficient, squaring the correlation coefficient (r) will give us the value of r².

Body of the Solution:The coefficient of determination, denoted as R^2, is a statistical measure that represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges between 0 and 1.

The relationship between the coefficient of determination (R^2) and the correlation coefficient (r) is given by the equation:

R^2 = r^2

Given that r = 0.89, we can find the value of R^2:

R^2 = (0.89)^2

= 0.7921

So, the coefficient of determination (R^2) equals 0.7921, which is approximately 0.79.

Final Answer:Therefore,the coefficient of determination (R^2) equals 0.7921, which is approximately 0.79.

To learn more about the coefficient of determination related to the correlation coefficient from the given link

https://brainly.com/question/31601434

#SPJ4

The coefficient of determination (R^2) equals 0.7921, which is approximately 0.79.

The coefficient of determination measures the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect fit.

Since the coefficient of determination is the square of the correlation coefficient, squaring the correlation coefficient (r) will give us the value of r².

The coefficient of determination, denoted as R^2, is a statistical measure that represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges between 0 and 1.

The relationship between the coefficient of determination (R^2) and the correlation coefficient (r) is given by the equation:

R^2 = r^2

Given that r = 0.89, we can find the value of R^2:

R^2 = (0.89)^2

= 0.7921

So, the coefficient of determination (R^2) equals 0.7921, which is approximately 0.79.

Therefore, the coefficient of determination (R^2) equals 0.7921, which is approximately 0.79.

To learn more about the coefficient of determination

brainly.com/question/31601434

#SPJ4

y = (-1/2)x - 7/2 is the equation of the given point and slope.

To graph the point (3, -5) and a line with a slope of -1/2, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents a point on the line, and m represents the slope.

Plugging in the values, we have:

y - (-5) = (-1/2)(x - 3)

Simplifying:

y + 5 = (-1/2)x + 3/2

Subtracting 5 from both sides:

y = (-1/2)x + 3/2 - 5

y = (-1/2)x - 7/2

Now we have the equation y = (-1/2)x - 7/2, which represents a line with a slope of -1/2 passing through the point (3, -5).

To graph the line, plot the point (3, -5) on the coordinate plane and then use the slope to find additional points. For every 2 units you move to the right, move 1 unit down to find other points. Connect the plotted points to draw the line.

The resulting graph will show the point (3, -5) and a line with a slope of -1/2.

For more question on slope visit:

https://brainly.com/question/16949303

#SPJ8

Answer:

\(1.0 \times {10}^{4} \)

This represents 10,000 in scientific notation.

Answer:

The area of the figure is 80 ft^2.

Step-by-step explanation:

Answer:48

Step-by-step explanation:

Answer:

because y and x are equivalent and equal 15

Step-by-step explanation:

57.8

Step-by-step explanation:

To get the answer we have to find 15% of 68 and then subtract it from 68$

15% its 0.15

0.15*68=10.2

68-10.2=57.8 - its the answer

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

To know more about maximizes visit:

https://brainly.com/question/30072001

#SPJ11

Age will be 40 years old.

R, in beats per minute, can be approximated by the formulas, where a represents the person's age.

where R= 143 - 0.65a for women.... (1)

and R= 165 - 0.75a for men,..... (2)

So by implementing these two equation we get a = 40

If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.

Learn more about Age here

https://brainly.com/question/26423521

#SPJ4

Answer:

She will need to pay $320 for 24 appetizers.

Step-by-step explanation:

If there are 3 appetizers offered at around $40 and she is paying $320 for it, then she can pay up to 8 times in which she will have 24 appetizers at her wedding as a result.

Answer:

g(x) = \(2^{x}\) + 4

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 4 units up , then

g(x) = \(2^{x}\) + 4

Answer:

the answer is B g(x)=2^x+4

Step-by-step explanation:

The solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7, meaning that w equals negative six-sevenths when the equation is true.

To solve the equation -1/2w - 3/5 = 1/5w, we'll start by simplifying and rearranging the terms to isolate the variable w.

First, we'll combine like terms on the left side of the equation:

-1/2w - 3/5 = 1/5w

To make the equation easier to work with, let's get rid of the fractions by multiplying every term in the equation by the common denominator, which is 10:

10 * (-1/2w) - 10 * (3/5) = 10 * (1/5w)

This simplifies to:

-5w - 6 = 2w

Next, we'll group the w terms on one side of the equation and the constant terms on the other side:

-5w - 2w = 6

Combining like terms, we have:

-7w = 6

Now, we'll isolate the variable w by dividing both sides of the equation by -7:

(-7w)/(-7) = 6/(-7)

This simplifies to:

w = -6/7

Therefore, the solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7.

In conclusion, w is equal to -6/7 when the equation -1/2w - 3/5 = 1/5w is satisfied.

For more question on equation visit:

https://brainly.com/question/17145398

#SPJ8

Answer:

B

Step-by-step explanation:

Volume of a triangular pyramid = \(\frac{1}{3} bh\)

where b = area of base and h = height

We are already given that the height is 17in

All we need to do is find the area of the base.

The base is a triangle with a base length of 12 in and a height of 10 in

To find the area of a triangle we multiply the base length by the height then divide by 2

so area = (12 * 10 ) / 2

12 * 10 = 120

120 / 2 = 60

Hence the area of the base is 60in²

Now we plug in the values into the formula for volume of a pyramid

\(V=\frac{1}{3} 60*17\\\frac{1}{3} 60=20\\20*17=340\)

V = 340

Hence the answer is B

Answer:

a) (5,7) b) (7,9)

Step-by-step explanation:

Use the formula xmidpoint= (x1+x2)/2 ymidpoint= (y1+y2)/2

a) xm= (2+8)/2=5

ym=(5+9)/2=7

b) xm=(9+5)/2=7

   ym=(1+17)/2=9

The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

To know more about stress visit:

https://brainly.com/question/31366817

#SPJ11