(L5) Order the sides of ΔABC from shortest to largest.

Answer: Total products = 108

Step-by-step explanation: Ratio of solid to liquid products is 3:4 and there are 36 solids, so:

\(\frac{3}{4} = \frac{Pl}{36}\)

\(Pl = \frac{36.3}{4}\)

Pl = 27

Ratio of solid to gas is 4:5:

\(\frac{4}{5}=\frac{36}{Pg}\)

\(Pg=\frac{36.5}{4}\)

Pg = 45

Total products is the sum of all products:

P = Ps + Pl + Pg

P = 36 + 27 + 45

P = 108

There are a total of 108 products.

Answer:

b

Step-by-step explanation:

Answer:

B) (x + 1)2 + (y + 2)2 = 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

The proper loop condition test to quit iterating if x < 10 and y > 3 would be:

while (!(x < 10 && y > 3))

This condition will be true as long as either x is not less than 10 or y is not greater than 3. Once both conditions are met, the loop will exit.

The output of the code fragment would be:

"That is all. Goodbye"

Since the condition "x > 5" in the if statement is not true (x is equal to 5), the printf statement inside the if block will not be executed. The following printf statements outside the if block will be executed and will print the corresponding text.

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The quotient is 3x - 5 + (-5) + 12, which simplifies to 3x + 2.

To find the quotient, we need to perform polynomial long division. The dividend is 3x² - 2x + 7, and the divisor is x + 1.

 3x - 5

x + 1 | 3x² - 2x + 7

We start by dividing the highest degree term of the dividend (3x²) by the divisor (x), which gives us 3x. We then multiply the divisor (x + 1) by the quotient (3x) and subtract it from the dividend:

       3x - 5

    ____________

x + 1 | 3x² - 2x + 7

- (3x² + 3x)

____________

- 5x + 7

We continue the process by dividing the next term (-5x) of the resulting polynomial (-5x + 7) by the divisor (x + 1). This gives us -5.

            -5

    ____________

x + 1 | 3x² - 2x + 7

- (3x² + 3x)

____________

- 5x + 7

- (- 5x - 5)

____________

12

Finally, we divide the remaining term (12) by the divisor (x + 1), which gives us 12.

                  12

    ____________

x + 1 | 3x² - 2x + 7

- (3x² + 3x)

____________

- 5x + 7

- (- 5x - 5)

____________

12

- 12

____________

0

The quotient is 3x + 2 and can be written as 3x + 5 + (-5) + 12.

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Answer:

B

Step-by-step explanation:

Here, we want to get the value of m

The value of m can be obtained by multiplying the first factors of the first two polynomial, subtracting the first factor of the third and equating to 18

So what we have will be;

m * 6 - 6 = 18

6m -6 = 18

6m = 18 + 6

6m = 24

m = 24/6

m = 4

The required shape is translated 9 square(s) to the right/left and h square(s) up/down, depending on the signs of 9 and h.

The translation by the vector (9) h moves a shape g squares to the right and h squares up. This means that the shape is translated g squares to the right if 9 is positive, or g squares to the left if 9 is negative. Similarly, the shape is translated h squares up if h is positive, or h squares down if h is negative. So, the complete description of the translation is:

The shape is translated 9 square(s) to the right/left and h square(s) up/down, depending on the signs of 9 and h.

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Answer:

x = 3

Step-by-step explanation:

-9 + 3(-5x + 7) = -33

-9 - 15x + 21 = -33

- 15x + 12 = -33

         -12 = -12

-15x = -45

/-15    /-15

x = 3

Answer:

x = 3

Step-by-step explanation:

-9+3(-5x+7)=-33

-9-15x+21=-33

12-15x=-33

-15x=-45

x= 3

Answer:

\((1,\, 10)\).

Step-by-step explanation:

Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to \(x\). Make use of the power rule to find the following:

\(g^\prime(x) = 3\, x^2 - 2\, a\, x\).

\(h^\prime(x) = 2\, (2\, x) + b = 4\, x + b\).

The question states that the graphs of \(g(x)\) and \(h(x)\) touch at \(x = 1\), such that \(g^\prime(1) = h^\prime(1)\). Therefore:

\(3 - 2\, a = 4 + b\).

On the other hand, since the graph of \(g(x)\) and \(h(x)\) coincide at \(x = 1\), \(g(1) = h(1)\) (otherwise, the two graphs would not even touch at that point.) Therefore:

\(1 - a + 6 = 2 + b + 3\).

Solve this system of two equations for \(a\) and \(b\):

\(\begin{aligned}& a + b = 2 \\ & 2\, a + b = -1\end{aligned}\).

Therefore, \(a = -3\) whereas \(b = 5\).

Substitute these two values back into the expression for \(g(x)\) and \(h(x)\):

\(g(x) = x^3 + 3\, x^2 + 6\).

\(h(x) = 2\, x^2 + 5\, x + 3\).

Evaluate either expression at \(x = 1\) to find the \(y\)-coordinate of the intersection. For example, \(g(1) = 1 + 3 + 6 = 10\). Similarly, \(h(1) = 2 + 5 + 3 = 10\).

Therefore, the intersection of these two graphs would be at \((1,\, 10)\).

The equation of the tangent to the curve without eliminating the parameter is \(y - cos^2(1/2) = -2sin(1/2) \times cos(1/2)(x - sin(1/2)).\)

The equations of the tangents to the curve by first eliminating the parameter is \(y - cos^2(1/2) = -1 / (2sin(1/2))(x - sin(1/2))\).

To find the equation of the tangent to the curve without eliminating the parameter, we need to find the derivative of both x and y with respect to t.

Given x = sin(t) and y = cos^2(t), we can find the derivatives as follows:

dx/dt = cos(t)
dy/dt = -2sin(t) * cos(t)

Now, we need to find the values of t for which the tangent is desired. Let's substitute the values t = 2 and t = 1/2 into the derivatives:

When t = 2:
dx/dt = cos(2)
\(dy/dt = -2sin(2) \times cos(2)\)

When t = 1/2:
dx/dt = cos(1/2)
\(dy/dt = -2sin(1/2) \times cos(1/2)\)
Now, we have the slopes of the tangents at the given points. Let's use the point-slope form of a line to find the equations of the tangents.

For t = 2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(2),cos^2(2))\)

Substituting the values, we get:
\(y - cos^2(2) = -2sin(2) \times cos(2)(x - sin(2))\)

For t = 1/2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(1/2), cos^2(1/2))\)

Substituting the values, we get:
\(y - cos^2(1/2) = -2sin(1/2) \times cos(1/2)(x - sin(1/2))\)
This is the equation of the tangent to the curve without eliminating the parameter.

To find the equation of the tangent by eliminating the parameter, we can solve the given equations to express x in terms of y and then find the derivative of x with respect to y.

From the equation x = sin(t), we can express t in terms of x as t = arcsin(x).

Now, substitute this value of t into the equation y = cos^2(t):
\(y = cos^2(arcsin(x))\)
To eliminate the parameter, we need to find the derivative of x with respect to y:
dx/dy = dx/dt * dt/dy

We already found dx/dt as cos(t), and dt/dy can be found by taking the reciprocal of dy/dt.
So, \(dt/dy = 1 / (dy/dt) = 1 / (-2sin(t) \times cos(t))\)

Substituting the values, we get:
dx/dy = cos(t) / (-2sin(t) * cos(t))

Simplifying further, we get:
dx/dy = -1/(2sin(t))

Now, substitute the values t = 2 and t = 1/2 into the derivative:

When t = 2:
dx/dy = -1/(2sin(2))

When t = 1/2:
dx/dy = -1/(2sin(1/2))

Now, we have the slopes of the tangents at the given points. Let's use the point-slope form of a line to find the equations of the tangents.

For t = 2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(2), cos^2(2))\)

Substituting the values, we get:
\(y - cos^2(2) = -1 / (2sin(2))(x - sin(2))\)

For t = 1/2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(1/2), cos^2(1/2))\)

Substituting the values, we get:
\(y - cos^2(1/2) = -1 / (2sin(1/2))(x - sin(1/2))\)

These are the equations of the tangents to the curve by first eliminating the parameter.

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Answer:

If you have put the bracket/parenthesis correct, then

4 - {-8}/8 + 5

=> 4 - (-1) + 5

=> 4 + 1 + 5

=> 5 + 5

=> 10

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Answer:

No, a triangle cannot be created with these measurement.

Step-by-step explanation:

It must follow these rules:

a + b > c

b + c > a

a + c > b

Answer: -2 is correct answer

Step-by-step explanation:

-8-(-6)

-8+6

-2

Explanation

Step 1

let x represents the number so

a) 2/9 of a number is 8

so, the numer is 36

Step 2

b) 3/11 of a number is 12​

so, the number is 44

Set of ordered pairs does not represent a function i

= {(2, 2), (0, -8), (2, 7), (-3, 8)}

A function relates an input to an output.  A function is generally denoted by f(x) where x is the input.

What is a set?

Any collection of objects , which are mathematical or not

Ordered pair are a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

From question given data is

{(4, 6), (9, -2), (3, -5), (6, 6)}

{(−1,−2),(−4,9),(8,−9),(1,2)}

{(-1, 9), (-7, 8), (3, -1), (4, -1)}

{(2, 2), (0, -8), (2, 7), (-3, 8)}

From the above options we can see that last option has same number in the x axis coordinate. Thus it does not represents a function.

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ANSWER and EXPLANATION

The population of lions is modeled by the equation:

where t = number of years since 2005.

(a) To find the number of lions there in 2005, we have to find P when t is 0:

There were 1500 lions.

(b) The given function is an exponential function. The exponential factor in the function is 0.98.

In an exponential function, when the exponential factor is less than 1, it means that the function is a decay, hence, it is a decreasing function.

Hence, the population of lions was decreasing over the decade.

(c) Since 2015 is 10 years after 2005, to find the population of lions in 2015, we have to find P when t is equal to 10.

That is:

That is the answer.

The denominator is always positive (9t^3), the curve is concave upward for all t ≠ 0.

To find dy/dx and d^2y/dx^2 for the parametric equations x = t^3 + 1 and y = t^2 - t, and determine for which values of t the curve is concave upward, follow these steps:

. Differentiate x and y with respect to t:
dx/dt = 3t^2 (from x = t^3 + 1)
dy/dt = 2t - 1 (from y = t^2 - t)

. Find dy/dx by dividing dy/dt by dx/dt:
dy/dx = (2t - 1) / (3t^2)

. Find the second derivative, d^2y/dx^2, by differentiating dy/dx with respect to t and then dividing by dx/dt:
d(dy/dx)/dt = (2 - 0) / (6t) = 2 / (6t) = 1 / (3t)
d^2y/dx^2 = (d(dy/dx)/dt) / (dx/dt) = (1 / (3t)) / (3t^2) = 1 / (9t^3)

. To find where the curve is concave upward, determine the values of t for which d^2y/dx^2 > 0:
1 / (9t^3) > 0

Since the denominator is always positive (9t^3), the curve is concave upward for all t ≠ 0.
So, the content loaded Find dy/dx and d^2y/dx^2 are dy/dx = (2t - 1) / (3t^2) and d^2y/dx^2 = 1 / (9t^3), respectively. For which values of t is the curve concave upward? The curve is concave upward for all t ≠ 0.

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Answer:

ejekkeifjejejrjjdjejejeiriririrj

Answer:

Illogical

Step-by-step explanation:

Your question is completely illgocal unless you state the number of cheery tomatoes used in 1 or x amounts of large and small salads

Answer:

84

Step-by-step explanation:

We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes.

60x + 42y

60x +42y

60x +42y

The distributive property of 6(10x + 7y) is 60x + 42y

Distributive property tells us the order of operations to be followed by us while doing mathematical operations. the order of operations laid by distributive property is given below in chronological order:

1. Solve the brackets.

2.Orders(Exponents and square roots)

3. Division

4. Multiplication.

5.Addition

6. Subtraction

Now using Distributive property on 6(10x+7y)

1. Solve the brackets:

We can't do anything with the part inside the bracket as it contains all unknown values.

Hence, it will be as it is.

6 × 10x + 6 × 7y

2. Orders:

Whenever the index of any term is not shown, it is 1.

If any number is not multiplied by itself, it can be raised to 1.

3. Division:

The given polynomial doesn't have division with a non one number.

4. Multiplication:

6 × 10x + 7 × 7y

60x+42y

5. Addition:

Indefinite values can't be added

60x+42y

6. Subtraction:

No sign of subtraction is seen

Hence ,the distributive property of 6(10x + 7y) is 60x + 42y

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the expected return percentage is approximately 8.04%. , which is not among the provided answer options.

To calculate the expected return percentage, Expected return percentage = (Residual Income / Average Operating Assets) × 100

Plugging in the given values:

Expected return percentage = (58,250 / 5,675,000) × 100 ≈ 1.026% The expected return percentage is typically calculated by dividing the residual income by the average operating assets and expressing it as a percentage.

Now, to calculate the expected return percentage, we divide the required return by the average operating assets:

Expected Return Percentage = (Required Return on Average Operating Assets) / Average Operating Assets

Expected Return Percentage = $456,750 / $5,675,000

Calculating this division, we get:

Expected Return Percentage ≈ 0.0804

Converting this to a percentage, we find that the expected return percentage is approximately 8.04%.

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Answer:

We can simplify the expression as follows: 1/3 * (6x + 15) - 3 = - 2x - 5

Therefore, the answer is: D. - 2x - 8

It may be necessary to use statistical methods to adjust for the missing data or to conduct additional analyses to assess the potential impact on the study findings.

Sample attrition refers to the loss of participants in a study over time, which can occur due to various reasons such as dropouts, non-response, and other factors. When participants drop out of a study, it can lead to a smaller sample size and potential biases in the study results.

Option D ("number of patients who drop out of a study") is the correct answer. Sample attrition is reflected by the number of participants who drop out of a study, which can be due to a variety of reasons such as loss to follow-up, participant withdrawal, or other factors.

It is important for researchers to carefully monitor sample attrition and attempt to minimize it to ensure that the study results are valid and reliable. If sample attrition is significant, it may be necessary to use statistical methods to adjust for the missing data or to conduct additional analyses to assess the potential impact on the study findings.

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Answer:

4 units

Step-by-step explanation:

The length of the shorter side is equal to the difference in y-coordinates of two vertically opposite vertices. The y-coordinates of the vertices (-1, -5) and (3, -5) are both -5, so the vertical side between them is not the shorter side. The y-coordinates of the vertices (3, -7) and (-1, -7) are both -7, so the vertical side between them is the shorter side. The difference in the x-coordinates of these two vertices is 3 - (-1) = 4, so the length of the shorter side is 4 units.

Answer: Your answer is 2

Step-by-step explanation: I did the k12 quiz here's proof

Answer:

1. A

2. C

Step-by-step explanation:

1. A

2. C

(a) Using the properties of exponents, we can simplify the expression (52)(53) as 5(2+3), which equals 5^5.

(b) Simplifying the expression (52)(5−3) using the properties of exponents, we have 5^2(5^(-3)). This can be further simplified to 5^(2+(-3)), which equals 5^(-1).

In mathematics, the properties of exponents allow us to simplify expressions involving numbers raised to powers. In the first step, for the expression (52)(53), we use the property that when we multiply two numbers with the same base, we add their exponents. So, we add the exponents 2 and 3, resulting in 5^5 as the simplified form.

Moving to the second step, for the expression (52)(5−3), we again apply the property that multiplying two numbers with the same base involves adding their exponents. Firstly, we evaluate 5−3, which gives us 2. Then, we have 5^2. However, the negative exponent in the second part, 5^(-3), indicates that we need to take the reciprocal of 5^3. So, 5^(-3) is equal to 1/(5^3). Finally, we multiply 5^2 with 1/(5^3), which simplifies to 5^(2+(-3)). This simplifies further to 5^(-1).

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Answer:

7x + 3y = 3

7x + 3y = 3

7x + 3y = 3

The graph at the end of the response provides the dilated figure, which has the same format as the original figure but reduced side lengths as a result of the dilation with a scale factor of less than 1.

To make an opening or hollow structure wider or larger than usual, such as a blood vessel or the pupil of an eye.

The process of dilation entails growing an object's size without changing its shape.

The size of the object may rise or decrease depending on the scale factor.

Using dilation maths, a square with a side of 5 units can be made wider to have a side of 15 units, yet the square retains its original shape.

So, the coordinates of each vertex of the figure are multiplied by the scale factors to create a dilatation in the image.

The vertices for the original figure that was graphed are listed as follows:

I(0,6).

H(3,6).

G(9,0).

F(-6,-9).

E(-6,-6).

The coordinates of the resulting image are presented as follows since the dilation has a scale factor of 1/3, which means that the coordinates are multiplied by 1/3:

I'(0,2).

H'(1,2).

G'(3,0).

F'(-2,-3).

E'(-2,-2).

Therefore, the graph at the end of the response provides the dilated figure, which has the same format as the original figure but reduced side lengths as a result of the dilation with a scale factor of less than 1.

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Correct question:

The figure below is dilated by a factor of centered at the origin. Plot the resulting image. -109 -11 E Click twice to plot a segment. Click a segment to delete it. 4 -5 7 F A -9 10 9 B 4 I d 3 P BI 1 9 H 3 4 6 6 M​