The effect of pH on the action of a certain enzyme
is shown on the accompanying graph.
Rate of Enzyme Action
0 1 2 3 4 5 6 7 8 9 10 11 12 13
pH
What is the domain of this function?
1) 4 2) 4sys 13
3) 20
4 y20

(a) \(2 + (2 - 3/r) sin\theta cos\phi = 0\), the equation in spherical coordinates.

(b) 3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r, the equation in spherical coordinates.

(a) To write the equation \(2x^2 - 3x + 2y^2 + 2z^2 = 0\)in spherical coordinates, we need to express x, y, and z in terms of spherical coordinates. We have

x = r sinθ cosφ

y = r sinθ sinφ

z = r cosθ

Substituting these expressions into the given equation, we get

\(2(r sin\theta cos\phi)^2 - 3(r sin\theta cos\phi) + 2(r sin\theta sin\phi)^2 + 2(r cos\theta)^2 = 0\)

Simplifying, we get

\(2r^2(sin^2\theta cos^2\phi + sin^2\theta sin^2\phi) + 2r^2 cos^2\theta - 3r sin\theta cos\phi = 0\)

Using the identity \(sin^2\theta + cos^2\theta = 1\), we can simplify this equation further to get

\(2r^2 + (2r^2 - 3r) sin\theta cos\phi = 0\)

Dividing both sides by \(r^2\) and rearranging, we get

\(2 + (2 - 3/r) sin\theta cos\phi = 0\)

This is the equation in spherical coordinates.

(b) To write the equation 3x + 4y + 2z = 1 in spherical coordinates, we again need to express x, y, and z in terms of spherical coordinates. Substituting these expressions into the given equation, we get

3(r sinθ cosφ) + 4(r sinθ sinφ) + 2(r cosθ) = 1

Simplifying, we get

r(3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ) = 1

Dividing both sides by r and rearranging, we get

3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r

This is the equation in spherical coordinates.

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The real roots of the polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12 are -1 and -3.

To find the real roots of the polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12, we can use the Rational Root Theorem.

In this case, the constant term is 12 and the leading coefficient is 1. Therefore, the possible rational roots are ±1, ±2, ±3, ±4, ±6, ±12.

We can use synthetic division to check if any of these are roots of the polynomial. Trying each of the possible roots, we find that -1 and -3 are roots of the polynomial. Using synthetic division with these roots, we get:

(x+1) | 1  3  5  15  4  12
    |   -1  -2  -3 -12 -16
    |-------------------
     1  2  3  12 -8  -4

and

(x+3) | 1  3  5  15  4  12
    |    3  18  69 252 768
    |-------------------
     1  6  23  84 256 780

Therefore, the real roots of the polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12 are -1 and -3.

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If the coefficient of determination is 0.94, we can say that ninety-four percent of the total variation of the dependent variable is explained by the independent variable. The correct answer is: ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

This means that there is a strong positive relationship between the two variables. The coefficient of determination, represented as R², measures the proportion of the total variation in the dependent variable that is explained by the independent variable. In this case, an R² of 0.94 indicates that 94% of the total variation in the dependent variable can be explained by the independent variable. The coefficient of determination does not provide information about the direction or strength of the relationship. The correct answer therefore is ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

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I think the answer is b

I think the answer is b

I think the answer is b

I think the answer is b

The Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

What is pyramid ?

 A three-dimensional shape is a pyramid. Flat triangular sides that are joined at a common point known as the apex define the polygonal base of a pyramid. By fusing the bases together at the peak, a pyramid is created. The lateral face, a triangular feature formed by the connection of each base edge to the apex, is present.

Here slant height l = 16cm and sides of the rectangular base is ,

length l = 15cm and width w = 9 cm.

Side length = 9/2 = 4.5cm

Using Pythagorean theorem ,

=> Height h =  \(\sqrt{16^2-4.5^2}\)

=> height h = 15.35 cm

Now volume of pyramid is ,

=> V = 1/3 * Base area * height cubic unit

=> V = 1/3 *15*9*15.35

=> V = 690.75 \(cm^3\)

Hence the Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

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Using the l'hospital's rules, the limit of lim x → (⁄2) cos(x) 1 − sin(x) does not exist.

To evaluate the limit, we can try to plug in the value of x=π/2 into the expression. However, we get an indeterminate form of the type 0/0. So, we can use the L'Hopital's rule to evaluate the limit.

lim x → (π/2) cos(x) / (1 − sin(x))

Differentiating the numerator and the denominator with respect to x, we get:

lim x → (π/2) -sin(x) / cos(x)

Substituting x = π/2 to the limit function, we get:

lim x → (π/2) -sin(π/2) / cos(π/2) = -1/0 (which is undefined)

So, the limit does not exist.

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Answer: No. Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days.

Step-by-step explanation:

On Friday, there were 25 lacrosse sticks sold, 10 of which were defense sticks. The ratio of defense sticks to lacrosse will be:

= 10/25 = 2/5 = 2:5

On Saturday, there were 50 lacrosse sticks sold, 15 of which were defense stick. The ratio of defense sticks to lacrosse will be:

= 15/50 = 3/10 = 3:10

Based on the calculation above, Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days

What would a social psychologist call the story? The story is called a prime. A prime is what social psychologists would call the story that participants read right before the task of rating the danger of the object they were shown. A prime is something that influences the response of the main option in the experiment.

A prime, in this case, refers to the story that participants read before rating the danger of the object they saw. The study aims to analyze whether the story has an effect on how participants rated the danger of the objects that they saw.

The term social psychology refers to the scientific study of how people are affected by their social interactions, including how they think, feel, and behave in response to the social world around them.

The prime, in this case, refers to the story that participants read before rating the danger of the object they saw. A prime is an external stimulus that influences the response of the main answer in the experiment.

In this case, the story serves as a prime that potentially affects how the participants perceive the object as dangerous or harmless. The story serves as a prime that shapes the participant's rating of the object they saw.

The story, in this case, serves as an independent variable since it's the one being changed and tested to see if it affects the rating of the object's danger. The dependent variable, in this case, is the rating of the object's danger, since it is being influenced by the prime. The story primes have a direct effect on how participants rate the danger of the objects they are shown.

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The 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

Let the random variable & parameters be;

x1 : Number of successes from group 1

x2 : Number of successes from group 2

p1: Proportion of successes in group 1

p2: Proportion of successes in group 2

n1 : number of trial in group 1

n2: number of trial in group 2

We are given;

x1 = 260

n1 =985

x2 = 194

n2 = 842

Thus;

p1 = 260/985

p1 =0.2640

p2 = 194/842

p2 = 0.2304

Constructing a (1 - α)100% confidence interval for proportion from the formula;

(p₁ - p₂) - z√[((p₁(1 - p₁)/n₁) + p₂(1 - p₂)/n₂)]

plugging in z = 2.576 and the values of p₁, p₂, n₁ and n₂, we have the confidence interval as;

(-0.0184631, 0.0855743)

Therefore the 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

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Answer:

2x + 15

Step-by-step explanation:

Twice of a number is just the number times 2; so, if x is a number, then twice x is 2x. The sum of 15 and a number is just the number plus 15; so, the final expression will be 2x + 15.

Hope this helps :)

Answer:

is there an image or something to look at? we need one to give the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2x-4 is the slope

Step-by-step explanation:

the -4 is the y number. slope is rise/run so it goes up 2 over 1 making it 2x

Answer: 401 you can use a caculater

Answer:

11,629 divided by 29 = 401

Step-by-step explanation:

Essentially, the way I process division is I think of it as seeing how many times we can subtract. For this problem we would first see how many times 29 goes into 116, it goes in 4 times. We would then put the four above the problem, next we bring the two down. 29 goes into 2 no times so next we put a 0 next to the four. Afterwords, we would bring the 9 down next to the 2 and see how many times 29 goes into 29, that is 1 time. We put the 1 above next to the 4 and the 0 thus making 401. You can then check your work by multiplying your answer by the number you are dividing by.

401 times 29 = 11629 so you know you got your answer correct.

Good luck!

The sum of the algebraic expressions (–2.1x + 3.7) and (5 + 4.9x) as required in the task content is; Choice C; 2.8x + 8.7.

It follows from the task content that the sum of the algebraic expression given is to be determined.

Therefore, we have;

(–2.1x + 3.7) + (5 + 4.9x)

= -2.1x + 4.9x + 3.7 + 5

= 2.8x + 8.7.

Ultimately, the sum of the given algebraic expressions is; 2.8x + 8.7.

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Answer:

ITS C

Step-by-step explanation:I JUST TOOK THE TEST AND GOT A 100

sorry caps

Answer:

k=16

Step-by-step explanation:

So the tangent line is

\(4x + k\)

and it tangent to function

\( {x}^{2} + 8x + 20\)

Since the slope of the tangent line is 4, this means the derivative of f(x) is 4 but first let find the derivative of

\( {x}^{2} + 8x + 20\)

Use the Sum Rule,

\( \frac{d}{dx} {x}^{2} + \frac{d}{dx} 8x + \frac{d}{dx} 20\)

Use the Power Rule and we get

\(2x + 8\)

Set this equal to 4

\(2x + 8 = 4\)

\(2x = - 4\)

\(x = - 2\)

So at x=-2, the slope of the tangent line is 4.

Plug -2 in the orginal function, and we get

\( { - 2}^{2} + 8( - 2) + 20 = 8\)

So the point must pass through -2,8 with a slope of 4.

\(y - 8 = 4(x + 2)\)

\(y - 8 = 4x + 8\)

\(y = 4x + 16\)

So the value of k is 16.

Answer:

a = 5

Step-by-step explanation:

let's label the triangle as a, b and c

where b is the hypotenuse and c is the adjacent of the hypotenuse a to be the height.

from the formula

a² + c² = b²

we substitute the values to find a

so,

a² + 12² = 13²

but we don't know "a" so we make it stand alone by grouping liked terms.

a² = 13² - 12²

a² = 25

we need "a" not "a²" so we take the square root of both sides to get rid of "a²" leaving "a"

\( \sqrt{ {a}^{2} } = \sqrt{25} \)

and the answer will be

a = 5

These values are based on the t-distribution table and represent critical values for the given probabilities and degrees of freedom.

To answer this question, we need to use a t-table. The values we are looking for are the t-values associated with specific probabilities and degrees of freedom.

(a) t0.10, 10 = 1.372 (from the t-table, using 10 degrees of freedom and the probability of 0.10)

(b) t0.05, 10 = 1.812 (from the t-table, using 10 degrees of freedom and the probability of 0.05)

(c) t0.05, 21 = 1.721 (from the t-table, using 21 degrees of freedom and the probability of 0.05)

(d) t0.05, 60 = 1.671 (from the t-table, using 60 degrees of freedom and the probability of 0.05)

(e) t0.005, 60 = 2.660 (from the t-table, using 60 degrees of freedom and the probability of 0.005)

Note that we round all answers to three decimal places, as specified in the question. The values we have found are the t-values for the specified probabilities and degrees of freedom. These values can be used in calculations involving t-distributions.

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Answer:

B

Step-by-step explanation:B

Answer:

the answer to this question is B

Reciprocal is defined as the inverse of a value or a number.

What is meant by reciprocal?

The reciprocal of any number in mathematics is one divided by that number.

If x is a real number, then \(\frac{1}{x}\) will be x's reciprocal. Hence, we must change the number to its upside-down form.

For instance, 1 divided by 4 is the reciprocal of 4. The result of multiplying a number by its reciprocal now equals one. Inverse multiplicative is another name for it.

The multiplicative inverse is another name for it. It can also be discovered by switching the numerator and denominator. A number's reciprocal and its product are equal to one.

Except for zero, every integer has a reciprocal.

Hence, reciprocal is defined as the inverse of a value or a number.

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Answer:

3

Step-by-step explanation:

The equation of a perpendicular line to m = - \(\frac{x}{3}\) must have a slope that is the negative reciprocal of the original slope.

m perpendicular = - \(\frac{1}{\frac{-1}{3} }\)

Simplify the result.

m perpendicular = 3

The answer is:

3

Work/explanation:

If two lines are perpendicular to each other, their slopes will be negative inverses.

The slope of the given line is \(\sf{-\dfrac{1}{3}}\).

The negative inverse of that is 3; so I changed the sign from negative to positive, and flipped the number.

Answer:

8

Step-by-step explanation:

1/2x+2=3/2x-6

3/2x-1/2x-6=2

2/2x-6=2

x-6=2

x=2+6

x=8

Answer:

x=8

Step-by-step explanation:

I would love to show you the steps, but honestly, I dont want to give 20 complicated steps. I'll give you the steps, if you really need them though.

Answer: 1200 units cubed

Step-by-step explanation:

Formula = H * W * L

8 * 15 * 10 = 8 * 150 = 1200

Answer:600 units squared :))

Step-by-step explanation:

Answer:

Please check the formatting of the question.

Step-by-step explanation:

As written, I see:

4x4 - 50

That would mean 16 - 50, which is equal to -34.  That does not appear in the answer choices.

1) 3,500 rounded to the nearest ten thousand is 0.

2) 462,183.5062749 rounded to the nearest tenth is 462,183.5.

3) 6 + (-3) - 5 is equal to -2.

QUESTION 1:The given number is 3,500. To round it to the nearest ten thousand, we need to see which ten thousand is closest to the number. In this case, 3,500 is between 0 and 10,000. Since 0 is closer, we round down to 0. So, 3,500 rounded to the nearest ten thousand is 0.

QUESTION 2: To round the given number, 462,183.5062749, to the nearest tenth, we need to look at the digit in the hundredths place (the second digit after the decimal point), which is 0. Since 0 is less than 5, we round down the digit in the tenths place to 3.

Therefore, 462,183.5062749 rounded to the nearest tenth is 462,183.5.

QUESTION 3:We have to evaluate 8 to the 8th power. That means we have to multiply 8 by itself 8 times. Using a calculator, we can find that 8^8 is equal to 16,777,216.

QUESTION 4:When solving the expression 6 + (-3) - 5, we should follow the order of operations, which is: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Since there are no parentheses or exponents in this expression, we can simply perform addition and subtraction from left to right.

6 + (-3) = 3, then 3 - 5 = -2.

Therefore, 6 + (-3) - 5 is equal to -2.

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Answer:

a. 125 * 0.04 * 625 = 5 * 625 = 3125

b. a^2 * x^3

c. x^10 * x^ y^15

Last one: x^9 * y^4

Step-by-step explanation:

Because yes.

Answer: 1

Step-by-step explanation:

6--4=10

10/2=5

so B is 5 away from A and C

C=6

6-5=1

A=-4

-4+5=1

Therefore the answer is 1

Answer:

y = -3/4x + 1

Step-by-step explanation:

Answer:it depends on how many sides their are

Step-by-step explanation:

just factual

Step-by-step explanation:

6x - 8 = 4x

6x- 4x = 8

2x = 8

x = 8/2

x = 4

\(...\)

Answer:    x=4

Step-by-step explanation:

6x-8=4x   subtract 4x from both sides

-4x   -4x

2x-8=0     isolate x by adding 8 on both sides

+8    +8

2x=8     divide by 2 on both sides

/2    /2

x=4