A manufacturer makes sneakers in six colors, available in four styles, with three choices of
fabrics. how many unique types of sneakers does the manufacturer make?

Answer:

15

Step-by-step explanation:

9/v=27/45 Cross multiply

405=27v Divide by 27 on both sides

15=v

Answer:

1

Step-by-step explanation:

If a term does not have a written coefficient, then the coefficient is one.

This is because 1(y) = y

Answer:

1

Step-by-step explanation:

there is an "understood" 1 as the coefficient of any blank variable

but it is useless to write since anything times 1 is just the same number ..... (i.e: y *1= y...same as 5 * 1= 5)

The domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

The graph represents the given parameters

On the graph, we have the following endpoints

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

The domain

The definition of the domain implies that the domain of a function is the set of x values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the maximum

Closed circle at (-2, -1)

Open circle at (-5, -2)

Remove the y coordinates

So, we have

Closed circle at (-2)

Open circle at (-5)

Combine the x values

-2 ≤ x < -5

The range

The definition of the range implies that the range of a function is the set of y values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the smaller larger y value of the endpoints)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the x coordinates

So, we have

Open circle at (-2)

Maximum = (1)

Combine the y values

-2 < y < 1

Hence, the domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

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Answer:

Im going to do this on paper so you can copy it down, do you have go ogle docs or padlet?

Step-by-step explanation:

Answer:

1) yes  2) no  3) yes

Step-by-step explanation:

The lengths of the two shorter sides must be greater than the length of the longest side.

1) 8 + 9 > 10    yes

2) 1 + 1 = 2      no

3)  6 + 8 > 9    yes

The lengths which can be side of triangle are:

Apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. 8, 9, 10:

The sum of the lengths of the two smaller sides is 8 + 9 = 17 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

2. 1, 1, 2:

The sum of the lengths of the two smaller sides is 1 + 1 = 2.

No, 2 is equal to the length of the longest side.

So these numbers cannot be the lengths of the sides of a triangle.

3. 6, 9, 8:

The sum of the lengths of the two smaller sides is 6 + 8 = 14 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

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Answer:

the answer would be 211

Step-by-step explanation:

you simply add the length and width together to find perimeter. since you have the total perimeter and the length you would instead subtract the two.

292-81= 211

Answer:

68m

Step-by-step explanation:

The perimeter  of a rectangle with length  and width  is given by the following.

P=21+2w

We need to find w when P=292 m  and l+78m .

Using these values in the equation above, we'll solve for w.

P=21+2w

292=2(78)+2w

292=156+2w

136=2w

68=w

Subtracting 156  from both sides

Dividing both sides by  2

So the width of the parking lot is 68m

1)The pdf of U is f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

2)U follows a gamma-distribution with parameter a = 3/2 or a = 1/2.

3)x = (y²/2) and dx = y dy using exponential distribution

We can rewrite the integral as:

I(1/2) = ∫₀^∞ y exp(-y²) dy

       = 1/2 ∫₀^∞ exp(-u/2) du

This is the same as the integral for f(u) when u = 1/2.

Therefore, we have:

I(1/2) = V1

(1) For U = Z², we can use the method of transformations.

Let g(z) be the transformation function such that

U = g(Z)

   = Z².

Then, the inverse function of g is given by h(u) = ±√u.

Thus, we can apply the transformation theorem as follows:

f(u) = |h'(u)| g(h(u)) f(u)

     = |1/(2√u)| exp(-u/2) for u > 0 f(u) = 0 otherwise

Therefore, the pdf of U is given by:

f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

(2) We are given that f(1/2) = VT, where V is a constant.

We can substitute u = 1/2 in the pdf of U and equate it to VT.

Then, we get:VT = (1/(2√(1/2))) exp(-1/4)VT

                            = √2 exp(-1/4)

This gives us the value of V.

Now, we can use the pdf of the gamma distribution to find the parameter a such that the gamma distribution matches the pdf of U.

The pdf of the gamma distribution is given by:

f(u) = (u^(a-1) exp(-u)/Γ(a)) for u > 0 where Γ(a) is the gamma function.

We can use the following relation between the gamma and the factorial function to simplify the expression for the gamma function:

Γ(a) = (a-1)!

Thus, we can rewrite the pdf of the gamma distribution as:

f(u) = (u^(a-1) exp(-u)/(a-1)!) for u > 0

We can now equate the pdf of U to the pdf of the gamma distribution and solve for a.

Then, we get:

(1/(2√u)) exp(-u/2) = (u^(a-1) exp(-u)/(a-1)!) for u > 0 a = 3/2

Therefore, U follows a gamma distribution with parameter

a = 3/2 or equivalently,

a = 1/2.

(3) We need to show that I(1/2) = V1.

Here, I(1) = ∫₀^∞ exp(-x) dx is the integral of the exponential distribution with rate parameter 1 and V is a constant.

We can use the change of variables y = √(2x) to simplify the expression for I(1/2) as follows:

I(1/2) = ∫₀^∞ exp(-√(2x)) dx

Now, we can substitute y²/2 = x to obtain:

x = (y²/2) and

dx = y dy

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Answer:

140 db

Step-by-step explanation:

I have succesfully finished tihs

The value is closest to the sound level of the vocalizations of a blue whale is 140dB.

We have given that,

Intensity(I)= 106.8 watts/meter^2

The intensity of sound hair by the human ear is,

\(I_0=1\times10^{-12}\)

Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.

We have to find which value is closest to the sound level, in decibels, of the vocalizations of a blue whale

So we have given the formula

\(B=10 log(\frac{I}{I_0} )\)

So use the given value we get

\(B=10 log(\frac{106.8}{1\times 10^{-12}} )\)

B= 140.28 dB≈140 dB

Therefore the value is closest to the sound level of the vocalizations of a blue whale is 140dB.

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The number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.

In this question,

Positive integers are 0,1,2,3,4,5,6,7,8,9

Total number of integers = 10

This can be solved by permutation concepts.

Case 1: 4-digit positive integers with no repeated digits,

First digit, cannot be zero. So remaining 9 digits.

Second digit, can be any digit other than the first digit. So 9 digits.

Third digit, can be any digits other than first and second. So 8 digits.

Fourth digit, can be any digits other than first, second, third digit. So 7 digits.

Thus, Number of ways of 4-digit positive integers with no repeated digits ⇒ (9)(9)(8)(7)

⇒ 4536 ways.

Case 2:  4-digit positive integers, there may be repeated digits, but all digits are odd

Odd integers are 1,3,5,7,9

Number of digits = 5

In this case, we can repeat the digits. So all places can have 5 possibilities.

Thus number of ways of 4-digit positive integers with repeated digits, but all digits are odd = (5)(5)(5)(5)

⇒ 625 ways.

Hence we can conclude that the number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.

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The x-intercepts of a quadratic function are the points where the function graph intersects the x-axis. To find the x-intercepts of the given quadratic function, we need to determine the values of x when the y-value (or the function value) is equal to 0.

From the given information, we can see that the quadratic function passes through the points (-2, 0) and (1, 0), which indicates that the function intersects the x-axis at x = -2 and x = 1. Therefore, the quadratic function x-intercepts are (-2, 0) and (1, 0).

The correct answers are (d) (-2, 0) and (1, 0).

Explanation

The question wants us to determine the domain of the function graphed

The domain of a function is the set of all possible inputs for the function

From the graph, we can observe that the x-values span from negative infinity to positive infinity

Thus

Thus

The domain is All Real Numbers

Answer:

4

Step-by-step explanation:

m = 4

Answer:

1.2

Step-by-step explanation:

0.2+0.4+0.6=1.2

:)

Answer:

Step-by-step explanation:

I'm pretty

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

(1/3) - (1/3) = 1/3 - 1/3 = 0

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

(1/3) - (1/-3) = 1/3 + 1/3 = 2/3

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

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Answer:

C

Step-by-step explanation:

Given the 2 equations

y = \(\frac{1}{3}\) x + 2 → (1)

- x + 3y = 6 → (2)

Substitute y = \(\frac{1}{3}\) x + 2 into (2)

- x + 3(\(\frac{1}{3}\) x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

The given system of equations has infinitely many solutions.

We have the following system of equations -

y = 1/3x + 2

–x + 3y = 6

We have -

- x + 3y = 6

x = 3y - 6

Then -

y = 1/3(3y - 6) + 2

y = y - 2 + 2

y = y

Therefore, the given system of equations has infinitely many solutions.

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Answer:

\(x = 0.68\)

Step-by-step explanation:

We would like to find out the value of x using logarithms of the given equation .The equation is ,

\(\longrightarrow 25^x - 3(5^x)=0\\\)

Add \(3(5^x)\) on both sides,

\(\longrightarrow 25^x = 3(5^x) \)

Using log to the base 10 on both sides, we have;

\(\longrightarrow log_{10}(25^x) = log_{10}\{3(5^x)\}\)

Recall that \( log(ab ) = log\ a + log\ b \) .

\(\longrightarrow log_{10}(25^x)=log_{10}3 + log_{10}5^x \)

Recall the properties of logarithm as \( log\ a^b = b\ log\ a \) .

\(\longrightarrow xlog25 = log_{10}3 + xlog_{10}5 \)

Again we can rewrite it as ,

\(\longrightarrow xlog(5^2)=log_{10}3+xlog_{10}5\\ \)

\(\longrightarrow 2x\ log_{10}5 = log_{10}3+xlog_{10}5 \\ \)

\(\longrightarrow 2x\ log_{10}5-x\ log_{10}5 = log_{10}5 \)

Simplify,

\(\longrightarrow x\ log_{10}5=log_{10}3 \)

Divide both sides by log5 ,

\(\longrightarrow x =\dfrac{log_{10}3}{log_{10}5} \)

Put on the values of log 3 and log5 ,

\(\longrightarrow x =\dfrac{0.47}{0.69} \)

Simplify,

\(\longrightarrow \underline{{\underline{\boldsymbol{ x = 0.68}}}}\)

And we are done!

Answer:

d

Step-by-step explanation:

Answer:

4(3x+17)

Step-by-step explanation:

move the 96 to the other side and make it negative. then combine similar terms, and finally factor out 4

12x+164=96

12x+164-96

12x+68

4(3x+17)

y=4(3x+17)

g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

The "g value" or "g-force" is a measure of the acceleration or deceleration experienced by an object. It is defined as the ratio of the acceleration of the object to the acceleration due to Earth's gravity, which is approximately 9.8 m/s^2.

To calculate the g value of an object, you can use the following formula:

g value = acceleration of the object / acceleration due to gravity

For example, if an object experiences an acceleration of 19.6 m/s^2, the g value can be calculated as follows:

g value = 19.6 m/s^2 / 9.8 m/s^2 = 2 g

This means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

It's important to note that the g value is a unitless quantity, so the units of the acceleration of the object and the acceleration due to gravity must be the same in order to obtain a correct result.

Therefore,  g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

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Answer:

3%

Step-by-step explanation:

Given data

FInal amount A= $24,000

Time= 5 years

Principal= $1,500

Say we the savings is on simple interest

A= P(1+rt)

substitute

24000=1500(1+r*5)

24000= 1500+ 7500r

24000-1500= 7500r

22500= 7500r

r= 22500/7500

r= 3%

Hence, on a simple interest account, the rate is 3%

Answer: 1 gallon converts to 4 quarts convert to 8 pints convert to 16 cups

Step-by-step explanation:

Answer:

7. According to your line of best fit, what is the arm span of a 74-inch-tall person?

Dont need to do all. Just do thep

Step-by-step explanation:

702 - []98 = 5[][]

The only number that can go in front of 98 to obtain a 5 is 1. One of the hundreds value is carried over to subtract the 9 (in which one more is carried over for the ones value).

Subtract:

702 - 198 = 504

198 & 504 is your answer.

~

Answer:

A. 5, 7, 9

Step-by-step explanation:

in a regular triangle the sum of any 2 sides must always be greater than the third side.

A.

5+7 = 12 > 9

5+9 = 14 > 7

9+7 = 16 > 5

yes, this can be a triangle.

B.

1+8 = 9 = 9

that violates the condition. both sides together are equally long as the third side, so the triangle would be only a flat line with the top vertex being squeezed flat onto the baseline.

no triangle.

C.

5+5 = 10 < 12

that violates the condition. the sides cannot even connect all around.

no triangle.

Factors that would make a hookup an autonomous decision include personal agency, clear communication, and consent.

An autonomous decision refers to a decision made by an individual with full personal agency and consent. In the context of hookups, this means that the decision to engage in a hookup is made willingly and independently, without any external pressure or influence.
Factors that contribute to an autonomous hookup decision include: Personal agency: The individual has a sense of control over their own choices and actions. They make the decision to engage in a hookup based on their own desires and preferences, rather than feeling obligated or pressured by others.

Clear communication: The individuals involved in the hookup have open and honest communication about their intentions, boundaries, and expectations. They are able to express their needs and desires, and actively listen to each other's preferences.Consent: Both parties involved in the hookup provide explicit and enthusiastic consent. Consent means that each person freely and willingly agrees to participate in the hookup, without any form of coercion or manipulation.When a hookup is entered into autonomously, these factors contribute to a healthier and more positive experience for the individuals involved. Autonomy allows for mutual respect, personal empowerment, and a greater likelihood of both parties enjoying the encounter.

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Answer:

Step-by-step explanation:

If AB is tangent to the circle, the AB makes a right angle with the radius BC. That means that triangle ABC is a right triangle and we need Pythagorean's Theorem to find the missing side which is the hypotenuse.

\(AC^2=AB^2+BC^2\) and filling in:

\(AC^2=14^2+9^2\) and

\(AC^2=196+81\) and

\(AC^2=277\) so

\(AC=\sqrt{277}\) ≈ 16.64

AC = 16.64

"It states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency."

From given diagram,

tangent AB = 14 units

radius BC = 9 units

Using tangent theorem,

AB is perpendicular to BC.

This means ΔABC is right triangle with ∠B = 90°

Using Pythagoras theorem,

\(AC^2=AB^2+BC^2\)

⇒ \(AC^2=14^{2}+9^{2}\)

⇒ \(AC^2=196+81\)

⇒ \(AC^2=277\)

⇒ \(AC=\sqrt{277}\)

⇒ \(AC=16.64\)

Therefore, AC = 16.64

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The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

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The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

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I think the answer is 91.8 because if the tire rotates 3.4 times with each turn and the diameter of the wheel is 27 inches then each rotate would make it move by 27.

Answer:

B. False

Step-by-step explanation:

There is not enough information to make that conclusion. The two statements are completely unrelated, so the transitive property cannot be used. None of the given statements say that ABC is congruent to MNO or PQR. That means that nothing can be assumed about DEF. To use the transitive property you would need proof that ABC=MNO or ABC=PQR. But neither of those statements are there so the answer is false.

Answer:

true

Step-by-step explanation:

a pe c

Answer:

D

Step-by-step explanation:

The hypotenuse squared is equal to the sum of the legs squared in a right triangle.

∴ c² = a² + b² (Pythagorean’s Theorem)

c² = 3.4² + 6.7² (substitute the given values for a & b)

c² = 11.56 + 44.89 (square both right hand terms)

c² = 56.45 (add the right hand side values)

c = √56.45 (square root of both sides)

c ≈ 7.5 to the nearest tenth QED