What is NOT a component of a design recipe?
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Answer:9

Step-by-step explanation:

9

Answer:

x = -7

Step-by-step explanation:

2(x-4) = -22

2*x + 2*-4 = -22

2x - 8 = -22

2x = -22 + 8

2x = -14

x = -14/2

x = -7

Check:

2(-7-4) = -22

2*-11 = -22

There are 16 oz in a pound so it would be cheaper to purchase 1 pound for $3.75

Answer:

False

Step-by-step explanation:

The values of a and b that make the function both continuous and differentiable everywhere are a = -3 and b = 19.

A function is a mathematical concept that assigns a unique output value for each input value. It is a rule that takes in an input or set of inputs and maps it to a specific output. Functions are represented by symbols, usually denoted by a letter, such as "f".

In mathematical notation, a function is usually expressed as "f(x)" where "x" is the input and "f(x)" is the corresponding output. For example, a function could be defined as f(x) = x^2, which means that for any value of x, the function will calculate and return the square of that value.

Functions play a central role in mathematics and are used to model real-world phenomena and to study the relationships between variables. They are also used in computer programming to perform specific tasks, such as converting temperatures from Celsius to Fahrenheit or calculating the square root of a number.

To make the function continuous at x = -3, the value of f(-3) must be equal for both the first and second parts of the definition. That is, 3 * -3 + 4 = -3 * -3 + a * -3 + b. Solving for a and b gives us:

a = -3

b = 19

To make the function differentiable at x = -3, the limits of the first and second parts of the definition must be equal, and their derivatives must also be equal.

The limit from the left of f(-3) is:

\(\lim_{x \to \ -3}\)f(x) = 3 * -3 + 4 = 5

The limit from the right of f(-3) is:

\(\lim_{x \to \ -3}\) + f(x) = -3 × -3 + a × -3 + b = -3 × -3  + 19 = 19

So the function is continuous at x = -3. To check for differentiability, we find the derivative of the first part:

f'(x) = 3

And the derivative of the second part:

f'(x) = -6x + a

The derivative of the two parts must be equal at x = -3, so we have:

3 = -6 × -3 + a

3 = 18 - a

a = -15

This value of a is different from the value we found in the first step, so the function is not differentiable at x = -3. To make it differentiable, we must choose the value of a that makes the function continuous, which is a = -3.

So the values of a and b that make the function both continuous and differentiable everywhere are a = -3 and b = 19.

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1. 2.7

i don’t really know the second one, but at least there’s the first! i’m sorry

Answer:

f'(x) = -1/(1 - Cos(x))

Step-by-step explanation:

The quotient rule for derivation is:

For f(x) = h(x)/k(x)

\(f'(x) = \frac{h'(x)*k(x) - k'(x)*h(x)}{k^2(x)}\)

In this case, the function is:

f(x) = Sin(x)/(1 + Cos(x))

Then we have:

h(x) = Sin(x)

h'(x) = Cos(x)

And for the denominator:

k(x) = 1 - Cos(x)

k'(x) = -( -Sin(x)) = Sin(x)

Replacing these in the rule, we get:

\(f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2}\)

Now we can simplify that:

\(f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2} = \frac{Cos(x) - Cos^2(x) - Sin^2(x)}{(1 - Cos(x))^2}\)

And we know that:

cos^2(x) + sin^2(x) = 1

then:

\(f'(x) = \frac{Cos(x)- 1}{(1 - Cos(x))^2} = - \frac{(1 - Cos(x))}{(1 - Cos(x))^2} = \frac{-1}{1 - Cos(x)}\)

Answer:

These are the answers for A,B,C only. I am sorry but I can't answer the last one.

The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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The derivative of the function f(z) = e^z / (z - 4) is f'(z) = (e^z * (z - 5)) / [(z - 4)]^2.

To differentiate the function f(z) = e^z / (z - 4), we can use the quotient rule and the chain rule.

The quotient rule states that for functions u(z) = e^z and v(z) = z - 4, the derivative of f(z) = u(z) / v(z) can be calculated as:

f'(z) = (u'(z) * v(z) - u(z) * v'(z)) / [v(z)]^2

Let's find the derivatives of u(z) and v(z):

u'(z) = d/dz (e^z) = e^z

v'(z) = d/dz (z - 4) = 1

Now, we can substitute these derivatives into the quotient rule formula:

f'(z) = (e^z * (z - 4) - e^z * 1) / [(z - 4)]^2

Simplifying the expression:

f'(z) = (e^z * (z - 5)) / [(z - 4)]^2

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Based on the AA Similarity Theorem, triangles PQR and TSR are proven to be similar to each other because they have two pairs of corresponding angles that are congruent to each other.

The AA (Angle-Angle) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This means that the corresponding sides of the triangles are in proportion to each other.

With the information given, the proof that shows that the two triangles are similar as as follows:

Statements                                         Reasons                                        

1. ∠QPR ≅ ∠STR                                1. Given

2. QR ⊥ PT                                         2. Given

3. ∠QRP ≅ ∠SRT                               3. def. of perpendicular

4. ΔPQR ~ ΔTSR                                4. AA Similarity Theorem

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120

10 x 8 = 80

8 x 5 = 40

80 + 40 = 120

Answer:

is it 40

Step-by-step explanation:

6×10=60. 4×5=20

60-20=40

Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=\(-\frac{b}{2a}\) If a is positive, the minimum value of the function is f (\(-\frac{b}{2a}\)).

Substitute in the values of aa and b.

x=−\(\frac{48}{2(3)}\)

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

Answer:

224 fl.oz

Step-by-step explanation:

Answer:

well you need to attech the graph

Step-by-step explanation:

9514 1404 393

Answer:

  D) 4pi(3.7)^3/3

Step-by-step explanation:

The formula for the volume of a sphere is ...

  \(V=\dfrac{4}{3}\pi r^3\)

This is given in terms of the radius, which is half the diameter

  r = d/2 = (7.4 cm)/2 = 3.7 cm

Using this value in the formula, we have ...

  \(V=\dfrac{4}{3}\pi(3.7)^3\\\\ \boxed{V=\dfrac{4\pi(3.7)^3}{3}} \qquad\text{matches D}\)

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer:

-45, -2.5, -1.1, 0.8, 95

Answer:

your answer would be -45, -2.5, -1.1, 0.8, 95

Step-by-step explanation:

if you put the listed numbers out on a number line you would start with the negative numbers on the left side going up to the positive numbers on the right side. -45 is the smallest number in this sequence so it will be the first number. then if you go further right on the number line you'll hit -2.5, then -1.1, then 0.8, then 95. these numbers are large so a number line wouldn't be logical but it always helps to visualize it. hope this helps!

Answer:

48x² + 24x + 3

Step-by-step explanation:

Width = (4x + 1) in

Length = 3 *width = 3*(4x + 1) = 3*4x + 3*1

           = (12x + 3) in

Area of rectangle = length * width

                             = (12x + 3) (4x + 1)

                             = 12x *4x  + 12x *1  + 3*4x  + 3*1

                             = 48x² + 12x + 12x + 3

                              = 48x² + 24x + 3

Answer: D. as a total number of family member increases the amount of money that the family spends on food increases

Step-by-step explanation:

i.e. independent variable acts like a cause to effect the dependent variable.

This can be seen only in Option D. as it is very obvious that increase in family member will increase the cost of food.

Hence, there is direct effect of number of people on food's cost.

Rest of options represents correlation but not causation .

Hence, the correction option is D.

The statement is true, An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

Given that,

From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.

Therefore, An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

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Disclaimer

The given question is incomplete, a question based on the same concept has been solved here.

The question is

From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.

Whether the statement is true or false.

The probability of P(x > 10) is approximately 0.8643, or 86.43%.Probability is a measure of the likelihood or chance that a particular event will occur. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

To find the value of P(x > 10), where x is the high temperature in degrees Fahrenheit on January days in Columbus, Ohio, we can use the standard normal distribution.

1. Convert the given values to standard units by using the formula: z = (x - mean) / standard deviation.

For x = 10, mean = 21, and standard deviation = 10, we have:
z = (10 - 21) / 10
z = -11 / 10
z = -1.1

2. Look up the corresponding z-value in the standard normal distribution table. The table will give you the probability associated with that z-value.

From the standard normal distribution table, the probability associated with z = -1.1 is approximately 0.1357.

3. Since we are looking for the probability of x being greater than 10, we need to subtract the obtained probability from 1.

P(x > 10) = 1 - 0.1357
P(x > 10) ≈ 0.8643

Therefore, the value of P(x > 10) is approximately 0.8643, or 86.43%.

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A bell-shaped probability distribution that is symmetrical about its mean is the student's t-distribution. In the following situations, it is thought to be the distribution that should be used to build confidence intervals when working with little samples that have fewer than 30 components if it is unclear what the population variance is.

When the involved distribution is either normal or nearly normal.

A t-distribution is used to test the following in addition to being used to build confidence intervals:

Individual population mean

The variations in two population means.

The average variation among paired (dependent) populations.

The correlation coefficient for the populace.

If the sample size is high enough for the central limit, a t-distribution may still be viable for usage even in the absence of explicit normality for a specific distribution theorem that must be used. In this scenario, the distribution is regarded as roughly normal.

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Answer:

from point A to A' would be 10 points away

Step-by-step explanation:

Answer:

10 units away

Step-by-step explanation:

got it correct on Edge 2021

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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