the question is 7+x<16 and i need the symbol!

The whole number for the value (x + 21) is 41.

All integers starting from 0 are called whole numbers. The opposite of their corresponding positive numbers, the negative numbers are additive. The blackboard bold math Z or boldface Z is a common way to represent the set of integers in mathematical terminology.

given,

       x = 20

then by putting the value of x = 20 in

       (x + 21)°      we get,

     = (20 + 21)°

     = 41°

Hence, the whole number of (x + 21) is 41

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Answer:

f(0) = 1

f(x) = f(x-1) - 3

Step-by-step explanation:

probably use the style of your teacher

The equation of the vertical asymptote of the function \(g(x)=4log_{2} (x-2)+5\) is x=2.

Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.

There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.

Graph the function \(g(x)=4log_{2} (x-2)+5\)

(x,y)= (3,5), (4,9), (6,13)

From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.

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The complete question is:

“What is the equation of the vertical asymptote of \(g(x)=4log_{2} (x-2)+5\)? enter your answer in the box.”

According to the question (a) The volume of the solid is given by \(\(V = \iiint_D dV\)\) over the specified region. (b) The center of mass of the solid is determined by \(\(x_{\text{cm}} = \frac{1}{M} \iiint_D x \cdot dV\), \(y_{\text{cm}} = \frac{1}{M} \iiint_D y \cdot dV\), and \(z_{\text{cm}} = \frac{1}{M} \iiint_D z \cdot dV\)\), where \(\(M\)\) is the total mass of the solid.

(a) The volume of the solid can be found by integrating the given equation over the specified region:

\(\[V = \iiint_D dV\]\)

where \(\(D\)\) represents the region defined by \(\(4x^2 + y^2 + z^2 \leq 9\) and \(z \geq \sqrt{4x^2 + y^2}\)\).

(b) The center of mass of the solid can be found using the formulas:

\(\[x_{\text{cm}} = \frac{1}{M} \iiint_D x \cdot dV, \quad y_{\text{cm}} = \frac{1}{M} \iiint_D y \cdot dV, \quad z_{\text{cm}} = \frac{1}{M} \iiint_D z \cdot dV\]\)

where \(\(M\)\) represents the total mass of the solid, given by \(\(M = \rho \cdot V\), and \(\rho\)\)  is the constant density.

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Answer:

b. 22.2

Step-by-step explanation:

I put it as an equation.

3.2w=72

Then solved for w

3.2w/3.2=72/3.2

Simplify

22.5

The cost per square inch of a circular cookie cake with a diameter of 10 inches and a cost of $15.70 is approximately $0.20, calculated by dividing the total cost by the area of the cake.

Area of Circle can be calculated using the following formula:

A = \(\pi r^2\)

where radius of the circle is r.

In this case, the diameter of the cookie cake is 10 inches, so the radius is 5 inches.

A = \(\pi r^2 = 3.14 \cdot 5^2\) = 78.5 square inches

To find the cost per square inch, we divide the total cost of the cookie cake by its area:

Per square inch cost is Total cost / Area

Per square inch cost = $15.70 / 78.5 square inches

Per square inch cost ≈ $0.20

Hence, the cookie cake will roughly cost $0.20 per square inch.

The formula for the area of a circle, A = \(\pi r^2\), is used to calculate the area of the cookie cake in square inches, where r is the radius of the circle. In this case, since the diameter of the cookie cake is given as 10 inches, we know that the radius is 5 inches.

Once we know the area of the cookie cake, we can calculate the cost per square inch by dividing the total cost by the area. This gives us an idea of how much we are paying for each unit of area, or each bite of the cookie cake.

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Answer:

The cost per square inch of a circular cookie cake with a diameter of 10 inches and a cost of $15.70 is approximately $0.20, calculated by dividing the total cost by the area of the cake.

Step-by-step explanation:

1/6 I think...

because there are 6 lines after the 0, and the point is on the first line.

The area of the original garden is 7200 square feet.

Given,

a rectangular garden has a length that is twice its width. the dimensions are increased so that the perimeter is doubled and the new shape is a square with an area of 3600 square feet.

we are asked to determine the area of the original garden = ?

let the width be x

and the length be 2x

area of the square = 3600 sq feet

Perimeter of the rectangle = 2(l+b)

⇒ 2(2x+x)

⇒ 2(3x)=6x

area of square = a²

a² = 3600

a = √3600

a = 60

now we get the width = 60

length = 2(60)

= 120

Now calculate the area of the rectangle:

= l×b

= 60 × 120

= 7200

hence we get the area as 7200 square feet.

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Angle A is 19 degrees.

Angle C is 90 degrees.

Side a is approximately 7.83.

Side c is approximately 34.50.

To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.

Finding Angle A:

Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:

A = 90 - B

Substituting the given value, we have:

A = 90 - 71

A = 19 degrees

Therefore, Angle A is 19 degrees.

Finding Angle C:

Since it is a right triangle, Angle C is always 90 degrees.

Therefore, Angle C is 90 degrees.

Finding Side a:

We can use the sine ratio to find the length of side a:

sin(A) = a / b

Rearranging the equation to solve for a, we have:

a = b * sin(A)

Substituting the given values, we have:

a = 24 * sin(19)

a ≈ 7.83

Therefore, the length of side a is approximately 7.83.

Finding Side c:

Using the Pythagorean theorem, we can find the length of side c:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 7.83^2 + 24^2

c^2 ≈ 613.68 + 576

c^2 ≈ 1189.68

Taking the square root of both sides to solve for c, we have:

c ≈ √1189.68

c ≈ 34.50

Therefore, the length of side c is approximately 34.50.

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The features of the function g(x) = f(x + 4) + 8 are:

To analyze the features of the function g(x) = f(x + 4) + 8, we need to consider the effects of each transformation applied to the original function f(x) = log2 x.

Translation: f(x + 4)

This transformation shifts the graph of f(x) horizontally to the left by 4 units. It means that every x-coordinate in f(x) is decreased by 4 units.

Vertical Shift: f(x + 4) + 8

After the horizontal translation, the graph is shifted vertically upward by 8 units. This means that every y-coordinate in f(x + 4) is increased by 8 units.

Based on these transformations, we can identify the features of the function g(x):

Y-intercept: The y-intercept of the function g(x) = f(x + 4) + 8 is (0, 10). This means that the graph intersects the y-axis at the point (0, 10).

Domain: The domain of the function g(x) = f(x + 4) + 8 is (4, ∞). The original function f(x) = log2 x has a domain of (0, ∞), but after the horizontal translation of 4 units to the left, the new domain starts from x = 4.

Range: The range of the function g(x) = f(x + 4) + 8 is (8, ∞). The original function f(x) = log2 x has a range of (-∞, ∞), but after the vertical shift of 8 units upward, the new range starts from y = 8.

Vertical Asymptote: The vertical asymptote of the function g(x) = f(x + 4) + 8 is x = -4. This vertical asymptote is the result of the original function f(x) = log2 x having a vertical asymptote at x = 0. After the horizontal translation of 4 units to the left, the asymptote also shifts 4 units to the left and becomes x = -4.

X-intercept: The x-intercept of the function g(x) = f(x + 4) + 8 is (1, 0).

This means that the graph intersects the x-axis at the point (1, 0).

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Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

In your test plan, include the number of repetitions you will perform and a method for analyzing the data to account for random errors.

A test plan should account for the presence of systematic and random errors through the following steps:

1. Calibration: Calibration ensures that the instruments used in the experiment are accurate and consistent. By calibrating the equipment, you can minimize the impact of systematic errors on your results. Start your test plan by ensuring all instruments are calibrated and their measurements are reliable.

2. Randomization: Randomization is the process of randomly assigning subjects or samples to different experimental conditions. This helps to eliminate any potential bias or systematic errors caused by the arrangement of the experiment. In your test plan, make sure to include a method for randomizing the experiment to minimize the effect of systematic errors.

3. Repetition: Repeating the experiment multiple times can help reduce the impact of random errors. By performing the experiment multiple times and averaging the results, you can minimize the influence of random errors on your findings.

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Answer:

1

Step-by-step explanation:

Characters are developed in the passage through their actions. Therefore, option A is correct.

Characters are the people, animals, or entities portrayed in a literary work such as a passage, story, or novel. They are often the main focus of the narrative and drive the plot forward.

A character can be developed through various literary techniques such as actions. Their traits, motivations, and relationships with other characters help to create a deeper understanding of the story and its themes.

Well-developed characters often feel like real people, with complex personalities, histories, and emotions, which helps to engage the reader and create a sense of empathy or connection. Therefore, option A is correct.

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The volume of the cone is changing at a rate of approximately -3368.49 cubic inches per second. The negative sign indicates that the volume is decreasing.

To find the rate at which the volume of the cone is changing, we need to use related rates and the formula for the volume of a cone, which is V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height.

Given that the radius is increasing at a rate of 1.8 in/s (dr/dt = 1.8) and the height is decreasing at a rate of 2.6 in/s (dh/dt = -2.6), we need to find dV/dt when r = 150 in and h = 128 in.

First, differentiate the volume formula with respect to time (t):
dV/dt = d(1/3πr²h)/dt

Apply the product rule and chain rule:
dV/dt = (1/3)π[2rh(dr/dt) + r²(dh/dt)]

Now, substitute the given values:
dV/dt = (1/3)π[2(150)(128)(1.8) + (150)²(-2.6)]

Perform the calculations:
dV/dt ≈ (1/3)π[55296 - 58500]

dV/dt ≈ (1/3)π[-3204]

dV/dt ≈ -3368.49 in³/s

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Triangular distribution is a good distribution when only minimum, most likely, and maximum value of a process is known. If we know the mean and standard deviation of a process, then Poisson distribution can be used to model this process. Lognormal distribution would be a good choice to model appointment times in a clinic. In this regard, the statements mentioned in the question are all true. 

Triangular distribution is a probability distribution that is used to find the expected value of a random variable when only minimum, most likely, and maximum values are known. It is a continuous probability distribution, with values distributed between the specified minimum, maximum, and most likely values. The shape of the distribution is in the form of a triangle, hence the name Poisson distribution is a probability distribution that is used to model the number of occurrences of an event in a fixed period of time, provided that the events are independent of each other and the average rate of occurrence is known. If we know the mean and standard deviation of a process, we can use the normal distribution to model this process.

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Answer:-El destino de los malos -Salmo de Asaf. -Ciertamente es bueno Dios para con Israel,Para con los limpios de corazón. En cuanto a mí, casi.

Step-by-step explanation:

The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.

A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.

Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.

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6 feet 7 inches

1 feet = 12 inches

6 feet = 6(12) = 72 inches

6 feet 7 inches = 72 + 7 = 79 inches

Answer:

79 inches

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

Answer:

Please check the explanation.

Step-by-step explanation:

Writing this relation in set notation using curly braces:

{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}

The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.

Hence, this relation is a function.

We know that the domain is the set of all x values.

Thus, the domain is: {1, 2, 3, 4, 5}

We know that the domain is the set of all y values.

Thus, the range is: {-1, 0, 3, 5, 6}

The expression as a perfect square trinomial is \(\rm x^2+4x+4\\\).

The expression as a perfect square trinomial is \(\rm x^2-20x+100\\\)

The expression as a perfect square trinomial is \(\rm x^2+4x+\dfrac{25}{4}\\\).

The given equations are as follows;

\(\rm x^2 + 2x + \\\\ x^2 -20x +\\\\ x^2 + 5x +\\\\\)

What values are needed to make each expression a perfect square trinomial?

According to the question

To know more about the values are needed to make a perfect square trinomial following all the steps given below.

A perfect square trinomial is equal to;

\(\rm (x+a)^2 = x^2+a^2+2ax\)

1. The given equation is,

\(\rm x^2 + 2x +\)

Then,

Compare with the formula of a perfect square trinomial.

\(\rm x^2+2ax+a^2= x^2+4x\\ \\ 4x=2ax\\ \\ a = \dfrac{4x}{2x}\\ \\ a=2\)

Substitute the value of a

\(\rm x^2+2ax+a^2= x^2+4x+(2)^2\\ \\ x^2+2ax+a^2= x^2+4x+4\\\)

The expression as a perfect square trinomial is \(\rm x^2+4x+4\\\).

2. The given equation is,

\(\rm x^2 - 20x +\)

Then,

Compare with the formula of a perfect square trinomial.

\(\rm x^2+2ax+a^2= x^2-20x\\ \\ -20x=2ax\\ \\ a = \dfrac{-20x}{2x}\\ \\ a=-10\)

Substitute the value of a

\(\rm x^2+2ax+a^2= x^2 -20x+(-10)^2\\ \\ x^2+2ax+a^2= x^2-20x+100\\\)

The expression as a perfect square trinomial is \(\rm x^2-20x+100\\\).

3. The given equation is,

\(\rm x^2 + 5x +\)

Then,

Compare with the formula of a perfect square trinomial.

\(\rm x^2+2ax+a^2= x^2+5x\\ \\ 5x=2ax\\ \\ a = \dfrac{5x}{2x}\\ \\ a=\dfrac{5}{2}\)

Substitute the value of a

\(\rm x^2+2ax+a^2= x^2+4x+(\dfrac{5}{2})^2\\ \\ x^2+2ax+a^2= x^2+4x+\dfrac{25}{4}\\\)

The expression as a perfect square trinomial is \(\rm x^2+4x+\dfrac{25}{4}\\\).

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Answer:

2022

Step-by-step explanation:

1

100

25/4

on edge

Answer:

153.94

Step-by-step explanation:

A=πr^2=π·72≈153.93804.

Answer:

49pi

Step-by-step explanation:

The formula for a circle is: pi*r^2

If we have the diameter (14cm) and take it and make it into the radi (14 / 2)

Then, we get 7, put that into the formula

pi*7^2

We get 49pi

Hope this helped <3

To solve this problem, we have to use the equivalence of each type in dollars.

Taking x, y and z as the number of nickels, dimes and quarters, we have that:

0.05 is the equivalence of one nickel in dollars, same for 0.1 and 0.25 with dimes and quarters respectively.

Now, we know that she has 2 more dimes than nickels:

And 4 more quarters than nickels:

We can use the expression for y and z in terms of x in the first equation to find the value of x (number of nickels):

Once we have found x, we can use it to find y and z using the equations we stated:

It means that Susan has 3 nickels, 5 dimes and 7 quarters.

Answer:

(g · f)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x² - 4x- 5

(g · f)(x) = 4(x² - 5) + 1

(g · f)(4) = 4(4² - 5) + 1

Following pemdas

(g · f)(4) = 4(16 - 5) + 1

(g · f)(4) = 4(11) + 1

(g · f)(4) = 44 + 1

(g · f)(4) = 45

Answer:

0.1, 0.2, 1/2

Answer:

0.1<0.2<0.5(1/2)

hope it helps

have a nice day

Volume is a three-dimensional scalar quantity. The volume of the right-triangular pyramid is 1.008 m³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a right-triangle pyramid is one-third of the product of its base area and its height. Therefore, the volume is,

Volume = (1/3) × 0.5 × 1.4 × 1.8 × 2.4

             = 1.008 m³

Hence, the volume of the right-triangular pyramid is 1.008 m³.

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Answer:

the answer are

a = 3, b

= 5 and

c = -9

Answer:

The answer is in the photo below! :D

Step-by-step explanation:

Hope this helped!

-LEI