Write a multiplication equation that represents the question: how many 38s are in 54?

= 816,480 arrangements.

To keep TH together we have do arrangements of : M, A, TH, E, M, A, T, I, C, S, so there are 10 objects to be arranged.We will make arrangements of these 10 and then substract cases where THE exists.Number of arrangements of above 10 objects = 10!/(2!*2!) = 907,200 ( We have divided by 2! twice because two copies of M and A are present). Number of arrangements where THE is together = 9!/((2!*2!) =  90,720.So Number of arrangements = 907,200 - 90,720 = 816,480

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There are 4,320 ways to select six of the letters of the word algorithm and write them in a row if the first letter must be "a".

There are 7 letters in the word "algorithm", and we need to select 6 of them and arrange them in a row such that the first letter is "a". We can first choose the remaining 5 letters from the remaining 6 letters (excluding "a") in 6 choose 5 ways

⁶C₅ = 6!/5! = 6

Once we have chosen the 5 letters, we can arrange the 6 selected letters (including "a") in a row in 6! ways. Therefore, the total number of ways to select 6 letters and arrange them in a row with the first letter being "a" is

⁶C₅ × 6! = 6 × 720 = 4,320

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Answer:

the mmic is back still swords rund eep

Step-by-step explanation:

Answer:

I think AB would be 67

BC would be 20 because its the whole line s 10+10 is 20

I am really sorry I don't know 1 and 4 I hope this helps tho

Also you dont have to give me brainliest

Step-by-step explanation:

Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.

The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.

Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example,  x-2 = 1/x2.

The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.

The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.

The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.

These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.

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The answer is 80, because if you work backwards, you add 30 by 10, which equals 40, 40*2 equals 80.

Answer:

Line 1 and 4

Step-by-step explanation:

Perpendicular lines are easy to see once you realize that their slopes, the numbers in front of the x, are inverses. Line 1 and 4 are inverses.

1/3 and 3

Boom.

So:

We're going to write inequalities for the points of the players in the table:

Let me draw the table:

So, Marco is comparing his points with the points of the other players, like this:

0 < 12

0 > -2

0 < 4

Answer:5x+7

Step-by-step explanation:

Answer:

B!

Step-by-step explanation:

Generally, the rate of change will be the key to solving this problem

in g(x), x increases with y, indicating a positive correlation

However, f(x) has a negative slope (-3x) which is a negative correlation

I really hope I didn't complicate that too much-

Answer:

700

Step-by-step explanation:

they got it for 50 and they want 759 so the answer is 700

To obtain a Maclaurin series for the given function f(x) = sin x, we can use the known Maclaurin series for sin x, which is:
sin x = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...

Multiplying this series by x^3 gives:
sin x 3 = x^3 - (x^6)/3! + (x^8)/5! - (x^10)/7! + ...
Therefore, the Maclaurin series for f(x) = sin x 3 is:
f(x) = x^3 - (x^6)/3! + (x^8)/5! - (x^10)/7! + ...
To find the associated radius of convergence r, we can use the ratio test. The nth term of the series is given by:
a_n = (-1)^(n-1) * (x^3)^(2n-1) / (2n-1)!
Using the ratio test, we have:
lim |a_(n+1) / a_n| = lim |(-1)^n+1 * (x^3)^(2n+1) / (2n+1)!| / |(-1)^n * (x^3)^(2n-1) / (2n-1)!|
= lim |(-1) * x^6 / ((2n+1)(2n))| = 0
Since the limit is less than 1 for all values of x, the series converges for all x. Therefore, the radius of convergence is infinity, which is consistent with the fact that sin x has an infinite radius of convergence.

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Answer:

4

Step-by-step explanation:

11=4x-5

11+5=4x

16/4=x

x=4

The region bounded by y = x^4 − x² and x = 0 to x = 2 can be rotated about the y-axis to form a solid of revolution. To calculate the volume of this solid, we'll need to use the disk method.  

The function y = x^4 − x² −−−−−√ is first solved for x in terms of y as follows:x^4 − x² − y² = 0x²(x² − 1) = y²x = ±√(y² / (x² − 1))Since we are rotating about the y-axis, we will be using cylindrical shells with radius x and height dx. Thus, the volume of the solid can be calculated using the integral as follows:V = ∫₀²2πx(y(x))dx= ∫₀²2πx((x^4 − x²)^(1/2))dxUsing u-substitution, let u = x^4 − x², so that du/dx = 4x³ − 2x.Substituting u for (x^4 − x²),

we can rewrite the integral as follows:V = 2π∫₀² x(u)^(1/2) / (4x³ − 2x) dx= π/2∫₀¹ 2u^(1/2) / (2u − 1) du [by substituting u for (x^4 − x²)]= π/2 ∫₀¹ [(2u − 1 + 1)^(1/2) / (2u − 1)] duLetting v = 2u − 1, we can rewrite the integral again as follows:V = π/2 ∫₋¹¹ [(v + 2)^(1/2) / v] dvBy u-substitution, let w = v + 2, so that dw/dv = 1. Substituting v + 2 for w and replacing v with w − 2, we can rewrite the integral once more:V = π/2 ∫₁ [(w − 2)^(1/2) / (w − 2)] dw= π/2 ln(w − 2) ∣₁∞= π/2 ln(2) ≈ 1.084 cubic units.

Answer: The volume of the solid obtained when the region under the curve y = x^4 − x² −−−−−√ from x = 0 to x = 2 is rotated about the y-axis is π/2 ln(2) ≈ 1.084 cubic units.

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The number of students in the school are represented by percentages

The number of students in the school is 1600

Let the number of students in the school be n.

So, the equation from the question is:

\(\mathbf{10\% \times n = 160}\)

Divide both sides by 10%

\(\mathbf{n = \frac{160}{10\%}}\)

Express 10% as decimal (0.10)

\(\mathbf{n = \frac{160}{0.10}}\)

\(\mathbf{n = 1600}\)

Hence, the number of students in the school is 1600

The true statements are (d) and (e)

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Answer:
b, c, e,

Step-by-step explanation:
I did the math

Answer:

this are the equation I was taught

Step-by-step explanation:

_(x2+4x+8)=0

A logarithm is inverse of the power. The logarithm of the number cancels the exponents of the number. The statement A is true for the given equation which is,

\(x+1&=3^2\\\)

Given information-

The given logarithm expression is,

\(\log_3(x+1)=2\)

A logarithm is inverse of the power. The logarithm of the number cancels the exponents of the number.

The exponential rule of the logarithm is,

If,

\(log_a(b)=c\)

Then,

\(b=a^c\)

Use this logarithm law in the given equation,

\(\begin{aligned}\\ \log_3(x+1)&=2\\ x+1&=3^2\\ \end\)

The above equation is the equation of statement A.

Thus the statement A is true for the given equation which is,

\(x+1&=3^2\\\)

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Answer:

Option A:  is the correct statement

Step-by-step explanation:

If a point lies inside a triangle is to check the number of points in the convex hull of the vertices of the triangle adjoined with the point in question.

The interior of a triangle is the set of all points inside the triangle, that is, all points within the convex hull of the triangle's vertices.

The easiest way to check if a point is inside a triangle is to check the number of points in the convex hull of the triangle vertices that neighbor the point in question. If the hull has 3 points, that point is inside the triangle. 4 is outside the triangle.

To determine if a given point v is inside a given triangle, consider a single vertex denoted by v_0 and let v_1 and v_2 be vectors from v_0 to the other two vertices. Denoting the vector from v_0 to v by v_1 and v_2,

v=v_0+av_1+bv_2,

(1)

where a and b are constants. Auflösen nach a und b

a = (det(v v_2)-det(v_0 v_2))/(det(v_1 v_2))

(2)

b = -(det(v v_1)-det(v_0 v_1))/(det(v_1 v_2))、

(3)

det(u v)=uxv=u_xv_y-u_yv_x 

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7.4 inches is the length in inches of the pool on the map.

To find the length of the pool on the map in inches, we can set up a proportion using the given scale:

1/3 inch represents 15 yards

Let's denote the length of the pool on the map as "x" inches.

Using the proportion, we have:

(1/3) / 15 = x / 333

To solve for x, we can cross-multiply:

15 * x = (1/3) * 333

15x = 333/3

15x = 111

Dividing both sides by 15, we find:

x = 111 / 15

x ≈ 7.4

Therefore, the length of the pool on the map is approximately 7.4 inches.

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Answer:

B

Step-by-step explanation:

We can't see the answer choices?

Answer:

72

Step-by-step explanation:

Answer:

72 degrees

Step-by-step explanation:

x = 360 - (108 + 121 + 59)

x = 360 - (108 + 180)

x = 360 - 288

x = 72 degrees

Hope that helps!

The particular solution satisfying the initial condition y(0) = 2 is y(x) = 2e^(-8x).

To solve the separable differential equation dy/dx = -8y and find the particular solution satisfying the initial condition y(0) = 2, follow these steps:

Step 1: Identify the given equation and initial condition
The given equation is dy/dx = -8y, and the initial condition is y(0) = 2.

Step 2: Separate the variables
To separate the variables, divide both sides by y and multiply by dx:
(dy/y) = -8 dx

Step 3: Integrate both sides
Integrate both sides with respect to their respective variables:
∫(1/y) dy = ∫-8 dx

The result is:
ln|y| = -8x + C₁

Step 4: Solve for y
To solve for y, use the exponential function:
y = e^(-8x + C₁) = e^(-8x)e^(C₁)

Let e^(C₁) = C₂ (since C₁ and C₂ are both constants):
y = C₂e^(-8x)

Step 5: Apply the initial condition
Now, apply the initial condition y(0) = 2:
2 = C₂e^(-8 * 0)
2 = C₂

Step 6: Write the particular solution
Finally, substitute the value of C₂ back into the equation:
y(x) = 2e^(-8x)

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Get a robot to do it. I'll leave the link in the comments.

Answer:

D. none

Step-by-step explanation:

we only know about the right angle at the bottom right.

that is not enough information.

we always need 3 pieces of confirmed information of each triangle to be able to say that the 2 triangles are indeed of the same shape and size.

like the other answer options would indicate :

SAS : side - angle - side.

2 sides and the enclosed angle. if we know they are equal, then the rest of the triangles follow automatically.

SSS : all 3 sides. with 3 defined sides there is only one possible shake and size for that triangle.

HL : Hypotenuse and a leg of a right-angled triangle (also 3 pieces of information - 2 sides and the right angle).

since we have only the right angle and nothing else, we cannot prove that the triangles are congruent.

Considering the volume of the given rectangular prism, the height is of 5.03 feet.

The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, we have that:

The volume is of 365 cubic feet, hence:

lwh = 365

(2h + 2)(h + 1)h = 365

(2h² + 4h + 2)h - 365 = 0

2h³ + 4h² + 2h - 365 = 0.

Using a cubic equation calculator, the height is of h = 5.03 feet.

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When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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The volume of an ice cube produced by this machine is of:

Volume ice cube = 1 inch³

  A volume is the physical space that an object occupies in space, although it is also defined as the capacity of space that a hollow object may have.

If this machine produces ice that has a cube shape with a side of 1 inch, then to know the value of the volume of these cubes we will use the following equation:

Volume cube = side x side x side

Volume cube = side³

side = 1 inch

Volume ice cube = 1 inch³

As the side is 1 the volume and area will be 1 but with corresponding unit

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Answer:

4

Step-by-step explanation: