At Sam's Kookie shop there is an unlimited number of chocolate chip, sugar, oatmeal, and snickerdoodle cookies. How many ways can Angelina choose six cookies?

Answer:

Below.

Step-by-step explanation:

This is a square based pyramid.

There are:

5 Faces (one on the base and 4 side faces)

8 edges.   ( 4 on base and 4 on side)

5 vertices   (4 on the base and one on the top)

Answer:

\(Faces~:~5\\Edges~:~8\\Vertices~:~5\)

Concept:

Here, we need to distinguish between face, edge, and vertex (plural: vertices)

A face is a single flat surface

An edge is a line segment between faces

A vertex is a corner

Please refer to the attachment below for a visual understanding

Solve:

Count the number of faces

1 + 4 = \(\Large\boxed{5~faces}\)

Count the number of edges

4 + 4 = \(\Large\boxed{8~edges}\)

Count the number of vertices

4 + 1 = \(\Large\boxed{5~vertices}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer: 7555

Step-by-step explanation:

Bweca

649, 852 are digit is in the hundred thousands place in Whole numbers.

What in mathematics is a whole number?

Whole numbers those figures that contain zero and natural integers. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. 0, the opposite of something, or a counting number.

649 -

The 6 is in the hundreds place, so you in order to round it you would look at the 4. Since 4 is a a number less than 5 you round down. That would mean 600 instead of 700.

852 -

852 rounded to the neatest hundred is 900.

852 is closer to 800 or 900, we need to determine how high the lower values are. Since 52 is closer to 100 than 0, this means the total number should be rounded up. Therefore the answer is 900.

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Answer:

J'= (-4,-1) K'= (-2,-4) L'= (4,-3)

P'= (-3,0) Q'= (1,3) R'= (0, -1)

Step-by-step explanation:

To meet the stopping sight distance (SSD) requirements for a highway section with a grade change, the minimum length of the equal tangent vertical curve needs to be determined.

Given the design speed of 65 mph, the height of eye and height of the object, and the grades of +(X4/2)% and -(X3/2)%, the minimum curve length can be calculated based on the AASHTO Guidelines.

The minimum length of the equal tangent vertical curve can be determined using the formula:

L = [(V^2 * f) / (30 * g * (H + h))]

Where:

L = Length of the curve

V = Design speed in ft/s

f = Rate of grade change in percentage (difference between the two grades)

g = Acceleration due to gravity (32.17 ft/s^2)

H = Height of eye

h = Height of object

By substituting the given values and solving the equation, the minimum length of the curve can be calculated to meet the SSD requirements.

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The interval of continuity of the function is continuous given y = 2 (x + 4 ) 2 + 8 is (-∞, ∞).

A function is continuous at a point if the function value exists and is finite at that point, and the limit of the function as the input approaches that point from the left and right side is equal to the function value at that point. In other words, the function has no sudden jumps or discontinuities at that point.

In the case of the function y = 2(x + 4)² + 8, the function is defined and continuous for all real numbers x. There are no values of x for which the function is undefined or has a discontinuity, so the function is continuous for all values of x, meaning that the interval of continuity is (-∞, ∞).

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The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

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-0.05 is the average rate of change in median age per year from 1930 to 1960.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,  a data set that gives the median age of an American man at the time of his first marriage.

Year                             Median age

1910                              25.1

1920                             24.6

1930                             24.3

1940                             24.3

1950                             22.8

1960                             22.8

1970                             23.2

1980                             24.7

1990                             26.1

2000                             26.8

The average rate of change from 1930 to 1960 = (-24.3 + 22.8) / (1960-1930)

The average rate of change from 1930 to 1960 = -0.05

Therefore, the average rate of change in median age per year from 1930 to 1960 is -0.05.

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The value of I^2 (I squared) is -1.

What in mathematics is a complex number?

Math: Complex Numbers. Complex numbers are those that are expressed as a+ib, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

I is a symbol that is used to represent the imaginary unit, which is the square root of -1. In other words, I^2 = sqrt(-1)^2 = (-1)^(1/2)^2 = -1.

In mathematics, the imaginary unit is used to represent the complex numbers, which are numbers that have both a real part and an imaginary part. The real part is a normal number (like 3, 5, or -2), and the imaginary part is represented by I. For example, the complex number 3 + 2I has a real part of 3 and an imaginary part of 2I.

In mathematical notation, the imaginary unit is usually written as I or i, and the complex numbers are written in the form a + bI, where a is the real part and bI is the imaginary part. For example, the complex number 3 + 2I could be written as 3 + 2i.

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The simplification by combining like terms of 4t-(t + 3t)  is 0.

According to the given question.

We have an expression 4t - (t+3t).

As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same.  when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.

Since, we have to combine the like terms of the given expression 4t-(t+3t).

Here 4t, t and 3t both are the like terms.

So, we add and subtract coeffcients of t to simplify the given expression.

Therefore, the simplification of 4t - (t + 3t) is given by

4t -( t+ 3t)

= 4t - t -3t

= 4t - 4t

= 0

Hence, the simplification by combining like terms of 4t - (t + 3t) is 0.

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0.85

1) Since the exponential model of decay points out, in this case, a devaluation. then, we can write the following for a 15% decay:

Note that 1, refers to 100%. And a to the initial value.

2) So the base is 0.85 and a is the initial value. This function will provide us the devaluating value over time.

Answer: 5b-8

Step-by-step explanation:

Answer:

Number of comic books is 75.

Original price of each comic book is 4$.

Step-by-step explanation:

There were 75 comics in the box originally.

An equation is the statement of equality between two expressions consisting of variables and/or numbers.

Given that, Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an internet website for $330, making a profit of $1.50 on each one.

Let x be the number of comics originally

(x - 15) is the number of comics sold.

Original price of each comic = 300/x

Price of comics which she gave to brother = 15*300/x

Original price of all the books that has been sold  = 300 - 15*300/x

Tayla's profit = 330 - (300 - 15*300/x) = 30 + 15*300/x

Number of comics sold = (30 + 15*300/x)/1.5

Equation will be,

(30 + 15*300/x)/1.5 = x - 15

20 + 3000/x = x - 15

(x² - 15x - 3000)/x = 20

x² - 35x - 3000 = 0

On factorizing the quadratic equation, we get,

x = 75 or -40 (Neglecting -40, because number of books can't be negative)

Hence, there were 75 comic books in the box originally.

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Answer:

4(x+1)m/2= 2(x+1)m

Step-by-step explanation:

can i have brainliest please

Answer:

211, 178, 167, 29, 0, -202, -253

Step-by-step explanation:

Negative numbers are the opposite of positive numbers in the sense that the larger the negative number, the smaller number they represent.

For example, -20 is smaller than -10 because it is further left on the number line.

Descending means to sort from biggest to smallest, so you'll start with the largest positive number and continue until the smallest negative number.

Answer:

211, 178, 167, 29, 0, -202, -253

Step-by-step explanation:

Negatives are left on a number line, therefore LEFT is always LESS.

Descending order is when the numbers go from highest to lowest, for example 10, 9, 8, 7, 6, 5, 4, 3, 2, 1.

Z would ultimately have a value of 2, since 5 minus 7 equals 2.

x = 5; y = 7; z = x - y z = 5; y z = 7; z = 2;Consequently, z's final value is 2.

Given that x is 5 and y is 7, the final value of z would be 2. These two numbers are divided by two, giving the answer 2. Subtraction is the action of comparing two integers to determine their differences. In this instance, since x and y differ by 2, the ultimate value of z is also 2. The solution is 2, which can alternatively be written as 5 - 7 = 2. In this case, the ultimate value of z is 2, since the difference between x and y is 2, which can be found using the useful mathematical technique of subtraction.

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Answer: (C) 25 lawns

Step-by-step explanation: he has 15 cars so his you follow the line from the graph it will end at 25 lawns

sorry this is a bad explanation but C is correct-

In inferential statistics, before administering an independent variable, means from each group in the study are assumed to be equal or similar.

In inferential statistics, researchers often compare groups to determine whether there are significant differences between them. Before administering an independent variable, which is a variable that is manipulated by the researcher, it is generally assumed that the means of each group are equal or similar. This assumption allows for a fair and unbiased comparison between groups. By assuming equal means, researchers can then analyze the data using statistical tests to determine if there are significant differences between the groups after administering the independent variable.

The assumption of equal means serves as a starting point for hypothesis testing and helps researchers assess the impact of the independent variable on the dependent variable. If there were already significant differences in means before administering the independent variable, it would be difficult to attribute any observed differences solely to the independent variable. Therefore, assuming equal means before the manipulation of the independent variable ensures that any subsequent differences can be more confidently attributed to the variable being tested. This assumption allows researchers to draw valid conclusions and make informed decisions based on the results of their statistical analyses.

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We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.

For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

f(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:

f(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:

f(x) = x^2 - 25

For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

g(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:

g(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:

g(x) = -x^2 + 25

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The given ordinary differential equation is dy/dx = -2x - y, with the initial condition y(0) = 1.15573. To solve the equation analytically, we can use the method of integrating factors. The analytical solution to the equation is y(x) = 3e^(-x) - 2x - 2.

To solve the given ordinary differential equation, we can rewrite it in the form dy/dx + y = -2x. The integrating factor for this equation is e^(∫dx), which simplifies to e^x. By multiplying both sides of the equation by the integrating factor, we have e^x * dy/dx + e^x * y = -2x * e^x. This can be further simplified as d/dx (e^x * y) = -2x * e^x. Integrating both sides with respect to x, we get e^x * y = -2 ∫x * e^x dx. Integrating the right side of the equation gives -2(x * e^x - ∫e^x dx). Simplifying further, we have e^x * y = -2(x * e^x - e^x) + C, where C is the constant of integration.

Dividing both sides of the equation by e^x, we get y = -2(x - 1) + Ce^(-x). Applying the initial condition y(0) = 1.15573, we can solve for the constant C. Plugging in the values, we have 1.15573 = -2(0 - 1) + Ce^(-0). Simplifying, we get 1.15573 = 2 + C. Therefore, C = -0.84427. Substituting this value back into the equation, we have y = -2(x - 1) - 0.84427e^(-x), which is the analytical solution to the given differential equation.

To plot the results, we can generate a graph with the x-axis representing the range of x values and the y-axis representing the corresponding values of y. Using the analytical solution, we can plot the curve y = -2(x - 1) - 0.84427e^(-x). This graph will show the behavior of the solution y(x) as x varies.

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The matrix A of T is given by A = [−4 2;1 -5].

Let T be a linear transformation from R² to R², such that T([1 0]) = [-4 1] and T([0 1]) = [2 -5].

We are to find the matrix A of T.

Linear transformations are functions that satisfy two properties.

These properties are additivity and homogeneity.

Additivity means that the sum of T(x + y) is equal to T(x) + T(y), while homogeneity means that T(cx) = cT(x).

Let A be the matrix of T.

Then, [T(x)] = A[x], where [T(x)] and [x] are column vectors.

This means that A[x] = T(x) for any vector x in R².

We can compute the first column of A by applying T to the standard basis vector [1 0] in R².

That is, [T([1 0])] = A[1 0].

Substituting T([1 0]) = [-4 1], we have -4 = a11 and 1 = a21.

We can compute the second column of A by applying T to the standard basis vector [0 1] in R².

That is, [T([0 1])] = A[0 1].

Substituting T([0 1]) = [2 -5], we have 2 = a12 and -5 = a22.

Therefore, the matrix A of T is given by A = [−4 2;1 -5].

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Answer:

21655

Step-by-step explanation:

minus the values

Answer:

2w + 6 (greater than or equal to sign) -23

                               <

                               ---

Step-by-step explanation:

Answer:

14.

Step-by-step explanation:

For these types of questions, we will have to work backwards.

I have attached an image with this answer and I will explain it.

------------------------------------------------------------------------------------

She starts off with ?, and we divide 2, because she sold half of her comic books. Then, she buys 7 and she has 14.

---------------------------------------------------------

So, ? \(\div2\)+7=14

We can work backwards,

so we will first subtract \(14-7=7\) (Opposite of addition is subtraction)

And then \(7\times2=14\) (Opposite of division is multiplication)

Answer: 14

Step-by-step explanation: 14 yes correct :)

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

3x-3 Perimeter= 16x + 6 equals 3x - 2.5 = W The following is an equation for calculating the perimeter of a rectangle: perimeter = length plus length plus width plus width P = l + l + w + w.

Therefore,

3x-3 Perimeter= 16x + 6

perimeter = 2L + 2W

16x - 6 = 2(3x-3) + 2W

16x - 6 = 5x + 6 + 2W

6x - 5 = 2W

3x - 2.5 = W

3x-3 Perimeter= 16x + 6 is 3x - 2.5 = W.

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Answer:answer is b

Step-by-step explanation:it’s miles per hour not hours per mile