Stella's family traveled
3
10
of the distance to her aunt’s house on Saturday. They traveled
4
7
of the remaining distance on Sunday. What fraction of the total distance to her aunt’s house was traveled on Sunday?

The volume of the figure is 144 cubic inches.

The volume of an object is the three dimensional space that it fills up. Since there are different shapes, thus their volume can be expressed with different equations.

In the given shape, divide it into two cuboid so that;

volume of a cuboid = length*width*height

volume of cuboid 1 = 12 * 2* 4

                               = 96

volume of cuboid 1 is 96 cubic inches.

volume of cuboid 2 = 12*4*1

                                = 48

Volume of the figure = 96 + 48

                              = 144 cubic inches

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Answer: First Picture 100:60  = The answer is A. 5:3 | The Second Picture  K/12=8/24 the answer is A. k=4  | Third Picture is A. 4 | Fourth Picture answer is B. 4 teachers for every 64 students | And Final Picture answer is D. 9.33 miles per hour, Wendy Was Faster. | Hope this helps out today!!

Step-by-step explanation: Its simple math its just either x2 or what's it divided off

Answer:

Step-by-step explanation:

25 becuase 3 times 52 is that plus 32 is 73 and isabella with be rivher then ever than muh hahaha

The result is x^(2)-7x+20 with a remainder of -20. So the final answer is x^(2)-7x+20-20/(x-1).

To find the result of the division using synthetic division, we need to follow these steps:

The result is x^(2)-7x+20 with a remainder of -20. So the final answer is x^(2)-7x+20-20/(x-1).

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The years 1960–1965 saw the greatest change in temperature variation per unit of time.

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

The graph for average temperature variation v/s time is given.

To find during which year maximum temperature variation with time:

We have to find the year with maximum magnitude of slope |m|.

Slope m = [tex]\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Consider m for year 1950-1955:

m = 0 [line parallel to x-axis]

Consider m for year 1955-1960:

[tex]\frac{-0.05-0}{1955-1960}\\\\= 0.01[/tex]

Consider m for year 1960-1965:

[tex]\frac{-0.15-0}{1965-1960}\\\\= -0.03[/tex]

Consider m for year 1965-1970:

m = 0.01 {same as of 1955-1960}

Consider m for year 1970-1975:

m = 0 [line parallel to x-axis]

Consider m for year 1975-2000:

[tex]\frac{0.4-(-0.1)}{2000-1975}\\\\= 0.02\\[/tex]

|m| is maximum for year 1960-1965

Hence, the temperature variation changed the most per unit time in the year 1960-65.

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Answer:

135 mm

Step-by-step explanation:

The perimeter is found by adding all sides together. Since the answer is to be in millimeters, two side lengths must be converted.

1 centimeter = 10 millimeters

1.5 x 10 = 15 mm

6 x 10 = 60 mm

Now, add all sides together:

60 + 15 + 20 + 40 = 75 + 60 = 135 mm

Answer:

C. The account earns 1.2% in yearly interest.

Step-by-step explanation:

The expression 750(1+0.012) represents the amount of money in a savings account earning yearly interest after t years, where t is the number of years since the account was opened.

The expression (1+0.012) represents the interest rate as a decimal. The value 0.012 represents 1.2% in decimal form, which is the yearly interest rate earned by the account.

Therefore, (1+0.012) represents the account's yearly interest rate as a decimal, which is 1.2%.

Answer:

B

Step-by-step explanation:

The correct answer is Option C - Type 1 and Type 2. The power of a test is the probability of rejecting the null hypothesis when it is false; in other words, it is the probability of avoiding a type II error.

The power may also be thought of as the likelihood that a particular study will detect a deviation from the null hypothesis given that one exists. A Type 1 error occurs when a hypothesis test results in rejecting a true null hypothesis, and a Type 2 error occurs when a hypothesis test fails to reject a false null hypothesis.

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The average salary of 36 employee was 4650. Using historical data, we will assume that the population standard deviation is 165. The 98% confidence interval for the population mean salary is 4650±70.84. The correct answer is option c. 4650±70.84.

To find the 98% confidence interval for the population mean salary, we will use the formula:

CI = X ± Z* (σ/√n)

Where:
CI = Confidence Interval
X = Sample mean
Z = Z-score for the given confidence level
σ = Population standard deviation
n = Sample size

Plugging in the given values, we get:

CI = 4650 ± 2.33* (165/√36)

CI = 4650 ± 70.84

Therefore, the 98% confidence interval for the population mean salary is 4650±70.84. The correct answer is C.

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The associationA \mapsto g_{A} is an isomorphism between the space of m x n matrices with coefficients in K and the space of bilinear forms in Km x K​​​​​​​n.

The associationA \mapsto g_{A} is an isomorphism between the space of m x n matrices with coefficients in K and the space of bilinear forms in Km x K​​​​​​​n if it satisfies the following conditions:

1. It is a one-to-one correspondence, meaning that for every matrix A there is a unique bilinear form g_{A} and vice versa.
2. It preserves the structure of the spaces, meaning that the operations of addition and scalar multiplication are preserved.

To show that the associationA \mapsto g_{A} is a one-to-one correspondence, we can start by assuming that g_{A} = g_{B} for two matrices A and B. Then, for any vectors u \in Km and v \in K​​​​​​​n, we have:

g_{A}(u,v) = g_{B}(u,v)

A \cdot (u \otimes v) = B \cdot (u \otimes v)

(A - B) \cdot (u \otimes v) = 0

Since this is true for all u and v, we can conclude that A - B = 0, or A = B. This means that the associationA \mapsto g_{A} is a one-to-one correspondence.

To show that the associationA \mapsto g_{A} preserves the structure of the spaces, we can start by considering the addition of two matrices A and B and the scalar multiplication of a matrix A by a scalar c. Then, for any vectors u \in Km and v \in K​​​​​​​n, we have:

g_{A + B}(u,v) = (A + B) \cdot (u \otimes v) = A \cdot (u \otimes v) + B \cdot (u \otimes v) = g_{A}(u,v) + g_{B}(u,v)

g_{cA}(u,v) = (cA) \cdot (u \otimes v) = c(A \cdot (u \otimes v)) = c g_{A}(u,v)

This means that the associationA \mapsto g_{A} preserves the operations of addition and scalar multiplication.

Therefore, the associationA \mapsto g_{A} is an isomorphism between the space of m x n matrices with coefficients in K and the space of bilinear forms in Km x K​​​​​​​n.

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We have the following response after answering the given question: As a result, the following are the answers to the equation: [tex]x = 4 + 6 = 10[/tex] and [tex]x = 4 - 6 = -2[/tex]

In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.

We may use the completing the square method to solve the equation x2 - 8x + 5 = 25 by doing the following steps:

[tex]x^2 - 8x + 5 - 25 = 0\\x^2 - 8x - 20 = 0\\(-8/2)^2 = c\\16 = c\\x^2 - 8x + 16 - 16 - 20 = 0\\(x - 4)^2 - 36 = 0\\(x - 4)^2 = 36\\x - 4 = +6\\x = 4 + 6[/tex]

As a result, the following are the answers to the equation:

[tex]x = 4 + 6 = 10[/tex]

[tex]x = 4 - 6 = -2[/tex]

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Mika's estimate was 216 and the actual sum of the numbers is 216.27. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

All real numbers are supposed to be explicable by the four fundamental operations, often known as "arithmetic operations". Quotient, product, sum, and difference are the four operations in mathematics that follow division, multiplication, addition, and subtraction.

We are given numbers as 189.27, 15.8 and 11.2.

Mika's estimate is as follows:

189 + 16 + 11 = 216

Actual sum of numbers is as follows:

189.27 + 15.8 + 11.2 = 216.27

Hence, Mika's estimate was 216 and the actual sum of the numbers is 216.27.

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To find the value of k for which the matrix A has one eigenvalue of multiplicity 2, we can use the characteristic equation of the matrix. The characteristic equation is det(A-λI)=0. For a given matrix, this equation will yield a polynomial equation of degree equal to the dimension of the matrix.

In this case, the equation is (λ+4)(λ-2) = 0. Solving this equation gives us two distinct eigenvalues of λ= -4 and λ=2. This means that for any value of k, the matrix A will have two distinct eigenvalues, and thus cannot have one eigenvalue of multiplicity 2. Therefore, the matrix A cannot have one eigenvalue of multiplicity 2 no matter what value of k is used.

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The area of the parallelogram formed by the vectors u and v is 12.

The area of a parallelogram formed by two vectors u and v can be determined by finding the cross product of the two vectors and then taking the magnitude of the resulting vector.

First, we need to find the cross product of u and v:

u × v = [(2)(0) - (2)(4), (2)(4) - (1)(0), (1)(4) - (2)(4)] = [-8, 8, -4]

Next, we need to find the magnitude of the resulting vector:

|u × v| = √((-8)² + (8)² + (-4)²) = √(64 + 64 + 16) = √144 = 12

Therefore, the area of the parallelogram formed by the vectors u and v is 12.

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a. The probability that a student makes more than $30,000 is 0.0668.

b. The probability that a student makes between $27,000 and $32,000 is 0.9545.

c. The probability that a student makes less than $23,150 is 0.0062.

Probability is the likelihood that something will occur. When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various events. Statistics is the study of occurrences that follow a chance distribution.

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To find the total amount of milk used, we simply add the amount of milk used for the pancake recipe and the amount used for drinking. So we add 9 cups and 394 cups together, giving us a total of 403 cups of milk.

We can calculate the total amount of milk that Luke used for the pancake recipe and the additional amount he used for drinking.

For the pancake recipe, Luke used 9 cups of milk.

For drinking, Luke used an additional 394 cups of milk.

Total amount of milk used = Milk used for pancake recipe + Milk used for drinking

= 9 cups + 394 cups

= 403 cups of milk.

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The complete question is:

Lube used to 9 cups of milk for a pancake recipe to drink another 394 cups of milk how about about how much milk did Luke is using on the recipe?

Yes, Tanner has enough spray paint for his arrow.

What is an Area?

The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. A planar figure's area is the area that its perimeter encloses. The quantity of unit squares that completely encircle the surface of a closed figure is its area. Square measurements for area include cm2 and m2.

Given : paint available in can = 12 ft²

We know that the arrow is comprised of a triangle and a rectangle.

So, the area of given arrow = area of rectangle + area of triangle

Now, area of triangle = 1/2 ×base × height

                                    = 1/2 × 3 × (6 - 5 1/3)

                                    = 3/2 × ( 6 - 16/3)

                                    = 3/2 × ( 18-16)/3

                                    = 3/2 × 2/3

                                    = 1 ft²

Similarly, area of rectangle =  length × breadth

                                             = 5 1/3 × 2

                                             = 16/3 × 2

                                             = 32/3 ft²

Hence, area of arrow = area of triangle +area of rectangle

                                    = 1 + 32/3

                                    = 35/3 ft²

                                    = 11.67 ft²

So, he has sufficient paint to cover the arrow.

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The probability that a hotel room costs $227 or more per night in New York City is 0.3406.

It is a branch of mathematics that deals with the occurrence of a random event.

Lets standardize the value of $227 per night using the formula:

z = (x - μ) / σ

where x is the value we are interested in, μ is the mean of the distribution, and σ is the standard deviation of the distribution. Substituting the given values, we get:

z = (227 - 205) / 54

z = 0.4074

We need to find the probability that a hotel room costs $227 or more per night, which is equivalent to finding the probability that a standardized value is greater than or equal to 0.4074.

Using a standard normal table, we find:

P(Z ≥ 0.4074) = 1 - P(Z < 0.4074)

P(Z ≥ 0.4074) = 1 - 0.6594

P(Z ≥ 0.4074) = 0.3406

Therefore, the probability that a hotel room costs $227 or more per night in New York City is approximately 0.3406.

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The probability that a hotel room costs $227 or more per night is 0.3446

Probability distribution yields the possible outcomes for any random event. It is also defined based on the underlying sample space as a set of possible outcomes of any random experiment. These settings could be a set of real numbers or a set of vectors or a set of any entities. It is a part of probability and statistics.

Random experiments are defined as the result of an experiment, whose outcome cannot be predicted. Suppose, if we toss a coin, we cannot predict, what outcome it will appear either it will come as Head or as Tail. The possible result of a random experiment is called an outcome. And the set of outcomes is called a sample point. With the help of these experiments or events, we can always create a probability pattern table in terms of variables and probabilities.

GIven,

The mean hotel room rate ( [tex]\mu[/tex])  is $205 per night and standard deviation    ([tex]\sigma[/tex]) of $54. A.

p( x > 225 )

we can't this to standard normal using   [tex]z =\frac{X- \mu}{\sigma}[/tex]

                                                         [tex]z=\frac{227-205}{54} \approx0.4074[/tex]

p (z > 0.4074 ) = area to the right  at 0.4074

p( x > 225 )  = p (z > 0.4074 )  = 1 - p (z < 0.4074)

                                                = 1 - 0.6554 (from z table)

                                                =  0.3446

Hence, probability that a hotel room costs $227 or more per night (to 4 decimals) 0.3446

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Step-by-step explanation:

-10, -8, 0, 7 is the answer

The answer should be:

-10, -8, 0, 7

Given y = x³, y = 8, and x = 0, we need to find the volume generated when it is revolved about the y-axis.To solve this problem, we will use the washer method. We will draw the region to better understand it.  Area that is bounded by y = x³, y = 8, and x = 0, volume comes as  45/7 pi. The correct answer is option C

Now, let's draw the region we want to rotate around the y-axis. Below is the graph of the region after shading it. region which is bounded by , y = 8, and x = 0. We can see from the graph above that the region is between y = x³ and y = 8.

Thus the radius of our washer would be : R = 8 - x³  The height of the washer is dx (infinitesimal thickness). The width of the washer is given. We can now write the integral for the volume generated by the region V. Thus the volume generated when it is revolved about the y-axis is 45/7 pi. Therefore, the correct option is C.  

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equation is 4x + 3.25y

To maximize their profit, the coffee company needs to define the variables x and y, which represent the number of pounds of Columbian Supreme and Columbian Treat respectively. Then, the complete list of constraint inequalities can be written as:

Finally, the target (objective) equation is 4x + 3.25y, which represents the total profit from selling x pounds of Columbian Supreme and y pounds of Columbian Treat.

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Answer:

33.7°

Step-by-step explanation:

the direction angle is calculated as

tanΘ = [tex]\frac{y}{x}[/tex] ( Θ is the direction angle ) , then

tanΘ = [tex]\frac{-4}{-6}[/tex] = [tex]\frac{2}{3}[/tex]

Θ = [tex]tan^{-1}[/tex] ( [tex]\frac{2}{3}[/tex] ) ≈ 33.7° ( to the nearest tenth )

Answer:

In the novel "The Witch of Blackbird Pond" by Elizabeth George Speare, in chapters 13-15, several townsmen gather at the Wood household until late at night because they suspect that Kit's grandfather, Matthew Wood, is hiding royalist sympathies. The men search through Matthew's belongings and find books and pamphlets that are considered to be treasonous, including a pamphlet by William Penn. They also find a prayer book that Matthew had brought with him from England. The men take the items and leave, warning the Woods to be careful about their political leanings. This event foreshadows the tension and conflict that will arise later in the novel between the royalists and the patriots.

Step-by-step explanation:

cuz graaa thag boys a lier da boys a lier

a)T(u) + T(v) T is a linear transformation

b)[3 -2 ; 2 0]

c)T is one-to-one.

a) To prove that T is a linear transformation, we need to show that it satisfies two conditions.

1. Additivity: T(u + v) = T(u) + T(v)
Let u = [u1, u2] and v = [v1, v2], then
T(u + v) = T([u1 + v1, u2 + v2]) = [3(u1 + v1) - 2(u2 + v2), 2(u2 + v2)]
= [3u1 - 2u2 + 3v1 - 2v2, 2u2 + 2v2]
= [3u1 - 2u2, 2u2] + [3v1 - 2v2, 2v2]
= T(u) + T(v)

2. Homogeneity: T(cu) = cT(u)
Let u = [u1, u2] and c be any scalar, then
T(cu) = T([cu1, cu2]) = [3cu1 - 2cu2, 2cu2] = c[3u1 - 2u2, 2u2]
= cT(u)

Therefore, T satisfies both conditions, and is a linear transformation.

b) The standard matrix of T is the matrix A = [3 -2 ; 2 0]

c) To determine whether T is one-to-one, we look at the matrix A. Since the matrix A has a non-zero determinant, which is equal to -4, then T is one-to-one.

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Answer: In each of the terms 3x 2 and 7x, x is a variable, and in both terms, we are multiplying a number by the variable. In the first term, 3x 2, 3 is being multiplied by the variable, so 3 is a coefficient. In the second term, 7x, 7 is being multiplied by the variable, so 7 is a coefficient.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

See Venn diagram below :

By algebra properties, the factor form of polynomials are listed below:

In this problem we need to factor 13 cases of polynomials, whose results must be derived by algebra properties. The factor form of the polynomial is:

Case 1:

a² - b²

(a + b) · (a - b)

Case 2:

a³ + b³

(a + b) · (a² - a · b + b²)

Case 3:

a³ - b³

(a - b) · (a² + a · b + b²)

Case 4:

x⁴ - 36

(x² + 6) · (x² - 6)

(x² + 6) · (x + √6) · (x - √6)

Case 5:

64 · c³ + 1

(4 · c + 1) · (16 · c² - 4 · c + 1)

Case 6:

k³ - 27

(k - 3) · (k² + 3 · k + 9)

Case 7:

54 · x³ + 250 · y³

(∛54 · x + ∛250 · y) · [(∛54 · x)² - (∛54 · x) · (∛250 · y) + (∛250 · y)²]

Case 8:

3 · m⁴ - 48 · n²

(√3 · m² - 4√3 · n) · (√3 · m² + 4√3 · n)

3 · (m² - 4 · n) · (m² + 4 · n)

3 · (m - 2 · √n) · (m + 2 · √n) · (m² + 4 · n)

Case 9:

a⁷ · b² - a · b²

a · b² · (a⁶ - 1)

a · b² · (a³ + 1) · (a³ - 1)

a · b² · (a + 1) · (a² - a + 1) · (a - 1) · (a² + a + 1)

Case 10:

x³ · y² - 343 · y⁵

y² · (x³ - 343 · y³)

y² · (x - 7 · y) · (x² + 7 · x · y + 49 · y²)

Case 11:

9 · y⁷ - 144 · y

y · (9 · y⁶ - 144)

y · (3 · y³ - 12) · (3 · y³ + 12)

9 · y · (y³ - 4) · (y³ + 4)

9 · y · (y - ∛4) · [y² + ∛4 · y + (∛4)²] · (y + ∛4) · [y² - ∛4 · y + (∛4)²]

Case 12:

w² - 13 · w + 36

(w - 4) · (w - 9)

Case 13:

p³ + 5 · p² - 84 · p

p · (p² + 5 · p - 84)

p · (p + 12) · (p - 7)

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