What expression does this set of algebra tiles represent?
+
1
1
x²
xx
1
1
1
1
Combine like terms. For example, write 3 instead of 1 + 1 + 1.

The true statements are:

A circle is a closed, two-dimensional shape where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the middle.

To identify the true statements, we can first rewrite the given equation of the circle in standard form:

x² - 2x + y² = 8

Completing the square, we get:

(x - 1)² + y² = 9

Now we can identify the true statements:

Therefore, the true statements are:

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Answer:

A

Step-by-step explanation:

Hope this helps

Answer:

slope of every parallel line is - 4

Step-by-step explanation:

calculate the slope m of the given line using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (1, - 5) ← 2 points on the line

m = \(\frac{-5-7}{1-(-2)}\) = \(\frac{-12}{1+2}\) = \(\frac{-12}{3}\) = - 4

• Parallel lines have equal slopes

Thus the slope of any line parallel to the given line is m = - 4

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..

A vending machine automatically pours soft drinks into cups.

The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.

Examine figure 7.- and answer the following questions.

a) estimate the probability that the machine will overflow an 8oz cup.

Procedure:

Determine the z-score for 8

z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1

P(x>8) = P(z>1) = 0.1587..

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

b) Estimate the probability that the machine will not overflow an 8oz cup.

P(z<1) = 1 - 0.1587 = 0.8413..

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

c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..; Rounded down you get 134 cups

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Short & Simple Answer:

0.027

Answer:

0.027

Step-by-step explanation:

0.3x0.3x0.3

There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

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The constraints involve three variables (Y, I, and Z), it is not feasible to graphically represent the entire Feasible region in three dimensions.

The linear programming model for  decision variables, objective function, and constraints.

Decision Variables:the number of gallons of frozen yogurt purchased each week as Y and the number of gallons of ice cream purchased each week as I.

Objective Function:

The objective is to maximize the total profit. The profit from frozen yogurt can be calculated as 3.60Y, and the profit from ice cream can be calculated as 4.15I. Thus, the objective function is:

Maximize Profit: Z = 3.60Y + 4.15I

Constraints:

1. Budget constraint: The total cost of frozen yogurt and ice cream should not exceed the weekly budget of $90.

  Cost Constraint: 0.75Y + 0.93I ≤ 90

2. Freezer space constraint: The total gallons of frozen yogurt and ice cream should not exceed the available freezer space of 115 gallons.

  Space Constraint: Y + I ≤ 115

3. Ice cream sales constraint: The weekly ice cream sales should be at least twice the frozen yogurt sales.

  Ice Cream Sales Constraint: I ≥ 2Y

4. Non-negativity constraint: The number of gallons for both products cannot be negative.

  Non-negativity Constraint: Y ≥ 0, I ≥ 0

The model using graphical analysis, we can plot the constraints on a graph and find the feasible region. Then, we can evaluate the objective function at each corner point of the feasible region to determine the optimal solution.

Since the constraints involve three variables (Y, I, and Z), it is not feasible to graphically represent the entire feasible region in three dimensions.

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For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

rhhhhhhhj6hybybtvth5vtv

Answer:

612 cm²

Step-by-step explanation:

Total surface area = area of all the nets in that make up the shape

✔️There are 2 equal rectangles of the following dimensions:

L = 10 cm

W = 4 cm

Area = 2(10*4) = 80 cm²

✔️There are 2 equal rectangles of the following dimensions:

L = 10 cm

W = 17 cm

Area = 2(10*17) = 340 cm²

✔️There are 2 equal rectangles of the following dimensions:

L = 4 cm

W = 17 cm

Area = 2(17*4) = 136 cm²

✅Total surface area = 80 + 340 + 136 = 612 cm²

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Let x be the weight of the candy in pounds, then 0.9x is the weight of the milk chocolate in pounds

The weight of the caramels in the candy is 3 pounds, so

An equation that can be used find the total number of pounds of milk chocolate and caramels in the candy is

0.9x + 3 = x ⇒ x = 30

So there are 0.9(30) = 27 pounds of milk chocolate in the candy.

hope this helps

The greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

From the given table, (0, 5) and (5, 15)

Here, slope(m)=(y2-y1)/(x2-x1) =(15-5)/(5-0)

= 10/5

= 2

Substitute m=2, (x, y)=(0, 5) in y=mx+c, we get

5=2(0)+c

c=5

Substitute m=2, c=5 in y=mx+c, we get

y=2x+5 --------(I)

From the graph, (-4, 0) and (0, 6)

Here, slope(m)=(6-0)/(0+4)

= 3/2

= 1.5

Substitute m=1.5, (x, y)=(0, 6) in y=mx+c, we get

6=1.5(0)+c

c=6

Substitute m=1.5, c=6 in y=mx+c, we get

y=1.5x+6 --------(II)

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.

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The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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Answer: The answer is 57 square feet.

Step-by-step explanation:

First, you start with the triangle. You do 4 * 6 which is 24. After that, you divide that by 2, which would be 12. Now you go to the square 7.5 * 6 which is 45. Then you add 12 and 45. Then you have your answer!

Answer:

It’s D, 55.

Step-by-step explanation:

After running 45 meters, Juliet runs 55 meters from the beginning of the track

Answer:

x=5×15÷3=25

and x is 15

Answer:

1.25 is your answer, Since the zeros are just place holders

Step-by-step explanation:

hope this helps!

Have a good day.

Like fractions are fractions with the same denominator.EX - \(\frac{2}{5}\)   &\(\frac{4}{5}\).Unlike fractions are fractions with different denominators. EX-\(\frac{3}{4}\)&\(\frac{5}{7}\).

An element of a whole is a fraction. The quantity is mathematically represented as a fraction, in which the numerator and denominator are split in half. Both are integers in a simple fraction. The numerator or the denominator of a complex fraction both contain a fraction.

These three categories are proper fractions, improper fractions, and mixed fractions. Fractions are expressions that have a numerator and a denominator. These two words are used to classify its types.

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Answer:the answer is 1

Step-by-step explanation: 7+11=18

The percentage of total variation in the dependent variable that is described by the independent variable is expressed by coefficient of determination . So, correct answer is option (a).

The coefficient of determination R² is equal to the square of the correlation coefficient, r² expressed as a percentage, represents the percentage of variation in the dependent variable y that can be explained by variation in the independent variable x using the regression line. Coefficient of determination is a statistical measure that examines how differences in one variable can be explained by differences in her second variable. In other words, this coefficient, commonly known as R-squared (or R²), measures how strong the linear relationship between two variables is. This coefficient is commonly known as the R-square (or R²) and is sometimes called the "goodness of fit". This measurement is expressed as a value between 0.0 and 1.0..

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Answer:

\((y + 6)(y - 6) = {y}^{2} - 36\)

My brother, who is always pushing my buttons, keeps taking my things.

State-​ment ˈ : something stated: such as. : a single declaration or remark : assertion. : a report of facts or opinions. : the act or process of stating or presenting orally or on paper.

Here , the required answer is.

My brother, who is always pushing my buttons, keeps taking my things.

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Answer:

with?

Step-by-step explanation:

Answer:

Um  where is the question?

Step-by-step explanation:

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Using the percentages we know that the required sales tax percentage in the given situation is 1%.

A sales tax is a fee that is paid to the government when specified goods and services are sold. T

Typically, laws permit the vendor to charge the customer the tax at the time of purchase.

When a tax on goods or services is paid to a governing body directly by a customer, it is commonly called a usage tax.

The sale and use tax is frequently exempted for some goods and services, including food, education, and medical.

A sales tax is similar to a value-added tax (VAT) that is levied on products and services.

Key distinctions can be found in the comparison with sales tax.

So, the sales tax percentage would be:

= 0.55/55*100

= 0.01

= 1%

Therefore, using the percentages we know that the required sales tax percentage in the given situation is 1%.

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Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes: