Which expression is equivalent to 5 + 5t + 3t + 7?

To find the measure of angle BOC, set the expressions for m∠AOD and m∠BOC equal and solve for x. Then substitute the value of x back into the expression for m∠BOC to find its measure, which is 30°.

To find the measure of angle BOC, we can set the expressions for m∠AOD and m∠BOC equal to each other and solve for x.

7x - 5 = 3x + 15

Subtract 3x from both sides: 4x - 5 = 15

Add 5 to both sides: 4x = 20

Divide both sides by 4: x = 5

Now that we know x = 5, we can substitute it back into the expression for m∠BOC to find its measure.

m∠BOC = (3x + 15)° = (3*5 + 15)° = 30°

Therefore, the measure of ∠BOC is 30°, which corresponds to option B.

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The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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Answer:

k = g + a

Step-by-step explanation:

g = k - a ( add a to both sides )

g + a = k , that is

k = g + a

There are several possible reasons why per capita per day water consumption could be higher than the wastewater generated:

Non-domestic water use: Per capita water usage includes not only water used in households but also water used for commercial, industrial, and agricultural purposes. Wastewater, on the other hand, only includes water that has been used in households and is discharged into the sewer system. Therefore, if there is significant non-domestic water use in the area, per capita water usage could be higher than wastewater generated.

Inefficient water use: Even though per capita water usage is high, some of the water used may not end up in the wastewater stream. For example, water may be used for landscaping or irrigation, and much of it could evaporate or soak into the ground before it reaches the sewer system. This would result in higher water usage than wastewater generated.

Water loss: The water distribution system may experience leaks or other losses, resulting in some of the water being lost before it reaches households or other water users. This would result in higher water usage than wastewater generated.

Infiltration and inflow: In some cases, rainwater or groundwater can infiltrate into the sewer system or inflow into wastewater treatment plants, increasing the volume of wastewater generated. This could result in lower wastewater generated than per capita water usage.

Time lag: There may be a time lag between water usage and wastewater generated, especially in areas with septic systems. It is possible that some of the water used today may not be discharged into the sewer system for several days or even weeks, resulting in higher per capita water usage than wastewater generated on any given day.

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Answer: x = 4

Step-by-step explanation:

You basically want to solve for the angle A. Do arcsin of 1/3, which is approximately 19.47 degrees. In this triangle, we are missing the adjacent and opposite, but we do have the angle luckily. Lets use SOH-CAH-TOA.

\(sin(theta) = \frac{opposite}{hypotenuse}\)

We can see here that doing sine will give us the length of the opposite

\(sin19.47 = \frac{x}{12}\). Do sine of 19.47, then multiply by 12. I got 4

Answer:

Step-by-step explanation:

The maximum value of the data in the box-and-whisker plot is 75.

A box-and-whisker plot is a standardized representation of statistical data on a plot using a rectangle drawn to represent the distribution of data under five summaries: “minimum”, first quartile [Q1], median, third quartile [Q3], and “maximum.”

The inside vertical line indicates the median value while the lower and upper quartiles are horizontal lines on either side of the rectangle.

Minimum value = 10
Median = 35

Maximum value = 75

Thus, the maximum value, which shows the end of the line, of the data distribution of this box-and-whisker plot is 75.

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Answer:

it is the 3rd one

Step-by-step explanation:

Answer:

it's e/g

Step-by-step explanation:

adjacent/hypotenuse

the third option, as stated by someone else, is hypotenuse/adjacent, makig it incorrect

The given expression, 9x + 12, can be classified as a D. Linear binomial.

It is a binomial because it consists of two terms (9x and 12), and it is linear because the highest power of the variable x is 1. A polynomial with two terms whose variable has degree. A monomial is a polynomial with exactly one term, a binomial is a polynomial with exactly two terms, and a trinomial is a polynomial with exactly three terms. A binomial is a polynomial that is the sum of two terms, each of which is a monomial. It is the simplest kind of a sparse polynomial after the monomials. A binomial is a polynomial which is the sum of two monomials. A binomial in a single indeterminate also known as a univariate binomial.

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Answer:

1) is height(age)

2) should be shipping(distance)

3) g(8) = 28

4) f(3) = 18

Step-by-step explanation:

plug in 8 as x. 5(8)- 12 --> 40 -12 = 28.

plug in 3 as x. 2x² --> 2(3)^2--> 2(9) = 18.

To find the perimeter of triangle MNP, we need to find the lengths of MP, NP, and MN. Part A Answer: NP ≈ 23.04 inches;Part B Answer: The perimeter of MNP is ≈ 52.64 inches.

Since triangles LMN and MNP are similar, we have:\(NP / MN = MP / LN\).

Let x be the length of MP, which is also the length of LN. Then, we have:\(NP / x = x / 8\)

Simplifying, we get:\(NP = (x^2) / 8\)

We know that MP = x and MN = 16, so we just need to find NP in terms of x.

Using the equation above, we have:\(NP = (x^2) / 8\)

To find x, we can use the fact that the perimeter of triangle LMN is 43.2 inches. The perimeter of a triangle is the sum of the lengths of its sides, so we have:\(LM + MN + LN = 43.2\)

\(x + 16 + x = 43.2\)

\(2x + 16 = 43.2\)

\(2x = 27.2x = 13.6\)

\(NP = (13.6^2) / 8 \\=23.04 inches\)

The perimeter of triangle MNP is:

\(≈ 13.6 + 23.04 + 16\)=\(=52.64 inches\)

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Answer:

B

Step-by-step explanation:

A^2+B^2=C^2

The assumption of linear regression that is not also an assumption of ANOVA is C. Both the independent variable and the dependent variable must be numeric.

The statistical technique known as Analysis of Variance or ANOVA is used to assess if there are significant differences between the means of two or more groups. Both the independent variables and the dependent variable are anticipated to be numerical in linear regression. Modelling the connection between numerical independent variables and a numerical dependent variable is the goal of linear regression.

However, in the concept of ANOVA, all independent variables are often numerical, but the dependent variable is typically categorical or group-based. ANOVA is used to compare averages across different groups and evaluate how category factors affect a numerical result.

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The cone company that offers a better deal is the sugar cone factory because the volume of ice-cream it can contain is bigger than the Coney Island factory ice-cream cones.

To determine the volume of the cones, the formula that should be used would be given below as follows. That is;

Volume of cone = 1/3πr²h

For sugar cone factory:

Radius = 3cm

Height = 10cm

The volume of their ice-cream cone = 1/3× 3.14× 3×3×10

= 94.2cm³

For Coney Island;

Radius = diameter/2 = 5/2 = 2.5cm

Height = 14

The volume = 1/3×3.14×2.5×2.5×14

= 274.75/3= 91.6cm³

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Answer:

y=3x+2

Step-by-step explanation:

For the inference in part b to be valid, the conditions required are reasonable satisfaction.

To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.

However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.

These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.

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Answer:

C 14

Step-by-step explanation:

Answer:

when we add two negative numbers the result will always be a negative number, on adding negative numbers the direction of the move will always be to the left side

hope this helps!

Answer:

747+9+83=839

Step-by-step explanation:

We can use 9x83=747 as a extra help to get the answer. Say you need the answer above (which I gave you) so you get 9x83 as an example to help figure out 749+9+83=839.

The the height of the rectangle 6.3cm

A rectangle is a polygon of four sides whose opposite sides are equall and parallel

The given parameters that will help us to solve for the height are

the area of a rectangle is the space the rectangle occupies

The area is denoted by :

Area= Lenght * Height

245 = 39 * h

h= 245/39

Height = 6.3cm

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A correlation coefficient is a numerical index that reflects the relationship between two variables.

A correlation coefficient is a statistical measure that quantifies the strength and direction of the linear relationship between two variables.

The correlation coefficient ranges from -1 to +1, where -1 indicates a perfectly negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfectly positive linear relationship of two variables.

The correlation coefficient is calculated using a formula that takes into account the covariance and standard deviations of the two variables.

It is commonly used in many fields, such as psychology, economics, and biology, to explore and understand the association between two variables.

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The population of the town in 5 years will be approximately 28,982.

A data pattern known as exponential growth exhibits faster expansion over time. Compounding generates exponential profits in finance. Exponential growth is possible in savings accounts with a compounding interest rate. Compound returns in finance lead to exponential development. One of the most potent forces in finance is the power of compounding. With the help of this idea, investors may generate sizable sums with little start-up money. Compound interest savings accounts are typical instances of exponential development.

Given that, population of a town increases by 3% each year.

The population after 5 years is calculated by:

Population in 5 years = Initial population x (1 + rate) raised to time.

That is,

Population in 5 years = 25,000 x (1 + 0.03)⁵

Population in 5 years = 25,000 x 1.159274

Population in 5 years = 28,981.85

Hence, the population of the town in 5 years will be approximately 28,982.

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Answer:

31 bags

Step-by-step explanation:

Divide.

975 / 32 = 30.4

Because Carrie needs at least 975 pounds of mulch, and when you divide, there is 0.4 more bags than 30, you have to round up to 31 bags, to be sure that Carrie has enough.

The expression is simplified to x⁴y⁴z⁴

Algebraic expressions are defined as expressions that are made up of coefficients, terms, variables, constants and factors.

These expressions are also made up of arithmetic operations or mathematical operations.

These operations are listed thus;

From the information given, we have that;

(x²yz)²(xy²z²)²/(xyz)²

expand the bracket, we get;

(x⁴y²z²)(x²y⁴z⁴)/x²y²z²

Factor the common terms, we get;

x²y²z²(x²)(y²z²)

Multiply the values, and expand the bracket, we have;

x⁴y⁴z⁴

Hence, the expression in its simplified form is given as x⁴y⁴z⁴

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The largest possible domain of W(t) is [0, 300].

Levi has 5 hours to work on a research paper and he can type 80 words per minute. The function W(t) = 80t represents the number of words Levi produces in t minutes of typing. We want to find the largest possible domain of W(t). The domain of W(t) is the set of all possible input values of t that make the function W(t) defined. So, we need to find out the maximum number of minutes Levi can work for. We know that he has 5 hours to work, and there are 60 minutes in one hour.

Therefore, he has a total of: 5 hours × 60 minutes/hour = 300 minutes Thus, the domain of W(t) is the set of all real numbers between 0 and 300 inclusive. We include 0 because Levi can type for 0 minutes (i.e. he hasn't started typing yet), and we include 300 because that's the maximum number of minutes he has available to type in. Hence, the largest possible domain of W(t) is [0, 300].

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Answer:

steps below

Step-by-step explanation:

AB = DC, AE=DE, ∠BAE = ∠CDE = 90°

ΔBAE ≅ ΔCDE   (SAS)

BE = CE   .. corresponding sides of congruent triangles

∠EBC = ∠ECB  ... base angles of isosceles triangle

∠ABC = ∠ABE + ∠EBC = ∠DCE + ∠ECB = ∠DCB

∠ABC + ∠DCB = 360° - ∠CDE - ∠BAE = 360° - 180° = 180°

∠ABC = ∠ DCB = 1/2 * 180° = 90°

∴ ABCD is rectangle

the correct answer is:

A) f(x) = x^2

B) g(x) = 1.2x^2

To determine which functions have an average rate of change over the interval 1 < x < 5 that is less than the average rate of change for the function g(x) = 1.8x^2, we need to compare the slopes of the different functions.

The average rate of change of a function over an interval is given by the slope of the secant line connecting the two endpoints of the interval.

For a function of the form f(x) = ax^2, the slope of the secant line between two points x1 and x2 is given by:

slope = (f(x2) - f(x1)) / (x2 - x1)

Comparing the slopes of the given functions:

A) f(x) = x^2:

The slope is (f(5) - f(1)) / (5 - 1) = (25 - 1) / 4 = 6

B) g(x) = 1.2x^2:

The slope is (g(5) - g(1)) / (5 - 1) = (30 - 1.2) / 4 = 7.2

C) h(x) = 1.9x^2:

The slope is (h(5) - h(1)) / (5 - 1) = (47.5 - 1.9) / 4 = 11.4

D) k(x) = 2x^2:

The slope is (k(5) - k(1)) / (5 - 1) = (50 - 2) / 4 = 12

From the above calculations, we can see that the average rate of change over the interval 1 < x < 5 is less than the average rate of change for the function g(x) = 1.8x^2 for functions A) f(x) = x^2 and B) g(x) = 1.2x^2.

Therefore, the correct answer is:

A) f(x) = x^2

B) g(x) = 1.2x^2

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Answer:

QR= 45cm

Step-by-step explanation: trust cuh