HELP MEHHHH DUE TODAY!!!
1. Explain the difference between using the cosine ratio to solve for a missing angle in a right triangle versus using the secant ratio. You must use complete sentences and any evidence needed (such as an example) to prove your point of view. (10 points)

2. Is a picture

3. is a picture

HELP MEHHHH DUE TODAY!!!1. Explain The Difference Between Using The Cosine Ratio To Solve For A Missing
HELP MEHHHH DUE TODAY!!!1. Explain The Difference Between Using The Cosine Ratio To Solve For A Missing

Answers

Answer 1

Answer:

number 1 is 60 number 2 is 9750

Step-by-step explanation:

dont delete


Related Questions

A two-sample t-test for a difference in means will be conducted to investigate whether the average length of a cell phone call is shorter this year compared with 5 years ago. From a random sample of 35 phone call records this year, the average length was 25 minutes with a standard deviation of 4 minutes. From a random sample of 32 phone call records from 5 years ago, the average length was 27 minutes with a standard deviation of 5 minutes. The difference (this year minus five years ago) in means will be calculated With a null hypothesis of no difference in length, which of the following is a correct test statistic for the test?
A. t = 25-27/(√4^2/35+5^2/32)
B. t = 25-27/(√4/35+5/32)
C. t = 25-27/(√4^2/35+√5^2/32)
D. t = 27-25/(√4^2/35+5^2/32)
E. t = 27-25/(√4/35+5/32)

Answers

The correct test statistic is: A. t = (25-27)/(√4²/35+5²/32)

What is test statistic?

The correct test statistic for the two-sample t-test is:

t = (x1 - x2) / √[s1²/n1 + s2²/n2]

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Using the given values, we have:

x1 = 25, x2 = 27, s1 = 4, s2 = 5, n1 = 35, n2 = 32

Substituting these values into the formula, we get:

t = (25 - 27) / √[(4²/35) + (5²/32)]

Simplifying, we get:

t = -2 / √[0.4632 + 0.7813]

t ≈ -2.64

Therefore, the correct test statistic is:

A. t = (25-27)/(√4²/35+5²/32)

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What is the measure of angle DFE?

29°
32°
58°
64°

What is the measure of angle DFE?29325864

Answers

Answer:

The answer is 64 degrees

Step-by-step explanation:

D on edg

Answer:

D- 64 degrees

Step-by-step explanation:

The triangles shown below must be congruent.

True or false

The triangles shown below must be congruent. True or false

Answers

Answer:

true

Step-by-step explanation:

they're not dilated in anyway.

True is the answer .....

tripling the linear size of an object multiplies its area by

Answers

Tripling the linear size of an object multiplies its area by a factor of nine.

When the linear size of an object is tripled, the area of the object is multiplied by 9.

This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.

Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:

A' = (3L)^2

A' = 9L^2

Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.

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Pre-LAB ASSIGNMENT After teading through the introduction and skimming the procedure, complete the pre-lab assignment, which is to be handed in at the beginning of lab class session. INTRODUCTION Chemical reactions are often accompanied by formation of a precipitate, evolution of a gas, a change in color, and/or a pronounced temperature change. In this experiment, you will observe these characteristics of chemical reactions as copper is cycled through a series of reactions that produce a number of compounds. The cycle begins with cogysr metal and ends with cogner metal. Because no copper is added or removed between the beginning and end of the experiment, and because each reaction goes to completion, you should theoretically be able to quantitatively recover all the copper you stanted with as long as you are careful and skillful. This is an example of the law of conservation of matter, which states that matter is neither created nor destroyed during a chemical reaction. In the end, you will compare the mass of the copper you recovered to the mass of your starting material to determine how well you were able to carry out the experimental techniques with the equipment available. Three major types of reactions are encountered in this experiment, including precipitation reactions, redox reactions, and acid-base reactions. Precipitation reactions result in the formation of a solid when two solutions are mixed. The solid is called a precipitate (ppt). You observed several examples of this type of resction in the last experiment. Redox reactions involve the transfer of electrons from one chemical substance to another. As a result of the process, one substance loses electrons and another gains them. The substance that loses electrons becomes more positive in charge, and is said to be oxidized. The substance gaining electrons becomes more negative in charge and is said to be reduced. "Redox" is a combination of these terms. Redox reactions often involve the reduction (Cu
2+
to Cu) or the oxidation (Cu
to
Cu
2
) of a metal. Acid-base reactions in general are reactions involving a transfer of hydrogen ions, H
’.
. from an acid substance to another substance - the base. If a reaction yoa observe in this experiment does not involve a precipitate or redox, then it is likely an acid-base H
+
transfer. Look to see if an acid or base substance is one of the reactants involved. As you carry out each step of the cycle of copper reactions think about what is happening in each reaction, and try to fit it into one of the three categories just deseribed. Along the way. you will ste how a single element and its ions can exhibit different colors depending both on the charge on the ion and the nature of its environment. SAFETY Safety information for this lab is mentioned throughoat the procetare, Be sure to pay attention to the safety concerns, Wear gloves! PRE-LAB #5: CHEMICAL REACTIONS OF COPPER: NAME: 1. What is/are the Question(s) of the Day? 2. Balance all five reactions listed in the procedure. (Write it in the procedure, not here). 3. Write the chemical equation for the reaction of copper (II) hydroxide and hydrochloric acid to give copper (II) chloride and water (note: don't forget to balance). This is an example of an acid-base reaction. Label the acid and the base reactants. 4. Write the formula and name for the solid that copper (HI) hydroxide becomes when beated. 5. Watch the video posted on Brightspace to revicw about how to properly use an analytical balance. Outline the key steps below and state how many decimal places can be measured (are signiffeant) with this type of balance? How many decimal places can be measure with a standardrop-loading balance? 6. A student was given a sample of Cu wire that weighed 0.3015 grams, After completing the experiment, she recovered only 0.2331 grams of solid copper. What was her percent recovery? See Tutorial 1, p. 140 in this lab manual.

Answers

The main questions in the pre-lab assignment are:

1. What is/are the Question(s) of the Day?

2. Balance all five reactions listed in the procedure.

3. Write the chemical equation for the reaction of copper (II) hydroxide and hydrochloric acid to give copper (II) chloride and water.

4. Write the formula and name for the solid that copper (II) hydroxide becomes when heated.

5. Outline the key steps for properly using an analytical balance and indicate the number of decimal places that can be measured.

6. Calculate the percent recovery for a student who obtained 0.2331 grams of solid copper from a sample that initially weighed 0.3015 grams.

In the given pre-lab assignment, there are several questions and tasks related to the upcoming lab session on the chemical reactions of copper. The first question asks about the "Question(s) of the Day," which is not explicitly mentioned in the provided text. It might refer to the specific focus or objectives of the lab session.

The second task requires balancing all five reactions listed in the procedure, which is expected to be completed in the designated procedure section of the assignment, not in this particular section.

The third question asks to write the chemical equation for the reaction between copper (II) hydroxide and hydrochloric acid, producing copper (II) chloride and water. This reaction is an example of an acid-base reaction. In the equation, it is important to label the acid and base reactants.

The fourth task involves writing the formula and name for the solid that copper (II) hydroxide becomes when heated. The provided information does not mention the exact outcome, so it might be necessary to refer to additional resources or experimental data to determine the formula and name of the resulting solid.

The fifth task is to outline the key steps for properly using an analytical balance. The explanation should also include the number of decimal places that can be measured with this type of balance. It is important to follow the guidelines provided in the video posted on Brightspace, which will likely cover the necessary steps for accurate measurements using an analytical balance.

The final task involves calculating the percent recovery for a student who obtained 0.2331 grams of solid copper from a sample initially weighing 0.3015 grams. The formula for percent recovery is determined by dividing the actual yield (0.2331 g) by the theoretical yield (0.3015 g) and multiplying by 100%. The resulting percentage indicates how successful the student was in recovering the copper.

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Mrs. Dominguez has $9,400 to deposit into two different investment accounts. Mrs. Dominguez will deposit $3,500 into Account I, which earns 6. 5% annual simple interest She will deposit $5,900 into Account II, which earns 6% interest compounded annually. Mrs. Dominguez will not make any additional deposits or withdrawals. What is the total balance of these two accounts at the end of ten years? DE 10​

Answers

Answer:

Step-by-step explanation:

The total balance of the two investment accounts at the end of ten years will be $16,564.08. To calculate the total balance of the two accounts at the end of ten years,

we need to use the formulas for simple interest and compound interest.

For Account I, the simple interest formula is:

I = Prt

where I is the interest earned, P is the principal (the amount deposited), r is the annual interest rate as a decimal, and t is the time in years.

Plugging in the values for Account I, we get:

I = (3500)(0.065)(10) = $2,275

So, after ten years, the balance in Account I will be:

B1 = P + I = 3500 + 2275 = $5,775

For Account II, the compound interest formula is:

A = P(1 + r/n)^(nt)

where A is the balance at the end of the time period, P is the principal, r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time in years.

Plugging in the values for Account II, we get:

A = 5900(1 + 0.06/1)^(1*10) = $10,789.08

So, after ten years, the balance in Account II will be $10,789.08.

Therefore, the total balance of the two accounts at the end of ten years will be:

Total balance = Balance in Account I + Balance in Account II

= $5,775 + $10,789.08

= $16,564.08

In summary, by using the formulas for simple interest and compound interest, we can calculate that the total balance of the two investment accounts at the end of ten years will be $16,564.08.

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What is the solution to this equation? −4(x−11)=56
I need help!! pls

Answers

the answer is -3
ur welcome
the answer is x = -3

What’s the answer help pls

Whats the answer help pls

Answers

6a^5b^2 is the answer

What is (f + g)(x)?f(x) = x + 1g(x) = 3x²Write your answer as a polynomial or a rational function in simplest form.

What is (f + g)(x)?f(x) = x + 1g(x) = 3xWrite your answer as a polynomial or a rational function in simplest

Answers

Given:

f(x) = x + 1

g(x) = 3x²

To find (f + g)(x), sum the like terms of the function.

(f + g)(x) = f(x) + g(x) = x + 1 + 3x²

(f + g)(x) = 3x² + x + 1

Answer: 3x² + x + 1

T = 3x + 4y
x = 5
y=-3
(a) Work out the value of T.
(b) Expand 3g(8 + 3)

Answers

Answer :

A.) let's solve for T :

T = 3x + 4y

plugging in the values of x and y,

T = (3 × 5) + (4 × -3)

T = 15 - 12

T = 3

value of T = 3

B.) Expansion of 3g(8 + 3)

3g (8 + 3)

3g (11)

33g

that's all...

explain how you could use a number line to determine the absolute value of -13. then, determine the absolute value.

Answers

To determine the absolute value of -13 using a number line, we would first locate the number -13 on the number line. Then, we would measure the distance between -13 and 0 (the origin of the number line) using units of the same size.

This distance would represent the absolute value of -13, In this case, the distance between -13 and 0 on the number line is 13 units. Therefore, the absolute value of -13 is 13, To use a number line to determine the absolute value of -13, follow these steps:

1. Locate the number -13 on the number line.
2. Measure the distance from -13 to 0. This distance represents the absolute value.
3. Count the number of units from -13 to 0. You will find that the distance is 13 units.

The absolute value of -13 is 13.

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1
Multiply. Show your work on the visual model.


0.7 x 0.4

Answers

Answer:

The answer to your question is, 0.28

Step-by-step explanation:

First you can think of decimals as a whole number for easier multipaction.

The problem written out in whole number form:

7 x 4 = ?

So lets find out the answer, 7 x 4 =

28.

Since it is in the tenths form divde it by 100, Because it is also in regular tencths form as well so we have to go down 3 times.

28 / 100 =

0.28.

Thus the answer to your question is, 0.28

Answer: 7/25.     (or).       0.28

Step-by-step explanation: 7 x 4 = 28, so 0.4 x 0.7 basically mean the same as 7 x 4.

2. Explain how to find the surface area of any prism.​

Answers

To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for the area of the base of the prism, p stands for the perimeter of the base, and h stands for height of the prism.
2. Explain how to find the surface area of any prism.

Please answer this and simplify

Please answer this and simplify

Answers

Answer:

volume = x(x+2)(2x+1) = 2x^3+5x^2+2x

a = 2

b = 3

c = 5

d = 2

e = 2

f = 1

Volume=x(x+2)(2x+1)=2x3+5x2+2x

A=2.

B=3

C=5

D=2

E=2

F=1

$1000 is due in 3 months and $1600 is due in 6 months. your creditor will accept a cash settlement of both debts now. use a simple interest rate of 4.5 nd determine what the cash settlement will be.

Answers

The cash settlement for both debts using a simple interest rate of 4.5% will be approximately $2553.

To determine the cash settlement for both debts, we need to first calculate the present value of each debt using the simple interest formula, and then sum them up.

Step 1: Convert the interest rate from percentage to decimal.
Interest rate = 4.5% = 0.045

Step 2: Calculate the present value of the first debt ($1000 due in 3 months).
PV1 = Future Value / (1 + (interest rate × time period))
PV1 = $1000 / (1 + (0.045 × (3/12)))
PV1 = $1000 / (1 + 0.01125)
PV1 ≈ $988.89

Step 3: Calculate the present value of the second debt ($1600 due in 6 months).
PV2 = Future Value / (1 + (interest rate × time period))
PV2 = $1600 / (1 + (0.045 × (6/12)))
PV2 = $1600 / (1 + 0.0225)
PV2 ≈ $1564.10

Step 4: Add the present values of both debts to find the cash settlement.
Cash Settlement = PV1 + PV2
Cash Settlement = $988.89 + $1564.10
Cash Settlement ≈ $2553

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Given a+b=7 and a-b=3, find the following

3^a÷3^b

Answers

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27.

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27

The points (4, -17) and (8, r) lie on a line with slope 5. Find the missing coordinate r.

Answers

Answer:

The missing coordinate, 'r', is 3

Step-by-step explanation:

The given parameters of the two points are;

The coordinates of the given points = (4, -17) and (8, r)

The slope of the line on which the two points lie, m = 5

The formula for finding the slope of a line is given as follows;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Therefore, we have;

\(m =5 = \dfrac{r-(-17)}{8-4} = \dfrac{r + 17}{4}\)

\(5 = \dfrac{r + 17}{4}\)

5 × 4 = r + 17

r = 20 - 17 = 3

r = 3

Find 5 003² without using a calculator

Answers

Answer:

25 030 009

Step-by-step explanation:

5003 x 5003 = 25030009

in a linear regression model, the variable (or variables) used for predicting or explaining values of the response variable are known as the . it(they) is(are) denoted by x. a. dependent variable b. residual variable c. regression variable d. independent variable

Answers

In a linear regression model, the variable (or variables) used for predicting or explaining values of the response variable are known as the  independent variable. It(they) is(are) denoted by x.

The correct answer is an option (d)

For given question,

The variable that researchers are trying to explain or predict is called the

response variable. It is also sometimes called the dependent variable

because it depends on another variable.

The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.

In regression, the order of the variables is very important.

The explanatory variable (or the independent variable) always belongs on the x-axis. The response variable (or the dependent variable) always belongs on the y-axis.

Therefore, in a linear regression model, the variable (or variables) used for predicting or explaining values of the response variable are known as the  independent variable. It(they) is(are) denoted by x.

The correct answer is an option (d)

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Research has shown that competent communicators achieve effectiveness by
a. using the same types of behavior in a wide variety of situations.
b. developing large vocabularies.
c. apologizing when they offend others.
d. giving lots of feedback.
e. adjusting their behaviors to the person and situation.

Answers

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Final answer:

Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Explanation:

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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Please answer thank you so much

Please answer thank you so much

Answers

Answer:

2.85 and 3.45

Step-by-step explanation:

it gpea by 20s I think

Question 2
What are the lengths of AD, DB, AE, and EC? Measure and record them.

Question 2What are the lengths of AD, DB, AE, and EC? Measure and record them.

Answers

is there a picture of a graph or something?

is there a picture of a graph or chart or something?

Sin Cos Tan
Geometry

Sin Cos TanGeometry

Answers

The trigonometric ratios for each triangles are:

Triangle 1:
Cos A = 4/5; Sin A = 3/5; Tan A = 3/4
Cos C = 3/5; sin C = 4/5; Tan C = 4/3Triangle 2:
Cos A = 3/5; Sin  A = 4/5; tan A = 4/3
Cos C = 4/5; Sin A = 3/5; tan C = 3/4Triangle 3:
cos A = 15/17; sin A = 8/17; tan A = 8/15
cos C = 8/17; sin C = 15/17; tan C = 15/8

Please note that all angles B are the right angle, then:

cos B = 1; sin B = 0; tan B = -

The trigonometric ratio of sin, cos, tan, can be formulated as:

(please refer to the attached triangle below for reference)

cos A = side adjacent to A / Hypotenuse

Cos A = b/c

Sin A = side opposite to A / Hypotenuse

Sin A = a/b

Tan A = Side opposite to A / Side adjacent to A

Tan A = a/b

From these formulas, we can find that:

Triangle 1

Cos A = 40/50 = 4/5

Sin A = 30/50 = 3/5

Tan A = 30/40 = 3/4

Cos C = 30/50 = 3/5

Sin C = 40/50 = 4/5

Tan C = 40/30 = 4/3

Triangle 2

Cos A = 27/45 = 3/5

Sin A = 36/45 = 4/5

Tan A = 36/27 = 4/3

Cos C = 36/45 = 4/5

Sin C = 27/45 = 3/5

Tan C= 27/36 = 3/4

Triangle 3

Cos A = 15/17

Sin A = 8/15

Tan A = 8/15

Cos C = 8/17

Sin C = 15/17

Tan C = 15/8

Please note that all angle B on the three triangles are all a right angle, then:

Cos B = 1

Sin B = 0

Tan B = -

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Sin Cos TanGeometry

Shade the portion of the diagram that illustrates the set. A ∪ B ∩ C

Answers

The portion of the diagram that illustrated the set A ∪ B ∩ C is given on the  image presented at the end of the answer.

How to shade the set?

The union operation, symbolized by U, is composed by the elements that belong to at least one of the sets.

The intersection operation, symbolized by ∩, is composed by the elements that belong to all the sets.

Hence, for the set A ∪ B ∩ C, the requirements are given as follows:

Element belongs to either set A or set B.Element belongs to set C.

The shaded region corresponding to the operation is given at the end of the answer.

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It requires approximately 9 mL of polyethylene to create 24 plastic bags. What is the rate of polyethylene used per plastic bag?

Answers

Answer:

0.375mL/polyethylene

Step-by-step explanation:

Total number of plastic bags = 24 plastic bags

amount of polyethylene created = 9mL

This means that;

24 plastic bags = 9mL of polyethylene

1 plastic bags = x

Cross multiply

24 * x = 9 * 1

24x = 9

x = 9/24

x = 0.375mL/polyethylene

Hence the rate of polyethylene used per plastic bag is 0.375mL/polyethylene

Brittany bought 14 seeds she can plant 3 in a row. How many rows can she plant? Brittany can plant _____ rows. How many seeds are left?

Answers

Answer:

about 5 rows

Step-by-step explanation:

14 divided by 3= 4.7 but since you can’t have 4.7 rows I rounded it to 5 rows. You can’t have 4 rows because then there would be 2 seeds remainin.

Answer:

Brittany can plant 4 rows and she will have 2 seeds left

Step-by-step explanation:

Fourteen divided by 3 will give you a mixed fraction.

So you can do 3*4= 12

If you do 14-12 you will get 2 seeds that remain.

g(x) = 13.2x³ + 3x4 -x-4.4

Answers

The given polynomial has a degree of 4, the leading coefficient is 3, and the constant is 4.4.

What is a polynomial?

A polynomial is an algebraic expression with terms that are the combination of variables, coefficients, and constants.

The highest power of the variable is said to be the degree of the polynomial.The coefficient of the highest power variable is said to be the leading coefficient.

Calculation:

The given polynomial is

g(x) = 13.2x³ + 3x⁴ - x - 4.4

The highest power of the variable x is 4. So, the degree of the variable is 4.

Then, the leading coefficient is 3.

The constant on the given polynomial is 4.4.

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: For the given polynomial, identify the degree, leading coefficient, and the constant value.

g(x) = 13.2x³ + 3x⁴ - x - 4.4

Mr. Krasa shipped a box of math textbooks and novels to a colleague. Each mathbook weighed 2.5 pounds, and each novel weighed 1.25 pounds. There were a total of1 8 books, with a total weight of 31.25 pounds. Write a system of equations that models this scenario. Identify your variables.

Answers

The system of equations that models the given scenario is:\($\begin{cases} x + y = 18 \\ 2.5x + 1.25y = 31.25 \end{cases}$\)

The variables are "x" and "y", representing the number of math textbooks and novels shipped by Mr. Krasa, respectively.

Let "x" be the number of math textbooks shipped by Mr. Krasa and "y" be the number of novels he shipped as well.

With this, we can represent the following equations to model this scenario.

"x" stand for the quantity of maths textbooks that Mr Krasa sent, and "y" for the quantity of novels that he also sent.

We may construct the equations below as follows to replicate this situation: number of books sent.

The number of books shipped:

x + y = 18

The total weight of books shipped:

2.5x + 1.25y = 31.25

Therefore, the system of equations that models the given scenario is:\($\begin{cases} x + y = 18 \\ 2.5x + 1.25y = 31.25 \end{cases}$\)

The variables are "x" and "y", representing the number of math textbooks and novels shipped by Mr. Krasa, respectively.

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What is the answer to the question below

What is the answer to the question below

Answers

The distance between the two given points coordinates is; Option C: √85

How to find the distance between two coordinates?

Formula for the distance between two coordinates is;

d = √((x₂ - x₁)² + (y₂ - y₁)²)

We are given the coordinates as;

(-2, 3) and (5, -3). Thus;

d = √((-2 - 5)² + (-3 - 3)²)

d = √(49 + 36)

d = √85

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A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.

What is the probability of randomly selecting a tree or a flower?

Answers

To find the probability of randomly selecting a tree or a flower from the stack of 30 science flashcards, we need to first determine the total number of tree and flower cards. Since there are 8 tree cards and 8 flower cards, the total number of cards for tree and flower is 8+8 = 16. The total number of cards in the stack is 30. Thus, the probability of selecting a tree or a flower is the ratio of the number of tree and flower cards to the total number of cards, which is:

P(tree or flower) = 16/30

Simplifying this expression, we get:

P(tree or flower) = 8/15

Therefore, the probability of randomly selecting a tree or a flower from the stack of 30  randomly selecting is 8/15. This means that out of 15 cards, 8 of them will either be a tree or a flower.

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