Suppose that a certain basketball the warned $18,500,000 to play 80 games, each tasting 48 minutes. (Assume ro overtime games) How much did the atrite eam pergame? b. Assuming that the athlete played

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The simple interest rate that is equivalent to the discount rate can be determined by multiplying the discount rate by (Time / 365).

i) To determine the maker of the note, we need to identify who issued the promissory note. Unfortunately, the information provided does not specify the name of the maker or issuer of the note. Without additional information, it is not possible to determine the maker of the note. ii) To calculate the face value of the note, we can use the formula for the maturity value of a promissory note: Maturity Value = Face Value + (Face Value * Interest Rate * Time). Given that the maturity value is RM7,266 and the note matured on 11 June 2022 (assuming a 365-day year), and Zafran held the note for 52 days, we can calculate the face value: 7,266 = Face Value + (Face Value * 0.09 * (52/365)). Solving this equation will give us the face value of the note.

iii) The discount date is the date on which the note was discounted at the bank. From the information provided, we know that Zafran discounted the note after holding it for 52 days. Therefore, the discount date would be 52 days after 10 January 2022. iv) The discount rate can be calculated using the formula: Discount Rate = (Maturity Value - Discounted Value) / Maturity Value * (365 / Time). Given that the discounted value is RM7,130.77 and the maturity value is RM7,266, and assuming a 365-day year, we can calculate the discount rate. v) The simple interest rate that is equivalent to the discount rate can be determined by multiplying the discount rate by (Time / 365). This will give us the annualized interest rate that is equivalent to the discount rate.

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Answer:

\(x=4.375\)

Step-by-step explanation

From the question we are told

Plane A starts at altitude 790

Plane B starts at altitude 1142

Plane A losing altitude at 14 meters per second

Plane B is losing altitude at 22 meters per second

Generally the altitude of both plane is given by

Plane A= \(790-14x\)

Plane B=\(1142-22x\)

Therefore when they exist in the same altitude

\(790-14x\) =\(1142-22x\)

\(-350=-8x\)

\(\frac{-350}{-8} =x\)

Therefore

\(x=4.375\)

The required, Pair 1 and Pair 3 are pairs of congruent polygons. Option D is correct.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
"Congruent shapes have both the same size and the same shape.

In Pair 1, there are two polygons that have identical sizes and shapes, meaning they are congruent.

In Pair 2, there are two polygons that are not the same size and the length of the "stick" in one figure is longer than the corresponding length in the second figure.

In Pair 3, there are two polygons that have identical sizes and shapes, making them congruent.

In Pair 4, there are two polygons that have the same shape, but the first green figure is larger than the second red figure, indicating that they are not congruent."

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When we factor the expression, we are going to obtain the result;

9a(9a + 4) + 4

Factoring an expression involves breaking it down into simpler parts that can be multiplied together to obtain the original expression. The specific method used to factor an expression depends on the type of expression.

It's important to note that factoring can sometimes be a challenging process, and not all expressions can be factored using real numbers.

We can carry out this factorization by the use of the nesting method, Hence;

81a^2 + 36a + 4

(81a^2 + 36a ) + 4

9a(9a + 4) + 4

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Answer:

C - 145

Step-by-step explanation:

This figure can be split into a trapezoid and a rectangle.

The rectangle has dimensions 7 x 11, and the trapezoid has bases of 11 and 6, and a height of 8 (15-7).

The area of the figure is the area of the rectangle + the area of the trapezoid, which is 7*11 + (11+6)/2 * 8 --> 77 + 17*4 --> 77+68 --> 145. The answer is C

To prove that DP/PB = CP/PA in trapezoid ABCD, we can use the property of similar triangles and the fact that the diagonals of a trapezoid divide each other proportionally.

In trapezoid ABCD, let the intersection of the diagonals AC and BD be point P. We need to show that DP/PB = CP/PA.

By the property of similar triangles, we can see that triangle DPC is similar to triangle APB. This is because angle DPC is congruent to angle APB (vertical angles), and angle CPD is congruent to angle BPA (alternate interior angles formed by parallel lines AB and CD).

Since triangle DPC is similar to triangle APB, the corresponding sides are proportional. Therefore, we have:

DP/PA = CP/PB

Cross-multiplying this equation gives us:

DP * PB = CP * PA

Dividing both sides by PB * PA (which are not equal to zero) yields:

DP/PB = CP/PA

Thus, we have proven that DP/PB is equal to CP/PA in trapezoid ABCD.

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                                                  Question 1)

Given

Interest I = $18

Principle P = $200

t = 1.5 years

To determine

Interest rate r = ?

Using the formula

\(P = Irt\)

\(r=\frac{I}{Pt}\)

susbtituting I = 18, t = 1.5 and P = 200

\(r=\frac{18}{\left(200\times 1.5\right)}\)

\(r = 0.06\)

or

r = 6%       ∵ 0.06 × 100 = 6%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $18.00  from a principal of $200 over 1.5 years is 6% per year.

                                                    Question 2)

Given

Interest I = $60

Principle P = $750

Interest rate = 4% = 0.04

To determine

Time period t = ?

Using the formula to calculate the time period

\(P = Irt\)

\(t\:=\:\frac{P}{Ir}\)

\(t=\frac{60}{\left(750\times 0.04\right)}\)

\(t = 2\) years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750 at an interest rate of 4% per year  is 2 years.

The expression that are equivalent to -4/3p - 2/5 are - 2/5 -4/3p and -4/3p + (-2/5)

From the question, we have the following parameters that can be used in our computation:

-4/3p - 2/5

The equivalent of the above expression is

- 2/5 -4/3p

Another equivalent of the above expression is

-4/3p + (-2/5)

These are represented by options (a) and (d)

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Answer:

Step-by-step explanation:

7.27 is irrational because it has repeating digits(27 is infinite, 7.272727...)

The value of the variable x is 2 and length of the segment AB = 25 and length of segment BC is 14.

If a Line segment AC is given in a plane and B is some point between the points A and C on the line segment AC. Then two segments of the line segment ac are formed that are AB and BC. and length of AC is equal to the sum of lengths of AB and BC.

Then AC = AB +BC

Given that  B is point on the line segment AC

Length of AB line = 9x+7

Length of BC = -3x +20

Length of AC = 39

Using segment addition postulate,

we have AC = AB +BC

⇒ 39 = 9x+7 + (-3x) +20

⇒ 39 = 9x -3x +7+20

⇒39 = 6x +27

⇒ 39-27 = 6x

⇒ 12 = 6x

⇒ 2 = x

∴ Length of AB will be = 9(2) +7 = 25

∴ Length of BC will be = -3x + 20 = -3(2) +20 = 14

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The complete question is mentioned in the picture below:

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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The mean of these scores is 16.

The mean is a measure of central tendency that indicates the average value of a set of data. It is calculated by adding up all of the individual values in a dataset and dividing that sum by the number of values in the dataset. In mathematical terms, the mean is represented by the symbol "µ" (mu) and is calculated as:

µ = (sum of all observations) / (number of observations)

To find the mean of these scores, you would add up all of the individual scores and divide by the total number of scores.

First, we find the total score of the 5 students who scored 10: 5 students * 10 points/student = 50 points

Then, we find the total score of the 10 students who scored 15: 10 students * 15 points/student = 150 points

Then, we find the total score of the 10 students who scored 20: 10 students * 20 points/student = 200 points

Now we add all the total scores of students: 50+150+200 = 400 points

Finally, to find the mean score, we divide the total score by the number of students: 400 points / 25 students = 16 points/student.

Therefore, the mean of these scores is 16.

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Answer:

Step-by-step explanation:

Distributive

Step-by-step explanation:

41+29=70

41 +(9+20)=70

(41+9)+20=70

hope it help

Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

Answer:

90%

Step-by-step explanation:

This is because 90 blocks are purple and 90/100 is 90.

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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The correct answer is (d) O 3-14 13-4-19 15-0-18-18 16-14.

To translate the letters in the message "DO NOT PASS GO" to numbers based on their position in the alphabet, we assign each letter its corresponding number.

The alphabet consists of 26 letters, from A to Z. We can assign each letter a number based on its position in the alphabet, starting from 1 for A and ending with 26 for Z.

Here is the translation of each letter in the message:

D -> 4

O -> 15

N -> 14

O -> 15

T -> 20

P -> 16

A -> 1

S -> 19

S -> 19

G -> 7

O -> 15

Putting these numbers together, we get:

4-15-14-15-20-16-1-19-19-7-15

Therefore, the correct translation of the message "DO NOT PASS GO" to numbers based on the position in the alphabet is:

4-15-14-15-20-16-1-19-19-7-15

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The location of point b on the number line is 8.25.

To find the location of point b on the number line, we need to determine the value that satisfies the ratio of ab:bc being 3:1.

Let's assume that the location of point b is represented by the variable x.

Given that the ratio of ab:bc is 3:1, we can set up the following equation:

ab/bc = 3/1

To find the length of ab and bc, we subtract the respective coordinates:

ab = x - 6

bc = 9 - x

Now we can substitute these values into the equation:

(x - 6)/(9 - x) = 3/1

To solve this equation, we can cross-multiply:

1 * (x - 6) = 3 * (9 - x)

Simplifying the equation:

x - 6 = 27 - 3x

Combine like terms:

4x = 33

Divide both sides by 4:

x = 33/4 = 8.25

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The choice which defines same arithmatic sequence using a Recursive Formula and an Explicit formula is (A) which is \(a_1= -23, a_n = a_{n-1}+ 12,a_n=-23 +12(n-1)\)

If first term of a arithmatic sequence is a₁ and the common difference is d then,

By Explicit Formula, the n-th term of the sequence is given by,

\(a_n=a_1+(n-1)d\)

By Recursive Formula,

\(a_n=a_{n - 1}+d\)

In the first choice: a₁ = -23 and

\(a_n=a_{n-1}+12\)

Then by recursive formula, it suggests arithmatic sequence with first term -23 and common difference 12.

and

\(a_n=-23+12(n-1)\)

So by explicit formula it also suggests arithmatic sequence with first term -23 and common difference 12.

So it is one correct choice.

In second choice: a₁ = -100 and

\(a_n=a_{n-1}+1\)

By recursive formula, it suggests arithmatic sequence with first term -100 and common difference 1.

\(a_n=100-1(n-1)\)

By explicit formula, it suggests arithmatic sequence with first term 100 and common difference -1.

So it is not the correct choice.

In third choice: a₁ = -41 and

\(a_n=a_{n-1}+12\)

By recursive formula, it suggests arithmatic sequence with first term -41 and common difference 12.

\(a_n=12-41(n-1)\)

By explicit formula, it suggests arithmatic sequence with first term 12 and common difference -41.

So it is not the correct choice.

In fourth choice: a₁ = 50 and

\(a_n=a_{n-1}-4\)

By recursive formula, it suggests arithmatic sequence with first term 50 and common difference -4.

\(a_n=50+4(n-1)\)

By explicit formula, it suggests arithmatic sequence with first term 50 and common difference 4.

So it is not the correct choice.

Hence the option (A), the first choice is correct.

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Answer: D. 80 miles

Step-by-step explanation:

if 1 inch is 20 miles, then 4 inches is 4 x 20 = 80 miles what is real distance between City A and City B

Answer:

D. 80 miles

Step-by-step explanation:

If the map distance between Cities A and B is 4 in, and the map scale is 1 in = 20 mi, then the actual distance between Cities A and B is:

\(\frac{4\text{ in}}{1}\times\frac{20\text{ mi}}{1\text{ in}}=\frac{80\text{ mi}}{1}=80\text{ mi}\)

In other words, every one inch on the map equates to 20 miles in actual distance. Therefore, 4 inches equates to 80 miles.

The equation of the line in the form `ax + by = c` whose x-intercept is 18 and y-intercept is 6, where a, b, and c are integers with no factor common to all three, a, is `x + 3y = 18`.

To find the equation of the line in the form ax+by=c whose x-intercept is 18 and y-intercept is 6 , where a, b, and c are integers with no factor common to all three, a, we use the following steps:Step 1: Find the slope of the lineThe slope of the line is given by the formula: `m = -b/a`.Since the x-intercept is 18, the x-coordinate of the point on the line is 18, and the y-coordinate of this point is 0.Therefore, the slope of the line is: `m = -b/a = 0 - 6 / 18 - 0 = -1/3`Step 2: Write the equation of the line using the slope-intercept form of the equationThe slope-intercept form of the equation of a line is given by: `y = mx + b`, where m is the slope of the line, and b is the y-intercept of the line.Since the y-intercept is 6, we have that `b = 6`.Therefore, the equation of the line in slope-intercept form is: `y = -1/3 x + 6`Step 3: Convert the equation of the line to the form ax + by = cTo convert the equation of the line to the form ax + by = c, we multiply both sides of the equation by 3 to get rid of the fraction. We then rearrange the terms to get the desired form. `y = -1/3 x + 6` `3y = -x + 18` `x + 3y = 18`Therefore, the equation of the line in the form `ax + by = c` whose x-intercept is 18 and y-intercept is 6, where a, b, and c are integers with no factor common to all three, a, is `x + 3y = 18`.

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Answer:

right triangle

Step-by-step explanation:

because 15 would be the base so 11 and 12 would be the sides and fot the triangle to be acute or obtuse the total of the sides (11+12) has to be lass than the base (15), but it is more 23 so it has to be a right triangle.

Answer: Answer on the bottom below

Step-by-step explanation: And p.s this is worth 18 points because it needed to divide the points in two.- Have a brilliant day mate ^_^

Answer:

Step-by-step explanation:

find the semiperiter (1/2 perimeter or L+W)

80 : 2 = 40

now we know that 4z + 2 + 3z + 3 = 40

we solve for z with an equation

4z + 2 + 3z + 3 = 40

7z = 40 - 2 - 3

7z = 35

z = 35 : 7

z = 5

now we find CD

3z + 3 =      (z=5)

3 * 5 + 3 =

15 + 3 =

18

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

check (remember pemdas)

4z + 2 + 3z + 3 = 40

4*5+2+3*5+3 = 40

20+2+15+3=40

40 = 40

the answer is good

Answer:

the time here in this picture is 7 h and 20 min

Answer:

seven times the difference of a number b, and two

Step-by-step explanation:

hope this helps

A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.

What is  simple random sample ?

A simple random sample, also known as an SRS, is a subset of people (also known as a sample) taken from a larger group of people (also known as a population), where the subset is selected at random and with an equal probability. This procedure involves choosing a sample at random. In SRS, the probability of selecting any subset of k individuals as a sample is the same for all subsets of k individuals.

Therefore, A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.

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X.509 certificates are widely used in public key infrastructure (PKI) systems to verify the authenticity and integrity of digital identities. Therefore, among the given options, D) Owner's symmetric key is the item that does not apply to an X.509 certificate.

X.509 certificates are widely used in public key infrastructure (PKI) systems to verify the authenticity and integrity of digital identities. They contain various information related to the certificate itself and the entity it represents. Let's examine the options to determine which one does not apply to an X.509 certificate:

A) Certificate version: X.509 certificates include a version number to indicate the format and features of the certificate.

B) The issuer of the certificate: X.509 certificates specify the entity or authority that issued the certificate, which is crucial for validating the certificate's trustworthiness.

C) Public Key Information: X.509 certificates contain public key information, such as the public key itself and related parameters, to facilitate secure communication and cryptographic operations.

D) Owner's symmetric key: X.509 certificates do not typically include the owner's symmetric key. They primarily focus on the public key infrastructure and asymmetric key cryptography.

Therefore, among the given options, D) Owner's symmetric key is the item that does not apply to an X.509 certificate.

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