Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time. The recursive function that gives the number of books Ashley has at any time is ____=______, started at ____.

Answer:

m<ABC = 41°

m<DBC = 35°

m<NDF = 77°

Step-by-step explanation:

Problem 1:

Given, m<ABD = 76°, m<ABC = (7x - 1), m<DBC = (5x + 5)

m<ABC + DBC = m<ABD (angle addition postulate)

\( (7x - 1) + (5x + 5) = 76 \) (substitution)

Solve for x

\( 7x - 1 + 5x + 5 = 76 \)

Collect like terms

\( 7x + 5x - 1 + 5 = 76 \)

\( 12x + 4 = 76 \)

Subtract 4 from each side

\( 12x + 4 - 4 = 76 - 4 \)

\( 12x = 72 \)

Divide each side by 12

\( x = 6 \)

Find m<ABC

m<ABC = (7x - 1)

Plug in the value of x

m<ABC = 7(6) - 1 = 42 - 1 = 41°

Find m<DBC

m<DBC = (5x + 5)

Plug in the value of x

m<DBC = 5(6) + 5 = 30 + 5 = 35°

Problem 2:

<JKH and <NDF are corresponding angles. Corresponding angles are congruent.

Given that m<JKH = 77°, m<NDF = 77° (corresponding angles are equal).

Answer:

Mr. Nelson paid $48 befor tax.

Step-by-step explanation:

Let x be the price of the item before tax.

108 % * x - x = 3.84 (the tax itself)

27/25x - x = 3.84

2/25 x = 3.84

x = 48

Answer:

Step-by-step explanation:

To make a prediction about the slices of pie the college will need, we can use the proportion of students who prefer pie from the sample of 225 students to estimate the number of students out of the total 4,000.

Number of students surveyed: 225

Number of students who prefer pie: 36

To estimate the number of students who prefer pie out of the total 4,000 students, we can set up a proportion:

225 (surveyed students) is to 36 (students who prefer pie) as 4,000 (total students) is to x (unknown number of students who prefer pie).

225/36 = 4000/x

Cross-multiplying, we get:

225x = 36 * 4000

225x = 144,000

x = 144,000/225

x ≈ 640

Therefore, the best prediction is that the college will have about 640 students who prefer pie.

The correct answer is "The college will have about 640 students who prefer pie."

Answer:

240 m³

Step-by-step explanation:

Triangular base = 1/2bh=

1/2(5)(12)=30

30x8=240m³

(Volume is in cubic units, not square units, so I’m not sure why the question says that.)

C = \(e^(^C^1^)\) is a constant by solving the differentiation of equation x(dy/dx) + 2y = sin(x).

To solve the differential equation:

x(dy/dx) + 2y = sin(x)

we can use an integrating factor approach. The equation is not in standard linear form (dy/dx + P(x)y = Q(x)), but we can rewrite it as follows:

dy/dx + (2/x)y = (sin(x)/x)

Comparing this to the standard linear form, we have P(x) = 2/x and Q(x) = sin(x)/x.

Now, we can find the integrating factor, which is given by the exponential of the integral of P(x) with respect to x:

μ(x) = e∫(2/x) dx

Integrating (2/x) with respect to x, we get:

∫(2/x) dx = 2 ln|x| + C1

where C1 is an arbitrary constant.

Therefore, the integrating factor μ(x) becomes:

μ(x) = \(e^(^2^ l^n^|^x^|^ C^1^)\)

     = \(e^(^2^ l^n^|^x^|^ C^1^)\) x \(e^(^C^1^)\)

     = \(|x|^2\) x \(e^(^C^1^)\)

     = C x \(x^2\)

Here, C = \(e^(^C^1^)\) is a constant.

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Answer:

Your answer would be 69

Step-by-step explanation:

H=41+m

M is 28 cuz that is the number of months

So. . .

H=41+28

H=69

Answer:

59

Step-by-step explanation:

The evaluation on of the expression (35 + 5)[16 + (12 divide 4)] is 760

From the given expression;

By using the BODMAS method, We will solve the terms in brackets separately first before division, multiplication, addition, and subtraction.

As such, we have:

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Answer:

right angle

Step-by-step explanation:

The expansion of (d+9) × 2 is 2d +18

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.

A linear expression can be with a variable or more. For example y = 5x + 2 , is an example of linear equation with two variables

When we add d to 9 and we double the result i.e ( d+9) ×2, we can obtain the value by opening the parentheses. Multiply 2 by the two terms in the parentheses

= 2d +18

Therefore the expansion of 2( d+9) = 2d +18

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Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator and teacher support for allowing students to miss class for the group sessions.

Elementary education,  can as well be described as the  primary education, which is the first stage of education that is followed in the traditional  formal education,  children at  about age 5 to 7 are those that are usually found in the elementary seetings of school.

Its should be noted that Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator .

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(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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Round to nearest tenth is 0.9 in percentage .

What does the % mean?

24×3.5% = 0.84

so round to nearest tenth is 0.9.

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

The total amount of money they were sharing is 28p.

Let's assume that the total amount of money they were sharing is represented by the variable "x".

According to the given ratio, Hussain and Sam were sharing the money in the ratio 2:5. This means that for every 2 parts that Hussain receives, Sam receives 5 parts.

Since Sam received 70p, we can set up the following equation to solve for the value of x:

(5 parts / 2 parts) * x = 70p

Simplifying the equation, we have:

(5/2) * x = 70

Multiplying both sides by (2/5) to isolate x, we get:

x = (70 * 2) / 5

x = 140 / 5

x = 28

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The method that cannot be used to show congruency of two triangles is the method of "angle-angle-angle" (AAA).

The AAA method states that if the corresponding angles of two triangles are congruent, then the triangles themselves are congruent. However, this method is not valid for proving congruency because it does not take into account the lengths of the sides of the triangles.

To prove congruency, we typically use one of the following valid methods:

Side-Side-Side (SSS): If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.

Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Side-Angle-Angle (SAA): If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are not necessarily congruent. This method alone is not sufficient to prove congruency.

Therefore, the method that cannot be used to show congruency of two triangles is the Angle-Angle-Angle (AAA) method.

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The standard form of the equation in the point slope form is:

-x + 3y - 12 = 0

Given:

we have the equation as:

y - 2 = 1/3 (x+6)

Now, cross multiply:

3y - 6 = 1(x+6)

open the brackets:

3y - 6 = x+6

rearrange the like terms:

3y - x - 6 - 6 = 0

arrange the terms according to the standard form:

-x + 3y - 12 = 0

Hence we get the standard form of the equation as:

-x + 3y - 12 = 0

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The expanded form of \(\((x+2y+4z)^2\)\) is \(\(x^2 + 4xy + 8xz + 4y^2 + 16yz + 16z^2\).\)

To expand the expression \(\((x+2y+4z)^2\),\) we can use the binomial expansion or the distributive property. Let's use the distributive property to expand it:

\(\((x+2y+4z)^2 = (x+2y+4z)(x+2y+4z)\)\)

To expand this, we need to multiply each term in the first parentheses by each term in the second parentheses. Let's start by multiplying the terms:

\(\(x(x+2y+4z) + 2y(x+2y+4z) + 4z(x+2y+4z)\)\)

Now, let's simplify each term:

\(\(x^2 + 2xy + 4xz + 2xy + 4y^2 + 8yz + 4xz + 8yz + 16z^2\)\)

Combining like terms:

\(\(x^2 + 4xy + 8xz + 4y^2 + 16yz + 16z^2\)\)

Thus, the expanded form of \(\((x+2y+4z)^2\)\) is \(\(x^2 + 4xy + 8xz + 4y^2 + 16yz + 16z^2\).\)

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

1/3

Step-by-step explanation:

If you add all the n's, it would make 3n=1.  Divide both sides by 3 and get n=1/3

Answer:

0.333 or 1/3

Step-by-step explanation:

0.333*3=1

Answer:

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore, given as follows;

\(f(x) = 64 \times \left(\dfrac{3}{4} \right) ^{(x - 1)}\)

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore the correct answer is C

The measures of the interior and exterior angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠7, ∠8, and ∠9 are 90°, 90°, 90°, 122°, 58°, 58°, 148°, 32°, and 148°, respectively.

We are given a triangle. One of the angles is 122 degrees, as shown in the diagram. We need to find all the interior and exterior angles. The vertically opposite angles are equal. The angle ∠4 is vertically opposite to the given angle. So, ∠4 = 122°. The angle ∠5 and the given angle form a linear pair. So, the angle ∠5 = 180° - 122° = 58°. The angle ∠6 is vertically opposite to the angle ∠5. So, the angle ∠6 = 58°. The angles ∠1, ∠2, and ∠3 are angles made by coordinate axes that are perpendicular to each other. So, the angles ∠1 = ∠2 = ∠3 = 90°. Now we use the angle sum property of a triangle. The sum of all the interior angles of a triangle is 180°. So, we can write the equation : ∠6 + ∠1 + ∠8 = 180°. So, ∠8 = 180° - (∠6 + ∠1) = 180° - (58° + 90°) = 180° - 148° = 32°. The angles ∠8 and ∠9 form a linear pair. So, ∠9 = 180 - 32° = 148°. The angle ∠7 is vertically opposite to the angle ∠9. So, the angle ∠7 = 148°.

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Answer:

3x - 6

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

Let's make the units the same :

2 kg = 2000 g

Now lets simplify this fraction :

Divide top and bottom by 2 until you can't :

320/2000 = 160/1000

160/1000 = 80/500

80/500 = 40/250

40/250 = 20/125

Now we divide top and bottom by 5 as 2 is not a factor of 125 :

20/125 = 4/25

This is our final answer

Hope this helped and brainliest please

As chairperson of the SRC Entertainment Desk, you were approached by L4 students who requested a farewell function since they are not included in the college graduation ceremony.

Subject: Proposal for Funding: Farewell Function for L4 Students , Dear [Name of Funding Organization], I hope this letter finds you well. I am writing to request funding for a farewell function to be organized for the L4 students of our campus. Since the implementation of the NCV program, only NATED students have been privileged to participate in the college graduation ceremony. It is important to address the concerns and provide a memorable farewell event for the L4 students, who have also contributed to the college community during their time here.

The proposed farewell function is intended to recognize the achievements and efforts of the L4 students. It would take place towards the end of the year, immediately after their final examinations. We envision an event that celebrates their accomplishments, allows for reflection, and provides networking opportunities with local companies who may be interested in the various skills offered by the college. To ensure the success of the farewell function, we are seeking financial support to cover the costs associated with venue rental, event decorations, refreshments, guest speakers, and invitations to local companies. The presence of local companies would provide an opportunity for the L4 students to showcase their skills and potentially explore job opportunities or internships.

We kindly request your organization's support in funding this farewell function. Your contribution would not only help create a memorable event for the L4 students but also demonstrate the commitment of our college and local businesses to recognizing the potential and talent of all our students, regardless of their program. Thank you for considering our proposal. We would be happy to provide further details and discuss this opportunity in person or via any preferred means of communication. We believe that by organizing this farewell function, we can foster a sense of inclusivity and support for all our students. Sincerely, [Your Name]Chairperson, SRC Entertainment Desk

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Answer:

A and C are correct. D may be correct too.

Answer:

The correct answers are A, C and F

Step-by-step explanation:

Answer:

8*4+3*2

Step-by-step explanation:

Answer:

38. hope i'm right

Step-by-step explanation:

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:

The difference between two matrices of the same size is calculated by subtracting the corresponding elements of the two matrices.

Let’s apply this to matrices A and B:

A - B = [3 -1; 2 0; -3 3] - [3 3; -5 4; -4 2] = [0 -4; 7 -4; 1 1]

So the correct answer is B) Matrix consisting of 3 rows and 2 columns. Row 1 shows 0 and negative 4, row 2 shows 7 and negative 4, and row 3 shows 1 and 1.

The binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.

The questions using the binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.

Without this information, it is not possible to provide accurate calculations. The binomial distribution formula is used when we have a fixed number of independent trials (small businesses in this case) and each trial has two possible outcomes (owned by a woman or not).

We would need the probability of success (p) and the number of trials (n) to calculate the probabilities. Once we have these values, we can use the formula to find the desired probabilities, such as the expected number of small businesses owned by women, the standard deviation, and the probabilities for specific scenarios.

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