If you hold a 4 kg book in your hands at a constant height, the net force acting on the book is

Step-by-step explanation:

darararam ♥️

Answer:

a,d,e

Step-by-step explanation:

Answer:16

Step-by-step explanation:6484.00-2800 for installation ends up equaling $3684.00

The you divide that answer by $230.25

That equals 16:The answer is 16 windows

Answer:a rational number is any number that can be expressed as the quotient or fraction

Step-by-step explanation:

Answer:

1. To expand the polynomial f(x) = (x-3)(x+2)(x+3), we can use the FOIL method twice, where we first multiply (x-3) and (x+2) using FOIL, then multiply the resulting binomial by (x+3) using FOIL again.

2. To expand the polynomial g(x) = (x-3)(x+2)(x-2), we can also use the FOIL method twice, where we first multiply (x-3) and (x+2) using FOIL, then multiply the resulting binomial by (x-2) using FOIL again.

3. The polynomial f(x) has three linear factors, and so the degree of the polynomial will be 3, since we will have to multiply three binomials together. The polynomial g(x) has four linear factors, and so the degree of the polynomial will be 4.

If we were to expand a polynomial with five linear factors, the degree of the polynomial would be 5, since we would have to multiply five binomials together.

4. The degree of a polynomial is determined by the highest power of x in the polynomial, which is determined by the number of terms in the expanded polynomial expression.

(6 sentences to use):

1. To expand the polynomial (x-3)(x+2)(x+3), we use the distributive property and multiply each term of the first binomial by each term of the second binomial, then multiply the resulting trinomial by the third binomial.

2. To expand the polynomial (x-3)(x+2)(x-2), we use the same strategy as in the previous example, multiplying each term of the first binomial by each term of the second binomial, and then multiplying the resulting trinomial by the third binomial.

3. The polynomial f(x) has three linear factors, so its degree is 3, which means the highest exponent in the polynomial is 3.

4. The polynomial g(x) has four linear factors, so its degree is 4, which means the highest exponent in the polynomial is 4.

5. If we were to expand a polynomial using five linear factors, we would again use the distributive property to multiply each term of each binomial together, resulting in a polynomial with a degree of 5, which means the highest exponent in the polynomial would be 5.

6. This strategy for multiplying three binomials is a useful tool in algebraic manipulation, allowing us to expand and simplify polynomial expressions.

Hope this helped! Sorry if it didn't. If you need more help, ask me! :]

Step-by-step explanation:

There are x kids in the group

So, adults are 13-x people

(13-x)(12) + x(8) = 124

156 - 12x + 8x = 124

156 - 124 = 4x

4x = 32

x = 8

There are 8 kids in that group.

Including a triangle and rectangle, the area of this composite shape will be 136 cm².

What exactly is a rectangle?

A rectangle is a geometric shape that is defined as a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and equal in length.

Rectangles are a type of parallelogram because their opposite sides are parallel. However, what distinguishes rectangles from other parallelograms is that all four of their angles are right angles.

Now,

The area of the composite shape will be equal to the sum of area of triangle and area of rectangle

so,

To find the area of a rectangle, the length of the rectangle is 16 cm and the width is 7 cm, so the area is:

Area = Length x Width = 16 cm x 7 cm = 112 square cm

Therefore, the area of the rectangle is 112 square cm.

As area of a triangle is :

Area = (1/2) x Base x Height

where "Base" and "Height" are the length of the base and the height of the triangle, respectively.

Substituting the given values, we have:

Area = (1/2) x 8 cm x 6 cm = 24 square cm

Therefore, the area of the triangle is 24 square cm.

Then

Area of shape=112+24

=136 cm²

hence,

          the area of this composite shape will be 136 cm².

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The transformations from the function f(x) to g(x) is horizontal shift: Right 4 Units and vertical shift: Up 1 Units.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

The given functions are f(x)=x³ and g(x)= -(x-4)³+1.

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: Right 4 Units

Vertical Shift: Up 1 Units

Reflection about the x-axis: None

Reflection about the y-axis: Reflected

Vertical Compression or Stretch: None

Therefore, the transformations from the function f(x) to g(x) is horizontal shift: Right 4 Units and vertical shift: Up 1 Units.

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Answer: Subtraction property of equality

Step-by-step explanation:

They subtracted 6 from both sides to get AB=18.

Answer:

x = 70 degrees

Step-by-step explanation:

Answer:

x = 70°

Step-by-step explanation:

Because it is an isosceles triangle, the two base angles are the same (55° and 55°)

All triangles angles must add up to 180°, so 180-55-55 will give us the missing angle (x).

180-55-55 = 70

x = 70°

Answer:

305°

Step-by-step explanation:

Degree of compass, North: 0° = 360° West: 270°

35 degree north of west

»»————-♔————-««

hope it helps...

have a great day!!

The alphabetic index for ICD-10-CM (International Classification of Diseases, 10th Revision, Clinical Modification) is organized by terms and codes (option b).

It serves as a reference tool that allows users to locate codes for specific diseases, conditions, procedures, or external causes. The index is typically organized alphabetically according to the terms or phrases that describe various medical conditions. Users can navigate the index by looking up keywords related to the diagnosis or procedure they are interested in. The index provides corresponding codes that can be used for accurate classification and documentation purposes.

The ICD-10-CM index may include subheadings, indents, and cross-references to assist with finding the appropriate code. It is an important component of the coding system, helping healthcare professionals, coders, and researchers in accurately identifying and classifying medical conditions and procedures for billing, research, and statistical purposes. The correct option is b.

The complete question is:

The alphabetic index for icd 10 cm is organized by

a) the condition

b) terms and codes

C) none of the above

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Answer:

2x = 100

Step-by-step explanation:

You have to substitute the factors by adding to get the anwser of x so the answer would be 2x = 100 if you need help feel freee to ask plz name me brainlest thx smiley face:)

Answer:

The answer is 2x=100 and

x=50

Step-by-step explanation:

since they already explained how to get 2x=100 all you have to do to get x=50 is:

2x=100

x=100/2

x=50 so there you gon thats how I got x=50!

The conclusion about the congruent triangles is explained below.

What is congruent triangles?

Two triangles are stated to be congruent if the 3 facets and the 3 angles of each the angles are same in any orientation.

Two pairs of corresponding side lengths are proportional by the same ratio. Also the angles are congruent.

So, the triangles are congruent.

This standards of congruency is is aware of as ASA criterion as a facet blanketed among angles are all identical.

Two triangles are congruent, if angles and the facet blanketed among them in a single triangle is same to the 2 angles and the facet blanketed among them of the alternative triangle.

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Using Compund interest formula, we can say that total Rs. 67 lakh and sixty thousand is owned by Sunil to the bank after 2 years .

Compound Interest Formulas :

You can also use the principal and interest rate to find compound interest. H. Total interest on principal and accrued interest not repaid within the repayment period. The compound interest formula is:

A = P( 1 + r/100)ᵗ

where A --> amount to pay by person after t years

P --> amount borrowed by person

r ---> rate of interest annually

t-----> time period

We have given that,

The amount borrowed by Sunil for education loan(P) = Rs. 40 lakh

Rate of interest (r) = 30% per annum

Interest is compunded annually.

time period (t) = 2 years

we have to calculate the amount to pay by Sunil after two years .

putting all known values in above formula,

A = 40,00000 ( 1+ 30/100)²

=> A = 40,00000(13/10)²

=> A = 40,00000×13×13/100

=> A = 40,000×169

=> A = 67,60,000

Hence, the amount that Sunil own to bank after two year is 67 lakh sixty thousand.

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The total number of women who attended the party is 72.

Expression:

An act, process, or instance of representing in a medium (such as words): utterance. freedom of expression. b(1): something that manifests, embodies, or symbolizes something else. this gift is an expression of my admiration for you.

Here we have to find the number of women who attended the party.

Here it is given that 12 men attended the party.

Each woman danced with exactly two men and each man danced with exactly three women.

So we have to find the number of women.

Number of women = 12 × 3×× 2

= 72

Therefore the number of women is 72.

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Answer:

B is your correct answer

Step-by-step explanation:

The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.

First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:

x = 1/2y + 2

x - 2 = 1/2y

2x - 4 = y

So, the inverse function is f⁻¹(x) = 2x - 4.

Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).

Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.

We can start by plugging in y = 2 into the equation for f⁻¹(x):

y = 2x - 4

2 = 2x - 4

6 = 2x

x = 3

So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

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Answer:

Online Real Estate Investment Opportunities

Hiring a Property Management Company

Make Sure There's Enough Money Available

Calculate Your Expenses

You Should Earn roughly 10% After Costs and Income are Calculated

Step-by-step explanation:

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D- Most babysit because it pays more per-hour.

The reason this is the correct answer is because the question said which is NOT a valid response. This one is not because it didnt tell you how much they get paid per-hour so its incorrect.

Hope this helps!

Have a great day!

- Hailey

25 is your answer if i am sure, the question was confusing tho.

Answer:

very easy have to do add or sub if +sigh then you add if-then yu sub

plzz mark as a brainlist answer

Answer:

angle 1 + angle 6 = 180deg (reason: interior angles, //lines ; exterior angles, //lines)

Step-by-step explanation:

Topic: angles

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

1. 2(x+3)=x-4 x=-10

2. 4(5x-2)=2(9x+3)  x=7

Step-by-step explanation:

1. 2(x+3)=x-4

2x+6=x-4

2x=x-10

x=-10

2. 4(5x-2)=2(9x+3)

20x-8=18x+6

20x=18x+14

2x=14

x=7

Answer:

1) x=-10

2)x=7

Step-by-step explanation:

1.

\(2(x+3)=x-4\\\\2(x)+2(3)=x-4\\\\2x+6=x-4\\\\2x+6-x=-4\\\\x+6=-4\\\\x=-4-6\\\\x=-10\longleftarrow\)

2.

\(4(5x-2)=2(9x+3)\\\\4(5x)+4(-2)=2(9x+3)\\\\20x-8=2(9x+3)\\\\20x-8=2(9x)+2(3)\\\\20x-8=18x+6\\\\20x-8-18x=6\\\\2x-8=6\\\\2x=6+8\\\\2x=14\\\\x=7\)

it takes approximately 27.1 minutes for the water to cool to 80°F.

To determine the value of the constant a in Newton's law of cooling, we can use the formula:

ΔT/Δt = -a(T - T_r)

where:

ΔT/Δt is the rate of change of temperature,

T is the temperature of the object (whirlpool bath water),

T_r is the ambient temperature (room temperature), and

a is the constant of proportionality.

Given that the temperature cools from 102°F to 86°F in 10 minutes, we can substitute these values into the formula to solve for a:

(86 - 102) / 10 = -a(102 - 69)

-16 / 10 = -33a

-8/5 = -33a

a = (8/5) / 33

a ≈ 0.0242

Therefore, the value of the constant a in Newton's law of cooling is approximately 0.0242.

To find the value of the constant k, we can use the relationship between a and k:

k = a / m

where m is the mass of the object. Since the mass of the whirlpool bath water is not provided, we cannot determine the value of k without additional information.

To find the water temperature after 20 minutes, we can use Newton's law of cooling:ΔT/Δt = -a(T - T_r)

(ΔT/Δt) * Δt = -a(T - T_r) * Δt

(T - T_r) = (T_0 - T_r) * exp(-aΔt)

where T_0 is the initial temperature (102°F), T_r is the room temperature (69°F), and Δt is the time interval (20 minutes).

Plugging in the given values:

(T - 69) = (102 - 69) * exp(-0.0242 * 20)

Simplifying and solving for T:

T ≈ 80.82°F

Therefore, the water temperature after 20 minutes is approximately 80.82°F.

To determine how long it takes the water to cool to 80°F, we can rearrange the equation:

(T - T_r) = (T_0 - T_r) * exp(-aΔt)

80 - 69 = (102 - 69) * exp(-0.0242 * Δt)

11 = 33 * exp(-0.0242 * Δt)

Taking the natural logarithm of both sides:

ln(11/33) = -0.0242 * Δt

Solving for Δt:

Δt ≈ -ln(11/33) / 0.0242

Δt ≈ 27.1 minutes

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The logistic model is an elementary model used to describe population growth. It is given by the equation: dn/dt = r * n * (1 - n/k), where n is the population size, t is time, r is a growth rate parameter, and k is the carrying capacity of the environment.

The logistic model is a mathematical equation used to describe population growth over time. It is based on the idea that population growth is limited by the carrying capacity of the environment, which refers to the maximum number of individuals that can be sustained by the available resources in the environment.

The logistic model is given by the following differential equation:

dn/dt = r * n * (1 - n/k)

Where n is the population size, t is time, r is a growth rate parameter, and k is the carrying capacity of the environment. The term dn/dt represents the rate of change of population size over time. The term r * n represents the rate at which the population grows without any environmental constraints. The term (1 - n/k) represents the fraction of the carrying capacity that is available for population growth at any given time.

The logistic model predicts that population growth will initially be exponential, as there are no environmental constraints on growth. However, as the population grows and approaches the carrying capacity of the environment, the rate of population growth slows down until it reaches an equilibrium point where the rate of growth is zero.

In summary, the logistic model is an elementary model used to describe population growth. It takes into account the carrying capacity of the environment and predicts that population growth will eventually reach an equilibrium point where the rate of growth is zero.

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4. The magnitude of angle S is 40°. Answer A.

5. The value of x is 48°. Answer B.

6. The true conclusion is Trevor is correct because the point (4 , 0) satisfies both equations. Answer B.

7. The system of equations has infinitely many solutions. Answer D.

Two parallel lines cut by a transversal form several angles. Look at the top image on the left. Two types of alternate angles have the same magnitude of the angle

The tangent line of two parallel lines is equals

4. From the picture

5. Look at the top image on the right.

6. Solve the system of equations with the substitution method

7. The system of equations

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Answer:

y=1/4x-17

Step-by-step explanation:

To find the inverse, switch x and y.

y=4(x+17)

x=4(y+17)

Solve for y.

x=4y+68

x-68=4y

y=1/4x- 17

Answer:

Option B

Step-by-step explanation:

Let's understand this problem in a simpler way,

If two points P and R represent the numbers as,

P = 2 and R = - 4

Then distance between these points will be,

P - R = -4 - 2  Or R - P = 2 - (-4)

        = -6 Or R - P = 6

        = ±6

But the distances are always positive so 6 will be the answer.

That's why we represent the distances between two points as,

|P - R| (Absolute value of the difference)

Option B is the answer.

Answer:

4inches

Step-by-step explanation:

Area = l x w

If area is 36inches, then the length is square root of 36

Lenght of a side is 6inches

The Lenght reduced by 2inches = 4