a pencil has density of .875 g/ml and a mass of 3.5 grams what is the volume?

By using the concept of Compound interest, Number of payment periods in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = 12

What is Compound interest?

The interest earned on savings that is calculated using both the initial principal and the interest accrued over time is known as compound interest. It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a sum more quickly than simple interest, which is only calculated on the principal sum. Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

This problem can be solved by using the concept of compound interest

Number of  payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = \(6 \times 2 = 12\)

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Answer:

Isosceles Right Triangle.

Step-by-step explanation:

Let the points be A, B and C where A = (-4, 1), B = (0, -2) and C = (3, 2)

Slope of AB = (-2-1)/(0- -4) = -3/4

and its length = √(-2-1)^2 + (0- -4)^2 = √25 = √5.

Slope of BC = (2 - -2)/(3 - 0) = 4/3

and its length = √(2 - -2)^2 + (3)^2 = √25 = √5

Slope of AC = ((2-1)/3- -4) = 1/7

and its length = √((4--4)^2 + (2-1)^2 = √17

The product of the slopes of AB and BC = -3/4 * 4/3 = -1 so

m < ABC = 90 degrees.

Also, the sides AB and BC are equal in length

So. the Triangle is an isosceles right triangle.

To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

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Answer:

x = -9

Step-by-step explanation:

2x - 3(2x - 3) = 45

2x - 6x + 9 = 45

-4x + 9 = 45

-4x + 9 - 9 = 45 - 9

-4x = 36

-4x/-4 = 36/-4

x = -9

There is an error in Step 1. The correct answer should be: a) Step 1, replace "angle bisector" with "perpendicular bisector"

An inscribed figure is, in essence, one shape drawn inside of another. A form drawn outside another shape is referred to as a circumscribed figure. All of a polygon's corners, or vertices, need to touch the circle in order for it to be enclosed inside of it.

The appropriate procedures for drawing a circle around a triangle are as follows:

Step 1: Create the perpendicular bisector of one triangle side .

Step 2: Create the perpendicular bisector of a different triangle side .

Step 3: Mark the place where the bisectors cross a point that represents the centre of the circle.

Step 4: Center the compass and adjust its length to reach any triangle vertex before drawing your circle's circumference.

Hence, option a is correct answer.

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⇒To check if the given point (2,-8) is the solution to the system you should have a general knowledge that 2 is the input that is represented by variable x and -8 is the output variable represented by letter y.

⇒Now to check if the point is a solution we will have to check for both cases  ....y<x-1 and .....y>-x+2

x=2 and y=-8 in the system y< x-1

LHS=-8

RHS=(2)-1

RHS=1

-8<1

The result is true for the first inequality

for the second system inequality

x=2 and y=-8

LHS=-8

RHS=-(2)+2

RHS=-2+2

RHS=0

-8<0 but in the inequality it is saying that -8>0 which is not true but False

⇒As a conclusion point (2,-8) is not a solution to the system as it does not apply to both the conditions.

⇒The answer is no.

A pencil consists of a cylindrical body (10 cm long, radius 0.3 cm) with a cone-shaped eraser (1 cm slant height) and a hemisphere-shaped eraser.

A pencil consists of three main parts: a cylindrical body, a cone-shaped eraser, and a hemisphere-shaped eraser. Let's break down the dimensions of each part:

Cylindrical Body:

Length: 10 cm

Radius: 0.3 cm

Cone-shaped Eraser:

Slant height: 1 cm (assumed height of the cone)

Hemisphere-shaped Eraser:

Since the dimensions of the hemisphere-shaped eraser are not specified in detail, we'll assume a few things:

Let's assume that the hemisphere is attached to the cone in such a way that the flat surface of the hemisphere is aligned with the circular base of the cone.

We'll assume that the radius of the hemisphere is the same as the radius of the cylindrical body, which is 0.3 cm.

Please note that the actual dimensions of a pencil can vary, and these assumptions are made for the purpose of explanation.

It's worth mentioning that the cylindrical body of the pencil is the main part used for writing, while the cone-shaped and hemisphere-shaped erasers are located at the opposite end of the pencil, typically used for erasing mistakes.

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Let x be the cost of each notebook. We know that we bought 5 of them, then the total cost of the notebooks is:

We had 21 dollars and we spent 5x on the notebooks, this can be express as:

Finally we know that this is equal to the six dollars we had at the end, then we have the equations:

Solving for x we have:

Therefore each notebook cost $3

If Kimaya does not buy any Pineapple then the cost of the Mangos will be 12 and for p the equation is p = 6 - 0.5m.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Mangos, m, cost $1.50 each. Pineapples, p, cost $3.00 each. She wants to spend $18

1.5m+3p=18

After solving:

m = [1/1.5](18 - 3p)

m = 12 - 2p

If Kimaya does not buy any Pineapple then the cost of the Mangos will be 12 and -2 represents the slope.

m = 12 - 2p

p = 6 - 0.5m

Thus, if Kimaya does not buy any Pineapple then the cost of the Mangos will be 12 and for p the equation is p = 6 - 0.5m.

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Nominal measurement is used to assign a category or label, Ordinal is used to rank objects in a specific order, Interval is used to indicate distance between two points on a scale and Ratio is used to indicate proportion of one quantity to another.

Measurements are a way of quantifying certain characteristics of an object or phenomenon. There are different types of measurements, each with their own characteristics and uses. The four main types of measurements are nominal, ordinal, interval, and ratio.

Nominal measurements are used to assign a category or label to an object or phenomenon. For example, the colors of a rainbow (red, orange, yellow, green, blue, indigo, and violet) are a nominal measurement because they are simply labels, and there is no inherent order or difference between them.

Ordinal measurements are used to rank objects or phenomena in a specific order. For example, the ranks of a military organization (private, corporal, sergeant, captain, etc.) are an ordinal measurement because they indicate a specific order, but there may not be a consistent difference between the ranks.

Interval measurements are used to indicate the distance between two points on a scale. For example, temperature measured in degrees Celsius is an interval measurement because it tells us the difference in temperature between two points, such as 20 degrees Celsius and 30 degrees Celsius, but there is no true zero point on the scale (absolute zero is not 0 degrees Celsius).

Ratio measurements are used to indicate the proportion of one quantity to another. For example, weight measured in kilograms is a ratio measurement because it tells us the proportion of one weight to another, such as one person weighing 50 kilograms and another person weighing 100 kilograms, and there is a true zero point on the scale (0 kilograms).

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Answer:

No it is not the same

Step-by-step explanation:

A real number is any number, positive or negative, whole number or decimal.

(EX) 1, 1.00567, -2, -2.659365

Any number!

Answer:

x = 30

Step-by-step explanation:

The interior angles of a triangle must always add up to 180.

2x + 2x + 3x - 30 = 180

Add 30 to both sides to seperate variables.

2x + 2x + 3x = 210

Combine like terms.

7x = 210

Divide by 7 to isolate x.

x = 30

By evaluating a cost equation, we will see that Sam needs to pay $4.17

We know that one pound of chocolate costs $6.95, then we have the cost equation:

y = $6.95*x

Where y is the cost and x is the number of pounds of chocolate that you want to buy.

So, if you want to buy 0.6 of a pound, then we have x = 0.6

Then we can evaluate the equation to get:

y = $6.95*0.6

y = $4.17

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

Hi, not sure of what you're asking here?

Step-by-step explanation:

Try rephrasing it??

Answer:

x=17,x=5

Step-by-step explanation:

Answer:

64\ units^{3}

Step-by-step explanation:

we have

V=s^{3}

This is the formula to calculate the volume of a cube

where

s is the length side of the cube

In this problem we have

s=4\ units

substitute

V=4^{3}=64\ units^{3}

Answer:

125/1000

Step-by-step explanation:

The distance Leah would have to walk home is 1.5 miles

From the question, we are to determine the distance Leah will have to walk home

From the given information,

Price of journey in pounds = 3 + 2 × distance in miles

Let the distance be d

Then,

Price of journey in pounds = 3 + 2d

Since Leah has £5, we can write that

5 = 3 + 2d

5 - 3 = 2d

2 = 2d

∴ d = 2/2

d = 1 mile

This means her money can only cover 1 mile

But the journey to her home is 2.5 miles

Therefore, she will have to walk

2.5 mile - 1 mile  = 1.5 miles

Hence, the distance Leah would have to walk home is 1.5 miles

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The explicit solution for y = e^(x^2/2).

The explicit solution for the given differential equation is y = e^(x^2/2) * e^(C), where C is an integral constant. Substituting the initial condition, y(0) = 1, gives C = 0, thus the solution is y = e^(x^2/2).

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Answer:

I am not sure but i think it is D

Answer:

B

Step-by-step explanation:

Because angle F is equal angle G, 2x+4=3x. Solving for x, we get 4.

what is the rate of increase of the function f(x) = 1/3(^3 √24)^2x

Answer:

it's grade 2

Step-by-step explanation:

this is because 29-40 is grade 2

Answer:

a grade 2

Step-by-step explanation:

because 29-40 marks is a grade 2 lol.

7.051 can be written as the fraction 7051/1000.

To express 7.051 as a fraction in the form of p/q, we need to identify the decimal places and convert them to the corresponding fractional parts.

Since 7.051 has three decimal places, we multiply it by 1000 to move the decimal point three places to the right, which gives us 7051.

Now, the numerator (p) of the fraction will be 7051, and the denominator (q) will be the corresponding power of 10, which is 1000.

Therefore, 7.051 can be expressed as 7051/1000.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

In this case, the GCD of 7051 and 1000 is 1, so the fraction is already in its simplest form.

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All the Options (1, 2, 3) are correct i.e., A is always similar to A. and  If A is most similar to B, then we can say B is similar to A. and at last If A is most similar to B and B is also similar to C, then A must be similar to C matrix.

Properties of Similar square Matrices : Similar matrices percentage many residences and it's miles those theorems that justify the selection of the word ``similar.'' First we can display that similarity is an equivalence relation. Equivalence members of the family are essential withinside the have a look at of diverse algebras and might continually be seemed as a sort of susceptible model of equality.

Sort of alike, however now no longer pretty equal. The perception of matrices being row-equal is an instance of an equivalence relation we were operating with on account. Row-equal matrices aren't equal, however they may be lots alike. For instance, row-equal matrices have the identical rank. Formally, an equivalence relation calls for 3 situations hold: reflexive, symmetric and transitive. We will illustrate those as we show that similarity is an equivalence relation.

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Answer:

There are 16 unit squares on the geoboard. Each unit square represents 5 meters, so the total area is 16*5 = 80 square meters.

Here is a diagram of the geoboard with the unit squares labeled:

[Image of a geoboard with 16 unit squares labeled]

I hope this helps! Let me know if you have any other questions.

The total of their age be in three years time is 40 years.

As per the given data:

The total of the age of Ann, Bob and Chri is 31 years.

Let the present age of Ann is 'x' years.

Then the age of Ann after 3 years will be x+3

Let the present age of Bob is 'y' years.

Then the age of Bob after 3 years will be y+3

Let the present age of Chri is 'z' years.

Then the age of Chri after 3 years will be z+3.

The total of the age of Ann, Bob and Chri is 31 years.

x + y + z = 31.....(i)

The total of the age of Ann, Bob and Chri after 3 years is ( x + 3 + y + 3 + z + 3 ) years.

= ( x + 3 + y + 3 + z + 3 )

= ( x + y + z + 9 )

From equation (i)..... ( x + y + z = 31 )

= 31 + 9

= 40 years

Therefore the answer is 40 years.

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To show that {1, 2-t, 2-t-t²} are linearly independent, we need to show that the equation c₁(1) + c₂(2-t) + c₃(2-t-t²) = 0 only has the trivial solution c₁ = c₂ = c₃ = 0.

[1] To show that {1, 2-t, 2-t-t²} are linearly independent, we set up the equation c₁(1) + c₂(2-t) + c₃(2-t-t²) = 0, and solve for c₁, c₂, and c₃. If the only solution is c₁ = c₂ = c₃ = 0, then the vectors are linearly independent.

[2] To find the change-of-coordinate matrix from E to B, we express each vector in B as a linear combination of the vectors in E: 1 = 1(1) + 0(t) + 0(t²), 2 - t = 0(1) + 1(t) + 0(t²), and 2 - t - t² = 0(1) + 0(t) + 1(t²). We arrange the coefficients of E as columns of the matrix.

[3] To find the E-coordinates of q(t), we multiply the coordinate vector of [q]B by the change-of-coordinate matrix from B to E. The coordinate vector [q]B is obtained by expressing q(t) = α + α₁t + α₂t² as a linear combination of the vectors in B: q(t) = α(1) + (α₁-α) (2-t) + α₂(2-t-t²).

[4] To find the B-coordinates of p(t) = -4+t+t², we first find the E-coordinates of p(t) using the standard basis E: p(t) = -4(1) + 1(t) + 1(t²). Then, we multiply the coordinate vector of [p]E by the change-of-coordinate matrix from E to B to obtain the B-coordinates of p(t).

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Answer:

c²=a²+b²-2bx

Step-by-step explanation:

Given,

h²=a²-x²

We need to plug this equation into

c²=h²+b²-2bx+x²

We can replace h² and we get

c²=a²-x²+b²-2bx+x²

Now， we can cancel the terms

c²=a²+b²-2bx

So we get after simplification as

c²=a²+b²-2bx

Answer:

A. C2 = a2 - x2 + b2 - 2bx + x2

Step-by-step explanation:

Hope this helps whoever needs it