how many milligrams are in a millimeter

Answer: The formula to calculate simple interest is:

I = P * r * t

where:

- I is the interest earned

- P is the principal amount (the initial investment)

- r is the annual interest rate (as a decimal)

- t is the time in years

- To calculate the total amount in the account after the interest is earned, you need to add the interest earned to the principal amount.

So for Mrs. Baxter's investment, the calculation would be:

P = 2000 (the principal)

r = 0.05 (the annual interest rate as a decimal)

t = 8 (the time in years)

I = P * r * t = 2000 * 0.05 * 8 = 800

The interest earned over the 8-year period is $800.

The total amount in the account after 8 years would be the principal plus the interest earned:

A = P + I = 2000 + 800 = 2800

So Mrs. Baxter's investment would be worth $2,800 after 8 years.

Step-by-step explanation:

The amount after 8 years with the rate of interest as 5% simple interest is $2800.

What is meant by simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Unlike compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant. Simple interest is a quick and simple approach to figuring out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time.

Given,

The principal amount P = $2000

The rate of interest r = 5% = 5/100 = 0.05

The time period t = 8 years.

We have to find the amount after 8 years using simple interest formula.

Amount A = P(1+rt) = 2000(1+0.05 * 8)

                              = 2000 * 1.4 = $2800.

Therefore the amount after 8 years with the rate of interest as 5% simple interest is $2800.

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Answer: 15

Step-by-step explanation:

first you would subtract -69 by positive 420 to get 15

Answer:

i am sorry i am no se

peack englis

Answer:

m∠FED = 80°

Step-by-step explanation:

The value of kilogram in miles can simply be calculated by dividing the kilometer by 1.609 so 10 kilometers into 6.21371 miles.

In 10k, the "k" stands for kilometres. In terms of miles, 10 kilometres translates to about 6.2 miles, or a half marathon, using the kph to mph conversion. To put that distance into perspective, a 5k is equal to 3.1 miles, or half of it.

So, how does a 10k race go? One of the most well-liked long-distance running competitions is it. Both experienced and novice runners will enjoy the considerable challenge it offers.

A mile on a track consists of four laps, hence a 10k run requires 25 laps. If a 10k event seems a little intimidating, keep in mind that a marathon is 26.2 miles long. By comparison, a 10k seems easy, doesn't it?

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The area in which tulips are planted is 4247.625 square meters.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

To calculate the area of the triangle described as;

= 1/2 x length of the base segment x height of the triangle.

Given:

All the grass patches have equal areas.

From the diagram;

the shape of patch 2 is rectangular.

And the dimensions of the rectangle are 120.5 meters by 70.5 meters.

Two triangles of equal areas are formed by the division of patch 2 diagonally.

The area in which tulips are planted is,

= 1/2 x base x height

= 1/2 x 120.5 x 70.5

= 8495.25/2

= 4247.625 square meters.

Therefore, the area is 4247.625 square meters.

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Answer: 2016

Step-by-step explanation: Since you need to find the area of everything u need to multiply it all h*ft*w (height*width*wide) so 18*14*8=2016

The area of the trapezoid ABCD in square inches would be = 80in² . That is option B.

The formula that can be used to calculate the area of the trapezium = ½ (a+b) ×h

Where a = line ED = 14

b = line AD = 14+4 = 18

height = area of rectangle / width

= 70/14 = 5in

Therefore the area of trapezium ;

= 1/2 ( 14+18)× 5

= 160/2

= 80in²

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Answer:

y = (1/3)x - 4

Step-by-step explanation:

put y on one side

x -3y =12

y =12-x/-3

y=12/-3 -x/-3

y=-4 + 1/3x

chatgpt

Or you could pick any integer larger than this.

=====================================================

Work Shown:

23% = 0.23 in decimal form

x = some positive number

1/x < 0.23

1 < 0.23x .... see note below

0.23x > 1

x > 1/0.23

x > 4.347826 approximately

If x is an integer, then the smallest it can get is x = 5

Check:

Note: The inequality sign does not flip in the 2nd step shown above because x is positive. The sign only flips if we multiplied both sides by a negative value.

The terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².

The starting side refers to the ray on the x-axis, and the terminal side refers to the other ray. A quadrantal angle is one in which the terminal side is "on" the axis.

The amount of rotation from the initial side to the terminal side is used to calculate the angle. The measurement is positive when done in a anticlockwise manner. The measurement is negative when taken anticlockwise. (A negative value for an angle's measure designates the clockwise "direction" of measurement.)

Coterminal angles are those that share the same terminal side when two angles are in standard position.

Given that, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7).

Using the Pythagoras Theorem:

r² = x² + y²

Substitute the values of x and y:

r² = (-5)² + (14pi)²

r = √25 + 196pi²

The value of cos b is given as:

cos b = x/r

cos b = -5/ √25 + 196pi²

Hence, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².

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Answer:

Step-by-step explanation:

An equilateral right-angled triangle is impossible to draw. Equilateral means all the sides measure the exact same length. In a right triangle, by definition, the hypotenuse is longer than either of the other sides. so the last choice is the one you want.

Answer:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

Step-by-step explanation:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

The conversion factor for converting ounces ( oz) to grams ( g) is 28.3495. Thus, the conversion of one ounce to grams is equals to the 28.3495 g.

In order to convert from one unit to the other, we multiply by the conversion factor. One ounce is approximately equal to 28.3495 grams. Ounce is one of the imperial units of mass, while gram is one of the metric units of mass. Thus to convert from ounces to grams, it is required to multiply the ounce-value by 28.3495. Conversly, if we want to convert from grams to ounces, we need to divide the gram-value by 28.3495. For example, if we want to convert x ounces to grams, we would follow the following steps:

Now, we have to convert 1 ounces to grams. That is x = 1 ounces then final result of conversion is

28.3495×1 = 28.3495 grams. Hence, required value is 28.3495 grams.

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The least common denominator is [tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

Reasonable expressions resemble fractions with variable denominators (and often numerators too).

For rational expressions, any value can be entered with the exception of those that set the denominator to 0 (because division by 0 is an undefinable operation).

In other words, all real numbers other than those that make a rational expression's denominator zero are included in the domain of a rational expression.

[tex]x^2-3x-4 = (x-4)(x+1)\\x^2-6x+8 = (x-4)(x-2)[/tex]

The least common denominator is: [tex](x-4)(x+1)(x-2)[/tex]

To add these two rational expressions, we need to rewrite each of them with the LCD as the denominator:

[tex](x^2-3x-4)/(x-4)(x+1) = [(x-4)(x+1)]/(x-4)(x+1)(x-2) = 1/(x-2)\\(x^2-6x+8)/(x-4)(x-2) = [(x-4)(x-2)]/(x-4)(x+1)(x-2) = 1/(x+1)[/tex]

So the sum of the numerators is 1 + 1 = 2.

Therefore,[tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

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Least squares regression makes the sum of the squared prediction errors as small as possible.

By minimizing the sum of the squared variances among the predicted values of the dependent variable and the actual values, least squares regression is a technique used to determine the line or curve that best fits the connection between two variables. A measure of how well a regression line or curve matches the observed data is the sum of squared prediction errors.

It is determined by adding up the squared discrepancies between each observation's actual and anticipated values for the dependent variable. Finding the line or curve that minimises this sum of squared prediction errors is the objective of least squares regression. The least squares regression line offers the best estimate of the relationship among two variables under consideration by minimising the sum of squared prediction errors. So, because it can aid in locating trends, patterns, and connections between variables in a dataset, least squares regression is frequently employed in statistical modelling and data analysis.

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The measure of angle x in the isosceles triangle is 40 degrees.

Let's call the two congruent sides of the isosceles triangle "a" and the remaining side "b". Since the angle opposite one of the congruent sides (let's call it "a") is 70 degrees, the other angle opposite "a" must also be 70 degrees due to the property of isosceles triangles. Let's call this angle "y".

So we have two angles that add up to 140 degrees (70 + 70 = 140). We also know that the sum of the angles in any triangle is always 180 degrees. Therefore, we can find the measure of angle "x" as follows:

x + y + 70 = 180

Substituting y = 70, we get:

x + 70 + 70 = 180

Simplifying the equation, we get:

x + 140 = 180

Subtracting 140 from both sides, we get:

x = 40

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The given question is incomplete, the complete question is :

The angles opposite the congruent sides of an isosceles triangle are congruent. find the value of x in the triangle. show all your work.

Answer:

1. the three sides to a right triangle is hypotenuse, opposite, and adjacent.

2. If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Step-by-step explanation:

hope this helped!!! <3

Answer:

[tex]x=3, x=\frac{17}{4}[/tex]

Step-by-step explanation:

The side opposite to the length of 20 is 7x - 11, whereas the side opposite to an unknown length is 4x - 2. To solve this unknown length, we are given 35 as the total length, so we can do 35-20 = 15, which is the opposite of the length of 4x-2.

Since we know the opposite sides of each side, we can set up these equations since we notice that the lengths are parallel based on what is diagrammed:

[tex]7x-11=20[/tex]

[tex]4x-2=15[/tex]

Now, let's solve for x in [tex]7x-11=20[/tex]:

[tex]7x-11=20[/tex]

[tex]7x=20+11\\7x=21\\x=3[/tex]

Let's solve for x in [tex]4x-2=15[/tex]:

[tex]4x-2=15[/tex]

[tex]4x=15+2\\4x=17\\x=\frac{17}{4}[/tex]

Answer:

Step-by-step explanation:

B vertex

The perimeter of the trapezoid is 100

We would have to solve for the perimeter of the trapezoid.

The perimeter p = sum of the four sides = a + b + c+ d

from the question we have

2 (2x + 8) = 7x - 2

4x + 16 = 7x - 2

- 3x = -16 - 2

x = 6

EF = 2x + 8

= 2(6) + 8

= 12 + 8

= 20

AB = 7x - 2

= 42 - 2

= 40

AE = 1/2AC = 1/2AB = 20

BF = 1/2 CB = 1/2 AB = 20

The perimeter would be

20 + 20 + 20 + 40

= 100

The perimeter = 100

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There are 28 dozens of eggs.

The number of dozens of eggs is obtained applying the proportions in the context of the problem.

Each dozen is composed by 12 eggs, hence the number of dozens in n eggs is obtained dividing n by 12.

Then the number of dozens in 336 eggs is obtained as follows:

336/12 = 28 dozens of eggs.

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The equation that could be solved to get the same answer is B 5(x+23)=44.5

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

WE are given that Julia correctly solved a math problem by first dividing 44.5 by 5, then subtracting 23 from the answer.

First;

44.5 /5 = 8.9

Then subtracting 23 from it

8.9 - 23

= 14.1

Therefore, we can write as 5(x+23)=44.5

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-4m < 28. Divide both sides of the inequality by -4. Since we are dividing by a negative number, we need to reverse the inequality sign. m > -7. The solution to the inequality -4m < 28 is "m > -7".

To solve the inequality -4m < 28, we need to isolate the variable "m" on one side of the inequality sign. We can do this by dividing both sides of the inequality by -4. However, since we are dividing by a negative number, we need to reverse the inequality sign. After simplifying, we get the solution m > -7, which means that any value of "m" that is greater than -7 would satisfy the inequality. In other words, all values of "m" that are greater than -7 would make the inequality -4m < 28 true. Understanding how to solve inequalities is important in various mathematical fields such as algebra, calculus, and optimization.

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The solution to the equation −3 + 5a = 4a − 10 is a = -7.  

First, we will start by subtracting 5a from both sides of the equation. This is the inverse operation of adding 5a to both sides. By subtracting 5a, the left side of the equation becomes -3 and the right side of the equation becomes -10.

=>−3 + 5a -5a = 4a - 5a − 10

=> -3 = -a - 10

So, we will add 3 to both sides of the equation. This will make the left side of the equation 0, and the right side of the equation -7.

=> -a = 7

Now that the equation reads a = -7, we can use the inverse operation of multiplication, which is division, to get the variable a on one side of the equation and the numbers on the other side.

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Complete Question:

Equations w/ variable on both sides Solve each equation.

1) −3 + 5a = 4a − 10

Answer: y = 0.1x^2 - 0.8x + 1.2

hope this helped

The maximum distance as function of the quantity of gallons of gasoline the required expression is: x = 0.2272 . n

Distances between two things or places can sometimes be measured qualitatively and sometimes quantitatively. A physical length or an estimate based on other criteria might be referred to as distance in physics or everyday language. The entire movement of an item, independent of direction, is called distance. No matter where an item starts or ends, distance may be described as the amount of ground it has covered.

The maximum distance as function of the quantity of gallons of gasoline is estimated by the following linear model:

x = (14,430 km / 63500 gallons) . n

Finally, the required expression is:

x = 0.2272 . n

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To convert mcg to mg, divide the mcg value by 1000. Therefore:

1000 mcg = 1000/1000 mg = 1 mg

So, 1000 mcg is equal to 1 mg.



Answer:

To simplify 5x(12+7) using distributive property, we can distribute the 5x to each term inside the parentheses, which means multiplying 5x by 12 and by 7, and then adding the two resulting products. This is because the distributive property states that:

Step-by-step explanation:

= 95

The distributive property states that for any real numbers a, b, and c,

a × (b + c) = a × b + a × c.

5x(12+7) using distributive property

5x(12) + 5x(7)

60 + 35

95

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Answer:

9.5 in

Step-by-step explanation:

in order to calculate the area of the triangle, you are required to times the base with height and divide it by 2.

For this instance, 6.8 in X (unknown base) / 2 = 32.30

So what you need to do is times the 32.3 by 2 to get 64.6

Then divide the 64.6 by 6.8 to get the base

WHICH GETS YOU 9.5

hope this helps

If the circumference is, for example, 18π units, then the diameter would be 3π units.

What is the circumference of the circle?

The circumference of a circle is the distance around the outside of the circle. It is like the perimeter of other shapes like squares. You can think of it as the line that defines the shape.

If one measurement of a circle is about 6 times another measurement, we can express this relationship mathematically as:

L = 6R

where L is the larger measurement (such as the circumference or the diameter) and R is the smaller measurement (such as the radius).

To solve for R, we can divide both sides of the equation by 6:

L/6 = R

So the smaller measurement, R, is equal to the larger measurement, L, divided by 6.

For example, if the circumference of a circle is about 6 times its diameter, we can use the formula for the circumference of a circle, C = πd, where d is the diameter:

C = πd

6d = πd (since C is about 6 times d)

6d/d = πd/d (dividing both sides by d)

6 = π

So the ratio of the circumference to the diameter of this circle is 6:1, which is approximately equal to the value of π. In this case, the diameter is the smaller measurement and the circumference is about 6 times the diameter. To find the diameter, we can divide the circumference by 6:

d = C/6

Hence, if the circumference is, for example, 18π units, then the diameter would be 3π units.

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