In 2010, The Population Of A City Was 233,000. From 2010 To 2015, The Population Grew By 7%. From 2015 (2024)

The equation of a line that has a slope of 1/6 and it passes through the point (-6, 6) is y = x/6 + 7.

What is the slope-intercept form?

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.

From the information provided above, we have the following slope and data points on the line:

Points = (-6, 6).

Slope, m = 1/6

At data point (-6, 6), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

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

y - 6 = x/6 + 1

y = x/6 + 1 + 6

y = x/6 + 7

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When ΔABC ∼ΔFGH with a scale factor of 1 to 3. and the side lengths of ΔABC are 3cm, 4cm, and 5cm. The side lengths of ΔFGH will be

d. 9cm, 12cm, 15cm

What is dilation of triangles?

Dilation is a method for generating similar figures. By multiplying distances by the scale factor, each point is stretched outward from the central point D. (If the scaling factor is more than 1),

In the problem the scale factor is 3 this means that the lengths of the image of the dilation which is Δ FGH, will all increase by a factor of 3

Therefore

length 3 cm * 3 = 9 cm

length 4 cm * 3 = 12 cm

length 5 cm * 3 = 15 cm

hence the new length is 9cm, 12cm, 15cm

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The sprinter's distance can be represented by x(t) and elapsed time by t(x), but the rocket ship's distance to earth cannot be represented as a function of elapsed time or vice versa.

a) Yes, the sprinter's distance traveled as a function of elapsed time can be represented by a function x(t). This is because for every elapsed time t, there is a corresponding distance x that the sprinter has traveled. The function t(x), representing elapsed time as a function of distance traveled, can also be defined. This function would give the elapsed time t corresponding to a given distance x traveled. Both functions x(t) and t(x) are invertible, meaning that one can be obtained from the other by algebraic manipulation.

b) The ship's distance to Earth is not a function of elapsed time, as the ship's velocity is not constant. This means that the distance traveled by the ship is not dependent solely on elapsed time. On the other hand, elapsed time is a function of the ship's distance to Earth, as the velocity of the ship can be determined from its position and the elapsed time. The function t(x) would give the elapsed time t corresponding to a given distance x from Earth.

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Answer:

No, 3 tsp is the same as 1 tbsp.

No, 1 tablespoon is equal to 3 teaspoons, in unit of measurement.

What is unit of measurement?

A unit of measurement is a predetermined, legally recognised, and commonly used magnitude of a quantity that is used as a standard when comparing other quantities of the same kind. A multiple of the measurement unit can be used to express any additional quantity of that type.

An example of a physical quantity is length. "M" is an abbreviation for "metre," a measurement that represents a particular, predetermined length. A length that is 10 times the precise, predetermined length known as "metre" is referred to as "10 metres" (or 10 m).

Human endeavour has relied on the definition, acceptance, and practical application of units of measurement from antiquity to the present.

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Answer:

10

Step-by-step explanation:

2x+3y=6-8=1

3x+y=2

(-4,0)=4

(2,-4)=2

(5,-6)=1

(8,-8)=0

1+2+4+2+1+0=10

Answer:

its (2, −4).

Step-by-step explanation:

i took the test x

We can calculate the Cross Product this way:

So the length is: the length of a times the length of b times the sine of the angle between a and b, Then we multiply by the vector n so it heads in the correct direction (at right angles to both a and b).

The cross product formula is a mathematical tool used in vector calculus to find the vector perpendicular to two given vectors. The cross product formula is a fundamental tool used in various fields such as physics, engineering, and computer graphics.

The cross product formula is used to find the vector perpendicular to two given vectors. This vector is often referred to as the cross product or the vector product. The cross product formula is defined as:

A × B = |A| |B| sin θ n

where A and B are the two given vectors, θ is the angle between the vectors, |A| and |B| are the magnitudes of the vectors, and n is a unit vector perpendicular to the plane defined by A and B. The magnitude of the cross product is equal to the area of the parallelogram defined by the vectors A and B.

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IU grading scale refers to the grading system used by Indiana University to evaluate the performance of its students.

The IU grading scale is a numerical grading system, where each letter grade is assigned a numerical value.

The grades range from A+ (4.0) to F (0.0), with A+ being the highest possible grade and F being the lowest. The grades in between A+ and F include A (4.0), A- (3.7), B+ (3.3), B (3.0), B- (2.7), C+ (2.3), C (2.0), C- (1.7), D+ (1.3), D (1.0), and D- (0.7).

Each course taken at Indiana University is assigned a letter grade based on the student's performance in the course, and these grades are used to calculate the student's overall grade point average (GPA), which represents their academic standing at the university.

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The basic formula to convert radians to degrees is degrees = radians x 180/π .

Radians and degrees are both units of measurement used to express angles in mathematics and physics. The main difference between them is that radians are based on the radius of a circle, while degrees are based on the circumference of a circle.

A full circle is equal to 2π radians, which is equivalent to 360 degrees. To convert radians to degrees, you can use the conversion factor of 180/π. By multiplying the number of radians by this factor, you will get the number of degrees.

For example, if you want to convert 2π radians to degrees, you can multiply 2π by 180/π, which gives you 360.

It's important to note that many programming languages and calculator have built-in functions to convert radians to degrees and vice versa, so you can use that if you have access to them.

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Answer: r - 3.5 <= 10

Step-by-step explanation:

-12 - 3.5 = -15.5
-15.5 <= 10

In triangle JKL the measurement of line segment KJ is obtained as 22 units.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

Two triangles - ΔJKL and ΔPQR is given.

It is given that both the triangles are similar.

In ΔJKL, the ∠LJK = 35° and in ΔPQR, the ∠RPQ = 35°.

In ΔJKL, the measurement of line segment LJ is = 28 units

In ΔJKL, the measurement of line segment KJ is = x units

In ΔPQR, the measurement of line segment RP is = 42 units

In ΔPQR, the measurement of line segment QP is = 33 units

To find the value of x use the method of indirect measurement.

According to the rule of indirect measurement -

LJ/RP = KJ/33

Substituting the values into the equation -

28 / 42 = x / 33

28 × 33 = 42x

x = (28 × 33) / 42

x = 924 / 42

x = 22 units

Therefore, the measurement of x is 22 units.

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Answer:

D. -154.40

Step-by-step explanation:

Take 154.40, and just add a negative sign in front of it

Answer: D

Step-by-step explanation:

If it is below 0, it is negative. You take the key phrase "below zero" and use it to find that the number is negative.

Answer:

x = - 54

Step-by-step explanation:

- 4(2x + 9) + 3x = 6 - 4(x - 3) ← distribute parenthesis on both sides and simplify

- 8x - 36 + 3x = 6 - 4x + 12

- 5x - 36 = - 4x + 18 ( add 4x to both sides )

- x - 36 = 18 ( add 36 to both sides )

- x = 54 ( multiply both sides by - 1 )

x = - 54

Answer:

15 2/3

Step-by-step explanation:

1 x 2/3 + 15=2/3+15=15 2/3

Answer: 15 2/3

Step-by-step explanation:

1. Times the 1 and the two-thirds.

1 * 2/3 = 2/3

2. Add two-thirds and fifteen.

2/3 + 15 = 15 2/3

The type of transformation that maps triangle ABC in to triangle A'B'C' is reflection

When triangle A'B'C' is reflected across line x = -2 to form triangle A'' B''C''. vertex B'' of triangle A''B''C'' will have same coordinates as B'

What is transformation in coordinate geometry?

A transformation in a coordinate plane is a function that converts inputs (pre- image points) to outputs (image points) (outputs). Because the pre-image and the image are congruent for each of those transformations, translations, reflections, and rotations all preserve distance and angle measure.

The transformation known as reflection flips a shape in a mirror line, also known as a line of reflection, such that each point is at the same distance from the mirror line as its reflected point.

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Answer: 6:15 > 30:80

Step-by-step explanation:

Answer:

Step-by-step explanation:

>

The measure of angle CDE from the given pentagon is 155°.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, l║m.

Here, ∠BAE= 57° (Alternate interior angles are equal)

Now, 57°+∠CBA=180°

∠CBA=123°

In pentagon, ∠BAE+∠CBA+∠BCD+∠CDE+∠AED=540°

57°+123°+115°+∠CDE+90°=540°

385°+∠CDE=540°

∠CDE=540°-385°

∠CDE=155°

Therefore, the measure of angle CDE from the given pentagon is 155°.

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The total sales for the week is $9000

How to determine the total sales

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

Commission percentage = 14%

Earnings in commission = $1260

The above parameters mean that

Sales = Earnings in commission/Commission percentage

Substitute the known values in the above equation, so, we have the following representation

Sales = 1260/14%

Evaluate

Sales = 9000

Hence, the sales is $9000

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Answer:

A. The number of mugs that fit four to a box.

Answer:

A. The number of mugs that fit four to a box

Step-by-step explanation:

This equation is solving for x, the number of mugs, by dividing 55 (the number of boxes) by 4 (the number of mugs per box). So, x÷4=55 means that x, the number of mugs, is equal to 55 boxes times 4 mugs per box.

Answer:

No, Joe is not correct. The correct way to calculate the percent change is to take the ratio of the difference between the number of emails received in November and October to the number of emails received in October, and then multiply that ratio by 100%. Using that method, the percent change would be (177-120)/120 * 100% = 47.5%, which rounded to the nearest whole percent is 48%.

The least integer is 15 in the given arithmetic question

What is integer?

Any number that is not zero, a positive natural number, or a negative number denoted by a minus sign is an integer. The opposites of their corresponding positive numbers, the negative numbers are additive. The blackboard bold [tex]\mathbb {Z}[/tex] or boldface Z are frequently used in mathematical notation to represent a set of integers.

Find the smallest positive integer such that 2940 is a perfect cube i such that 2940 is a perfect cube

2940=2×2×3×5×7×7

⇒2940=2²×7²×3×5

when we multiply by(3×5=15)then 2940 is a perfect square

The least integer is 15

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To show the number of inches the plant grew, the expression will be 8-x.

What is meant by expression?

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression in mathematics.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math.

Expression is a term used in mathematics to describe a grouping of numbers, variables, and operators that illustrates the value of something. A mathematical statement that has two expressions that are equal is known as an equation. A phrase fragment can be used as an expression to represent a single numerical value.

To show the number of inches the plant grew, it will be 8-x.

As 8 > x.

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A Matrix Derivatives cheat sheet is a compact, easy-to-use reference guide that provides the formulas for taking derivatives of matrices. The sheet typically summarizes the rules for differentiation of matrices, including the differentiation of matrix functions, matrix-valued functions, and vector-valued functions.

In mathematics, derivatives are used to determine the rate of change of a function. The same concepts apply when taking derivatives of matrices, which are arrays of numbers. Matrix derivatives are essential in many fields, including machine learning, engineering, and physics, where they are used to model dynamic systems and study the relationship between variables.

The matrix derivatives cheat sheet provides a quick reference for the most common matrix differentiation formulas. It is particularly useful for students and professionals who need to perform matrix derivatives on a regular basis, as it provides a convenient and accessible way to look up the formulas and avoid the need for extensive memorization.

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The diameter of the ic 1101 is 50 times larger than the diameter of the Milky Way

A diameter is a line that passes through the center of a circle or sphere and touches either end of the circle.

To determine how many times larger the diameter of the ic 1101 is greater than the diameter of the Milky way, we would divide the diameter of the ic 1101 by the diameter of the Milky way

Diameter of the ic 1101 / diameter of the Milky way

5x10^22 ÷ 1x10^21

5 ÷ 1 = 5

10^22 - 10^21 = 10^1

5 x 10^1 = 50

1 dL is equivalent to 100 mL.

The liter (L) is a unit of measurement of volume and is part of the International System of Units (SI). The liter is broken down into smaller units such as deciliters (dL) and milliliters (mL). A deciliter is 1/10th of a liter, and a milliliter is 1/1000th of a liter.

Therefore, 1 dL is equal to 0.1 L and 100 mL is equal to 0.1 L.It's important to be aware of the units of measurement when measuring liquid volume, especially when you're following a recipe or measuring medication doses.

In some countries, recipes will use dL and mL, while in others, such as the US, recipes often use cups, ounces and pints. It's important to be able to convert between units of measurement in order to accurately measure ingredients and other liquids.

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The point will be 90 degrees clockwise from the original figure, and the angle between the original and the rotated figure will be 90 degrees.

In order to rotate a figure 90 degrees clockwise about a point, you need to use the coordinate plane and apply the transformation matrix, which is a set of mathematical equations that describe the changes in the x and y coordinates of the figure.

First, you need to choose a point of rotation, which is a point around which the figure will be rotated. This point is usually denoted as the origin (0,0) in the coordinate plane. Next, you need to find the coordinates of the vertices of the figure and then apply the transformation matrix to each vertex.

The transformation matrix for a 90 degree clockwise rotation is:

x' = -y

y' = x

where x and y are the original coordinates of the vertex, and x' and y' are the new coordinates after the rotation. To apply this matrix, you simply need to multiply the original x and y coordinates by the corresponding elements of the matrix and then add the results to the origin.

Finally, you need to connect the vertices to form the new image of the figure after the rotation.

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Answer: A. 2x+2y

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

The half angle formula is a mathematical formula used to find the sine, cosine, or tangent of half of an angle in a right triangle.

In a right triangle, the half angle formula allows you to find the value of one of the trigonometric functions for half of an angle based on the value of that same function for the full angle.

This can be useful when trying to simplify or solve more complex trigonometry problems.

For example, if you know the sine of an angle in a right triangle, you can use the half angle formula to find the sine of half of that angle. This can help you to find other values in the triangle, such as the cosine or tangent.

To use the half angle formula, you first need to determine which trigonometric function you want to find for half of the angle.

Then, you use the formula for that function to find the value of the trigonometric function for half of the angle based on the value of that same function for the full angle.

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Answer:

2 and 5 are correct, the rest are not.

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

8/3 = 2 2/3