Mathematics High School

## Answers

**Answer 1**

The **population growth** from 2010 to 2015 is given as follows:

16,310.

How to obtain the population growth?

The population in **2010 **is given as follows:

233,000.

The population growth from 2010 to 2015, as a **percentage**, is given as follows:

7%.

Hence the **proportion **used to obtain the population in 2015 is given as follows:

100% + 7% = 107% = 1.07.

Then the **population **in 2015 is given as follows:

1.07 x 233000 = 249,310.

Meaning that the **population growth** is calculated as follows:

249,310 - 233,000 = 16,310.

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## Related Questions

a line has a slope of 1/6 and it passes through the point (-6,6). write its equation in slope intercept form

### Answers

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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Given the following information:

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

Which of the following sets of side lengths could be ΔFGH?

a. 6cm, 8cm, 10cm

b. 19cm, 8cm, 10cm

c. 9cm, 16cm, 20cm

d. 9cm, 12cm, 15cm

### Answers

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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Let's Go 1. Based on your understanding of the meaning of function, answer and discuss the following questions. (It may be helpful to draw a graph.) (a) A sprinter races a 100 yard dash in eleven seconds. Can one define a function x(t), representing the distance she has traveled as a function of elapsed time? Can one define a function t(x), representing elapsed time as a function of the distance she has traveled? Explain. (b) A rocket ship flies to the moon and back. Is the ship's distance to earth a function of elapsed time? Is elapsed time a function of the ship's distance to earth? Explain.

### Answers

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 tim**e 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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Is 4 tsp the same as 1 tbsp?

### Answers

**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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Solve the system of equations using elimination. 2x + 3y = −8 3x + y = 2 (−4, 0) (2, −4) (5, −6) (8, −8)

### Answers

**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

How do you use the cross product formula?

### Answers

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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What is IU grading scale?

### Answers

**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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What is the basic formula to convert radians into degrees?

### Answers

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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HELP ME PLS ILL GIVE BRAINLIEST

### Answers

**Answer: r - 3.5 <= 10 **

**Step-by-step explanation:**

-12 - 3.5 = -15.5

-15.5 <= 10

psl plspslpsls help jelp help

### Answers

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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Which decimal below best represents an account balance of $154.40 below zero? A. 154.40 B. -164.40 C. 164.40 D. -154.40

### Answers

**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.

Solve for X.

-4(2x + 9) + 3x =6-4(x-3)

### Answers

**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

Consider the graph of the given functions to determine their end behavior

### Answers

1. As x goes to the right (positive infinity), f(x) increases

2. As x goes to the left (negative infinity), f(x) decreases

1 x 2/3 + 15 please help

### Answers

**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

Please I need this now.

### Answers

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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Compare the two ratios by entering >, <, or = in the box. 6:15 30:80

### Answers

**Answer: 6:15 > 30:80**

**Step-by-step explanation:**

**Answer:**

**Step-by-step explanation:**

** >**

PREVIOUS ANSWER:

18

M

ANGLES OF POLYGONS

Scavenger Hunt

If Ill m. find the

measure of 2CDE:

1

### Answers

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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Jennifer is a textbook sales person last week she earned $1260 in commission how much did she sell for the week if her rate of commission is 14%

### Answers

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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4. Which description below describes the equation

x÷4=55

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

B. Fifty five mugs which will go in four boxes.

C. If each box holds for mugs, then, there are fifty mugs

D. The number of mugs when four are broken

### Answers

**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.

Joe creates a new email account. In October he receives 120 emails and in November he receives 177 emails. Joe says the percent change from October to November is calculated by taking the ratio of the difference between the number of emails received in November and October to the number of emails received in November. Therefore, he says, the percent change, rounded to the nearest whole percent is 32%. Is he correct?

### Answers

**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%.

Written as a product of its prime number 2940 = 4*3*5*14. Find the smallest positive integer i such that 2940i is a perfect cube

### Answers

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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Frank has a plant that measured h inches tall last week. This week the plant is 8 inches tall.

### Answers

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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What is Matrix derivatives cheat sheet

### Answers

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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pls somone tell me the answerrr

### Answers

**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**

Bigger then the diameter of Milky Way

Is 1 dL the same as 100 mL?

### Answers

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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how to rotate a figure 90 degrees clockwise about a point

### Answers

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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I need help asap I will give 30 points!!!

### Answers

**Answer: A. 2x+2y **

**Step-by-step explanation:**

**Answer:**

its d

**Step-by-step explanation:**

What is the half angle formula?

### Answers

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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Please help!

It is about coplanar and collinear, I don't have so much time please help.

### Answers

**Answer:**

2 and 5 are correct, the rest are not.

**Step-by-step explanation:**

Elaine is decorating for a party. She cuts 3 equal length streamers from a strip of purple paper that is 8 feet long. How long is each streamer? Zane chose C as the correct answer.How did he get that answer?

### Answers

**Answer:**

2 2/3

**Step-by-step explanation:**

8/3 = 2 2/3