To the nearest **percentage **point, Lupita's retirement funds increased by 44% from June to July.

A percentage is a term used in mathematics to describe a value or **ratio **that may be expressed as a **fraction **of 100. If we need to calculate a percentage of a number, we should first divide it by 100 before multiplying it by the remainder. Consequently, the percentage refers to a portion per hundred.

Given that Lupita had $115 in her bank account at the beginning of June

The amount Lupita had set aside climbed to $165 in July.

We are expected to calculate the percentage growth in money.

% increase

[tex]= {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%[/tex]

To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.

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If you vertically compress the absolute value parent function, f(x) = |x|, by a

factor of 5, what is the equation of the new function?

O A. g(x) = x

OB. g(x) = 5|x|

OC. g(x) = 15x1

OD. g(x)= x - 51

The image of **absolute value function** f(x) = |x| by **rigid transformation** is g(x) = 5 · |x|. (Correct choice: **B**)

How to apply compressions on functions

In this case we must derive the image of a **absolute value function** by means of a **rigid transformation** known as **vertical** **compression**, defined as:

f(x) = |x| → g(x) = k · |x|, where k > 0, k ≠ 1

There is enlargement for k > 1 and contraction for 0 < k < 1. Herein we find an enlargement case (k = 5), then the image of function f(x) = |x| is equal to:

g(x) = 5 · |x|

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A quadratic equation has solutions of (4+i) and (4−i). Which could represent the quadratic equation?

The **quadratic equation** with solutions of (4 + i) and (4- i) is,

⇒ x² - 8x + 17 = 0

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The **solutions **of the quadratic equation are,

⇒ (4 + i) and (4- i)

Now, We know that;

A quadratic equation with roots a and b is,

⇒ x² - (a + b)x + a × b = 0

Hence, A quadratic equation with **roots **(4 + i) and (4 - i) is,

⇒ x² - (4 + i + 4 - i)x + (4 + i) (4 - i) = 0

⇒ x² - 8x + (4² - i²) = 0

⇒ x² - 8x + 16 + 1 = 0

⇒ x² - 8x + 17 = 0

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I need help on this question I have attached it on this assignment. THX

Answer:

I) 5575

ii) 312.50

b) 345

Step-by-step explanation:

I)11.15(500)=5575

ii) 1.25(250)=312.50

b) 407.10/1.18 = 345

The general equation for depreciation is given by y = A(1 – r)t, where y = current value,

A = original cost, r = rate of depreciation, and t = time, in years.

The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years?

Using the general equation for **depreciation **which is y = A(1 – r)^t, The value of the **car **in 4 years is $12528.15

The value of the **car **is solved by using the formula for **depreciation **which is y = A(1 – r)t

definition of variables

where

y = current value, = ?

A = **original cost**, = $24,000

r = **rate **of **depreciation**, = 15% and

t = time, in years. = 4 years

substituting the variables

current value, y = A(1 – r)t

current value, y = 24000 * (1 - 0.15)⁴

current value, y = 12528.15

the depreciation is $12528.15

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Don Richie goes bowling. • He has $25.00 to spend. • He spends $5.00 to rent shoes • He spends $2.50 for each game he bowls

Write and solve an equation to show how many games Don Richie can bowl.

**Answer:**

**Let x be the number of games Don can bowl.**

**We can write the equation as:**

**25 - 5 - 2.5x = 0**

**This equation represents the total amount of money Don has, minus the cost of renting shoes, minus the cost of each game he bowls, which should equal zero if he wants to spend all of his money.**

**Solving for x, we get:**

**25 - 5 - 2.5x = 0**

**2.5x = 20**

**x = 8**

**Don can bowl 8 games.**

**Step-by-step explanation:**

Hope this helps (:

Solve the system of equations using substitution. 3x + 2y = 7 x = 3y + 6 (0, −2) (1, 2) (3, −1) (6, 0)

**Answer:**

(3, −1)

**Step-by-step explanation:**

I did the test

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEE. Which statement best describes a graph of paired points that form a proportional relationship? Responses A straight line cannot be drawn through all the points, and the line passes through the origin. A straight line cannot be drawn through all the points, and the line passes through the origin. A straight line can be drawn through all the points, and the line passes through the point (3, 0). A straight line can be drawn through all the points, and the line passes through the point , begin ordered pair 3 comma 0 end ordered pair, . A straight line can be drawn through all the points, and the line passes through the point where x = 0 and y = 0. A straight line can be drawn through all the points, and the line passes through the point where , x, = 0 and , y, = 0. A straight line can be drawn through all of the the points, but the line does not pass through the origin.

A **graph** of paired points that form a **proportional** relationship is a straight line that can be drawn through all the points, and the line passes through

the point where, x, = 0 and, y, = 0.

What are coordinates in a graph?The **coordinates** in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The equation of a line on a graph that forms a **straight** line and forms a **proportional** relationship will have to pass through the **origin**.

origin = (x, y) = (0, 0)

Thus,

The **graph** of paired points that form a **proportional** relationship is a straight line that can be drawn through all the points, and the line passes through the **origin**.

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Two random number generators each generate a number from 1 to 10. What is the probability that both number generators generated the number 5? (Give your answer as a percentage, decimal or fraction in simplest form.)

The **probability** that both **numbers** generated the number '5' is 1/100

A **probability** is a number that reflects the chance or likelihood that a particular event will occur. **Probabilities** can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The **probability** is expressed as : sample space/ total outcome

Two **number** generators can generate **number** from 1 to 10. This means that the total outcome is 10.

The **number** 5 has a sample space of 1 in the generated **numbers**.

Therefore the **probability** to generate 5 in the first machine = 1/10

The **probability** to generate 5 in the second machine = 1/10

The **probability** to generate 5 in both machines = 1/10 × 1/10 = 1/100.

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A passenger jet flies from one airport to another 1,213 miles away in 2.7 h. Find its average speed.

**Answer:m/s**

**Step-by-step explanation:**

**Answer:**

**To find the average speed of the passenger jet, we need to divide the distance traveled by the time it took to travel that distance.**

**Average speed = distance / time**

**In this case, the distance is 1,213 miles and the time is 2.7 h.**

**Average speed = 1213 miles / 2.7 h = 449.6 miles/h**

**So the average speed of the passenger jet is 449.6 miles per hour.**

Consider points R, S, and T. Point S is in the middle. Point R is below and to the left of point S. Point T is below and to the right of point S. Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points. Mark this and return

**One plane can be drawn**, so it contains all three points.

What is **spherical** **coordinates**?

The **coordinate **system that is most frequently employed in three-**dimensional** systems is called **spherical coordinates **of the **system**, **represented **as (r,Ф,∅ ). The surface area in three **dimensions** is calculated using the **spherical coordinate** system. **Radial **distance, polar angles, and **azimuthal** angle are the three numbers that these coordinates indicate. **Additionally **known as **spherical polar coordinates**.

**Consider **points R, S, and T. Point S is in the middle. Point R is below and to the left of point S.

**Suppose **that the S coordinate is at the origin, that is (0, 0)

The **coordinates** of R and T with respect to S will then be (-x, -y) and (x, -y).

Hence One plane can be drawn, so it contains all three points.

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Student representatives surveyed their classmates on their preference of a school mascot for a new school. The results are shown in the table below. Which pair of samples seems most representative of student preference?

Mascot Survey

Sample 1

Sample 2

Sample 3

Artichokes 15 Artichokes 0 Artichokes 3

Bears 28 Bears 53 Bears 48

Citizens 17 Citizens 7 Citizens 9

Sample 1 and sample 2 are most representative because there is less difference between the numbers of students that chose each mascot.

Sample 2 and sample 3 are most representative because the relationship between preferences is consistent.

Sample 1 and sample 3 are most representative because 0 should not appear in a sample.

None of the samples are representative because none of the values remained constant.

The pair of samples that seems most **representative** of student preference is Sample 2 and sample 3 are most representative because the relationship between** preferences** is consistent. Option 2

In order to get the most** representative preference**, we would have to get the value by subtracting the data in s2 and s3

Such that for antichokes we have 3 - 0 = 3

for bears 53 - 48 = 5

For citizens 9 -7 = 2

Hence the second option is the best solution here. This is as the in choosing the** mascot **is less here.

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**Answer: BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB**

**HAVE A NICE DAY EVERYBODY LEAVE SOME THANKS AND ADD ME AS A FRIEND AND TEXT ME**

**Step-by-step explanation:**

a flooring tile has a shape of a parallelogram Hight is 10cm and base is 24cm how many tiles do you need to fill a room with area 1080 msq

45000 tiles we need to fill a room with **area **1080 m²

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

**Area **of floor =1080m²

Base of parallelogram shaped tile (b) =24 cm

and corresponding **height** (h)=10 cm

Area of one tile=b×h

=24×10

=240 cm²

=240/10000=24/1000 m²

**Number of tiles** required=1080/(24/1000)

=1080×1000/24

=45000 tiles

Hence, 45000 tiles we need to fill a room with **area **1080 m²

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HELP ME PLEASE!!!!!! I NEED IT ASAP.

**Answer:**

14. x = 9.7 cos(17) = 9.28

15. x = cos^-1 (10/16) = 51.32

16. x = 41/tan(35) = 58.55

Question

Evaluate the expression when a=14 and b=6.

−8ab=

**Answer:**

**Step-by-step explanation:**

-672 would be your answer

I have no idea how to figure this out. I've been stuck on it for a while

**Answer:**

**Step-by-step explanation:**

x=-1/2,1/2

**Step-by-step explanation:**

4x^2 - 1 = 0

(2x - 1)(2x + 1)= 0

x = 1/2

x = -1/2

Find m∠ABD and m∠DBC

**Answer:**

m∠ABD=116°

m∠DBC=64°

**Step-by-step explanation:**

The sum of the two angles given equals 180°. To find the two angle measures, use the following equation:

m∠ABD+m∠DBC=180°

For this problem, m∠ABD=(7x+67)° and m∠DBC=(8x+8)°. So,

(7x+67)°+(8x+8)°=180°

15x+75=180

15x=105

x=7

Next, substitute x=7 into the original expressions for the angle measures.

m∠ABD=(7(7)+67)°

m∠ABD=(49+67)°

m∠ABD=116°

and

m∠DBC=(8(7)+8)°

m∠DBC=(56+8)°

m∠DBC=64°

Please help me with this question

The** solution **to the **equation **cosh(t) = t does not exist

The equation is given as

cosh(t) = t

To solve the equation cosh(t) = t, we can start by **expressing **the equation in **terms **of e^t and e^-t.

So, we have"

cosh(t) = (e^t + e^-t)/2 = t.

Rewrite the above equation as

e^t + e^-t = 2t.

Using a **graphing calculator**, the curve of e^t + e^-t and the line of 2t do not **intersect**

Hence, the equation has no **solution**

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If there are 6 lollipops and 36 candy bars for a gift bag, fill out all of the possible

ratios of lollipops to candy bars that could be made.

There are 6 lollipops for every 36 candy bars (6:36 ratio)

lollipops for every candy bars try

There are

Type in an equivalent ratio of lollipops and candy bars.

**Answer:**

6 : 36. You are already said the answer????.

**Step-by-step explanation:**

Let’s look at the ratio 6:36 first.

What do you notice about the two amounts: 6 and 36? Well, 36 is a multiple of 6, since 6•6 (or 6²) equals 36. So, we can reduce the ratio by a factor of 6.

However, let’s determine the percentage of lollipops to candy bars. To do so, we will convert the ratio into a fraction. Remember, fractions are a comparison of parts to a whole, where the whole is the total quantity of something and the numerator is the amount of parts. Therefore, we need to find the total amount of candy, meaning the sum of lollipops and candy bars in order to form a fraction. Thus, we’ll add the ratio quantities together, and that will provide the denominator of the fraction.

6+36=42

We want to see the percentage of lollipops to the total amount of candy, so we’ll use 6 as the numerator. This gives us the fraction:

6/42 = 14.285%

This percentage is important because if it matches the simplified ratio, we have a proportional relationship, which means we have an equivalent ratio. We have already determined that we can reduce the ratio by a factor of 6, so let’s do that:

6:36 ——> 6/6:36:6 ——> 1:6

The simplified ratio is 1:6, so there is 1 lollipop for every candy bar. Let’s make sure the percentage of this ratio shows an equivalent relationship with the original. So, we’ll convert this ratio into a fraction by the same process as the last one: add the two values together and that sum will be the denominator.

1+6=7

1 is the numerator:

1/7 = 14.285%

The percentages are equal, so the answer is: 1:6

What do you notice about the two amounts: 6 and 36? Well, 36 is a multiple of 6, since 6•6 (or 6²) equals 36. So, we can reduce the ratio by a factor of 6.

However, let’s determine the percentage of lollipops to candy bars. To do so, we will convert the ratio into a fraction. Remember, fractions are a comparison of parts to a whole, where the whole is the total quantity of something and the numerator is the amount of parts. Therefore, we need to find the total amount of candy, meaning the sum of lollipops and candy bars in order to form a fraction. Thus, we’ll add the ratio quantities together, and that will provide the denominator of the fraction.

6+36=42

We want to see the percentage of lollipops to the total amount of candy, so we’ll use 6 as the numerator. This gives us the fraction:

6/42 = 14.285%

This percentage is important because if it matches the simplified ratio, we have a proportional relationship, which means we have an equivalent ratio. We have already determined that we can reduce the ratio by a factor of 6, so let’s do that:

6:36 ——> 6/6:36:6 ——> 1:6

The simplified ratio is 1:6, so there is 1 lollipop for every candy bar. Let’s make sure the percentage of this ratio shows an equivalent relationship with the original. So, we’ll convert this ratio into a fraction by the same process as the last one: add the two values together and that sum will be the denominator.

1+6=7

1 is the numerator:

1/7 = 14.285%

The percentages are equal, so the answer is: 1:6

Please answer with a step-by-step explanation!

The **probability **of the first number being divided by the second **number **is **greater **than zero is 1/2.

**Probability **is a way to gauge how likely something is to **happen**. According to the **probability **formula, the likelihood that an event will occur is equal to the **proportion **of positive outcomes to all outcomes. **Probability **that an event will occur P(E) is **equal **to the ratio of **favourable **outcomes to total outcomes. Because the **favourable **number of outcomes can never **exceed **the entire number of outcomes, the **chance **of an event occurring might range from 0 to 1. Additionally, the **proportion **of positive outcomes cannot be **negative**.

Given **four **tiles in a bag with numbers -2, -1, 1, 2

one tile **selected **at random the probability is 1/4

tile **return **to bag and another tile selected,

the **probability **of the second tile is 1/4

total **outcome **for both is 4 x 4 = 16

the ratio of both **numbers **should be positive

outcomes are (-2, -1)(-2, -2)(-1, -1)(-1, -2)(2, 1)(2, 2)(1, 1)(1, 2)

**favourable **outcome are 8

**probability **is 8/16 = 1/2

Hence the **probability **is 1/2

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Select all the expressions that are equal to 89.7 divided by 10 (/=divide)

1. 897.5/100

2. 8.975/100

3.8.975/1

4.8,975/1000

5.89,750/1000

The **expression **that is equal to 89.7 ÷ 10 is 897.5/100

**Expressions **in math are mathematical statements that have a minimum of two terms containing numbers or **variables**, or both, connected by an operator in between.

Given that an **expression **89.7 ÷ 10

89.7 ÷ 10 = 8.97

1. 897.5/100

= 8.97

2. 8.975/100

= 0.08975

3. 8.975/1

= 8.975

4. 8.975/1000

= 0.008975

5. 89.750/1000

= 0.08975

Hence, the **expression **that is equal to 89.7 ÷ 10 is 897.5/100

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Create a problem in which you subtract two five digit numbers to get a difference of 66827

?-?=66,827

**Answer:**

96,100-29273=66,827

**Step-by-step explanation:**

Make up a number higher than 66,827

I chose 96,100

find the difference between the number made up (EX. 96,100)

EX. 96,100- 66,827 = 29273

Then double check your answer as it is easy to make mistakes

96,100-29273=66,827

Answer the question.

**Answer:**

16 boys and 8 girls

**Step-by-step:**

24 / 3 = 8

so 8 girls

24 - 8 = 16

and 16 boys

The first term in a sequence is 5 and the fifth term 17.what is the common difference ?

Using the concept of **arithmetic **progression , We have t(n) = a +(n-1)d **formula**, The answer is 3.

A number sequence is a **series **of numbers that are listed in a particular order. The numbers in a sequence may follow a specific **pattern **or rule. Examples of number sequences include the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, etc.), the Fibonacci sequence (1, 2, 4, 8, 16, 32, etc.), and the triangular number sequence (1, 3, 6, 10, 15, etc.). Number sequences are often studied in mathematics and have many applications in fields such as computer science, engineering, and physics.

An arithmetic progression (AP) is a type of number sequence in which the difference between any two consecutive terms is always the same. This common difference is known as the "common ratio" of the sequence. For example, the sequence 2, 5, 8, 11, 14 is an arithmetic progression because the common difference is 3.

t(n) = a + (n-1)d

n=5

t(5)=17

a=5

17 = 5 +(5-1)d

12=4d

d=12/4 = 3

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Find the missing side of each triangle. Leave your answers in the simplest radical form.

On solving the provided question, we can say that it is a right angle **triangle **x = [tex]\sqrt{5}[/tex]

A triangle is a polygon since it has three sides and **three vertices**. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in **Euclidean geometry** are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here

it is a right angle triangle

so by trigonometry

Sin 90 = [tex]\sqrt{5} / x[/tex]

x = [tex]\sqrt{5}[/tex]

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Just a quick question!

Solve using substitution.

–3x − 4y = 17

x − y = –1

Help please!

**Answer:**

(-3, -2)

**Step-by-step explanation:**

-3x -4y = 17

x -y = -1 Can be rewritten x = y - 1

Substitute y -1 for x into the first equation

-3(y - 1) - 4y = 17 Distribute the -3

-3y + 3 -4y = 17 Combine like terms

-7y + 3 = 17 Subtract 3 from both sides

-7y = 14 Divide both sides by -7

**y = -2**

Substitute -2 for y in x = y -1 to solve for x

x = -2 -1

**x = -3**

**Check**

-3x -4y = 17

-3(-3) - 4(-2) = 17

9 + 8 = 17

17 = 17 checks

x -y = -1

-3 -(-2) = -1

-3 + 2 = -1

-1 = -1 checks

Name the following function.

**Answer: it is not a function**

**Step-by-step explanation: occurs when there was an attempt to call a value from a function, but the value is not actually a function.**

Question content area top left

Part 1

Find the slope of the line.

Question content area bottom left

Part 1

The slope of the line is 22.

(Type an integer or a simplified fraction.)

.

.

.

Question content area right

Part 1

-10

-8

-6

-4

-2

2

4

6

8

10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

The **slope **of the **line **is -5/6 in the **graph**.

The **slope** of a line is how steep it is going from LEFT to RIGHT. Slope is the proportion of a line's rise, or vertical change, to its run, or horizontal change.

No matter which two **points **you choose for the line's starting and ending **points**, the slope is always **constant **(it never changes).

From the given picture we can verify that

x₁ and y₁ is (-4, 6) and x₂ and y₂ is (2, 1).

We know the **slope formula **is y₂ - y₁ = m(x₂ - x₁)

Substituting the given details in formula we get

1 - 6 = m(2 - (-4))

-5 = m(6)

m = -5/6

Thus, the **slope **of the **line **is -5/6.

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the sum of three numbers is 75 the First number is 9 less than the third the second number is 2 times the third what are the numbers

The **value **of the **third **number is 25.5

An** algebraic expression** can be defined as an expression can be defined as an expression that consists of variables, coefficients, terms, constants and factors.

From the information given as;

First number = x - 9second number = 2(x - 9)third number = xNow, substitute the values, we get;

x - 9 + 2(x-9) + x = 75

expand the bracket

x - 9 + 2x - 18 + x = 75

collect like terms

x +2x + x = 75 +27

add or subtract the like terms

4x = 102

Make 'x' the subject of formula by dividing both sides by 4

x = 102/4

x = 25.5

Hence, the **third number **is 25.5

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Complete question

the sum of three numbers is 75 the First number is 9 less than the third the second number is 2 times the third what are the numbers. Find the third number

The three **numbers** are 19, 28 and 56

**Word** **problem** in mathematics is expressing mathematical **problems** in words. In other words, a **word problem** is a verbal description of a **problem** situation wherein one or more questions are posed, the answers to which can be obtained by the application of mathematical operations to information available in the text.

Represent the three **numbers** with x, y, z

x = z-9

y = 2z

x+y+z = 75

substitute 2z for y in x+y+z

2z+x+z = 75

substitute z-9 for x

2z+z-9 = 75

3z- 9 = 75

3z = 75+9

3z = 84

z = 28

y = 2z

y = 2× 28

y = 56

to find the value of x;

x = 28-9

x = 19

therefore the value of the three **numbers** (x,y,z) is 19, 28, 56

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Brianna has a loyalty card good for a 10% discount at her local hardware store. If the

total cost, before tax and discount, of all the items she wants to buy is c, which

expression represents the cost after the discount?

(1-0.2)C expression represents the cost after the **discount**

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for the frame and loading shown, determine the force acting on member abc (a) at b, (b) at c.

The **force** of the thrust loaded and **supported** as **12KN**

By taking into account the equilibrium of the entire truss, it is possible to predict the reaction at the supports. Only the **vertical component** of the reaction at the ends A needs to be taken into account since both external loads are vertical. Given that the angle of the triangle AEC is 90 degrees, it has a** right angle**.

AE = AC cos 60º = 5 X 0.5 = 2.5m

CE = AC sin60º = 5 X 0.866 = 4.33m

Due to the fact that triangle ABE is an **equilateral** triangle,

AB = BC = AE = 2.5m

A right-angle triangle with an angle, the triangle BDC is once again

BDC = 90º

Also, BC = AC – AB = 5 – 2.5 = 2.5m BD = BC cos 60º = 2.5 X 0.5 = 1.25m

path of action of 12 KN force away from joint A,

AG = AB + BG

= AB + BD cos 60º = 2.5 + 1.25 X 0.5 = 3.125m

RC X 5 = 12 X 3.125 + 10 X 1.25 = 50 RC = 10KN ...(i) ∑V = 0, RC + RA = 10 + 12 = 22KN RA

= 12KN

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