Mathematics College

## Answers

**Answer 1**

The **false statement **considering the **dilation **is given as follows:

**d) **A'B' = 68 units.

What is a dilation?

A dilation is defined as a non-rigid transformation that **multiplies **the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the **scale factor**.

The **scale factor **for the dilation in this problem is given as follows:

k = 2.

The** length of AB** is given as follows:

AB = 34.

Hence the** length of A'B'** is given as follows:

A'B' = 2 x 34 = 68 units.

Missing Information

The triangle and the options are given by the image presented at the end of the answer.

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## Related Questions

Suppose your net income every month is $3,750. In the 20-50-30 Model, how much of

your net income would be in each category?

Answer in three complete sentences to explain how much of your income is in each category.

### Answers

You have approximately $1,125 to **spend **on **items **that you want but may not **actually **need.

According to the 20-50-30 Model,

20% of your** net income** should be set aside for debt repayment and savings.

As a result, you would allocate $750 of your $3,750 net income to debt repayment and retirement savings.

In the **meantime**, you would set aside $1,875 or 50% of your net income for necessities like **housing**, food, transportation, and utilities.

These are regarded as your essentials or the monthly expenses that are non-negotiable.

The final 30%, or $1,125, would be set aside for your wishes or discretionary costs like **entertainment**, vacation, and other luxuries.

Thus, you have **approximately **$1,125 to spend on items that you want but may **not actually need.**

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11.510 repeating as a fraction.

### Answers

Answer: 11 51/100

Step-by-step explanation:

turn it into a fraction

can someone help me!!

### Answers

**Answer: Therefore, the equivalent expression is -2z + 2, which is option (c).**

**Step-by-step explanation:**

**Simplifying the expression -3z - (-z - 2) by removing the brackets and distributing the negative sign inside the brackets, we get:**

**-3z + z + 2**

**Simplifying further, we can combine the terms with z:**

**-2z + 2**

the width of a rectangle is 5 inches , and the diagonal length of the rectangle is 25 inches.which measurement is closest to the length of this rectangle in inches ?

### Answers

**Step-by-step explanation:**

We need to use Pythagoras Theorem for this. You also didn't add the answed options for me to see which one is the closest but I guess you can compare it yourself with the final answer.

Length² = 25²-5² = 625-25 = 600

Length = root 600 = 10 root 6 = 24.4948 = 24.5

Explained in photo. Thank you.

### Answers

Using **monthly payment formula **and the **rate** given, the amount required for investment is $72,704 annually.

What is monthly payment?

The **monthly payment **is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates.

M = pr / (1 -(1 + r)⁻ⁿ)

Where:

P = the** principal amount** (the original amount borrowed)r = the interest rate per month (APY divided by 12, then divided by 100)n = the number of months to pay off the loan

Substituting the values into the formula;

1,000,000 = p * (0.075) / (1 - (1 + 0.075)⁻³⁵

Solving for p;

p = 72,704

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The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table. Hours after 8 am 1 3 4 6 9 Number of Customers 2 15 18 13 0 Which statement best describes the data?

### Answers

The statement which best describes the **data **given is C) The data can be modeled by a **quadratic function**.

Given a **data**,

The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.

It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.

So this data cannot be modeled by a linear function or an exponential function.

Also since the number of customers arriving is not constant, this cannot be expressed as constant function.

So it is **quadratic function**.

Hence the correct option is c.

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Given vector u equals 15 times open angled bracket cos 45 degrees comma sin 45 degrees close angle bracket comma what are the magnitude and direction of −5u?

75; 225°

75; 135°

−75; −135°

−75; 45°

### Answers

The **magnitude **of −5u is 75 and its **direction **is 225°.

75; 225°

How to find the magnitude and direction

The **vector **−5u is = −5 x u

plugging in the values

= −5(15 cos 45°, 15 sin 45°)

= −75(cos 45°, sin 45°)

The **magnitude **of −5u

|−5u| = |-75(cos 45°, sin 45°)| = 75

The **direction **of −5u is given by the direction of u in the opposite direction

θ = arc tan (y/x) = arc tan (sin 45° / cos 45°) = 45° + 180° = 225°

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What are the missing numbers?

14:8:14 = _ : _ : 9

### Answers

The missing **numbers** that complete the **ratio** 14:8:14 = _ : _ : 9 are 7 and 4.

To find the missing **numbers** in the ratio 14:8:14 = _ : _ : 9, we can use the concept of proportionality.

First, we need to determine the common ratio between the numbers. To do this, we divide each number in the **ratio** by the smallest number, which is 8:

14 ÷ 8 = 1.75

8 ÷ 8 = 1

14 ÷ 8 = 1.75

Now, we can write the **ratio **in terms of the common ratio:

1.75 : 1 : 1.75

we multiply each part of the ratio by a **common factor. **

In this case, we can multiply each part by 4 to obtain whole numbers:

1.75 × 4 = 7

1 × 4 = 4

1.75 × 4 = 7

Therefore, the missing numbers that complete the **ratio** 14:8:14 = _ : _ : 9 are 7 and 4.

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What is the meaning of "all left cosets of H have order |H|" ?

### Answers

If we say that "all left **cosets** of H have order |H|," it means that every left coset of H has the same number of **elements** as H, which is the order of the subgroup H.

How to explain the term

In group **theory**, given a subgroup H of a group G, a left coset of H is a subset of G obtained by multiplying every element of H by a fixed element g of G on the left.

The order of a **subgroup** H is defined as the number of elements in H.

This property of left **cosets** is important because it allows us to partition the group G into a disjoint union of left cosets of H.

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Need help!! See image!

### Answers

The population **mean** is 4.25, population **variance** is 4.6875 and standard deviation is 2.166.

How to calculate the value

In order too find the **population** mean and variance, we can use the formula:

μ = ∑(x * P(x))

= 0*(3/16) + 4*(15/40) + 6*(7/16)

= 4.25

The population **variance** will be:

σ² = ∑[(x - μ)² * P(x)]

= (0 - 4.25)²*(3/16) + (4 - 4.25)²*(15/40) + (6 - 4.25)²*(7/16)

= 4.6875

The population **standard** deviation:

σ = √(σ²) = √(4.6875) = 2.166

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Which of the following is not a characteristic of both experiments and

observational studies?

A. The researcher selects a sample of the population to study.

B. Data are collected about a population.

C. The data collected might be studied for patterns.

D. It can be used to identify cause-and-effect relationships.

### Answers

**Answer:**

**D. It can be used to identify cause-and-effect relationships.**

A student was asked to find the volume of the solid where the inner cylinder is hollow. incorrectly said the volume is 954.56in.3 Find the volume of the solid. Use 3.14 for . What mistake might the student have made?

### Answers

Answer:

Step-by-step explanation:

Why might young adults,in particular,value credit in case of emergency

### Answers

Young adults might value **credit** in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, **insurance** policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more **favorable** credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and **empowerment**. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Which of the following vectors is equal to one half times vector v question mark

r

s

t

u

### Answers

The **vector** that is equal to one-half times vector v is **vector u**

What is a Vector?

A **vector** is a numerical entity that denotes a measure possessing both size and orientation. An organized sequence of numerical values or coordinates in a designated **coordinate system** can serve as its representation.

**Vectors **have multiple applications across diverse domains, including physics, engineering, and computer science.

In order to find which vector is** 3/4 **of the vector asked, look at the length of the horizontal and vertical that forms the vector.

then, **multiply** both lengths by 3/4

[tex]4.\frac{3}{4} =3\\8.\frac{3}{4} = 6[/tex]

find the **vector** formed by these lengths

The correct answer is u.

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A bicycle tire has a diameter of 20 in. How many feet does the bicycle travel when the wheel makes 22 revolutions?

### Answers

**Answer:**

**the bicycle travels approximately ****115.19 feet**** when the wheel makes 22 revolutions.**

**Step-by-step explanation:**

The circumference of the bicycle wheel can be found using the formula C = πd, where d is the diameter of the wheel.

C = πd = π(20 in) ≈ 62.83 in

To find the distance traveled in 22 revolutions, we need to multiply the circumference by the number of revolutions:

Distance = 22 × C ≈ 22 × 62.83 in ≈ 1382.26 in

To convert this to feet, we divide by 12 (since there are 12 inches in a foot):

Distance ≈ 1382.26 in ÷ 12 ≈ 115.19 ft

Therefore, the bicycle travels approximately 115.19 feet when the wheel makes 22 revolutions.

Two baseball teams have a push-up contest. There are 24 players on Team A and 23 players on Team B. The team captains display their results in the dot plots shown below. They realize that both teams completed a total of 778 push-ups.

### Answers

Let me put it to you this way, buttercup: Team A might have more players, but that doesn't mean they're better at push-ups. Clearly, Team B is the superior team here, and their dot plot proves it. They might not have as many players, but they're leaner, meaner, and more efficient at pumping out push-ups. And that's all that really matters, isn't it?

As for the total number of push-ups completed, who really cares? It's not like anyone's keeping score or anything. Oh, wait...they are? Well, then I guess it's good that they managed to hit their target of 778 push-ups. But I wouldn't get too excited about it if I were you. It's not like they just cured cancer or anything.

Does the parabola for the equation open UP or DOWN?

y = - 4x²- 7x + 3

O Up

O Down

### Answers

**Answer:**

Down

**Step-by-step explanation:**

A positive x² value means the parabola will open up. However, a negative value of x² results it to open down, such as -4x².

**Answer:**

b) Down

**Step-by-step explanation:**

The **graph **of a **quadratic equation **in the form y = ax² + bx + c is a **parabola**.

The **leading coefficient **of a quadratic equation is the **coefficient **of the **x² term**, and is called the leading coefficient because it has the **greatest power of x** in the equation.

If the leading coefficient of a quadratic equation is **positive**, the parabola opens **upwards**.

If the leading coefficient of a quadratic equation is **negative**, the parabola opens **downwards**.

Given equation:

y = - 4x²- 7x + 3

As the **leading coefficient** of the given quadratic equation is **negative**, the parabola opens **downwards**.

Bob buys eggs and potatoes at a store he pays $25.92 total he pays $2.57 for the eggs. He buys five bags of potatoes that each cost the same amount which equation can be used to determine the cost of X of each bag of potatoes.

### Answers

25.92= 2.57+5x

therefore the answer is $4.67 for each bag of potatoes

The photo is burry but help me answer this question I don’t get it

### Answers

The **perimeter** of **rectangle **M'N'O'P' is equal to 54 cm.

What is dilation?

In Geometry, a **dilation** is a type of transformation that typically changes the size (dimensions or side lengths) of a **geometric shape**, but not its shape.

This ultimately implies that, the size of the **geometric shape** would be increased (enlarged) or decreased (reduced) based on the scale factor applied.

Since the **rectangles** are similar, we have the following:

[tex]\frac{Area\;of\;preimage}{Area\;of\;image} =\frac{(Perimeter\;of\;preimage)^2}{(Perimeter\;of\;image)^2}[/tex]

14/126 = 18²/(Perimeter of rectangle M'N'O'P')²

14/126 = 324/(Perimeter of rectangle M'N'O'P')²

(Perimeter of rectangle M'N'O'P')² = (126 × 324)/14

Perimeter of rectangle M'N'O'P' = √2916

**Perimeter **of **rectangle** M'N'O'P' = 54 cm.

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What is a leader line?

A.

it is an arrow-tipped line used to highlight a specific part of a drawing

B.

it is a line helps to indicate the width or size of an object

C.

it is a line that shows the length of the dimension

D.

it is an arrow-tipped line used to connect a specific part of a drawing with its corresponding note

E.

it is the thickest line in the drawing showing the outline of the object

### Answers

The correct answer is D.

A leader line is an arrow-tipped line used to connect a specific part of a drawing with its corresponding note. It is typically used in technical drawings or engineering drawings to provide additional information or call attention to a specific feature of an object. The leader line is drawn from the feature being referenced to the note or label describing it, with an arrowhead pointing to the specific feature being identified.

In the graph above, which vertical line (V) and horizontal line (H) can be used to graph point C?

A) V: x = –3; H: y = 3

B) V: x = –3; H: y = –3

C) V: x = 3; H: y = 3

D) V: y = –3; H: x = –3

### Answers

The **vertical line **(V) and **horizontal line **(H) to graph point C are V = -3 and H = -3

How to determine the vertical line (V) and horizontal line (H) to graph point C?

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

The **graph**

On the **graph**, we have the **location** of **point C **to be

C = (-3, -3)

This can be expressed as

(x, y) = (-3, -3)

So, we have

x = -3 and y = -3

In terms of vertical and **horizontal lines**, we have

V = -3 and H = -3

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What is the slope of the line shown?

### Answers

The **slope** of the **line** shown is -2.

Option D is the correct answer.

We have,

Take two **coordinates** from the graph.

(0, 7) and (2, 3)

Now,

Slope.

= (3 - 7) / (2 - 0)

= -4/2

= -2

Thus,

The **slope** of the **line** shown is -4/2.

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Warm-Up

Use the distributive property to match equivalent expressions.

-7(-4+x)

7(-4-x)

-7(4-x)

Using the Distributive Property

7(4+x)

↑

-28-7x

28+7x

28-7x

-28 +7x

### Answers

**Answer:**

-7(-4+x) = 28-7x

7(-4-x) = -28-7x

-7(4-x) = -28+7x

7(4+x) = 28+4x

The length of a football pitch is 90 metres, correct to the nearest metre. Complete the error interval for the length of the football pitch.

### Answers

The length of a football pitch is 90 **metres**, correct to the nearest metre. Complete the error interval for the length of the football pitch is 0.5 meters.

There are different types of errors in mathematics. These include error intervals, **systematic errors**, rounding errors, and random errors. Error intervals are used to express the minimum and maximum possible values for a given measurement, or range of measurements.

According to the given question, the length of a football pitch is 90 metres, correct to the nearest metre. The nearest meter means that the **length **is within half a meter, both above and below the measurement, as 0.5m is half a meter. So, we can say that the error interval for the length of the football pitch is 0.5 meters.

Note that this means that the actual length of the football pitch could be anywhere from 89.5 meters to 90.5 meters, inclusive.

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In the figure below, two secants are drawn to a circle from exterior point V.

Suppose that VZ=30, VW=45, and VX=22.5. Find XY.

### Answers

The **value** of **secant** XY is 37.5 units.

How to find the value of secant XY?

The **Secant-Secant Theorem** states that "if two secant segments which share an endpoint outside of the circle, the product of one secant **segment** and its external segment is equal to the product of the other **secant **segment and its external segment".

Using the theorem above, we can say:

VZ * VW = VX * VY

30 * 45 = 22.5 * VY

22.5VY = 1350

VY = 1350/22.5

VY = 60 units

Since VY = VX + XY. We have:

60 = 22.5 + XY

XY = 60 - 22.5

XY = 37.5 units

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Write the equation of the line passes through the points (5,3) and (7,7)

### Answers

**Answer:**

**y=2x-7**

**Step-by-step explanation:**

here's how to find it:

**Step 1: label the number x1, y1, x2, y2**

5=x1

3=y1

7=x2

7=x2

**Step 2: Put the numbers into y2-y1/x2-x1**

7-3/7-5=4/2=2

**Step 3: Plug it in!!!!**

Plug in a value for y (which can be 3 or 7. i picked 3), put in 2 for the slope, a value for x, and b is unknown. we have to do this because we have to put it into slope -intercept form, which is** y=mx+b**

**Step 4: Solve for b **

-7=b

**Step 5: Put it all together again**

**y=2x-7**

hope you learned something today. have a great day and thx for your inquiry :)

(for more practice, check out Khan Academy: Write slope using two points)

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

### Answers

**Answer:**

see attached

**Step-by-step explanation:**

You want the **sequence** of **steps** to **solve** the **system of equations** by **substitution**.

**-7x -2y = -13****x -2y = 11**

Substitution

To solve the system by substitution, the first step is writing an expression for one of the variables. Here, the x-variable has a coefficient of 1 in the second equation, so that is a good place to start for getting an expression for x.

The remaining steps are shown in the attachment.

__

*Additional comment*

It is also convenient to subtract the first equation from the second to solve this system by "elimination".

(x -2y) -(-7x -2y) = (11) -(-13) ⇒ 8x = 24 ⇒ x = 3

Then the second equation can be used to find y:

3 -2y = 11 ⇒ -2y = 8 ⇒ y = -4

You deposit $150 in an investment account that earns 6.1% annual interest compounded annually.

Write a function that represents the balancey(in dollars) of the investment account aftertyears.

Question 2

What is the balance of the account after 8 years?

### Answers

Based on the above, the **balance **of the account after 8 **years **is about $240.88..

What is the investment?

The **function **that stand for the balance y (in dollars) of the investment account after t years with an initial deposit of $150 and an annual interest rate of 6.1% compounded annually is one that is written as:

A = P(1 + r/n)^(nt)

where:

A = the balance after t years

P = the initial principal (deposit)

r = the annual interest rate (as a decimal)

n = the **number **of times the interest is compounded per year

t = the number of years

So have:

P = $150

r = 0.061 (6.1% as a decimal)

n = 1 (compounded annually)

t = 8

So one can **substitute **these values into the equation:

A = $150(1 + 0.061/1)^(1*8)

= $150(1.061)⁸

= $240.88 (rounded to the nearest cent)

Therefore, the balance of the account after 8 years is $240.88.

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The volume of this cube is 8 cubic centimeters. What is the vaule of u?

### Answers

The calculated **value **of u in the **cube** is 2 cm

Calculating the value of u in the cube

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

**Volume **= 8 cubic cm

The **volume **of a cube is calculated as

Volume = The cube of the **side length**

In this case,

the side length = u

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

The cube of u = 8

Take the cube root of both sides

u = 2

Hence, the **value **of u in the **cube** is 2 cm

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use the graph to find the local mininimum and the local maximum for the given function.

### Answers

can u give me a picture maby i can help if thats okay with you