WRITING BOOK
Personal Writing
AD 1
NUMBERS
Which of the following cannot be an integer?
A. 0.8
B. -3
C. 4
D. 25​

The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

Answer:

circumference=28 in. after doing rounf off to the nearest hundredth

Step-by-step explanation:

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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The correct answer is 2.8 liters

Explanation:

The volume of the water in the bottle can be calculated by subtracting 3.5 liters from the volume of water the pail can hold (6.3 liters) because the volume in the bottle is 3.5 liters less than the one in the pail. Below, you can find the process.

volume in the pail - 3.5 liters = volume in the bottle

6.3 liters - 3.5 liters = 2.8 liters

This means the volume of water in the bottle is 2.8 liters. Also, you can double-check this answer by adding the volume in the bottle and the 3.5 liters (2.8 + 3.5 = 6.3).

Answer:

Should be the first answer, x=5

Step-by-step explanation:

This would flip the graph and the square would land on top of where it currently is.

Answer:

option 3

hope youre online exam will be easy

Step-by-step explanation:

Answer:

6.  ∠PVU = 58°

7.  y = 74°

Step-by-step explanation:

Angles on a straight line sum to 180°.

⇒ ∠USP + ∠PSV = 180°

⇒ 148° + ∠PSV = 180°

⇒ 148° + ∠PSV - 148° = 180° - 148°

⇒ ∠PSV = 32°

The interior angle of a rectangle at each vertex is 90°.

⇒ ∠VPS = 90°

Interior angles of a triangle sum to 180°.

⇒ ∠PVS + ∠PSV+ ∠VPS = 180°

⇒ ∠PVS + 32° + 90° = 180°

⇒ ∠PVS + 122° = 180°

⇒ ∠PVS + 122° - 122° = 180° - 122°

⇒ ∠PVS = 58°

From inspection of the given diagram:

⇒ ∠PVU = ∠PVS

⇒ ∠PVU = 58°

Opposites sides of a rectangle are parallel.

Therefore, GF is parallel to AB:

⇒ ∠CFG = ∠CBA = 32°

Interior angles of a triangle sum to 180°.

⇒ ∠FGC + ∠GCF + ∠CFG = 180°

⇒ y + 74° + 32° = 180°

⇒ y + 106° = 180°

⇒ y + 106° - 106° = 180° - 106°

⇒ y = 74°

Answer:

Step-by-step explanation:

\( \sf{x + 3x - 36}\)

Here, we have to collect like terms.

_________________________________

▪️What do you mean by like terms ?

⇒Like terms are those which have the same base. While adding or subtracting like terms, we should add or subtract the coefficients of like terms.

_________________________________

Let's add the like terms :

Answer : 4x - 36

Hope I helped!

Best regards!

Answer:

-19 1/9

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

Answer:

OptionB) \(5940\)

Step-by-step explanation:

Formula to Find the Interior Angles of Any Polygon

\((n-2)\)x\(180\)

\((35-2)X180\\5940\)

Answer:

The formula that calculates the sum of the interior angles of a regular polygon is equal to : (n-2)180° ; n represents the number of sides of the polygon.

So now, we've to replace n by 35 in the formula :

(35-2)180°

And by carrying out the calculation, we obtain: 5940°.

Therefore, the sum of all the interior angles of a regular 35-sided polygon is 5940°.

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

1. T

2. line VW

3. W

Answer:

Use Mathpapa to find your answer.

Step-by-step explanation:

It's a good, and powerful program.

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

To find the margin of error, we can use the formula: E = z√((p(1-p))/n)

where z is the z-score for a 99% confidence level, p is the sample proportion, and n is the sample size.

From the table of standard normal distribution, the z-score for a 99% confidence level is 2.576.

Plugging in the values, we get:

E = 2.576√((0.696(1-0.696))/664) ≈ 0.0385

So the margin of error is 0.0385.

To find the confidence interval, we can use the formula:

p ± E

where p is the sample proportion and E is the margin of error.

Plugging in the values, we get:

0.696 ± 0.0385

So the 99% confidence interval for the true proportion of all Americans that say "the future of the nation is a significant source of stress for me" is (0.6575, 0.7345). In interval notation, this can be written as [0.6575, 0.7345].

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Answer:

D

Step-by-step explanation: A filled bubble means that it is equal to and whichever way the arrow is point represents whether the answer is greater than or less than.

The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

A number line can be used to represent numbers placed on regular intervals. A number line can be used to represent an inequality.

The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.

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The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.

Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

Answer:

Answer is true.

Hope this helps.

Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.

The equation for an increasing exponential function is given by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem:

The doubling time is t for which \(A(t) = 2A(0)\), then:

\(A(t) = A(0)(1.1)^t\)

\(2A(0) = A(0)(1.1)^t\)

\((1.1)^t = 2\)

\(\log{(1.1)^t} = \log{2}\)

\(t\log{1.1} = \log{2}\)

\(t = \frac{\log{2}}{\log{1.1}}\)

\(t = 7.3\)

It will be 7.3 years before the value is doubled.

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The person that was closest to the state record after the jump is; Alex

We are told that Alex jumped 38 feet 11²/₃ inches or 38.9725 ft and that the eighth-grade record is 40.17 feet.

Let see how closer Alex jumped was;

40.17 feet - 38.9725 ft = 1.2425 ft

We are told that Eric jumped 36.89 feet and the state record of the eighthgrade record is 40.17 feet. Thus;

Let see how closer Eric jumped was;

40.17 feet - 36.89 ft = 3.28 ft

We conclude that 1.2425 ft is less than 3.28 ft and as such Alex was closer.

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On solving the provided question, we can say that his net worth = mean = 4582+13654+19760+1503+2531+8486 = 84952546/6 = $14158757.6666667

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate: Divide by how many digits there are after adding up all the digits. the total divided by the count.

here,

Tim's assets and liabilities

his net worth = mean = 4582+13654+19760+1503+2531+8486 = 84952546/6 = $14158757.6666667

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Answer:

12 1/4

Step-by-step explanation:

I took the quiz and that was the correct answer!!

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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