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we get that if choices matter then there is only 1 way and if the choices do not matter, then there are 24 ways to choose from the given 4 letters by using permutation.

We are given four letters:

A, B, C and D

We need to choose 3 letters from it without replacement.

(a) If the order of choices matter, then there would only be 1 way to choose the letters.

(b) If the order of choices do not matter , then by permutation, we get that:

The number of ways of choosing = 4 × 3 × 2

Ways = 24 ways.

Therefore, we get that if choices matter then there is only 1 way and if the choices do not matter, then there are 24 ways to choose from the given 4 letters by using permutation.

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Based on the start-up expenses to the sole proprietorship, the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business will be $111.

Before the amortization amount can be calculated, a deduction of $5,000 should be made because the start-up costs were less than $50,000.

The amount to be amortized is therefore:

= 7,500 - 5,000

= $2,500

The amount to be amortized will be amortized over 15 years. As the business started on May 1, 2021, there are only 8 months left in the year.

The amortization amount is:

= (2,500 x 8 months) / ( 15 x 12 months a year)

= $111

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It's not possible to build a triangle with side lengths of 3,3,and 9.

It should be noted that to compute a triangle, the addition of the shortest sides must be longer than the longest side.

In this case, 3 + 3 = 6

But the longest side is 9 and it's longer than 6.

Therefore, it's not possible to build a triangle with side lengths of 3,3,and 9.

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It's possible to build a triangle with side lengths of 3,3,and 9

Answer:

Step-by-step explanation:

$20-$2.21=0.21

A possible figure that has the same perimeter as the given triangle is a rectangle with side lengths, x + 1, x + 1, 2•x + 1, 2•x + 1

The perimeter of a two dimensional geometric figure is its total boundary length.

The perimeter is given by the addition of the lengths of all the sides of the figure.

The perimeter, P, of the given triangle is therefore;

P = x + 3 + 2•x + 1 + 3•x = 6•x + 3

The perimeter, P = 6•x + 3

A different figure, drawn, that has the same perimeter as the given triangle (6•x + 3) is a rectangle that has side lengths of x + 1, 2•x + 1, x + 1, and 2•x + 1.

Please find attached the drawing of a rectangle that has a perimeter of 6•x + 3, which is the same as the perimeter of the triangle.

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The volumes of the cylinder and cone are calculated using a radius r to give;

The radius of cylinder = r

Height of the cylinder = 2•r

Radius of cone = r

Height of the cone = 2•r

Volume of the cylinder, Vc = π•r²•(2•r) = 2•π•r³

Volume of the cone, Vco == (1/3)•π•r²•(2•r)

Which gives; Vco == (2/3)•π•r³

The combined volume is therefore;

V = Vc + Vco = 2•π•r³ + (2/3)•π•r³ = (8/3)•π•r³

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Answer:-9 to the fourth power is -6561

Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.

Please give brainliest if right.

Answer:

-6561

Step-by-step explanation:

[tex]-9^4 = -9 \times -9 \times -9 \times -9 = -6561[/tex]

Answer:

12

Step-by-step explanation:

Step1:- substitute the values of a and b in the equation

6(4)-4(3)

Step2:- solve the expression

6(4)=6×4=24

4(3)=4×3=12

so 6(4)-4(3)=24-12= 12

The 61% of 407 estimates 248. 27

Percentage can be defined as the ratio of a number to 100

Example;

The percentage of 55 is expressed as;

= 55/ 100

From the information given, we have to determine 61% of 407

This is expressed as;

= 61/ 100 × 407

= 0. 61 × 407

= 248. 27

Thus, the 61% of 407 estimates 248. 27

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Answer:

B

Step-by-step explanation:

h(x) is a discrete function, so its domain and range only contain individual points.

h(x) contains the points (-5, -2), (-4, 2), (0, 6), (2, -4), and (4, 4)

Look at the y-coordinates: -2, 2, 6, -4, 4

Arrange them in order: -4, -2, 2, 4, 6 ==> B

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Points are (-3,0) , (-2,2), (0,1) and (1,2)

f(0)=1

Answer:

PA The biologist swims to depths of 3 1/4 meters. 2 5/8 meters, and 4 1/2 meters below sea level.

Order the well depths from deepest to shallowest. Strategy. Write the depths as negative numbers . Compare the negative numbers .

Step-by-step explanation:

Answer:

The number would be 0.28.

here, in tenths position is 2 and in hundredths position is 8.

so, 8 = 4 x 2

and 8 + 2 = 10.

Answer:

44

Step-by-step explanation:

vertical angles

Answer: 54

Step-by-step explanation:

52 + 2 = 54

The graph of f(x) = 2x^2 - 4x + 5 is a minimum

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation of the function is given as

f(x) = 2x^2 - 4x + 5

The above equation is a quadratic equation.

A quadratic equation is represented as:

f(x) = ax^2 + bx + c

By comparison, we have

a = 2

b =-4

c = 5

If the value of a is positive, the graph is a maximum.

Since the value of a is 2, then it means that the graph is a minimum

Hence, the graph of f(x) = 2x^2 - 4x + 5 is a minimum

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Answer:

Solving Math equations helps work on the left side of your brain which is in charge of receiving information. Whether you’re performing a logical or creative function, you’re receiving input from both sides of your brain. For example, the left brain is credited with language, but the right brain helps you understand context and tone. The left brain handles mathematical equations, but the right side of the brain helps out with comparisons and rough estimates.

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Answer:

Step-by-step explanation:

Expression number #1, #2 and #5 are equal to 16.02 in the given question.

As per the question statement, we have to choose all expressions that are equal to 16.02

The options are

Lets verify #1

[tex]16+0.02 = 16.02[/tex]

Hence verified.

Lets verify #2

[tex]3.42+8+4.6=16.02[/tex]

Hence verified

#3

[tex]16.01+1=17.01\neq 16.02[/tex]

#4

[tex]12.06+3.14=15.2\neq 16.02[/tex]

#5

[tex]7.36 +8.66=16.02[/tex]

Hence verified

Therefore from the above, conclusion can be made that Expression number #1, #2 and #5 are equal to 16.02 in the given question.

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Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

Answer:

0.00783

Step-by-step explanation:

7.83 × 10^-3

Move the decimal point 3 places to the left.

7.83 × 10^-3 = 0.00783

Answer:

24

Step-by-step explanation:

Each no. of toffee is multiplied by 6 to get the no. of children to have a toffee.

1. 120,000 lbs

2. 59,000 lbs

3. 122,000 lbs

4. 120,000 lbs

Answer: 1.156 × 10^5

Step-by-step explanation:

5.36 x 10^4

6.2 x 10^4

5.36+6.2=11.56

11.56 x 10^4  = 1.156 × 10^5  (scientific notation)

Answer:4

Step-by-step explanation:

7+4=11

15-4=11

A.-12

-16 * 3/4

-48/4

-12

There are 12 groups with 4 students and 3 groups with 5 students

Represent the students as follows:

Group with 4 students = x

Group with 5 students = y

So, we have the following system of equations

4x + 5y = 63

x + y = 15

Make x the subject in x + y = 15

x = 15 - y

Substitute x = 15 - y in 4x + 5y = 63

4(15 - y) + 5y = 63

Expand

60 - 4y + 5y = 63

Evaluate

y = 3

Substitute y = 3 in x = 15 - y

x = 15 - 3

This gives

x = 12

Hence, there are 12 groups with 4 students and 3 groups with 5 students

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Answer: I think it's 6 hours. If you do 294 divided by 49 which will give you 6 which means you traveled 294 miles in 6 hours.

Answer:

8.6

Step-by-step explanation:

Distance between two points

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points}.[/tex]

Define the points:

Substitute the defined points into the formula:

[tex]\implies d=\sqrt{(7-0)^2+(5-0)^2}[/tex]

[tex]\implies d=\sqrt{7^2+5^2}[/tex]

[tex]\implies d=\sqrt{49+25}[/tex]

[tex]\implies d=\sqrt{74}[/tex]

[tex]\implies d=8.6\;\;\sf (nearest\: tenth)[/tex]

Therefore, the length of one of the diagonals of the rectangle is 8.6.