Which statements apply to the expression (three-fifths) cubed? Check all that apply.
The base is Three-fifths.
The base is 3.
The exponent is 3.
The expanded form is Three-fifths times three-fifths times three-fifths.
The expanded form is StartFraction 3 times 3 times 3 Over 5 EndFraction.
(Three-fifths) cubed = StartFraction 9 Over 15 EndFraction

Answers

Answer 1

The true statements are:

below in bold

Work/explanation:

The statements which apply to the given scenario are the following:

The base is Three-fifths.

The expanded form is three-fifths times three-fifths times three-fifths.

The exponent is 3.

Let's take a closer look at the expression [tex]\sf{\bigg(\dfrac{3}{5}\bigg)^3}[/tex].

What is the base and what is the exponent?

Think of the expression [tex]\sf{x^n}[/tex]. Here, x is the base, and n is the exponent.

Similarly, with our exercise here, 3/5 is the base and 3 is the exponent.

[tex]\rule{350}{4}[/tex]

Now, what is the expanded form of the expression? If we have something cubed, what does it mean?

It means that this something is multiplied by itself 3 times.

So the expanded form is three-fifths times three-fifths times three-fifths.

Finally, when we raise a fraction to a power, we raise both the numerator and the denominator to that power.


Related Questions

What is the length of EF in the right triangle below?
D
26
10
E
F

Answers

The measure of side length EF in the right triangle is 24.

What is the measure of side length EF?

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

Learn more about Pythagorean theorem here: brainly.com/question/343682

#SPJ1

ABCD is a kite, if RA=20yds and BD=44yds find AB

Answers

Answer:

Step-by-step explanation:

In a kite, the diagonals intersect at right angles, and the longer diagonal is the perpendicular bisector of the shorter diagonal. In this case, we have BD as the longer diagonal and RA as the shorter diagonal.

Given that BD is 44 yards and RA is 20 yards, we can determine the length of AB by using the properties of a kite.

The length of AB can be found by applying the Pythagorean theorem to the right triangle formed by AB, BD, and the segment of the longer diagonal perpendicular to the shorter diagonal.

Using the Pythagorean theorem, we have:

AB^2 = BD^2 - RA^2

AB^2 = 44^2 - 20^2

AB^2 = 1936 - 400

AB^2 = 1536

Taking the square root of both sides:

AB = √1536

Simplifying the square root:

AB ≈ 39.19

Therefore, AB is approximately 39.19 yards.

Select the correct answer.

Answers

Answer:

B. 0

Step-by-step explanation:

The answer would be y=0, and it is not undefined. Undefined lines go up and down.

Question 1 of 10
What is a name for the angle below? Do not include the angle symbol in your answer

Answers

Answer:

XYZThe name of angle below is XYZ

A Food Marketing Institute found that 28% of households spend more than $125 a week on groceries. Assume
the population proportion is 0.28 and a simple random sample of 273 households is selected from the
population. What is the probability that the sample proportion of households spending more than $125 a week
is less than 0.27?
There is a
probability that the sample proportion of households spending more than $125 a week is
less than 0.27. Round the answer to 4 decimal places.

Answers

The probability that the sample proportion of households spending more than $125 a week is less than 0.27 is approximately 0.35.

To find the probability that the sample proportion of households spending more than $125 a week is less than 0.27, we can use the sampling distribution of sample proportions and the Central Limit Theorem.

Given:

Population proportion (p) = 0.28

Sample size (n) = 273

First, we need to calculate the standard deviation of the sampling distribution, which is known as the standard error. The formula for the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

Substituting the given values:

Standard Error = sqrt((0.28 * (1 - 0.28)) / 273)

Standard Error ≈ 0.0258

Next, we can standardize the sample proportion using the formula:

Z = (sample proportion - population proportion) / standard error

Z = (0.27 - 0.28) / 0.0258

Z ≈ -0.3886

Now, we need to find the probability that the sample proportion is less than 0.27. This is equivalent to finding the area under the standard normal distribution curve to the left of Z = -0.3886. We can use a standard normal distribution table or a statistical software to find this probability.

The probability can be rounded to 4 decimal places:

Probability = 0.35 (approximately)

Therefore, the probability that the sample proportion of households spending more than $125 a week is less than 0.27 is approximately 0.35.

for more such question on probability visit

https://brainly.com/question/251701

#SPJ8

CAN A GIRL ANSWER THIS? I WILL GIVE BRAINLIEST

In class, I silently passed gas and a girl on the other side of the classroom named Nyla eventually smelled it. She complained to the teacher that someone passed gas, but didn't know who. Another girl, named Lia, accused me of doing it cause i was laughing and she had a mean smirk on her face.

4 questions:



1. Why did she have a mean smirk when accusing me?


2. Why did she accuse me?


3. Why did Nyla look at me after being accused but didn't laugh


4. Why did Ms. Nee (the teacher) tell me to move after I was accused

Answers

1) It's possible that Lia had a mean smirk because she found the situation amusing or thought it was funny to accuse someone.

2) Lia might have accused you based on the assumption that you were laughing

3) Nyla might have looked at you out of curiosity or suspicion, wanting to see your reaction to the accusation.

4) Ms. Nee might have asked you to move in an attempt to diffuse the situation or prevent any further disruptions.

How do we analyze the situation?

Lia could have been amused by the event or thought it was hilarious to blame someone, hence her cruel smirk. Another possibility is that she made the charge because she was upset with you personally and wanted to humiliate or degrade you.

Lia could have charged you if she thought you were laughing, which she took to be an admission of guilt. Additionally, she might have been looking for someone to point the finger at and chose you as the victim of choice without any solid proof.

Nyla may have glanced your way to see how you would respond to the charge out of curiosity or suspicion. Her lack of laughter could indicate that she wasn't sure about your involvement or that she simply didn't find the situation amusing.

Everyone present may find it distracting and uncomfortable when jokes and accusations are made in the classroom. Ms. Nee might have asked you to relocate in an effort to bring back some sense of calm and concentration in the classroom.

Learn more about situational analysis:https://brainly.com/question/5493365

#SPJ1

please help stuck on this for 30 minutes

Answers

Answer:

look at attachment

Step-by-step explanation:

Which of the following expressions is equivalent to 2ˣ⁺³

Answers

Answer:

Expert-Verified Answer​​ the equivalent expression to 3^(x + 2) is 9*3^x, which is the last option.

Missing: 2ˣ ‎⁺

Step-by-step explanation:

hope it helps

Read the passage.
Before heading to the concert in the city, Parvati and I
ducked into a nearby bodega. It was empty, except for
one or two customers. We walked around for a bit
before deciding on granola bars and bottled water. After
we paid for our items, we took the subway downtown.
Mark this and return
Which clues from the text are most helpful for
determining the meaning of bodega? Select three
options.
"heading to the concert"
O"one or two customers"
Ogranola bars and bottled water"
O'paid for our items"
"took the subway downtown"

Answers

These three clues together provide a clear indication that a bodega refers to a small retail store.

The clues from the text that are most helpful for determining the meaning of "bodega" are:

1. "It was empty, except for one or two customers."

The presence of customers in the bodega indicates that it is a place where people can go to purchase items. The fact that there are only one or two customers suggests that it is a small establishment.

2. "We walked around for a bit before deciding on granola bars and bottled water."

This clue indicates that the bodega sells food items like granola bars and bottled water. This suggests that it is a convenience store or a small grocery store where one can find basic food and drink items.

3. "After we paid for our items..."

The mention of paying for items further reinforces the idea that the bodega is a retail establishment where goods are sold.

These three clues together provide a clear indication that a bodega refers to a small retail store, often found in urban areas, that sells a variety of items, including food and drinks. It is typically smaller in size compared to larger grocery stores and may offer convenience items for customers who are on the go, like Parvati and the narrator who were preparing for their trip to the concert.

for more such question on retail visit

https://brainly.com/question/30667739

#SPJ8

3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara​

Answers

The time Jack left Santa Clara is 1 : 55 pm

What is word problem?

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Please Solve, Thank you!

Answers

Answer:

1

Step-by-step explanation:

Determine the average rate of change over [0,3]:

[tex]\frac{f(b)-f(a)}{b-a}=\frac{f(3)-f(0)}{3-0}=\frac{13-16}{3}=\frac{-3}{3}=-1[/tex]


Therefore, 1 gallon per day is being consumed (this is explained by the -1 from earlier).

A parent function and transformed function are shown: y = RootIndex 3 StartRoot x EndRoot. y = negative (0.4) RootIndex 3 StartRoot x minus 2 EndRoot Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply. reflected over the x-axis translated 2 units left translated 2 units right compressed by a factor of 0.4 stretched by a factor of 0.4 translated 2 units up translated 2 units down

Answers

Answer: The transformed function is y = -0.4√(x - 2).

Step-by-step explanation:

From the given equation, we can identify the following transformations:

Reflected over the x-axis: The negative sign in front of the function (-0.4) indicates a reflection over the x-axis.

Translated 2 units left: The "-2" inside the square root indicates a translation of 2 units to the right.

Compressed by a factor of 0.4: The coefficient "0.4" in front of the square root indicates a vertical compression by a factor of 0.4.

Translated 2 units down: There is no direct indication of a vertical translation in the equation, so this transformation is not applicable.

Therefore, the correct descriptions of the graph of the transformed function compared with the parent function are:

Reflected over the x-axis

Translated 2 units right

Compressed by a factor of 0.4

tan(x-1) ( sin2x-2cos2x) = 2(1-2sinxcosx)

Answers

The equation is proved.

G[tex]`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`[/tex]

We need to prove the given equation. Solution: Using the identity [tex]`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`[/tex]

in the given equation, we get

[tex]`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-[/tex]

[tex]2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)[/tex]

[tex](2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹[/tex]

[tex]`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-[/tex]

[tex]sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹[/tex]

`[tex]2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`[/tex]

For `LHS`, using identity

[tex]`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹[/tex]

[tex]`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-[/tex]

[tex]1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.[/tex]

For more question equation

https://brainly.com/question/17145398

#SPJ8

IMPORTANT! HELP!

Find the angles of intersection between the curves f(x)=x^2 and g(x)=[tex]\sqrt{x}[/tex]

Answers

Answer:

To find the angles of intersection between the curves f(x) = x^2 and g(x) = |x|, we need to find the points where the two curves intersect.

Substituting g(x) into f(x), we get:

x^2 = |x|

To solve this equation, we need to consider two cases:

Case 1: x ≥ 0

In this case, the equation simplifies to:

x^2 = x

Solving for x, we get:

x(x - 1) = 0

So x = 0 or x = 1.

Case 2: x < 0

In this case, the equation simplifies to:

x^2 = -x

Solving for x, we get:

x(x + 1) = 0

So x = 0 or x = -1.

Therefore, the points of intersection between the two curves are (-1, 1), (0, 0), and (1, 1).

To find the angles of intersection, we need to find the slopes of the two curves at each point of intersection.

At (0, 0), the slopes of both curves are 0.

At (-1, 1) and (1, 1), the slope of f(x) = x^2 is 2x, and the slope of g(x) = |x| changes direction at x = 0, so we need to consider the left and right limits separately:

At x = -1, the slope of g(x) = -1, and at x = 1, the slope of g(x) = 1.

Therefore, the angles of intersection between the two curves are:

- At (0, 0), the two curves are tangent and intersect at a right angle.

- At (-1, 1) and (1, 1), the two curves intersect at acute angles.

What is the product?
2y 4y-12
y-3 2y+6
O
2
3
10
9
4y
y-3
4y
Oy+3

Answers

The first answer of the sequence is 8y^2-12. The second is 2y^2-18 with it’s alternate form being 2(y-3)x(y+3).

Help me please will mark brainliest

Answers

Answer:

b c and d

Step-by-step explanation:

if not let me know

Question 5 of 10
What is the location of the point on the number line that is of the way from
A = 31 to B=6?
OA. 21
B. 16
OC. 11
OD. 19
4

Answers

Answer:

Step-by-step explanation:

To find the location of the point that is of the way from A=31 to B=6, we need to find the midpoint of the segment AB.

The formula for finding the midpoint of a segment with endpoints (x₁, y₁) and (x₂, y₂) is:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

In this case, we have A = 31 and B = 6, so x₁ = 31 and x₂ = 6. Plugging these values into the formula, we get:

Midpoint = ((31 + 6) / 2, (y₁ + y₂) / 2)

Midpoint = (37/2, (y₁ + y₂) / 2)

We still need to find y₁ and y₂, which are the positions of A and B on the number line. Since the number line is one-dimensional, we can simply use their values:

y₁ = 31

y₂ = 6

Plugging these values into the formula, we get:

Midpoint = (37/2, (31 + 6) / 2)

Midpoint = (37/2, 37/2)

Therefore, the location of the point on the number line that is of the way from A=31 to B=6 is at a distance of 37/2 units from point A and also at a distance of 37/2 units from point B. So, the midpoint of AB is located at the point (37/2, 0).

However, since the question only asks for the location of the point on the number line, we only need to consider the x-coordinate of the midpoint, which is 37/2. This point is on the number line, which means that it is a real number. Therefore, the answer is option (A) 21.

The counting number just before C5F sixteen is

Answers

the counting number just before C5F16 is 3,072.

if the word AFGANISTAN represented 02034560 by code
1. what code is represented by the word AFGAN?​

Answers

The code represented by the word "AFGAN" would be "02034."

How to determine the code represented by the word "AFGAN"

To find the code represented by the word "AFGAN," we need to refer to the given code representation of the word "AFGANISTAN," which is "02034560."

From the given code, we can determine that the letters "AFGAN" correspond to the first five digits of the code.

Therefore, the code represented by the word "AFGAN" would be "02034."

Learn more about code at https://brainly.com/question/25781514

#SPJ1

how do I solve 16° 25'?

Answers

Answer:

Step-by-step explanation:

easily find on chrome

8 Solve for C. 16 17 C= [?]° Measure of Angle C Round your final answer to the nearest tenth. Law of Cosines: c²= a'+ b² - 2ab•cosC Enter​

Answers

Answer:

To solve for C, we would need to know the length of side c. Without that information, we cannot determine the value of angle C.

Step-by-step explanation:

Using this assumption, we can rewrite the equation as:

c² = 16² + 17² - 2(16)(17)·cos(C)

c² = 256 + 289 - 544·cos(C)

c² = 545 - 544·cos(C)

Answer:

C = 83.0°

Step-by-step explanation:

This triangle has three sides, with lengths of 8 units, 16 units, and 17 units. The angle formed between the sides measuring 8 units and 16 units is angle C. Angle C is opposite the side measuring 17 units.

To find the measure of angle C, we can use the Law of Cosines.

[tex]\boxed{\begin{array}{l}\underline{\textsf{Law of Cosines}}\\\\c^2=a^2+b^2-2ab \cos C\\\\\textsf{where $a, b$ and $c$ are the sides,}\\\textsf{and $C$ is the angle opposite side $c$.}\\\end{array}}[/tex]

In this case:

a = 8b = 16c = 17C = C

Substitute the values of a, b, and c into the formula, and solve for C:

[tex]\begin{aligned}c^2&=a^2+b^2-2ab\cos C\\\\17^2&=8^2+16^2-2(8)(16)\cos C\\\\289&=64+256-256\cos C\\\\289&=320-256\cos C\\\\289-320&=320-256\cos C-320\\\\-31&=-256\cos C\\\\\dfrac{-31}{-256}&=\dfrac{-256\cos C}{-256}\\\\\dfrac{31}{256}&=\cos C\\\\\cos C&=\dfrac{31}{256}\\\\C&=\cos^{-1}\left(\dfrac{31}{256}\right)\\\\C&=83.04476981...^{\circ}\\\\C&=83.0^{\circ}\; \sf (nearest\;tenth)\end{aligned}[/tex]

Therefore, the measure of angle C, rounded to the nearest tenth, is:

[tex]\Large\boxed{\boxed{C=83.0^{\circ}}}[/tex]

Right triangle LMN has vertices L(7, –3), M(7, –8), and
N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

Answers

In this case we have a translation of 8 units to the left and 11 units upwards.

How to find the translation?

To find the translation, we just need to compare the two known vertices before and after the translation.

If we have a translation of a units in the x-axis and b units in the y-axis, we will get:

T(a, b)L ---> L'

We know that L = (7, -3) and L' = (-1, 8)

Then we can write:

(7 + a, -3 + b) = (-1, 8)

Then we have two equations:

7 + a = -1 ---> a = -1 - 7 = -8

-3 + b = 8 ---> b = 8 + 3 = 11

Then we have a translation of 8 units to the left and 11 units up-.

Learn more about translations at:

https://brainly.com/question/1046778

#SPJ1

Complete question:

"Right triangle LMN has vertices L(7, –3), M(7, –8), and

N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

Find the translation done"

There are 40 boys and 30 girls in a class. Find the percentage of girls in the class.

42.86%
41.37%
43.15%
75%

Answers

42.86% ✓ No. of boys : 40No . of girls : 30Total strength : 40+30 = 70%age of girls in the class = No. of girls/ Total strength x 100%age of girls in the class = 30/70 x 100%age of girls in the class = 42.86%

41.37%

43.15%

75%

How does the multiplicity of a zero affect the graph of the polynomial function? Select answers from the drop-down menus to correctly complete the statements. The zeros of a seventh degree polynomial function are 1, 2 (multiplicity of 3), 4, and 6 (multiplicity of 2). The graph of the function will cross through the x-axis at 1 only . The graph will only touch (be tangent to) the x-axis at Choose... . At the zero of 2, the graph of the function will Choose... the x-axis.

Answers

Answer:

Step-by-step ex-plane

The zeros of a polynomial function can be used to determine how the graph behaves at those points. The multiplicity of a zero also plays an important role in shaping the graph of a polynomial function.

The graph of the seventh degree polynomial function with zeros 1, 2 (multiplicity of 3), 4, and 6 (multiplicity of 2) will cross the x-axis at 1 only. This is because the zero at 1 has a multiplicity of 1.

The graph will only touch (be tangent to) the x-axis at 2. This is because the zero at 2 has a multiplicity of 3.

At the zero of 2, the graph of the function will flatten out against the x-axis.

Therefore, the correct answers are:

- The graph of the function will cross through the x-axis at 1 only.

- The graph will only touch (be tangent to) the x-axis at 2.

- At the zero of 2, the graph of the function will flatten out against the x-axis.

True or false.

_____1. A solid figure is a 3- dimensional figure.It has Length,Width, and height.

Answers

Answer:

1. True

Explanation:

In geometry, a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions— length, width, and height. 

PLEASE HELP, WILL GIVE BRAINLIEST

Which is the best definition of phi?

Phi is the value of the golden spiral.
Phi is a single value in the Fibonacci sequence.
Phi is the length of the golden rectangle.
Phi is the value of the golden ratio.

Answers

The best definition of phi is:

Phi is the value of the golden ratio.

What is The Golden Ratio?

golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or, which is approximately equal to 1.618.

Phi = 1/phi Phi = 1 + phi The latter facts together give the definition of the golden ratio: x = 1/x + 1 This equation (equivalent to x^2 - x - 1 = 0) is satisfied by both Phi and -phi, which therefore can be called the _golden ratios_.

Hence, Phi is the value of the golden ratio which is the best definition of phi.

Learn more about the Golden Ratio at:

https://brainly.com/question/30746225

Explain the steps involved in adding two rational expressions.

Answers

When adding two rational expressions, follow these steps.

The steps to be followed

1. Determine the least common denominator (LCD) of the two expressions. This is the smallest expression that both denominators can divide into evenly.

2. Multiply each term in both expressions by the necessary factors to make the denominators equal to the LCD.

3. Simplify each numerator if possible by combining like terms.

4. Add or subtract the numerators together. The denominators remain the same.

5. Simplify the resulting expression, if necessary, by factoring and canceling common factors in the numerator and denominator.

6. If required, express the final result in its simplest form by dividing out any common factors between the numerator and denominator.

Learn more about rational expressions at:

https://brainly.com/question/25292194

#SPJ1

Joseph finished 2/5th of his work. What percentage of work did he complete?
40%
50%
60%
20%

Answers

Joseph finished 2/5th of his work. What percentage of work did he complete?

40% ✓ 2/5 x 100 = 40%

50%

60%

20%

solve this equation and find the table values

Answers

The completed table is as follows:

x | y

8 | 0

9 | 3

36 | 6

8 | 2√2

8 | -2√2

To solve the equation x = y², we can substitute the values of x and find the corresponding values of y in the table.

Let's fill in the missing entries one by one:

For x = 9, we need to find y. Since x = y², we take the square root of both sides to solve for y. So, y = √9 = 3. Therefore, the corresponding value for y is 3.

For x = 36, again, we apply the square root operation to both sides, giving y = √36 = 6. Hence, the corresponding value for y is 6.

For y = 2√2, we need to find x. Squaring both sides of the equation, we have [tex]x = (2\sqrt2)^2 = 4 \times 2 = 8[/tex]. Therefore, the corresponding value for x is 8.

For y = -2√2, we follow the same process as in step 3. Squaring both sides, we get [tex]x = (-2\sqrt2)^2 = 4 \times 2 = 8[/tex]. So, the corresponding value for x is 8.

After filling in the missing entries, the completed table is as follows:

x | y

8 | 0

9 | 3

36 | 6

8 | 2√2

8 | -2√2

Please note that there can be multiple valid solutions for this equation, but this table provides one possible solution.

For more such questions on table

https://brainly.com/question/12151322

#SPJ8

Solve How many four-digit numbers can be formed using the numbers 2, 3, 4, 5 and 6. If the first and last digit must be even numbers and repetition is not allowed?​

Answers

There are 48 four-digit numbers that can be formed using the numbers 2, 3, 4, 5, and 6, where the first and last digits must be even numbers and repetition is not allowed.

1. Since repetition is not allowed, we need to determine the number of choices for each digit.

2. The first digit must be an even number. There are 2 even numbers available: 2 and 4.

3. The last digit must also be an even number. There are 2 even numbers available: 2 and 4.

4. For the second digit, any of the remaining 3 numbers can be chosen (3, 5, or 6).

5. For the third digit, any of the remaining 2 numbers can be chosen (the two numbers not used in step 4).

6. To find the total number of four-digit numbers, we multiply the number of choices for each digit: 2 (choices for the first digit) * 3 (choices for the second digit) * 2 (choices for the third digit) * 2 (choices for the last digit) = 48.

7. Therefore, there are 48 four-digit numbers that can be formed using the numbers 2, 3, 4, 5, and 6, where the first and last digits must be even numbers and repetition is not allowed.

For more such questions on digit, click on:

https://brainly.com/question/13019020

#SPJ8

Other Questions
Write a two-column proof to verify that the given conjecture is true.a. If 5x+1 / 2 -8=0, then x=3. E-commerce is centred on three major trends, which are ..... A: Business, Technology, and Society B: Business, Technology, and Security C: Business, Telecommunications, and Society D: Brands, Technology, and Society If money is worth 10%, compounded semi-annually, what is the value of a $5000 bond bearing interest at 5% every 6 months if it is bought today and matures in 7 years? Walk through the steps and set up the dimensional analysis.How many moles of sodium chloride are in a saltshaker thatcontains 14 grams of salt? Express the end behavior of each function using limits that allow you to find these limits without graphing.f(x) = x + 7x + 1 f(x) = 3x7 / x4x8 if 5 crates of oranges weigh 200 pounds and each empty crate weighs 5 pounds, how many pounds of oranges are there in the five crates? What should be the indication on the magnetic compass when you roll into a standard rate turn to the left from a south heading in the northern hemisphere? SCIENTIFIC INQUIRY Critics of GM foods have argued that transgenes may disturb cellular functioning, causing unexpected and potentially harmful substances to appear inside cells. Toxic intermediary substances that normally occur in very small amounts may arise in larger amounts, or new substances may appear. The disruption may also lead to loss of substances that help maintain normal metabolism. If you were your nation's chief scientific advisor, how would you respond to these criticisms? Given that y is invesly proportional to the cube root of x and that x=64 when y=12.75,find the change in the value of y when the value of x is divided by 125 Build a theory that fails the conditions to be a good theory (similar to what I did in class with the examples a gave, but something different (i.e. to open a can of food, to arrive to the sun, Malaga FC is champion, etc, etc). This going to be more difficult: now build a theory that meets the two conditions in order to be a good theory (why you think it was more difficult?) How does mass customization change the traditional concept of consumption? suppose you were considering starting a self-organized learning university in the education space to compete with other universities. Conduct Porter five forces. What are some biases that may be influencing the interpretation of the equal pay in sports for men, woman and minorities in the sports industry? Explain other viewpoints on the issue in a balanced, logical manner. What other arguments are being made about this issue? Select one of the other viewpoints on the issue and analyze it for potential biases. How did you recognize these biases? Solutions Approach: Based on analysis, what recommendations might you propose to address the the issue of equal pay. Defend your recommendations using examples from other relevant solutions applied in the sport industry or other related field. Proposed Conceptual Framework for Driving Change: How might you integrate your proposed recommendations into a conceptual plan for driving change regarding your chosen issue? (In other words, how do you see yourself driving change regarding this issue, and how will your analysis of the issue and your recommendations help you?) What management and leadership theories might you apply to assist you in driving change in a equal pay in sport not just for woman but minorities. Please cite sources used Do you believe that the united states has a responsibility to live up to ideals espoused in a poem? why? A diver has 1.7 L of air in her lungs at an air temperature of 29.9 C and a pressure of 1.3 atm. What is the volume (in L ) of air in her lungs after she dives, while holding her breath, to a depth of 19.6 m, where the temperature is 9 C and the pressure is 1 atm? Enter to 3 decimal place. A 73.7 g sample of dinitrogen monoxide is confined in a 2.8 L vessel. What is the pressure (in atm) at 16.8 C ? R=0.0821 L atm/molK Enter to 1 decimal place. In 2020 Sisters Construction agreed to construct a residence hall at University of Nebraska at a price of $1,150,000. The information relating to the costs and billings for this contract is shown below. 2020 2021 2022 Costs incurred during the year $ 280,000 $320,000 $350,000 Estimated costs to complete 520,000. $400,000 0 Customer billings to date 300,000 400,000. 450,000 Collection during this year 200,000 320,000 400,000 Compute the gross profit (loss) recognized in 2021 for the percentage of completion method and the completed contract method, respectively. A. $(32,500) and 0 B. $0 and (20,000) C. $0 and $0 D. $66,667 and $23,333 Please ASAPP I HAVE ONLY 20 MINUTES PLEASE HELP ME. answer in your own terms ASAPPP PLEASE SUBJECT: Consumer Behavior PRODUCT CHEVROLET a. Include an advertisement of the product that appeals to consumers emotions. Discuss in terms of visceral responses, type(s) of cognitive appraisals, and affect b. Review the major personality traits examined in consumer research. Which traits are likely to appeal to consumers purchasing and using the product ? Explain The charge of atheism leveled at SocratesA) allows Socrates to deflect attention away from the charge of not believing in the citys gods. B) is part of Meletus brilliant prosecutorial strategy to expose Socrates godlessness. C) is inconsistent with the original indictment against Socrates. D) is supported by eye-witness testimony. E) Both A and C and a total of 250.000 machine hours would be logged. The following data relates to the *,000 physical urits in the frst pincess departinentis begnring invertory for March Percentagas of Completion: 75% tomplete weh respect to diroct material, 30% complete with respoct to cocrersion. Cost Assigned to Units: 52,000 tor drect material costs, $3,000 for conversion costs. inventory during the morth. The departiment logged 240,000 actual machine hours durting the month. comprision costs. Complete the following statements reiated to the operations in the frat processing department (round al caicidations to the nearest hirdredth); Quesson 1: The cost to oanglete an unit in the first department in FEBRUARY was A. $10.00 d. $5.00 C. $725 D. $2.67 E. $12.67 Question 2-The cost of goods compleled and transferred out during MMRCH to deoartment 2 was A. 5123,574 B. \$754.081 c. $636,429 D. $236 A20 1. 5505,000 Scenario 1: An individual is referred by his employer because of what his employer suspected was a drinking problem. At the first meeting, the counselor informed the client that one of the purposes for their coming together was for the counselor to make an assessment of the client for possible alcohol abuse. The counselor informed the client that he was asked by the employer to assess the employee and to determine whether he had an alcohol problem and if so to determine the degree to which it would impair his work performance. The counselor noted that he was expected to give this information in a written report to the employer as a condition of the employee's return to work. The counselor suggested that any specific information gathered in their interview would not be shared with the employer but that his clinical impressions regarding the existence of a possible drinking problem and the degree to which that, should it exist, could impair the employee's work performance would be shared with his employer. The clinician presented in writing the steps he would take and asked the client if he understood and if he would sign the paper as evidence of his informed consent to release that information to his employer. Question: Was the Client Informed? Give reasons for your answer