If you wrote out 6543^8901 as an integer, what would its units' digit be?

Answers

Answer 1

Answer:

BRAINLIEST PLEASE!!!!!!!!!

Step-by-step explanation:

The units digit of a number raised to a power depends on the units digit of the base number and the value of the exponent. The units digit of 6543 is 3. The last digit of powers of 3 repeat in a cycle of numbers – 9, 7, 1 & 3. Since 8901 is one more than a multiple of 4 (8900), the units digit of 6543^8901 is the same as the units digit of 3^1, which is 3.


Related Questions

PLEASE HELP I CANT FAIL! PLEASE HELP​

PLEASE HELP I CANT FAIL! PLEASE HELP

Answers

Answer:

send me link

Step-by-step explanation:

i need link to help

Answer:

I wrote answers to what I can see below. I'm happy to walk you through the rest of the problem if you can write out the rest in a comment, or LMK if you post a new pic/question.

Step-by-step explanation:

Step 1 answers:

What do you want to know: How many bicycles, how many unicyles?

What do you know?

A bicycle has 1 seat and 2 wheels

a unicycle has 1 seat and 1 wheel

there are a total of 18 seats and 28 wheels

Step 2 answers:

let b = number of bicycles

let u = number of unicycles

Suppose the area of the base of a triangular prism is 15 sq in and the height is 48 inches. What is the same about this prism and the prism in the example? What is different?

Answers

Both the given prism and the example prism have a triangular base, but they differ in their dimensions (base area and height).

The given prism and the example prism share the similarity of having a triangular base. However, they differ in their specific dimensions. The given prism has a base area of 15 square inches and a height of 48 inches. On the other hand, the example prism may have a different base area and height.

The similarity lies in their overall shape, which is a prism with a triangular base. This means both prisms have three rectangular faces and two triangular faces.

However, the specific measurements of their base area and height set them apart, resulting in different volumes and surface areas. The example prism serves as a reference or comparison, while the given prism is characterized by its unique measurements.

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Solve for y: 3(4y – D = 2(5y + ż).
The solution is y =
The solution is

Answers

Answer:

12y-10y=2z-2D

2y=2z-3D

Divide both sides by 2

Y=z-3D

Absolutely

John can skate 1,000 meters in 200 seconds. How many meters per second can he skate?

Answers

Answer:

John can share 5 meters per second

Question:

Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.

Answer:

What does point G represent in this context?

Chanas distance from the starting line at a time when she is farther than Josiah.

PLS HELP
NO STEALING POINTS
NO LINKS
AND ONLY CORRECT ANSWERS
I AM GIVING BRAINLIEST

PLS HELP NO STEALING POINTS NO LINKSAND ONLY CORRECT ANSWERSI AM GIVING BRAINLIEST

Answers

Answer: 2x-14

Step-by-step explanation: The inverse of 1/2x is 2x and the inverse of positive 7 is negative 14. :)

a/a+b is the same as

Answers

a/a+b is the same as a/(a+b). This is because the division of two numbers is represented by the symbol '/', and when a and b are being divided, it is written as a/b.

In this case, a and b are being divided by a+b, so it is written as a/(a+b). This is known as a fraction, which represents a ratio of two numbers. This fraction represents the proportion of a to the total of a+b. The numerator (a) represents the part of the total that you are interested in, and the denominator (a+b) represents the entire quantity.

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Zera has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125. Estimate the number of months that Zera can continue this pattern until she reaches her limit?

Answers

Answer: 80/3 months

Step-by-step explanation:

Let x be the number of months until Zera reaches her limit.

Then on month x, her charges are 200x, and her payments are 125x.

This leaves her with 200x - 125x = 75x dollars owed.

we need to see when this equals 2000, so she hits her limit:

2000 = 75x

.: x = 2000/75 = 80/3

She can continue her pattern for 80/3 months, (≈26.666667)

Find the coordinates of R if Q(-1, 3) is the midpoint ofhas coordinates of (5, 6)

Answers

The midpoint is given by the following expression:

\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

Where:

Therefore:

\((M_x,M_y)=(\frac{X_1+X_2}{2},\frac{y_1+y_2}{2})\)

Replacing:

Mx= 5 and My=6

Qx= X1 =-1 and Qy= y1=3

Rx=X2 and Ry= Y2

\((5,6)=(\frac{-1+x_2}{2},\frac{3+y_2}{2})\)

Equating the x component and solving for X2:

\(\begin{gathered} 5=\frac{-1+x_2}{2} \\ 5*2=-1+x_2 \\ 10+1=x_2 \\ x_2=11 \end{gathered}\)

Doing the same with the y component:

\(\begin{gathered} 6=\frac{3+y_2}{2} \\ 6*2=3+y_2 \\ y_2=12-3=9 \\ y_2=9 \end{gathered}\)

Answer: the coordinates of R are: (X2,Y2) = (11 , 9).

Find the coordinates of R if Q(-1, 3) is the midpoint ofhas coordinates of (5, 6)

A 15-foot log is cut into two pieces. How long is each piece if the longer piece is 1.5 feet shorter than twice the shorter piece?

Answers

Given that:

A 15-foot log is cut into two pieces.

Longer piece is 1.5 feet shorter than twice the shorter piece.

Solution:

Let the length of shorter piece be x feet. So,

Length of longer piece = 2x-1.5 feet

Total length = x+(2x-1.5) feet

Now,

\(x+(2x-1.5)=15\)

\(3x-1.5=15\)

\(3x=15+1.5\)

\(3x=16.5\)

\(x=\dfrac{16.5}{3}\)

\(x=5.5\).

So, length of shorter piece is 5.5 feet.

\((2x-1.5)=2(5.5)-1.5\)

\((2x-1.5)=11-1.5\)

\((2x-1.5)=9.5\)

So, length of longer piece is 9.5 feet.

The set of
includes both rational and irrational numbers.
A
integers
B
real numbers
с
whole numbers
D
counting numbers

Answers

The set of real numbers includes both rational and irrational numbers.


1. Real numbers: Real numbers include all rational and irrational numbers. They can be represented on a number line and are not limited to whole numbers or integers.

2. Rational numbers: Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. They can be written in the form a/b, where a and b are integers and b is not equal to 0. For example, 3/4, -2/5, and 0.6 are all rational numbers.

3. Irrational numbers: Irrational numbers are numbers that cannot be expressed as a fraction or a ratio of two integers. They cannot be written in the form a/b. Examples of irrational numbers include √2, π (pi), and e.

Therefore, the set of real numbers includes both rational and irrational numbers.

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a certain examination of 12 questions was graded by giving 10 points for each correct answer and by then deducting 5 points for each incorrect answer. david attempted all 12 questions, leaving no question unanswered and scored a total of 75 points. how many wrong answers did he have?

Answers

Therefore, David had 5 wrong answers.

To find out how many wrong answers David had, we need to calculate the number of correct answers first. Since each correct answer is awarded 10 points, and David scored a total of 75 points, we can divide 75 by 10 to find the number of correct answers.

75 ÷ 10 = 7.5

Since we can't have half a correct answer, we can conclude that David had 7 correct answers.

Now, to find the number of wrong answers, we subtract the number of correct answers from the total number of questions. In this case, there were 12 questions in total.

12 - 7 = 5

Therefore, David had 5 wrong answers.

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Can someone help me, please? :((((

Can someone help me, please? :((((

Answers

Answer:

C 132 square units

Step-by-step explanation:

. Happy Friday

Solve for x:
4x - 7 = 2

Answers

2.25



add 7 to both sides= 9
divide by 4 =2.25

Find the measure of DAE
-need the work shown please

Find the measure of DAE-need the work shown please

Answers

Answer: 48 degrees

Step-by-step explanation:

Inscribed angle theorem, image below.

Find the measure of DAE-need the work shown please

How to convert milligrams to micrograms

Answers

Formula to convert milligrams to micrograms: Number of micrograms = Number of milligrams x 1000

To convert milligrams (mg) to micrograms (μg), you need to multiply the number of milligrams by 1000. This is because there are 1000 micrograms in one milligram.

Here is the formula:

Number of micrograms = Number of milligrams x 1000

For example, let's say you want to convert 5 milligrams to micrograms. You would use the formula as follows:

Number of micrograms = 5 mg x 1000 = 5000 μg

Therefore, 5 milligrams is equal to 5000 micrograms.

It's important to pay attention to the units when making conversions, as mixing up units can lead to errors in calculations.

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Convert the following number to binary, octal and hexadecimal. 25, 37, 40, 45, 90 iii. Convert the following number system into decimal number system. (19FDE)16 (BBC.10)16 (0.9D9)16 iv. Convert the following number system into hexa number system. (4768)10 (1248) 10 (9298)10 Convert the following number system into decimal number system. (12570)s (21.21) (100.01)g Convert the following number system into octal number system. (177)10 (7878)10 (9298)10

Answers

\((25)_{10} =(11001)_{2} \\(25)_{10} =(31)_{8} \\(25)_{10} =(19)_{16} \\\\(37)_{10}=(100101)_{2}\\(37)_{10}=(45)_{8}\\ (37)_{10}=(25)_{16}\\ \\(40)_{10} =(101000)_{2} \\(40)_{10} =(50)_{8} \\(40)_{10} =(28)_{16} \\\\(45)_{10} =(101101)_{2}\\ (45)_{10}=(55)_{8} \\(45)_{10}=(2D)_{16}\\\\(90)_{10}=(1011010)_{2}\\(90)_{10}=(132)_{8}\\(90)_{10}=(5A)_{16}\\\\\)

is 91.7% rational or irrational​

Answers

Answer: Hi! 91.7% is a rational number. Because...

Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!

a square pyramid has a slant height of 3 in. and a surface area of 40 in.2. what is the length of an edge of the base, in inches?

Answers

Answer:

4 inches

Step-by-step explanation:

slant height = 3, surface area = 40.

let L = length of one side (since it's a square, it will be L for each edge of the base).

surface area = base + 4 sides of triangles

= L² X 4 (0.5 X base X height)

= L² X 4(0.5 X L X 3)

= L²+ 6L.

But surface area = 40.

So L² + 6L = 40.

Subtract 40 from both sides:

L² + 6L - 40 = 0.

Use the quadratic formula:

L = ((-b ± √(b² - 4ac)) ÷ 2a)

where a is the value of the first coefficient, b is value of the second and c is value of the constant.

L = ((-6 ± √(6² - 4(1)(-40))) ÷ 2(1))

= ((-6 ± √(36 + 160)) ÷ 2)

= (-6 ± 14) ÷ 2

= (-6 + 14) ÷ 2 or (-6 - 14) ÷ 2

= 4 or -10.

So L = 4 or -10. But L is a length, so it must be positive. So L = 4.  

Length = 4 inches

of the 254 counties in texas, how many have child care programs that state they provide nighttime care for children?

Answers

By following these steps, you should be able to find the number of counties in Texas with childcare programs offering nighttime care for children.

To answer your question about how many of the 254 counties in Texas have child care programs that state they provide nighttime care for children, we would need to access current data on child care programs in Texas. Unfortunately, I do not have that specific data at the moment. However, I can guide you on how to find this information.
Begin by visiting the Texas Health and Human Services website (https://hhs.texas.gov) as they are responsible for overseeing child care licensing in the state. Look for information on licensed child care facilities that provide nighttime care.
Utilize websites such as Child Care Aware (https://www.childcareaware.org) or Child Care Finder (https://childcarefinder.com), where you can search for child care programs in Texas by county, and filter your search to include only programs offering nighttime care.
You may also want to check with local county websites or contact the County Clerk's office for information on child care programs within their jurisdiction, specifically those offering nighttime care.
Compile the data gathered from the above sources to determine how many of the 254 Texas counties have child care programs providing nighttime care for children.
By following these steps, you should be able to find the number of counties in Texas with child care programs offering nighttime care for children.

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In a math class with 19 students, a test was given the same day that an assignment
was due. There were 12 students who passed the test and 13 students who completed
the assignment. There were 4 students who failed the test and also did not complete
the assignment. What is the probability that a student completed the homework given
that they passed the test?

Answers

Answer:  5/6

======================================================

Work Shown:

A = number who passed test, and did the hwB = number who passed test, but didn't do the hwC = number who failed test, but did the hwD = number who failed test, and didn't do the hw

With a class total of 19, we know that A+B+C+D = 19.

12 students passed the test, which leaves 19-12 = 7 people who failed the test.

Of these 7 people who failed the test, 4 of them didn't do the hw. This leads to D = 4.

Note how C+D = 7 becomes C+4 = 7 and it solves to C = 3.

Since 13 people did the hw, we can say A+C = 13. Plug in that value of C we found earlier, to find that A = 10.

Lastly, solving A+B = 12 leads to B = 2.

------------

To summarize what we found so far:

A = 10B = 2C = 3D = 4

Now onto the question your teacher is asking: "What is the probability that a student completed the homework given that they passed the test?"

The key phrase here is "given that they passed the test". Because of this phrase, we'll ignore anyone who didn't pass. We'll focus solely on the 12 students who passed. Of those 12 who passed, we found that A = 10 people did the hw.

Therefore, the probability of picking someone who did the hw, given the passed the test, is 10/12 = 5/6

A free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. The goalie is standing on the goal line at a point where he is 3 yards from the left post and 5 yards from the right post, to be sure that the angle that the kicker can kick and score is bisected. How far is the kicker from the right post, to the nearest yard?




A.


8 yards


B.


17 yards


C.


14 yards


D.


23 yards

Answers

Answer:

the anwser is 23 yards

Answer:

d

Step-by-step explanation:

plato

there are 24 and 40 students in the class the ratio is 4:7 how many students are in the class

Answers

Answer:

33 Students

Step-by-step explanation:

4+7=11 so the number of students in the class must be a multiple of 11. The only multiple of 11 between 24 and 40 is 33.

a dessert chef prepares the dessert for every day of a week starting with sunday. the dessert each day is either cake, pie, ice cream, or pudding. the same dessert may not be served two days in a row. if there must be ice cream on sunday and pie on saturday, how many different dessert menus for the week are possible?

Answers

There are a total of 3 × 3 × 3 × 3 = 81 different dessert menus for the week that are possible.

In order to solve the problem, let's begin by considering the conditions given. The dessert chef prepares dessert for every day of a week starting with Sunday. The dessert options include cake, pie, ice cream, or pudding. The same dessert may not be served two days in a row, and it is required that there must be ice cream on Sunday and pie on Saturday.Therefore, let's start by considering the dessert for Sunday, which must be ice cream. As ice cream cannot be served on the following day, the dessert for Monday must be either cake, pie, or pudding. On Tuesday, the dessert options are cake, pie, and pudding again since ice cream was served on Sunday. Following the same reasoning, the dessert for Wednesday must be ice cream, and the options for Thursday are cake, pie, or pudding. On Friday, the dessert options are the same as Thursday since ice cream was served on Wednesday. Finally, pie must be served on Saturday.Therefore, there are three possible dessert options for Monday, Tuesday, Thursday, and Friday: cake, pie, or pudding. On Sunday, ice cream is mandatory, and on Wednesday, ice cream must be served. On Saturday, pie must be served.

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A cubical tank was filled with water. some of the water in the tank was poured into an empty rectangular container until it was completely filled. there were 788 cm of water left in the cubical tank. what was the length of an edge of the cubical tank?

Answers

The length of an edge of the cubical tank is approximately 9.41 cm.

To find the length of an edge of the cubical tank, we can use the given information.

We know that the water in the cubical tank was poured into an empty rectangular container until it was completely filled. Therefore, the volume of water in the rectangular container is equal to the volume of the cubical tank.

Let's assume that the length of an edge of the cubical tank is x cm. Since it is a cube, the volume of the cubical tank is x^3 cubic cm.

Now, let's calculate the volume of the rectangular container. We know that there were 788 cm of water left in the cubical tank. So, the volume of the rectangular container is 788 cubic cm.

Since the volume of the cubical tank is equal to the volume of the rectangular container, we have the equation: x^3 = 788.

To solve for x, we take the cube root of both sides of the equation: x = ∛788.

Calculating this, we find that x ≈ 9.41 cm.

Therefore, the length of an edge of the cubical tank is approximately 9.41 cm.

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What is the opposite operation of the square root?

Answers

Answer:

The opposite of multiplication is division. The opposite of division is multiplication. The opposite of taking a square root is squaring

Step-by-step explanation:

what is the missing number​

what is the missing number

Answers

Answer i believe the rule is y= x/2 so n=6

Step-by-step explanation:

When number is multiplied by 4 subtracting from 68, the result obtained is the same as three times the sum of the number and 4 find the number

Answers

Answer:

Let the no.be X

when multiplied by 4 = 4X

68-4X=3(X+4)

68-4X=3X+12

collecting like terms together,

7X=56

therefore; X=8

hence ,the number is 8.

from 27 days to 30 days.

Answers

Answer:

3 days away????

Step-by-step explanation:

if z²+1/z²=14, find the value of z³+1/z³ by taking only the positive value of z+1/z

no spam and kindly explain please.​

Answers

THE ANSWER IS 52

Given z²+1/z² =14

using above equation,

z²+1/z² = 14

add 2 on both side,

z² + 1/z² + 2 = 14 + 2

the LHS is whole square of z + 1/z

so we can write it

(z + 1/z)² = 16z + 1/z = 4

Now we know,

(a + b)³ = a³ + b³ + 3ab(a+b)

here, a = z and b = 1/z,

substituting a and b in equation we will get,

(z + 1/z)³ = z³ + 1/z³ + 3z/z( z+ 1/z)

4³ = z³ + 1/z³ + 3×4

z³+ 1/z³ = 64-12

z³ + 1/z³ = 52

Answer:

52.

Step-by-step explanation:

Using the identity a^3 + b^3 = (a + b)(a^2 - ab + b^3):

z^3 + 1/z^3 = (z + 1/z)(z^2 - z *1/z + 1/z^2)

= (z + 1/z) (z^2 - 1 + 1/z^2)

= (z + 1/z) (14 - 1 )

= 13(z + 1/z).

Now using the identity a^2 + b^2 = (a + b)^2 - 2ab:

z^2 + 1/z^2 = ( z + 1/z)^2 - 2(z * 1/z)  = 14 So:

( z + 1/z)^2 - 2 = 14

( z + 1/z)^2 = 16

Taking z + 1/z = 4 we therefore have:

z^3 + 1/z^3 =  13 * 4 = 52.

What is 16% of 78? Round to the nearest tenth.

Answers

What is 16% of 78? Round to the nearest tenth.

16% = 0.16

so:

0.16 * 78 = 12.48

round:

12.5

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