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Grace [21]
2 years ago
13

A $\textit{palindrome}$ is a positive integer which reads the same forward and backward, like $12321$ or $4884$. How many $4$-di

git palindromes are there
Mathematics
1 answer:
Norma-Jean [14]2 years ago
4 0

There are 90 4-digit palindromes

<h3>What are palindromes?</h3>

Palindromes are numbers whose reverse is the same as the original number

<h3>How to determine the count of 4-digit palindromes</h3>

Since the digit is 4, then

  • The first digit of the palindrome can be any of 1 to 9 (i.e. 9 digits)
  • The second digit can be any of 0 - 9 (i.e. 10 digits)
  • The third digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

n =9 * 10 * 1 * 1

Evaluate the product

n =90

Hence, there are 90 4-digit palindromes.

Read more about numbers at:

brainly.com/question/251701

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X^3/x^1/6=x^a value of a in simplest form?
Afina-wow [57]

Answer: a = 17/6

Step-by-step explanation:

I will use two laws of indices to solve this question

1. x^a / x^b = x^(a-b)

2. x^a = x^b, => a = b

Using both laws

x³/x^1/6 = x^a

x^(3-1/6) = x^a

3 - 1/6 = a

a = 3 - 1/6

a = (18 - 1)/6 using LCM

a = 17/6

5 0
3 years ago
The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder
cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V=\pi r^2h, where r is the radius of cylinder,  h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

1600=\pi r^2(16).

Dividing both sides by 16, we get

\frac{1600}{16}=\frac{\pi r^2 (16)}{16}

r^2=100

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

\frac{x}{10}=\frac{4}{16}

\frac{x}{10}=\frac{1}{4}

Multiplying both sides by 10, we get

10 \times \frac{x}{10}=10 \times\frac{1}{4}

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height  = 4 in the formula of volume the cylinder, we get

V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.

Therefore, correct option is 25 pi cm^3.

8 0
3 years ago
Please answer ASAP....................................................thanks
Nikolay [14]

Answer:

I'm going to say answer B for the first question. I'm not sure for the second question.

Step-by-step explanation:

Angles are congruent when they are the same size.

5 0
3 years ago
20 POINTS WILL GIVE BRAINLIEST !!
12345 [234]
Answer
1
explanation
4 0
2 years ago
Read 2 more answers
1 and 2 thirds + 1 and a half ?
Rina8888 [55]

Answer:

1 2/3 + 1 1/2

Step-by-step explanation:

3 1/6

8 0
3 years ago
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