1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
UNO [17]
2 years ago
15

1] If 221ₓ= 25₁₀ find X 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x 3] if 23ₓ = 1111₂ find x

Mathematics
1 answer:
Olin [163]2 years ago
5 0

1.

2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4

The base can't be negative, therefore x=3.

2.

3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7

3.

2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7

You might be interested in
1\2 ÷ 1\2 i dont know the please help
marysya [2.9K]

Answer:

I think 1/2 divided 1/2 is equal to 1

Step-by-step explanation:

I put in into the calculator and it said 1

7 0
3 years ago
Read 2 more answers
Find the total number of four-digit numbers you can write using only digits that are even numbers?
vova2212 [387]
We assume that you don't want to count numbers that start with 0, so there are 4 possible first digits and 5 possible digits in each of the remaining places.

4*5^3 = 500 . . . . total number of 4-digit numbers using only even digits

_____
The list of them would be ...
2000, 2002, 2004, 2006, 2008, 2020, ..., 8868, 8880, 8882, 8884, 8886, 8888
6 0
3 years ago
A box contains 4 black shirts, 8 blue shirts, 4 black pants, and 10 blue pants. Determine the probability of randomly selecting
Marrrta [24]
All in all there are 26 pieces of clothing available. The probability of randomly selecting a blue piece is equal to 18/26. Also, the probability of picking up a pants is 14/26. There are 10 blue pants and the probability of picking up one of those is 10/26. The answer can be computed as follows:
                P(A or B) = (18/26) + (14/26) - (10/26) = 22/26 
                            P(A or B) = 22/26 or 11/13
7 0
3 years ago
PLZ HELP ON THIS AH its another trigonometry question:
lord [1]

Answer:

523.8 miles

Step-by-step explanation:

The drawing attached represents the question. We create a triangle with the distances from each pair of cities, and we call the distance from B to C by 'd'.

First, we need to find the angle BAC:

55° + BAC + 7° = 90°

BAC = 28°

Then, we can use the law of cosines to find the value of d:

d^2 = 470^2 + 890^2 - 2*470*890*cos(BAC)

d^2 = 470^2 + 890^2 - 2*470*890*0.8829

d^2 = 274365.86

d = 523.8 miles

3 0
3 years ago
Which weighs more, one that weighs 2/3 of a pound or one that weighs 5/6 of a pound?
xeze [42]

Answer:

5/6 of a pound

Step-by-step explanation:

When you multiply 2/3 by 2 it will equal 4/6 making it smaller then 5/6. and divide the fraction and you will see which is smaller.

4 0
3 years ago
Other questions:
  • (Add 34 and 6) , Times 3 as an expression
    10·1 answer
  • Find the area of the triangle with ∠A = 86, b = 4 ft, and c = 3 ft. Round your answer to two decimal places.
    7·1 answer
  • What is 65% of 80x please show your work
    9·1 answer
  • You lost your cell phone and have to use a phone booth. The call will cost $0.25 for the first minute and
    13·2 answers
  • What is the sum of the geometric sequence 1,-6,36... if there are 6 terms
    13·1 answer
  • Will mark BRAINLIESTT
    13·2 answers
  • 16.) The function C(x) – 25x + 50 represents the cost (in dollars) for
    15·1 answer
  • Z=-3x2+2ey-2y+3 cực trị tự do
    7·1 answer
  • A bet offering 4:1 odds pays __________. A. $4 for each $1 bet B. $1 for each $4 bet C. $3 for each $1 bet D. $3 for each $1 bet
    12·1 answer
  • State and prove De Moivre's theorem
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!