Answers
Step-by-step explanation:
a)2^8=256
2^5*2^x=2^8
5+x=8
x=8-5
x=3
b)(1/3)^6
(1/3)^2*(1/3)^x=(1/3)^6
2+x=6
x=6-2
x=4
therefore the value of x in a is 3
and the value of x in b is 4
hope it helps u...pls mark it as the brainliest answer..
a) The value of x is 3
b) The value of x is 5
Powers and indicesGiven the expression [tex]2^5\cdot 2^x = 256[/tex]
Using the law of indices, the equation becomes;
[tex]2^{5+x} = 2^8\\5 + x = 8\\x = 8 -5 \\x = 3[/tex]
Hence the value of x is 3
b)
[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = (\frac{1}{729})\\(\frac{1}{3})^{2+x} =(\frac{1}{729}) \\(\frac{1}{3})^{2+x} =(\frac{1}{3^7}) \\3^{-(2+x)}=3^{-7}\\-2-x = -7\\x = 5[/tex]
Hence the value of x is 5
Learn more on indices here: https://brainly.com/question/10339517
Related Questions
Modern car company has come out with a new car model, Market analysts predict that 4,900 cars will be sold in the first month and that sales will drop by 100 cars per month after that during the first year. Write out the first five terms of the sequence, and find the number of sold cars predicted for the twelfth month. Find the total predicted number of sold cars for the first year. a. The first five terms of the sequence are (Use a comma to separate answers.)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of cars sold in first month = 4900
Sales drop by 100 cars per month for the first year:
A(x) = a - 100(x - 1)
No = sale In first month = 4900
First five months
Ist month :
a = 4900
2nd :
4900 - 100 = 4800
3rd :
4800 - 100 = 4700
4th:
4700 - 100 = 4600
5th:
4600 - 100 = 4500
First five terms : (4900,4800,4700,4600, 4500)
Predicted sales for 12th month :
A(12) = 4900 - 100(12 - 1)
A(12) = 4900 - 1100
= 3800
Total sales for the first year:
4900+4800+4700+4600+4500+4400+4300+4200+4100+4000+3900+3800) =
= 52,200
Please help me similar triangles
Answers
Answer:
30 degrees
Step-by-step explanation:
14 + 5 + 11 = 30
180 / 30 = 6
6 x 5 = 30
So:
The smaller triangle is 30 degrees.
Hope this helps!
A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no membership fee, but that store charges $2.00 to rent a game. How many games need to be rented each month for the total fees to be the same from either store?
Answers
Answer:
6 games.
Step-by-step explanation:
Given that,
Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00
Another store has no membership fee, but that store charges $2.00 to rent a game.
Let there be n games needed to be rented each month for the total fees to be the same from either store.
Cost of first store = $7.50+$1.00n
Cost of another store = $2.00
If cost equals,
$7.50+$1.00n=$2
n=5.5 [tex]\approx[/tex] 6
Hence, 6 games needed to be rented each month.
If b= 40 degrees and c= 30 degrees, what is the measure of d?
Answers
Answer:
It would be D. 110 degrees
Step-by-step explanation:
A triangle is always equal to 180 degrees. So, if you add b + c, you get 70 degrees. Subtract that from 180, and you get 110. Hope this helped!
Answer:
a = 110 degree
d= 70 degree
Step-by-step explanation:
a+b+c = 180. (being sum of all interior angle of a triangle is 180 degree)
a+40+30 = 180
a=180-70
a = 110
Similarly,
a+d=180. (being supplementary angle)
110+d=180
d= 70
How to make 20 using the number 3,5,6,3 add
Answers
Answer:
3+3+6+5+3=20
Step-by-step explanation:
3+3=6
6+6=12
12+5=17
17+3=20
Answer:
(3x3)+6+5
Step-by-step explanation:
3 times 3 is 9
9 plus 6 is 15
15 plus 5 is 20
A car can travel 80 miles on 4 gallons of gasoline. If the gas tank, which can hold about 15 gallons, is half full, how many miles can the car travel before it runs out gas?
Answers
Answer: 150
Step-by-step explanation: A car can travel 80 miles on 4 gallons of gas if the gas tank can hold about 15 gallons is half full there will be 7.5 gallons of gas in the can so multipy the 80 miles by 1.875, 150
HELP ME PLZZI NEED HELP WITH THIS!!
Answers
Answer:
The answer is C
Step-by-step explanation:
You would move the dot on the number to the right 5 spots, ending up at -4.
Multiply and simplify the product.
–12i × 3i
Answers
Answer:
36
Step-by-step explanation:
Which graph represents the inequality y<−1+2x?
Answers
Answer:
B
Step-by-step explanation:
negative slope so the line will go down and it has a less than sign so the shade will be below it
Can someone help with this one?
Answers
Answer:
3!
Step-by-step explanation:
Re-write the standard form equations provided in slope-intercept form
4.5x – 10y = 15
Answers
Your homework grades are 92, 87, 74, 96, 83, 88, 91, 82, and 85. What score on your next homework will make the median and the mode equal? List the scores in order from least to greatest. You can use the strategy Systematic Guess and Check to help you find the solution.
Answers
Answer:Next homework Score should be 87.
Step-by-step explanation:
STEP 1
Listing the scores in ascending order ie from least to greatest gives
74, 82, 83, 85, 87, 88, 91,92, 96
STEP 2
we find the median--- The median score is the score that is in the middle of the set of results when arranged from lowest to highest as we have done above , which give us 87 as the median.
74, 82, 83, 85, 87, 88, 91,92, 96
Also Mode is the score with the highest frequency , ie the score which appears more than other numbers. For now we have no mode as all the numbers occurred once
Therefore in next exam, I should get a score of 87, making my scores to become
74, 82, 83, 85, 87, 87, 88, 91,92, 96
Now my mode becomes 87 ( highest frequency of occurrence ) and
My median becomes (87+ 87)/2 = 87 ( with the addition of a new score the total score become ten, which is now even, so we divide the addtion of the two middle numbers by 2 )
a sno-cone machine priced at 139$ is on sale for 20% off , the sale tax is 10
Answers
Answer:
The overall price would be 125.1
Step-by-step explanation:
The sales tax is $13.90
the sale takes off $27.8
So 139 - 27.8 + 13.9 is 125.1
pls rate my answer
2(x + 9) = 4(x - 7) + 2
Answers
Answer:
x = 22
Step-by-step explanation:
Step 1: Write equation
2(x + 9) = 4(x - 7) + 2
Step 2: Solve for x
Distribute: 2x + 18 = 4x - 28 + 2Combine like terms: 2x + 18 = 4x - 26Subtract 2x on both sides: 18 = 2x - 26Add 26 to both sides: 44 = 2xDivide both sides by 2: 22 = xRewrite: x = 22Step 3: Check
Plug in x to verify it's a solution.
2(22 + 9) = 4(22 - 7) + 2
2(31) = 4(15) + 2
62 = 60 + 2
62 = 62
Answer:
x=22
Step-by-step explanation:
2x+18=4x-28+2
2x+12=4x-26
2x+44=4x
44=2x
22=x
Someone help please!!
Answers
Answer:
B
Step-by-step explanation:
Even though -3.613 has more digits, if you add a zero to -3.63 it becomes -3.630. -3.630 is greater than -3.613.
Answer:
b i think
Step-by-step explanation:
Which expression has the same value as 59.2 - 84.7? *
27 points
A. 84.7 - 59.2
B. -84.7 + (-59.2)
C. 59.2 - (-84.7)
D. 59.2 + (-84.7)
Answers
Answer:
D. 59.2 + (-84.7)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What is 1.8 divided by 2? Show Work
Answers
Answer:
0.9
Step-by-step explanation:
Unless is there is another way to answer this question, all you have to do is put it into a calculator.
classify each equation below as a formula , a literal equation ,or both.
c=2d , a=1/2bh , y=2x-1, p=2e+ 2w
Answers
delete my answer please its useless
Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. Her first coupon was 20%. If she paid $30 for the shoes, what was the dollar amount taken off for the first coupon? She received a $____ discount with the first coupon.
Answers
Answer:
$10
Step-by-step explanation:
Because 20% of 50 is 10 so 50-10=40 then 40-30=10
A swimmer competes in a 200 meter free style race. If the swimmer finishes the race in 5 minutes. How fast was the swimmer swimming?
Answers
Answer:
40meters per minutes
Step-by-step explanation:
Answer:
40m/min
Step-by-step explanation:
200m/5min
40m/min
Hope this helps!
i need help with this equation can someone please help me
Answers
Answer:
d= 24
Step-by-step explanation:
-2= d/3 - 10
-6= d-30
-d=-30+6
-d= -24
d= 24
I need help with this question
Answers
Answer:
4.20
Step-by-step explanation:
Answer:
4.2
Step-by-step explanation:
it starts with 2.80 and four is that dou led so we have to find half of 2.8 then add it to find three (I'm bad at explaining)
80/91 + 5/9 plz help
Answers
Answer:
1.43467643468
Step-by-step explanation:
Answer:
I think the answer is 1.44
Step-by-step explanation:
this is a simplified version of 1.43467643
HELP ME PLEASE FAST
Answers
Answer:
3. x=4 4. x= 2
Step-by-step explanation:
just trust me
Kiana wants to purchase a new bicycle for $ 225.45 and helmet for $12.55. If the sales tax rate is 7%, what will be the total amount of Kiana’s purchase including sales tax? 7.13A
Answers
Answer:
$254.66
Step-by-step explanation:
225.45 + 12.55 = 238
7% of 238 = 0.07 × 238 = 16.66
16.66 + 238 = 254.66
I really need help with this one
Answers
Answer:
28
Step-by-step explanation:
Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:
3x+4 = 5x-6
3x+10 = 5x
10 = 2x
x = 5
Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:
(3*(5)+4)*2
=(15+4)*2
=19*2
=28
(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)
Therefore, the length of AC is 28.
An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
A. 312
B. 350
C. 494
D. 700
Answers
Answer:
B. 350
Step-by-step explanation:
done on edge
The sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
An arithmetic series contains 14 numbers.
The first number is 12.
The last number is 38.
As we know, the sum of the arithmetic sequence or series is given by:
S = (n/2)(a + l)
Here, S is the sum of the AP
n is the number of terms
a is the first term
l is the last term
n = 14
a = 12
l = 38
S = (14/2)(12 + 38)
S = (7)(50)
S = 350
Thus, the sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ5
How do you know whether two quantities x and y are proportional? Every ratio yx for related pairs of x and y is equivalent. Every sum x + y is the same for related pairs of x and y. Every x term is a multiple of the previous term. Every difference x – y is the same for related pairs of x and
Answers
Answer:
Two quantities x and y are said to be proportional if ratio yx for related pairs of x and y is equivalent.
Step-by-step explanation:
Two quantities x and y are said to be proportional if ratio [tex]yx[/tex] for related pairs of [tex]x[/tex] and y is equivalent.
The symbol ∝ is used to denote the proportionality. For example, if [tex]x[/tex] is proportional to y, then it is represented as [tex]x[/tex]∝y and if [tex]x[/tex] is inversely proportional to y, then it is represented as [tex]x[/tex] ∝ 1/y
which number is bigger than the other? -0.75 or -5/4!! Please help!
Answers
Answer:
-0.75
Step-by-step explanation:
-0.75 or -5/4
-0.75 or -1.25
-0.75 is bigger because it has a greater value.... it is closer to zero, on a number line.
Rewrite the expression in the form 3^n.
Answers
Explanation:
Cross off four copies of '3' in both the numerator and denominator. Each pair cancels because 3/3 = 1, and 1 times any number is the same number. See the diagram below.
The numerator will be left with two copies of '3'. The denominator won't have anything left.
So we have 3*3 = 3^2