Answer:
A) = 4.
B) = 25.
C) = 4.
Step-by-step explanation:
We are given that a and b are positive integers and that:
[tex]a-b=2[/tex]
And we want to evaluate the following expressions.
Expression A)
We have:
[tex]\displaystyle \frac{2^a}{2^b}[/tex]
This is equivalent to:
[tex]=2^a\div 2^b[/tex]
Therefore:
[tex]=2^{a-b}[/tex]
Substitute and evaluate:
[tex]=2^{(2)}=4[/tex]
Expression B)
We have:
[tex]\displaystyle \frac{5^a}{5^b}[/tex]
This is equivalent to:
[tex]=5^{a-b}[/tex]
Again, substitute and evaluate:
[tex]=5^{(2)}=25[/tex]
Expression C)
Lastly, we have:
[tex]\displaystyle \frac{4^{0.5a}}{2^b}[/tex]
Note that 4 = 2². Hence:
[tex]=\displaystyle \frac{(2)^{2(0.5a)}}{2^b}[/tex]
Simplify:
[tex]=\displaystyle \frac{2^a}{2^b}[/tex]
Using the previous result:
[tex]=4[/tex]
Answer:
c=4
Step-by-step explanation:
becus rsm said it was correct
2/5 meters converted to centimeters
For questions 7 - 12, solve the problem, expressing your answer using the correct number of
significant figures.
Answer:
93.1
24.83
24.13
2755
12.75
0.151
Step-by-step explanation:
Given :
21.1 + 45.99 + 26.0 = 93.09
15.55 + 21.61 - 12.333 = 24.827
14 + 0.8 + 9.33 = 24.13
14.5 * 190 = 2755
5.1 * 2.5 = 12.75
0.15 ÷ 0.991 = 0.151
Jessica is shopping for a new car. She found a blue car that has a 12-gallon gas tank and can go 384 miles on one tank. She found a silver car that has a 14-gallon gas tank and can go 504 miles on one tank. Which car gets better gas mileage?
Answer:
Silver car
Step-by-step explanation:
It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.
so let's go with 10 gallons. pretty broad number right?
so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???
then we do that to 384 (the miles for the blue car)
(384/12)*10=320
so 320 is the mileage for the first car. Repeat the steps for the silver car!
(14/14)*10=10
so then: (504/14)*10= 360.
So which is bigger, 320 or 360?
360 is bigger, meaning it has better gas mileage.
a 42 foot flagpole near the washington monument casts a shadow that is 14 feet long. At the same time, the washington monument casts a shadow that is 185 feet long, how tall is the washington monument?
Answer: 555 feet
Step-by-step explanation:
Determine this one algebraically
Answer:
x = 5
y = 5
Step-by-step explanation:
In this question you need to solve one equation in order to plug the value into the second one and solve it as well. Lets start with the top one...
2x - x = 5
1x = 5
x = 5
Now we plug that value of x into the second equation
4x - 2y = 10
4(5) - 2y = 10
20 - 2y = 10
-2y = -10
y = 5
Finally, we can see that both x and y have a value of 5.
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Answer:
B. both the median and interquartile range of math is larger than science
Step-by-step explanation:
Math: 41, 82, 87, 88, 90, 93, 94, 94, 99
Median: 90
Interquartile range: 9.5
Science: 71, 75, 75, 77, 78, 79, 79, 81, 82
Median: 78
Interquartile range: 5
[tex]( \frac{8}{11}) {}^{7 - 2 \times 3 - 1} [/tex]
find the answer
Answer:
1
Step-by-step explanation:
[tex](\frac{8}{11})^{7- 2*3 - 1} = (\frac{8}{11})^{7- 6 - 1}\\\\=(\frac{8}{11})^{7- 7}\\\\=(\frac{8}{11})^{0}\\\\=1[/tex]
Not sure how to do number 14. Would like some help please.
Answer:
6x+y = 25
3x=14
=> x=14/3 => y = 25/6x = 25/28
Step-by-step explanation:
If p(x)=x+2, find p(x) when x=28.
Answer:
P=30
Step-by-step explanation:
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. At week 12, how much money will Sam have saved?
Answer:
$50 + ($30 x 12) = $410
Step-by-step explanation:
Answer:
$410.00
Step-by-step explanation:
The height of an acorn falling out of a tree is given by n = -16t2 + b. If an acorn takes 1 second to fall to the ground. What is the value of b?
Answer:
b = 16.
Step-by-step explanation:
When the acorn reaches the ground the height n = 0. So we have:
-16(1)^2 + b = 0
-16 + b = 0
b = 16.
Some one help me please
Can yall help me with this
Answer:
B. $54
Step-by-step explanation:
PEMDAS: Do multiplication and division first
65 - (2*7=14) + (9/3=3)
65-14+3
Go from left to right and solve
51+3=54
Move the dot to the number that equals 7 X
6
+
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7
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4
9
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Answer:
the answer is 21
Step-by-step explanation:
Please help will give you Brainliest *image
Answer:
5 folders and 5 pens = yes
6 pens and 6 erasers = yes
1 pen and 4 notebooks = no
3 folders and 7 erasers = no
4 folders and 2 notebooks = yes
Step-by-step explanation:
Max total = $10
(5 folders x 1.29) + (5 pens x 0.70)
6.45 + 3.50 = 9.95
(6 pens x 0.70) + (6 erasers x 0.89)
4.20 + 5.34 = 9.54
(1 pen × 0.70) + (4 notebooks × 2.35)
0.70 + 9.40 = 10.10
(3 folders × 1.29) + (7 erasers × 0.89)
3.98 + 6.23 = 10.21
(4 folders × 1.29) + (2 notebooks × 2.35)
5.16 + 4.70 = 9.86
if the side lengths are 9, 12, and 15, is this a right triangle?
Find the value of x in the triangle
Question 5 options:
x + 9 = 29
x=
Please solve for x.
-10,20,-40 what are the next two terms
Answer:
80
Step-by-step explanation:
10+10= 20
20+20=40
40+40=80
Answer:
80, -160
Step-by-step explanation:
Each term is being doubled and the sign is reversing for every term. So -10 doubled and flipping the sign results in 20. Doubling 20 and flipping the sign results in -40. So on and so forth.
please help. thanks.
If you bought a stock last year for a price of $68, and it has gone down 6.5% since
then, how much is the stock worth now, to the nearest cent?
In rectangle ABCD, AD=200, and diagonal AC=290, what is the perimeter of ABCD
Answer:
look at the picture i sent......
pls help look at the photo above
Answer:
G = 18.75
Step-by-step explanation:
A. 12.5 * 7.5 = 93.75
B. 10 * 7.5 = 75
93.75 - 75 = 18.75
please help me ill mark you brainliest and please show your work so i can write it down
Answer:
fourth answer must be correct
(4)
How long will it take to travel 432 kilometres at an average speed of
96 kilometres per hour?
Answer:
4.5hr
Step-by-step explanation:
v=s/t
t=s/v
432km/96km/hr
4.5 hr
km will will cancelled out
The time taken to travel 432 Km at an average speed of 96 Km/h is 4.5 h
What is average speed?Average speed is defined as the total distance travelled divided by the total time taken to cover the distance.
Average speed = Total distance / total time
How to determine the timeTotal distance = 432 KmAverage speed = 96 Km/hTime =?Average speed = Total distance / total time
96 = 432 / time
Cross multiply
96 × time = 432
Divide both side by 96
Time = 432 / 96
Time = 4.5 h
Learn more about speed:
https://brainly.com/question/680492
Will give brainlyist :D
Answer:
[tex] \boxed{80}[/tex]
20% of what number is 24
Answer:
20% of 120 is 24.
Step-by-step explanation:
i need to write 20 letters
The White Rabbit is multiplying 23 x 17. He says the answer is going to be greater than 17. Do you agree with him or disagree with him? Explain why.
Answer:
I agree with him.
Step-by-step explanation: 23 x 17=391
can someone answer these pls
Answer:
Exponential
Step-by-step explanation:
The y values are going up by a factor of 2 as x increases.
LaTeX: \left(3x^2\:-\:1\right)+\left(3x^2\:-x^3\right)( 3 x 2 − 1 ) + ( 3 x 2 − x 3 )
Answer:
I wanted to simplify since u didn't specify what u wanted: -x^3 + 6x^2 -1
Step-by-step explanation:
I assume this is what you typed: (3x^2 - 1) + (3x^2 - x^3)
-x^3 + 6x^2 -1
Answer:
-x³+6x²-1
Step-by-step explanation: Hope it helps