Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22 By finding the quotient of the bases to be one fourth, and cancelling common factors By finding the quotient of the bases to be one fourth, and simplifying the expression By simplifying 8 to 23 to make both powers base two, and subtracting the exponents By simplifying 8 to 23 to make both powers base two, and adding the exponents
Answer:
we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.
Step-by-step explanation:
We have been given the expression [tex]\frac{2^5}{8}=2^2[/tex]
8 can be rewritten as [tex]2^3[/tex]
Hence, the given expression becomes
[tex]\frac{2^5}{2^3}=2^2[/tex]
After subtracting the exponents on left hand side of the equation we get:
[tex]2^2=2^2[/tex]
we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.
Answer:
cStep-by-step explanation:
We have been given the expression 2^5/8=2^2
8 can be rewritten as 2^3
Hence, the given expression becomes
2^5/2^3=2^2
After subtracting the exponents on left hand side of the equation we get:
2^2=2^2
we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.
•WILL GIVE BRAINLIEST!•
The chart shows the numbers of lines Ana and Daris used in poems they wrote.
Based on the data, which statement is true?
A. In Ana’s data, the median is closer to the mean than in Daris’s data.
B. In both sets of data, the mode is greater than the median
C. In both sets of data, the mode is equal to the median
D. In Daris’s data, the median is closer to the mean than in Ana’s data
Based on the data, the true statement:
In Ana’s data, the median is closer to the mean than in Daris’s data.
What is the median?The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of the data point. To find the median first arrange the data points in ascending order.
Given:
The chart shows the number of lines Ana and Daris used in their poems.
In Ana's data;
the median = 30
The mean = 36 and the mode = 30
In Daris's data;
the median = 50
The mean = 39 and the mode = 10.
From the given choices;
In Ana’s data, the median is closer to the mean than in Daris’s data.
Therefore, the median is closer to the mean.
To learn more about the median;
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Austin is using a funnel shown to fill a glass bottle with colored sand Estimate the volume of the funnel number 21 please
Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh? Greg weighs 200 pounds, and Justin weighs 185 pounds. Greg weighs 190 pounds, and Justin weighs 175 pounds. Greg weighs 180 pounds, and Justin weighs 165 pounds. Greg weighs 170 pounds, and Justin weighs 155 pounds.
Answer:
greg weighs 180 justin weighs 165
Step-by-step explanation:
Write the first terms of the sequence. Rule:start at 1/2,add1/3
Represent the proportional relationship described with an equation where p equals pepperoni and z equals pizza: eighteen pepperoni for each pizza A) p = 18z B) 18p = z C) p = 18 z D) z = 18 p
Answer:
The answer is A. p=18z I just took the test
Answer:
It is A I got it right on usa test prep
Step-by-step explanation:
What is the value of the expression, written in standard form? (6.6x10^-2)/(3.3x10^-4)
Answer: Value of expression is 200.
Step-by-step explanation:
Since we have given that
[tex]\dfrac{6.6\times 10^{-2}}{3.3\times 10^{-4}}[/tex]
We need to use "law of exponents":
[tex]a^m\div a^n=a^{m-n}[/tex]
So, it becomes
[tex]\dfrac{6.6\times 10^{-2}}{3.3\times 10^{-4}}\\\\=2\times 10^{-2+4}\\\\=2\times 10^2\\\\=200[/tex]
Hence, Value of expression is 200.
What shows all like terms in this expression?
4x - 3 + 7x + 1
Answer:
a
Step-by-step explanation:
What is the best approximation for the area of this circle?
Use 3.14 to approximate pi.
Answer:
The answer is C
50.4m²
Step-by-step explanation:
To find the area of the circle the formular is
Formular for area of circle = πr²
π = 3.14
r = 4m
Therefore
Area = 3.14 * 4²
= 3.14 * 16
= 50.24m²
So the answer is C
50.4m²
dennis wants to buy a card for his wife. dennis calculates the amount of the card as $4.50. the actual price of the card is $4. what is Dennis's percent error?
Final answer:
Dennis's percent error in estimating the price of the card is 12.5%, calculated by taking the difference between his estimate and the actual price, dividing by the actual price, and then multiplying by 100.
Explanation:
Dennis calculated the amount of the card as $4.50, but the actual price is $4.00. To find Dennis's percent error, we'll need to calculate the difference between his estimated price and the actual price, and then divide that by the actual price. Finally, we'll multiply that number by 100 to get the percent error.
Here's how we'll calculate it:
Divide the error by the actual value: $0.50 ÷ $4.00 = 0.125.
Multiply by 100 to convert to a percentage: 0.125 × 100 = 12.5%.
The percent error in Dennis's estimate is 12.5%.
when writing an equation of a proportional relationship in the form y equals KX what does K represent
Answer:
k = the constant of proportionality .>. sorry this already kinda answered ;w;'
Jones of Boston borrowed $40,000, 90 day, 10% note. After 60 days Jones made an initial payment of $6,000. Assuming the U.S. Rule what is adjusted balance after the first payment. Use 360 days.
Who can help me with #9 a. and b.
Explain the Segment of Decant Theorem for Geometry
(A rectangular prism has a length of 1 1/4 yards, a width of 2 1/2 yards, and a height of 4 yards.
Enter the volume of the prism as a mixed number in simplest form in the box.
Answer:
Step-by-step explanation:
It is given that A rectangular prism has a length of [tex]1\frac{1}{4}[/tex]yards a width of [tex]2\frac{1}{2}[/tex] yards, and a height of 4 yards.
Now, the volume of the prism is given as:
[tex]V=Length{\times}width{\times}height[/tex]
[tex]V=\frac{5}{4}{\times}\frac{5}{2}{\times}4[/tex]
[tex]V=\frac{25}{2}[/tex]
[tex]V=12\frac{1}{2}cubic yards[/tex]
Therefore, the volume of the rectangular prism will be [tex]V=12\frac{1}{2}cubic yards[/tex].
Answer:
V=12 1/2cubic yards.
Step-by-step explanation:
A trapezoid window has a height of 18 centimeters. The bases of the window are 34 and 28 centimeters long. What is the area of the window?
The area of the trapezoid window is 396cm sq.
The area of a trapezoid window can be calculated using the formula:
Area = 1/2 x (base1 + base2) x height
Plugging in the values:
base1 = 34 cm
base2 = 28 cm
height = 18 cm
Area = 1/2 x (34 + 28) x 18 = 396 cm²
Christopher Christopher just found beautiful yarn for 20% off at his favorite yarn store. He can make one scarf from 2/3 of a ball of yarn. If Christopher buys 12 balls of yarn, how many scarves can he make
You and your friend are selling tickets to a charity event. You sell 4 adult tickets and 11 student tickets for $148. Your friend sells 7 adult tickets and 5 student tickets for $145. What is the cost of a student ticket?
Need help with number 12 please, thanks.
A human society has 73 dogs and cats to be adopted. the number of cats is 10 more than twice the number of dogs. Write a system of linear equations that represent this situation. How many of each animal is up for adoption?
A linear equation of one variable is expressed in the form of ax + b = 0, where a and b are the two integers, and x is a variable.
In the given question, the linear equation can be represented as:
2x + 10 + x = 73.
The number of dogs is 21, and the number of cats available is 52.
Given that:
Total number of dogs and cats = 73
Let the number of dogs be x.
The number of cats, as given is = 10 + 2x
Now, solving for the equation:
x + 10 + 2x = 73
Solving for the variables:
3x + 10 = 73
3x = 73 -10
3x = 63
x = [tex]\dfrac {63}{3}[/tex]
x = 21
The number of dogs available is 21.
The number of cats available is:
2x + 10
Putting the value of x:
2 (21) + 10
52
Thus, the number of dogs is 21, and the number of cats available is 52.
To know more about linear equations, refer to the following link:
https://brainly.com/question/11897796
What number could be added to 0.40 mL for the level of precision to be 0.01mL
Answer:
- 0.39
Step-by-step explanation:
Level of precision = 0.01 mL
We need to find a number which could be added to 0.40 mL for the level of precision to be 0.01 mL .
Let x be a number which could be added to 0.40 mL for the level of precision to be 0.01 mL .
[tex]x+0.40=0.01[/tex]
On subtracting 0.40 from both sides , we get
[tex]x+0.40-0.40=0.01-0.40[/tex]
On solving , we get
[tex]x+0=0.01-0.40[/tex]
We know that [tex]x+0=x=0+x[/tex] where 0 is the additive inverse .
So,
[tex]x=0.01-0.40[/tex]
Here , [tex]0.01-0.40=-0.39[/tex]
Therefore ,
[tex]x=0.01-0.40=-0.39[/tex]
Therefore , -0.39 could be added to 0.40 mL for the level of precision to be 0.01mL
The length of a rectangle is 6 inches more than it’s with the perimeter of the rectangle is 24 inches what is the width and length of the rectangle
Jessica has the option to switch to a plan that charges $65.00 per month with unlimited text messages. Jessica typically sends about 900 text messages per month. Does it make sense for her to switch to the new plan ? explain.
Jessica has the option to switch to a plan that charges $65.00 per month with unlimited text messages.
Jessica typically sends about 900 text messages per month.
Cost per message under the new plan = $65 / 900 = $ 0.072 per message
It make sense for her to switch to the new plan only if the cost per message in her existing plan is more than $ 0.072
Hope this helps..!!
Thank you :)
10p = 66 what is the value of p
The sum of three consecutive even numbers is 48. What are the smallest of these numbers?
Wesley walked 11 miles in 4 hours if he walked the same distance every hour , how far did he walk in one hour
Wesley walked 2.75 miles in one hour, calculated by dividing the total distance (11 miles) by the total time (4 hours).
The question asks how far Wesley walked in one hour if he walked 11 miles in 4 hours at a consistent pace. To find this, we can calculate his average speed by dividing the total distance by the total time. This gives us an equation: Average speed = Total distance / Total time, which simplifies to: Average speed = 11 miles / 4 hours.
Performing the division, we get an average speed of 2.75 miles per hour. Therefore, Wesley walked 2.75 miles in one hour.
Your friend invites you to go to an indoor skateboard park. You'd like to go, but since you don't have a helmet or knee pads, you'll have to rent them. You'll also need to but a day pass to enter the park.
Write a formula that will help you determine your total cost.
Let's let:
h = helmet rental
k = knee pad rental
p = cost of day pass
c = total cost
HELP What is the area of this figure?
please help with number #22
Last year, at the Great American Pie Festival, over 16,000 slices of pie was eaten. If each piece of pie is 1/8 of and entire pie, how many pies were eaten at the festival?
Answer:
2,000 pies!
Step-by-step explanation: