Answer:
Step-by-step explanation:
It just so happens that all the numbers and variables in that expression are perfect squares. 4 has a square root of 2; 9 has a square root of 3; and b^6 has a square root of b^3. Putting that altogether into one simplified expression that we can square is:
[tex](\frac{2}{3}b^3)^2[/tex]
The expression as a square of a monomial (4/9b⁶) is (2²/3²b³)²
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
A monomial is a polynomial that has only one term.
Given, a monomial (4/9b⁶).
To write this monomial in terms of as a square of a monomial we'll factor out the power of 2 from each f the constants and variables contained in the monomial which is,
= (2²/3²b³)²
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Find the SUM of the first 20 terms in the following sequence.
2, 5, 8...
Step-by-step explanation:
2+3=5+3=8
2+5+8+11+14+17+20+23+26+29+32+35+38+41+44+47+50+53+56+59=
610
hope it helps!
Nash is training for a marathon and decides to train for 26 miles every week. In the first week, the ratio of the number of miles he ran to the number of miles he walked 3:10. In the fifth week the ration ran to walked is 8:5. How many miles did nash run in week 5
Answer:
16 miles
Step-by-step explanation:
From the question given above, the following data were obtained:
Miles per week for training = 26 miles.
In the 5th week:
Ratio of miles ran to miles Walked is 8:5
Thus, we can obtain the miles ran by Nash in the 5th week as follow:
Ratio ran = 8
Ratio walked = 5
Total ratio = 8 + 5 = 13
Miles per week for training = 26 mile
Mile ran in the 5th week = 8/13 × 26
Mile ran in the 5th week = 8 × 2
Mile ran in the 5th week = 16 miles
Therefore, Nash ran 16 miles in the 5th week of training.
Four relatives are going to give you money for your birthday. The amount each relative gives you is equally likely to be any number between $0 and $200. The chance that the total amount of money you receive is at most $300 is
What is 40% of 50,000
Step-by-step explanation:
this is your answer...........
On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was the temperature on Sunday? How did the temperature change? This is an easy question but a little bit harder to work out! This was a question on a recent quiz I had and I wanted to see if you guys could figure it out?!
Answer:
85 F
Step-by-step explanation: Subtract and add the increase and decrease along each day.
Friday: 82 F
Saturday: 80 F
Sunday: 85 F
I really need help with this question
$518.5 = $375 + $41x
Now that we have our equation, let's solve for the # of hours
Subtract $375 from both sides
$143.5 = $41x
Divide both sides by $41
3.5 = x
The number of labor hours was 3.5
Name a line by any two points on the line, or a lowercase script letter.
Answer:
Step-by-step explanation: A B
Lines can be named using any two points on the line or using a single cusive lowercase letter.
PLZ FAST I DONT WANNA DIE
Answer:
x=15
Step-by-step explanation:
<GCB=180-5x
<EBA=9x
<DAC=8x
The sum of the three exterior angles equals 360.
(180-5x)+9x+8x=360
180-5x+9x+8x=360
-5x+9x+8x=360-180
12x=180
x=15
Find a ratio that is equivalent to 9 to 15
The required equivalent ratio of the given ratio is 3/5.
Given that,
The ratio that is equivalent to 9 to 15 is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Mentioned ration,
= 9 / 15
Reducing the expression by eliminating the common factors
= 3 / 5
Thus, the required equivalent ratio of the given ratio is 3/5.
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Solve inequality.
|3n-2|-2<1
[tex]\text{Hello there! :)}[/tex]
[tex]\boxed{-1/3 < n < 5/3}[/tex]
[tex]|3n - 2| - 2 < 1[/tex]
[tex]\text{Begin simplifying by adding 2 to both sides:}[/tex]
[tex]|3n - 2| < 3[/tex]
[tex]\text{ Solve for the positive and negative solutions:}[/tex]
[tex]3n - 2 < 3\\\\3n < 5\\\\n < 5/3[/tex]
[tex]-(3n - 2) < 3\\\\\text{Switch sign when dividing by a negative:}\\\\3n - 2 > - 3\\\\3n > - 1\\\\n > -1/3[/tex]
[tex]\text{Therefore, the solutions for the inequality are:}\\\\-1/3 < n < 5/3[/tex]
12(p - 5) - 12 = 0
Please help quick!!!!! This is due at 8:00 AM!!!!!
Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday? 15 h + 9 less-than-or-equal-to 110 15 h + 9 greater-than-or-equal-to 110 9 h + 15 greater-than-or-equal-to 110 9 h + 15 less-than 110
Answer: 9h+15 > 110
Step-by-step explanation: ed 2020
You are selling candy bars for the school to
pay for your senior trip which costs $300. If
each candy bar costs $1.25 and you already
have $50 in sales. How many more candy
bars do you need to sell?
Answer:
200 bars
Step-by-step explanation:
$300 - $50 = the amount of money you still need, $250
250 dollars/$1.25 per bar = 200 bars you need to sell to get 300 dollars
You are part of a construction company that is supposed to build houses. An architect has left plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 25 houses. Island A and Island C have a total of 10 houses. Island B and Island C have a total of 25 houses. A total of 30 houses is to be built on the three islands. Determine how many houses are to be built on each island.
Answer:
Island A=5
Island B=20
Island C=5
Step-by-step explanation:
Island AB=25 house
Island AC=10 house
Island BC=25 house
Total =30 house
30-25 to get the house on island C which is 5
30-10 to get the house on island B which is 20
30 -25 to get the house on island A which is 5
A self-serve car wash charges $5.20 to use its facilities, plus an additional $0.66 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 9 minutes, how much was she charged?
A.$11.14
B.$14.20
C.$5.94
D.$5.86
The required amount charged to Tiffany for 9 minutes of the car wash is $11.14. Option A is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The additional charge for the time Tiffany was at the car wash was $0.66 per minute, so the total charge for 9 minutes would be
= $0.66 * 9
= $5.94.
Adding this to the original charge of $5.20 gives a total charge,
= $5.20 + $5.94
= $11.14.
Therefore, Tiffany was charged A) $11.14.
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9.63 repeating as a mixed number
Answer:
9 and 7/11
Step-by-step explanation:
i hope this helps
68% if the School of the Art Institute of Chicago's 3221 students are
female. How many of the students are women? *
Answer:1933
Step-by-step explanation:
Matthew is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Solve for r in terms of s, t, and u.
t=u-s+r
Answer:
r = t - u - s
Step-by-step explanation:
To solve for r in terms of s, t, and u, means to have r on one side and have t, u, and s.
t = u - s + r
t - u = s + r
t - u - s = r
Yoko has a rectangular poster that is 15centimeters long and 12 centimeters wide. What is the area of the poster in square meters.
Answer:
44
Step-by-step explanation:
you would add 15+15 and 12+12 because it is rectangular meaning there are 4 sides 2 for the y angle and 2 for the x angle
On Monday, you swim 12 laps in 30 minutes. On Tuesday, you swim 15 laps in 45 minutes. Are these rates proportional?
Answer:
no.
Step-by-step explanation:
12/30 = 0.4
15/45 = 1/3
Un comerciante compró 6 camionetas por $2310000. si quiere obtener una ganancia total de $577500 ¿en cuanto debe vender cada camión?
1.5 es la respuesta!!!!!!!!!
A hot air balloon has a height of 50 feet and is rising at a rate of 5 feet per minute. Another hot air balloon has a height of 70 feet and is rising at a rate of 3 feet per minute. After how many minutes will the balloons be at the same height?
If the number of minutes is represented by the variable x, then choose the equation that can be used to solve the problem.
2a−1/2a and 3a−1/3a , where a is a positive number.
Answer:
3/2a8/3aStep-by-step explanation:
Maybe you want to simplify each of these expressions.
2a -1/2a = (2 -1/2)a = (3/2)a
__
3a -1/3a = (3 -1/3)a = (8/3)a
Using exponents, what is the simplified form of 12x 6x7 оа 23 Ob 2x3 ос 63 6x 6x3
12x^5 / 6x^2 = 2x^3
Answer choice B is correct.
Add. (f + 3) + (2f + 8)
Answer:
3f +11
Step-by-step explanation:
[tex](f + 3) + (2f + 8)[/tex]
Open the bracket
[tex]f + 3 + 2f + 8[/tex]
Group like terms
[tex]f + 2f + 3 + 8 \\ [/tex]
Simplify
[tex]3f + 11[/tex]
Answer:
it should be 3f+11
Step-by-step explanation:
Determine the unit rate then determine which is a better buy.
Option A: A 4 pack of 3.2-ounce servings of applesauce for $2.50 or Option B: 24 ounces of applesauce for $3.69
Answer:
Option B
Step-by-step explanation:
For option A:
4 pack of 3.2-ounce servings of applesauce cost $2.50. This implies that 4 × 3.2 ounce = 12.8 ounce servings of applesauce cost $2.50. Hence:
The unit rate = $2.50 / 12.8 ounce = $0.1953 per ounce
For option B:
24-ounce servings of applesauce cost $3.69. Hence:
The unit rate = $3.69 / 24 ounce = $0.15375 per ounce
From the unit rates of option A and option B, option B has a lesser unit rate, hence option B is a better buy.
10 POINTS : What is the solution? (the x-value)
-0.41x + 2.9 = 8.1x + 45.64
Answer:
x= - 4274/851 or -5.02
Step-by-step explanation:
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?
Answer:
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
7933 parts
b) How many would have a tensile strength in excess of 48 pounds?
2739.95 parts
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
z = (x-μ)/σ
x = 35 μ = 40 , σ = 5
z = 35 - 40/5
= -5/-5
= -1
Determining the Probability value from Z-Table:
P(x<35) = 0.15866
Converting to percentage = 15.866%
We are asked how many will fail to meet this specification
We have 50,000 parts
Hence,
15.866% of 50,000 parts will fail to meet the specification
= 15.866% of 50,000
= 7933 parts
Therefore, 7933 parts will fail to meet the specifications.
b) How many would have a tensile strength in excess of 48 pounds?
z = (x-μ)/σ
x = 48 μ = 40 , σ = 5
z = 48 - 40/5
z = 8/5
z = 1.6
P-value from Z-Table:
P(x<48) = 0.9452
P(x>48) = 1 - P(x<48)
1 - 0.9452
= 0.054799
Converting to percentage
= 5.4799%
Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds
We are asked, how many would have a tensile strength in excess of 48 pounds?
This would be 5.4799% of 50,000 parts
= 5.4799% × 50,000
= 2739.95
Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds
A jug contains 20 3/8 cups of lemonade. If you are serving guests at a summer picnic, how many glasses can you fill if each guest gets 1 1/2 cups of lemonade?
Answer:
13 glasses
Step-by-step explanation:
Given:
Amount of of lemonade available = 20⅜ cups
Amount of lemonade per guest = 1½ cups
Required:
Number of glasses to be filled
SOLUTION:
Number of glass to be filled = amount of lemonade available ÷ amount of lemonade per guest
= 20⅜ ÷ 1½
Change both mixed fractions to improper fractions
= [tex] \frac{163}{8} [/tex] ÷ [tex] \frac{3}{2} [/tex]
Flip the fraction on your right upside down and change the division to multiplication
[tex] = \frac{163}{8} * \frac{2}{3} [/tex]
[tex] = \frac{163*2}{8*3} [/tex]
[tex] = \frac{163*1}{4*3} [/tex]
[tex] = \frac{163}{12} = 13.58 [/tex]
Number of glasses that would be filled is roughly 13 glasses.