Answer: 4/9
Step-by-step explanation:
[tex]\displaystyle\\(\frac{27}{8} )^{-\frac{2}{3}} =\\\\(\frac{3*3*3}{2*2*2})^{-\frac{2}{3}}=\\\\ (\frac{3^3}{2^3} )^{-\frac{2}{3}} =\\\\((\frac{3}{2})^3)^{-\frac{2}{3} } =\\\\(\frac{3}{2})^{-\frac{3*2}{3}} =\\\\(\frac{3}{2})^{-2}=\\\\(\frac{2}{3})^2 \\\\\frac{2^2}{3^2} =\\\\\frac{4}{9}[/tex]
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
5y2 - 8y = 2
The solution of y are 1.82 and -0.22
The general expression for quadratic equation is given as :
ax² + bx + c = 0
The quadratic formula of the above equation is given as
x = -b ± √b²-4ac / 2a
According to the question we have been the expression as
5y² - 8y = 2
Converting it into general expression we get
5y² - 8y - 2 = 0
Putting the required value in above quadratic formula we get
y = -(-8) ± √(8)² - 4*5*(-2) / 2*5
y = 8 ± √64 + 40 / 10
y = 8 ± √104 / 10
y = (8 ± 10.2)/10
y = 8 + 10.2 / 10 and y = 8-10.2 / 10
y = 18.2 / 10 and y = -2.2/10
y = 1.82 and y = -0.22
Hence the solution of y are 1.82 and -0.22
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Graph the compound inequality 6x+2y<12 or x-6y>6
The graph of the compound inequalities with intersection points
(2.21, -0.63) is given below.
Please see the graph attached.
What is compound inequality?A compound inequality has two inequality statements joined either by the "or" or “and.”
We have,
6x+2y<12 or x-6y>6
We can graph each inequality.
And we also need to see the intersection between the inequalities.
Let,
6x + 2y = 12____(1)
x - 6y = 6_______(2)
From (1)
x = (12 - 2y ) / 6 put in (2)
(12 - 2y) / 6 - 6y = 6
2 - 1/3y - 6y = 6
2 - 6 = (1/3)y + 6y
-4 = 19y / 3
y = -12 / 19
y = - 0.63 put in (1)
6x + 2 x (-0.63) = 12
6x = 12 + 1.26
x = 13.26 / 6
x = 2.21
The point of intersection on the graph is (2.21, -0.63).
Thus the graph of the compound inequalities with intersection points (2.21, -0.63) is given below.
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The monthly rent on an -square-meter apartment in Monte Carlo, Monaco, is $1000 euros. The monthly rent on a 450-square-foot apartment in Santa Fe, New Mexico, is $900. In terms of price per area, which apartment is less expensive?
The apartment in santa fe is less expensive
Rent in an-square-meter apartment in Monte Carlo = 1000 euros.
rent on a 450-square-foot apartment in Santa Fe = $900
To Find:
Which apartment is less expensive =?
Price per area in Monte Carlo
Cost per square meter in Monte Carlo
=>total rent / total area
=>1000/1
=> 1000euros per square meter
Converting to euros per square meter to dollars per square foot
1 Euro per square meter= 0.102355924 U.S. dollars per square foot
1000 euros per square meter = 0.102355924 x 1000 = 102.3559U.S. dollars per square foot------------------------(1)
Price per area Santa Fe, New Mexico
=>900/450
=>2
=> 2dollars per square foot-------------------------(2)
From (1) and (2)
102.3559> 2
Hence, The apartment in santa fe is less expensive
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I DONT UNDERSTAND HELP
Answer:
Step-by-step explanation:
298°+29°+(-116+x)°=360°
x=360°-298°-29°+116°
x=149°
Step-by-step explanation:
298°±29°±(-116±x°)=360
x=360°-298°-29°+116°
x=149°
the length of a rectangle is three more than double the width. if the perimeter is 126 inches, find the dimensions
Answer:
the answer is 378
Step-by-step explanation:
jist multiply 126 by 3
Can someone help me with this?
Answer:
Choice A: 11
Step-by-step explanation:
We have x² - y² = 19
x² - y² = (x + y)(x-y)
So (x + y)(x-y) = 19
Since x and y are integers as per the first statement (x, y ∈ Z), we also have x + y = integer and x-y = integer
Take (x + y)(x - y) = 19
Since 19 is prime its only factors are 1 and 19
So we have two situations which can satisfy the above
Either x + y = 1 and x -y 19 or x + y = 19 and x -y = 1
1. Let's try x + y = 1 and x - y = 19
Adding both equations together gives us 2x = 20 (y-terms cancel)
==> x = 10 ==> 10 + y = 1 or y = -9
So 2x - 9 => 2(10) - (-9) = 20 + 9 = 29
This is not one of the choices so we can go on to the next case
2 Let's take x + y = 19 and x - y = 1
Adding these two equations gives us
2x = 20, x = 10 as before
Use 10 in the equation x + y = 19
==> 10 + y = 19
==> y = 19 - 10 = 9
2x - y ==> 2(10) - 9 ==> 20 - 9 = 11
So answer is choice A: 11
5- b = 2t Solve for t or f I give extra points
Answer:
[tex]t = - \frac{1}{2} b + \frac{5}{2} [/tex]
EAY QUESTION 20 POINTS
Answer:
is it a im not sure im probably wrong
Answer:
B
Step-by-step explanation:
2^4 x 7^4 = (2 x 7)4 = 14^4
Question 4 true or false?
Answer:
True.Step-by-step explanation:
Solve equation:
1/5 / 2 = 1/10= 0.2 / 2 = 0.1=0.1 = 1/100.1 = 0.1 = 1/10This is true.Answer: true
0.1=[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]\frac{1}{5}/2[/tex]
Express [tex]\frac{1}{5}/2[/tex]
as a single fraction.
[tex]\frac{1}{5*2}[/tex]
Multiply 5 and 2 to get 10.
[tex]\frac{1}{10}[/tex]
FACTOR
[tex]\frac{1}{2.5}[/tex] =0.1
Find three consecutive even integers such that the square of the third is 52 more than the square of the second.
The Three consecutive numbers will be 24.5, 25.5, 26.5
We have to take three consecutive numbers. Let the first number be 'x' and the consecutive two numbers be (x + 1), and (x + 2).
It is given that the square of the third number is greater than the square of the second number by 52. We need to create an equation that represents this situation. So, we get :
=> (x + 2)² = (x + 1)² + 52
=> x² + 4x + 4 = x² + 2x + 1 + 52
=> x = 49/2 => x = 24.5
We get value of x = 24.5. Putting this value of x in consecutive numbers we get the first, second, and third numbers as 24.5, 25.5, and 26.5 respectively.
Hence, we get the three consecutive numbers: 24.5, 25.5, and 26.5
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Find the area of the parallelogram:
Answer:
36 unit^2.
Step-by-step explanation:
Area = base * perpendicular height
= 6 * 6
= 36.
Please help me solve this I’ll give you brainliest!
Answer:
b. x = -3
Step-by-step explanation:
3x + 6 = -3
- 6 | - 6 (isolate variable)
3x = -9
/3 | /3 (isolate variable_
x = -3
Can you help make a 10 help you add 7+4+5 explain
Answer:
16
Step-by-step explanation:
2(4x - 3) - 8 = 4 + 2x
Answer: x=3
Step-by-step explanation:
2(4x - 3) - 8 = 4 + 2x
8x - 6 - 8 = 4 + 2x
8x - (6 + 8) = 4 + 2x
8x - 14 = 4 + 2x
8x - 14 + 14 = 4 + 14 + 2x
8x = 18 + 2x
8x - 2x = 18 + 2x - 2x
6x = 18
6x/6=18/6
x=3
x = 3
first you want to distribute 2 to 4x and -3
8x-6 -8 = 4 +2x
then you subtract the numbers on the left side
8x-6-8
8x-14= 4 +2x
then we want to rearrange the 4 and 2x
8x - 14 = 2x+4
the add 14 to each side and move 2x to both sides
6x=18
then divide
x=3
if this helps Brainliest me on this answer thanks :)))
A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole. The individuals in this data set are shown below.
A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate.
Which of the variables in the data set is a categorical variable?
hole number
yards
bunker
difficulty level
The categorical data in the table is the number of holes (option 1).
What is a categorical data?Categorical variables are variables that can only take on a fixed or a limited number of values. Categorical variables are examples of qualitative data.
Categorical variables can be binary. This mean that they can either have two values. An example of categorical variable is yes or no. Binary variables can also be called dichotomous variable. A categorical variable is polytomous if can have more than two values.
In this question, the maximum hole number possible is 18 holes. The number of holes cannot exceed this number. Thus, the hole number is limited or fixed. Thus, hole number is a categorical data.
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mayas penny bank is 1/2 full. after she adds 120 pennies,it is 2/3 full. How,many pennis can mayas bank hold?
Answer:
720
Step-by-step explanation:
We are looking for the difference between 2/3 and 1/2, which we know to be 120. To subtract fractions of different denominators, we need to find the common denominator (this can be found by finding the LCM of both denominators)
120 = 2/3 - 1/2 = 4/6 - 3/6
1/6 = 120
We can multiply 120 by 6 to find the value of the full bank.
1/1 = 720
what is42089 divided by 8
Answer:
5261
Step-by-step explanation:
your welcome
Which fraction is equivalent to
9/18?
Answer:
Step-by-step explanation:
2/4
EASY QUESTION 20 POINTS 20 MiNUTS LEFT
Answer:
10.125 i know it hope thisbhelps
Step-by-step explanation:
-Solve for b
3b-5>-8 or b-4≤0
Answer: -1<b≤4
Step-by-step explanation:
3b-5>-8 or b-4≤0
3b>-3 or b≤4
b>-1 or b≤4
-1<b≤4
Solve |p + 2| = 10
{-8, 8}
{-12}
{-12, 8}
Answer:
{-12, 8}
Step-by-step explanation:
Let's solve your equation step-by-step.
|p+2|=10
Solve Absolute Value.
|p+2|=10
We know eitherp+2=10orp+2=−10
p+2=10(Possibility 1)
p+2−2=10−2(Subtract 2 from both sides)
p=8
p+2=−10(Possibility 2)
p+2−2=−10−2(Subtract 2 from both sides)
p=−12
Write the following expression using the fewest possible terms.
(−8 + 2.7p) + (13.6p − 2)
16.3p + (−10)
16.3p + (−6)
10.9p + (−6)
1.63p + (−10)
Answer:The answer would be 16.3p +(-10)
Step-by-step explanation: 13.6p + 2.7p is 16.3
-8-2 is -10
so the answer would be 16.3p +(-10)
The height above ground of a cannon is a function of the time since it was shot.
Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range.
The height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground
When time equals 0, why is the height of the cannonball not equal to 0?From the graph, we have the y-intercept to be
y-intercept = (0, y), where y > 0
This means that the graph starts above the origin
This in other words mean that the initial height of the cannonball is above the ground (e.g. it could be on a building)
Hence, the height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground
Describe the domain and the range of this functionIn this case, the domain is from t = 0 till the ball lands on the floor, while the range is from the initial height of the cannonball till the maximum height
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Seventy-seven million people were born between 1946 and 1964. The us census classifies this group of individuals as baby boomers. It is said that today and
If x varies directly as y and when x = 5, y = 20. Find the relationship between x and y.
the relationship between x and y when x varies directly is 4 x = y.
We know that when x varies directly with y, then:
x = k y
Now, we have x = 5 and y = 20
Substituting the values in the expression, we get that:
5 = 20 k
k = 5 / 20
k = 1 / 4
So, we get the relation as:
x = 1 / 4 y
4 x = y
Therefore, the relationship between x and y when x varies directly is 4 x = y.
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Whitney buys two submarine sandwiches for an after-school party. One sandwich is 45 inches long and the other sandwich is 20 inches long. Whitney wants to cut servings of the same length from both sandwiches, without having any sandwich left over. What is the greatest length serving that Whitney can cut?
Answer:
5 inches
Step-by-step explanation:
Whitney wants the greatest length that is an even divisor of both 45 inches and 20 inches.
Greatest common factorThe length Whitney is looking for is called the "greatest common divisor" (GCD) or "greatest common factor" (GCF) of the two numbers 45 and 20. There are a couple of different ways this can be found.
FactoringThe prime factors of the two numbers are ...
45 = 3×3×5
20 = 2×2×5
The only factor common to the two products is 5. It is the greatest common factor.
Whitney can cut lengths of 5 inches.
Euclid's algorithmAnother way to find the GCD is to use Euclid's algorithm. That has you ...
Divide the larger number by the smaller and keep the remainder.If the remainder is not zero, replace the larger number with it and repeat.If the remainder is zero, the smaller number is the GCD.Using this algorithm, we have ...
45/20 = 2 r 5
20/5 = 4 r 0 . . . . . The GCD is 5
Whitney can cut lengths of 5 inches.
A light bulb manufacturer did an inventory count
on the last day of the corporate financial year
It showed they had 2000 bulbs in the warehouse
Each bulb had been purchased at a delivered
cast of £2 with a average delivery cost of f0:30
per bulb and light bulbs have selling price of
£2.20 what is the value of the inventory.
The value of the inventory will be 4000
Bulbs in the warehouse: 2000 bulbs
Cost of each bulb to the manufacturer: 2
Average delivery cost = 0.30
The selling price of the bulb = 2.20
Value of inventory: The monetary value assigned to the items in inventory at the end of an accounting period is known as inventory valuation. The inventory is valued based on the expenses incurred to get it and prepare it for sale.
The biggest current business assets are inventories. You can assess your cost of goods sold (COGS) and, ultimately, your profitability, thanks to inventory valuation.
The value of the inventory is calculated on the cost price, therefore the value of the inventory will be:
= Cost of each bulb*Number of bulbs
= 2000*2
= 4000
So, the value of the inventory will be 4000
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Average Allowance
Amount Frequency
$20
$15
$10
$5
11 P What is the
mode of this
data on
allowance
amounts?
##
MH MH
|||
Answer:10
Step-by-step explanation:
help is appreciated!!!! NEED HELP ASAP.
Answer: wouldn't that be 10 feet and 8 feet?
Step-by-step explanation:
because they both are the same size on both sides
and i have no clue if that helped
Answer:
Area of two rooms is 357 square feet
Length of the baseboards = 89.5 ft
Step-by-step explanation:
Area and perimeter of rectangular room:Area of the room = length * width
Area of the two rooms = area of bigger room + area of smaller room
= 19 * 15 + 8 * 9
= 285 + 72
= 357 square feet
To find the length of the baseboard, we need to subtract the width of the opening (5 feet) and width of the entry (2 1/2 feet) from the perimeter of the bigger room and subtract the width of the opening (5 feet) from the perimeter of the smaller room.
Bigger room:
length = 19 ft
Width = 15 ft
Width of the entry = 2 1/2 ft = 2.5 ft
Width of the opening between two rooms = 5 ft
Perimeter of bigger room = 2l + 2w - 5 - 2.5
= 2*19 + 2*15 - 7.5
= 38 + 30 - 7.5
= 60.5 ft
Smaller room:
length = 8ft
Width = 9 ft
Width of the opening = 5 ft
Perimeter of the smaller room = 2*8 + 2*9 - 5
= 16 + 18 - 5
= 29 ft
Length of the base board = 60.5 + 29
= 89.5 ft
(6x²y − 7) − (3xy² + x²y² − 2)
Answer:
-x^2y^2+6x^2y-3xy^2-5
Step-by-step explanation:
It kind of depends on what you are planning to do with the following expression. However, if you are looking to simplify the expression, the solution is:
[tex]6x^2y-3xy^2+x^2y^2-9[/tex]
Hope this helps! If not, feel free to comment below and I will see what else I can do to help. If it did help, lmk! Thanks and good luck!