Answer:
- 2
Step-by-step explanation:
To rationalise multiply by its conjugate.
The conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] then
([tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] ) ← expand using FOIL
= ([tex]\sqrt{3}[/tex] )² - [tex]\sqrt{15}[/tex] + [tex]\sqrt{15}[/tex] - ([tex]\sqrt{5}[/tex] )²
= 3 - 5
= - 2
What is the value of f(-1/4)?
Answer:
i think its -0.25
Step-by-step explanation:
i dont really ave an explanation a just used a calculator
Hi can someone help me plz??????
8=y+3 solve for the variable
Answer:
5
Step-by-step explanation:
8 = y + 3
5 + 3 = 8
Therefore y = 5
Answer:
y = 5
8=y+3
8-3=y+3-3
5=y
hope it's helpful ❤❤❤❤
THANK YOU.
The distance traveled by a toy car can be modeled by D(t) = t3 − 3t2 + t − 3, where t > 3 represents time in seconds. If the car traveled for t − 3 seconds, identify the expression that represents the speed of the toy car.
Answer:
[tex]t^2+1[/tex]
Step-by-step explanation:
We are given that
Distance traveled by a toy car
[tex]D(t)=t^3-3t^2+t-3[/tex]
Where t>3
Time taken by car =t-3 seconds
We have to find the expression which represents the speed of the toy car.
We know that
[tex]Speed=\frac{Distance}{time}[/tex]
Using the formula
[tex]Speed=\frac{(t^3-3t^2+t-3)}{t-3}[/tex]
[tex]Speed=\frac{t^2(t-3)+(t-3)}{t-3}[/tex]
[tex]Speed=\frac{(t-3)(t^2+1)}{t-3}[/tex]
[tex]Speed=t^2+1[/tex]
Hence, the expression which represents the speed of the toy car
[tex]t^2+1[/tex]
The expression that represents the speed of the toy car is [tex]t^2 + 1[/tex].
The calculation is as follows:Given that,
The distance traveled should be [tex]D(t) = t^3 - 3t^2 + t - 3[/tex]
Here t>3
Time taken by car = t -3 seconds
Now the expression should be
[tex]Speed = Distance \div time\\\\= ( t^3 - 3t^2 + t - 3) \div (t - 3)\\\\= t^2(t - 3) + (t - 3) \div (t - 3)\\\\= (t - 3) (t^2 + 1) \div (t - 3)\\\\= t^2 + 1[/tex]
Learn more: brainly.com/question/16911495
A mechanic charges $20.00 an hour, h for labor plus parts. If the parts cost $217.00, write a linear equation that will find the total cost, c.
Answer:
y=20x+217
Step-by-step explanation:
Divide the polynomials.
Your answer should be a polynomial.
22 - 71 +12
I-3
Answer:
x - 4
Step-by-step explanation:
Salim bought a fruitcake, cut off a piece from it, and ate the piece. The dimensions of the cake before and after he cut it, are shown below. What was the volume of the piece that Salim ate?
Answer:
C. 75 cu cm
75 cm³
Step-by-step explanation:
Volume of the cake when Salim bought it = length × width × height
= 15 cm × 6 cm × 5 cm
= 450 cm³
Volume of the cake after Salim cut a piece = length × width × height
= 12.5 cm × 6 cm × 5 cm
= 375 cm³
volume of the piece that Salim ate = Volume of the cake when Salim bought it - Volume of the cake after Salim cut a piece
= 450 cm³ - 375 cm³
= 75 cm³
volume of the piece that Salim ate = 75 cm³
You are paid $82.50 for 712 1/2 hours of work. What is your rate of pay?
Answer:
11.6 cents per hour.
Step-by-step explanation:
To find the rate per hour we divide the money paid by the number of hours: $82.50/712 = $0.116 per hour or 11.6 cents per hour.
Answer: 11.6 cents per hour.
Step-by-step explanation:
What number is 56% of 400? Show ALL of your work.
Answer: 224
Step-by-step explanation:
56% is the same as saying (56/100). When finding a percent of a number, you’re really setting up a ratio with the value x:
(56/100)=(x/400)
Then you just cross multiply:
(56 x 400)/100=x
x=224
Please help quick
10 points
Answer:
[tex]y = x - 1[/tex]
:))))))))))
Answer:
-1
Step-by-step explanation:
the line goes through the y axes and it goes over -1 as it passes
What is the value of X?
Answer:
x=12°
Step-by-step explanation:
180 - 90 = 4x - 2° + 3x + 8 °
90°= 7x + 6
90° - 6 = 7x
7x = 84
x= 84/7
x = 12
The cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25. Two boxes of envelopes and 6 boxes
of notebook paper cost $17. Find the cost of each. 8.
(Need step by step please!)
Answer:
Step-by-step explanation:
E for Envelopes
N for Notebook Paper
3E + 4N = $13.25
2E + 6N = $17
N = $2.45
E = $1.15
−6p=48
Help a kid out
Answer:
p = -8
Step-by-step explanation:
-6p = 48
divide both sides by -6
p = -8
Please help me graph
Y=1.5x
Will mark brainliest!!
can you help me plz
Tim and Kevin each sold candies and peanuts for a school fund-raiser. Tim sold 16 boxes of candies and 4 boxes of peanuts and earned $132. Kevin sold 6 boxes of peanuts and 20 boxes of candies and earned $190. Find the cost of each.
Answer:
Tim's Cost of the box of candy: 7$ for one box
Tim's Cost for the peanuts: $5 for one box
Kevin's Cost for the candy is: $8 for one box
Kevin's Cost for the peanuts are: $5 for one box
Step-by-step explanation:
Tim:
7x16=112
5x4=20
112+20=132
Kevin:
20x8= 160
5x 6=30
160+30 =190
tan 235° = 2tan20°+ tan215°
Given : tan 235 = 2 tan 20 + tan 215
To Find : prove that
Solution:
tan 235 = 2 tan 20 + tan 215
Tan x = Tan (180 + x)
tan 235 = tan ( 180 + 55) = tan55
tan 215 = tan (180 + 35) = tan 35
=> tan 55 = 2tan 20 + tan 35
55 = 20 + 35
=> 20 = 55 - 35
taking Tan both sides
=> Tan 20 = Tan ( 55 - 35)
=> Tan 20 = (Tan55 - Tan35) /(1 + Tan55 . Tan35)
Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1
=> Tan 20 = (Tan 55 - Tan 35) /(1 + 1)
=> Tan 20 = (Tan 55 - Tan 35) /2
=> 2 Tan 20 = Tan 55 - Tan 35
=> 2 Tan 20 + Tan 35 = Tan 55
=> tan 55 = 2tan 20 + tan 35
=> tan 235 = 2tan 20 + tan 215
QED
Hence Proved
Simplify the linear expression by subtracting,
(9x - 8) - (x +4)
O 10x -4
O 10x + 12
O 8x -12
-3x
Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink? Choose the correct equation and answer for this situation. I THINK THIS IS ABOUT RASIOS SO PLS HELP
Answer:
7 ÷ 84 = 84 = 12 ounces
_
7
Step-by-step explanation:
The equation will be 7x = 84. Then the number of ounces will each person get to drink will be 12.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Seven people are going to share an 84-ounce bottle of soda.
Let x be the number of the ounces bottle of soda of each person.
Then we have the equation will be
7x = 84
x = 84 / 7
x = 12
Then the number of ounces will each person get to drink will be 12.
More about the linear system link is given below.
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which expression is equivalent to 3 x 3 x 3 x 3
Answer:
I can’t c anything where are the answers we’re choosing ?
Step-by-step explanation:
Answer:
raise 3^4 and ans is 81 or u can simply multiply.
36 is 80% of what number?
Enter your answer in the box
Answer:
36 is what percent of 80? = 45.
Answer:
45
Step-by-step explanation:
46/80%
pretty simple I hope this helps you
Which value of y makes the inequality 3y^2+2(y-5)>8 true
A y=0
B y= -1
C y= -2
D y= -3
Answer:
Conclusion:
As y = -3 MAKES the inequality TRUE.
Therefore, option D i.e. y = -3 is true.
Step-by-step explanation:
Given the inequality
3y² + 2(y - 5) > 8
For y = 0
substitute y = 0 in the inequality
3y² + 2(y - 5) > 8
3(0)² + 2(0 - 5) > 8
3(0) + 2(-5) > 8
0 - 10 > 8
-10 > 8
FALSE!
-10 can not be greater than 8.
Hence, y = 0 does not make the inequality true.
For y = -1
substitute y = -1 in the inequality
3y² + 2(y - 5) > 8
3(-1)² + 2(-1 - 5) > 8
3(1) + 2(-6) > 8
3 - 12 > 8
-9 > 8
FALSE!
-9 can not be greater than 8.
Hence, y = 1 does not make the inequality true.
For y = -2
substitute y = -2 in the inequality
3y² + 2(y - 5) > 8
3(-2)² + 2(-2 - 5) > 8
3(4) + 2(-7) > 8
12 - 14 > 8
-2 > 8
FALSE!
-2 can not be greater than 8.
Hence, y = -2 does not make the inequality true.
For y = -3
substitute y = -3 in the inequality
3y² + 2(y - 5) > 8
3(-3)² + 2(-3 - 5) > 8
3(9) + 2(-8) > 8
27 - 16 > 8
11 > 8
TRUE!
11 is indeed greater than 8.
Hence, y = -3 MAKES the inequality TRUE.
Conclusion:
As y = -3 MAKES the inequality TRUE.
Therefore, option D i.e. y = -3 is true.
Answer:
D
Step-by-step explanation:
Please help meee. Look at te box
Answer:
(-4,0)
Step-by-step explanation:
If y=0 that means substitute the y into the top equation as 0. 0=x+4, subtract 4 on both sides. x=-4. Now we know y is 0 and x is -4 so the coordinate point is (-4,0). Hope this helps!
Select all the correct tables.
This table gives information on types of rooms occupied at a hotel in a day.
King Bed Queen Bed
Mountain View 25 18
Ocean View 12 20
Identify the tables that represent the relative frequencies of this data by rows or by columns. Round your answers to the nearest hundredth.
Answer:
the middle left and right
The table representing the relative frequencies by rows would be:
King Bed Queen Bed
Mountain 0.58 0.42
Ocean 0.38 0.62
The table representing the relative frequencies by columns would be:
King Bed Queen Bed
Mountain 0.68 0.47
Ocean 0.32 0.53
What is a relative frequency?Relative frequency is a statistical term that describes the proportion or percentage of times that an event or value occurs within a dataset or sample.
It is calculated by dividing the number of times the event occurs by the total number of observations in the dataset or sample.
We have,
To find the relative frequencies of this data by rows or by columns, we need to divide each count by the total number of rooms occupied. The total number of rooms occupied is:
25 + 18 + 12 + 20 = 75
To find the relative frequencies by rows, we divide each count by the total for that row:
For Mountain View rooms:
King Bed: 25/(25+18) ≈ 0.58
Queen Bed: 18/(25+18) ≈ 0.42
For Ocean View rooms:
King Bed: 12/(12+20) ≈ 0.38
Queen Bed: 20/(12+20) ≈ 0.62
The table representing the relative frequencies by rows would be:
King Bed Queen Bed
Mountain 0.58 0.42
Ocean 0.38 0.62
To find the relative frequencies by columns, we divide each count by the total for that column:
For King Bedrooms:
Mountain View: 25/(25+12) ≈ 0.68
Ocean View: 12/(12+20) ≈ 0.38
For Queen Bedrooms:
Mountain View: 18/(18+20) ≈ 0.47
Ocean View: 20/(18+20) ≈ 0.53
The table representing the relative frequencies by columns would be:
King Bed Queen Bed
Mountain 0.68 0.47
Ocean 0.32 0.53
Note that we round the relative frequencies to the nearest hundredth.
Thus,
The table representing the relative frequencies by rows and columns is given above.
Learn mroe about relative frequency here:
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Pls help semester ends to day pls help with both 16 and 17
Answer:
Step-by-step explanation:
16. -73.5 ft / 3 min = -24.5 ft/min
17. ($50.25 - $22.50 + $50.25 - $22.50 - $22.50) / 5 = $33 / 5 = $6.60
Answer:
16.-73.5÷3=-24.5 feet per minute
17.(50.25-22.5+50.25-22.5-22.5)÷5=6.6
Increase £55 by 37%
Give your answer rounded to 2 DP.
Answer:
75.35
Step-by-step explanation:
I hope this helped
Jayla has 500 stickers in a collection. She wants at least y stickers in her collection at the end of the month. She buys 25 stickers each day. Write an inequality tha
number of days. Enter your answer in the box provided.
Answer:
20
Step-by-step explanation:
500 divided by 25=20
The required inequality is 500 + 25x ≥ y which represents the given situation.
What is inequality?
Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Let x be the number of days Jayla buys stickers.
The total number of stickers Jayla has at the end of the month is 500 + 25x.
To represent the inequality that Jayla wants at least y stickers in her collection at the end of the month, we can write:
500 + 25x ≥ y
This inequality states that the total number of stickers Jayla has (500 + 25d) is greater than or equal to the number of stickers she wants (y) at the end of the month.
It gives the minimum number of days Jayla should buy stickers to achieve her goal.
Learn more about inequalities here:
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Solve the following equations:
A) 3x = 15
B) y + 7 = 13
Answer:
x=5
y=6
Step-by-step explanation:
a) 3x=15
/3
x=5
b) y+7=13
-7
y=6
Brian can iron 3 shirts in 5 minutes. If Brian irons at a constant rate, how many shirts can he iron in 30 minutes? WILL GIVE BRANLIEST
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
30/5 = 6
6 * 3 = 18
Is −5 a solution to the equation 6 + 5 = 5 + 8 +2? PLS HELP
Answer:
it is false
Step-by-step explanation:
Answer:
False
Step-by-step explanation
6+5 ?= 5+8+2
11≠15
False
With this equation it was asking you is 6+5 equal to 5+8+2
and the answer is no, false.
(06.01)
Solve the following system of equations and show all work.
y = x2 + 3
y = x + 5