Answer:76
Step-by-step explanation:
Answer:
76 in³Step-by-step explanation:
Volume of gas varies directly as the cube of its radius.
V = kr³Find k:
108 = k(3³)k = 108/27k = 4Volume of the smaller balloon:
V = 4r³V = 4(2³) = 32 in³The difference in volumes is the volume of released gas:
108 - 32 = 76 in³verify that 1,-1,-3 are the zeroes of the cubic polynomial x3+3x2-x-3 and check the relationship between zeroes and the coefficient
Answer: yea its 123445
Step-by-step explanation:
1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
What is a Polynomial?Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns.
As per the given data:
We are given the equation of a cubic polynomial x³ + 3x² - x - 3.
The zeroes of the given cubic polynomial are also given.
We have to verify that the zeroes of the cubic polynomial are correct, and they satisfy the relationship between zeroes and the coefficient.
For a polynomial p(x) is p(a) = 0 then a is a zero of p(x).
Checking the given zeroes similarly:
For 1:
1³ + 3(1)² - 1 - 3 = 0
1 + 3 - 1 - 3 = 0
0 = 0
1 is a zero
For -1:
(-1)³ + 3(-1)² - (-1) - 3 = 0
-1 + 3 + 1 - 3 = 0
0 = 0
-1 is a zero
For -3:
(-3)³ + 3(-3)² - (-3) - 3 = 0
-27 + 27 + 3 - 3 = 0
0 = 0
-3 is a zero
For ax³ + bx² + cx + d = 0, the sum of all the roots should be equal to
= (-b)/a
Similarly, for x³ + 3x² - x - 3:
1 + (-1) + (-3) = (-3)/1
1 - 1 - 3 = -3
-3 = -3
1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
Hence, 1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
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A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 2 tables is 26$. The total cost to rent 3 chairs and 5 tables is 38$. What is the cost to rent each chair and each table?
Answer:
Chairs: 1.75 Tables: 8.50
Step-by-step explanation:
Find the domain and range of the relation.
{(-2, 3) (1, 2) (0, -1) (3, 1)}
5. Does the graph represent a function? *
1 point
Yes
O No
Answer:
No
Step-by-step explanation:
i did it on khan
5) At one store, a 2-liter bottle of soda costs $2.12. At another store, a 3-liter bottle
costs $3.15. Which bottle is a better deal?
Answer:
3 liter
Step-by-step explanation:
you will save $0.01
2.12/2 = 1.06
3.15/3= 1.05
Answer:
The 3-liter bottle is a better deal.
Step-by-step explanation:
The price of each liter for the 2 liter bottle is $1.06, while the price per liter for the 3-liter bottle is $1.05
PLEASE HELP THIS IS ONE OF MY OVERDUE ASSIGNMENTS AND I NEED HELP!!!
When 3a + 7b > 2a - 8b is solved for a, the result is (A) a > -b (B) a -15b
Answer: 4
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
When the inequality 3a + 7b > 2a - 8b is solved, the solution will be,
3a + 7b > 2a - 8b
3a - 2a > -7b - 8b
a> -15b
Hence, When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.
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PlZ HELP WILL GIVE BRAINLIEST .....THANKYOU
Answer: 3/4
Step-by-step explanation:
Slope formula is y2-y1 / x2-x1 or in this case 7-4 / 1--3 which equals = 3/4
Answer:
m=3/4
Step-by-step explanation:
can you guys help me?
14
Ajit is a barber
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 52 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Ajit charges his customers that day.
Answer:
y11_maths_foundation_mock_apr18_paper1_answers.pdf
Step-by-step explanation:
use it to get answer
This is from pre calc
Answer:
The dimensions are 106, 47,116
Step-by-step explanation:
[tex]when \: {(x + 10)}^{2} = {y }^{2} + {x}^{2} \\ then \: {y}^{2} = {(x + 10)}^{2} - {x}^{2} \\ {y}^{2} = {x}^{2} + 20x + 100 - {x}^{2} \\ {y}^{2} = 20x + 100 \\ then \: y = \sqrt{20x + 100} \\ when \\ area \: of \:rectangular \: = x \times y \\ then \\ x \times \sqrt{20x + 100} = 5000 \\ Square \: both \: sides \\ {x}^{2} (20x + 100) = 25000000 \\ 20 {x}^{3} + 100 {x}^{2} - 25000000 = 0 \\ Using \: the \: analysis \\ x = 106 \: \: \: or \: x = - 55.5 \\ \: We \: reject \: the \: negative \: solution \: because \: there \: is \: no \: length \: in \: the \: negative \\ then \: the \: dimensions \: are \: \\ 106 \\ 47 \\ 116[/tex]
A man is 32 years older than his daughter and the product of their ages is 320..
(a) Find the ages of the man and the daughter.
(b) In how many years' time will the daughter's age be one- third of her father's age?
Pls help me
The age of the man is 40 years and that of his daughter is 8 years respectively.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
Suppose the age of man be x.
Then, age of his daughter is x - 32.
As per the question the following equation can be formed for the product of ages as ,
x(x - 32) = 320
⇒ x² - 32x - 320 = 0
⇒ x = 40, -8
Since, age of a person cannot be a negative value, it is taken as positive.
Thus, the age of daughter is 40 - 32 = 8
Hence, the age of the man and his daughter is obtained as 40 and 8 years respectively.
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Write a mathematical expression for the word expression. Seven times a number plus one
Answer:
7x +1
Step-by-step explanation:
What is theoretical probability of pulling a green marble out of the bag?
Write an equation in slope intercept form for the line that goes through points (1.4,0) and (1,-2)
How much more does the 5-year loan cost overall than the 4-year loan?
Answer:
$600 overall
Step-by-step explanation:
Answer:
$600 more overall
Step-by-step explanation:
i'm great at math
A circle is the set of all points in a plane at a certain distance, its radius, from a certain point, its center.
Which of the following words in the definition is an undefined term used in geometry?
O point
radius
center
o distance
Answer: distance
Step-by-step explanation:
The rest of the words have actual accompanying definitions in geometry.
An undefined term used in geometry is the point.
An undefined term used in geometry?Three undefined concepts, or terms that don't need to be specified separately even though they are utilized to construct more intricate parts, are present in this case of Euclidean geometry.The three terms in geometry that aren't specified are:1. Point2.Line\s3. PlaneIn cartesian space, for example, a point cannot be defined specifically but can be utilized to define any triangle, line segment, or cube among other 2D or 3D objects. Similar to this, a line is nothing more than another arrangement of points that is used to define more intricate objects like a wire. While a plane is simply a group of lines arranged in a specific location and orientation, similar to a piece of land.
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21286272
Subtract - 2x – 10 from 10x2 + 3.
Answer:
Step-by-step explanation:
2x—33
y +3 = x
3x + 4y = 16
Step-by-step explanation:
y+3=x
or 0=x-y-3... ans
3x+4y=16
or, 3x+4y-16=0 answer.......
Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 4
Answer:
m<2 = 120
Step-by-step explanation:
When two lines are parallel and are intersected by a transversal, same side exterior angles are supplementary, meaning that their angle measures add up to 180 degrees.
Using this, one can form the equation;
m<8 + m<2 = 180
Substitute,
60 + m<2 = 180
Inverse operations,
60 + m<2 = 180
-60 -60
m<2 = 120
Answer:
Step-by-step explanation:
Solution
<8 = 60 degrees.
<6 is <8s supplement
<6 + <6 = 180
60 + <6 = 180
<6 = 180 - 60
<6 = 120
<2 and <6 are corresponding angles and are therefore equal.
<2 = 120
Generally, the more someone exercises the less they will weigh (while also maintaining a proper diet). John recorded the number of calories he burned and his weight each week. Using a regression model, how much would you expect John to weigh at the end of week 8? (Round your answer to the nearest tenth.)
Need help on the problem and confused on whether or not to use two regression functions.
Answer:
on week 8 he will weight 208 lbs
Step-by-step explanation:
i dont know I guessed and got it right
John weigh 217.7 lbs at the end of 8 week.
What is Regression line?An estimate of the line that depicts the actual, but unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.
Given:
Using the regression model
In II nd week the calories is 2950 and weight 250.
and, Vth week the calories is 7400 and weight 216.
let Exercise be x and the weight is y then
= (216 - 250)/ (7400- 2950)
= -9/ 4450
So, at the start of week john weight
y= -9/ 4500 x + 230
Now, At the end of 8 week John weighs
= -9/4500 (6100) + 230
= 217.7
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Describe what is being done in each step while solving the equation. Match each step with the correct description. HINT: Start with “Original Equation” as the first step.
Someone plz help me I will give brainliest
Answer:
I think it is D
Step-by-step explanation:
One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?
Answer:
Each shelter would get 121 blankets
And there would be 5 blankets left over
Step-by-step explanation:
One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?
From the above question
7 local shelters = 852 blankets
1 local shelters = x blankets
Cross Multiply.
7x = 852 blankets
x = 852 blankets/7
x = 121 5/7 blankets
Therefore, Each shelter would get 121 blankets
And there would be 5 blankets left over
PROBABILTIES 20 POINTS!!!!
Answer:
WHat do you want me to slove?
Step-by-step explanation:
Answer:
u only gave 10
Step-by-step explanation:
Angles A and Care supplementary. Find the measure of angle C.
There is a picture
Answer:
106 degrees
Step-by-step explanation:
180 -74 = 106
The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
What are supplementary angles?Two angles are said to be supplementary angles when they add up to 180 degrees.
Two angles are supplementary, if
a). one of its angle is an acute angle and another angle is an obtuse angle.
b). both of the angles are right angles.
This means that if A and B are the two angles then
[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees
According to the given question we have
angles A and C are supplementary
and, [tex]m[/tex]∠A = 74 degrees
therefore,
the measure of angle C is calculated as
[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees (sum of the supplementary angles)
74 + [tex]m[/tex]∠C = 180 degrees ( [tex]m[/tex]∠A = 74 )
[tex]m[/tex]∠C = (180 - 74)degrees ( subtracting 74 degrees both the sides)
[tex]m[/tex]∠C = 106 degrees
Hence, second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
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please help
thank u!
2x-10>-14
Pls help ASAP pls
Answer:
the answer should be x>-2
Answer:
download photo math
Step-by-step explanation:
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3 glasses and 3 mugs costs £18.
6 glasses and 4 mugs costs £32.
Find the cost of a glass.
Find the cost of a mug.
Glass: £
Mug: £
Step-by-step explanation:
Suppose the cost of one glass is x
The cost of one mug is y
according to question
[tex]\Rightarrow 3x+3y=18\quad \ldots(i)\\\\\Rightarrow 6x+4y=32\quad \ldots(ii)[/tex]
Solving [tex](i)\ \&\ (ii)[/tex] we get
[tex]\Rightarrow x=4\ \text{and}\ y=2[/tex]
So, the cost of each glass is £4
and cost of each mug is £2
Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?
A)liz
B)Rick
this is Compare rates: word problems please show and explain the work show WORK