Answer:
20 sides.
Step-by-step explanation:
The exterior angle = 180 - 162 = 18 degrees.
Since the sum of the exterior angles = 360 degrees the number of sides
= 360 / 18
= 20 sides.
Which binomial is a factor of 49x2 + 84xy + 36y2?
A. 7x+ 6y
B. x-6y C. X+ 6y
D. 7x- by
Answer:
A. 7x + 6y
Step-by-step explanation:
49x² + 84xy + 36y²
Factoring the perfect square:
(7x + 6y)²
7x + 6y is a factor.
Final answer:
The correct binomial factor of the quadratic expression [tex]49x^2 + 84xy + 36y^2 \ is \ 7x + 6y[/tex], which corresponds to option A.
Explanation:
To determine which binomial is a factor of the quadratic expression [tex]49x^2 + 84xy + 36y^2,[/tex]we can try to factor the expression by grouping or using the factoring technique of a perfect square trinomial. On inspection, we see that 49, 84, and 36 are all multiples of 7, and also the expression resembles the square of a binomial.
The given expression can be written as:
[tex](7x)^2 + 2(7x)(6y) + (6y)^2[/tex]
This is the expanded form of the square of a binomial:
[tex](7x + 6y)^2 = 49x^2 + 84xy + 36y^2[/tex]
Hence, the factored form of the given expression is [tex](7x + 6y)^2[/tex], which means that 7x + 6y is indeed a factor. So, the correct answer is option A.
josh's grandfather gave him one penny on the day he was born. he plans to double the amount he gives Josh every day. estimate how much Josh will recieve from his grandfather on the 15th day.
Answer: 32767 pennies
Please Help
A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth
The equation of the line is [tex]y=-\frac{3}{4}x+\frac{1}{4}[/tex]
Step-by-step explanation:
The equation of a line can be written using the following form
[tex]y-y_0 = m(x-x_0)[/tex]
where
m is the slope of the line
[tex](x_0,y_0)[/tex] are the coordinates of a point lying on the line
For the line in this problem, we know that:
[tex]m=-\frac{3}{4}[/tex] is the slope
[tex](x_0,y_0)=(-5,4)[/tex] are the coordinates of the point
Therefore, substituting into the equation,
[tex]y-4=-\frac{3}{4}(x-(-5))[/tex]
And re-arranging the equation we get:
[tex]y-4=-\frac{3}{4}(x+5)\\y-4=-\frac{3}{4}x-\frac{15}{4}\\y=-\frac{3}{4}x+(4-\frac{15}{4})\\y=-\frac{3}{4}x+\frac{1}{4}[/tex]
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A line passes through the points (8, –1) and (–4, 2). A coordinate plane. What is the y-intercept of this line?
-4
-1
1
4
Answer:
y-intercept is 1
Step-by-step explanation:
We need to find the equation of the line first.
GradientThe gradient is found using the formula:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{-1-2}{8--4}[/tex]
[tex]m=-\frac{1}{4}[/tex]
So the equation is y = [tex]-\frac{1}{4}[/tex]x + c
Finding cTo find c we need to substitute the value of x and y into the equation:
-1 = [tex]-\frac{8}{4}[/tex] + c
-1 = -2 + c
1 = c
And c is the y-intercept so it is 1
Answer:
y- intercept = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (8, - 1) and (x₂, y₂ ) = (- 4, 2)
m = [tex]\frac{2+1}{-4-8}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex], thus
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, - 1), then
- 1 = - 2 + c ⇒ - 1 + 2 = 1 ← y- intercept
I need help it with this it also has three parts to it. Wayne another painter is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint
1.How much red paint does he use?
2. How much blue paint does he use?
3. What percentage of the brown paint is made from blue paint?
Answer:
a) 1 quart
b) 2 quarts
c) 33.33 % of the brown paint is made of blue paint
Step-by-step explanation:
6 quarts brown paint = 1/2 of yellow paint and 1/2 violet paint
violet paint = 1/3 red paint 2/3 blue paint
then
6 quarts brown paint = 1/2 of yellow paint and 1/2 (1/3 red paint and 2/3 blue paint)
or
6 quarts brown paint = 1/2 of yellow paint , (1/2*1/3) red paint and (1/2*2/3) blue paint
6 quarts brown paint = 1/2 of yellow paint , 1/6 red paint and 1/3 blue paint
then
a) he uses 1/6 of 6 quarts to make red paint = 1/6*6 = 1 quart
b) he uses 1/3 of 6 quarts to make red paint = 1/3*6 = 2 quarts
c) brown paint is made with 1/3 of blue paint = 33.33 % of the brown paint is made of blue paint
What is the slope of the line that passes through the points (3,3) and (-3,-1).
Answer:
2/3
Step-by-step explanation:
-1 - 3 = - 4
-3 - 3 = - 6
-4/-6 = 2/3
[tex]\text{Use the slope formula:}\\\\\frac{y2-y1}{x2-x1}\\\\\text{Plug in your coordinates:}\\\\\frac{-1-3}{-3-3}\\\\\text{Solve:}\\\\\frac{-1-3}{-6}\\\\\frac{-4}{-6}\\\\\boxed{\frac{4}{6}}[/tex]
I Need Help With This Question!
I Need To Draw A Plot Line
Answer:
A line plot graph will show the repetition or frequency of information or value in a number line.
This line plot graph can be used to compare numbers over a certain limit. It is a simple and quick way to order data.
Steps to draw plot graph:-
Write the number sequence in ascending order. Mark the distinct numbers in the sequence.Draw a line and mark points with that distinct numbers. Now look at the sequence and check with the diagram. When a number in the sequence matches the number in the diagram. Then mark a point above that line corresponding to that value.Ascending order: [tex]1\frac{1}{2}, 2\frac{1}{2} ,2\frac{3}{4} ,3,3\frac{1}{2}, 3\frac{3}{4}.\\[/tex]
refer the diagram below for the answer.
Bonnie has to maintaining an average of 90 in all of her classes to have an A average . In math , she has scored 93,70,99 and 95 on the first four tests . What must she score on the last test to have an average 90 ?
Answer:trey wey ery day
Step-by-step explanation:
Answer:it’s 93 that’s all that matters
Step-by-step explanation:
Casey has a collection of 39 amusement park pins. The pins are from an amusement park in Florida and an amusement park in Virginia. There are twice as many pins from the amusement park in Florida. How many pins are from the amusement park in Virginia?
Answer:
13 pins
Step-by-step explanation:
2x=Florida
x=Virginia
39=2x+x
39=3x
÷3 ÷3
13=x
26 pins are from city V.
Let,
x = number of pins from city F.
y = number of pins from city V.
According to the question:
[tex]x+y=39\\y = 2x[/tex]
Solving them, [tex]x = 13, y=26[/tex]
So 26 pins are from city V.
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To the nearest millimeter, a cell phone is 82 mm long and 36 mm wide. What is the ratio of the width to the length?
Please I need the answer
Step-by-step explanation:
Given,
The length of a cell phone(l) = 82 mm and
The width of a cell phone(b) = 36 mm
Find, the ratio of the width to the length of a cell phone = ?
∴ The ratio of the width to the length of a cell phone
= 36 mm : 82 mm
= 36 : 82
Divided by 2, we get
= [tex]\dfrac{36}{2}[/tex] : [tex]\dfrac{82}{2}[/tex]
= 18 : 41
Thus, the ratio of the width to the length of a cell phone is 18 : 41.
The store offers a 20% discount. If the regular price of an item is x dollars, what is the discount price in dollars?
Answer:
3.28
Step-by-step explanation:
You want to find the discount price. Set a relation to where the well i cant really explain it but do 20/100 = x/16.40 because 100% of the price is 16.40 dollars. You want to find 20% of that so you find what you multiply to 100 to get 16.40 which is 6.0975. Then you do the same thing for the 20% to find 20% of the price which is 3.28. sorry im trash at explaining but i hope i helped.
Answer:
3.28
Step-by-step explanation:
im pretty darn sure this is right lol
45 %of population of a town is female . what's the population of male if total population is 54320
Answer:29876
Step-by-step explanation:
Entire population is 100%
Male is 100%-45%
55%x54320=29876
Answer:
29,876 males
Step-by-step explanation:
If 45% of 54320 population is female. The population of male is calculated below.
The total population is 100% and female is 45%. Thus: 100% - 45% = 55%.
Percentage of male population is 55%. Hence, 55% of 54320 is calculated thus:
[tex] \frac{55}{100} \times 54320[/tex]
[tex] = 0.55 \times 54320[/tex]
[tex] = 29876[/tex]
Therefore, population of male if total population is 54320 is 29,876.
Check,
Female population percentage + male population percentage:
45% + 55% = 100%
24,444 + 29,876 = 54,320
Madison is riding her horse around the outside of a circular arena.she knows 14 laps is 1/2 a mile what is the diameter of the arena
Answer:
The diameter of the arena is 18.3 meters.
Step-by-step explanation:
As, 14 laps = [tex]\frac{1}{2}[/tex] mile
so, 1 lap = [tex]\frac{1}{28}[/tex] mile ( ∵14 × 2 = 28)
For the horse completing one lap it completes the perimeter of the circle.
perimeter (P) = [tex]\frac{1}{28}[/tex] mile
let diameter of that circle be represented as d,
P= [tex]\pi[/tex] × d
or, [tex]\frac{1}{28}[/tex] = [tex]\pi[/tex] × d
or, d= [tex]\frac{1}{28\pi }[/tex]
∴ d= 18.3 meters.
The diameter of the arena is 18.3 meters.
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
3 x + 13 y = 14. 6 x + 11 y = negative 2.
4 x + 5 y = 12. 8 x + 3 y = negative 4.
5 x + 4 y = 12. 7 x + 8 y = 12.
10 x + 3 y = 8. 17 x + 6 y = 10.
Answer:
[tex]3x+13y=14\\\\6x+11y=-2[/tex]
Step-by-step explanation:
We have to check [tex](-4,2)[/tex] satisfies which system.
First System:
[tex]3x+13y=14\\\\6x+11y=-2\\\\Substitute\ (-4,2)\ in\ the\ equations\\\\3\times (-4)+13\times (2)=14\\\\-12+26=14\\\\14=14\\\\6\times (-4)+11\times (2)=-2\\\\-24+22=-2\\\\-2=-2\\\\(-4,2) \ satisfies\ this\ system\ of\ equation.\ Hence\ (-4,2)\ is\ the\ solution\ of\ this\ system.[/tex]
Second System:
[tex]4x+5y=12\\\\8x+3y=-4\\\\Substitute\ (-4,2)\\\\4\times (-4)+5\times (2)=-6\\\\-6\not=12\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]
Third System:
[tex]5x+4y=12\\\\7x+8y=12\\\\Substitute\ (-4,2)\\\\5\times (-4)+4\times (2)=-12\\\\-12\not =12\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]
Fourth System:
[tex]10x+3y=8\\\\17x+6y=10\\\\Substitute\ (-4,2)\\\\10\times (-4)+3\times (2)=-34\\\\-34\not =8\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]
Answer:
3x+13y=14\\\\6x+11y=-2
Step-by-step explanation:
what is the value of 1-2/3*4+5=
Find the quotient 7/8 divided 3/8
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
7/8 x 8/3 = ?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
7 x 8
8x3
56/24
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 56 and 24 using
GCF(56,24) = 8
56/8 = 7
24/8 = 3
The fraction 7/3 is the same as 7 divided by 3
Convert to a mixed number using long division for 7 ÷ 3 = 2R1, so
Therefore:
7/3 = 2 1/3
2 1/3
The required quotient is 7/3 when 7/8 is divided by 3/8.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
The division operation is given in the question following as:
⇒ 7/8 ÷ 3/8
We have to determine the quotient when 7/8 is divided by 3/8
As per the given question, we have
⇒ 7/8 ÷ 3/8
⇒ (7/8) / (3/8)
Reciprocal the terms in the numerator, and we get
⇒ (7/8) × (8/3)
Apply the multiplication operation,
⇒ 56/24
Reduce the above fraction to the simplest form
⇒ 7/3
Therefore, the required quotient is 7/3 when 7/8 is divided by 3/8.
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A rocket is travelling at a speed of 21,000 miles per hour (mph). Use the fact that 1 km is approximately equal to 0.6214 miles to convert this speed to kilmeters per hour (km/h
Answer:
33,793.2 Kilometers per hour :3
Speed of rocket in kilometer in 13,049.4 miles
Speed in miles:Given that;
Speed of rocket = 21,000 miles per hour
Miles in 1 kilometer = 0.6214 miles
Find:
Speed of rocket in kilometer
Computation:
Speed of rocket in kilometer = Speed of rocket × Miles in 1 kilometer
Speed of rocket in kilometer = 21,000 × 0.6214
Speed of rocket in kilometer = 13,049.4 miles
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Explain how to use the distributive property to find an
expression that is equivalent to 20 + 16.
Answer:
4(5+4)
Step-by-step explanation:
Answer:
Sample Response: First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).
Step-by-step explanation:
How do you explain 87% of 55?
What is the measure of angle X? 56° 41°
Question:
What is the measure of angle X?
The image of the measurements is attached below:
Answer:
The measure of angle x is 83°
Explanation:
Since, Vertical angles have equal measure,
Let us consider that the angle opposite to 41° is ∠y and they are equal.
i.e, ∠y = 41°
Since, the angles in a straight line add up to 180°, we have,
∠x + ∠y + 56° = 180°
Substituting the value ∠y = 41°, we have,
∠x + 41° + 56° = 180°
Adding the terms, we get,
∠x + 97° = 180°
Subtracting both sides by 97°, we get,
∠x = 83°
Thus, the measure of ∠x is 83°
Answer:
83 degrees
Step-by-step explanation:
I took the test
there were 20 members in thr running club in september. the membership increased to 25 in october. the membership decreased back to 20 in november. what was the percent decrease from october to november?
There was a decrease of 20% in membership from October to November.
Step-by-step explanation:
Step 1; To find the percent by which the running clubs membership decreased we must find the difference between the number of members in October and the number of members in November. The number of members in the club in October was 25 whereas it reduced to 20 in the month of November.
Difference in members = Number of members in October -Number of members in November = 25 - 20 = 5
Step 2; To find the percent decrease in number of members in the running club, we divide the difference in number of members by the number of members in November . We multiply this value by 100 to get it in terms of percentage.
Percent decrease in number of members =(Difference in members / number of members in November) *100
= (5/25) * 100 = 0.20 * 100 = 20%
So number of members in the club decreased by 20% from October to November.
11. In 2007, the United States Mint
began circulating $1 coins with past
Presidents of the United States on
them. New $1 coins for 4 Presidents
are released each year. How many
years will it take for $1 coins to be
released for the first 36 Presidents?
Write a number sentence to
Answer:
if $1 coin is for 4 presidents ,then
the number of years it will take to release the the 36 first presidents is given by[tex]\frac{36}{4}=9 years[/tex]
Step-by-step explanation:
step 1: you lay down preliminaries
step 2: you divide 36 presidents by 4 presidents per year, the result is the number of years it will take to publish the first 36 presidents.
Find the total surface area for the figure to the nearest tenth
65.3 m^2
104.6 m^2
98.2 m^2
94.4 m^2
The answer is D. 94.4^2
((Hopefully I helped))
Simplify =(3-2)x+2y+2
Answer:
x + 2y + 2
Step-by-step explanation:
1. Simplify 3 − 2 to 1
1 · x + 2y + 2
2. Simplify 1 · x to x
x + 2y + 2
Please do 24 26 28 30
Answer:
its increasing by 2,u can think of it as taking away the 2 in the ones place and skip counting by 2 like your in the ones place
100 POINTS!!!
1) What is the sum of the linear expressions?
3x + 9 and 2x + 4
2) Add the linear expressions:
2n + 6 and 6n - 2
3) Add the linear expressions. -3x + 9 and 6x - 12
4) Add the linear expressions: 1/4x + 10 and 1/2x - 7
5) Find the difference: (3x + 5) - (2x +2)
6) Subtract 8 from 10
7) Subtract 2.5x from 7.8x.
8) Subtract (3.4x + 8) from (5.8x + 10)
9) Find the difference: (8x + 5) - (2x + 8)
10) Evaluate & explain how you arrived at your answer: (-4x -3) - (-4x -3)
Answer & Step-by-step explanation:
[tex]1)\\(3x+9)+(2x+4)\qquad\text{combine like terms}\\\\=(3x+2x)+(9+4)\\\\=\boxed{5x+13}\\\\===========================[/tex]
[tex]2)\\(2n+6)+(6n-2)\qquad\text{combine like terms}\\\\=(2n+6n)+(6-2)\\\\=\boxed{8n+4}\\\\===========================[/tex]
[tex]3)\\(-3x+9)+(6x-12)\qquad\text{combine like terms}\\\\=(-3x+6x)+(9-12)\\\\=\boxed{3x-3}\\\\===========================[/tex]
[tex]4)\\\left(\dfrac{1}{4}x+10\right)+\left(\dfrac{1}{2}x-7\right)\qquad\text{combine like terms}\\\\=\left(\dfrac{1}{4}x+\dfrac{1}{2}x\right)+(10-7)\\\\=\left(\dfrac{1}{4}x+\dfrac{1\cdot2}{2\cdot2}x\right)+3\\\\=\left(\dfrac{1}{4}x+\dfrac{2}{4}x\right)+3\\\\=\boxed{\dfrac{3}{4}x+3}\\\\===========================[/tex]
[tex]5)\\(3x+5)-(2x+2)\\\\=3x+5-2x-2\qquad\text{combine like terms}\\\\=(3x+2x)+(5-2)\\\\=\boxed{5x+3}\\\\===========================[/tex]
[tex]6)\\10-8=\boxed{2}\\\\===========================[/tex]
[tex]7)\\7.8x-2.5x=\boxed{6.3x}\\\\===========================[/tex]
[tex]8)\\(5.8x+10)-(3.4x+8)\\\\=5.8x+10-3.4x-8\qquad\text{combine like terms}\\\\=(5.8x-3.4x)+(10-8)\\\\=\boxed{2.4x+2}\\\\===========================[/tex]
[tex]9)\\(8x-2)-(2x+8)\\\\=8x-2-2x-8\qquad\text{combine like terms}\\\\=(8x-2x)+(-2-8)\\\\=\boxed{6x-10}\\\\===========================[/tex]
[tex]10)\\(-4x-3)-(-4x-3)\\\\=-4x-3-(-4x)-(-3)\\\\=-4x-3+4x+3\qquad\text{combine like terms}\\\\=(-4x+4x)+(-3+3)\\\\=0+0\\\\=\boxed{0}\\\\\text{You could do it shorter.}\\\text{The result will be 0 because we subtract}\\\text{ the same expressions from each other.}[/tex]
To add or subtract linear expressions, combine like terms. For example, to add 3x + 9 and 2x + 4, you combine the x terms and the constant terms separately to get 5x + 13. The same method is applied to the rest of the problems, resulting in simplified linear expressions.
Adding and Subtracting Linear Expressions:
To add or subtract linear expressions, you combine like terms, which are terms that have the same variables raised to the same power. Let's go through the problems one by one:
Sum of 3x + 9 and 2x + 4: (3x + 2x) + (9 + 4) = 5x + 13.
Add 2n + 6 and 6n - 2: (2n + 6n) + (6 - 2) = 8n + 4.
Add -3x + 9 and 6x - 12: (-3x + 6x) + (9 - 12) = 3x - 3.
Add 1/4x + 10 and 1/2x - 7: (1/4x + 1/2x) + (10 - 7) = 3/4x + 3.
Find the difference: (3x + 5) - (2x +2) = (3x - 2x) + (5 - 2) = x + 3.
Subtract 8 from 10: 10 - 8 = 2.
Subtract 2.5x from 7.8x: 7.8x - 2.5x = 5.3x.
Subtract (3.4x + 8) from (5.8x + 10): (5.8x - 3.4x) + (10 - 8) = 2.4x + 2.
Find the difference: (8x + 5) - (2x + 8) = (8x - 2x) + (5 - 8) = 6x - 3.
Evaluate (-4x -3) - (-4x -3): (-4x + 4x) - (-3 + 3) = 0x + 0 = 0.
These are the simplified forms of the linear expressions after combining like terms.
What is -3(y+3)=9x in slope-intercept form?
Answer:
Y= -3x - 3
Step-by-step explanation:
-3*y= -3y
-3*3= -9
-3y - 9= 9x
-3y= 9x + 9
(9x +9)/-3
y= -3x - 3
Cesar is 35 years old. He has $870 in a checking account, $2900 in a savings
account, $13,000 in a retirement account, and owns a car worth $5900. What
is the total value of his liquid assets?
A. $3270
O B. $18,900
O c. $22,170
O D. $2900
please help
Answer:
A. $3770
Step-by-step explanation:
The correct answer must be $3770 (not $3270), checking accounts and savings accounts are liquid assets. However, cars are not liquid assets because liquid assets are things that can be quickly turned into cash without losing much if any of their inherent value. In this case, the retirement account is not a liquid asset as it is designed to hold your money until retirement age, and given that Cesar is 35 years old so he has not reached retirement age.
Answer:
the answer is a 3770.
Step-by-step explanation:
Which of the following has a solution set of {x | x = 0}?
(x + 1 < -1) ∩ (x + 1 < 1)
(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)
(x + 1 < 1) ∩ (x + 1 > 1)
Answer:
(b) (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = {x | x = 0}
Step-by-step explanation:
Here, the given expression is : {x | x = 0}
So, the ONLY element in the given set = {0}
Now, take each option and solve the given expression:
(a) x + 1 < -1
Adding -1 BOTH sides, we get:
x + 1 -1 < -1 -1
or, x < - 2 ⇒ x = { -∞ , .... , -4,-3}
Also, x + 1 < 1
Adding -1 BOTH sides, we get:
x + 1 -1 < 1 -1
or, x <0 ⇒ x = { -∞ , .... , -4,-3,-2,-1}
So, (x + 1 < -1) ∩ (x + 1 < 1) = { -∞ , .... , -4,-3}∩ { -∞ , .... , -4,-3,-2,-1}
= { -∞ , .... , -4,-3}
⇒ (x + 1 < -1) ∩ (x + 1 < 1) ≠ {0}
Similarly, solving
(b) (x + 1 ≤ 1) ∩ (x + 1 ≥ 1)
(x + 1 ≤ 1) = x≤ 0 = { -∞ , .... , -4,-3,-2,-1, 0}
(x + 1 ≥ 1) = x ≥ 0 = {0,1,2,3,... ∞}
⇒ (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = {0}
(b)(x + 1 < 1) ∩ (x + 1 > 1)
(x + 1 < 1) = x < 0 = { -∞ , .... , -4,-3,-2,-1}
(x + 1 > 1) = x > 0 = { 1,2,3,... ∞}
⇒ (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = Ф
Hence, (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = {x | x = 0}
(x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = {x | x = 0}
What is the volume, in cubic inches, of the baseball ?
Answer:
The volume of a baseball is about 13.39 cubic inches.
Step-by-step explanation: