S=-15
Hope I helped :D
factorise : x^2y^2-16
Answer:
(xy - 4)(xy + 4)
Step-by-step explanation:
x²y² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x²y² - 16
= (xy)² - 4²
= (xy - 4)(xy + 4)
If (1)=3 and f(n)=f(n-1)-1 then find the value of f(6)
Answer:
f(1) = 3
f(n) = f(n-1) - 1
Otherwise,
f(n) = f(1) - (n-1)
=> f(6) = 3 - 5 = -2
Hope this helps!
:)
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.
Answer:
Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.Step-by-step explanation:
Cylinder A
Base Circumference=3 meters
[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]
Height=5 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]
Cylinder A
Base Circumference=5 meters
[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]
Height=3 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]
Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]
Cylinder B has a greater volume.
A number is randomly choose between one and 99. What is the probability that the number is not in multiple of nine
Answer:
8/9
Step-by-step explanation:
The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9
Drag each capacity to match it to an equivalent capacity.
8L
80 mL
0.08 L
800 mL
Capacity
Equivalent Capacity
0.08 L
8,000 mL
0.8 L
80 mL
How many solutions are there to this system of equations?
A) One solution
B)No solution
C)Infinitely many solutions
D)It cannot be determined without solving it.
First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1
Answer:
one
Step-by-step explanation:
2/3=(1/2)/x solve for x
Answer:
x=3/4
Step-by-step explanation:
Look at the picture so you understand how To solve it.
WILL GIVE BRAINLEST!! We roll a fair 6-sided die 5 times. What is the probability that we get an odd number in exactly 4 of the 5 rolls?
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
the right answer is : A
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
im smort
In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g. According to the empirical rule, 68% of all newborn babies in the United States weigh between and .
Answer:
3000 and 4000
95% of all newborn babies in the United States weigh between *2500g and 4500g*
99.7% of all newborn babies in the United States weigh between *2,000g and 5,000g*
Step-by-step explanation:
Using the Empirical Rule, it is found that 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.
What is the Empirical Rule?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean is of 3,500 g with a standard deviation of 500 g, hence:
3500 - 500 = 3,000 g.
3500 + 500 = 4,000 g.
Hence, 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm
Answer:
32
Step-by-step explanation:
add 12 + 6 + 14
−3x+7y=5x+2yminus, 3, x, plus, 7, y, equals, 5, x, plus, 2, y Complete the missing value in the solution to the equation. (−5,(-5,(−5,left parenthesis, minus, 5, comma )))right parenthesis
Answer:
[tex](-5,-8).[/tex]
Step-by-step explanation:
Given the equation
[tex]-3x+7y=5x+2y[/tex]
We need to find the missing value of the coordinate; (-5, __)
First, we collect like terms
[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]
When x=-5
[tex]-8*-5=-5y\\\\40=-5y[/tex]
Dividing both sides by -5
[tex]y=-8[/tex]
The missing value of the coordinate (-5,y) is -8.
Thus, the complete solution to the equation is [tex](-5,-8).[/tex]
Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.
Answer: 49.5 and -0.5
Step-by-step explanation:
a + b =49
a - b = 0.5
a= 49.5
b= -0.5
The two numbers are approximately 24.25 and 24.75.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
Let's call the two numbers x and y.
According to the problem, we have two equations:
x + y = 49 (since their sum is 49)
x - y = 1/2 (since their difference is 1/2)
We can solve this system of equations using the method of substitution.
First, we can rearrange the second equation to solve for one of the variables in terms of the other:
x - y = 1/2
x = y + 1/2
Now we can substitute this expression for x into the first equation:
(y + 1/2) + y = 49
2y + 1/2 = 49
2y = 48.5
y = 24.25
Now we can use this value of y to solve for x:
x = y + 1/2 = 24.25 + 1/2 = 24.75
Therefore, the two numbers are approximately 24.25 and 24.75.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ3
A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?
A bag contains 3 red balls and two blue balls. A ball is taken out random from the bag and then put back. A second ball has been taken out of the bag. What is the probability that: (a) both balls are red, (c)b both balls are the same color, (c) at least one of the balls is red. Answer
Answer:
a . 9/25
b. 13/25
c. 3/5
Step-by-step explanation:
Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls
P(R) = number of red/total number of balls = 3/5
P(B) = number of blue/total number of balls = 2/5
Since the experiment is with replacement, whatever ball picked would be returned
a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25
b. Probability of both balls being same color;
That is : probability of both balls being red or both being blue
Mathematically that would be;
P(R) * P(R) or P(B) * P(B)
whenever we have or in probability, what we do is to add ;
= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25
C. at least one of the balls is red
what this means is that both are red or one of the two is red.
Mathematically;
P(R) * P(R) or P(B) * P(R)
= (3/5 * 3/5) + (3/5 * 2/5)
= 9/25 + 6/25 = 15/25 = 3/5
Please help meeeee
What are the key aspects of the graph of f(x) = x^2-b^2
where b is a real number?
Answer:
the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.
Step-by-step explanation:
Does anyone know this
Answer:
It is A
Step-by-step explanation:
The square route of 174 is 13.190906. Didn't use a calculator.
A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.
In the system of equations, x represents the, _____and y represents the_____.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.
The total cost of 1 car and 1 SUV is $_____.
The total earnings for hour 3 are $______.
Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?
4x + 2y = 84
3x + 5y = 126
Answer:
1. cost of each car
2. cost of each SUV
3. (12,18)
4. $30
5. $132
Step-by-step explanation:
In the system of equations,x represents the cost of each car and y represents the cost of each SUV
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)
The total cost of 1 car and 1 SUV is $30
The total earnings for hour 3 are $132
What is the area of triangle DEF? Triangle D E F has a base of 42 centimeters and a height of 28 centimeters. The other sides have lengths of 35 centimeters.
Answer:
The area of triangle DEF is 588 cm²
Step-by-step explanation:
Given;
triangle DEF with base, b = 42 centimeters
triangle DEF with height, h = 28 centimeters
triangle DEF other side length, L = 35 centimeters
Area of a triangle is half of the product of the triangle base and height.
Represented in formula as;
A = ¹/₂bh
where;
b is the base of the triangle
h is the height of the triangle
A = ¹/₂ x 42 x 28
A = 588 cm²
Therefore the area of triangle DEF is 588 cm²
Answer:
588
Step-by-step explanation:
Identify domain and range of each function.y=3•5^x
Answer:
Domain- {IR} all real numbers or {infinity,infinity}
Range-{0,infinity}
Step-by-step explanation:
plug into calculator
Find the area of the shaded regions:
The pink is the shaded region.
40π
You dont need paper hw since we're in quarantine
Answer:40
Step-by-step explanation:
Suppose the diameter of a circle is 6 units. What is its circumference?
If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.
Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units
number 19 very much need the answer please
Answer:
D not possible.........
who is the best rapper
Answer:
Eminem.
Rakim.
Nas.
Andre 3000.
Lauryn Hill.
Ghostface Killah.
Kendrick Lamar.
Lil Wayne
Step-by-step explanation:
Answer:
Logic
Step-by-step explanation:
A.359.5
B.2,178
C.18.0
Answer:
C, or 18.0
Step-by-step explanation:
The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.
4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)
Answer:
x = -223/11 = -20.273
Step-by-step explanation:
Step 1 : Simplify: 11/5
Step 2: Simplify 33/5
Step 3 :
Adding fractions which have a common denominator
Step 4: Simplify: 1/2
Step 5 : see below
Step 6 : see below
Pulling out like terms/factors
Step 7 : Simplify: 51/2
Step 8: Simplify: 22/5
Step 10: Simplify: 43/10
Step 9 :
Calculating the Least Common Multiple
Step 11 :
Adding fractions which have a common denominator
Done.
Hope this helps.
Which shape is NOTa trapezoid
Answer:
The bottom left
Step-by-step explanation:
it has no pairs of parallel sides
Answer:
Step-by-step explanation:
Trapezoid should have a pair of parallel lines.
Bottom left figures does not have parallel lines. So it is not a trapezoid.
PLEASE HELP I NEED THIS image below
Answer:
64
Step-by-step explanation:
You need to do 4*4*4 to get your answer.
Hope this helps.
Answer:
64
Step-by-step explanation:
Because 4×4 is 16 and 16 ×4 is 64
A brand of uncooked spaghetti comes in a box that is a rectangular prism with the length of 8 inches width of 2 inches and the height of 1 1/2 inches what is the surface area
Answer:
176
Step-by-step explanation:
4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.
The figures were not drawn to scale.
Answer: (25 – π)
