Answer:
7:07
Step-by-step explanation:
he started at 7:07 because if you take away 5 minutes from 8:12 you get 8:07 and we all know 60 minutes is an hour so 8:07 minus an hour is 7:07 hope this helps
What is the x in 4x+20?
Answer:
the answer is 5 because if you divide it its your answer
Answer:
x=-5
Step-by-step explanation:
Set " 4x+20" equal to 0 (4x+20=0)
Do the opposite operation of 20 (in this case is subtraction) and subtract 20 from both sides (4x+20-20=0-20).
You'll be left with 4x=-20.
Divide both sides by 4 (4x/4=-20/4).
4 divided 4 equals x.
-20 divided by 4 equals -5.
x=-5.
Hope this was helpful.
The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-3. It goes through the point (5,256)
Answer:
P(x) = ([tex]\frac{2}{5}[/tex])x(x + 3)(x - 1)²
Step-by-step explanation:
Given - The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-3. It goes through the point (5,256)
To find - Formula for P(x) ?
Proof -
Given that,
P(x) has a root of multiplicity 2 at x=1
So,
(x - 1)² is a factor.
Now,
Given that, there is roots of multiplicity 1 at x=0 and x=-3
So,
(x - 0) and ( x - (-3) are also factor
So,
P(x) can be written as
P(x) = Ax(x + 3)(x - 1)² .........(1)
where A is a constant.
Now,
Given that, It goes through the point (5,256)
⇒At x = 5, P(x) = 256
So,
Put the values of x and P(x) in equation (1), we get
P(x) = Ax(x + 3)(x - 1)²
⇒256 = A(5)(5 + 3)(5 - 1)²
⇒256 = 5A(8)(4)²
⇒256 = 40A(16)
⇒256 = 640 A
⇒A = [tex]\frac{256}{640}[/tex] = [tex]\frac{2}{5}[/tex]
∴ we get
P(x) = ([tex]\frac{2}{5}[/tex])x(x + 3)(x - 1)²
Let A, B and C represent distinct non-zero digits. Suppose x is the sum ofall possible 3-digit numbers formed by A, B and C without repetition.Consider the following statements1. The 4-digit least value of x is 1332.2. The 3-digit greatest value of x is 888.Which of the above statements islare correct?
Statement 1 is correct and Statement 2 is not correct.
As A, B and C represent distinct non-zero digits
For least value of x
Let A=1, B=2, C=3
The possible numbers that can be formed using 1,2,3 are 6 {using permutations}
123, 132, 213, 312, 231, 321
x is the sum of all possible 3-digit numbers formed by A, B and C without repetition so
x= 123+ 132+ 213+ 312+ 231+ 321
x=1332
So statement 1 is correct
statement 2 cannot be correct as least value of x is 4-digit so greatest value of x cannot be a three digit number.
The 4-digit least value of x is 1332 so Statement 1 is correct and Statement cannot be correct.
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Determine and state an equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12)
The equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12) is y = 4x/5 + 8.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
The line 5x-4y=10.
Simplifying,
y = (-5/4)x + 5/2
Comparing with the slope-intercept form,
y = mx + b,
where m is the slope and b is y-intercept.
The slope is = -5/4
The slope of the perpendicular line,
= negative reciprocal of the slope of the line where the line is perpendicular.
= 4/5
So, the line:
If a line passes through one point (x₁ ,y₁) and have slope m,
then the equation of line is
y - y₁ = m (x - x₁)
y - 12 = (4/5)(x-5)
y = 4x/5 + 8
Therefore, the equation of the line is y = 4x/5 + 8
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what is 37 and 4/8 rounded to the nearest whole number
Answer:
38
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
Ricardo's town recently voted on a new education funding package. Of the voters who voted for the bill, 20% voted for it. What fraction of the voters voted in favor of the measure?
Enter the fraction in simplest form.
The fraction of the voters who voted in favor of the measure will be 1/5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Ricardo's town recently voted on a new education funding package. Of the voters who voted for the bill, 20% voted for it.
The fraction of the voters who voted in favor of the measure will be given as,
⇒ 20%
⇒ 20 / 100
⇒ 1 / 5
The fraction of the voters who voted in favor of the measure will be 1/5.
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For every 150 dogs, there are 300 cats. write this ratio in simples form in all three ways.
Answer:
Step-by-step explanation:
150 : 300
In simplest form
1 : 2
In fraction form
1/2
In decimal form
0.5
Answer:
1:2 1/2 1÷2
Step-by-step explanation:
divide both of them by 150. You get 1:2, which can be converted to 1/2 and 1÷2
Math please help!!!!!!
Answer:
12?
Step-by-step explanation:
PLZZZ HELPPP ILL GIVE BRAINLIEST
Answer:
45
Step-by-step explanation:
when a = 6 , b =2
2a^2/ b^3 + b(2a+6)
=2(6)^2/ (2)^3 +(2)[2(6)+6)
=45
g(x)=\sqrt{x} -5
what is the range and domain
Answer:
Function Domain and Range
g(x)=\sqrt{x} -5
what is the range and domain
To find the range of g(x), we can substitute a few values of x into the expression for g(x) to see what the output is. For example, when x = 0, g(x) = sqrt(0) - 5 = 0 - 5 = -5. When x = 1, g(x) = sqrt(1) - 5 = 1 - 5 = -4. When x = 2, g(x) = sqrt(2) - 5 = 1.4142 - 5 = -3.5858.
As we can see, the output of g(x) is always a negative number for any value of x in the domain. Therefore, the range of g(x) is the set of all negative real numbers, or (-infinity, 0).
So, the domain of g(x) is all real numbers x such that x >= 0, and the range of g(x) is all negative real numbers (-infinity, 0).
can someone help me plssss. ill give u extra points like 50
PLEASE HELP I AM DESPERATE!
Question is in the picture please help!!!
Answer:
(a) (5, 9)
Step-by-step explanation:
You want the solution to the system ...
x = 5y = 2x -1SolutionThe value of x is already given, so no work is required to find that.
The value of y is found by using that value of x in the equation for y:
y = 2x -1
y = 2·5 -1 = 10 -1 = 9
The solution is (x, y) = (5, 9).
HELP ASAP
The quadrilateral below is a trapezoid
Answer:
Step-by-step explanation:
9x+2+5x-4=180
14x-2=180
14x=80+2
x=182/14
x=13
angle B=5x-4
=5*13-4
=65-6
=61
Complete each nuclear fission reaction. 235 92 u 1 0 n → 90 36 kr a 56 ba 3 1 0 n a: 239 94 pu 1 0 n → b c ba 91 38 sr 3 1 0 n b: c:
a: 235 92 U + 1 0 n → 90 36 Kr + 141 56 Ba + 3 1 0 n
b: 239 94 Pu + 1 0 n → 96 38 Sr + 143 55 Ba + 3 1 0 n
c: It is not possible to complete this nuclear fission reaction as it is not a valid input. There is no nuclide with the atomic number 94 and mass number 239.
What is nuclear fission?Nuclear reactions are those that involve the nucleus of an atom. Nuclear fission involves the splitting of an atomic nucleus and the formation of two distinct atomic species.
Nuclear fission is a nuclear reaction in which the nucleus of an atom is split into two or more smaller nuclei, along with the release of a large amount of energy. In the first reaction, an atom of Uranium-235 (U-235) is hit by a neutron, which causes the nucleus to split into Krypton-90 (Kr-90) and Barium-141 (Ba-141) along with 3 neutrons. In the second reaction, an atom of Plutonium-239 (Pu-239) is hit by a neutron, which causes the nucleus to split into Strontium-96 (Sr-96) and Barium-143 (Ba-143) along with 3 neutrons.
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What is the value of -36 - (-40)
0-76
076
O 4
0-4
Answer:
4
Step-by-step explanation:
→ –36 – ( –40 )
Whenever there is sign of subtraction before the brackets, signs of the numbers inside the brackets get changed when we removed the brackets.( – ) × ( – ) = ( + )→ –36 + 40
→ 4
[tex] \therefore [/tex] 4 is the required answer.
How do you find the height of an acute triangle?
The height of an acute triangle can be calculated using the Pythagorean Theorem. The formula for this theorem is a2 + b2 = c2, where a and b are the two legs of a right triangle and c is the hypotenuse.
To find the height of an acute triangle, we must first identify the two legs of the triangle. The length of the two legs can be determined by measuring the lengths of the three sides of the triangle. Once we have the lengths of the two legs, we can apply the Pythagorean Theorem to calculate the length of the hypotenuse.
Once the length of the hypotenuse is determined, we can use the formula h2 = c2 - a2 - b2 to calculate the height of the triangle. This formula states that the square of the height of the triangle is equal to the square of the hypotenuse minus the square of the two legs. So, to find the height of an acute triangle, we first measure the lengths of the three sides, then use the Pythagorean Theorem to calculate the hypotenuse, and finally use the formula h2 = c2 - a2 - b2 to calculate the height of the triangle.The height of an acute triangle can be calculated using the Pythagorean Theorem. The formula for this theorem is a2 + b2 = c2, where a and b are the two legs of a right triangle and c is the hypotenuse. To find the height of an acute triangle, we must first identify the two legs of the triangle. The length of the two legs can be determined by measuring the lengths of the three sides of the triangle. Once we have the lengths of the two legs, we can apply the Pythagorean Theorem to calculate the length of the hypotenuse.
Once the length of the hypotenuse is determined, we can use the formula h2 = c2 - a2 - b2 to calculate the height of the triangle. This formula states that the square of the height of the triangle is equal to the square of the hypotenuse minus the square of the two legs. So, to find the height of an acute triangle, we first measure the lengths of the three sides, then use the Pythagorean Theorem to calculate the hypotenuse, and finally use the formula h2 = c2 - a2 - b2 to calculate the height of the triangle.
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True or False: The point (0, 3) lies on the x-axis.
Answer:
false
Step-by-step explanation:
(x,y)
if the first cord is 0 its on y
is the second cord is 0 its on x
Answer: True
Since the x-coordinate being 0, the point lies on the y-axis. The y-coordinate =+3 being positive, the point lies on the +ve y-axis.
Step-by-step explanation: Hope this help :D
Hannah either walks or cycles to school. The probability that she walks to school is 0.75 If she walks, the probability that she is late is 0.6 If she cycles, the probability that she is late is 0.2 Work out the probability that on any one day Hannah will not be late for school.
If Hanna is walking there is a 0.4 chance of not being late. 0.75 x 0.4 = 0.3 probability of not being late.
If Hanna cycles there is a chance of 0.8 of not being late. 0.6 x 0.8 = 0.48.
0.48 + 0.3 = 0.78.
In other words, there is a 78% probability of her not being late.
The scatter plot shows the number of strawbernes that have been picked on the farm during the month of February.
Part A Using computer software, a correlation coefficient of 0. 01 was calculated Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)
Part B. Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm (5 points)
There is a relationship between the numbers of strawberries gathered and the amount of rainfall that can be found in a model (function).
What is a Scatter Plot?A scatter plot with a trendline along which the data points are situated can be used to demonstrate the relationship between correlated variables.
Indicating a positive correlation is when the trendline slopes higher from left to right, while the opposite is true.
Part A:
The correlation coefficient of r = 0.1 is valid based on the provided scatter plot.
Part B:
The independent variable (the explanatory variable) is the cause of the dependent variable in a causal connection.
As a result, you need to identify a plausible factor that can influence the number of strawberries collected.
The week before harvest, I could picture how much it would rain.
Hence, There is a relationship between the number of strawberries gathered and the amount of rainfall that can be found in a model (function).
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Given square ABCD, what is the length of AD?
Is 12 16 20 a right triangle?
No, 12 16 20 is not a right triangle. In order to be a right triangle, one side must be the same as the square root of the sum of the squares of the other two sides. In this case, the hypotenuse (side 20) is not equal to the square root of 12^2 + 16^2 which is 20.
No, 12 16 20 is not a right triangle. To determine whether or not something is a right triangle, we need to use the Pythagorean Theorem. This theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is side 20, and the other two sides are 12 and 16. When we calculate the square root of 12^2 + 16^2, we get 20, which does not match the length of the hypotenuse. Therefore, 12 16 20 is not a right triangle.
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What are the different types of algorithms?
Different types of algorithms are:
Brute Force algorithm Greedy algorithmRecursive algorithmBacktracking algorithmWhat is Brute Force algorithm?As a very general approach to problem solving and an algorithmic paradigm, brute-force search or exhaustive search—also referred to as generate and test—involves iteratively listing all potential candidates for the solution and determining whether each one satisfies the problem's statement.
A brute-force algorithm would count all integers from 1 to n and determine whether each one divides n without a remainder in order to find the divisors of a natural number n.
For the eight queens puzzle, a brute force method would look at all possible configurations of 8 pieces on the 64-square chessboard and determine whether each queen piece could engage in mutually exclusive attacks for each configuration.
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Solve for h.
h/ 6 - 1 = 3 h =
mother spent 1/3 of her money on a silver chain and 1/6 of the remainder on a bottle of perfume. She gave her daughter $60.00 and had $155 left.
what fraction of money did mother spend on the bottle of perfume?
how much money did mother spend on the silver chain?
Step-by-step explanation:
215÷3=71
143÷6=23.9
71+23.9+60=154.9
the ratio of red to grern to blue sweets in a packet is 2:3:1. if there are 18 green sweets, how many blue sweets are there??
1. What is the sum of the interior angles of a quadrilateral?
Answer:
360 degrees
Step-by-step explanation:
Answer:
360°
Step-by-step explanation:
The sum of the interior angles of any quadrilateral is 360°
What is the distance between the points (3,7) and (-2, 10)
Answer:
√34
Step-by-step explanation:
To find the distance between two points, you can use the distance formula, which is:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
We can plug in the points (3, 7) and (-2, 10) to get:
d = √[(-2 - 3)^2 + (10 - 7)^2]
We can simplify.
d = √[(-5)^2 + (3)^2]
d = √(25 + 9)
d = √(34)
d = √34
8. Given DF bisects LEDF, find n and then find FG. The diagram is not drawn to scale.
2 points
Show your work to find FG
Show your work to find n
GIVING 20 POINTS!!
The measure of length of FG is 105 units.
What is bisection?
To determine the roots of a polynomial problem, utilise the bisection method. It splits and separates the interval in which the equation's root is located. The continuous functions intermediate theorem serves as the method's guiding premise.
From the given diagram, since Line DF bisects angle EDG, then -
EF = FG
Given the following parameters -
EF = 9n - 3
FG = 8n + 9
Equating both expressions -
9n - 3 = 8n + 9
9n - 8n = 9 + 3
n = 12
Get the measure of FG -
FG = 8n + 9
FG = 8(12) + 9
FG = 96 + 9
FG = 105
Hence, the line FG measures as 105 units.
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A football team consists of 20 each freshmen and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that
On solving the provided question, we can say that Probability ( At least one of the students is a senior) = 0.4632 approx
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
P(All four players are senior) = 0.00033 approx
P(There is one each: freshman, sophomore, junior and senior) = 0.0944 approx.
P(There are 2 sophomores and 2 freshman) = 0.0568 approx
P( At least one of the students is a senior) = 0.4632 approx
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Math
A 6. 0 kg bowling ball traveling at 2 m/s strikes a 1. 5 kg bowling pin. Describe and compare the forces that act on the bowling ball and the bowling pin
during the collision.
By using formula and solving, Force of impact (pin) = Change in momentum (pin) / Time of collision = 12 kg*m/s / t
What is collision?A collision is an event in which two or more objects come into contact with each other. In physics, a collision is defined as a rapid and forceful interaction between two or more objects that causes a transfer of energy. Collisions can be elastic or inelastic, depending on whether or not the total kinetic energy of the objects is conserved.
What is force?Force is a physical quantity that describes the interaction between two or more objects. It is a vector quantity, meaning it has both magnitude and direction. Forces can cause an object to accelerate, change its shape, or change its direction of motion. Forces can be categorized into different types, such as contact forces, which act when two objects are in contact, and non-contact forces, which act at a distance. Some examples of non-contact forces are gravitational force, electric force, and magnetic force.
To calculate the force of impact on the bowling ball and bowling pin during the collision, you can use the formula:
Force of Impact = Change in momentum / Time of collision
The change in momentum is given by the formula:
Change in momentum = Final momentum - Initial momentum
The initial momentum of the 6 kg bowling ball traveling at 2 m/s is:
Initial momentum (ball) = 6 kg * 2 m/s = 12 kg*m/s
The final momentum of the bowling ball can be calculated using the conservation of momentum principle, which states that the total momentum of the system remains constant before and after the collision. In this case, since the bowling pin is moving after the collision and the bowling ball is not, the final momentum of the bowling ball is zero.
Final momentum (ball) = 0
Change in momentum (ball) = Final momentum (ball) - Initial momentum (ball) = 0 - 12 kgm/s = -12 kgm/s
The force of impact on the bowling ball is:Force of impact (ball) = Change in momentum (ball) / Time of collision = -12 kg*m/s / t (t is the time of collision, assuming it's a short time)
Similarly, the initial momentum of the 1.5 kg bowling pin at rest is:
Initial momentum (pin) = 1.5 kg * 0 m/s = 0 kg*m/s
The final momentum of the bowling pin can be calculated using the conservation of momentum principle, which states that the total momentum of the system remains constant before and after the collision.
Final momentum (pin) = Initial momentum (ball) = 12 kg*m/s
Change in momentum (pin) = Final momentum (pin) - Initial momentum (pin) = 12 kgm/s - 0 kgm/s = 12 kg*m/s
The force of impact on the bowling pin is:
Force of impact (pin) = Change in momentum (pin) / Time of collision = 12 kg*m/s / t
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