Answer:
5%
Step-by-step explanation:
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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Maddie received a new iPhone for Christmas. There is no activation fee to use Apple Music but there is a $4.99 per month charge. How many months would Maddie have been a member it she spent $34.93%
Answer:
7 months
Step-by-step explanation:
Spotify is better
Have a great day
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
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).
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
sandy had 10 dolls in her collection.for her birthday her parents quadrupled (multiplied by 4) how many dolls she had.then she decided to share the dolls equally with her brother.
Which numerical expressions show the total number of dolls Sandy has after sharing with her brother?
Answer:
4multiply by 10 lolllllllll
Answer:
20 each
Step-by-step explanation:
10 x 4 = 40 40 - 20 = 20
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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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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What are the potential solutions of In(x^2-25)=0?
Answer:
[tex] x =\pm \sqrt{26}[/tex]
Step-by-step explanation:
Given :-
ln ( x² - 25 ) = 0And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,
Equation :-
[tex]\implies log_e {(x^2-25)}= 0 [/tex]
In general :-
If we have a logarithmic equation as ,[tex]\implies log_a b = c [/tex]
Then this can be written as ,
[tex]\implies a^c = b [/tex]
In a similar way we can write the given equation as ,
[tex]\implies e^0 = x^2 - 25 [/tex]
Now also we know that [tex]a^0 = 1[/tex] Therefore , the equation becomes ,[tex]\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}[/tex]
Hence the Solution of the given equation is ±√26.
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).
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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A right cylinder has a radius of 12 units and a height of 15 units. What is the total surface area, in units squared?
Answer:
2034.72 units²
Step-by-step explanation:
Formula for surface area of a cylinder is:
2πrh + 2πr²
The radius is 12 and the height is 15, so we plug it in:
2π(12·15) + 2π(12)²
2π(12·15) + 2π(12)²=2034.72.
Cameron's scout leader organized a contest to see who could build the strongest boat out of aluminum foil. After building their boats, the scouts measured how many pennies the boats could support before sinking. This box plot shows the results.
Answer:
1/4
Step-by-step explanation:
In a box plot, each whisker represents
1
4
of the data. So,
1
4
of the boats could support 12 or more pennies.
The pennies can be added to the boat before it sinks is 10.
What is volume?Volume is a degree of occupied three-dimensional area. its miles are regularly quantified numerically with the use of SI-derived devices or with the aid of various imperial devices. The definition of the period is interrelated with the extent.
here, we have,
Density is the substance's mass according to a unit of volume. The image most customarily used for density is ρ, even though the Latin letter D also can be used. Mathematically, density is described as mass divided with the aid of the extent
Mass of aluminum boat = 16.5 gram
Volume = 425 cm³
Density = mass/ volume
= 16.5/425
= 0.039 gcm⁻³
The density of water and boat must be equal or more in order of sinks.
The density of water = 1 gcm⁻³
1 gcm⁻³ = mass × 0.039
mass = 1/ 0.039
mass = 25.64 g
A total of 25.64 grams of mass can be added.
mass of each penny = 2.5 g
Therefore the total number of pennies that can be added is = 25.64 /2.5
= 10.256
Taking the whole number = 10 pennies can be added o the boat before it sinks
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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.
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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Please help
What is the tangent
Answer:
D.) 12/5
Step-by-step explanation:
tangent is opposite over the adjacent side so the opposite of x is 24 and the adjacent is 10 so 24/10 divided by 2 gets you 12/5
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??
Find the missing term in the arithmetic sequence −14, _, _, 46
Help please radicals
Answer:
5√2
Step-by-step explanation:
Hello!
To simplify the radical, we can identify perfect square factors in the radicand or the number inside the square root.
We know that 50 is 25 times 2, so we can expand the radical like this...
[tex]\sqrt{50[/tex][tex]\sqrt{25*2}[/tex][tex]\sqrt{25} * \sqrt2[/tex]Now we can simplify each radical:
[tex]\sqrt{25} * \sqrt2[/tex][tex]5\sqrt2[/tex]The simplified form is 5√2.
can someone help me plssss. ill give u extra points like 50
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
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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(ANYONE? PLS, HELP I NEED THE ANSWER RIGHT NOW!)
A rental store at the beach has 56 umbrellas and 24 surfboards. Which ratio describes the relationship of surfboards to umbrellas?
A: 56:24
B: 7:3
C: 3:8
D: 3:7
b because you are dividing
Answer: D (3:7)
Step-by-step explanation:
You need to simplify the 56:24 until fully simplified (using the highest common factor). Flip this so it is instead surfboards to umbrellas rather than umbrellas to surfboards.
56/8 = 7
24/8 = 3
Lemon quah ha 2 part of concentrate to 5 part of water, if you put 90ml of concentrate in a gla, how much water hould be added?
Based on the 2:5 quantity of concentrate and water, the amount of water required for 90 mililitres will be 225 mililitres of water.
Firstly we will be creating the ratio for the mentioned information. It will be as follows-
Amount of concentrate/Amount of water
The proportion will be -
2/5 = 90/Concentration of water
Concentration of water = 90×5/2
Now perform multiplication in numerator on Right Hand Side of the equation
Concentration of water = 450/2
Then work out the division on Right Hand Side of the equation
Concentration of water = 225 mililitres
Thus, the required amount of water is 225 mililitres.
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I need help with this. Khan academy
Answer:
[tex]11\pi[/tex]
Step-by-step explanation:
[tex]s = r \times theta[/tex]
where r is the radius.
The radius is 11 and theta(in radians) is pi so
[tex]s = 11\pi[/tex]
Solve for h.
h/ 6 - 1 = 3 h =
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°
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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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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Math please help!!!!!!
Answer:
12?
Step-by-step explanation: