Answer: Prime factorization: 23 is prime. The exponent of prime number 23 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 23 has exactly 2 factors.
Step-by-step explanation: Hopefully this helped!
The prime factorization of 23 is 23 × 1. It is already in its simplest form and cannot be expressed as a product of smaller prime factors.
To determine the prime factorization of a number, we check if it is divisible by prime numbers starting from 2. If it is divisible, we continue dividing until we reach the smallest prime factors. However, in the case of 23, it is not divisible by any number other than 1 and 23.
⇒ 23 × 1
The prime factorization of 23 is simply 23 itself. A prime number is a number that is only divisible by 1 and itself, and 23 satisfies this condition. It cannot be further broken down into smaller prime factors.
Therefore, the prime factorization of 23 is 23.
Learn more about Prime Factorization here:
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a lacrosse ball has 200 j of kinetic energy . how much kinetic energy does it have if it is thrown 3 times faster? how much more will it hurt if that ball hit you
Answer:When you change the position and speed of the ball in the carnival
game, you transfer energy to the ball. Energy is the ability of a person
or an object to do work or to cause a change. When you do work on an
object, some of your energy is transferred to the object. You can think
of work as the transfer of energy. In fact, both work and energy are
measured in the same unit, the joule.
The man in the photograph above converts one form of energy
into another form when he uses his muscles to toss the ball. You can
think of the man and the ball as a system, or a group of objects that
affect one another. Energy can be transferred from the man to the
ball, but the total amount of energy in the system does not change
Step-by-step explanation:
Solve for u. 31.25 = u/5
Answer:
u = 156.25
Step-by-step explanation:
Step 1: Write equation
31.25 = u/5
Step 2: Solve for u
Multiply both sides by 5: 156.25 = uRewrite: u = 156.25Step 3: Check
Plug in u to verify it's a solution.
31.25 = 156.25/5
31.25 = 31.25
Answer:
156.25
Step-by-step explanation:
if you multiply 31.25 times 5 you get 156.25
Consider the linear second-order differential equation:
d^2y/ dx^2 + a1(x)dy/dx +ao(x)y(x)=0
Note that this equation is linear because y(x) and its derivatives appear only to the first power and there are no cross terms. It does not have constant coefficients, however, and there is no general, simple method for solving it like there is if the coefficients were constants. In fact, each equation of this type must be treated more or less individually. Nevertheless, because it is linear, we must have that if y1(x) and y2(x) are any two solutions, then a linear combination.
y(x)=c1y1(x)+c2y2(x) where c1 and c2 are constants, is also a solution. Prove that y(x) is a solution.
Answer:
✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅
✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅
✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅cffffffffffffffffccc✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅
Step-by-step explanation:
which expression is equivalent 2 x (3 x 5)
what are the answer choices?
Compute (11011011.101 + 101010.11) * 11.1
Answer:
the answer is 123,343,435.4421
An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time t = 0.
(a) Express the distance s (in miles) between the plane and the radar station as a function of the horizontal distance d (in miles) that the plane has flown.
s(d) =
(b) Express d as a function of the time t (in hours) that the plane has flown.
d(t) =
(c) Use composition to express s as a function of t.
s(t) =
Answer:
a)[tex]s=\sqrt{1+d^2}[/tex]
b)d(t)=500t
c)[tex]s(t) =\sqrt{1+250000t^2}[/tex]
Step-by-step explanation:
d = Horizontal distance
s = the distance between the plane and the radar station
The horizontal distance (d), the one mile altitude, and s form a right triangle.
So, use Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]s^2=1^2+d^2[/tex]
a) [tex]s=\sqrt{1+d^2}[/tex]
(b) Express d as a function of the time t (in hours) that the plane has flown.
[tex]distance = speed \times time[/tex]
d(t)=500t
(c) Use composition to express s as a function of t.
[tex]s(t) =\sqrt{1+d^2}[/tex]
using b
[tex]s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}[/tex]
After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. About how long is the pole?
a) 11.0 ft.
b) 12.2 ft.
c) 16.7 ft.
d) 20.5 ft.
9514 1404 393
Answer:
b) 12.2 ft
Step-by-step explanation:
Based on the attached and the answer choices, it looks like we're to assume the pole is leaning away from the sun. Of course, we must assume the angle the pole makes with the ground and the angle of elevation are in the same plane.
The problem can be solved using the law of sines. In the attached, we have ...
AD/sin(O) = OA/sin(D)
The angle at D is 180° -45° -75° = 60°, so this can be written as ...
AD = sin(45°)(15 ft)/sin(60°)
AD ≈ 12.247 ft
The pole is about 12.2 feet long.
Find the remainder when 6a3 - 2a2 + 7a – 12 is divided by – 4 + 3a
Answer:
remainder = 8
answer is: 2a^(2) + 2a + 5 remainder 8
Step-by-step explanation:
-1/7*-4/-8*5 multiply
Answer:
-10/7
Step-by-step explanation:
-1/7*-4/-8*5
-1/-28/-40
x^-1 = 1/x
-1/-28/-40 = -1/28/40 = -(28/40)^-1
-40/28
-10/7
A structural steel fabricator cuts 25 pieces each 16.2 centimeters long from a 6.35-meter length
of channel iron. Allowing 4 millimeters waste for each piece, find the length in meters of
channel iron left after all 25 pieces have been cut.
Answer: 2.2 meters
Step-by-step explanation:
The data is:
The initial piece is 6.35 meters long.
We cut 25 pieces of 16.2cm each, so in pieces only we have:
25*16.2cm = 405cm
1m = 100cm
Then: 405cm = (405/100) m = 4.05m
And each time that we cut a piece, we have 4mm of waste.
Then we have 25 times the 4mm of waste, this means that the total waste is:
4mm*25 = 100mm
and 1000mm = 1m
100mm = (100/1000) m = 0.1m
So the total amount that was cut is:
4.05m + 0.1m = 4.15m
The length in the channel iron will be: 6.35m - 4.15m = 2.2 meters
The Minnesota Multiphase Personality Inventory (MMPI) is one of the most frequently used personality tests in psychology. The current standardized version, the MMPI-2, is used by trained professionals to assist in identifying personality structure and psychopathology. A forensic psychologist is interested in whether she can identify potential serial killers by their NMPI profiles. She is particularly interested in the Overcontrolled-Hostility and Defensiveness scales of the MMPI. She interviews 12 people who have already been identified as serial killers. Their scores on the Overcontrolled-Hostility scale are recorded here: Which of the following is a Possible value for the range?
a. 54
b. 22
c. 66
d. 79
Their scores on the Defensiveness scale are given here: Which of the following is a possible value for the range?
a. 33
b. 70
c. 53
d. 62
Answer:
1) A. 54
2) D. 62
Step-by-step explanation:
Find the complete question in the attached diagram.
Range is the difference between the highest score and the lowest score.
Given the following scores on the Overcontrolled-Hostility scale.
69, 84, 56, 89, 47, 63, 86, 58, 74, 35, 71, 60
From the data:
Highest score = 89
Lowest score = 35
Range = Highest score - Lowest score
Range = 89-35
Range = 54
Hence the possible value of the range is 54
For the scores on the Defensiveness scale given as:
38, 70, 35, 42, 26, 87, 74, 61, 69, 46, 63, 25
Highest score = 87
Lowest score = 25
Range = Highest score - Lowest score
Range = 87-25
Range = 62
Hence the possible value of the range is 62
Find the measure of each marked angle.
(9x-27)
(4x)
Answer:
(9×-27)
= (243×4)
= 972
Blank divided by 5 = 9
Answer:45
Step-by-step explanation:
9×5=45
Determine the number of triangles ABC possible with the given parts.
b = 24, c = 29, B = 43°
9514 1404 393
Answer:
2
Step-by-step explanation:
In general, if the given angle is opposite the shorter of the two given sides, there will be 0 or 2 possible triangles. The attachments show the two possibilities.
__
There will be zero possible triangles if the ratio of sides is less than the sine of the angle. Here, 24/29 ≈ 0.8276, sin(43°) ≈ 0.6820. The ratio of sides is greater, so there are two possible triangles.
If the given angle is opposite the longer of the two given sides, there is one possible triangle. The same is true if the given angle is between the two given sides.
ITS EASY BUT I DIDNT STUDY - PLZ HELP
Answer:
B
The answer is b im doing a type limit.
An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units.
What is the perpendicular height of the prism?
2 units
4 units
6 units
8 units
Answer:
6
Step-by-step explanation:
the volume of a prism is always the base times the height this can be written as V = bh
we know the volume is 144 and the base is 24
substitute this into your equation: 144 = 24h
divide both sides by 24 to find h
144 ÷ 24 = 6
so you get h = 6
Assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.
Perpendicular height of the prismUsing this formula
Volume of prism=Base area ×Height
Hence:
144=24×h
h=144/24
h=6 units
Therefore, assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.
Learn more about Perpendicular height of the prism here:https://brainly.com/question/10166088
Twelve external data storage units can hold 16.8
million bytes of data. How many bytes will 20
external data storage drives hold?
YOur math teacher gives you a worksheet that has 20 problems. She tells you choose 3/4 of the problems can you skip? If you get one third of the assigned problems done in class, how many problems do you have for homework?
Answer:
Step-by-step explanation:
mholwalker16
The ratio of the measures of the angles of a triangle is 6:2:7. Find the measure of the largest angle.
Answer:
Step-by-step explanation:
6x + 2x + 7x = 180 Every triangle has a measure of 180o
15x = 180 Divide by 15
x = 180/15
x = 12
The longest side will be 7x
7*12 = 84
A bus travelling at a steady speed takes 2and half hours for a certain journey how long will a car take if it travels at three times the speed of the bus
Answer:
50 Minutes
Step-by-step explanation:
Complete the long division problem on your own sheet of paper. Then, fill in the digits 5 divied by 680
Answer:
3,400
Step-by-step explanation:
5 divided by 680 equals 3,400.
Answer:
the answer would be 136 hope this helps
Step-by-step explanation:
The room numbers of two adjacent classrooms are two consecutive even numbers. If their sum is 438, find the classroom numbers.
Step-by-step explanation:
218 + 220 = 438. 220 and 218 are consecutive even numbers
como se representan los lugares importantes
Los lugares importantes están protegidos para mantener sus significados naturales y culturales. Son reconocidos por tener un valor importante y cifras probatorias históricas. ... Puede ser importante debido a vínculos religiosos y culturales o eventos históricos que pueden haber ocurrido en el pasado cerca del lugar.
What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6)?
A. y = 0.25 x + 3
B. y = 0.25 x - 4.5
C. y = 4x + 18
D. y = 4x - 42
PLEASE HELP
Answer:
A
Step-by-step explanation:
Slope intercept form is y = mx + b
First find the slope or m with this equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] (plug in) [tex]\frac{6 - 2}{12 + 4}[/tex] = [tex]\frac{4}{16}[/tex]= [tex]\frac{1}{4}[/tex]
So your slope is [tex]\frac{1}{4}[/tex]
To find the y-intercept you use y= mx + b and plug in.
6 = 1/4(12) + b
6 = 3 + b (minus 3 on both sides)
3 = b
so 3 is the y-intercept
So the answer is A.
4 2/3 ÷ 7 to the lowest terms
Answer:
4 2/3 divided by 7. You can do 14/3 by making it an improper fraction. Then you can do 14/3 divided by 7/1.
(LCR) 14/3 * 1/7 = 14/21.
Simplify by 7.
14 divided by 7 is 2.
21 divided by 7 is 3.
The answer is 2/3!
Kevin bought 4/6 pounds of pecans for $50.89. About how much was the cost per pound?
Answer:
$76.33
Step-by-step explanation
1 divided by 4/6 = 3/2 =1.5
50.89 x 1.5 =$76.33
Answer:
$10.00
Step-by-step explanation:
this is the answer!!!!!
10 less than three times a number is 23. Find the number
Answer:
x = 11
Step-by-step explanation:
23 = 3x-10
1. Add 10 to both sides of the equation. -10 plus 10 is equal to zero so it cancels out to nothing, and 23 plus 10 is 33.
2. The new equation is now 33 = 3x.
3. Now you want to divide both sides by 3 to make x by itself since that is what you are trying to solve for.
4. 33/3 is equal to 11 so x = 11.
The value of the unknown number is 11
Inequality is a concept in mathematics that shows the comparison between two non-equal numbers.
From the given information
Let the unknown number be x∴
3x - 10 = 23
Collect like terms
3x = 23 + 10
3x = 33
Divide both sides by 3
[tex]\mathbf{\dfrac{3x}{3}= \dfrac{33}{3}}[/tex]
x = 11
Learn more about inequality here:
https://brainly.com/question/11613554
Evaluate -a (b) (-3) if a= -3 and b= -4
Answer:
12
Step-by-step explanation:
answer: It would be -(-3)-4-3 or 3-4-3=-4
explanation: Hope this helps!
a = 2x + 100, g = 4x + 70, x =
Type of angle pair__ relation__
My child is working with decimals what is the answer to 0.08×10
Answer:
0.8
Step-by-step explanation: