Number between 50 and 80 that has exactly 4 factors one which is 2
Answers
58, 62 and 74 are the numbers between 50 and 80 that has exactly 4 factors with 2 being one of them 4.
As per the question statement, we are required to find out the numbers between 50 and 80 that has exactly 4 factors with 2 being one of the factors.
To solve this question, we need to know that every or any number in the number system as has at least 2 factors: 1 and the number itself.
Since we are to find numbers with exactly 4 factors, 2 being one of the factors and as per the above mentioned concept, two of the remaining three factors will be 1 and the number itself, the fourth factor has to be a prime number as prime numbers have no other factors than 1 and itself.
That is, we will have to find prime numbers (say "n") which when multiplied by 2 lies within the range of 50 and 80,
\(or, 50\leq (n*2) \leq 80\\or, \frac{50}{2}\leq n\leq \frac{80}{2}\\ or, 25\leq n\leq 40\)
That is, we will need to find the prime numbers between 25 and 40; They are 29, 31 and 37.
Hence, our required numbers are [(29 * 2) = 58], [(31 * 2) = 62] and
[(37 * 2) = 74]. They lie between 50 and 80 that has exactly 4 factors with 2 being one of them.
Factors: In mathematics, a factor "x" of a number, say "y" is such a number that, "y" when divided by "x", the division leaves no remainder.Prime Numbers: Any number greater than 1, that has only two factors, 1 and the number itself is known as a prime number.To learn more about Factors, click on the link below.
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Related Questions
Find the general solution of (2x² + y)dx + (x²y - x)dy = 0
Answers
Multiply the original DE by xy:
xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)
Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes
x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0
This final equation is easily recognized as separable:
dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides
I need help and the answer is?
Answers
Answer:
0.002
Step-by-step explanation:
The first number is repeating; the second is not. This will cause the first 2 to disappear but the rest will remain.
0.022222.. - 0.02 = 0.0022222..
please help me solve this
Answers
Step-by-step explanation:
what "normal" trigonometric function did this remind us of ?
it starts at "high" for x = 0.
"high" signs mean "1" for the standard functions.
the trigonometric function that starts with 1 at x = 0 is cosine.
so, this is a cosine function that we need to scale properly.
original value : 1
graph : 15
original value : -1
graph : 12
original value : 0
graph : (15+12)/2 = 27/2 = 13.5
so, we need to add this to the cosine function result.
the distance from the 0 level (13.5) to high or low is 1.5 (instead of originally 1).
Du, we need to stretch the cosine function result to go from -1.5 to +1.5 (12 to 15).
and for the x-axis :
12 hours = 180° or pi (the interval for cosine to go from +1 to -1).
1 hour = 180/12 = 15° or pi/12.
so, for cosine to react to the hour value as for the curdling degrees we need to multiply x by 180/12 or by pi/12.
so, our temperature function temp(x) is then
temp(x) = 1.5×cos(x×180/12) + 13.5
or
temp(x) = 1.5×cos(x×pi/12) + 13.5
Let f(x) = 2x-1 and g(x) = x2 - 1. Find (f o g)(-7).
Answers
Answer: (f o g)(-7) = 95
Step by step solution:
We have the two functions:
\(\begin{gathered} f(x)=2x-1 \\ g(x)=x^2-1 \end{gathered}\)We need to find (f o g)(-7) or f(g(-7)), first we evaluate g(-7):
\((f\circ g)(-7)=f(g(-7))\)\(g(-7)=-7^2-1=49-1=48\)Now we evaluate f(48):
\(f(48)=2\cdot48-1=96-1=95\)HELP ASAP;The tree diagram represents an
experiment consisting of two trials.
Answers
Answer:
P(A) = 0.5
Step-by-step explanation:
Look from the tree root (left) and find A.
When you reach the first branch that shows A, the probability is on it's left, so
P(A) = 0.5
Answer the time one I will mark u brainlist
Answers
A new protein power company claims that the mean time to observe a 10% increase in muscle strength is 7 days with a standard deviation of 5.5 days. A random sample of 25 customers attempted to try this new protein powder. The mean time to find a 10% increase in muscle strength was found to be 9 days. Which of the following statistical test will you use for hypothesis testing? Independent t-test Dependent t-test One sample Z-test ANOVA
Answers
Here, we must use one sample z test for the first question.
Since the population standard deviation is known in this instance. According to the new protein powder firm, it takes an average of 7 days to add 10% more muscle, with a population standard variation of 5.5 days.
Here, keep in mind that the t test should be used if the population standard deviations are unknown and the z test should be used if the population standard deviations are known.
The second question requires that we test the hypothesis to determine whether the MoCA test differs between the days before and after several exposures to a new tool.
Here, a z-test with two samples was utilized. Once the hypothesis has been stated, the z Statistic
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write with fractional exponents. (Do not use parentheses.)
Answers
Answer:
4\(y^{\frac{3}{2} }\)
Step-by-step explanation:
using the rule of exponents/ radicals
\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)
then
4 \(\sqrt{y^{3} }\)
= 4\(y^{\frac{3}{2} }\)
I need the answer ASAP
1. In the figure, x is an exterior angle to the triangle below.
(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m
Answers
Answer:
109 is the correct answer of this question
Which of the following is a true statement?The area under the standard normal curve between 0 and 2 is twice the area between 0 and 1.The area under the standard normal curve between 0 and 2 is half the area between -2 and 2.For the standard normal curve, the IQR is approximately 3.For the standard normal curve, the area to the left of 0.1 is the same as the area to the right of 0.9.
Answers
For the standard normal curve, the area to the left of 0.1 is the same as the area to the right of 0.9 is true . So, the correct answer is D.
The standard normal curve is a normal distribution with a mean of 0 and a standard deviation of 1. This curve is often used in statistics to model natural phenomena, and it has many important properties.
Option A is incorrect because the area under the standard normal curve between 0 and 2 is not twice the area between 0 and 1. The area under the curve increases as we move away from the mean, so the area between 0 and 2 will be greater than the area between 0 and 1.
Option B is also incorrect because the area under the standard normal curve between 0 and 2 is not half the area between -2 and 2. The area between -2 and 2 covers more of the curve than the area between 0 and 2, so the area between 0 and 2 will be smaller than half the area between -2 and 2.
Option C is incorrect because the standard normal curve does not have a fixed IQR (interquartile range). The IQR depends on the quartiles of the distribution, which can vary depending on the sample size and the distribution's shape.
Option D is the correct answer because the standard normal curve is symmetric around the mean of 0. This means that the area to the left of any point on the curve is the same as the area to the right of its negative counterpart. Therefore, the area to the left of 0.1 is equal to the area to the right of 0.9.
Therefore, Correct option is D.
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Write the first five terms of the arithmetic sequence with the first term a1=3 and the common difference, d=7
Answers
First five terms of the arithmetic sequence with the first term a₁=3 and the common difference, d =7 in series are: 3 ,10 ,17 ,24 ,30,....
What is arithmetic progression (A.P)?A series of numbers is called an "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. A another name for it is an arithmetic sequence. Every term following the first is derived by adding a constant number, known as the common difference, in an arithmetic progression (d). The nth term of an arithmetic progression must thus be found. The term "arithmetic progression," or A.P. is a mathematical sequence where the gap between the two next terms is a constant. The fundamental difference is referred to as the constant.
Here the first term a = 3 and common difference d = 7.
Now a(n) =a + (n−1)d
a₁ = a = 3
a₂ = a+d = 3 + 7 = 10
a₃ =a + 2d = 3 + 2 × 7 = 17
a₄ =a + 3d = 3 + 3 ×7 = 24
a₅ =a + 4d = 3 + 4 × 7 = 30
First five terms in series are: 3 ,10 ,17 ,24 ,30,....
Thus, the sum of first five terms = 3 + 10 + 17 + 24 + 30 = 84
Hence, First five terms in series are: 3 ,10 ,17 ,24 ,30,....
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Find The nth Term of this number sequence
18, 16, 14, 12
Answers
a = 18
d = 16 - 18 = - 2
an = a + (n - 1) × d
an = 18 + (n - 1) × (-2)
an = 18 - 2n + 2
an = -2n + 20
is there estimates that her dinner has 48g of fat in it what percentage of her total daily allowance of fat does her meal contain her total daily allowance of fat is 70 grams
Answers
Answer: The meal contains 68.57% of her daily allowance of fat
Step-by-step explanation:
We know that in the dinner, there is a total of 48g of fat.
We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:
70g = 100%
Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:
48g = X%
Then we have two equations:
48g = X%
70g = 100%
To solve this, we can take the quotient of these two equations to get:
(48g/70g) = (X%/100%)
Now we want to solve this for X%, then we need to isolate X%:
(48g/70g)*100% = X%
68.57% = X%
This means that 48 grams of fat are 68.57% of her daily allowance.
If a0=10 and an+1=-5an then find the value of a4
Answers
The value of a4 would be equal to -666.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that \(a_0=10\) and \(a_n+1=-5a_n\)
This is a recursive formula. So we can simply substitute in each value. For instance, a₂
Use the recursive definition repeatedly.
a2 = -5(6) +4 = -26
a3 = -5(-26) +4 = 134
a4 = -5(134) +4 = -666
Therefore, the value of a4 is -666
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Factor. Please show work
Answers
Answer:
Step-by-step explanation:
f(x)=2(2x+3)(x−3)
hope this helps
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Given the side measurements. classify the triangle as acute, right, obtuse, or not a triangle. 11, 4, 16
Answers
Answer: not a triangle
Step-by-step explanation:
If this were to be a triangle, the shorter sides would be 11 and 4 and the longest side would be 16.
First, we should determine if it is a triangle.
Sum of shorter sides = 15 This is less than the longest side, 16, so therefore, it is not a triangle.Given g(x)=c^2-x+3 which is g(a+1) in simplest form
Answers
Answer:
We know that:
\(g(x)=c^2-x+3\)
so:
\(g(a+1)=c^2-(a+1)+3=c^2-a-1+3=\boxed{c^2-a+2}\)
Write each ratio statement as a fraction and reduce to lowest terms.
3 weeks to 10 days
Answers
Step-by-step explanation:
3 weeks=3x7 days
=21 days
3 weeks to 10 days
21/10
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A conveyor belt at a recycling center is 294 feet long. The belt moves 7 feet in 6 seconds. A sorter calculates that it
takes 343 seconds for an object to travel the length of the belt. He places his plastic water bottle at the start of the belt so he can tie
his shoe. He walks to the end of the belt before 343 seconds pass. His bottle is already in the shredder. How many seconds does it
take the water bottle to travel the length of the belt? What is the sorter's error?
Answers
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
What lengths are examples of?When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.
To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:
distance = rate x time
We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:
294 feet = (7 feet/6 seconds) x time
294 feet x 6 seconds = 7 feet x time
1764 seconds = 7 feet x time
time = 1764 seconds / 7 feet
time = 252 seconds
So it takes 252 seconds for the water bottle to travel the length of the belt.
Now let's calculate the sorter's error:
343 seconds - 252 seconds = 91 seconds
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
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Which is the equation of a line that has a slope of 1 and passes through point (5, 3)?
y = -2
y = x + 2
y = x + 3
y=x-5
Answers
Answer:
y = x - 2
Step-by-step explanation:
y = x + b
3 = 5 + b
y = x - 2
We can use the slope intercept form of a line.
y = mx+b where m is the slope and b is the y intercept
y = 1x +b
Substitute the point into the equation
3 = 1*5+b
3 = 5+b
Subtract 5 from each side
3-5 = 5+b-5
-2 =b
y = x-2
What is the median of this data set?
{29, 22, 23, 31, 29, 29, 22, 23}
Answers
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
Hello!
In order to find the median of a dataset, we should first order the numbers in the dataset from least to greatest:
29, 22, 23, 31, 29, 29, 22, 23
The smallest number is 22, then 23, then 29, then 31:
22, 22, 23, 23, 29, 29, 29, 31
How many numbers are in this set? 8. An even number!
So we find the mean of the 2 numbers in the middle (23 & 29)
We add these numbers and then divide by 2 (because we have 2 numbers)
\(\bf{\displaystyle\frac{23+29}{2}}\)
\(\bf{\displaystyle\frac{52}{2}}\)
Which is equal to
\(\boxed{\bigstar{\text{Answer:{\boxed{\boxed{26}}}}}}\)
Hope everything is clear.
Let me know if you have any questions!
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:-)
Where does the 6π belong in the Veen diagram?
Answers
Answer:
D
Step-by-step explanation:
It is irrational because you cant write it as a fraction
use long or synthetic division to find the following quotients
(x^3+2x^2!22x-45)÷(x+5)
Answers
Answer:
\(\boxed{\textsf{ The quotient is $\sf x^2-3x-7$ and the remainder is (-10).}}\)
Step-by-step explanation:
Here we will be using long division method to find the quotient . Here we need to divide (x³+2x²-22x-45) and (x+5) . So lets divide .
x+5) x³+2x²-22x-45 ( x² -3x -7
x³ + 5x²
- -
______________
- 3x²-22x -45
-3x² -15x
+ +
______________
-7x -45
-7x -35
______________
-10
Quotient = x² -3x -7
Remainder = (-10)
★Hence the quotient is x² -3x -7 and the remainder is (-10) .⦁ Simplify: –3|–2| + 4|–5|
show work
Answers
Answer:
-3|-2|+4|-5|=14Step-by-step explanation:
3| -2 =6
4| -5| =20
= -6+20
Simplify -
14
Thank You! I hope I could make your day just a little bit better!
23 points see attachment below
Answers
Answer:
-3
Step-by-step explanation:
The top left box on the x axis is negitive 3
What is the y-intercept of this quadratic function? f(x)= -x^2
Answers
Answer:
x-intercept(s):
( 0 , 0 )
y-intercept(s):
( 0 , 0 )
Step-by-step explanation:
Answer:
(0,0)
Step-by-step explanation:
This has no real starting point. The x-intercept as well as the y-intercept is (0,0).
-X² + 5x - 6 = 2
Using the quadratic formula
Answers
\(-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\\)
↝ Form into \(ax^2+bx+c = 0\) where a > 0 (Optional)
\(x^2-5x+8=0\) ↝ Multiply -1 for both sides.
↝ Then proceed with the Quadratic Formula.
x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula
\(x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\\)
↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.
↝ Solution with Real Numbers System ↝ There are no real solutions.
↝ Solution with Complex Number System ↝
\(x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}\)
Therefore, the answer for Complex Number System is (5±√7i)/2
HELPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
2
35
6
Step-by-step explanation:
14/7=2
5*7=35
42/7=6
5*7=35
42/7=6
so you answers in order is 2,35,6
Factor 36+21. Write your answer in the form a(b+c) where a is the GCF of 36 and 21.
Answers
Answer:
3(12 + 7)
Step-by-step explanation:
To find the GCF of 36 and 21, list out their factors.
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
21: 1, 3, 7, 21
The greatest factor which both numbers share is 3.
Therefore, you can factor 36 + 21 as 3(12 + 7)