Answer:
The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.
Step-by-step explanation:
A composite number is an integer that is not a prime number, that is, a number that can be divided only by one and itself. Let be [tex]n[/tex] the smallest composite number such that there are two positive integers [tex]x[/tex], [tex]y[/tex] such that [tex]x - y = 10[/tex] and [tex]x\cdot y = n[/tex]. [tex]n[/tex] is a positive integer, since both integers are positive. Then, we can use the following formula:
[tex](y+10)\cdot y = n[/tex]
[tex]y^{2}+10\cdot y = n[/tex]
[tex]y^{2}+10\cdot y - n = 0[/tex] (1)
We obtain the roots of this second order polynomial by means of the Quadratic Formula:
[tex]y = \frac{-10\pm \sqrt{10^{2}-4\cdot (1)\cdot (-n)}}{2}[/tex]
[tex]y = -5\pm \sqrt{25+n}[/tex] (2)
Given that [tex]y > 0[/tex], we must observe the following inequation:
[tex]-5\pm \sqrt{25+n}>0[/tex] (3)
[tex]\sqrt{25+n} > 5[/tex]
[tex]25 + n > 25[/tex]
[tex]n > 0[/tex]
Let is find the values of x and y by iterative means:
x = 11, y = 1
[tex](11)\cdot (1) = 11[/tex]
11 is not a composite number, but a prime number.
x = 12, y = 2
[tex](12)\cdot (2) = 24[/tex]
24 is a composite number, which contains the following product of prime numbers:
[tex]2^{3}\cdot 3 = 24[/tex]
The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.
If m∠13=2x-3 and m∠15=71°, find the value of x.
Show work please
Here ∠13 & ∠15 are corresponding angles , so they are equal [ ∠13 = ∠15 ]
As per the question ,
⇒ 2x - 3 = 71°
⇒ 2x = 71 + 3
⇒ 2x = 74
⇒ x = 74 ÷ 2
⇒ x = 37
Hence , x = 37
i need help with this practice problem
Answer:
Step-by-step explanation:
V of a sphere is (4/3)*pi*r³, and because we have 3 scoops
V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³
2 The triangle and the rectangle shown below have equal perimeters. Find the measures of the side lengths of the triangle. (Figures not drawn to scale) 4(x-1) *+8 3x-1 5x +
Answer:
180
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.When side lengths are given, add them together.
Solve for a missing side using the Pythagorean theorem.
If we know side-angle-side information, solve for the missing side using the Law of Cosines.
why functions are multiplied,
Answer:
Dividing two functions works in a similar way.
Step-by-step explanation:
I WILL GIVE BRAINLY
Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)
PLSSSSS SHOW YOUR WORK PLSSS
Answer:
D
Step-by-step explanation:
We will let d represent the amount of dimes Angela has.
Angel has 5 fewer quarters than twice the number of dimes.
Twice the number of dimes will be 2d.
Then, 5 fewer will yield 2d-5.
Therefore, the amount of quarters Angela has is 2d-5.
Then, the total amount of coins (dimes and quarters) together, will be:
[tex]d+(2d-5)[/tex]
The first part is the amount of dimes.
And the second part is, as we determined, the amount of quarters.
Therefore, our answer is D.
Linda put $130 to start a bank account. At the end of each week, Linda goes to the bank and either makes a withdrawal (takes money out) or a deposit (puts money in). The first four weeks of Linda's bank activity are listed. Week 1: withdraws $125 Week 2: deposits $400 • Week 3: withdraws $240 • Week 4: deposits $183 She wants to use the money she has her account to buy a music system worth $575. How much more money does she need? A $218 B. $227 C. $348 $357
Answer:
?
Step-by-step explanation:
Answer:
227
Step-by-step You subtract 130 with 125 which will give you 5 Then you add 400 which is 405 then you subtract 405 by 240 which is 165 and finnaly you add 165 with 183 and get 348. You then take that 348 and subtract it by 575
( 575 - 348 ) and get 227.
Create a system of equations with a solution of (4,1)
Answer:
x + y = 5 (or) xy = 4 (or) x - y = 3
GIVING BRANLIEST!! Write the following in standard form -8.041x10^-6 PLEASE HELPP!!.
Answer: -8.041x10-6= -86.41
Step-by-step explanation:
Answer:
-0.000008041
Step-by-step explanation:
-8.041 * 10^-6
First, convert the negative exponent.
-8.041 * 1/10^6
Then, multiply. (Using a calculator, preferably.)
THe answer is: -0.000008041
NEED HELP!!! ASAP last minute homework
The error is the sign of Inequality.
For Inequality, when the variable has negative coefficient, moving to another side would cause the Inequality symbol/sign to swap.
Therefore, from x>=-3 as it should be x<=-3
Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator
Answer:
9/21 & 7/21
Step-by-step explanation:
Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
What are equivalent fraction?"Equivalent fraction is fraction with different numerator or denominator
that represents the same value or proportion of the whole."
What is common denominator?"Common denominator is the same denominator of all the fraction"
We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator.
As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]
and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]
⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]
⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]
Hence, Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
Learn more about Equivalent fraction and common denominator here
https://brainly.com/question/26277885
#SPJ2
What are the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 witha
center of dilation at the origin?
(-9. ,9
(9, -9)
Answer: -9, 9
Step-by-step explanation:
5. a) Determine the total surface area of
this tent, including the floor, in order to
estimate the amount of canvas needed
to construct it.
b) What is the volume of the tent?
13m
22 mm
13.5 m
3 m
I
4 m
4 m
Unit 6
Step-by-step explanation:
Radius of the conical part = radius of cylindrical part r=
2
3
m
Slant height of the cone l=2.8 m
Height of the cylinder, h=2.1 m
Canvas needed to make the tent = Curved surface area of the conical part + curved surface area of the cylindrical part.
Curved surface area of conical part = πrl=
7
22
×
2
3
×2.8=13.2
Curved surface area of cylindrical part =2πrh=2×
7
22
×
2
3
×2.1=19.8
Total surface area = Curved surface area of conical part + Curved surface area of cylindrical part
=13.2+19.8=33 m
2
Cost of 1 m
2
canvas = Rs. 500
Cost of 33 m
2
canvas =33×500=16500
Therefore, it will cost Rs. 16500 for making such a tent.
What is 56/5 simplest form???
Answer:
9 1/3
Step-by-step explanation:
this is what i think and i hope im right
Answer:
11 1/5
Step-by-step explanation:
You can do 56 divided by 5 to answer this.
56 / 5 = 11 and 1/5
11 1/5
Write 41/10 as a fraction
Answer:
41/10
Step-by-step explanation:
Answer:
Based on what you asked i think the answer would be 4 1/10
Step-by-step explanation:
(02.01)
Solve for x
2/3(x - 2) = 4x (1 point)
Select one
2.
a
5
5
2
с
2.
5
d. 5
Answer:
x=-2/5
Step-by-step explanation:
4=8b what does b equal
Answer:
4 = 8b >> b = 1/2 or 0.5
Step-by-step explanation:
Giving brainlest plz help me fast!!! I know this is physics but its also math (Look its math in science ok)
Interpreting Velocity vs Time Graphs
A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line has 3 straight segments. Line segment A runs from 0 seconds 0 meters per second to 4 seconds 40 meters per second. Then segment B runs to 9 seconds 40 meters per second. Then segment C runs to 10 seconds 10 meters per second.
Use the graph to determine acceleration and velocity.
Which segments show acceleration?
What is the velocity of segment B?
Choices for the first question:
A. A and B
B. A and C
C. B and C
Choices for the second question:
A. 8 m/s
B. 10 m/s
C. 40 m/s
D. - 40 m/s
Answer:
The velocity is being plotted. The velocity value indicates how fast the object is moving.
Step-by-step
C on the first one and C on the second one lol
Give brainlest PLZZZ
Answer:
its b to 9 seconds 40 meters per second
Step-by-step explanation:
the test was right
I need help with both 17 and 18! WILL MARK AS BRANLIEST, PLEASE HELP ASAP!!
Answer:
17. $2194.80; 18. $1147.20
Step-by-step explanation:
I=prt; I = interest, p = principle, r = rate, t = time
plug in and go
17.
I = 1860(.06)3
I = 1860(.18)
I = 334.8
334.8 + 1860 + $2194.80
18.
I = 960(.065)3
I = 960(.195)
I = 187.2
187.2 + 960 = $1147.20
A scale factor of 5 was applied to a triangle. What would be the new length of the height and width of the triangle?
Answer:
haaaahhhhhhhhhaaaaaa
Step-by-step explanation:
Which of the following quadrilaterals are similar?
Answer:
I believe its the last one
Answer:
the last one.
Step-by-step explanation:
What is the domain of the function represented by the graph?
IS THIS A FUNCTION AND WHICH ONE?! VEIW PICTURE
Answer:
A and B are functions but C is not
Step-by-step explanation:
a function has one y value to every x value.
Billy's Bagels sells bagels and sandwiches. The profit on every bagel is $2 and the profit on every sandwich is $3. Billy made a profit of $1,560 last week.
a. Write an equation in a standard form that represents Billy's profits last week, where x is the number of bagels sold and y is the number of sandwiches sold.
b. Change the equation for Billy's profit to slope-intercept form.
c. Write the equation in function notation. HELP!!
Answer:
a. 2x + 3y = 1560
b. y = -2x/3 + 520
c. f(x) = -2x/3 + 520
Step-by-step explanation:
a. We are told that the profit on each Bagel is $2 for x bagels and $3 for each sandwich is $3
for a total of y sandwiches
So we have;
2x + 3y = 1560
b. Slope intercept form is generally
y = mx + b
So we have
3y = -2x + 1560
y = -2x/3 + 520
c. In function notation;
f(x) = -2x/3 + 520
HELP PLEASE!!!!!!!!!!!!
Answer:
y = 3x-5
Step-by-step explanation:
The difference between each y for each change of 1 in x is 3, so it's y-intercept is -5, and its slope is 3.
What are the factors of 10x^3+24x^2+14x
Answer:
2x(x+1)(5x+7)
Step-by-step explanation:
10x^3+24^2+14
2(5x^3+12x+7)
2x(5x^2+12x+7)
2x(x+1)(5x+7)
2x(2x+1)(5x+7)
Q1. The speed limit on a road is 40km/h. A scooter drives 9
kilometers in 15 minutes. Is the scooter breaking the speed limit?
step by step explanation plz
experts please answer this 20 points
Answer:
A,B,E
Step-by-step explanation:
Answer:
5.0
0.9
0.5
Step-by-step explanation:
What is the value of n that would make the following radical expression true?
[tex]\sqrt[n]{1000x^{5} } y^{7} =10xy^{2} \sqrt[n]{x^{2}y }[/tex]
n=?
Answer: 3
Step-by-step explanation:
Answer:
n = 3
Step-by-step explanation:
dont remember exactly how we did it in class but went through this question
The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find the number
Step-by-step explanation:
Let A be the tens digit of the number and B be the ones digit.
We have A + B = 10 and 10A + B - 36 = 10B + A.
=> A + B = 10 and 9A - 36 = 9B
=> A + B = 10 and A - 4 = B
=> A + B = 10 and A - B = 4
Therefore 2A = 10 + 4 = 14,
A = 7 and B = 10 - 7 = 3.
Hence the number is 73.
A person paid 56.50 rupees as zakaat in a year find his saving for the Year
paste the full question man