Answer:
3
Step-by-step explanation:
Apositive integer n is called special if n is divisible by 4. n +1 is divisible by 5, and n + 2 is divisible by 6. How many special integers smaller than 1000 are there,
Answer: 17
Hello,
Step-by-step explanation:
n is divisible by 4.
n +1 is divisible by 5
n + 2 is divisible by 6
n <1000
[tex]\left\{\begin{array}{ccc}n&=&4*k_1\\n+1&=&5*k_2\\n+2&=&6*k_3\\\end{array}\right.\\\\4*k_1+1=5k_2\Longrightarrow\ k_2=\dfrac{4k_1+1}{5} \Longrightarrow\ k_1=1+5*t\ , k_2=1+4*t\\\\4*k_1+2=6k_3\Longrightarrow\ k_3=\dfrac{4(1+5t)+2}{6} \Longrightarrow\ k_3=1+\dfrac{10*t}{3} \\\\\Longrightarrow\ t=3z\\k_3=1+10z\\n+2=6(1+10z)\\n=4+60z\\\\1000 < 4+60z \Longrightarrow\ z \leq 16\\[/tex]
There are 17: from 4+0*60=4 to 4+16*60=964.
Answer:
17
Step-by-step explanation:
these positive integers are :
4, 64, 124, 184 ... , 964
964 = 4 + (n-1) (60)
964 = 4 + 60n -60
964 = 60n -56
60n = 1020
n = 1020/60
n = 17
so, the number of special integers smaller than 1000 are = 17
I'm sorry to bother. I really can't understand this and my teacher isn't offering help after school today. Could someone help? I've already done 5-8
Answer:
Step-by-step explanation:
is this involved with the pythagorean angles?\
FIND DB HELP.
ITS GEOMETRY AND IM SO CONFUSED
Step-by-step explanation:
Given,
D = 1/4
B = 2/3
to find the length of DB,
DB = 1/4+2/3
= 11/12
bob rewrite the expression 6-(-8) as 6-(+8). Is he correct or incorrect? Explain how you know.
Answer:
Incorrect
Step-by-step explanation:
When you subtract a negative number it changes it to adding a positive number according to math rules.
6 - (-8) -> 6 + 8
Best of Luck!
Answer:
if Bob rewrite the expression 6-(-8) as 6-(+8) it will be incorrect.
Step-by-step explanation:
If Bob rewrite the expression, 6-(-8) as 6-(+8) he will be incorrect because if he right 6-(-8) as 6-(+8) it will be completely incorrect as if we open the bracket of 6-(-8) it becomes 6+8which is 14 but if we opens open the bracket of 6-(+8) which is -2 and hence simplify will be totally incorrect .Thus,bob should not rewrite the expressions, 6-(-8) as 6-(+8).
I hope this will help you.....please mark my answer as BRAINLIEST if you liked it....How is the solution set of the sentence below described?
x + 5 < 7
{all numbers less than }
{all numbers less than 2}
{all numbers less than 7}
{all numbers less than 12}
none of these
Answer:
{all numbers less than 2}
Step-by-step explanation:
x cannot be greater than 2, because it would go over 7
Answer:
{all numbers less than 2}
Step-by-step explanation:
x can only be 2 or lower to make the sentence true
(f×g) (x)
(4x+8)×(2x-12)
Answer:
[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]
Answer:
\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}
=(4x+8)(2x−12)
=(8x
2
−48x+16x−96)
=(8x
2
−32x−96)
=8(x
2
−4x+12)
cos(-x) = -cosx for all values of x.
True or false?
Given g(x)=-x+2g(x)=−x+2, find g(5)g(5).
Work Shown:
g(x) = -x+2
g(5) = -5+2 ... replace every x with 5
g(5) = -3
Answer:
g(5) = -3
Step-by-step explanation:
given:
[tex]g(x ) = - x + 2g(x) = - x + 2[/tex]
find:
[tex]g(5)[/tex]
replace x with 5
[tex]g(5) = - 5 + 2[/tex]
[tex]g(5) = - 3[/tex]
if angle 4 is 52.7, what are the measures of angles 1,2, and 3?
Answer:
127.352.7127.352.7Step-by-step explanation:
Since we know the angle measure of angle 4, we already know that angle 2 will have the same measure according to do the vertical angle theorem. Now to find angles 1 and 3, we can make an equation and solve for x (supplementary angles).
52.7 + x = 180
x = 127.3
Best of Luck!
which answer shows a reflection across the x -
Answer:
In transformations a reflection across the x axis produces a mirror image.
A farmer is making a circular pen for her pigs. She needs the pen to have a diameter of 26 feet. If fencing costs $32 per foot, which is the closest to the total cost of the fence that the farmer needs to make the pen?
A) $2894.01
B) $ 2765.19
$ 2612.48
D) $ 2578.94
Answer:
C
Step-by-step explanation:
circumference= 2* pie*(26/2)
Answer:
[tex]\boxed {\boxed {\sf C. \$ 2612.48 }}[/tex]
Step-by-step explanation:
We are asked to find the cost of the fence a farmer needs to make a pen.
FeetThe fence is used to make a circle. We want to find the cost, but we first need to find how many feet of fence is needed. Essentially, we have to find the perimeter, but this is called the circumference because it is a circle. The formula for calculating circumference is:
[tex]c= \pi d[/tex]
The diameter (d) of the pen is 26 feet and we can use 3.14 for pi. Substitute these values into the formula.
[tex]c=3.14 * 26 \ ft[/tex]
Multiply.
[tex]c= 81.64 \ ft[/tex]
CostThe farmer needs 81.64 feet of fencing. The cost of fencing is $32 per foot, so we multiply the cost by the feet needed.
[tex]\$32 / ft * 81.64 \ ft[/tex]
The units of feet cancel
[tex]\$ 32 * 81.64[/tex]
[tex]\$2612.48[/tex]
The cost of the fencing is $2612.48 and choice C is correct.
Need help ASAP pls!!!!!!
Square ABCD and isosceles triangle EFG have the same perimeter. Work out the length of FG.
Answer:
8
Step-by-step explanation:
Each face of a cube is a square with a side length of 8 centimeters. What is
the total area of all of the faces of the cube?
Answer:
12
Step-by-step explanation:
the Andrew's going to be 12 because you have to
know all the sides of cube
Find the distance between the points.
(1/2, 2,3), (2, -2)
I NEED HELP ITS DUE TODAY I WILL GIVE BRAINliST PLZz
Answer:
49
Step-by-step explanation:
Can someone match these in order correctly for me? Please do it in text not in images I can't see those as those are blocked for me!
Answers:
2^3 = 83^2 = 93^3 = 274^3 = 645^2 = 258^2 = 64==============================================
Explanation:
The notation 5^2 is the same as writing [tex]5^2[/tex]
The second number is the exponent and it tells us how many copies of the base to multiply together. In the example 5^2, we have two copies of 5 multiplied to get 5^2 = 5*5 = 25
As another example, 4^3 = 4*4*4 = 64. We have three copies of 4 multiplied due to the exponent 3. You can use a calculator for this, but I recommend doing this by hand to get practice.
Note how 4^3 = 64 and 8^2 = 64. So 64 is used twice (which is why we have two tiles labeled "64").
The tiles labeled 9, 12, 10, and 16 are never used since they don't have any matching exponential expression.
find the last two digits of 2^2016
Help please I don’t know it
Answer:
2 2/3
Step-by-step explanation:
They are all getting multiplied by 3/5 and 2 2/3 is the largest of all the numbers. Hope this helps!
describe the following sets in roster form using the indicated letters
[tex]Question \: in \: comments[/tex]
Can someone help me with this question
Answer:
Step-by-step explanation:
I THINK ITS THE 3ED TO THE RIGHT
Answer:
Answer is 6.8.
Hope it helps
The price of a cup of coffee has risen to $2.45 today. Yesterday's price was $2.15. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
14%
Step-by-step explanation:
To find the percentage change of any two amounts you just need this formula: (new - old) ÷ old
New price = $2.45
Old price = $2.15
2.45 = 2.15 = 0.3
0.3 ÷ 2.15 = 0.139534883721
This would make the percentage increase = %13.9534883721
But the question wants it rounded to the near tenth, so it's %14
Answer:
13.9535% increase, so yeah, like, 14%
Step-by-step explanation:
C. Find the equation of the line perpendicular to
y = 14x-5 and passing through (2,-3).
Answer:
y = -1/14x - 20/7
Step-by-step explanation:
An equation consists of y = mx + b.
m = slopeb = y - intercept- When a line is perpendicular, the slope becomes the opposite.
14 = -1/14
- Now, that we have the slope, all we need to do is find the y-intercept/b.
y = -1/14x + b
-3 = -1/14(2) + b
-3 = -1/7 + b
-20/7 = b
What is the answer to, 2/3 / -1/2?
Answer:
[tex] \frac{ \frac{2}{3} }{ \frac{ - 1}{2} } \\ = \frac{2}{3} \times \frac{ - 2}{1} \\ = \frac{ - 4}{3} \\ thank \: you[/tex]
Answer:
-4/3
Step-by-step explanation:
[tex]\frac{2}{3} /\frac{-1}{2} \\\\\frac{2}{3} *\frac{-2}{1} \\\\\frac{-4}{3}[/tex]
What is the common ratio between successive terms in the sequence?
Answer:
1/3
Step-by-step explanation:
the formula of common ratio is given as
[tex]r = \frac{a2}{a1} [/tex]
a1= 27 ,a2=9
r= 9/27
r= 1/3
Please need help with this question
Answer:
D. It is a function, but it is not one-to-one.
Step-by-step explanation:
A function means that each x value has only 1 y value assigned to it.
It is not one-to-one because the x value 0 does not have any y value assigned to it. This is called an asymptote.
i need help ;^; please
Answer:
80
Good luck :)
Answer:
80
Step-by-step explanation:
[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]
[tex]\sqrt{6400}[/tex]
6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5
= 2^8 * 5^2
2^4 * 5
16*5 = 80
write the decimal 0.85 as a percentage
Answer:
0.85 = 85%
Multiply 0.85 by 100 to get 85 percent
The number of people is inversely proportional to the number of days for a bag of rice to last. If it takes 8 people for a bag of rice to last 5 days, how many days would it take 10 people?
Answer:
4
Step-by-step explanation:
the ratio is 8/5, so the inverse would be 5/8, then it went up to 10, so it would be 10/4
giải bất phương trình
a)2x+1/2x+2<1
b)1/x+4<1/x-2
Answer:
[tex]a)x < - \frac{2}{5} [/tex]
[tex]b)4 < - 2[/tex]
Step-by-step explanation:
[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]
[tex] = 4x + x + 4 < 2[/tex]
[tex] = 5x + 4 < 2[/tex]
[tex] = 5x < 2 - 4[/tex]
[tex] = 5x < - 2[/tex]
[tex] = x < - \frac{2}{5} [/tex]
[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]
[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]
[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]
[tex] = 4 < - 2[/tex]
= X ∈ ∅