Answers
Answer:
n=64
Step-by-step explanation:
Let think algebracially. One of the terms in the set is a fraction. A natural number must be a whole number so this means that
n must be a multiple of 8.
*N must be a multiple of 8.
Look at the third term, we know that a square root must produce a perfect square term to get a natural number. So n must be a multiple of 8 that makes the radical a perfect square
Perfect squares are.
0,1,4,9,16,25,36,49,64,81,100,121,144,169,196,225, 256, 289
N has to compute a sum greater than 225 so the perfect squares we look at must be greater than 225.
The next one is 256 but
[tex]256 - 225 = 31[/tex]
[tex]31 \div 8 = \frac{31}{8} [/tex]
which isn't rational so 256 won't work. Let try 289
[tex]289 - 225 = 64[/tex]
[tex]64 \div 8 = 8[/tex]
and
[tex]33 + 64 = 97[/tex]
So 64 works. 64 is the answer
n=64
Related Questions
The formula for the volume V of a cylinder is V =TTr2h , where r is the radius of the base
and h is the height of the cylinder. Solve the formula for h. Then find the height of a
cylinder with a volume of 54TT cm3 and a base with a radius of 3 cm.
type your answer
Answers
Answer:
I think the first part is just
h = v/TTr2
the second part is about 1.9099
Step-by-step explanation:
the first part is just moving the TTr2 part under the v
the second part is to find the base area. which is TTr2, then divide the height by the base area
Why does the common ratio in an infinite geometric series have to be between 1 and -1? Why doesn't -2 or 2 work? Please help with this. Thanks in advance!
Answers
Answer:
A n+1 / A n the ratio of successive terms will be less than 1 if A is between -1 and 1 so successive terms will have a ratio less than 1 and can be determined
If A n+1 / A n > 1 then successive values of the given ratio will not approach a constant value
If you write the value of the nth term as L = a r^(n - 1) one can see that r^(n - 1) approaches a fixed value if r between -1 and 1 but not if | r | > 1
5 23 18 8 4 = 100 Order of Operations
Use only +, -, ( ), x, /
Answers
Answer:
200
Step-by-step explanation:
order of operations
On a survey, 7 students reported how many minutes it takes them to travel to school. Here are their responses.
8, 4, 4, 10, 8, 6, 15
Send data to calculator
Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.
Answers
Explanation:
To find the mean, you need to add all of the numbers you have and divide the total sum by how many numbers you have. (Sorry if it's confusing I'm bad at putting things into words)
So, you'd add the students' responses first.
8+4+4+10+8+6+15=55
Then, you'd divide the sum (55) by the number of responses (7).
55/7=A really long decimal so we're just gonna round it
55/7≈7.9
The front of a house is in the shape of a hexagon with two right angles.
The other four angles are all the same size.
Calculate the size of one of these angles.
Answers
Answer: 135°
Step-by-step explanation:
The sum of the interiors angles of the hexagone is (6-2)*180°=720°
Two angles are right: 2*90°=180°
The sum of the four angles is 720°-180°=540°
Each angle is 540°/4= 135°
In their latest play, the Giants lost another 5 yards. This is their third time losing 5 yards. They also gained 20 yards. Give an integer to represent how many yards the Giants have gained or lost.
Answers
ANSWER: +5
EXPLANATION:
(-5) + (-5) + (-5) = (-15)
+20 + (-15) = +5
2.
In the number below, what place value is the digit 2 in?
6.3529
b) Thousandths
a) Tens
d) Ones
c) Hundredths
Answers
Answer:
the digit two is in tens... so a) is the answer
I need the steps and answers please
Answers
Answer:x=-1
Step-by-step explanation:
-8x-20=2(-x-9)-4x
-8x-20=-2x-18-4x
-8x-20=-6x-18
-8x-20+20=-6x-18+20
-8x=-6x+2
-8x+6x=-6x+2+6x
-2x=2
-2x/-2=2/-2
x=-1
Give the correct model for the situation.
Zoey earns $20 an hour babysitting plus a $5 flat rate for gas. How many hours must Zoey work to earn at least $125?
Group of answer choices
20h+5≤125
20h+5=125
20h+5≥125
20h−5=125
Answers
Answer:
C
Step-by-step explanation:
when it says at least it means ≥ so c is the only on
what equation represents the line that passes through the points (7,15) and (-4,4)?
Answers
Equation of line is y = mx +b
Passing through (-3,7 )
X= -3, y= 7
plug in these
7 = -3m + b ... .Eq1
Also X = 4 , y= 10
10 = 4m + b ............... Eq 2
Solve Eq 1 and Eq 2 for m and b
m= 3/7
b= 58/7
Thus y =( 3/7) X + 58/7 is equation of line
0r 7y = 3X +58
A boy's age in ten year time will be four times his age five years ago. Find his present age.
Answers
Answer:
He is ten.
Step-by-step explanation:
10 yrs old. Go ahead 10 yrs to make 20. Which is four times as much as five years old. (Which is 5 years before 10)
Hope this helps! :)
Answer:
Present age = 10
Step-by-step explanation:
Let us assume that,
→ Present age = x
Forming the equation,
→ x + 10 = 4(x - 5)
Now the value of x will be,
→ x + 10 = 4(x - 5)
→ x + 10 = 4x - 20
→ x - 4x = -20 - 10
→ -3x = -30
→ x = -30/-3
→ x = 30/3
→ [ x = 10 ]
Hence, the boy's age is 10.
2(X -7) +10 word form
Answers
Joe needs to add 1/2 cup of water to his cake mix, but all he has to measure with is a teaspoon. There are 48 teaspoons in a cup. How many teaspoons of water does Joe need to add to his mix?
Answers
Answer:
24
Step-by-step explanation:
which expression is equivalent to
Answers
Answer:
1/36
Step-by-step explanation:
6^-1 is the same as 1/6,
1/6^2 is 1/36
Answer:
1/36
Step-by-step explanation:
have a good semester
someone help with this, asap ty.
Answers
Answer:
Still C br-uh
Step-by-step explanation:
What is the sum of −7+5?
You may use the number line to help you figure out the answer.
A number line ranging from negative 10 to positive 10, in increments of 1.
Drag and drop the sum into the box to match the expression.
Answers
Answer:
-2
Number Line:
1 2 3 4 5
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Answer:
dude it is too easy bro -2 I don't really like math but the answer is -2 so goodluck
Step-by-step explanation:
-7+5=?
count but start from -7 instead like this
-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7
now we just count from -7
-7 -6 -5 -4 -3 -2
how much five not subtract add you are going up this time so good luck
here a number line too.
< -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 >
4 x (15 - 4.55)
HELP PLEASE‼️
Answers
Answer:
41.8x
Step-by-step explanation:
easy
Answer:
41.8
Step-by-step explanation:
4 × (15 - 4. 55)
4× 15 - 4 × 4.55
60 - 18.2
41.8
give brainliest please I need it to level up
5 − 2 = 25 please help me
Answers
Answer:
Is this a true or false question? Because nothing further can be done with the equation above. If so, the equation above is false.
4.08 dived by 2 show work
Answers
Find ""k"" so that the 58 unit diagonal of a rectangle can have an aspect ratio of 15:8. Then find the length and width of the rectangle and find its area.
Answers
Step-by-step explanation:
The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).
So far this gives us L∗W=300in2
Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:
4x∗3x=300in2
Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:
4∗x∗3∗x=300in2
From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:
12x2=300in2
From here, simply divide through by 12 to isolate x on one side,x2=25
And finally take the square root of both sides to work out what your common factor is,
x=5
Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.
(4∗5)in∗(3∗5)in=300in2
20in∗15in=300in2
Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in
Plz help. i’ll give brainliest
Answers
Answer:
x=17 degrees
m1=97 degrees
Step-by-step explanation:
6x-19=3x+32(vertically opposite angles)
6x-19-3x=32
3x =32+19
3x=51
x=17 degrees
when we substitute x in these:
6x-19=83
3x+32=83
if 1=y
83+83+Y+Y=360(points around a point is 360 degrees)
166+2Y =360
2Y =360-166
2Y=194
Y=97
Therefore 1=97 degrees
Hope you got it
If you have any answer just ask me
If you think this is the best answer please mark me as brainliest
Find the slope of the line through each pair of points use the slope formula show your work (-9,-13), (-12,15)
Answers
Answer:
-28/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
15-(-13)/-12-(-9)
28/-3 or -9 1/3
Best of Luck!
Helppppp me!!!
Mark all of the statements that are true.
A. This graph is not a function because the value of y is the same for
every value of x.
O B. The domain for this function is the set (-5).
C. All real numbers are in the range of this function.
D. The domain for this function is all real numbers.
✓ E. The range for this function is the set (-5).
Answers
Answer:
The range for this function is the set (-5)
Solve: 7(8 - 1) + (42/3) / (10 - 7)3
Answers
Answer:
50.55
Step-by-step explanation:
7(8-1) + (42/3) / 3(10-7)
7× 7 + (14) /9
49 + 14/9
49 + 1.55
= 50.55
Write the following numbers in words.
11)
644.112
12)
11.560
13)
200,006 4
14)
1.067
Answers
Answer:
Step-by-step explanation:
11)six hundred forty four and one hundred and twelve thousandths
Write an equation for the following real life scenario.
Use "X" to represent your variable.
Half a number is 16.
Answers
Answer:
1/2x = 16
x = 32
Step-by-step explanation:
2. What value of x makes the equation below true?
12 + 2x + 12
(a) Not possible
(b) 0
(c) 12
(d) -12
Answers
A number is multiplied by itself the product is 54_9 find the number
Answers
Which number is greater, -7 or 6? Which number has the greater symbols and absolute value symbols when you write your answer. absolute value, -7 or 6? Explain your thinking. Use comparison
Answers
Answer:
6 is greater than -7. However, when using absolute value, -7 would be greater because its absolute value is +7
Step-by-step explanation:
Hope this helps :)
X-Y=6 Y=3 Solve and find the (x,y)
Answers
Answer:
x = 9
Y = 3
Step-by-step explanation:
hope that helps you
Answer:
y=3
x=9
Step-by-step explanation:
Let's take X-Y=6 as 1
and Y=3 as 2
1+2
x-y+y=6+3
x=9
x-y =6
9-y=6
9-6=y
y=3
Hope you got it
If you have any question just ask me
If you think this is the best answer please mark me as brainliest
