Answer:
n = 17. This means, √(18 x 17 x 34) = √(10404) = 102.
Step-by-step explanation:
An integer is a number that is not a fraction.
Given √(18 x n x 34), for the expression to be an integer, the product must be a perfect square. We are looking for n, the smallest number to multiply 18 x 34 to make it a perfect square. We have:
18 x 34 = 2 x 9 x 2 x 17 = 2 x 3 x 3 x 2 x 17 = 2² x 3² x 17.
From here, we see that we need to multiply an extra 17 to make it a perfect square, therefore n = 17. So we have:
√(18 x 17 x 34) = √(10404) = 102
The least possible positive integer-value of n such that [tex]\sqrt{18\cdot n \cdot 34}[/tex] is an integer is 17
The expression is given as:
[tex]\sqrt{18\cdot n \cdot 34}[/tex]
Expand the equation
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 9 \times n \times 2 \times 17}[/tex]
Express 8 as 3^2
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 3^2 \times n \times 2 \times 17}[/tex]
Rearrange the factors as follows:
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 2\times 3^2 \times n \times 17}[/tex]
Express 2 * 2 as 2^2
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2^2\times 3^2 \times n \times 17}[/tex]
Evaluate all exponents
[tex]\sqrt{18\cdot n \cdot 34} = 2\times 3 \times \sqrt{n \times 17}[/tex]
[tex]\sqrt{18\cdot n \cdot 34} = 6 \times \sqrt{n \times 17}[/tex]
For the expression to be an integer, then the radical must be a perfect square.
Given that the expression in the radical is [tex]{n \times 17[/tex], then the value of n must equal 17, at the very least
i.e.
[tex]n = 17[/tex]
Hence, the least possible positive integer-value of n is 17
Read more about integers at:
https://brainly.com/question/13136492
identify the terms, coefficient, variable,and constant a² + 2 + 7b
Answer:
variable is letter
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y = -1/4 -1
3) Consider the system of equations shown below.
y=-5x+1
y=-5x+ 10
How Many solutions does this system have?
a) Six solutions
b) One solution
c) Infinite solutions
d) No Solution
I
Answer:
no solution
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Chick Hicks buys 20 car stickers for $760. If every sticker costs the same price, how much would it cost for 5 stickers?
Answer:
$190
Step-by-step explanation:
Step one:
Given data
Chick Hicks buys 20 car stickers for $760.
let us find the cost of one sticker
cost of one sticker= 760/20
cost of one sticker=$38
Step two:
if 1 sticker cost $38
5 stickers will cost x
cross multiply
x= 5*38
x= $190
25 POINTS. Radar used microwaved yo check the speed of cars. If a speed of the microwaves is 2 000 000 m/ s and the wavelength is 0.0345m calculate the frequency.
Answer:
57971014.49 Hz or 5.79 * 10^7 Hz
Step-by-step explanation:
Given that:
Speed of microwave (v) = 2,000,000 m/s
Wavelength, λ = 0.0345 m
Frequency :?
Using the relation :
v = fλ
f = v / λ
f = 2,000,000 / 0.0345
f = 57971014.49 Hz
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! REALLLLLLLLLLLY EASY! i'm either dum.b, st.upid, or dum.b
9514 1404 393
Answer:
y^6
Step-by-step explanation:
It can help to remember that an exponent is simply an indicator of repeated multiplication. Common factors cancel from numerator and denominator.
[tex]\dfrac{y^7}{y}=\dfrac{y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y}{y}=y\cdot y\cdot y\cdot y\cdot y\cdot y=\boxed{y^6}[/tex]
_____
Written as a rule of exponents, this is ...
(a^b)/(a^c) = a^(b-c)
Of course, a = a^1.
Xavier walked 8 miles in 5 hours. What was his walking rate in miles per hour?
Answer:
0.6 miles per hours per hour
Step-by-step explanation:
Simply divide 5 by 8
your answer: 0.6 miles per hour.
What dose No mean in math
Answer:
Nobelium
Step-by-step explanation:
That looks like a chemistry element unless No is meaning the abbreviation No. - Meaning, number.
Mrs. Ciampa had 27 students last lear and this year she had 30 students in her math class. what is the percent of change.
Answer:
20%
Step-by-step explanation:
pls help ill give brainliest if it’s right!!!!!!
Answer:
Its blurry please take new picture
Step-by-step explanation:
Add the following term
2x^7 + 3x^7 =
Answer:
5x^7
Step-by-step explanation:
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
What is the volume of a right rectangular prism with length 10 units, width 5 units, and height 3 units?
18 units³
45 units³
80 units³
150 units³
Answer:
V=150
l Length
10
w Width
5
h Height
3
Step-by-step explanation:
hope im right!
Answer:
It is 150!
Step-by-step explanation:
Took the test!
Please mark as brainliest!
-KanaKittyKat
A triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches
24 square inches
72 square inches
48 square inches
Answer:
yes it is
Step-by-step explanation:
What types of bees live in a hive?
you are now a fiftynaire
Answer:
the queen, the workers, and the drones. :)
On Tuesday, Babajan makes 300 grams of breakfast cereal.
500 grams of nuts cost £8.
Work out the cost of the nuts used to make 300 g of the breakfast cereal.
Answer:4tb 4 tb 5yb 5 b b evy bn trh n 4e
Step-by-step explanation:w b wgb grb wrbth de nhe mj
brainliest if answered correctly! Please help
Find the scale factor if point
A (4,-2) is dilated to be
point A (1, -3)
need help please also watch Attack on Titan
Levi
Answer:
B.
Step-by-step explanation:
The sets represented is {50,70,70,75,75,95,95,100}
The Kid Laroi
Answer:
The answer is B
Step-by-step explanation:
Levi is mine
Expand 5a +2 (3a + 3b)
Answer:
Step-by-step explanation:
we will do:
5a+2*3a+2*3b=
=5a+6a+6b=11a+6b
Hey you ‼️ yeah I unfortunately need your help again these are hard:(
Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
(1,5) (-2,-2) slope?? help im dum
Answer:
Slope is 7/3
Step-by-step explanation:
Answer:
Dora cant find her car plss help
Step-by-step explanation:
PLs tell dora if u found her car
The area of the rectangle is 27 square feet. Choose the equation you can use to find the value of x. A rectangle. The length is x feet and the width is 3 feet. $3x=27$ $2x+6=48$ $27x=3$
Answer:
3x = 27
Step-by-step explanation:
Since the area of a rectangle, A = lw where l = length = x and w = width = 3 feet. So, A = 3x. Since A = 27 square feet, 27 = 3x.
So, the required equation is 3x = 27
What is one half ( 1/2 ) squared?
Answer:
[tex](\frac{1}{2} )^{2} =\frac{1^2}{2^2} = \frac{1} {4}}[/tex]
When squaring a fraction, square both numerator AND denominator
k(l - p) + j = s + w solve for P
9514 1404 393
Answer:
p = l -(s +w -j)/k
Step-by-step explanation:
We can undo what is done to p.
[tex]k(l -p)+j=s+w\\\\ k(l-p)=s+w-j \qquad\text{subtract $j$}\\\\ l-p=\dfrac{s+w-j}{k} \qquad\text{divide by $k$}\\\\ l=\dfrac{s+w-j}{k}+p \qquad\text{add $p$}\\\\ \boxed{p=l-\dfrac{s+w-j}{k}} \qquad\text{subtract the fraction}[/tex]
each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its historical average. which list shows water levels in order highest to lowest. :
A 0.38 0.7 0.09 -0.41 -0.6
B 0.7 0.38 0.09 -0.6 -0.41
C 0.38 0.09 0.7 -0.6 -0.41
D 0.7 0.38 0.09 -0.41 -0.6
Answer:
0.7, 0.38,0.09, -0.41, -0.6 (A)
Step-by-step explanation:
It makes sense
need help which one is it
a)x=7
b)x=12
c)x=20
- you can use the pythagorean theorem for this.
a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
- square root this.
c = 20
therefore, x = 20.
so option C.
Answer:
c. X = 20
Step-by-step explanation:
Pythagoras theorem
a² + b² = c²
12² = 144
16² = 256
144 + 256 = 400
√400 = 20
how do I find the missing length?
Answer:
4+8+12
Step-by-step explanation:
Answer:
if the top is twelve and part of the bottom is 4 12-4=8 the missing part is 8
Alright, I need help PLEASE !!
I am having a hard time solving Radical Equation
does anyone have an easy step by step explanation
I will give Brainlest :) !!!!!!!!!!!!!!!
hhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeelllllllllllllllllp
Answer:
55
Step-by-step explanation:10 percent of 50 is 5 +50 equals 55
Answer:
$55
Step-by-step explanation:
Find how much is 10% of 50 which is 5 and add it to the cost to store.
What is 32,000 divided by 8
Answer:
Is 4000 the answer is 4000.the answer is 4000
HELP ASAP
What is the scale factor?
Answer:
Step-by-step explanation: this should help
