Answer:
N=48
Step-by-step explanation:
2^9+2^4+48=576
576 is a perfect square
The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48
The number is given as:
[tex]2^9 + 2^4 + N[/tex]
Evaluate the exponents
[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]
Add 512 and 16
[tex]2^9 + 2^4 + N = 528 + N[/tex]
The above equation means that:
The sum of 528 and N is greater than 537 (this is so because N is 2-digit i.e. the possible value of N starts from 10).The smallest perfect square greater than 537 is 576.So, the smallest value of the equation is 576.
The equation becomes
[tex]528 + N = 576[/tex]
Subtract 528 from both sides
[tex]N = 576 - 528[/tex]
[tex]N = 48[/tex]
Hence, the least value of N is 48
Read more about perfect squares at:
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Can someone tell me what’s the answer is
Answer: I believe the answer is 50
Step-by-step explanation: I know this angle is a right angle that is split into two and since you already know what 1/2 of the angle is you just figure out how much more we need to equal to the angle in this case it’s 50
Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the straight line BD and the value of area of triangle ABD is an integer. Calculate the length of AC, in cm. (4 marks)
Answer:
8
Step-by-step explanation:
100 = x^2 + AC^2
17^2 = AC^2 + (21 - x)^2
289 = AC^2 + 21^2 + x^2 - 2*21*x
289 = AC^2 + 441 + x^2 - 42x
from 1st equation AC^2 + x^2 = 100
289 = 441 + 100 - 42x
289 = 541 - 42x
42x = 541 - 289 = 252
x = 252/42 = 6
so AC^2 = 100 - 6^2 = 100 - 36 = 64
AC = 8
Whitch of the following equations best describes the line containing all three points ?
I got 8 green crayons for the a part just confused for the b part
Answer:
Just apply the same method to part B
x:24
5:8
x3 x3
15:24
Answer:
8
7
Step-by-step explanation:
24 purple
green : purple = 1 : 3
g / p = 1/3
g / 24 = 1/3
g = 24/3
g = 8
now abbi put x green crayons into box
now green : purple = 5 : 8
(8 + x) / 24 = 5/8
8 + x = 5/8 * 24
8 + x = 5 * 3
8 + x = 15
x = 15 - 8
x = 7
What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?
Answer:
Radius: √ 61
Step-by-step explanation:
Complete the square for x^ 2 + 12 x = ( x + 6 ) ^2 − 36
Substitute ( x + 6 ) 2 − 36 for x 2 + 12 x in the equation x 2 + y 2 + 12 x − 10 y = 0
= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0
Move − 36 to the right side of the equation by adding 36 to both sides
= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36
Then you know the rest: radius will be √ 61
The center coordinate of the circle is (6,5) with a radius = 7.34
What is the equation of the circle?The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]
Substituting the values in the equation:
[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]
⇒ -2ax = -12x
⇒ a = 6.
-2by = -10y
b= 5.
⇒ a² + b² - r² = -7
⇒ 6² + 5² + r² = -7
⇒ 36 + 25 + r² = -7
⇒ r² = 54
⇒ r = 7.34
Center coordinate (6,5) with r = 7.34
Learn more about the equation of the circle here: brainly.com/question/1471134
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Find the slope of the line below.
Answer:
2/1
Step-by-step explanation:
1. During a thunder storm, the amount of rain on the ground increased at an average rate of 0.25
inch per hour. There was already 4.5 inches of rain on the ground when the storm started.
What is the total amount of rain on the ground, in inches, after 8 hours of the storm?
What is the total amount of rain on the ground, in inches, after 8 hours of the storm?
GivenAverage Rate of Rain on Inch Per Hour = 0.25The Rain on the Ground = 4.5Time of Raining = 8 hoursOperationMultiplication and AdditionNumber Sentence(0.25 x 8) + 4.5= 2 + 4.5= 6.5Final AnswerHence, the total amount of rain is 6.5 inches.
How many of the following statements are true?
19)
a
d Any set of ordered pairs is a function.
d The domain of a relation is the set containing the first
member of its ordered pairs.
d The independent variable in a relation is the variable
used for the range.
d A function is a relation in which each domain value is
paired with exactly one range value.
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1
Step-by-step explanation:
yeah-ya,.................. right?
how long is the Yangtze river
Answer:
3,915 mi
Step-by-step explanation:
what is the length of the hypotenuse of the triangle when x=13
Answer:
Answer is= 105.42 cm
Step-by-step explanation:
Hope it helped
find the median data 46,22,46,49,45,39,40,42,41,39,40,36
Answer:
median is 40.5
Step-by-step explanation:
22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49
half way between numbers in numerical order
lands between 40 and 41
40.5
Answer:
41
Step-by-step explanation:
1. First you have to put the numbers in order from least to greatest:
22 36 39 39 40 40 41 42 45 46 46 49
2. Then cross out each number until you find the one that in the middle
For example first you would cross out 22 then 49 then to 36 then 46 and you get the idea
!!please answer quickly and correctly!!
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 55 large boxes and 70 small boxes. If the truck is carrying a total of 4300 pounds in boxes, how much does each type of box weigh?
Large=40 pounds
small=30 pounds
and this is the solution
(x + 1)(x + 2)(x + 1)(3x + 2)
Answer:
Is it the full question I mean what does it want next anyway?
But here's your answer :
3x^4 + 14x^3 + 23x^2 + 16x + 4
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
Answer:
x2 + (y + 8)2 = 36
Step-by-step explanation:
:) took the test
The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
What is the Standard form of a Circle?Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Given that,
A circle has a diameter of 12 units.
So radius = 12 / 2 = 6 units
Center of the circle lies on the Y axis.
So the x coordinate of the center of the circle will be 0.
So, in (h, k), h = 0
So the equation will be of the form,
(x - 0)² + (y - k)² = 6²
x² + (y - k)² = 36
Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
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7x+20=7x+20
help asap
step by step please
Answer:
The given equation is true for all x.
Step-by-step explanation:
What percent of each diagram is shaded below?
Answer:
a. 3/10
b. 1/5
c. 1/4
Step-by-step explanation:
a. 30/100 = 3/10
b. 20/100 = 1/5
c. 25/100 = 1/4
Answer:
Step-by-step explanation:
You are working with 1 large square made up of 100 little squares. The little squares make up 10 columns of 10 little squares each.
A
Shaded part = 30 squares.
Entire large square = 100 small squares
% = 30 / 100 * 100 = 30%
B
Shaded part = 20 horizontal squares.
Entire large square = 100 small squares
% = 20 / 100 * 100 = 20%
C
Shaded part = 5 by 5 little squares = 25 little squares
Entire large square = 100 small squares
% = 25 / 100 * 100 = 25%
Prize Pooches charges a flat monthy lee or $22, plus $3.65 per hour. Daring Dogs
charges a flat monthly fee of $25, plus $3.40 per hour. After how many hours of
training, h, will Prize Pooches cost more than Daring Dogs?
A)h < 12
B)h = 12
C)h > 12
D)h> 0.75
Answer:
C.) H> 12
Step-by-step explanation:
1. At 12 hours Prize pooches has a total of $65.8
at Daring dogs it's rate is also $65.8.
2. Anything greater than 12 hours though, Prize pooches starts to have a higher total.
complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answer:
ΔDEFStep-by-step explanation:
Pay attention to order of vertices when comparing the congruent parts or figures.
ΔCBA ≅ ΔDEFC and D as well as B and E are corresponding vertices according to angle marks and side marks.
In ∆ABC and ∆DEF
AB=EFBC=EDAC=FDSo
[tex]\\ \sf\longmapsto ∆ABC\cong ∆DEF[/tex]
By SSS congruence
6x-7y=7andx-7y=-8 find valve of x and y
Answer:
x = 3, y = 11/7.
Step-by-step explanation:
6x - 7y = 7
x - 7y = -8 Subtract:
5x = 15
x = 3
3 - 7y = -8
-7y = -11
y = 11/7.
Answer: x = 3 and y = 11/7
Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x) -7y/-7 = -6x+7/-7 y = 6/7x-1 x-7 (6/7 (x) -1) = -8 -5x+7+(-7) = -8+(-7) -5x/-5 = -15/-5 x = 3 y = 6/7x-1 y = (6/7) (3) -1 y = 18/7-1 18/7-1/1 18/7-7/7 y= 11/7 x = 3 and y = 11/7
Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4
Answer:
B. 12y-8
Step-by-step explanation:
by multiplying the 2 through the equation
what is the least common factor for 1,000 and 150
Answer:
least common multiple: 1000
greatest common factor is 50
least common factor would be 1, but that isn't really a common thing to calculate
Step-by-step explanation:
taxi Cab Company B: $6.50 per ride and $0.50 per mile
Express in the table the cost of the cab ride given the number of miles. Hint: Fill in the table above using cost for company B.
Write an equation in slope-intercept form to represent the cost of a taxi ride using company B. Hint: use y= mx+b
Y = __________________
What does the slope mean in the context of this problem?
Hint: What changes the further you ride?
Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50
Cost per ride = $6.50Cost per mile = $0.50Using the slope - intercept relation :
y = bx + cb = change in cost per mile
c = constant price added for every taxi ride
Hence, the expression can be written thus :
y = 0.5x + 6.50Learn more : https://brainly.com/question/17225268
What is an equation of the line that passes through the points (-4, 2) and (-8, -3)
Answer:
a line through (-4,2) and (-8,-3) has slope = (2+3)/(-4+8) = 5/4 = (y-2)/(x+4)
cross multiply
5x +20 = 4y-8
5x -4y =-28
Step-by-step explanation:
does anyone else do i-ready? my little sister thinks we are the only school that does it. She's in pinecrest academy.
i think other students do it too, just saying
Answer:
When I was in my school I use to before the virus we use to do I-Ready all the time so I can promise y'all ain't the only ones
A soap manufacturing company packs 5252 soap bars per carton.
Find the number of soap bars that can be packed in 99 cartons, using a direct variation model.
If this is the question in picture below.
Answer:
468
Step-by-step explanation:
find the slope of the line that passes through the points (-2 3 )and( 4 3)
Step-by-step explanation:
Given points,
( -2 , 3) and (4,3)
we know,
slope = y_2 - y_1 / x_2 - x_1
so according to it we got,
→ (3 - 3)/4 - (-2)
→ 0/6
hope this answer helps you dear! take care.
Hello!
To find the slope when we have 2 points, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{3-3}{4-(-2)} \\\frac{0}{6} \\0[/tex]
Here's something for you to remember:
When the y-coordinates of two points are the same, the slope is 0.Hope it helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Which graph best represents a function with zeros of -2, -1 and 2
Answer:
D
Step-by-step explanation:
Because if you see the x-intercept you will see function with zeros of -2, -1 and 2
1) The measures of the angles of a triangle are in the ratio of 1:3:6. What are the measures of the angles?
1:
3:
6:
Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.
Step-by-step explanation:
Answer:
1: 18 3: 54 6: 108
Step-by-step explanation:
A triangle has 180 degrees.
You need to add up all the ratios 1+3+6
Then divide that by 180----> 180/10=18
Then multiply all the ratios by but answer(18)
1*18=18
3*18=54
6*18=108
[ASAP] Which graph represents a direct variation?
HELP PLZ I NEED TO PASS‼️‼️‼️ (picture of the question is included)A line passes through the point (-4, -3) and has a slope of 5/4.
Write an equation in slope-intercept form for this line.