Answer:
82 is a secondary prime, with the factors 2 and 41
Answer:
2 x 41
Step-by-step explanation:
82=1 × 82 or 2 × 41
factors of 82: 1,2,41,82.
prime factorization: 82= 2 ×41.
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?
Answer:
[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center of the circle and r is the radius.
For this circle, the center is (5, -9) and the radius is 12. Therefore:
[tex]h= 5 \\k= -9 \\r=12[/tex]
Substitute the values into the formula.
[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]
Distrubute the -1 into the -9.
-(-9)= -1*-9= 9[tex](x-5)^2+(y+9)^2=(12)^2[/tex]
Solve the exponent.
(12)²= 12*12=144[tex](x-5)^2+(y+9)^2=144[/tex]
The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144
Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.
The equation of a circle.Mathematically, the standard form of an equation of a circle is given by;
(x - h)² +(y - k)² = r²
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Given the following data:
Coordinates (h, k) = (5, -9).Radius = 12.Substituting the given parameters into the formula, we have;
(x - 5)² +(y - (-9))² = 12²
(x - 5)² +(y + 9)² = 144
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There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop. How many people got off the bus at the third stop?
Answer:
36
Step-by-step explanation:
so 50% of 120 is just half of it. so that would be 60. Then 20% of 120 is 24 so subtract that from 60 and you get 36.
Three less than the quotient of a number and 4 is 13. What is the number? Let n be the unknown number
Answer:
64
Step-by-step explanation:
n/4-3=13
n/4=16
n=64
please help!! it’s due today
Answer:
D. y=-1/2x+5
Step-by-step explanation:
Slope-Intercept Form: y=mx+b
Line passes through y-axis at (0,5) so the "b" part of the equation is positive 5 on the y-axis. Slope is -1/2 so "m" is -1/2.
Draw and use algebra tiles to solve the equation.
2x - 3 = 5
Answer: x=4
Step-by-step explanation: Add 3 to both sides, Divide both sides by 22
Answer:
x=4
Step-by-step explanation:
2x-3=5
2x-3+3=5+3
2x=8
2x/2=8/2
x=4
Alex and Amber are both saving money for a
summer vacation. Alex has already saved $100 and
plans to save $25 per week until the trip. Amber has
$75 and plans to save $30 per week. In how many
weeks will Alex and Amber have the same amount of
money?
19 points!
Step-by-step explanation:
25*x+100=30×x+75
25=5x
x=5
For every 2 bricks, 5 paving stones were used to build a backyard patio. James used a total of 120 bricks to complete his patio. Of the paving stones he used, 46% were tan in color while the rest were gray.
How many gray paving stones were used to build the patio?
Answer:
162
Step-by-step explanation:
... (total paving stones) / bricks = 5 / 2
Multiplying by bricks gives ...
... (total paving stones) = (5/2)·bricks = 5/2·120 = 300
Then the number of gray paving stones is ...
... (gray stones) = (total paving stones) - (tan stones) . . . . tan + gray = total
... = (total paving stones) - 46% · (total paving stones) . . . . tan is 46% of total
... = (100% - 46%)·(total paving stones) = 54% · (total paving stones)
... = 54/100 · 300 . . . . put in the total number of paving stones
... (gray stones) = 162
Answer:
The answer is 162
Step-by-step explanation:
The sum of three consecutive integers is 12 less than 4 times the middle integer
Answer:
[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]
Step-by-step explanation:
We can set up the following equation with the information given:
[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.
Solving, we get:
[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].
The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
What are integers?Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.
Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.
So if we have to form an equation for three consecutive numbers, it will,
(x-1), x, (x+1),
Now, according to the question,
(x-1) + x + (x+1) = 4x -12
Solve the equation,
3x = 4x -12
x = 12
Hence, first integer = 12 -1 = 11,
Second integer = 12,
Third integer = 12+1 = 13.
Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
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Which ordered pair follows the pattern in the graph?
(2, 4)
(3, 4)
(6, 8)
(6, 9)
Answer:
The correct answer is (6,9)
Step-by-step explanation:
Plz help me it history plzz help me fast
Answer:
I got F but im not 100% sure.
Step-by-step explanation:
Solve for x Show all steps
25 x² + 100 = 0
Step-by-step explanation:
25x² + 100 = 0
25(x² + 4) = 0
x² + 4 = 0
x² = -4
Since x² >= 0 for all real values of x, there is no real solution for x. However there are complex solutions.
=> x = ±√-4
=> x = 2i or x = -2i.
Que forma tiene un hexágono y como se entre si?
Answer:
Al igual que los cuadrados y los triángulos equiláteros, los hexágonos regulares encajan sin ningún espacio para enlosar el plano (tres hexágonos se encuentran en cada vértice), por lo que son útiles para construir mosaicos.
Need help math question ! 10 points !!
Answer:
the first choice if correct could i get brainliest?
Step-by-step explanation:
Answer:
The answer is the last option, 5/6.
A certain alloy contains 14% tin and 32% copper. (The percentages are by weight.) How many pounds of tin and how many pounds of copper must be melted with 1750 lb of the given alloy to yield a new alloy containing 20% tin and 35% copper? Hint: Introduce variables for the weights of tin and copper to be added to the given alloy. Express the total weight of the new alloy in terms of these variables. The total weight of tin in the new alloy can be computed two ways, giving one equation. Computing the total weight of copper similarly gives a second equation.
Answer:
The answer is 10 I believe! A whole triangle is equal to 180 degrees so 180-70-60-60= -10. So we have to add 10 to equal it to zero. Hope this helped
Step-by-step explanation:
CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP
Answer:
i believe its b. but im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
Given Triangle DEF is isosceles and angle D is the vertex angle, Find x, DE, DF, EF
Answer:
x=2;DE,EF=9,DF=5
Step-by-step explanation:
Since DEF is isoceles, you can set the equations
x+7 and 2x+5 equal to each other
x+7=2x+5, now solve for x
-x=-2,
x=2, now plug in for each side
DE,EF=9
DF=3(2)-1=5
Which expression is equivalent to the expression below? 7x+5y+x+x+x+x 7x+5y+x+x+x+x
the answer is 22x + 10y
Step-by-step explanation:
7x+7x+x+x+x+x+5y+5y+x+x+x+x = 22x + 10y
A hose fills a hot tub at a rate of 4.68 gallons per minute. How many hours will it take to fill a 338 gallon hot tub?
Answer:
1 hour and 12 mins and 56 seconds
Step-by-step explanation:
Hope this helps and have a great day!!!
What is one-third of one-half?
Answer:
0.16666666666
Step-by-step explanation:
1/3 x 1/2 = 0.16666666666
Solve by completing the square
x^2 + 10x - 17 = 22
Which is the graph of
y= 1/2x
See picture
PLEASE ONLY COMMENT IF YOU ARE SURE OF THE ANSWER!!!
Answer:
Option 1
Step-by-step explanation:
Let's look at the slope; 1/2
it's positive, so the line will go from Quadrant III to Quadrant I. That means that Option 3 is out since it goes from Quadrant IV to Quadrant II.
Next; let's look at the steepness of the lines. Slopes that are fractions less than 1 are flatter than slopes that are greater than 1. Since the slope on Option 1 is flatter than Option 2, that means that Option 1 is a number less than 1, while Option 2 is a number greater than 1.
You can stop here, but we can also triple check using the rise/run.
Start from a point, for example (0,0) on Option 1. To get to the next point that's two whole numbers (1,2) we need to go 2 to the right and one up. Since we rose 1, and ran 2, the slope would be 1/2.
If we do the same with Option 2, we'll find that it rises 3 and runs 2. The slope for this line is 3/2.
Hope this helps!
A square is defined to be a quadrilateral with four congruent sides and four right
angles. Additionally, squares have two pairs of parallel sides,
Choose all of the quadrilaterals that accurately complete the following statement:
A square is a special
Answer:
Step-by-step explanation:
a square is a special rectangle and a parallelogram , and a rhombus
If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q =
Question 3 options:
A)
4x2 – 4x + 4
B)
4x2 + 4x + 4
C)
4x2 + 4x – 4
D)
4x2 – 4x – 4
Answer:
B)
4x2 + 4x + 4 may be right answer
at.the zoo there is a ratio of zebra to giraffes 5:2 there are 21 animals how many zebra and how many graffies
Step-by-step explanation:
Given that the ratio of zebras are 5 and giraffes are 2
We add them giving is 7
So: giraffe=2/7 × 21 = 6
Zebra 5/7 × 21 = 15
Finn,Rita,And Marcus have 4 honey nut bars to share equally? How many honey bars does each person get? Each person gets______bars?
HELP ME PLEASE,GUYS!
Answer:
4/3=1 1/3
Step-by-step explanation:
QUESTION 4 of 10: An entertainment venue has a total advertising budget of $5 million per year. 30% of the budget is spent on social media
and 25% is spent on traditional media. Within the traditional media spending, 15% is spent on print advertising, 50% is spent on TV advertising
and 35% is spent on radio advertising. How much is spent on radio advertising?
ОООО
a) $437,500
b) $525,000
c) $687,500
d) $1,500,000
Answer:a
Step-by-step explanation:trust me bro
3/10 + 3/5 porfavor nesesito le respuesta
Answer:
9/10, .90, 90%
Step-by-step explanation:
Please help. . . . . . . . .
9514 1404 393
Answer:
recursive: 5, 3, 2
explicit: 5, 3
Step-by-step explanation:
First of all, you can identify the first term as a1 = 5.
Then you can see that the ratio of consecutive terms is ...
15/5 = 45/15 = 135/45 = 405/135 = 3 . . . the common ratio
In the recursive formula, a1 is the first term (5), and the multiplier getting you to the next term is the common ratio (3). The recursion relation is good for values of n such that n-1 is at least 1. That is, n ≥ 2.
[tex]\text{The recursive rule is }a_1=\boxed{5}\text{ and }a_n=\boxed{3}a_{n-1}\text{ for }n\ge\boxed{2}[/tex]
__
The explicit rule is formed the way the problem statement tells you: the first term times a power of the common ratio.
[tex]\text{The explicit rule is }a_n=\boxed{5}(\boxed{3})^{n-1}[/tex]
Need Answer Question Is In Photo.
Answer:
The correct answer would be bill
Step-by-step explanation:
Hope that's right! Hope it helps
Chu
Step-by-step explanation:[tex]\frac{x}{3}+4=7[/tex] (subtract 4 from both sides (4-4 and 4-7)
[tex]\frac{x}{3}=3\\[/tex] (multiply both sides by 3)
x=9
If the following figure is a rectangle, find the missing measures. round all answers to 1 decimal place if necessary.
Answer:
VW=31
WX=19
YW=36.4 or [tex]\sqrt{1322}[/tex]
ZX= 18.2 or [tex]\frac{\sqrt{1322} }{2}[/tex]
VX= 36.4 or [tex]\sqrt{1322}[/tex]
Step-by-step explanation:
Since the figure is a rectangle certain rules about the lengths of its sides and diagonals apply. One such rule is that opposite sides are equal, so YX=VW and VY=WX. Then you need to find the length of the diagonals by using the Pythagorean theorem since the diagonals cut the rectangle into two right triangles. By using the theorem you can find that the length of the diagonal YW is 36.4 or [tex]\sqrt{1322}[/tex], and since all diagonals are congruent VX is the same. Finally, in rectangle diagonals bisect each other, therefore part of one must be half of the total, so ZX must be half of VX.