Answer:
x^2-6x+9
Step-by-step explanation:
(x-3)^2
(x-3)(x-3)
x^2-3x-3x+9
x^2-6x+9
2 Points
What is the center of the circle given by the equation (x+ 5)^2 + (y-8)^2 = 1?
Answer:
(- 5, 8 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 5)² + (y - 8)² = 1 ← is in standard form
with centre (h, k ) = (- 5, 8 )
(-5, 8) is the answer
Step-by-step explanation:
(-5,8)
Determine the difference between the mean and standard deviation of: 33, 44, 43, 56, 55, and 30.
Answer:
mean = ( 33+44+43+56+55+30) / 6
= 261/6
= 43.5
[tex]variance = \frac{33 { }^{2} + {44}^{2} + {43}^{2} + {56}^{2} + {55}^{2} + {30}^{2} }{6} - {43.5}^{2} [/tex]
variance = 96.92
standard deviation = √96.92
= 9.84
difference between mean and standard deviation
= 43.5 - 9.84
= 33.66
Hey u! I need help simplify this expression
Please help I do not understand
Answer:
Option B and C
Step-by-step explanation:
Option B and C are the most valid names for the triangle, Rest of the options don't suit the triangle.
What value of x will make this expression equal to 28.1? A) x=0 is the only value that will make the expression equal to 28.1 B)x=1 is the only value that will make the expression equal to 28.1 C)The expression will equal 28.1 when x=−3.44 D)Any value of x, except when x=−3.44, will make the expression equal to 28.1
Answer:
Any value except -3.44 will make the equation equal to 28.1
Step-by-step explanation:
We are told to multiply the quotient of the fraction by 28.1 to make 28.1. So, it is obvious that the fraction has to simplified to a one. This is possible with any number as whatever the value of x, the numerator and denominator will be equal. But, in the case of -3.44, it will make 5e fraction 0/0, which is undefined and never equal to 1.
I hope this helps
Simply 5^3/5^7 leaving your answer in index
Answer:
Given
Step-by-step explanation:
When the base is same but the exponents are different, the rule is that a^m/a^n
= a^m-n
So in this case let a be 5, m be 3 and n be 7
5^3/5^7
= 5^3-7
= 5^-4
so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate
Answer:
see below
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ (4*1+3)/4
90/7 ÷7/4
Copy dot flip
90/7 * 4/7
360 /49
The exact answer is 7 17/49
To estimate I would round 49 to 50 and 360 to 350
350/50 is approximately 7 and since I rounded the numerator down and the denominator up, the answer would be a little higher
Circumference of circles
Answer:
C = 12.56 km
Step-by-step explanation:
Remember C = 2πr
C = 2(3.14)(2)
C = 12.56
And we have our final answer!
Answer:
Step-by-step explanation:
The circle's circumference is modeled by the equation C=2πr. R is the readius of the circle, and pi is the symbol for the number 3.1419...... and it's infinite. So if C=2π（2）, the answer for the circumference of a circle with a radius of 2 km would be 4π km, or approximately 12.57 km.
Compute 2/3 x 1/3 + 1/3 (3 + 1/3) and express your answer as a mixed number. (Note that 3 1/3 should be read as a mixed number).
Answer:
1 1/3
Step-by-step explanation:
First, distribute the parenthesis.
Second, multiply the fractions.
Third, add the 2 values together to get your answer in improper form.
Lastly, turn the improper fraction into mixed form.
A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30.77 feet, what is the area that will be painted grey? Use 3.14 for π, and round to the nearest square foot
Answer:
37.7 ft²
Step-by-step explanation:
2×3.14×r=30.77
Divide both sides by 2
3.14×r=15.385
Divide both sides by 3.14
r≈4.9
3.14×r²
3.14×4.9²=
24.01×3.14≈
75.4
75.4÷2=
37.7
Q1 Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B.
Answer:
Slope: -1/6
Midpoint of AB: (1, 8.5)
Distance of AB: √37
Step-by-step explanation:
Slope formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
Distance formula: [tex]d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
if f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)
Answer:
3^x+6x+2
Step-by-step explanation:
if f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)=3^x+6x+2
Suppose f(x) = x^2 . What is the graph of g(x)= 1/2 f(x) ?
Answer:
the correct answer is (B)
Answer:
B
Step-by-step explanation:
x² is positive, so it is located on the top of the graph.
The parabola is open and going upwards.
1/2x² is half the parabola.
Preethi writes fifteen 1s in a row and randomly writes + and - between each pair of consecutive 1s. Find the probability that the expression that preethi wrote has value 7.
Answer:
The probability that the expression Preeti wrote has the value 7 cannot be easily determined.
Step-by-step explanation:
Given that Preeti writes
111111111111111,
then randomly writes + and - between each pair of consecutive 1's.
It is not specified that the + and - signs are written to be alternating, they are said to be just 'random'. So, there are a lot of possibilities. Things like:
1+1-1+1+1-1+1-1-1-1+1+1-1+1-1 = 1
Or
1-1-1+1+1-1-1+1+1-1+1-1+1+1-1 = -1
Or
1-1+1-1-1+1-1+1+1-1-1+1-1+1+1 = 0
And so on. There is a lot of possibilities.
So, clearly, the probability is difficult to determine, as the expression Preeti wrote could have had the value 7 in many different forms.
Because:
1+1+1+1+1+1+1-1+1-1+1-1+1-1+1 = 7
1+1+1+1-1-1-1-1-1+1-1-1-1+1+1 = 7
And many more.
Therefore, the probability that the expression Preeti wrote has the value 7 cannot be easily determined.
8n + 2 = 5n + 11 , does anyone one know the answers
Answer:
n=3
Step-by-step explanation:
8n + 2 = 5n + 11
Subtract 5n from each side
8n-5n + 2 = 5n-5n + 11
3n+2 = 11
Subtract 2 from each side
3n+2-2 = 11-2
3n = 9
Divide by 3
3n/3 = 9/3
n =3
Answer:
n=3
Step-by-step explanation:
Let's do the algebra step-by-step.
8n+2=5n+11
-2 -2
8n=5n+9
-5n -5n
3n=9
/3 /3
n=3
Hope this helps :D
a man sells a radio set for rupees 605 and gains 10% at what price should he sell another lady of the same kind in order to gain 16%
Answer:
638 rupees
Step-by-step explanation:
The radio cost him x.
He sold it at a 10% profit for for x + 10% of x which is the same as 1.1x
1.1x = 605
x = 605/1.1 = 550 rupees
It cost him 550 rupees.
To gain a 16% profit, he must sell it for 550 rupees + 16% of 550 rupees
That is the same as 116% of 550 rupees or 1.16 * 550 rupees
1.16 * 550 rupees = 638 rupees
Answer: 638 rupees
y is inversely proportional to x. Given that y=10 when x=2, find the value of y when x=5 PLEASE HELP ME REAL QUICK!! TYSM!
Answer:
Hey!
your answer is
25.0
Step-by-step explanation:
this is my working out below
Two congruent circles centered at points A and B each pass through the other circle's
center. The line containing both A and B is extended to intersect the circles at
points C and D. The circles intersect at two points, one of which is E. What is the degree
measure of angle CED?
Answer:
60°
Step-by-step explanation:
We know triangle ABC is an equilateral triangle, since all of its side measures are the radii of the circles. That means angle BAC is 60°. Likewise, angle BAD is 60°, so arc CD is 120°.
The measure of inscribed angle CED is half the measure of the intercepted arc CD, so is ...
∠CED = 120°/2
∠CED = 60°
I NEED HELP PLEASE, THANKS! :)
Answer: B (the second graph)
Step-by-step explanation:
Inverse is when you swap the x's and y's.
The graph has an asymptote at y = 4
so the inverse graph will have an asymptote at x = 4
a) Asymptote: y = 0
b) Asymptote: x = 4 → This is the correct graph!
c) Asymptote: y = -4
d) Asymptote: y = -4 this is the exact same graph as c
Restate the problem in a way that can be easily translated into an equation.
It took Dwight 30 seconds longer to swim across the pool than it did Claire.
A. Dwight's time equals Claire's time plus 30 seconds.
B. Claire's time equals Dwight's time plus 30 seconds.
C. Dwight's time is greater than Claire's time.
D. Dwight's rate is slower than Claire's rate.
Answer: B
It would easily be made into an equation and it’s more simple
I NEED HELP ASAP! THANKS :)
Answer: A) stretched vertically by 2 and shifted up 6 units
Step-by-step explanation:
y = A log(Bx - C) + D where
A = vertical stretch by a factor of AB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up, negative = down)Given: f(x) = log x
g(x) = 2 log x + 6
→ A = 2 vertical stretch by a factor of 2
→ D = +6 vertical shift UP 6 units
Find the total surface area of this triangular prism
Answer :
T.S.A = 200 cm²
Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week?
9 + 40h
9 + h + 40
9h + 40
9 + 40
Answer:
9h+40
Step-by-step explanation:
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x number of hours or simply 9h.
So altogether, her original 40$ and her 9$ from every hour can be written together as 40 + 9h or 9h + 40.
(ps. this is my first answer, I apologise if Its not very detailed.)
The expressions best represent Jill's income for the week is 9h+40. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. The expression will be written as below:-
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x the number of hours or simply 9h.
Her original 40$ and her 9$ from every hour can be written together as below:-
40 + 9h or 9h + 40.
Therefore, the expressions best represent Jill's income for the week is 9h+40. The correct option is C.
To know more about expressions follow
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Which property can be used to expand the expression -2 (3/4x+7)?
Answer:
-3/2x-14
Step-by-step explanation:
-2 (3/4x+7)
(3/4x) (-2/1) = -6/4x= -3/2x
(-2) (7)=-14
FINAL ANSWER:
-3/2x-14
Try Multiplication
Answer:
Distributive Property of Multiplication
Step-by-step explanation:
To expand the given expression, we'll distribute "-2" to the rest of the two terms to get them multiplied.
Plant A: A graph has time (weeks) on the x-axis, and height (inches) on the y-axis. A line goes through points (0, 3), (1, 4.8), (2, 6.6), (3, 8.4). Plant B: A 2-column table with 3 rows. Column 1 is labeled Weeks with entries 2, 3, 4. Column 2 is labeled Height (inches) with entries 7.3, 8.7, 10.1. Simon claims that Plant B will be taller than Plant A in 6 weeks because it has the greater initial value. Is he correct? Yes. The plant with the greater initial value will continue to be taller. Yes. Plant B is 2.4 inches taller than Plant A at 6 weeks. No. The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks. No. The initial value of Plant A is greater.
Answer:
The correct option is;
No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks
Step-by-step explanation:
The parameters given are;
Plant A:
Weeks, Height
0, 3
1, 4.8
2, 6.6
3, 8.4
The rate of change of height, H per week, t,[tex]\left (\dfrac{dH}{dt} \right )[/tex] for plant A per week is therefore;
[tex]\dfrac{dH}{dt} = \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{8.4 - 3 }{3 - 0} = \dfrac{5.4}{3} = 1.8 \ inches/week[/tex]
Therefore we have;
H = 1.8 × t + 3
At week 6,
H = 3 + 6×1.8 = 13.8 inches
Plant B
Weeks, Height
2, 7.3
3, 8.7
4, 10.1
The rate of change of height, H per week, t,[tex]\left (\dfrac{dH}{dt} \right )[/tex] for plant B per week is given as follows;
[tex]\dfrac{dH}{dt} = \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{10.1 - 7.3 }{4 - 2} = \dfrac{2.8}{2} = 1.4 \ inches/week[/tex]
Therefore we have;
When t = 2, H = 7.3 hence, 7.3 = 2 × 1.4 + H₀
Where:
H₀ = H at t = 0
H₀ = 7.3 - 2 × 1.4 = 4.5
At week 6 we have;
H = 4.5 + 6×1.4 = 12.9 inches
Which indicates that Plant A will be 0.9 inches taller than Plant B at week 6.
The correct option is therefore;
No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.
Answer:
No. The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.
Step-by-step explanation:
Which of these points lie on the line described by the equation below? y-5=6(x-7) A. (-5,-7) B. (7,5) C. (-7,-5) D. (5,7)
Answer:
Step-by-step explanation:
Answer: (7,5)
Step-by-step explanation:
Multiply (4x-3)(4x - 3) *
O 16x^2 + 9
0 16x^2 - 24x + 9
O 16x^2-9
O 16x^2 -24x - 9
Plz help Geniuses
Answer:
16x^2 -24x +9
Step-by-step explanation:
4x x 4x = 16x^2
4x x -3 = -12x
4x x -3 = -12x
-3 x -3 = +9
When all values are put together, they will form:
16x^2 -12x -12x +9
Once simplified, the equation will be:
16^2 -24x +9
Answer:
16x^2 - 9
Step-by-step explanation:
It is possible to solve this without actually multiplying.
There is a rule: (a+b)(a-b) = a^2 - b^2
So, when this is applied here:
(4x-3) (4x + 3) = 16x^2 - 9
All you had to do was 4x^2 and 3^2
Hope this helps.
Hi can anyone help me with question 1 and 3
Answer:
292 and 2092
Step-by-step explanation:
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
Total : 240 + 600 + 90 = 730
So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292
Total: 292 + 1800 = 2092
The total cost of paint would be 2092 dollars.
The area of the cuboid is the sum of product of the length, breadth of the given prism.
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
The Total area: 240 + 600 + 90 = 730
So, The cost of painting = 730/25 x 10
= 29.2 x 10
= 292
Total: 292 + 1800 = 2092
Learn more about cuboid;
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75 + 13 + ?? = 140 i dont know what it is.
Answer:
52
Step-by-step explanation:
140 - 13 = 127
127 - 75 = 52
Check your work:
75 + 13 + 52
= 140
52
Step-by-step explanation:
75 + 13=88
140 - 88=52
75 + 13 + 52=140
hope it helps stay safe and have a good day =D
y = –3x – 5 The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
Answer:
C (–2, 1)
Step-by-step explanation:
It's C, because the question explained that the value of the input was -2. The input is the x coordinate and the output is the y coordinate. (x,y) (input,output).
Putting in the input, you get, (-2,y) ( y is the unknown y coordinate)
Since C is the only answer with -2 as the input, your answer is C
