we know that
The area of a circle is
\(A=\pi\cdot r^2\)we have
r=5 in
substitute
answer?
i been struggling crazy......................
Answer:
50
Step-by-step explanation:
25+25 whcih mdans this must be added to get 50 becuase 25 + 35 is 50
22/25of a number is what percentage of that number?
Answer:
88%.
Step-by-step explanation:
Multiply the fraction by 100:
(22/25) * 100
= 22 * 4
= 88%.
solve by completing the square method 3x²=15-4x
Answer:
Step-by-step explanation:
3x²=15-4x
divide by 3 on both sides
x²=5-\(\frac{4}{3}\)x
move everything to one side
x²+\(\frac{4}{3}\)x -5 = 0
add the square of 1/2 the middle term of \(\frac{4}{3}\) but also subtract it too
x²+\(\frac{4}{3}\)x +\(( \frac{2}{3} )^{2}\)-5-\(( \frac{2}{3} )^{2}\) = 0
now use the property of a perfect square to rewrite
\((x+\frac{2}{3}) ^{2}\) -5 -\(\frac{4}{9}\) = 0
rewrite 5 as a fraction
\((x+\frac{2}{3}) ^{2}\) - \(\frac{45}{9}\)- \(\frac{4}{9}\) = 0
add up the fractions
\((x+\frac{2}{3}) ^{2}\) - \(\frac{49}{9}\) = 0
move to the other side
\((x+\frac{2}{3}) ^{2}\) = \(\frac{49}{9}\)
take the square root of both sides :P
\(\sqrt{((x+\frac{2}{3}) ^{2} }\) = \(\sqrt{\frac{49}{9} }\)
much easier looking now, just use algebra to solve for x
x + \(\frac{2}{3}\) = \(\frac{7}{3}\)
subtract \(\frac{2}{3}\) from both sides
x + \(\frac{2}{3}\) - \(\frac{2}{3}\) = \(\frac{7}{3}\) - \(\frac{2}{3}\)
x = \(\frac{5}{3}\)
:)
Answer:
x = - 3, x = \(\frac{5}{3}\)
Step-by-step explanation:
Given
3x² =15 - 4x ( add 4x to both sides )
3x² + 4x = 15 ← factor out 3 from each term on the left side
3(x² + \(\frac{4}{3}\) x) = 15
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + \(\frac{4}{3}\) x
3(x² + 2(\(\frac{2}{3}\) )x + \(\frac{4}{9}\) - \(\frac{4}{9}\) ) = 15
3(x + \(\frac{2}{3}\) )² - \(\frac{4}{3}\) = 15 ( add \(\frac{4}{3}\) to both sides )
3(x + \(\frac{2}{3}\) )² = 15 + \(\frac{4}{3}\) = \(\frac{49}{3}\) ( divide both sides by 3 )
(x + \(\frac{2}{3}\) )² = \(\frac{49}{9}\) ( take the square root of both sides )
x + \(\frac{2}{3}\) = ± \(\sqrt{\frac{49}{9} }\) = ± \(\frac{7}{3}\) ( subtract \(\frac{2}{3}\) from both sides )
x = - \(\frac{2}{3}\) ± \(\frac{7}{3}\), then
x = - \(\frac{2}{3}\) - \(\frac{7}{3}\) = - 3
x = - \(\frac{2}{3}\) + \(\frac{7}{3}\) = \(\frac{5}{3}\)
What is the expanded form of 10.63?
Answer:
10+0.60+0.03
Step-by-step explanation:
simple
Hey there!
Note; When you see the phrase “expanded form” think of the SUM (addition) formation of a given which writes as it is added with the given which makes it an single value when it is multiplied by the place value
Now that we have that note/fact out of the way we have answer your question!
Answer: 10 + 0 + 0.6 + 0.03 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
I have a rectangular figure. I enlarge the rectangle so that each dimension is 9 times its original dimension.
Which statement about the areas of the pictures is true?
A. The area of the enlarged rectangle is 9 times the area of the original
B. The area of the enlarged rectangle is 81 times the area of the original.
determine the 2nd and 3rd terms of a geometric sequence of which T1 =5 and T4=40
Answer:
Second term of this sequence: \(10\).
Third term of this sequence: \(20\).
Step-by-step explanation:
The first step is to find the common ratio of this sequence.
In a geometric sequence, multiply one term by the common ratio to find an expression for the next term. Let \(r\) denote the common ratio of this sequence. For this sequence:
The first term of this sequence is \(5\). Multiply the first term by the common ratio to find an expression for the third term: \(5\, r\).Multiply the second term by the common ratio to find an expression for the fourth term: \(5\, r^{2}\).Similarly, an expression for the the fourth term would be: \(5\, r^{3}\).However, the question states that the value of the fourth term is \(40\). In other words, \(5\, r^{3} = 40\).
Solve this equation for \(r\):
\(r^{3} = 8\).
\(r = 2\).
(Since the power of \(r\) is non-even in the equation, there's no need to consider the sign of \(r\!\) when taking the cube root.)
Substitute \(r = 2\) into the expression for the second term and the third term to find their values:
Second term: \(5\, r = 10\).Third term: \(5\, r^{2} = 20\).The lengths of the sides of a triangle are 12,6 V3 and 6. Classify this triangle,
A)
right, scalene triangle
B)
acute, scalene triangle
o
obtuse, scalene triangle
D)
right, isosceles triangle
Answer:
right,scalene triangle
HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST
Since 1.2 is positive whereas all other are negative. So, the order will be:
1.2 > -1.6 > - 1.7 > -1.71
What are Decimals?A decimal numeral is a broad term for a number's notation using the decimal numeral system. Sometimes a decimal separator is used to identify decimals. Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Term "terminating decimals" refers to decimal numerals in this context that have a predetermined number of non-zero digits following the decimal separator. An infinite decimal that, after a certain point, repeats the same digit sequence endlessly is said to be repeating. If and only if it has a finite number of non-zero digits or is a repeating decimal, an infinite decimal can be used to represent a rational number, the product of two integers.Therefore,
-8/5 = -1.6 …............ Number 3
-1.7 …............ Number 2
-30/-25 = 6/5 = 1.2 …............ Number 4
-1.71 .................. Number 1
Since 1.2 is positive whereas all other are negative.
So, the order will be:
1.2 > -1.6 > - 1.7 > -1.71
To learn more about Decimals, refer to:
https://brainly.com/question/548650
#SPJ13
Find the limit of the difference quotients for f(x) = x2+2x+1 if a= -1
The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.
To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:
lim(x→-1) [f(x) - f(-1)] / (x - (-1))
First, let's substitute the values into the expression:
lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)
Simplifying further:
lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)
lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)
lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)
Now, we can directly substitute x = -1 into the expression:
\((-1^2 + 2(-1) + 1) / (-1 + 1)\)
(1 - 2 + 1) / (0)
0 / 0
We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.
For more such information on: quotients
https://brainly.com/question/11418015
#SPJ8
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
Learn more about mathematical operations at https://brainly.com/question/4721701.
#SPJ1
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
By using the concept of circle, it can be concluded that-
Center = (1, 0) lies on x axis
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is a circle?
Circle is a two dimensional round figure in which every point on the circle maintains a fixed distance from a point known as the center of the circle and the fixed distance is called radius of the circle
The equation of circle is
\(x^2 + y^2 - 2x - 8 = 0.\)
\(x^2 - 2x + 1 - 1-8+y^2 =0\\(x -1)^2 + y^2 = 9\\(x - 1)^2 + y^2 = 3^2\)
Center = (1, 0) lies on x axis
Radius of the given circle is 3 units
Radius of x² + y² = 9 is 3
So, the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
To learn more about circle, refer to the link-
https://brainly.com/question/24375372
#SPJ1
Two pages that face each other in a book have 97 as the sum
What are the page numbers? (Define a variable, create an equation, solve using
algebra, and answer in a sentence.
Answer:
The two pages that face each other that have a sum of 97 are 48 and 49.
Step-by-step explanation:
Formula for consecutive integers
Page 1 = (n + 1), Page 2 = (n + 2)
(n + 1) + (n + 2) = 97
2n + 3 = 97
2n = 97 - 3
2n/2 = 94/2
n = 47
(n + 1) = 47 + 1 = 48
(n + 2) = 47 +2 = 49
48 + 49 = 97
A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.
Find an explicit formula for the arithmetic sequence -5,13,31,49...
b(n)=__
Given:
Arithmetic sequence -5, 13, 31, 49..........
We are to find the explicit formula of the sequence above. An explicit formula provides a binding formula for finding nth term.
To find the formula, we need to know the first term and the common difference.
The common difference is the difference between each successive terms of the sequence.
In the given sequence, the common difference is 18;
13-(-5) = 18
31 - 13 = 18
49 - 31 = 18
n calculation of the nth term
1 -5 -5 + 18(0) = -5
2 13 -5 + 18(1) = 13
3 31 -5 + 18(2) = 31
4 49 -5 + 18(3) = 49
Since the common difference is 18, we can now derive the formula;
b(n) = -5 + 18(n-1)
n is the position of the term
Any number in the sequence can be derived using the explicit formula
-5 + 18(n-1)
which expression is equivalent to g^2/3h
The given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\)as we have multiplied 8 in both numerator and denominator.
The given expression is \(g^2/3h\).
Now, to further simplify the expression, we can multiply both numerator and denominator by 8. This gives us:
\((g^2/3h) * (8/8)\)
Simplifying further, we get:
\((8g^2)/(24h)\)
Therefore, the expression equivalent to \(g^2/3h\) is \((8g^2)/(24h)\).
Thus, the given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\) as we have multiplied 8 in both numerator and denominator.
The numerator is the top part of a fraction, which represents the number of equal parts being considered. It is the value that is above the fraction bar and represents the quantity being divided into equal parts.
Learn more about denominator :
https://brainly.com/question/7067665
#SPJ1
The complete question is :
Which expression is equivalent to \(g^2/3h\)?
Click on the correct answer.
(A) \(g^2+5/3h+5\)
(B) \(6g^2/15h\)
(C) \(8g^2/24h\)
For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)Learn more about graph here:
https://brainly.com/question/30980145
#SPJ1
What is the equation of the line that passes through (-3,-1) and has a slope of 3/5? Put your answer in slope-intercept form.
a) y= 3/5 x + 4/5 b) y= 3/5 x- 4/5 c) y= -3/5 x - 4/5
Answer:
y = 3/5x + 4/5 (1st Option)
Step-by-step explanation:
Step 1: Write known variables
m = 3/5
y = 3/5x + b
Step 2: Find b
-1 = 3/5(-3) + b
-1 = -9/5 + b
b = 4/5
Step 3: Rewrite equation
y = 3/5x + 4/5
Answer:
in short it's y = 3/5x + 4/5
good luck!
-Rainbow Dash
Look at the graph below. Is it a function or not a function? Explain your reasoning.
Please help will give brainliest
What is the slope-intercept equation
for the following line?
y = [?]x + [1]
Answer:
y = 4x - 3
Hope this helps!
evaluate 10.3v + 9.9w when v = 7 and w = 8.10.3(__) + 9.9(__) = __ + 79.2 = __please help me
Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.
Using a line of best fit with the equation y = -3x + 21 to predict the value of y when x = 10 is an example of Choose...
causation
interpolation
extrapolation
correlation
Answer:
Step-by-step explanation:
D
Suppose f(x) = 8x^4-5x^3-2x^2+6x+5. If the graph of y= f(x) is reflected horizontally over the y-axis, the result is the graph of y= g(x). Write a formula for g(x).
The formula of the graph of f(x) = 8x⁴-5x³-2x²+6x+5 is reflected across the y-axis as g(x) = 8x⁴ + 5x³- 2x²-6x + 5 .
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is a reflection across the y-axis?Reflection across the y-axis is defined as reflecting a point across they = x, the x-coordinate, and y-coordinate places, the line y = -x is the coordinates (-x, y).
So reflected across the y-axis: f(x) → f(-x),
⇒ (x,y) → (-x , y)
We have to determine the equation of the graph of f(x) = 8x⁴-5x³-2x²+6x+5 is reflected across the y-axis.
Since reflected across the y-axis: f(x) → f(-x), So substitute the value x = -x
⇒ f(-x) = 8(-x)⁴-5(-x)³-2(-x)²+6(-x)+5
⇒ f(-x) = 8x⁴ + 5x³- 2x²-6x + 5 = g(x)
Hence, the equation of the graph of f(x) = 8x⁴-5x³-2x²+6x+5 is reflected across the y-axis as g(x) = 8x⁴ + 5x³- 2x²-6x + 5 .
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ1
A rectangular shop in the mall is 10 meters long and 8 meters wide. What is it’s area?
Answer:
80 meters
Step-by-step explanation:
to find the area multiply length by width
The melting/freezing point of mercury is –39ºC. A scientist put liquid mercury into a freezer that is kept at a constant temperature of –35ºC. Will the liquid mercury freeze?
Answer:
The mercury will not freeze because the freezer is warmer than the freezing point of mercury.
Step-by-step explanation:
A "freezing point" is a point that allows a liquid to solidify. This is lower than the melting point (of course). However, specific liquids freeze at varying freezing points.
For example, the freezing point of water is 0°C while the freezing point of Mercury is -39°C. This means that water will only freeze once it reaches a temperature of 0°C or lower than this. Same goes for Mercury–it needs to reach the temperature of -39°C or lower in order to freeze.
Drag each number to the correct location on the statement. Not all numbers will be used. Consider the sequence below. -34, -21, -8, 5, ...
Complete the recursively defined function to describe this sequence.
34
-21
-13
15
13
-34
f(1) = [ ]
f(n) = f(n-1) + [ ]for n = 2, 3, 4, ...
The sequence of the function is -34,-34 -8
Define common differenceIn mathematics, the common difference is a term used in arithmetic sequences to refer to the fixed difference between any two consecutive terms in the sequence.
An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed value, called the common difference, to the preceding term.
-34 -21 -8 5 ...
f(1) = -34
f(n) = f(n-1) + [n-2]*13 for n = 2, 3, 4, ...
The common difference between consecutive terms of the sequence is 13.
The first term of the sequence is -34, which is f(1).
To get the nth term of the sequence, we add (n-2)*13 to the (n-1)th term of the sequence.
For example, to get the 2nd term of the sequence, we add (2-2)*13 = 0 to the 1st term, -34, which gives us -34.
To get the 3rd term, we add (3-2)*13 = 13 to the 2nd term, which gives us -21+13 = -8.
To know more about consecutive, visit:
https://brainly.com/question/1769190
#SPJ1
find the sum to infinity
Answer:
-7/27
Step-by-step explanation:
-14/54
Hope this helped :)
Rewrite the function by completing the square.
h (x)=x^2+3x−18
Answer: (x+6)(x-3)
Step-by-step explanation:
y=x^2+3x-18
(x+6)(x-3 )
The following three shapes are based only on squares, semi circles, and quarter circles. Find the perimeter in the area of each shaded part
Answer: 46.26
Step-by-step explanation:
Since it is a square the sides are all the same, and since it’s a half circle, the dashed line is the diameter of the circle. To find the circumference on a circle, the equation is diameter times pi. 3.14 is commonly used for pi which is what I’m using 3.14, but of you are told to use a different number use that. 9*3.14 is 28.26. Since ther are exactly two half circles in the diameter, here’s no point in dividing by 2. The rest of the perimeter are just 2 sides of the square. So 9+9+28.26 is 46.26.
Which line segments have a positive slope PLS FAST!! THANKS!!
Z is the centroid of UVW
Z is the intersection of the triangle's ______
A. Medians
B. altitudes
C. angle bisectors
D. perpendicular bisectors
Answer: A
Step-by-step explanation:
The intersection point of the medians of a triangle is defined to be the centroid.
The solution is Option A.
The centroid of the triangle UVW is the intersection of the medians of the triangles
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as UVW
Now , the median of the triangle from U is given by
The measure of WY = The measure of YV
The median of the triangle from W is given by
The measure of UX = The measure of XV
And , the point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians
So , median is a line that joins the midpoint of a side and the opposite vertex of the triangle
Hence , the point Z is the intersection of the triangle's medians
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ2