Answers
Answer:
24.99 cm
Step-by-step explanation:
We are provided with the radius of the circle so we can use that to solve for the circumference(perimeter) of the circle. The formula to solve for the circumference is 2*pi*r.
2*pi*7 = 14pi = 43.98 cm
Although this is the circumference of the entire circle... To solve for the circumference of a quarter-circle we must find the quarter of that:
43.98 * 1/4 = 10.99 cm
We are already provided with the other two sides, which are both equal to 7 cm since they are radii.
Perimeter = 10.99 +7 + 7 = 24.99 cm
Hope this helps!
Related Questions
The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.
5x2 + 27x = 14 − 13x
5x2 + 40x = 14
5(x2 + 8x) = 14
Which is the best step to do next to solve the equation by completing the square?
Answers
Answer:
Step-by-step explanation:
Give the equation 5x² + 27x = 14 − 13x, we are to write the steps needed to solve for x using the completing the square method.
Step 1: Rewrite the equation in a quadratic form by first adding 13x to both sides of the equation.
5x² + 27x +13x= 14 − 13x+13x
5x² + 40x = 14
Step 2: factor out the common constant in the left hand side of the equation.
5(x²+8x) = 14
Step3: The next step to take is to divide through by the the value of 5 to have;
5(x²+8x)/5 = 14/5
x²+8x = 14/5
Step 4: complete the square of the equation at the left hand side by adding the square of half of the coefficient of x to both sides i.e {1/2(8)}² which is 4²
x²+8x +4² = 14/5+4²
x²+8x +16 = 14/5+16
(x+4)² = 94/5
Step 5: Taking the square root of both sides
√(x+4)² = ±√94/5
x+4 = ±√94/5
Step 6: subtract 4 from both sides
x+4-4 = ±√94/5 - 4
x = ±√94/5 - 4
Hence the solution to the equation using completing the square method is x = -4±√94/5
Answer:
5(x2 + 8x + 16) = 94
Step-by-step explanation:
Factorise: 5 x cube + 10 x square + 15 x
Answers
Answer:
5x( x^2 + 2x +3)
Step-by-step explanation:
5x^3 + 10x^2 + 15x
What is common to all three terms
5 xxx + 5*2*xx + 5*3*x
We can factor out 5x
5x( x^2 + 2x +3)
Inside the parentheses cannot be factored so we are done
Answer:
5x ( x^2 + 2x +3 )
Step-by-step explanation:
First we hv to take the common terms out from all the three terms...
So......
If we take 5x from 5x^3 it will bcm x^2
If we take 5x from 10^2 it will bcm 2x
if we take 5x from 15x^2 it will bcm 3
Therefore the final expression will bcm
5x ( x^2 + 2x +3 )
Hope this helps.....
Stuart needs to run by the store on his way to school. He begins at home, which on a coordinate plane is represented by the point (0,4). He walks to the store, which is the equivalent of walking 2 units right and 4 units down. After grabbing something to eat for lunch, he walks 3 units to the left and 5 units up to school. What point represents the school
Answers
ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z= x-y.
Answers
Answer:
D. 20
Step-by-step explanation:
since the given shape is a parallelogram the parallel sides' length must be equal:
2x-10 = x+30
2x-x = 30+10
x = 40
2y-10 = y+10
2y-y = 10+10
y = 20
since z = x - y
z = 40-20
z = 20
Determine algebraically whether f(x) = x2(x2 + 9)(x3 + 2x) is even or odd.
Answers
Answer:
[tex]f(x) = x^{2}\cdot (x^{2}+9)\cdot (x^{3}+2\cdot x)[/tex] is an odd function.
Step-by-step explanation:
Let be [tex]f(x) = x^{2}\cdot (x^{2}+9)\cdot (x^{3}+2\cdot x)[/tex], by Algebra this expression can be rewritten as:
[tex]f(x) = x^{3}\cdot (x^{2}+9)\cdot (x^{2}+2)[/tex]
Where [tex]x^{2} + 9[/tex] and [tex]x^{2}+ 2[/tex] are even functions, because they satisfy the condition that [tex]g(x) = g(-x)[/tex], whereas [tex]x^{3}[/tex] is an odd function, as the condition of [tex]h(-x) = - h(x)[/tex] is observed. Then, the overall function is odd.
I need help ASAP!!! Please explain your answer
Answers
Answer:
below
Step-by-step explanation:
Use the formula πr^2h to find volume of a cylinder
= π(11)^2(12)
= 4561.59253...
Rounding to the nearest 10th
= 4561.6 mi^3
Hope this helps!
Answer:
Step-by-step explanation:
Volume = pi * r^2 * h
r = 11
h = 12
Volume = pi * 11^2 * 12
Volume = 3.14 * 121 * 12
Volume = 4501.2 mi^3
What is the formula for a^3-b^3??
Answers
Answer:
[tex]\boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
The difference of two cubes formula is given as:
[tex]a^3-b^3 =(a-b)(a^2 +ab+b^2)[/tex]
Step-by-step explanation:
[tex] {(a - b)}^{3} = {(a - b)}^{2} (a - b)[/tex]
[tex] {a}^{3} - 3{a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{2} (a - b)[/tex]
[tex] {a}^{3} - {b}^{3} + 3ab(a - b)= {(a - b)}^{2} (a - b)[/tex]
[tex] {a}^{3} - {b}^{3}= {(a - b)}^{2} (a - b) + 3ab(a - b)[/tex]
[tex] {a}^{3} - {b}^{3} = (a - b)(( {a}^{2} - 2ab + {b}^{2} ) - 3ab)[/tex]
[tex] {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )[/tex]
given graph of the function F(x) below, what happens to F(x) when x is a very large positive number?
Answers
Answer:
C
Step-by-step explanation:
What would your position on the circle (cos q, sin q) be after rotating 72degrees from the point (1,0)?
A=(.97, .25)
B=(.31, .95)
C=(.95, .31)
D=(.25, .97)
Answers
Answer:
B=(.31, .95)
Step-by-step explanation:
When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).
So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)
Write the equation of the line in slope-intercept form with a slope of 5/6 and passes through the point (0, -6).
Answers
Answer:
y=(5/6)x-6
Step-by-step explanation:
The slope intercept form of a line is y=mx+c. The equation of the line will be y=(5/6)x-6
A finite geometric series is the sum of a sequence of numbers. Take the sequence 1, 2, 4, 8, … , for example. Notice that each number is twice the value of the previous number. So, a number in the sequence can be represented by the function f(n) = 2n–1. One way to write the sum of the sequence through the 5th number in the sequence is ∑5n-12n-1. This equation can also be written as S5 = 20 + 21 + 22 + 23 + 24. If we multiply this equation by 2, the equation becomes 2(S5) = 21 + 22 + 23 + 24 + 25. What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the form ∑an-1bn-1?
Answers
hope this helps you alot
A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 43 cables and apply weights to each of them until they break. The 43 cables have a mean breaking weight of 774.3 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 90% confidence interval to estimate the mean breaking weight for this type cable.
Answers
Answer:
At 90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)
Step-by-step explanation:
Given that:
sample size n =43
sample mean x = 774.3
standard deviation = 15.4
confidence interval = 90%
At C.I of 90% , the level of significance ∝ = 1 - C.I
the level of significance ∝ = 1 - 0.90
the level of significance ∝ = 0.10
The critical value for z at this level of significance is [tex]z_{\alpha/2} = z_{0.10/2}[/tex]
[tex]z_{0.05}[/tex] = 1.64
The margin of error can be computed as follows:
Margin of error = [tex]\mathtt{z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{6.5574}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times2.3485}[/tex]
Margin of error = 3.8515
The mean breaking weight for the 90% confidence interval is = [tex]\mathtt{\overline x \pm E < \mu }[/tex]
= [tex]\mathtt{\overline x - E < \mu < \overline x + E}[/tex]
= ( 774.3 - 3.8515 < μ < 774.3 + 3.8515 )
= (770.4485, 778.1515)
[tex]\simeq[/tex] (770.45, 778.15)
A line of 8cm was measured as 8.04cm what is the percentage error
Answers
Answer:
0.5% error
Step-by-step explanation:
We can use the percentage error formula, which is
[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].
We know that the approximated value was 8.04, however it is actually 8cm, so we can substitute inside the equation.
[tex]\frac{|8.04 - 8|}{8}\cdot100 \\\\\frac{0.04}{8}\cdot100 \\\\0.005\cdot100 \\\\0.5[/tex]
Hope this helped!
Covert the verbal expression into an algebraic expression.
Two more than five times a number x.
Answers
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
"Two more than five times a number x." means:
2 + 5 × x
exercise 20.1.1 factorize the following expression (a)6x+3 how to solve it
Answers
Step-by-step explanation:
3(2x+1) in this factorize 4 is common .so the answer is 3(2x+1)
Write an equation that represents the statement "the
product of a number, x, and the number 7 is 42."
Answers
Answer:
7x = 42
Step-by-step explanation:
"Product" refers to multiplication and "is" refers to equal to.
Hi! I'm happy to help!
This equation will be written like this
x×7=42
To make this easier to solve, we can use the inverse operation, division.
42÷7=x
42 divided by 7 is 6, so the answer is 6.
I hope this was helpful, keep learning! :D
in the equation z=x^2-3y, find the value of z when x=-3 and y=4
Answers
Answer:
z=-3
Step-by-step explanation:
z=(-3)^2 - 3(4)
z=9 - 12
z=-3
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3). HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other
Answers
Answer: HIJK is a parallelogram because the midpoint of both diagonals is (1,0) , which means the diagonals bisect each other.
Step-by-step explanation:
Given: The coordinates of parallelogram H I J K as
H is at (- 2, 2), point I is at (4, 3), point J is at (4, - 2), and point K is at (- 2, - 3).
Diagonals : HJ and IK [join opposite vertices]
Mid point of HJ = [tex](\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
[tex]=(\dfrac{-2+4}{2},\dfrac{2+(-2)}{2})=(1,0)[/tex]
i.e. Mid point of HJ = (1,0)
Mid point of IK = [tex](\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
[tex]=(\dfrac{4+(-2)}{2},\dfrac{3+(-3)}{2})=(1,0)[/tex]
i.e. Mid point of IK = (1,0) =Mid point of HJ
When mid points of both diagonals are equal then that means the diagonals bisect each other.
Thus, HIJK is a parallelogram because the midpoint of both diagonals is (1,0) , which means the diagonals bisect each other.
Answer:
(1,0)
Step-by-step explanation:
PLEASE HELP 100 POINTS The correlation coefficient for poor hearing and loud music in a group of people is 0.67. Analyze the following statement: Poor hearing is caused by listening to loud music. Is this a reasonable conclusion?
Yes; everyone who listens to loud music has hearing trouble.
Yes; the correlation coefficient is above 0.5, so that implies causation.
No; the data does not suggest causation, and many people who listen to loud music can hear well.
No; poor hearing and listening to loud music are completely unrelated.
Answers
i believe this is the answer. hope this helps!
No; the date does not suggest causation, and many people who listen to loud music can hear well.
The following information should be considered:
The poor hearing should be arise by listening for loud mousic. So the date should not be recommended and various people should be listen loud music.Learn more: https://brainly.com/question/10309631?referrer=searchResults
Find the 20th term of the following sequence. -6, -4, -2, 0
Answers
Answer:
32.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 = -6 and common difference 2.
an = a1 + d(n - 1)
a20 = -6 + 2(20-1) = 32
To celebrate the first day of a leap year, I taught my dog to jump through a hoop. It was a Sunday. When he taught me the same trick the first day of the next year, it was a ?
Answers
Answer:
Tuesday
Step-by-step explanation:
364/7 = 52, meaning that 364 days later will also be a Sunday. 2 days after that (366 as it is a leap year) would be a Tuesday.
There will be Tuesday when the dog jumps the next year.
What is the reasoning?the process of applying logical reasoning to examine a situation in order to identify the optimal strategy for solving a specific problem, then using this approach to develop and justify a solution.
Reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.
Since when the dog jumped it was Sunday
Next Sunday will be at
364/7 = 52
So, after 52 weeks or 364 days, there will be next Sunday.
Since leap year is 366 days years
366 - 364 = 2
So, two days after Sunday is Tuesday.
Hence the day after next year when the dog jump will be Tuesday.
For more about reasoning,
https://brainly.com/question/2923977
#SPJ2
Find the measure of the missing angles.
100°
b =
C=
Answers
Answer:
<b = 80
<c = 80
Step-by-step explanation:
<b and 100 form a straight line so they add to 180
<b +100 =180
<b = 180-100
<b = 80
angles b and c are vertical angles and vertical angles are equal
<c = <b = 80
5 more than 2 times a number
Answers
Answer:
5+ 2x
Step-by-step explanation:
lets say x is our variable therefore you will multiply 2 to x and then it says 5 more the key word is more therefore you add 5 to your equation
Find the value of x for which the lines a and bare parallel.
Answers
Answer:
B
Step-by-step explanation:
The two angles are alternate interior angles. The have to be equal.
7x + 15 = 148 Subtract 15 from both sides
7x = 148 - 15
7x = 133 Divide by 7
x = 133/7
x = 19
B
Where can parentheses be placed in the expression so that it has a value of 26? 4+2 ⋅ 14−3
Answers
Answer: 4+2 x (14-3)
Step-by-step explanation:
1. Which monomial has the same degree as 6a2b8c? A 18t8 B 12p6q5 C 9a5b3c2 D 6w4x2y3z3
Answers
Answer: "B. [tex]12p^6q^5[/tex]
Step-by-step explanation:
The given monomial : [tex]6a^2b^8c[/tex]
Degree of this monomial = Sum of powers of variables=2+8+1= 11
Let's check all the options
A [tex]18t^8[/tex]
Degree = 8
B [tex]12p^6q^5[/tex]
Degree = 6+5 =11
C [tex]9a^5b^3c^2[/tex]
Degree = 5+3+2=10
D [tex]6w^4x^2y^3z^3[/tex]
Degree =4+2+3+3=12
We can see that only option B has degree 11.
So, the monomial has the same degree as [tex]6a^2b^8c[/tex] is "B. [tex]12p^6q^5[/tex] "
3kg of rump steak costs £42 adel buys 4kg of rump steak work out how much adel pays
Answers
Answer:
The answer is £ 56Step-by-step explanation:
In order to find the amount Adel paid we use ratio and proportion
3kg of rump steak = £ 42
Therefore
4kg of rump steak = [tex] \frac{4 \times 42}{3} [/tex]
We have the final answer as
£ 56Hope this helps you
Answer:
£56
Step-by-step explanation:
since 3kg costs £42
1kg will be £42/3 which will be equal to £14
4kg will cost £14×4 which will be £56
You write (5-2)÷n to represent the phrase 2 less than 5 divided by a number n. Your friend writes (5÷n)-2. Are these both reasonable interpretations? Can verbal descriptions lack precision? Explain
Answers
jhnskkakskjsmznznsnjismkznms
The correct representation is (5-2)÷n
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Expression Definition in Math
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.According to the question
2 less than 5 = 5-2
then the answer must be divided by n
=( 5-2)/n
Hence, the correct representation is (5-2)÷n.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
there were 13 original states. there are now 50 . what fraction of the states are the original states
Answers
Answer:
13/50
Step-by-step explanation:
#of original states/# of states now
The fraction of the states are original states is [tex]\frac{13}{50}[/tex].
What is fraction?A numerical value that expresses a part of a whole is called a fraction.
According to the given question.
Number of original states before = 13
Number of original states now = 50
Therefore, the fraction of original states
= number of original states before/ number of original states now
=[tex]\frac{13}{50}[/tex]
Hence, the fraction of the states are original states is [tex]\frac{13}{50}[/tex].
Find out more information about fraction here:
https://brainly.com/question/10354322
#SPJ3
A) Ali travelled 40 kilometers in his car and it took him 50 minutes to complete the journey. How long will it take if he had to travel 100 kilometers in the same car?
Answers
Answer:
2 hours and 5 minutes
Step-by-step explanation:
50/40=1.25 km/m
100*1.25=125 minutes
125 minutes= 2.08 hours= 2 hours and 5 minutes