Answer:
\( \boxed{ \tt{d = \sqrt{D^{2} -\frac{4A}{\pi}} }}\)
Step-by-step explanation:
\(if \: A=\frac{\pi *D^{2} }{4} - \frac{\pi *d^{2} }{4} \\ then \to \\ A = \frac{\pi}{4} (D^{2} - {d}^{2} ) \\ (D^{2} - {d}^{2} ) \pi = 4A \\ D^{2} - {d}^{2} = \frac{4A}{\pi} \\ {d}^{2} = D^{2} -\frac{4A}{\pi} \\ d = \sqrt{D^{2} -\frac{4A}{\pi}} \)
Answer:
\(\boxed{\text{\Large \sqrt{-1.27324A+D^2}$}}\)
Step-by-step explanation:
\(\displaystyle A=\frac{\pi \times D^2}{4} - \frac{\pi \times d^2}{4}\)
\(\displaystyle A=0.785398D^2 - 0.785398d^2\)
Solve for d
\(\displaystyle A-0.785398D^2= - 0.785398d^2\)
\(\displaystyle \frac{A-0.785398D^2}{- 0.785398} = d^2\)
\(-1.27324A+D^2=d^2\)
\(\displaystyle \sqrt{-1.27324A+D^2} =d\)
Which of the following is another way to label Plane J?
Select one: Plane h Plane
ABD Plane EFG Plane ADF
Check
Plane ADF is another way to label Plane J.
In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.
These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.
Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.
Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.
Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.
Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.
Therefore, Plane ADF is another way to label Plane J.
For more such questions on label Plane
https://brainly.com/question/17512548
#SPJ8
f(3)=
Slove f(×)=3
×=
The solution for f(3) in the function is -7772
How to determine the solution for f(x) in the function?From the question, we have the following equation that can be used in our computation:
f(x) = 4 − (x + 3)⁵
Also from the question, we have
f(3)
This means that the value of x is 3, and we calculate f(x) when x = 3
Substitute the known values in the above equation, so, we have the following representation
f(3) = 4 − (3 + 3)⁵
Evaluate
f(3) = −7772
Hence, the solution is −7772
Read more about functions at
brainly.com/question/28277110
#SPJ1
Complete question
Given f ( x ) = 4 − ( x + 3 )^5, find f(3).
An avid golfer goes to the driving range to practice with her favorite golf club. In a random sample of 33 swings, she hits the ball, on average, 185 yards with a standard deviation of 16.7 yards. Which of the following correctly interprets the 99% confidence interval for the true mean number of yards she hits the ball with this club?
99% of all balls she hits with this club will lie between the values in the interval.
In repeated sampling, 99% of the time the true mean number of yards the ball is hit with this club is 185.
This golfer can be 99% confident that the constructed interval captures the true mean number of yards a ball will travel when hit with this club.
In repeated sampling, 99% of the time the true mean number of yards the ball will travel when she hits with this club will be captured in the constructed interval.
Answer:
99% of all balls she hits with this club will lie between the values in the interval.
Step-by-step explanation:
Edge 2022
1) Let A = {x,y,z}. Give a function f : A → A which is neither constant nor the identity function 1A. (2) Give a function g : R → {−1,0,1} which is not constant. (3) Give a function h : Q → Z whose image is Z.
Step-by-step explanation:
and go outside take fresh air you breathe you get answers constrate answer
Write an equation passing through the point (-3,1) that is parallel to y=2x+5
Answer:
Step-by-step explanation:
y - 1 = 2(x + 3)
y - 1 = 2x + 6
y= 2x + 7
A linear equation is a(n) _____ because the greatest degree of the variable is 1.
Linear equation: If the maximum power of the variable/symbol in an equation is one, then the equation is called a linear equation.
An example of a linear equation is x + y = 10.
Definition of Degree: The maximum power in an equation of variable is known as a degree.
So, the degree of a linear equation is 1.
Linear equations are equations based on the first order. The linear equations are explained for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e., only one variable), then it is known as a linear equation in 1 variable.
If a linear equation can have more than one variable. If the linear equation has two or more two variables, then it is called a linear equation with two variables, and so on.
To know more about Linear Equations:
https://brainly.com/question/19770987
#SPJ4
∎=32÷4 answer plss. hsvhrxkfhgt
Answer:
hi
Step-by-step explanation:
32÷4=8
check it like this-
8×4 is 32
have a nice day
Answer:
8
Step-by-step explanation:
8*4=32
or
8+8+8+8=32
d. You are running a 4500-foot race. How much farther
do you have to go after running 2000 feet?
Expression:
Answer:
2500 feet
Step-by-step explanation:
4500 minus 2000 = 2500
Sort the angles as acute, right, obtuse, or straight.
The top angle is right (90 degrees, kinda looks like a bent elbow).
The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).
The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).
4th is acute.
5th is straight because it's a straight line.
6th is also obtuse.
Have a good day :)
Raj is travelling to another country.
He flies for 5 hours at an average speed of 950 km/h on one plane.
He then flies for 6 hours 30 minutes at an average speed of 830 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
10145
Step-by-step explanation:
5 times 950 equals 4750
and 6.5 times 830 equals 5395
add first and second value
4750 + 5395 equals 10145
there is no arguing
Answer:
10145 km
Step-by-step explanation:
Time x speed = Distance
5 x 950 = 4750
6.5 x 830 = 5395
add together = 10145
The table shows the values of a function f(x).
What is the average rate of change of f(x) from 1 to 1?
X
-3
-2
-1
0
1
2
f(x)
-3
-1
3
11
27
59
the average rate of change of f(x) from 1 to 1 is: (0) / (1 - 1) = 0
Why it is?
To find the average rate of change of f(x) from 1 to 1, we need to calculate the difference in f(x) between x = 1 and x = 1, and divide by the difference in x, which is 0.
The difference in f(x) between x = 1 and x = 1 is:
f(1) - f(1) = 5 - 5 = 0
Therefore, the average rate of change of f(x) from 1 to 1 is:
(0) / (1 - 1) = 0
Note that the denominator is zero, which means the function has no average rate of change from 1 to 1. This is because the interval between 1 and 1 has zero length, and therefore there is no change in the function over this interval.
To know more about Average related question visit:
https://brainly.com/question/24057012
#SPJ1
Candace is flipping a coin a certain number of times. The theoretical probability of her flipping tails on all flips is 1/32 . How many times is she flipping the coin?
Answer:
Cadence is flipping her coin 32 times
Step-by-step explanation:
So the fraction is 1/32 which means 32 is the number of times the coin was flipped.
30 points!
Evaluate the following expression if B = 114
1/2B + 58 x 2
Step-by-step explanation:
1/2(114)+(58*2)
1/228+(116)
1/228+116/1=
26676/228=117
Factor −5x2 + 10x.
PLS HURRY NEED THIS DUE TODAY
Answer:
C. 5x(-x + 2)
Step-by-step explanation:
To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.
Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.
Both terms have the common factor of 5x, so we can factor out 5x:
5x(-x + 2)
Therefore, the factored form of -5x² + 10x is -5x(x - 2).
\(\hrulefill\)
Additional notes:
If we expand the expressions in the given answer options, we get:
A. −5x(x + 2) = -5x² - 10x
B. 5(−x² + 10x) = -5x² + 50x
C. 5x(−x + 2) = -5x² + 10x
D. x(5x + 10) = 5x² + 10x
Hence confirming that the correct answer is option C.
To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):
\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)We can check our answer by distributing \(-5x\) to the expression inside the parentheses:
\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)\(\therefore\) The answer is \(-5x(x-2)\).
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Let u = <-5, 2>, v = <-2, 6>. Find 4u + 3v.
Answer:<-26, 26>
Step-by-step explanation: <4(-5), 4(2)> and
<3(-2), 3(6)>
<-20, 8> and <-6, 18>
Now add <(-20+(-6)), (8+18)>
<-26, 26>
Solve for x: 4(x + 3) - 2 = 14
Answer:
X = 1
Step-by-step explanation:
4(x + 3) - 2 = 14
4x + 12 - 2 = 14
4x + 10 = 14
4x = 4
x = 1
Answer:
x = 1
Step-by-step explanation:
4(x+3) - 2 = 14
4x + 12 - 2 = 14
4x +10 = 14
4x = 14 - 10
4x = 4
x = 4/4
x = 1
What is the volume of this object?
PLSSS HELP RIGHT ANSWER BRAN;EST
Answer:
23 cubic units
Step-by-step explanation:
1st layer: 8 units
2nd layer: 7 units
3rd layer: 5 units
4th layer: 3 units
8+7+5+3 = 23
See the attachments below
Hope this helps :)
\(\frac{6-\sqrt{8} }{\sqrt{2}-1 }\)
Answer:
2 +4√2
Step-by-step explanation:
Perhaps you want the simplified form of (6-√8)/(√2 -1).
ConjugateThe denominator can be rationalized by multiplying numerator and denominator by the conjugate of the denominator:
\(\dfrac{6-\sqrt{8}}{\sqrt{2}-1}=\dfrac{(6-\sqrt{8})(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\dfrac{6\sqrt{2}+6-\sqrt{16}-\sqrt{8}}{2-1}=\boxed{2+4\sqrt{2}}\)
__
Additional comment
The conjugate of the denominator is the same pair of terms with the sign between them changed. The product of the binomial and its conjugate is then the difference of squares. Since the square of a square root eliminates the radical, multiplying by the conjugate has the effect of removing the radical from the denominator.
The same "difference of squares" relation can be used to remove a complex number from the denominator.
(a -b)(a +b) = a² -b²
In general, the differences of terms of the same power can be factored. This means that denominators with this form can be "rationalized" by taking advantage of that factoring.
<95141404393>
Answer:
\(4\sqrt{2}+2\)-----------------------
Simplify the expression in steps:
\(\cfrac{6-\sqrt{8} }{\sqrt{2}-1 } =\)
\(\cfrac{6-2\sqrt{2} }{\sqrt{2}-1 } =\)
\(\cfrac{2(3-\sqrt{2} )(\sqrt{2} +1)}{(\sqrt{2}-1)(\sqrt{2}+1) } =\)
\(\cfrac{2(3\sqrt{2}+3-(\sqrt{2}^2) -\sqrt{2} )}{(\sqrt{2})^2-1 } =\)
\(\cfrac{2(2\sqrt{2}+3-2) }{2-1} =\)
\(\cfrac{2(2\sqrt{2}+1) }{1} =\)
\(4\sqrt{2}+2\)
Circle the true number sentences and rewrite the false sentences to make
4= 4
5 + 1 = 6 + 1
3 + 2 = 5 + 0
6+2=4+4
3+3= 6 + 2
9 + 0 = 7 + 2
8-8 +0
6+3=5+4
3+3=6+2
The given statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Here,
1) 4=4
Statement is true.
2) 5+1=6+1
6≠7
Statement is not true.
3) 3+2=5+0
5=5
Statement is true.
4) 6+2=4+4
8=8
Statement is true.
5) 3+3=6+2
6≠8
Statement is not true.
6) 9+0=7+2
9=9
Statement is true.
7) 8-8=0
0=0
Statement is true.
8) 6+3=5+4
9=9
Statement is true.
9) 3+3=6+2
6≠8
Statement is not true.
Therefore, the statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
#SPJ2
What is the equation of the line graphed below?
Point A is at-4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?
A
B
-5-4-3 -2 -1 0 1 2 3 4 5 6 7 8
O For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a 3:2
ratio is 0.
O For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a
3:2 ratio is 3.
O For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a
3:2 ratio is 1.
O For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a
3:2 ratio is 2.
Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2. Therefore, option D is correct.
Given that the point A is at -4 and the point B is at 6.
We need to find the point that divides AB into a 3:2 ratio.
One way to find the point that divides AB into a 3:2 ratio is to divide AB into 5 equal parts.
Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
Therefore, option D is correct.
Option A is incorrect because the point that divides AB into a 3:2 ratio is not 0.Option B is incorrect because the point that divides AB into a 3:2 ratio is not 3.Option C is incorrect because the point that divides AB into a 3:2 ratio is not 1.
For more such questions on divides , Visit:
https://brainly.com/question/30126004
#SPJ8
Points x and y and points C,D,E and f are shown what is true about points
The true statement is "the line that can be drawn through points D and E is contained in plane Y".
option B is the correct answer
What are the true statements about the point x and y?The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;
We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.
The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.
So, option (A) is NOT correct.
The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.
So, option (B) is CORRECT.
Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.
So, option (C) is NOT correct.
Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.
So, option (D) is NOT correct.
Thus, the correct option is;
The line that can be drawn through points D and E is contained in plane Y.
Learn more about points on a plane here: https://brainly.com/question/31404411
#SPJ1
The complete question is below:
Points x and y and points C,D,E and f are shown what is true about points
(A) The line that can be drawn through points C and D is contained in plane Y.
(B) The line that can be drawn through points D and E is contained in plane Y.
(C) The only point that can lie in plane X is point F.
(D) The only points that can lie in plane Y are points D and E
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
For such more questions on present value
https://brainly.com/question/30390056
#SPJ8
What are the TERMS in the expression: 7x − 5y − x + 6
A: 7, 5 and 6
B: 7x, 5y, x, and 6
C: x, and y
Answer: B i think
Step-by-step explanation:
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
f(x)=3x-3. find f(4)
Answer:
f(4)=9
Step-by-step explanation:
The given function is
F(x)=3x-3
so,
f(4)=3*4-3
f(4)=12-3
f(4)=9
putting 4 in place of x we get answer of the question.
What is the equation of a line that passes through (1,2) and is perpendicular to the given line?
The given line passes through (0,10) and (2,0), so its slope is
\(\frac{10-0}{0-2}=-5\)
Since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/5.
Substituting into point-slope form,
\(y-2=\frac{1}{5}(x-1)\\\\y-2=\frac{1}{5}x-\frac{1}{5}\\\\\boxed{y=\frac{1}{5}x+\frac{9}{5}}\)
How many full revolutions does a car tire with a diameter of 25 inches make when the car travels one mile? (Round your answer to the nearest whole number, remember there is 63360 inches in 1 mile,
Answer: So how many times can you get 94.2 inces from 1 mile?
How many inches are there in 1 mile?
1 mile = 5280 feet and...
1 foot = 12 inches., so...
1 mile = 5280ft.(12in./ft)
1 mile = 63,360 inches. Finally, you will divide 63,360 inches by 94.2 inches per revolution.
63360%2F94.2+=+672.6revolutions per mile :)
Step-by-step explanation: hope this helped
please help i suck at math and i really need help i do anything just help
Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.
b) The number of coasters with a logo bought and the price of the coasters.
c) Is either coaster relationship proportional? Explain in writing how you know.
d) Explain what the unit rate of the line described by each equation means in the context of the coasters.
2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.
Answer:
a
Step-by-step explanation:
Find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 What value corresponds to the 60th percentile
Answer:
Percentile rank:
12 = 7th
28 = 21st
35 = 36th
42 = 50th
47 = 64th
49 = 79th
50 = 93rd
- Vth number i.e. 47 is the value that corresponds to the 60th percentile.
Step-by-step explanation:
As we know,
Percentile rank = [(Number of values below x) + 0.5]/total number of values * 100
For 12,
Percentile rank = [0 + 0.5]/7 * 100
= 7th
For 28,
Percentile rank = [1 + 0.5]/7 * 100
= 21st
For 35,
Percentile rank = [2 + 0.5]/7 * 100
= 36th
For 42,
Percentile rank = [3 + 0.5]/7 * 100
= 50th
For 47,
Percentile rank = [4 + 0.5]/7 * 100
= 64th
For 49,
Percentile rank = [5 + 0.5]/7 * 100
= 79th
For 50,
Percentile rank = [6 + 0.5]/7 * 100
= 93rd
Now,
n = 7
60th percentile = 60% of n
So,
60% of n = 60/100 * 7
= 0.6 * 7
= 4.2
After rounding it off,
5th value is the 60th percentile i.e. 47.
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1