Answer:
904.78
Step-by-step explanation:
4/3 (3.14)(r)^3 =4/3 × 3.14 × 6^3
can someone help i don't get this problem
Answer:
the answer is 10•57(approximated as 10•6)
Answer: [tex]\sqrt{3}+\sqrt{5}[/tex]
On a keyboard, we could type this as sqrt(3) + sqrt(5)
==============================================================
Explanation:
The given expression is considered a nested radical because one radical, the [tex]\sqrt{15}[/tex], is buried inside another radical.
Let's assume that nested radical is of the form [tex]\sqrt{a}+\sqrt{b}[/tex] where a & b are positive real numbers.
Set the given expression equal to [tex]\sqrt{a}+\sqrt{b}[/tex] and square both sides to see what happens. We'll do a bit of algebra to simplify and rearrange things a bit as well. See the steps below.
[tex]\sqrt{8+2\sqrt{15}} = \sqrt{a}+\sqrt{b}\\\\\left(\sqrt{8+2\sqrt{15}}\right)^2 = \left(\sqrt{a}+\sqrt{b}\right)^2\\\\8+2\sqrt{15} = \left(\sqrt{a}\right)^2 + 2\sqrt{a}\sqrt{b} + \left(\sqrt{b}\right)^2\\\\8+2\sqrt{15} = a + 2\sqrt{ab} + b\\\\8+2\sqrt{15} = (a+b) + 2\sqrt{ab}\\\\[/tex]
If we equate terms, we get this system of equations
[tex]\begin{cases}8 = a+b\\2\sqrt{15} = 2\sqrt{ab}\\\end{cases}[/tex]
Solve the first equation for 'a' to get a = 8-b
------------------------------
Let's plug a = 8-b into the second equation and solve for 'b'
[tex]2\sqrt{15} = 2\sqrt{ab}\\\\\sqrt{15} = \sqrt{ab}\\\\15 = ab\\\\15 = (8-b)b \ \ \text{ .... replace a with 8-b}\\\\15 = 8b-b^2\\\\b^2-8b+15 = 0\\\\(b-3)(b-5) = 0\\\\b-3 = 0 \ \text{ or } \ b-5 = 0\\\\b = 3 \ \text{ or } \ b = 5\\\\[/tex]
If b = 3, then a = 8-b = 8-3 = 5
If b = 5, then a = 8-b = 8-5 = 3
We have this symmetry going on with 'a' and b. If one value is 3, then the other is 5, and vice versa. The order doesn't matter.
That means the equation
[tex]\sqrt{8+2\sqrt{15}} = \sqrt{a}+\sqrt{b}\\\\[/tex]
updates to
[tex]\sqrt{8+2\sqrt{15}} = \sqrt{3}+\sqrt{5}\\\\[/tex]
The order doesn't matter on the right side since we can add two numbers in any order.
---------
You can use your calculator to confirm the answer.
Note that
[tex]\sqrt{8+2\sqrt{15}} \approx 3.968118785[/tex]
and
[tex]\sqrt{3}+\sqrt{5} \approx 3.968118785[/tex]
both result in the same decimal approximation to help show the two sides are equal.
Which of the following is the product (5y − 3)2?
A. 10y − 6
B. 25y2 − 30y + 9
C. 25y2 − 9
D. 25y2 + 30y − 9
Answer:
d it is D
Step-by-step explanation:
I need help plz help
Answer:
i think it would be 17
Step-by-step explanation:
sorry if its wrong
Zak wants to work out the area of this triangle.
14 cm
8 cm
- 12 cm
Here is his working.
12 x 8 = 96 cm
What is wrong with his method?
A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3
Answer:
The best measure of center for a set of data is the median value.
To find the median list the values from
Smallest to largest:
0, 0, 1, 1, 2,2, 2, 14
Since there is an even number of values, find the middle two numbers, add them together and divide by 2:
1+2 = 3
3/2 = 1.5
The answer is median 1.5
Step-by-step explanation:
plz brain list
find the factorization of x2 = 5x + 4.
Step-by-step explanation:
x²=5x+4
x²-5x-4=0x²-x+4x-4x(x-1)+4(x-1)(x_1)(x+4)hope it helps.
What is (5b + 3x)(5d-3b)
What is the measure of ZRCP in the figure below?
P
11
D
350
11
R
A. 35°
B. 55°
C. 11°
D. 60°
E. 70°
F. Cannot be determined
Step-by-step explanation:
the answer is 35 if he want the degree of c in RCD trangle
and if you want the RCD and The PCD deegrees total its 70
I need help with question number 1 and question number 2 please
1. It is a quadratic equation.
Explanation:
A quadratic equation is any equation that can be rearranged in standard form (ax^2 + bx + c). That equation can be rewritten as -x^2 + 1, where a is -1, b is 0, and c is 1.
2. 4x^2, 3x, and 5.
Explanation:
A quadratic term is ax^2 in the formula ax^2 + bx + c. A linear term is bx in the formula, and a constant is c in the formula.
Answer:
Step-by-step explanation:
y= -1/4x
Check all the answers that represent the same level of precision,
O A. 42
OB. 1.1
O c. 23.45
D. 100.6
Answer:
Step-by-step explanation:
the "answer" below is why the brainly community, most of it atleast is shi
runs 9 miles in 84 minutes. How many miles does he run per minute?
Answer:
9.33333333333, or 9, or 9.3
Step-by-step explanation:
Please help me I don’t understand and can you tell me how you got the answer
Answer:
9
Step-by-step explanation:
to find the whole number of this fraction all you have to do is do the top number divided by the bottom so... 36 ÷ 4 = 9 and we get 9 Hopefully that helps!
A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three complaints each hour. Assume the number of complaints follows the Poisson distribution. Determine the probability that exactly four complaints will be received during the next eight hours.
Answer:
0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
Step-by-step explanation:
We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A service center receives an average of 0.6 customer complaints per hour.
This means that [tex]\mu = 0.6h[/tex], in which h is the number of hours.
Determine the probability that exactly four complaints will be received during the next eight hours.
8 hours means that [tex]h = 8, \mu = 0.6(8) = 4.8[/tex].
The probability is P(X = 4).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203[/tex]
0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
When csc(O)sin(0) is simplified, what is the result?
Answer:
This is not my answer, it was done by another expert in Brainly.
We are given:
csc (0) * sin (0)
This is to be simplified using trigonometric identities:
csc (x) = 1/sin(x)
so, csc (0) = 1/sin(0)
then,
1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.
Therefore, the answer is 1.
Given that f(x)=x^2+3x-28f(x)=x
2
+3x−28 and g(x)=x+7g(x)=x+7, find f(x)+g(x)f(x)+g(x) and express the result in standard form.
9514 1404 393
Answer:
x^2 +4x -21
Step-by-step explanation:
Substitute the given expressions and simplify.
f(x) + g(x)
= (x^2 +3x -28) +(x +7)
= x^2 +(3+1)x +(-28 +7)
= x^2 +4x -21
3x + 2y = 19 in slope intercept form
Answer:
y=3/2x+19/2
Step-by-step explanation:
Step-by-step explanation:
Solve for y = 19/2+3x/2
y=3/2x+19/2
Slope3/2
Y-intercep 19/2
x|y
1 |11
3|14
Graph the line using slope and the y-intercep, or the points y-19/2
Is (4,9) a solution to the equation 3(x+2) = y ?
Answer:
No
Step-by-step explanation:
3(x+2) = y
3(4+2) = 9
3(6) = 9
18 does NOT equal 9
Please find missing side length
Answer:
x = 17 (When rounded to the nearest decimal place )
PLEASE HELP!! I CANT GET THIS WRONG YALL HELP.....!!!
GIVING BRAINLIEST
Answer:
D)6x^4+3x^3y
Step-by-step explanation:I hope this helps,good luck with everything,have a nice day.
Line P R and Line Q S are diameters of circle T. What is the measure of Arc S R?
50°
80°
100°
120°
Answer:
100
Step-by-step explanation:
NO FILES I really need this one correct plz and thank you.
Answer:
[tex]x=20[/tex]°
Step-by-step explanation:
→ [tex]x+100+3x=180[/tex]
→ [tex]4x+100=180[/tex]
→ [tex]4x=180-100[/tex]
→ [tex]4x=80[/tex]
→ [tex]x=\frac{80}{4}=20[/tex]
[tex]x=20[/tex]°
[tex]---------[/tex]
hope it helps...
have a great day!!
I need to know the answer to this please and thank you, I don’t know how to do this.
Answer:
A= 30 sq feet
? = 5 feet
Step-by-step explanation:
if the total area is 104 square feet and we know where 44 square feet of that is accounted for that leaves 60 square feet so both A sections are equal so we can divide 60 by 2 to get 30 square feet. So "A" is 30 square feet.
to get "?" we need to find the other measurement for the 10 square foot sections, the easiest way to find that is 10 divided by 2 ( which is the measurement we already have), once we do this we get 5 feet, and because 5 feet is the height measurement for that part of the net diagram we know that the "?" will need to be 5 as well because it is also a height measurement.
Henry has a 12 m wire. He cuts 12.5% of the wire. How long is the wire that Henry cut?
?_ m (100%)
?__m(_?_%)
Henry cut 1.5 m of the wire.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Henry cut 12.5% of the 12 m wire, which is:
= 0.125 x 12 m
= 1.5 m
Therefore,
Henry cut 1.5 m of the wire.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Write the opposite of the situation:
8 yd. gain in foot ball
pls help will give brainiest for fast and correct answer
Answer:
-8 yd. lost in football
Step-by-step explanation:
Two more than the quotient of a number and 3 is equal to 8.
If you guys help me with this ill give you brainliest
Answer:
The answer is 19.2 miles your welcome
Step-by-step explanation:
A recipe calls for 1/4 cup of flour. You want to make 1/2 of the recipe. How much flour do you need?
Answer:
You would need 1/8 cup of flour.
Step-by-step explanation:
Multiply 1/4 and 1/2.
Answer:
1/8 cups
Step-by-step explanation:
Help me out please?????
9514 1404 393
Answer:
QT = 16
VQ = 24
Step-by-step explanation:
The centroid divides each median into parts that have the ratio 1:2. The short length is the one from the centroid to the side (VT); the long length is the one from the centroid to the vertex (QT).
VT : QT = 1 : 2 = 8 : 16
VQ = VT +QT = 8 + 16 = 24
__
QT = 16
VQ = 24
Can someone please help me with this I will mark u brilliant
Answer:
80 is the median
The median is just the number in the middle and since 80 is in the middle the median is 80 hope that helps!
Which angle measure is greater?
Answer:
A
Step-by-step explanation:
plz tell me if correct and is so plz give brainliest
Answer:
A
Step-by-step explanation: