9514 1404 393
Answer:
y = 10
Step-by-step explanation:
Put -3 where x is and solve for y.
4(-3) +3y = 18
-4 +y = 6 . . . . . . . divide by 3
y = 10 . . . . . . . . . add 4
The volume of a sphere is a function of its radius,
V=43πr3.
Evaluate the function for the volume of a volleyball with radius
11.6
cm.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6525\text{cm.}^3[/tex]
Keep in mind that this is APPROXIMATE.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Volume of a Sphere Is:}}\\\\V = \frac{4}{3} \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = \frac{4}{3}(3.14) (11.6)^3\\\\V = \frac{4}{3}(3.14) 1560.896\\\\V \approx 6534.95125\text{cm.}^3\\\\\boxed{V \approx 6535\text{cm.}^3}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Are the following sets of points coplanar? 8. E, B, and F 9. DB and FC 10. AC and ED 11. AE and Dc 12. F, A, B, and C 13. F, A, B, and D 15. FB and BD 14. plane Q and EC
Answer: 8.EB and F: yes
9.DB and FC:no
10.AC and ED:yes
11.AE and DC:yes
12.F,A,B and C:yes
13.F,A,B and D:no
14.plane Q and EC:yes
15.FB and BD:yes
Step-by-step explanation:
hope this helps have a good day!
How many right triangles have a hypotenuse that measures 4x + 2 meters and legs that measure 4x-2 meters and x + 6 meters? What are the dimensions of the triangle(s)?
9514 1404 393
Answer:
2 triangles; x={2, 18}10 m, 6 m, 8m74 m, 70 m, 24 mStep-by-step explanation:
The given sides will form a right triangle when ...
(4x +2)² = (4x -2)² +(x +6)² . . . . . the Pythagorean theorem is satisfied
16x² +16x +4 = 16x² -16x +4 +x² +12x +36 . . . . eliminate parentheses
x² -20x +36 = 0 . . . . . simplify to standard form
(x -2)(x -18) = 0 . . . . . . factor
x = 2 or 18 . . . . . . . . values of x that make the factors zero
There are two triangles.
For x = 2
hypotenuse = 4(2) +2 = 10
leg1 = 4(2) -2 = 6
leg2 = 2 +6 = 8
dimensions are 6 m by 8 m with hypotenuse 10 m.
For x = 18
hypotenuse = 4(18) +2 = 74
leg1 = 4(18) -2 = 70
leg2 = 18 +6 = 24
dimensions are 24 m by 70 m with hypotenuse 74 m.
Both Raquel and Felipe attempt to make a scale drawing of the original parallelogram shown
Answer:
Both of them drew the parallelogram right.
Step-by-step explanation:
In Raquel's drawing we can see that the parallelogram is shorter and smaller but both the opposite lines are congruent to each other and match the scale size to the original drawing. And it Felipe's drawing the parallelogram is longer and bigger than the original drawing but the opposite line are also congruent to each other and match the scale size to the original drawing!!
I hope you get it right! :)
14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.
Answer:
30 caps can be bought
Step-by-step explanation:
[tex]{ \sf{Rs.800 = (10 \times 12) \: caps}} \\ { \sf{Rs.200 = ( \frac{200 \times 10 \times 12}{800}) \: caps}} \\ \\ { \sf{ = 30 \: caps}}[/tex]
each of the figure below is made of the unit square which of the following figure has the maximum perimeter
6 question pls
Answer:
c is the answer
the ratio of two number is 4:7 and their hcf is 6 .find their lcm
168
this is the full process
Simplify. √ −18
A -3i√2
B 3i√2
C 9i√2
D -3√2
Can anyone help me to solve this question ??
find the zeroes for P(x)=6x³-13x²+x+2 given 0.5 is one of the zeroes
The answers :
-1/3 , 0.5 , 2
Step-by-step explanation:
that means the expression is the result of a multiplication with (x-0.5) being one factor.
so, we divide the whole expression by this and then deal with the remaining quadratic equation.
6x³ - 13x² + x + 2 / x - 0.5 = 6x² - 10x - 4
- 6x³ - 3x²
----------------------------
- 10x² + x + 2
- - 10x² + 5x
----------------------------
- 4x + 2
- - 4x + 2
----------------------------
finished. 0
so, the whole expression is also
P(x) = (x-0.5)×(6x² - 10x - 4)
now we need to find the 2 zero points of the quadratic part.
the general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 6
b = -10
c = -4
x = (10 ± sqrt(100 - 4×6×-4))/12 =
= (10 ± sqrt(100 + 96))/12 = (10 ± sqrt(196))/12 =
= (10 ± 14)/12
x1 = (10+14)/12 = 24/12 = 2
x2 = (10-14)/12 = -4/12 = -1/3
An alphabetic character representing a number
Answer:
a variable
Step-by-step explanation:
The answer is a variable because it's a letter that stands in place of a number
Answer:
simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z
Is 8,916,699 divisible by 4?
yes
no
Answer: no
Step-by-step explanation:
the sum of 4 consecutive integers is 406. find the integers
Answer and Step-by-step explanation:
When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.
The answer is:
100 + 101 + 102 + 103
It adds up to 406, and the integers are consecutive.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer:
Step-by-step explanation:
let the numbers be n,n+1,n+2,n+3
n+n+1+n+2+n+3=406
4n+6=406
4n=406-6=400
n=400/4=100
then the numbers are
100,100+1,100+2,100+3
or
100,101,102,103
B) Lim[2f(x)-3g(x)]
Please do all if possible:) thank you!
Recall some limit properties…
• limits distribute over sums:
[tex]\displaystyle \lim_{x\to c}(f(x)+g(x)) = \lim_{x\to c}f(x)+\lim_{x\to c}g(x)[/tex]
• limits distribute over products:
[tex]\displaystyle \lim_{x\to c}(f(x)\times g(x)) = \lim_{x\to c}f(x)\times\lim_{x\to c}g(x)[/tex]
• limits distribute over quotients, provided that the denominator doesn't approach 0 :
[tex]\displaystyle\lim_{x\to c}\frac{f(x)}{g(x)} = \frac{\displaystyle\lim_{x\to c}f(x)}{\displaystyle\lim_{x\to c}g(x)}[/tex]
• if f(x) is continuous at x = c, then the limit "passes through" a composition:
[tex]\displaystyle \lim_{x\to c}f(g(x)) = f\left(\lim_{x\to c}g(x)\right)[/tex]
# # #
(a) This limit is 2. At x = 2, we have f (2) = 1, but from either side of x = 2, we see f(x) approaching the point (2, 2). So
[tex]\displaystyle \lim_{x\to 2}(f(x)+g(x)) = \lim_{x\to2}f(x)+\lim_{x\to2}g(x) = 2+0 = 2[/tex]
(b) This limit does not exist. We would have
[tex]\displaystyle \lim_{x\to1}(2f(x)-3g(x)) = 2\lim_{x\to1}f(x)-3\lim_{x\to1}g(x)[/tex]
but g(x) approaches 2 from the left of x = 1, and g(x) approaches 1 from the right of x = 1. The one-sided limits don't match, so the two-sided limit doesn't exist.
(c) This limit is 0. It looks like f(x) passes through the origin, while g(x) ≈ 3/2 at x = 0. So
[tex]\displaystyle\lim_{x\to0}f(x)g(x) = \lim_{x\to0}f(x)\times\lim_{x\to0}g(x)=0\times\frac32 = 0[/tex]
(d) This limit does not exist since
[tex]\displaystyle \lim_{x\to-1}g(x)=0[/tex]
(e) This limit is 16. Nothing tricky here, just use the same property as in (c).
[tex]\displaystyle\lim_{x\to2}x^3f(x) = \lim_{x\to2}x^3\times\lim_{x\to2}f(x) = 8\times2=16[/tex]
(f) This limit is 1. f(x) is continuous at x = 1, while g(x) approaches 2 from the left.
[tex]\displaystyle\lim_{x\to1^-}f(g(x)) = f\left(\lim_{x\to1^-}g(x)\right) = f(2) = 1[/tex]
Anyone who knows this mathematic question.to help please. Am giving the brainliest.
Write 4 2/5 as an improper faction
Answer:
22/5
Step-by-step explanation:
4 [tex]\frac{2}{5}[/tex]
new numerator for improper fraction = (4 x 5) + 2 = 20 + 2 = 22
=> 22/5
Show two ways fivepeople cans hare a 3-segmant chewy fruit worm
Answer:
ethethe
Step-by-step explanation:
thethetht
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
a = 6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10 ^2
a^2 +64 = 100
a^2 = 100 -64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
help pls ! (i mark brainliest).
Answer: The answer is
25 Units
Answer:
36 units
please mark me brainleast
Is this a function? Input: students first name, Output: students favorite color
what is other way to write 3x(4+7)
Answer:
[tex]3 \times (4 + 7) =( 3 \times 4) + (3 \times 7) \\ thank \: you[/tex]
A 3-foot piece of brass wire costs $18.00. What is the price per inch?
Answer:
50¢
Step-by-step explanation:
$18.00=1800.
3*12=36
1800/36=50
Answer:
Step-by-step explanation:
the price of per inch is $2
find the real numbers x&y so that (x^2+2xy)+i(y-1) = (x^2-2x+2y) - i(x+y)
In order for two complex numbers to be equal, their real and imaginary parts must match up.
So if
x ² + 2xy + i (y - 1) = x ² - 2x + 2y - i (x + y)
then
x ² + 2xy = x ² - 2x + 2y
and
y - 1 = -x - y
Solve for x and y : the first equation gives
x ² + 2xy = x ² - 2x + 2y
2xy = 2y - 2x
and the second gives
y - 1 = -x - y
2y = 1 - x
Substitute this into the first equation:
x (1 - x) = (1 - x) - 2x
x - x ² = 1 - 3x
x ² - 4x + 1 = 0
x = 2 ± √3
Then
x = 2 - √3 ==> y = (-1 + √3)/2
x = 2 + √3 ==> y = (-1 - √3)/2
both of which make both sides of the equation (2 - √3) + i (√3 - 3)/2.
Mark wishes to pay off a loan of $7560 in 42 months. How large will the monthly payments be?
can someone show me how to do it step by step please
Answer:
The monthly payments will be $180.
Step-by-step explanation:
You only have to divide $7560 by the 42 months Mark wished to pay the loan off in.
The sum of twice a number and three
If f(x)=2x-1and g(x)=x^2-3x-2,find( f+g)(x)
Answer:
[tex](f+g)(x)=x^2-x-3[/tex]
Step-by-step explanation:
We have [tex]f(x)=2x-1[/tex] and [tex]g(x)=x^2-3x-2[/tex]
Recall that [tex]f+g[/tex] is defined by [tex](f+g)(x)=f(x)+g(x)[/tex], therefore
[tex](f+g)(x)=f(x)+g(x)=2x-1+x^2-3x-2=x^2-x-3[/tex]
(2x³)⁴= ? What is the right answer, with full explanation please:
A. 16x⁷
B. 16x¹²
C. 8x⁷
D. 8x¹²
The required simplified value of the given expression is 16x¹². Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
=(2x³)⁴
As we know that,
[xᵃ]ᵇ = xᵃˣᵇ
So,
(2x³)⁴ = 2⁴x³ˣ⁴
= 16x¹²
Thus, the required simplified value of the given expression is 16x¹².
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Ken Ken 5x5 please help
Answer:
5x5= 25
Step-by-step explanation:
5+5+5+5+5= 25
v=n/4(c+H) what is the answer for H?
Answer:
H = (n/4v) - c
Step-by-step explanation:
I ASSUME the equation is
v = n/(4(c + H))
multiply by (c + H)
v(c + H) = n/4
divide by v
c + H = n/4v
subtract c
H = (n/4v) - c
If the equation is v = (n/4)(c + H)
Then
H = (4v/n) - c
I forgot how to do this for my brother
Answer:
11
Step-by-step explanation:
Add:
26 + 19 + 43
^ ^
45 + 43
88
Divide:
88 / 8 = 11
So, each tank has 11 fish.
Hope this helped.
Write in standard form 4.025x10 2
Answer:
402. 5
Step-by-step explanation:
This is your answer hope this helps
And also pls mark me brainliest