Answer:
The time it takes for the ship to travel from Earth to Pluto is 164,337 hours.
Step-by-step explanation:
The question is:
The distance from Earth to Pluto is approximately 5,751,800,000 km. How long does it take for a ship traveling at 35,000 km / h?
Solution:
The formula to compute the time (t) it takes to travel a certain distance (d) at a certain speed (s) is:
[tex]t=\frac{d}{s}[/tex]
It is provided that:
d = 5,751,800,000 km
s = 35,000 km / h
Compute the time it takes for the ship to travel from Earth to Pluto as follows:
[tex]t=\frac{d}{s}[/tex]
[tex]=\frac{5751800000}{35000}\\\\=164337.14286\\\\\approx 164337[/tex]
Thus, the time it takes for the ship to travel from Earth to Pluto is 164337 hours.
Every _____ tessellates
Answer:
Every hexagon tessellates.
Step-by-step explanation:
Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other.
Hellpppp
What are the coordinates of point K” on the final image?
(-7, 4)
(-4,-7)
(4,-7)
(4,7)
Answer:the answer I’m is C trust me
Step-by-step explanation: I just took the test
Answer:(-4,7)
Step-by-step explanation:
Edg 2021
What is 1 + 1 in math 3
Answer:
11
Step-by-step explanation:
the answer is 11
andy has 310$ in his account. each week,w, he withdraws 30$ for his expenses. which expression could be use if he wanted to find out how much money he had left after 8 weeks?
Answer:
The expression is (310-30)^8
Step-by-step explanation:
ezer lol lol.
What is the area of the parallelogram if each square is 1 square foot? a. 12 ft ³ b. 12 ft ² c. 12 d. 12 feet
Answer:
B. 12 ft²
Step-by-step explanation:
Area of a parallelogram is equal to the product of its base and its height.
b × h
4 × 3 = 12
The area of the parallelogram is 12 feet squared.
Someone plsss plss help me ima cryy!!!
Answer:
1) Business costs less. It costs $8 less.
2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.
x,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z
Answer:
6, 8, 10
Step-by-step explanation:
x y and z are three consecutive even numbers
it means that you can write y = x + 2
and z = y + 2 = x + 4
so
[tex]y^2-2=2x+5z\\ <=> (x+2)^2-2=2x+5(x+4)\\<=>x^2+4x+4-2=2x+5x+20[/tex]
[tex]<=> x^2+4x+2=7x+20\\<=>x^2+4x+2-7x-20=0\\<=>x^2-3x-18=0\\<=>(x+3)(x-6)=0<=>(x=-3\ or \ x=6)[/tex]
so the solutions are
x = 6
y = 8
x = 10
Answer:
6, 8, 10
Step-by-step explanation:
x, y, z
y=x+2, z= x+4
y²- 2= 2x+5z(x+2)²- 2= 2x+ 5(x+4)x²+4x+4-2= 2x+5x+20x²-3x-18=0Solving the quadratic equation we get:
x=6, then y= 8, z= 10x= -3 discarded as odd numberOliver started his banking account with $100 and is increasing the account $20 per month. Which type of function does this situation model?
A) quadratic function
B) piecewise function
C) absolute value function
D) None of these choices are correct.
Answer: D. NONE OF THESE CHOICES ARE CORRECT.
Step-by-step explanation:
This situation represents a linear function graph because as you save up over the months the money goes up as well.
What are the solutions of x^2 - 5x+7 = 0 ?
Answer:
C.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 5x + 7 = 0
Step 2: Identify Variables
a = 1
b = -5
c = 7
Step 3: Find solutions
Substitute [Quad Formula]: [tex]x=\frac{5\pm\sqrt{(-5)^2-4(1)(7)} }{2(1)}[/tex]Evaluate Exponents: [tex]x=\frac{5\pm\sqrt{25-4(1)(7)} }{2(1)}[/tex]Evaluate Multiplication: [tex]x=\frac{5\pm\sqrt{25-28} }{2}[/tex]Evaluate Subtraction: [tex]x=\frac{5\pm\sqrt{-3} }{2}[/tex]Factor: [tex]x=\frac{5\pm\sqrt{-1} \sqrt{3} }{2}[/tex]Simplify: [tex]x=\frac{5\pm i\sqrt{3} }{2}[/tex]The solutions to the equation x² - 5x + 7 = 0 are:
x = (5 + i√3) / 2 or x = (5 - i√3) / 2
Option C is the correct answer.
We have,
To find the solutions of the quadratic equation x² - 5x + 7 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, the coefficients are:
a = 1
b = -5
c = 7
Substituting these values into the quadratic formula,
x = (-(-5) ± √((-5)² - 4(1)(7))) / (2(1))
Simplifying further:
x = (5 ± √(25 - 28)) / 2
x = (5 ± √(-3)) / 2
Since the discriminant (the value inside the square root) is negative, √(-3) is imaginary, meaning there are no real solutions to this quadratic equation.
The solutions exist in the complex number system.
So,
√-1 = i
x = (5 ± i√3) / 2
This can be written as,
x = (5 + i√3) / 2
and
x = (5 - i√3) / 2
Thus,
The solutions to the equation x² - 5x + 7 = 0 are:
x = (5 + i√3) / 2 or x = (5 - i√3) / 2
Learn more about solutions of equations here:
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5a + 2b is a A) monomial B) binomial C) trinomial
Answer:
binomial
Step-by-step explanation:
A binomial is a polynomial with 2 terms
5a+2b has two terms
what are the two consecutive numbers of 235
Answer:
117, 118
Step-by-step explanation:
if 2 consecutive numbers have a sum of 235, then
Let the 2 numbers be n and n+1
Given That:
n + n+1 = 235
Simplify and solve:
2n + 1 - 235
2n = 234
n = 117.
If n = 117, then n +1 = 118. These are the 2 consecutive numbers.
Hope this helps.
Good Luck
Answer:
236 AND 237
Step-by-step explanation:
Two consecutive numbers means next two continuous numbers
If x = 5 and y = x + 1 , find (x+y)+1/2
Pls quickly , ill mark branliest
Answer:
23/2
Step-by-step explanation:
If x = 5,
y = 5 + 1 = 6
(5+6) + 1/2 = 11 + 1/2 = 23/2
The function N(X) = 90(0.86)* + 69 can be used to predict the temperature of a
cup of hot chocolate in degrees Fahrenheit after x minutes. What is the
approximate average rate of change of the temperature of the hot chocolate, in
degrees per minute, over the interval [0, 6]?
1.
-8.93
2.
-0.11
3.
0.11
4.
8.93
Answer: -8.93
Step-by-step explanation:
Given the function:
N(X) = 90(0.86)^x+ 69
X in the interval [0, 6]
For X = 0
N(0) = 90(0.86)^0 + 69
90 + 69 = 159
For X = 6
N(6) = 90(0.86)^6 + 69
90(0.404567235136) + 69
= 105.41105116224
Therefore, average change of change in temperature ;
(temp 2 - temp 1) / ( time 2 - time)
(105.41105116224 - 159) / (6 - 0)
= - 53.58894883776 / 6
= - 8.93149147296
= - 8.93
The approximate average rate of change of the temperature of the hot chocolate, in degrees per minute, over the interval [0, 6] is;
Option 1; -8.93
We are given the function;
N(x) = 90(0.86)ˣ + 69
We want to find the average rate of change over the interval (0, 6).
Thus;
N(0) = 90(0.86)⁰ + 69
N(0) = 90 + 69
N(0) = 159°
N(6) = 90(0.86)⁶ + 69
N(6) = 105.411°
Formula for rate of change is;
Rate of change = Δy/Δx
Thus; Rate of change = (159 - 105.411)/(0 - 6)
Rate of change = -8.93
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Simplify each expression involving signed numbers.
-7 -2 = -9
12 + (-4) = 8
-8(-6) =
18/-3=
PLEASE HURRY! Thanks!
Answer:
-9=-9
8=8
-48=-48 or -8(-6)=-48
-6=-6 or 18/-3=-6
Step-by-step explanation:
Answer:
Simplify each expression involving signed numbers.
-7 – 2 =
✔ –9
12 + (-4) =
✔ 8
-8(-6) =
✔ 48
StartFraction 18 over negative 3 EndFraction =
✔ –6
can I have some brainiest
Step-by-step explanation:
Find the domain for the rational function f of x equals quantity x plus 4 over quantity 3 times x minus 5. negative infinity to negative five thirds and negative five thirds to infinity negative infinity to five thirds and five thirds to infinity (−∞, −4)( −4, ∞) (−∞, 4)(4, ∞)
Answer:
(-∞, 5/3) and (5/3,∞)
Step-by-step explanation:
f(x) = (x+4)/ (3x-5)
The domain is the values that x can be
We have one discontinuity or value the x cannot be
The denominator cannot be zero
3x-5 ≠0
3x≠5
x ≠5/3
The domain is all real numbers but x = 5/3
(-∞, 5/3) and (5/3,∞)
Evaluate 27% of £396.58
Answer: £107.08
Step-by-step explanation:
27% of 396.58
= 396.58 x 0.27
= 107.08
The prime factorization of K is: K = 3·5·7. List all the composite factors of K.
Answer:
15, 21 and 35.
Step-by-step explanation:
They are 3*5 , 3*7 and 5*7.
The list of all the composite factors of K: 15, 21, 35, 105.
What is a prime integer?"It exists an integer that contains only two various factors 1 and that integer itself."
What is the prime factorization of a number?"It exists a way to find the prime factors of a given number."
What is a composite integer?"It exists an integer that contains more than two different factors. "
Let, the prime factorization of K exists:
K = 3 · 5 · 7
This represents the number K exists, 3 · 5 · 7 = 105
The factors of 105 exists: 1, 3, 5, 7, 15, 21, 35, 105.
We must list all the composite factors of K.
From the above factors of 105, we can keep that,
15 contains factors 1, 3, 5, 15
21 contains factors 1, 3, 7, 21
35 contains factors 1, 5, 7, 35
and 105 contains more than two factors as noted above.
This means the numbers 15, 21, 35, and 105 exist as composite numbers.
Thus, the list of all the composite factors of K: 15, 21, 35, 105.
To learn more about composite factors
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Holly, the author, has written 160 pages of her next book. She needs to write a minimum of 20 pages per day to complete the expected 380 page book. Which inequality below expresses this situation?
Answer:
days ≤ 6
Step-by-step explanation:
she gas 160 pages out of the 380 pages, so she needs to write other:
380 - 160 = 120 pages.
If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:
20*d = 120
d = 120/20 = 6
so d is the number of days, and we have that:
d ≤ 6.
The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.
please help fast please
Answer:
here
Step-by-step explanation:
a= 4. 8, 12
b= 4, 7, 10
d= 3, 6, 11
e= 3, 12, 27
Use long division to find the quotient below.
(x^2 + 17x+72) - (x+8)
Answer:
x + 9
Step-by-step explanation:
(x²+17x+72)/(x+8)
-------------
(x2 + 8x + 9x + 72)= (x + 9)(x+8)
(x²+17x+72)/(x+8) = x + 9
Answer:
IT IS D.
Step-by-step explanation:
(x2 + 8x + 9x + 72)= (x + 9)(x+8)
(x²+17x+72)/(x+8) = x + 9
HAVE A NICE DAY! :)))
P.S PLEASE PICK ME AS BRAINLIEST
THX!
Consider the function represented by the graph. On a coordinate plane, a straight line with a negative slope begins on the y-axis at (0, 9) and exits the plane at (8, 1). What is the domain of this function?
Answer:
The domain of y = f(x) is [0,8]
Step-by-step explanation:
Since the straight line with negative slope begins on the y-axis at (0. 9) and exits the plane at (8, 1), we get is domain from the minimum and maximum values of x for which the function is valid.
So, the minimum value of x at which the function is valid is x = 0 and the function is y = f(0) = 9.The maximum value of x at which the function is valid is x = 8 and the function is y = f(8) = 1.
So, the domain of the function y = f(x) is [0,8]
Answer:
y = f(x) is [0,8]
Step-by-step explanation:
{(1,3),(1,2),(3,-2),(3,-2),(3,2)} is a function?
Answer: No its not a Function
Step-by-step explanation:
ITs not a function because
{(1,3),(1,2),(3,-2),(3,-2),(3,2)}
The codomain is being repreted
for example if you look here (1,2),(3,2)}
The 2 is being repreted which shows its not a function
Hope this helps :)
Solve 2x2 + 12x = 10. (1 point) Select one: a. −3 ± square root 14 b. −3 ± 2 square root 2 c. −3 ± square root 19 d. −3 ± square root 29
Answer:
2x2−12x+7=0
a≠1,a=2 so divide through by 2
22x2−122x+72=02
which gives us
x2−6x+72=0
Step-by-step explanation:
The ratio of boys to girls in a group is 2:1. If there are 24 more boys than girls, work out how many boys there are.
Answer:
pls mark as brainliest
Step-by-step explanation:
let the ratio be= 2:1
let the boys be= 2x
let the girls be= 1x=x
x+24=2x
x-2x=-24
-x=-24
so the minus sign will cut
x=24
2x=2×24
Boys in the class are 48
hope it helps you
Answer:
48 boys
Step-by-step explanation:
girls: x, boys: 2x
x+24=2x
24=x
girls=24, boys=48
what is the midpoint of the line segment with endpoints (3.2,2.5) and (1.6,-4.5)?
Answer:
Midpoint: (2.4, -1)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
With that in mind,
(3.2 + 1.6)/2 = 2.4
(2.5 - 4.5)/2 = -1
Answer:
(2.4, -1)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates
(3.2+1.6)/2 = 4.8/2 = 2.4
To find the y coordinate of the midpoint, average the y coordinates
(2.5+-4.5)/2 = -2/2 = -1
(2.4, -1)
What is the length of side s of the square shown below?
Answer:
3√2
Step-by-step explanation:
Pythagoras says s²+s²=6²
so
2s² = 36
s = √18 = √9·2 = √3²·2 = 3√2
Answer:
C
Step-by-step explanation:
The diagonal splits the square into 2 right triangles with hypotenuse 6
Using Pythagoras' identity in one of the right triangles.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
s² + s² = 6²
2s² = 36 ( divide both sides by 2 )
s² = 18 ( take the square root of both sides )
s = [tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] → C
х
-2
-1
О
у
-2
1
4
7
10
1
2
What is the slope of the function?
Step-by-step explanation:
m=y2-y1/x2-x1
m=0-(-2)/4-2
m=2/2
m=1
f(x) = x^2. What is g(x)?
Answer:
B
Step-by-step explanation:
The coordinates are (1, 9).
x = 1
y = 9
Put x as 1, and the output should be 9.
g(1) = ( 3 (1) )²
g(1) = (3)²
g(1) = 9
Answer:
b
Step-by-step explanation:
B is correct since you could use a graphing calculator to solve this by plugging each answer choice into the calc.
another way is to plug 1 or x into each of the equations and see which choice has 9 as y
F(x) = 3x + 1 and f^-1=x-1/3
then f(2)
Input:
{F(x) = 3 x + 1, 1/f = x - 1/3 f(2)}
Result:
{F(x) = 3 x + 1, 1/f = x - f(2)/3}
Alternate forms:
{3 x + 1 = F(x), 3 x = f(2) + 3/f}
{F(x) = 3 x + 1, f(2) = 3 x - 3/f}
{F(x) = 3 x + 1, 1/f = 1/3 (3 x - f(2))}
Alternate form assuming f and x are positive:
{3 x + 1 = F(x), 3 f x = f(2) f + 3}
FOR 12 POINTS I NEED HELP ASAP! Consider the system of linear equations. 5 x + 10 y = 15. 10 x + 3 y = 13 To use the linear combination method and addition to eliminate the x-terms, by which number should the first equation be multiplied? –2 Negative one-half One-half 2
Answer:
Do you mean which equation should the 5x+10=15 be multiplied to?
it would be -2
Step-by-step explanation:
This is because 5 times -2 is -10
and so when you add the (now) x value of the first equation to the x value of the second equation, it gets 0
which makes it eliminated!
-10x+10x=0
Answer:
-2
Step-by-step explanation: