Answers
Answer:
a. x × (y + z) = -13/240
c. x × (y × z) = 1/24
Step-by-step explanation:
The given values of the variables are;
[tex]x = \dfrac{-1}{8} , y = \dfrac{-2}{5} \ and \ z = \dfrac{10}{12}[/tex]
a. x × (y + z) = (x × y) + (x × z), by distributive property
Plugging in the values gives;
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right)[/tex]
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \dfrac{-1}{8} \times \left (\dfrac{13}{30} \right) = \dfrac{-13}{240}[/tex]
[tex]\left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{1}{20} + \dfrac{-5}{48} = \dfrac{-13}{240}[/tex]
Therefore;
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{-13}{240}[/tex]
c. x × (y × z) = (x × y) × z
Plugging in the values for 'x', 'y', and 'z' gives;
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} \times \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) \times \left ( \dfrac{10}{12} \right) = \dfrac{1}{24}[/tex]
Related Questions
How many solutions does the system have?
4x−6y=−24
2x−3y=−6
Answers
Answer:
none
Step-by-step explanation:
if we plot it, it's clear, but you might also spot that the plotted lines will be parallel in the equation
because x and y in line two are the same multiple of these in line one (both values are just the half)
plotted with desmoes
select the right answer
Answers
Answer:
Blurry po
Step-by-step explanation:
Pwede kunan nyu ulit
What is the height of the pyramid ???
Answers:
A: 7cm
B: 5cm
C: 14 cm
D: 10 cm
Answers
Given:
[tex]m\angle ACD=45^\circ[/tex]
Point B is the center of the base.
Each side of the base = 10 cm
To find:
The height of the pyramid.
Solution:
It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, a is the side length of the square.
Putting [tex]a=10[/tex] in the above formula, we get
[tex]d=10\sqrt{2}[/tex]
It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,
[tex]BC=\dfrac{d}{2}[/tex]
[tex]BC=\dfrac{10\sqrt{2}}{2}[/tex]
[tex]BC=5\sqrt{2}[/tex]
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In triangle ABC,
[tex]\tan (45^\circ)=\dfrac{AB}{BC}[/tex]
[tex]1=\dfrac{h}{5\sqrt{2}}[/tex]
[tex]5\sqrt{2}=h[/tex]
[tex]7.0710678=h[/tex]
Round the value to the nearest integer.
[tex]h\approx 7[/tex]
The height of the pyramid is about 7 cm. Therefore, the correct option is A.
Identify the slope and y-intercept for the line y = -2x -3.
Answers
Answer:
The slope is -2 and the y intercept is -3
Step-by-step explanation:
y = -2x -3
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2 and the y intercept is -3
Convert 5 km 36 m into km
Answers
Answer:
5.036 km
Step-by-step explanation:
36 m ÷ 1000 = 0.036 km
5 km + 0.036 km = 5.036 km
Two complementary angles have measures 4x and x + 50. Find x.
Answers
Answer:
x =17
Step-by-step explanation:
Complementary angles add to 90
4x+ x+5 = 90
Combine like terms
5x+5 = 90
Subtract 5 from each side
5x+5-5 = 90-5
5x = 85
Divide by 5
5x/5 = 85/5
x =17
Pls help I don’t know how to do this
Answers
Answer:
the answer is D
BECAUSE it satisfied the conditions
To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expression 7.5x – 100, where x represents the number of items sold. The company’s operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit?
Answers
Answer:
106 items
Step-by-step explanation:
We are actually finding the "break even" point, where revenue = costs.
Set the revenue 7.5x - 100 equal to the costs 79.86 + 5.8x:
7.5x - 100 = 79.86 + 5.8x
Group the x terms together:
1.7x - 100 = 79.86
and then group the constants together on the right side:
1.7x = 179.86
Solving for x, we get 105.8 (items)
Round this up: 106 items
The company will begin making a profit as production passes 106 items.
Answer:
first one : 7.5x -100 > 79.86 + 5.8x
second one : x > 105.8
last one : 106
Step-by-step explanation:
What is the y-intercept of the function f(x) = -4.2^x
Answers
Answer:
[tex](0,-1)[/tex]
Step-by-step explanation:
The y-intercept always occurs when [tex]x=0[/tex]. To find the y-value of the y-intercept, substitute [tex]x=0[/tex] into your equation:
Given [tex]f(x)=-4.2^x[/tex], when [tex]x=0[/tex]:
[tex]f(x)=-4.2^0,\\f(x)=-(1)=-1[/tex]
Recall that [tex]n^0=1[/tex] for [tex]n\in \mathbb{R}[/tex]Therefore, the y-intercept of this function is [tex](0, -1)[/tex].
The following graphs have no scales assigned to them. Which of them could
not possibly be density curves for a continuous random variable if they were
provided with the right scale?
Check all that apply.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
E. Graph E
Answers
The graph A , graph C, could not possibly be density curves for a continuous random variable is they were provided with the right scale.
Given four graphs of different nature as options.
We are required to find the graph that is not continuous variable.
Continuous lines are those lines which when decreases, decreases with continuity and when increases,increases with continuity.
When we observe the graph A,graph C. In these graphs the value of function keeps increasing and decreasing a lot and not in continuity.
Hence graph A, graph C could not possibly be density curves for a continuous random variable is they were provided with the right scale.
Learn more about continuity at https://brainly.com/question/24637240
#SPJ1
Answer:
The answer is A, D, and E.
Step-by-step explanation:
help me solve for m<4 and m<5 and x
Answers
Answer:
x = 18
Angle 4 = 31 degree
Angle 5 = 59 degree
Step-by-step explanation:
According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.
Angle 4 + angle 5 = 90 degree
Angle 4 = 2 x - 5
angle 5 = 4 x - 13
So, according to the question,
2 x - 5 + 4 x - 13 = 90
6 x - 18 = 90
6 x = 108
x = 18
So, angle 4 = 2 (18) - 5 = 31 degree
So, angle 5 = 4 (18) - 13 = 59 degree
PLEASE HELP!!! If the quadratic equation has the form y = ax 2and y = ax 2+ c, then their axis of symmetry must always be?
Answers
Answer:
axis of symmetry , x = 0
Step-by-step explanation:
For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],
the axis of symmetry is the straight line [tex]x =- \frac{b}{2a}[/tex]
( i) Given equation y = ax² + 0x + 0
b = 0, therefore axis of symmetry is x = 0
( ii ) Second equation y = ax² + 0x + c
b = 0, therefore axis of symmetry is x = 0
Given the following system of equations, what value of x makes the equations true?
x+y= 3.25
x-y= 1.75
Answers
Explanation:
x+y=3.25 => y=3.25-x ——(1)
x-y=1.75 ——(2)
Substitute equation (1) in (2) then,
x-(3.25-x)=1.75
x-3.25+x=1.75
2x-3.25=1.75
2x=1.75+3.25
2x=5
x=5/2=2.5
Substitute vale of x in equation (1) we get
y=3.25-2.5
y=0.75
Therefore, x=2.5 , y=0.75
Which word describes the slope of the line?
O Positive
O Negative
O Zero
O Undefined
Answers
Answer:
Option (1)
Step-by-step explanation:
Slope of a line is defined by the rule,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Here, Rise and Run of the line are positive.
Therefore, sign of the slope of the line will be positive.
Option (1) will be the correct option.
can someone please help me with this i dont have much time left
Answers
Answer:
Step-by-step explanation:
sin A = opposite/hypotenuse
=5/13
cos A =adjacent/hypotenuse
=12/13
tan A =opposite/adjacent
=5/12
cosec A = hypotenuse/opposite
=13/5
sec A = hypotenuse/adjacent
=12/5
cot A = adjacent/opposite
=12/5
more help im dum lol
Answers
Answer:
32780
Step-by-step explanation:
Answer:
32,780
Step-by-step explanation:
It should be 30,000
Sean and sarah spend $70 a month eating out how much money would they have after 15 years if they invested the money instead at 4 percent compounded monthly round your answer to the nearest hundredth
Answers
Answer:
Future Value= $17,170.12
Step-by-step explanation:
Giving the following information:
Monthly deposit (A)= $70
Interest rate (i)= 0.04/12= 0.0033
Number of periods (n)= 15*12= 180 months
To calculate the future value (amount saved), we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {70*[(1.0033^180) - 1]} / 0.0033
FV= $17,170.12
WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior
Answers
Answer:
maybe it is corresponding
Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines
Answers
Answer:[tex]5x+3y+1=0[/tex]
Step-by-step explanation:
Given
The linear equation is [tex]5x+3y-9=0[/tex]
The other linear equation parallel to the given line can be represented by
[tex]5x+3y+c=0[/tex]
Here, c can take any value . for example c=1, line becomes
[tex]\Rightarrow 5x+3y+1=0[/tex]
someone help me answer these two
Answers
Range (9,0) to (6,3)
Not a function because two inputs cannot share the same output
2. Domain (1, 50) to (5, 200)
Range (1,50) to (5, 200)
Yes it is a function
Pls help me solve pls show how you got the answer
Answers
Answer:
48 length units
Step-by-step explanation:
area of each squre = 9
side length of each square = sqrt(9) = 3
Length of each side of grid = 4*3 = 12
Perimeter of grid = 4 sides = 4*12 = 48 length units
48length units
hope this helps
write this expression using numbers and symbols two less then six times a number
a. 2n-6
b.2n+6
c.6n-2
d.6-2
Answers
Answer:
d
Step-by-step explanation:
becaus ei did
The mean sustained wind velocity, v, can be determined by the equation v = 6.3 StartRoot 1013 minus p EndRoot, where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second? 103 millibars 194 millibars 363 millibars 910 millibars
Answers
Answer:
910 millibars
Step-by-step explanation:
According to the Question,
Given That, The mean sustained wind velocity equation [tex]v=6.3*\sqrt{1013-p}[/tex] And The mean sustained wind velocity is 64m/s (v=64) . where, p is the air pressure(in millibars).Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is
[tex]64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\[/tex]
on squaring both sides we get,
(10.1587)² = 1012 - p ⇒ p = 908.80≈910millibar
p = 910millibars air pressure .
Answer: 910
Step-by-step explanation: Did the review and got it right
f(x) = x^2. What is g(x)?
Answers
Answer:
This becomes way easier if you have the knowledge of inverse functions.
Let me make this clear. You have f(x)=x2+1 f(x)=x2+1 and g(f(x))=1/(x2+4)g(f(x))=1/(x2+4). Now pause and think about the second function. The function is defined as g(f(x))g(f(x)), right. now what if there is some way that you could manipulate this function and some how change it to g(x)g(x). Or think about with what other function should you multiply f(x)f(x) [the function in g(f(x))g(f(x)) ] to get xx [so that the function would be g(x)g(x)]. It is f(x)−1f(x)−1 right.
So let us find f(x)f(x) inverse. f(x)=x2+1f(x)=x2+1 then f(x)−1=x−1−−−−−√f(x)−1=x−1 right [ just swipe the xx with f(x)
Any help on this please ?
Answers
Answer:
x=35
Step-by-step explanation:
because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.
the equation would be:
180=x+14 +4x -9
add the like terms
180=5x =5
then subtract 5 from both sides
175=5x
then divide five from both sides
x=35
Over 5 straight plays, a football team gained 8 yards, lost 4 yards, gained 7 yards, gained 3 yards, and lost 11 yards. What is the team's position no compared to their starting position? WILL GIVE BRAINLIEST ALSO BE CORRECT PLS THX
Answers
Which function graph is shown
Answers
Answer:
A) y=3cos(-x)
Step-by-step explanation:
Because the amplitude of the graph is 3, this eliminates options C and D as their amplitudes are different. With the period of the graph being 2π, B cannot be correct because that would have a period of π/2. Therefore, A is correct.
Como se encuentra la mediana?
Answers
Answer:
Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.
Step-by-step explanation:
que tenga un lindo día
10 points!
If you are going to answer, actually answer!
Answers
Answer:
1/27
Explanation:-
(1/3)^3=(1x1x1)/(3x3x3)=1/27
Answer:
0.03703703703 or
²/27
sorry i am late but still hope I helped
Step-by-step explanation:
answer please? a girl needs help like right now:))
Answers
Answer:
No
Step-by-step explanation:
