Answer:
( 1 ; -2 )
Step-by-step explanation:
x + 3y = -5..............1
5y - 10 = -20x........2
x = -5 - 3y..............3
5y - 10 = -20( -5 - 3y)
5y - 10 = 100 + 60y
-55y = 110
y = -2
x = 1
A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime data was five years. Which of the following is the best interpretation of this value?
Fifty percent of the light bulb lifetime data is below five years.
The difference between the longest and shortest light bulb lifetime was five years.
The lifetime of the light bulbs typically varies by about five years from the mean.
The middle half of the light bulb lifetime data has a range that is five years wide.
The difference between the longest and shortest light bulb lifetime was five years is correct interpretation so option (B) will be correct.
What is the standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
In other meaning, standard deviation shows the deviation of the value of data from the mean.
Standard deviation is how much-given data is deviate from the mean of it.
So the difference between the longest to shortest gives an idea about this deviation.
Hence "The difference between the longest and shortest light bulb lifetime was five years is a correct interpretation".
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Which number set correctly represents the range of the given data?
{(0, 0), (2, 0), (3, 0), (5, 0)}
{0, 2, 3,5)
{0, 2, 3)
{0,2)
(0)
Answer:
I would assume {0, 2, 3, 5}
Step-by-step explanation:
I would assume that answer because all three are given in the range of the given data set.
Answer:
The answer is [0] (D)
Step-by-step explanation:
Given the fact that the Range is Y value, we see 0,0,0,0
So its 0
Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Given parameters:
Mass of the earth = 5.9726 x 10²⁴kg
Mass of percent water on earth = 5 x 10⁻⁴% of the total mass of the earth
Unknown:
Mass of water on earth = ?
Solution
This is pretty straight forward;
Mass of water on earth = mass percent of water x mass of earth
Input the parameters and solve;
Mass of water on earth = [tex]\frac{5 x 10^{-4} }{100}[/tex] x 5.9726 x 10²⁴
= 5 x 10⁻⁴ x 10⁻² x 5.9726 x 10²⁴
= 5 x 5.9726 x 10⁻⁴⁺⁽⁻²⁾ ⁺²⁴
= 29.863 x 10¹⁸kg
or 2.9863 x 10¹⁹kg
Mass of water on earth is 2.9863 x 10¹⁹kg
For the following exercises, rewrite the quadratic functions in standard form and give the vertex. Standard form is y=a(x-h)²+k
6.) f(x) = x² – 12x + 32
8. f(x) = x² - x
10. h(x) = 2x² + 8x - 10
Joe has $800 to spend on a new dining room table and chairs. If the sales tax is 8%, how much can he afford to spend on the table and chairs?
Answer:
no
Step-by-step explanation:
800x8%=64
64+800=864
Answer:
$736
Step-by-step explanation:
800 x (100% - 8%)
800 x 92%
=736
Write the following equation in slope intercept form:
y + 9 = 3(x - 1)
The slope intercept form of the given equation y + 9 = 3(x - 1) is
y =3x-12 .
What is slope intercept form ?
The slope intercept is a form of two variable linear equation in x, y is given by
y = m x + c
y is y coordinate, x is x coordinate , m is called slope , c is y intercept
For the given equation
y + 9 = 3(x - 1)
⇒ y + 9 = 3x -3
Subtracting 9 from both sides of this equation, we get
⇒ y+9-9 = 3x-3-9
⇒ y = 3x - 12
This is the slope intercept form with m = 3 and c = -12
Therefore , the slope intercept form of the equation y + 9 = 3(x - 1) is
y =3x-12
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Which product is negative?
0 -3.4.(-2) · (–7)
0 -3.5.(-6). 4
0 -4.(-6) · (-3) - (-5)
0 -7.(-3) · (–9). O
Answer:
The answer would be -3.5.(-6). 4
Step-by-step explanation:
H-E-B sells steak for $6.10 per pound. What would be the cost of 2.6 pounds of steak
Answer:
the answer is $15.86
PLEASE HELP ME MY TEACHER IS MAKING ME REDO THIS AND I'M GONNA FAIL HER CLASS IF I DON'T FINISH THIS
Answer:
8 3/4 ?
Step-by-step explanation:
divide
srry if its not what your looking for
1.
Solve -x + 9x = -4
Solution x= and x =
Answer:
x = - 1/2Step-by-step explanation:
-x + 9x = -4
8x = -4
x = -4/8
x = -1/2
The length of rectangle is 5 cm greater than its width. The perimeter is 106cm. Find the dimensions of the rectangle.
Width-24 Length-29
Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).
The Corner Cafe offers a 10% off senior citizen discount. If Mr. and Mrs. Schmidt order $36.00 worth of food and are senior citizens, how much can they expect to save?
Answer:
$3.60
Step-by-step explanation:
$36.00 × 10%= $3.60
of equ
final equation is a true sta
A 4x - 3= 2x + 13
Answer:
8
Step-by-step explanation:
Step 1:
4x - 3 = 2x + 13 Equation
Step 2:
4x = 2x + 16 Add 3 on both sides
Step 3:
2x = 16 Subtract 2x on both sides
Step 4:
x = 16 ÷ 2 Divide
Answer:
x = 8
Hope This Helps :)
Answer:
x=8
Step-by-step explanation:
4X-3=2x+13
+3. +3
4X=2x+16
-2x. -2x
2x=16
/2. /2
x=8
To which set or sets of numbers does the number 5 belong?
Answer:
what are the options
Step-by-step explanation:
i would help but I don't know what to answer
What type of number is 8/2?
Choose all answers that apply:
А
Whole number
B
Integer
C
Rational
D
Irrational
Answer:
A,B,C
Step-by-step explanation:
It is A because 8/2 simplifies to 4 which is a whole number.
4 is an integer, idk if its asking for 8/2 as itself but a fraction isnt an integer.
The fraction above is obviously rational number.
All the types for the number 8/2 is,
A. Whole number
B. Integer
C. Rational
Given that,
The number is,
⇒ 8/2
Now, simplify the number as,
⇒ 8/2
⇒ 4
Clearly, 4 is a whole number and it is an integer.
Here, 4 is written as, 4/1
So, it is also an rational number.
So, the correct options are,
A. Whole number
B. Integer
C. Rational
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Find the slope of a line graphed below
Answer:
Slope is 2/5x
Step-by-step explanation:
Find the intercepts of the given line:
y=−6x+21
Answer:
x-intercept = 3.5y-intercept = 21Step-by-step explanation:
x-intercept is for y = 0
y-intercept is for x = 0
Substitute
For y = 0
-6x + 21 = 0 |subtract 21 from both sides
-6x = -21 |divdie both sides by (-6)
x = -21/(-6)
x = 21/6
x = 3.5
For x = 0
y = -6(0) + 21
y = 0 + 21
y = 21
is negative 2 rashihol
Answer:
Yes, -2 is a "rashihol" number
Solve for x: [x] - 8 = -5
O x = -13 and x = -3
O x = 3 and x = -3.
O x = 3 and x = 13
O No solution
Evaluate -9x-2 when x=-4
Answer:
34
Step-by-step explanation:
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+ 16x– 4 = ?
Answer:
Step-by-step explanation:
If you factor out the greatest common factor (4), your expression should be
4 (x^2 + 4x - 1)
Answer:
[tex]4(x^2+4x-1)[/tex]
Step-by-step explanation:
Find the 84th term of the arithmetic sequence -5,15,35, ...
The 84th term of the sequence is 1655
How to determine the 84th term?The arithmetic sequence is given as:
-5, 15, 35, .....
The above sequence has the following parameters:
Initial value, a = -5Common difference, d = 20The nth term of the sequence is:
Tn = a + (n - 1) * d
So, we have:
T84 = -5 + (84 - 1) * 20
Evaluate
T84 = 1655
Hence, the 84th term of the sequence is 1655
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Simplify by dividing 3/5 divide by (-4/9).
Answer:
a)-27/20
Step-by-step explanation:
3/5 ÷ (-4/9)
3/5 × (-9/4)
-27/20
Hope it will help
at the zoo there are 3 times
Answer:
at the zoo there are 3 times what?
Step-by-step explanation:
Norman answered the following question below lilith brought 20 cans to the food drive marcus brought 7 cans to the food drive if Paulina brought 8 more cans than lilith and marcus Combined, how many cans did Paulina bring. explain you answer
Answer:
100 is a cool number
Step-by-step explanation:
i also ate a rock
Can someone help me
Answer:
Su=10
Explaination:
So from s to u on the nunebr line is worth 2x-12. So what is s to u worth? Well. S to t on the number line = x-7. T to u =6. And 2 x is worth 12 more than s to u, using th e expression. X has to be at least 8 because otherwise the x-7 wouldn't work, and u might get s to u = 0 or a negative number.
Say x was 13, then 13 - 7 =6. So S to t =6. And r to u =6. So s to u =12. (6+6). Then check if the expression fits this answer of 12. 2x - 12. 2x = 26. 26-12=14, which doesn't match.
Let's try 14. 14-7=7. Then s to u = 7+6=13. The expression: 2x= 28. 28-12=16. 13 and 16 dont match. So we have got further away from what we need. Why don't we try going in the opposite direction. Rather than testing 13 and +1, let's now - 1 and try 12.
If x=12, then s to t =12-7=5. And s to u =6+5=11. The expression: 2x=24.-12=12. We are very close now with 11 and 12.
Lets test x=11!
S to t = 11-7=4. 4+6=10. So s to u =10.
2x=22. 22-12=10. So the expression works and the number line measurements.
The answer is su=10 and x=11.
Find the difference: 34.14 - 67.42
Answer:
the answer is -33.28
Step-by-step explanation:
Click on the correct answer.
\(\frac{2}{5}\div2\frac{1}{4}\)
a:\(\frac{8}{45}\)
b:\(\frac{9}{10}\)
c:\(1\frac{1}{9}\)
d:\(5\frac{5}{8}\)
Answer:
A
Step-by-step explanation:
i am smart
Evaluate the function for the indicated input
[tex]f(0)=0^2+0-6=\boxed{-6}[/tex].
Hope this helps.
Find the equation, in standard form, of the line passing through the points
(2,-3) and (4,2).
A. 5x+2y=16
B. 5x – 2y=16
C. y=5/2x+8
D. 2x – 3y=9
Answer:
B
Step-by-step explanation:
To solve for the slope:
(2-(-3))/(4-2)=5/2
y=5/2x+b
plugin points:
2=5/2(4)+b
2=10+b
b=-8
so equation of the line is y=5/2x-8
and in standrd form its 5x-2y=16