An equation in the form x = a , where a is a constant can never be a function.
What is a function?
A function is defined as a relation between a set of inputs having one output each.
In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Every function has a domain and codomain or range.
A function is generally denoted by f(x) where x is the input.
The general representation of a function is y = f(x).
According to the given question:
An equation is in the form x = a , where a is a constant.
This equation is a vertical line parallel to y axis. For a function a relation of y = f(x) is missing in the given equation since a is a constant.
Hence, x = a can never be a function.
To know more about function visit
https://brainly.com/question/28303908
#SPJ1
Brainlest and points !! Picture included
A sixty-minute television program has 5 commercial breaks. Each break lasts 2 minutes. Write a numerical expression that represents the length of the program without commercial breaks. *
Answer: 60 - 10
Step-by-step explanation:
There are 5 commercial breaks with each of the breaks lasting 2 minutes.
Commercial breaks in total therefore last:
= 5 * 2
= 10 minutes.
The program is a 60 minute program so to find the amount of time the program lasts without the commercials, the expression is:
= 60 - 10
It lasts 50 minutes without commercials.
In ΔIJK, the measure of ∠K=90°, KJ = 63, IK = 16, and JI = 65. What ratio represents the sine of ∠I?
Devonte is 7 years older than Hanna. In 7 years the sum of their ages will be 83. How old is Devonte now?
Answer:
Hannah = 34 and 1/2
Devonte = 41 and 1/2
Step-by-step explanation:
Hanna = x
Devonte = x+7
x+x+7=83-7
2x+7=76
2x=76-7
2x=69
x=34.5
Hannah = x = 34.5
Devonte = x+7 = 41.5
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
Select which correctly describe the 92% confidence interval. (Select all that apply.)
a. We are 92% confident that the mean height of the entire business is larger than this interval.
b. The upper height represents the 92nd percentile.
c. We are 92% confident that the mean height of the entire business is in this interval.
d. The 92% confidence interval is a subset of the 85% confidence interval.
e. We are 8% confident that the mean height of the entire business is in this interval.
f. The 85% confidence interval is a subset of the 92% confidence interval.
d. 92 employees have heights in this interval.
e. 92% of employees have heights in this interval.
Answer:
c. We are 92% confident that the mean height of the entire business is in this interval.
f. The 85% confidence interval is a subset of the 92% confidence interval.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
Margin of error:
The larger the confidence interval, the larger the margin of error. That means that for example, an 85% confidence interval is a subset of the 92% confidence interval.
In this question:
92% confidence interval -> We are 92% sure that the population mean is in this interval.
The 85% confidence interval is a subset of the 92% confidence interval.
So options c and f.
Complete the following table based on Absolute and Relative change. (Write your relative change as a percentage with a percent sign rounded to the nearest whole percent.)
Time
Value
Absolute Change
Relative Change
0
13.60
1
17.00
2
21.25
3
26.56
4
33.20
5
41.50
The relative change is solved as percentages and the absolute change is also solved
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the initial value be represented as A = 13.60 at time t = 0
Now , when the value is changed to 17.00
The absolute change = 17.00 - 13.60 = 3.40
The relative change = 3.40 / 13.60 = 0.25 = 25 %
Now , the percentage = 25 %
And , when the value is changed to 21.25
The absolute change = 21.25 - 17.00 = 4.25
The relative change = 4.25 / 17.00 = 0.25 = 25 %
And , when the value is changed to 26.56
The absolute change = 26.56 - 21.25 = 5.31
The relative change = 5.31 / 21.25 = 0.25 = 25 %
Now , the percentage = 25 %
And , when the value is changed to 33.20
The absolute change = 33.20 - 26.56 = 6.64
The relative change = 6.64 / 26.56 = 0.25 = 25 %
And , when the value is changed to 41.50
The absolute change = 41.50 - 33.20 = 4.25
The relative change = 8.3 / 33.20 = 0.25 = 25 %
Now , the percentage = 25 %
Hence , the relative change is given by the equation A = 25 %
To learn more about percentage click :
https://brainly.com/question/12861068
#SPJ1
An atom of gold has a mass of approximately 3.25 x 10-22 grams. What is the mass of
7000 atoms of gold? Express your answer in scientific notation.
Please guys helppp ;( F(x)=mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer:
73) C) -1
74) D) 1
Step-by-step explanation:
The only combination that equals 3 is
f(x)=(-1)(-2)+1=3
73) -1
74) 1
What is the volume? 3 m 1 m cubic meters
Answer:
9 cubic meters
Step-by-step explanation:
V = lwh
V = 1 by 3 by 3
Answer:
9 cubic meters
Step-by-step explanation:
1x3x3=9
How do you do the half and sum of the equation?
Answer:
13x - 4
Step-by-step explanation:
Hi,
5(3x -1)
-1/2(4x - 2)
To add...
5(3x - 1) + -1/2(4x - 2)
15x - 5 - 2x + 1
13x - 4
That's your answer :)
I hope this helps!
Kaitlyn is walking on a treadmill at a constant pace for 28 minutes. She has programmed the treadmill for a 2-mile walk. The display counts backward to show the distance remaining. Enter and graph the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking. Then, find and compete the interpretation of the x- and y-intercepts.
Quick for 15 points. William was playing a board game that had a spinner with six equal-sized sections. Three of
the sections were red, two sections were blue, and one section was yellow. Find the probability
that he landed on a purple section.
Ratio:
Percent:
Add the product of 2 and 5 to the product of 9 and 8
Answer:
82
Step-by-step explanation:
2*5 + 9*8 = 10 + 72 = 82
Answer:
82
Step-by-step explanation:
product means multiply 2*5= 10 9*8= 72
10 + 72 = 82
What is the value of X PLEASE HLEPPP
Answer:
Using the formula,(x= base×height).
And the formula, (6+6×).
The answer should be: (A) 12
Step-by-step explanation:
Hope this helps! Have a good day/or night!
P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!
Volume by multiplying area of base times height
Answer:v= x a h add then multiply
Step-by-step explanation:
Please help! Picture attached!
Answer:
6.2
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(5.5−1)2+(9.25−5)2(5.5-1)2+(9.25-5)2
= √4.52+4.2524.52+4.252
= √20.25+18.062520.25+18.0625
= √38.312538.3125 = 6.1897
A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to
-10 feet -
1 foot
3 feet
7 feet
3 feet
7 feet
2 feet
09 cubic feet
O 10 cubic feet
0 98 cubic feet
0 107 cubic feet
The Volume of dirt required for the Margo's garden which is made of 2 rectangular prisms is, 107 cubic feet, So option D is correct
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within closed region of every three dimensional objects.
In given problem, we have two rectangular prisms
One has sides (1 feet, 3 feet, 3 feet)
Another one has sides (2 feet, 7 feet, 7 feet)
Volume of a rectangular prism = Length×Height×Width
Volume of a rectangular prism 1 = 3×1×3 = 9
Volume of a rectangular prism 2 = 7×2×7 = 98
Total Volume = 107
Hence, Total dirt required 107 cubic feet
To know more about Volume check:
https://brainly.com/question/13338592
#SPJ1
Where is Point A located on the coordinate grid?
Answer:
Quadrant 11
Step-by-step explanation:
Quadrant 2 mark as brainllest
Clara bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly?
Maya’s work:
StartFraction b Over 12 EndFraction = 16. b = 1.3
Larissa’s work:
12 b = 16. b = 1.3
Sally’s work:
StartFraction b Over 12 EndFraction = 16. b = 192.
Anika’s work:StartFraction 12 Over b EndFraction = 16. b = 192.
Answer:
Sally is correct
Step-by-step explanation:
[tex]\frac{b}{12} =16[/tex]
to solve for b we can multiply both sides by 12 to get b alone.
b = 16 × 12
b = 192
What is the product of (t – 4) (t? + 2t - 6)?
Answer:
Step-by-step explanation:
(t - 4) (t + 2t - 6)
= t2 + 2t2 - 6t - 4t - 6t + 24
= Solving like terms
= 3t2 - 16t + 24
What is the approximate value of this logarithmic expression?
9514 1404 393
Answer:
B. 1.80
Step-by-step explanation:
The change of base formula can be used.
[tex]\log_5(18)=\dfrac{\log{18}}{\log{5}}\approx\dfrac{1.25527}{0.69897}\approx1.7959\\\\\boxed{\log_5{18}\approx1.80}[/tex]
_____
Some calculators can compute the value for you directly.
What is the area of the square? It has a side of 5 mm.
Please help i give brainliest
If , p x 6= 36 what is p? A. 1/6 B. 6 C. 216 D. 180
PLEASSEEEEEE
Answer:
6
Step-by-step explanation:
All you need to do is the inverse operation: 36 divided by 6, which is 6!
When I solved this quadratic using the square root property, I am not sure if i did it correctly and I am not sure if there should be two x solutions.
Answer:
yup your answer is right
Step-by-step explanation:
two x solutions are +2√3
+2√3 can be written as +2√3 or -2√3
Answer:
yesssss you are rightttt
Find the volume of the sphere. Radius is 1
Hi there!
[tex]\large\boxed{V = 4/3\pi \text{ or } \approx 4.19 \text{ } units^{3}}[/tex]
Find the volume of a sphere using the following equation:
V = 4/3πr³
Substitute in the given radius:
V = 4/3π(1)³
V = 4/3π or ≈ 4.19 units³
Answer:
32/3π on khan academy
Step-by-step explanation:
Pleaseeee helpp which one is it and whyyyy!!!!
Answer:
answer is A
Step-by-step explanation:
What is the quotient when (x+ 2) is divided into the polynomial 2x2 - 2x - 12?
O A. 2x-5 with no remainder
O B. X+ 3 with a remainder of -2
O C. 2x-3 with a remainder of 5
O D. 2x-6 with no remainder
Answer:
2x² - 2x - 12 ÷ (x+2)
= 2x - 6
D. 2x-6 with no remainder
The quotient when (x + 2) is divided into the polynomial 2x² - 2x - 12 is, (2x - 6) with no remainder.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
To find the quotient when (x + 2) is divided into the polynomial
2x² - 2x - 12.
Now,
The polynomial is,
⇒ 2x² - 2x - 12
⇒ 2 (x² - x - 6)
⇒ 2 (x² - 3x + 2x - 6)
⇒ 2 [ x (x - 3) + 2(x - 3) ]
⇒ 2 [ (x + 2) (x - 3) ]
Hence, We can divide polynomial by (x + 2) as;
⇒ 2 [ (x + 2) (x - 3) ] ÷ (x + 2)
⇒ 2 (x - 3)
⇒ 2x - 6
Therefore, the quotient when (x + 2) is divided into the polynomial
2x² - 2x - 12 is, (2x - 6) with no remainder.
Learn more about the divide visit:
brainly.com/question/28119824
#SPJ7
Compare the graph of g(x) = 6x2 with the graph of f(x) = x2.
Answer:
see explanation
Explanation:
the graph of g(x) is the graph of f(x) shifted vertically by
+ 6 units
or equivalent to a translation
(
0
6
)
in general
g
(
x
)
=
x
2
±
a
for
a
>
0
shift is
(
0
a
)
↑
⏐
⏐
⏐
⏐
for
a
<
0
shift is
(
0
−
a
)
⏐
⏐
⏐
⏐
↓
graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}
Step-by-step explanation:
Find the value of x
Answer: 38
Step-by-step explanation: