Answer:
{30}
Step-by-step explanation:
The solution set can be written a couple of ways:
Roster: lists the elements of the set:
x = {30}
Set builder notation: defines the elements of the set according to some rule or rules
{x : x = 30}
The latter form can have variations that define the domain of x on the left, such as
[tex]\{x\in\mathbb{Z}:x=30\}[/tex]
This is pronounced, "x is an element of the set of integers such that x is equal to 30." This sort of notation is more commonly used when the set is specified by an inequality or a functional relationship. You may see the colon (:) replaced by a vertical bar (|).
_____
Comment on the above notations
I don't like the notation x = {30} because the solution to the equation is a value, not a set of values. I prefer to write it as x ∈ {30}. "x is an element of the set containing 30." The "is an element of" symbol (∈) is not always available, so the equal sign is often used instead.
- 3/5 + - 8/2 = in simplified way.
Answer:-23/5
Step-by-step explanation:
-3/5-8/2
-3/5-4
-3+20/5
-23/5
Answer:
-23/5
Step-by-step explanation:
-3/5 + - 8/2
Find the least common multiple of 5 and 2.
That would be 10.
That means we have to multiply the first fraction by 2/2 and the second one by 5/5
-3/5*2/2
Multiply the numerators together and the denominators together.
-6/10
Repeat with the second fraction.
-8/2*5/5
-40/10
Our new expression is
-6/10+-40/10
-46/10
Simplify
-23/5
As a mixed number that would be:
-4 3/5
what is α3 = -343 answer
Answer:
a3= -343
divade both side by 3 to make a the subject
a3/3= -343/3
a = -114.3
PLEASE HELP! Simplify radical square root -48
Answer:
B
Step-by-step explanation:
4×4×3=48
4 comes out.
a - never comes out of radical and stays in the radical with 3.
the simplest way I could explain
Answer: OPTION 3
Step-by-step explanation:
First of all, you need to know the concept of imaginary number or i.
i (imaginary number)=√-1
-----------------------------------------------
√-48=√16 × √3 × √-1 ⇔ This splitting is just help you to understand better.
√16=4 ⇔ This is a perfect square
√3=√3 ⇔ Nothing to change
√-1=i ⇔ imaginary number as mentioned before.
√-48=√16 × √3 × √-1
√-48=4 × √3 × i
√-48=4i√3
What are the angle measures?
Answer:
m1 - 120
m2 - 60
m3 - 60
m4 - 60
m5 - 30
A triangle is 180 degrees. An equilateral triange's angles are all the same.
This histogram shows the percentage of the population that smokes tobacco for 123 countries. Which one of the following values is the most reasonable estimate for the IQR?
Answer:
9.5
Step-by-step explanation:
The formula for interquartile range = Third Quartile - 1st Quartile
= Q3 - Q1
Looking at the histogram given, the class width = 6
Step 1
We find the number of values = n
n = 1 + 12 + 26 + 27 + 31 + 19 + 6 + 1
= 123
Frequency Cumulative Frequency
1 1
12 13
26 39
27 66
31 97
19 116
6 122
1 123
Step 2
We find Q1 ( First Quartile)
Q1 =1/4 (n + 1) value
Q1 = 1/4(124) value
= 31st value
The first Quartile = 31st value
31 - 13 = 18
31st value = 12 + (18/26 × class width)
= 12 +( 18/26 × 6)
First Quartile = 16.153846154
Third Quartile =Q3 =3/4 (n + 1) value
Q1 = 3/4(124) value
= 93rd value
The first Quartile = 93rd value
93 - 66 = 27
93rd value = 1 + (27/97 × class width)
=24 +( 27/97 × 6)
Third Quartile= 25.670103093
Interquartile range = Q3 - Q1
= 25.670103093 - 16.153846154
= 9.5162569392
Approximately = 9.5
Inter Quartile range = 9.5
One megabyte of cell phone storage space is 2^{20} bytes. An app uses 4^4 megabytes of storage space. How many bytes of storage space does the app use? Write your answer as a power of 2.
Answer:
2²⁰ bytes
Step-by-step explanation:
Given
[tex]Phone\ Storage = 2^{20}\ bytes[/tex]
[tex]App\ Storage = 4^4\ megabytes[/tex] of phone storage space
Required
Determine the storage space of the app in bytes
To answer this, we simply multiply the app storage by the phone storage
This gives:
[tex]Total = 2^{20} * 4 ^4[/tex]
Express 4 as 2²
[tex]Total = 2^{20} * 2^2^* ^4[/tex]
[tex]Total = 2^{20} * 2^8[/tex]
Apply Laws of Indices
[tex]Total = 2^{20+8}[/tex]
[tex]Total = 2^{28}[/tex]
Hence, the storage space of the app is 2²⁰ bytes
is y=1.25x proportional
write the equation of a line in any form that is parallel 2y = 4x + 8 through the point of (1,3) plz and thank you
Answer:
y = 2x+1
Step-by-step explanation:
[tex]2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1[/tex]
Step-by-step explanation:
Hey, there!!
Here, the given point is (1,3).
Now, Using one point formula we need to find the equation of the line passing through point (1,3).
Now,
[tex](y - y1) = m1(x - x1)[/tex]
Keeping values,
[tex](y - 3) = m1(x - 1)[/tex]
It is the 1st equation.
Similary, you have another equation,
2y = 4x + 8..............2nd equation.
or, 4x - 2y +8 =0
M2 from equation 2,
[tex] = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex] = \frac{ - 4}{ - 2} [/tex]
Therefore, m2 = 2
Now,
As per the condition of parallel lines,
m1 = m2 = 2
Now, substituting the value of m1 in equation 1st.
(y-3) = 2 (x-1)
y-3 = 2x - 2
or, 2x-y+1 = 0 ......is the required equation.
Hope it helps...
Find the real solution.
Answer:
i think it should be no solution
Answer:
X=5/2
Step-by-step explanation:
Multiply both sides by 12 since it is the lcm
[tex] 4 \times 2x - 6x = 5 \\ 2x = 5 \\ x = \frac{5}{2} [/tex]
Name the intersection of lines r and a.
Answer:
point B
Step-by-step explanation:
the lines intersect at that point
How do you solve 5+25:5x8-2
I hope I helped you
Step-by-step explanation:
First you solve: 25:5=?
After: the number you find×8=?
And:?+5=?
The number -2
Explain how to round a number when three is a digit to the right of the rounding place
Answer:
if the number is 5 or higher, you round up.
if the number is 4 or lower, you round down.
96.57 → 96.6
96.53 → 96.5
Abel currently has a balance of $10,986.50 in an account he has held for 25 years. He opened the account with an
initial deposit of $5,110. What is the simple interest rate on the account?
A. 4.0%
B. 2.1%
C.8.6%
D.4.6%
You randomly draw a marble from a bag of marbles that contains 7777 blue marbles, 2222 green marbles, and 1111 red marble. What is P(not draw a blue marble)\text{P(not draw a blue marble})P(not draw a blue marble)start text, P, left parenthesis, n, o, t, space, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, end text, right parenthesis? If necessary, round your answer to 2222 decimal places.
Answer:
0.3
Step-by-step explanation:
There are:
Blue marbles = 7777Green marbles = 2222Red marbles = 1111Total marbles:
7777 + 2222 + 1111 = 11110Then:
P ( not blue) = (2222+1111)/11110 = 0.3Answer is: the probability of not draw a blue marble is 0.3
Find an equation for the linear function which has a slope of 8 and x intercept of 5
Answer:
y = 8x-40
Step-by-step explanation:
The slope intercept form of a line is
y= mx+b where m is the slope and b is the y intercept
We know the slope is 8 and the x intercept is 5 ( 5,0)
y = 8x +b
Substitute the point into the equation
0 = 8(5)+b
0 = 40+b
b=-40
The equation is
y = 8x-40
A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble?
Answer:
if its fractions then 1/4 if its percentage then 25%
Step-by-step explanation:
The first element in the periodic table is
Answer:
Step-by-step explanation:
Hydrogen
Answer:
Hydrogen
Step-by-step explanation:
Look at the periodic table.
Also, has the lowest attomic number.
write the expression without using exponents (-2y)^4
Answer:
16yyyy
Step-by-step explanation:
Getting rid of exponents:
(-2y)^4 = (-2)^4*y^4 =16yyyyStep-by-step explanation:
(-2y)^4
= (-2) ^4 ( y) ^4
= (16) (yyyy)
= 16yyyy
find the value of a in the equatuion 5 over a+3 =3 over a-2
Answer:
9.5
Step-by-step explanation:
5/(a+3)=3/(a-2)
5(a-2)=3(a+3)
5a-10=3a+9
5a-3a=9+10
2a=19
a=9.5
M
Which angles are congruent to the given angle measure?
1, 4 and 7 angles are congruent to 56°
hope this helps ^-^
In the data set below, what is the variance?
6 7 2 1 8 29
In the data set below, what is the variance?
6 7 2 1 8 29
s^ 2 ≈ 105.368
5 2/3 + 3 1/2 =
Your answer
Answer:
9 1/6
Step-by-step explanation:
Add the whole numbers: 5+8
Combine the fractions by making their denominator the same: 7/6
Add 6/6 = 1 so add to the whole numbers to make this a mixed fraction.
Answer:
9 1/6
Step-by-step explanation:
5 2/3 + 3 1/2 =
We need to get a common denominator of 6
5 2/3 *2/2 = 5 4/6
3 1/2 *3/3 = 3 3/6
5 4/6 + 3 3/6
8 7/6
8+ 6/6 + 1/6
8 + 1 + 1/6
9 1/6
How many inches are in 14 feet, 8 inches? Enter only the number. Do not include units
Answer:
176
Step-by-step explanation:
14x12 = 168 + 8 = 176
There are 176 inches in 14 feet, 8 inches.
To find the total number of inches in 14 feet, 8 inches, we need to convert the feet to inches and then add the inches.
So, 14 feet = 14 x 12
= 168 inches.
Adding the extra 8 inches, the total is:
= 168 inches + 8 inches
= 176 inches.
Therefore, there are 176 inches in 14 feet, 8 inches.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
#SPJ6
Please help me out with this
Answer:
-5^11Step-by-step explanation:
[tex]\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5+6}\\\\=\left(-5\right)^{11}\\\\=-5^{11}[/tex]
A person earns $32600 one year and receives a 5% rise in salary what is the new salary
Answer:
$34,230
Step-by-step explanation:
Total Salary = Base Salary + Increase
Total Salary = 32600 + (32600)(0.05)
Total Salary = $34,230
Solve: log (2x + 1) = log (x - 1).
Answer:
no solution
Step-by-step explanation:
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
2 x + 1 = x − 1
Solve for
x .
x = − 2
Exclude the solutions that do not make
log ( 2x + 1 ) = log
( x − 1 ) true.
No solution
What x values would be good to use so she does not get fractions for her y values when making the table of ordered pairs.
Answer:
-3, 0, 3
Step-by-step explanation:
Given, [tex] y = -\frac{4}{3}x + 2 [/tex], the set of x values that will make Kayda not to get y values that are not fraction are -3, 0, 3.
This is so, because,
when x = -3, [tex] y = -\frac{4}{3}(-3) + 2 = \frac{12}{3} + 2 = 4 + 2 = 6 [/tex]
when x = 0, [tex] y = -\frac{4}{3}(0) + 2 = -0 + 2 = 2 [/tex]
when x = 3, [tex] y = -\frac{4}{3}(3) + 2 = \frac{-12}{3} + 2 = -4 + 2 = -2 [/tex]
The correct response is -3, 0, 3
please assist me with this problem: part 11
Answer:
a² = b² -w² +2wx
Step-by-step explanation:
The algebra is pretty straightforward. Expand the expression in parentheses and add x².
b² -(w -x)² = e² = a² -x²
b² -(w² -2wx +x²) = a² -x² . . . . . expand the square
b² -w² +2wx -x² = a² -x² . . . . . . distribute the minus sign
b² -w² +2wx = a² . . . . . . . . . . . . add x²
The data below are the temperatures on randomly chosen days during the summer and the number of employee absences at a local company on those days. Construct a 95% prediction interval for y, the number of days absent,
given x = 95 degrees and y= 0.449x - 30.27
Temperature, x 72 85 91 90 88 98 75 100 80
Number of absences, y 3 7 10 10 8 15 4 15 5
Answer:
12.385; (10.0, 14.7)
Step-by-step explanation:
Given the following information :
Temperature, x 72 85 91 90 88 98 75 100 80
Number of absences, y 3 7 10 10 8 15 4 15 5
The obtained regression equation:
y= 0.449x - 30.27
Where y = predicted variable ; x = independent variable ; - 30.27 = intercept and slope = 0.449
Constructing a 95% prediction interval for y:
x = 95°
Inputting x = 95 into the regression equation :
y= 0.449(95) - 30.27
y = 42.655−30.27 = 12.385
Prediction interval = y ± error margin
To save computing time, error margin (E) can be obtained using the online error margin calculator.
Obtained error margin (E) value = 2.3398
(12.385 - 2.3398, 12.385 + 2.3398)
(10.0452, 14.7248)
(10.0, 14.7)
Please help me. It’s from my math class
Answer:
he would need about 16 weeks
Answer:
1-72: Estimate- 15 weeks
Actual- $125/$7.75= 16.13 weeks.
1-73: 3 feet long=36 inch board
6 feet long=72 inch board
12 feet long = 144 inch board
1-74: a. 100, 50, 60, 40, 20, 0
b. 75, 60, 45, 30, 15, 0
c. 125, 100, 75, 50, 25, 0
d. 250, 200, 150, 100, 0