Answer:
I don't know about that and I don't understand
6x-4≤-28
Is this value part x=-10;
One of the solutions to the following linear inequality is the value x=-10.
What are linear inequalities?
Expressions that compare two linear expressions using inequality symbols are referred to as linear inequalities. It's important to remember that if p < q, then p must be a number that is strictly less than q. If p ≤ q, then p is a number that is strictly smaller than q or exactly equal to q. The same is true for the other two inequality signs > (greater than) and ≥ (greater than or equal to).
What guidelines apply for resolving linear inequalities?
Addition Rule of Linear Inequalities:Given equation: 6x-4≤-28
Add 4 to both sides according to the addition rule:
(6x+4)+4 ≤ (−28)+4
6x-4+4≤ -24
6x≤-24
Now, divide both sides by 6 according to the division rule:
6x/6 ≤−24/6
x ≤ -4
Therefore, x ≤ -4 is the solution for the given linear inequality where, x ∈ (-∞,-4)
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[tex]\frac{3}{7}x - \frac{4}{7} = -\frac{1}{7} \\[/tex]
Solve for x
Answer:
x = 1===================
Given equation:
[tex]\cfrac{3}{7}x- \cfrac{4}{7}=-\cfrac{1}{7}[/tex]Multiply all terms by 7 to get rid of fraction:
3x - 4 = - 13x = 4 - 13x = 3x = 1Solving for the value of x,
→ (3/7)x - (4/7) = -1/7
→ (3x - 4)/7 = -1/7
→ 3x - 4 = (-1/7) × 7
→ 3x - 4 = -1
→ 3x = -1 + 4
→ x = 3/3 = 1
Hence, the value of x is 1.
Solve the following inequality. -2x < 10
Step-by-step explanation:
-2x<10
decide both side by -2
when ever we divide by negative number the sign will change. so this < sign will change to >
x>-5
Hey there!
-2x < 10
DIVIDE -2 to BOTH SIDES
-2x/-2 < 10/-2
SIMPLIFY IT!
x < 10/-2
x > 10/-2
x > -5
Therefore, your answer should be:
x > -5
Good luck on your assignment & enjoy your day’
~Amphitrite1040:)
Which+statement+is+true+regarding+a+95%+confidence+interval?+there+is+a+2.5%+chance+that+the+alternate+hypothesis+will+not+be+rejected.+there+is+a+95%
The statement "d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values" is correct.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for a known standard deviation.
The question is incomplete.
The complete question is:
Which statement is true regarding a 95% confidence interval?
a) A 95% confidence interval indicates that 95% of the data will not be related to the population mean.
b) A 95% confidence interval indicates that the null hypothesis will not be rejected 5% of the time.
c) A 95% confidence interval indicates that 5% of the data will always be rejected.
d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values.
If a population means is within a certain range of values, it is 95% certain that it is within that range, according to a 95% confidence interval.
Thus, the statement "d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values" is correct.
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Evaluate the expression 30-14divided by 2
Answer:
23
Step-by-step explanation:
You have to do the division first unless it is a fraction.
14/2 = 7
30 - 7 = 23
If it was a fraction (with 30 - 14 on top and 2 on the bottom) Then the answer would be 8 > 30 - 14 = 16/2 = 8
Hope this helps.
Which expression is equivalent to (2^-1)^3
The solution is [tex]\frac{1}{8}[/tex] .
To understand this problem we need to know the concept of surds and indices, powers and exponents.
If we write [tex]x^{2}[/tex] it means that x must be multiplied by itself two times.
But if we write [tex]x^{-2}[/tex] it means [tex]\frac{1}{x^{2} }[/tex].
Which means if an number has negative power then it must be written in the inverse format to make it positive.
Given here is [tex](2^{-1})^{3}[/tex]
⇒[tex](\frac{1}{2}) ^{3}[/tex]
⇒[tex]\frac{1}{8}[/tex] is the required solution of the problem.
This can also be solved in other ways by multiplying the powers and then inverting the fraction to make it positive.
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Which decimals are equivalent to 5x10 + 2x1/100
Answer:
50.2
Step-by-step explanation:
10. How many times smaller
is 0.98 than 9.8?
what is the median of 5,5,5,2,6,1,15,2,3,1
Answer:
The median is: 4
Hope this helps! <3
Darren is purchasing a car that costs $10,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 6 years, how much is his monthly payment?
$138.89
$163.89
$168.92
$180.12
well, let's take a peek, hmmm 10000 bucks at 3% over 6 years hmmm
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=10000[1+(0.03)(6)] \implies \boxed{A = 11800}~\hfill \cfrac{\stackrel{total}{11800}}{\underset{months}{72}}\approx \underset{per~month}{163.89}[/tex]
Answer:
B
Step-by-step explanation:
i'm pretty sure it's right but could be wrong
Answer and how to solve this
Translate the phrase into an algebraic equation:
m+6
Solve:
39
Step-By-Step:
If m = 33, then the equation would just be 33 + 6, which equals 39
how many solutions are there to the equation below? 5x+48+7x=12(x+4) A) 1 B) infinitely many C) 0
Answer: Thus answer is "B"
Step-by-step explanation: Because you can move around and combine different numbers to get a different answer.
637,982 + 2,819 i need it
Answer: 640801
Step-by-step explanation: Simply add both together, 637,982 plus 2819.
Answer:
637, 982 + 2,819 = 640,801
The following table shows the relationship between the cost of tickets to an amusement park and the number of people going to the park. Which graph best models the relationship in the table?
The first graph that we have in this question is the graph that can be used to model the relationship that we have in this table.
How to model the graph in the tableIn this table we can see that what we are having is a linear equation. First we have to check the slope that lies in any two of the points
This would be;
( 112.5- 75) / ( 3- 2) = 37.5 and
( 150 -112.50) / ( 4-3) = 37.50
We can have the equation of a straight line as: y = mx + c
y = 37.50x + c, x = 2
then c = 75 - 75 =0
When plotted on the graph we would have the first graph as the best solution. Hence option 1 is right
Option 1 best fits the graph
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606060+28282 pls help
Answer:
634342
FACTOR:
2 x 317171
0.(3)= answer please
After multiplying 0, 3 times and following the laws of exponents, the value yielded is 0.
What is the law of exponents?
There are varied exponent laws in mathematics. Numerous fine problems that involve repeated addition operations can be answered using all of the exponentiation principles. The principles of exponents make addition and division processes simpler and make it easier to answer issues. The six significant rules of exponents will be covered in this composition along with multitudinous worked-out exemplifications.When multiplying a number by itself constantly, exponents are employed to illustrate this. For the case, 73 can be used to represent 7 x 7 x 7. The exponent, in this case, is" 3," denoting how numerous times the number 7 has been multiplied. Then, the number that's actually being multiplied is 7, which serves as the base.
Given that,
[tex]0^3[/tex] , Expanding it following laws of exponents,
We get,
0*0*0=3
Therefore, [tex]0^3=0[/tex].
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If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, what is the new standard time for the navigator iii?.
9 minutes is the new standard time for the navigator iii.
What is statistics and example?
Statistics is the branch of mathematics that deals with the gathering, tabulating, and analysis of numerical data. Statistics is defined as numerical data. A report of data indicating the number of adherents of each religion in a specific nation is an example of statistics.If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then
Element 1 2 3 4 5 6
Mean obs. Time(t) 1.11 3.1 0.895 1.283333 1.565 1.5
Normal time 1.0545 1.395 0.93975 1.283333 1.33025 1.65 Sum
Standard time 1.240588 1.641176 1.105588 1.509804 1.565 1.941176
Sum 9.003333
New standard time = 9 minutes
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Which table represents an exponential function?
Answer: Where are the tables?
what's the most specific subset of real numbers that the following number belongs in? 8.34
1. rational
2. integer
3. whole
4. irrational
Answer:
1. rational
Step-by-step explanation:
8.34 ==> rational since it had a finite number of digits.
8.34 ==> not an integer since it has a decimal point.
8.34 ==> not a whole number since it has a decimal point.
8.34 ==> not irrational since it had a finite number of digits.
Hence, 8.34 is rational.
Use the two examples that you provided in question 5 to describe how those trace elements have been introduced into our diets and/or personal hygiene habits.
Peaches, beans, spinach, and pistachios are dietary sources of iron. We get iodine via seaweed, shrimp, eggs, salt, and dairy products in our diet.
What do dietary trace elements do?
Minerals known as trace elements or trace metals are minor levels of which are found in living tissues. Some of them are known to be nutritionally necessary, some might be (but the evidence is merely speculative or sparse), and the rest are regarded as nonessential.What are trace elements give two examples?
Essential trace elements of the human body include zinc (Zn), copper (Cu), selenium (Se), chromium (Cr), cobalt (Co), iodine (I), manga- nese (Mn), and molybdenum (Mo).
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Find an equation in cylindrical coordinates for the equation given in rectangular coordinates. 25x2=25y2=6x
25r(cos^2Ф-sin^2Ф)-6cosФ=0
The equation in rectangular coordinates is 25x2=25y2=6x, we need to write in cylindrical coordinates
What is rectangular coordinate system?The rectangular coordinate system consists of two real number lines that intersect at a right angle
In cylindrical coordinate, x=rcosФ
y=rsinФ
z=z
25(rcosФ)^2=25(rsinФ)^2=6rcosФ
25r^2cos^2Ф-25r^2sin^2Ф=6rcosФ
25r^2(cos^2Ф-sin^2Ф)=6rcosФ
25r(cos^2Ф-sin^2Ф)-6cosФ=0
25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required equation in cylindrical coordinates.
Therefore 25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required cylindrical equation
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Sometimes we ask you to enter an equation and not just an expression. find an equation of a line that has slope 8 and passes through the point (3, 11).
The equation of the straight line is 8x - y = 85.
It is given that the slope of the line is 8 and passes through the point (3,11).
We have to find the equation of the line.
We know that,
Equation of a line is :-
[tex]y -y_1 = m (x - x_1)[/tex]
Where,
x and y are variables
m is the slope of the line
[tex](x_1,y_1)[/tex] are the coordinates of the point that passes through the line.
Here,
[tex](x_1,y_1)[/tex] = (3,11)
m = 8
Hence,
Equation of the line = y - 3 = 8(x - 11)
y - 3 = 8x - 88
8x - y = -3 + 88
8x - y = 85
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answer plsss rn !!!
an equation will not pass through the origin if:
Answer:An equation will not pass through the origin if the points are 0,0.
Triangle ABC was transformed to be triangle DEF using
one transformation.
What transformation was performed?
translation
rotation
dilation
reflection
Answer:
reflection
Step-by-step explanation:
triangle ABC reflected to become triangle DEF
. Model Real Life A veterinarian walks about
10,000 steps each weekday. She walks about
8,000 steps each day of the weekend. About how
many steps does she walk in one week?
No. of steps in one week = 66000
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
In weekday = 10000
In weekend = 8000
There are 5 weekdays and 2 days in weekend
SO, 5 x 10000 + 2 x 8000
= 50000 + 16000
= 66000 steps.
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There is a safety fence around a circular pool with a gate. The gate is 150 cm wide.
20 m
gate
150 cm
What is the length of the fence not including the gate?
m
A school has 360 students, 4/9 of whom are boys. How many of the students are boys? How many are girls?
Answer:
There are 160 boys and 200 girls
Step-by-step explanation:
its a proportion
Need help ASAP
logx = 7
logy = 2
logz = 5
Find log[tex]\frac{x^2\sqrt{z} }{y^3}[/tex]
Using some logarithmic properties, we will see that the solution of the logarithmic equation is 10.5
How to find the value of the logarithm?
Here we have some properties that you need to remember.
log(A*B) = log(A) + log(B)
log(A/B) = log(A) - log(B)
log(Aⁿ) = n*log(A)
Then we can rewrite our equation as:
[log(x²) + log(√z)] - log(y³)
Now, remember that a square root is equal to an exponent of 0.5, then:
[log(x²) + log(√z)] - log(y³) = 2*log(x) + 0.5*log(z) - 3*log(y)
Now we can replace the logarithms by the given values:
2*log(x) + 0.5*log(z) - 3*log(y)
2*7 + 0.5*5 - 3*2 = 10.5
The solution of the logarithmic equation is 10.5
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2 1 Find the equation of the line that passes through the point (-4,16) and is perpendicular to the line y =
[tex] \frac{2}{5}x - \frac{1}{5} [/tex]
the equation using the slope-intercept form. Write the equation using slope intercept form
Answer: Equation using slope intercept from y= -(5/2)x +26
Step-by-step explanation:
Write an equation of the line (in slope-intercept form) that is perpendicular to the line y=(2/5)x-(1/5) and contains the point (-4,16).
The line given is y=(2/5)x-(1/5)
Which we can rewrite in y= mx+b form as
y=(2/5)x-(1/5)
So slope of this line is (2/5)
A line perpendicular will have slope = -(5/2) , Which is (1/m)
Equation of new line will be
y = -(5/2)x +b
Now we need to find b
Plug in Point (-4,16)
Replace with the (-4,16) values
16 = (5/2) (-4) +b
solve it, 16=(-10)+b
16+10=b
b=26
Equation using slope intercept from y= -(5/2)x +26
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w is proportional to square root of y. y is inversely proportional to x. When x = 4, y = 16 and w = 8.
Find w in terms of x
The value of w in terms of x is w = 16/√x
VariationFrom the question, we are to find w in terms of x
From the given information,
w is proportional to square root of y
That is,
w ∝ √y
∴ w = k√y
Where k is the proportionality constant
and
y is inversely proportional to x
That is,
y ∝ 1/x
y = c/x
Where c is the constant of proportionality
From the information, we have that
When x = 4, y = 16 and w = 8
From w = k√y
8 = k√16
8 = k×4
k = 8/4
k = 2
Also,
y = c/x
16 = c/4
c = 16 × 4
c = 64
Now, we are to write w in terms of x
w = k√y and y = c/x
∴ w = k√(c/x)
w = 2√(64/x)
w = 2 × √64 / √x
w = 2 × 8/√x
w = 16/√x
Hence, the value of w in terms of x is w = 16/√x
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