Answer:
x < -4
-4 > x
Step-by-step explanation:
⇒ The graph shows that the x-values has to be less than -4 (also not including -4 too)
-This can be written as x < -4
-It also can be written as -4 > x because -4 has to be greater than x (also not including -4 too)
Hope this helps again! :)
Solve for x.
2/x = 6/2
Answer:
X = 2/3
Hope this helps :D
What is 1 + 1??? PLS HELP ASAP
Answer:
The answer to 1 + 1 is 2.
what is 58388383-776463783
Answer:
Subtract 58388383 - 776463783
The following bond was quoted in The Wall Street Journal:
Bonds
NJ 4.125% 35
Current yield Volume
2.3%
5
Close
109.875%
Net change
+1.125%
Four bonds were purchased yesterday, and 4 bonds were purchased today. How much more did the 4 bonds cost today? (Do not
round intermediate calculations. Round your answer to the nearest cent.)
Increased cost
Answer:
$100 answers your question
Mia has 4 horses and 11 apples. She gives each horse the same number of
apples, and she uses as many apples as she can. How many apples does Mia
give each horse? How many apples are left?
» Complete the equation.
11 : 4 =
R
Answer:
she gives each 2, and has 3 left
Step-by-step explanation:
you can fit 2 fours into 11, and you have 8 left
Mary's total bill for a used car is $2,700.00. If she pays an equal amount each month for an entire year, how much will she have to pay each month?
Answer:
$225
Step-by-step explanation:
When Mary pays the cost in 12 equal payments, each is 1/12 of the total amount.
__
1/12 × $2700 = $225
Mary will have to pay $225 each month.
Just number two from the pic
Step-by-step explanation:
150 students overall.
an immediate assumption would be that these 150 students are the universal set of students taking these classes.
but we have to be careful and check. could it be that there are more than these 3 classes for the 150 students ? or that there is an option to be a student and not take any of the classes ?
the last question (c) suggests something like that.
so, these 150 students are the universal set for all these cases.
the sum of all students that took 2 classes contains also the ones that took all 3 classes. each of these students (that took all 3 classes) are then counted three times in these groups - one time for each pair of classes.
so, 26 + 28 + 32 - 22 - 22 = 42 is the number of students that took at least 2 classes (the subtraction of 2×22 eliminates two of the triple counting of the students that took all 3 classes).
since these 42 students contain also the ones with 3 courses, we need to subtract the 22 with 3 classes a third time again to get the number of students that had exactly 2 classes :
42 - 22 = 20.
so, we have 22 students attending all 3 class.
then 20 more attending exactly 2 classes.
in detail it means for these 20
26 - 22 = 4 had taken exactly math and physics.
28 - 22 = 6 had taken exactly math and chemistry.
32 - 22 = 10 had taken exactly chemistry and physics.
and that means for the individual classes
84 - 22 - 4 - 6 = 52 had taken math only.
64 - 22 - 6 - 10 = 26 had taken chemistry only.
48 - 22 - 4 - 10 = 12 had taken physics only.
in total
150 - 52 - 26 - 12 - 20 - 22 = 18
18 students of these 150 have not attended any of these 3 classes.
(a)
so,
52 + 26 + 12 = 90
90 students took one course only.
(b)
so, the number of students that had at most 2 classes is the number of students with exactly one class (90) and exactly 2 classes (20) AND the ones without any of these 3 classes : 90 + 20 + 18 = 128
128 students took at most 2 courses.
we could have gotten this also by saying all the students not taking all 3 classes : 150 - 22 = 128
(c)
the original assumption was that 150 students did at least one of the classes. but that was wrong.
we found that 18 students did not attend any of the classes.
that means that
150 - 18 = 132
132 students took at least one of the courses.
Graph the exponential function.
f(x)= -(5/2)^x
Answer:
see below
Step-by-step explanation:
Your spreadsheet or graphing calculator can do this for you.
__
If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.
Use the Distance Formula to find the distance between (5. – 4) and (0.8).
Answer:
0.8
Step-by-step explanation:
\(d = s \times t\)
Seven less than five times
a number is eleven.
Answer:
Yes yes very nice shut up
Step-by-step explanation:
Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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PLEASE HELPPP!!! THANK YOU SOO MUCH ILY!!!!!!!
Answer:
1) Variables = 11a , 4a
Constants = 0
Coefficients = 11 , 4
2) Variables = 3x , 7x
Constants = 6 , -4
Coefficients = 3 , 7 , 6 , -4
3) Variables = -12m , +4m
Constants = -3 , 16
Coefficients = -12 , 4 , -3 , 16
4) Variables = 6k , k
Constants = -4 , -2
Coefficients = 6 , 1 , -4 , -2
5) Variables = -5p , -2p
Constants = 3 , 13
Coefficients = -5 , -2 , 3 , 13
6) Variables = -10r , -r , -6r
Constants = 11
Coefficients = -10 , -1 , -6 , 11
7) Variables = -5n
Constants = 19 , -8 , 14
Coefficients = -5 , 19 , -8 , 14
8) Variables = 13y , -2y
Constants = 18 , -5
Coefficients = 13 , -2 , 18 , -5
9) Variables = 8a , 3a , -7b , -2b
Constants = 1
Coefficients = 8 , 3 , -7 , -2 , 1
10) Variables = 11x , 2x , -4y
Constants = 8
Coefficients = 11 , 2 , -4 , 8
Step-by-step explanation:
What best describes fraction
Answer:
a numerical quantity that is not a whole number
Step-by-step explanation:
The locus of points in a plane 1 unit from the point (0,0)
Answer:
x² + y² = 1
Step-by-step explanation:
A circle is the locus of a point such that its distance from a fixed point (known as the origin) is always constant. The general equation of a circle is given as:
\((x-h)^2+(y-k)^2=r^2\)
Where (h, k) is the center of the circle and r is the radius of the circle.
Given that the plane is 1 unit from the point (0,0). Therefore the radius of the circle is 1 unit and the center of the circle is (0, 0). Therefore the equation of the circle is:
\((x-0)^2+(y-0)^2=1^2\\\\x^2+y^2=1\)
If a-4b=18,what is 3a/81b
Answer:
You cannot solve this problem with only one given equation
Step-by-step explanation:
You need at least 2 equations to solve for two variables.
Please see attached picture.
Need help answering.
In the given graph, the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
To find the equation of the quadratic function, we start by using the vertex form:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex. Plugging in the given vertex (4,-2), we get:
\(y = a(x - 4)^2 - 2\)
Next, we use the other two points to find two additional equations:
\(6 = a(8 - 4)^2 - 2 (plugging in (8,6))\\0 = a(2 - 4)^2 - 2 (plugging in (2,0))\)
Simplifying these equations, we get:
\(6 = 16a - 2\\8a = 4 -- > a = 1/2 \\0 = 4a - 2 \\4a = 2 -- > a = 1/2 \\\)
So the equation of the quadratic function is:
\(y = (1/2)(x - 4)^2 - 2\)
Now, we can answer the questions:
The y-intercept is the point where the graph intersects the y-axis. To find it, we set x = 0 in the equation:
\(y = (1/2)(0 - 4)^2 - 2 = 6\)
So the y-intercept is (0,6).
To find the x-intercepts, we set y = 0 in the equation:
\(0 = (1/2)(x - 4)^2 - 2\)
Simplifying, we get:
\((x - 4)^2 = 4\\ - 4 = \pm 2 \\= 2, 6\)
So the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
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how long would it tak to go 75 miles if you can go 45 mph
Expand this equation
Answer:
Step-by-step explanation:
First multiply 9x3
=\(27xy^4x^3y\)
give the terms that dont have a exponent a 1
=\(27x^1y^4x^3y^1\)
Multiply terms with the same base
\(27x^{1+3} y^4x^3y^1\)
Multiply terms of same base
\(27x^{1+3}y^{4+1}\)
Just add all the exponents
\(27x^{4}y^{5}\)
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
-) Aspirin has a half-life of 6 hours in the blood stream. If a person takes 625mg, how long will it take for there to be 150mg left in the bloodstream?
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
We have,
To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.
The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.
Let's calculate the number of half-lives required to reach 150mg:
Initial amount of aspirin = 625mg
Final amount of aspirin = 150mg
625mg / 150mg = 4.17
This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.
Since each half-life is 6 hours, we can calculate the total time it will take:
Total time = Number of half-lives * Half-life duration
Total time = 4.17 x 6 hours
Total time ≈ 25 hours and 1 minute
Therefore,
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
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Please help ASAP
See Attached!!
When you add polynomials of different degrees, it is not adding up the degrees, in special cases this may end up with smaller degree polynomials.
When you multiply polynomials of different degrees, it adds up the degrees, and the final polynomial is off the higher degree.
The answers:
a) False, degrees not added,b) False, degrees added but not multiplied.The image below has the following translation: (x, y) → (x +4, y - 1)
Determine the ordered pair for F' after the translation.
a. F' (-1, 3)
b. F' (-9, 5)
c. F' (8, -6)
d. F' (4, -1)
find the common ratio of the geometric sequence 4,3,9/4
Answer:
3/4
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
3/4
Check with the third and second terms
9/4 ÷3
9/4 *1/3= 3/4
The common ratio is 3/4
Martin wants to buy a new bedroom set that cost $1590 including tax. Unfortunately he doesn’t have $1590 so he secures a 2 year loan from the furniture store at 9% interest to be repaid in 254 equal monthly installments. Find the monthly payment
The monthly Payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.
The monthly payment of a 2-year loan of $1590 with 9% interest which needs to be repaid in 254 equal monthly installments, we need to use the loan repayment formula. The formula is given as:
Monthly Payment = (Loan Amount x Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Here,
Loan Amount = $1590
Interest Rate = 9% per annum
Time = 2 years = 24 months
number of Months = 254 (as there are 254 monthly installments)
First, we need to calculate the Monthly Interest Rate using the following formula:
Monthly Interest Rate = Annual Interest Rate / 12
The Annual Interest Rate is 9%,
so the Monthly Interest Rate is: Monthly Interest Rate = 9 / 12 = 0.75%Putting the given values into the loan repayment formula,
we get: Monthly Payment = (1590 x 0.0075) / (1 - (1 + 0.0075)^(-254))= 11.92 (approx)
Therefore, the monthly payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.
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It takes Cindy about 30 minutes to paint a picture.
About how long would it take Cindy to paint 2 pictures?
Answer:
60 mins
Step-by-step explanation:
1 picture = 30 mins
times both sides by 2 to get 2 pictures
2 pictures = 60 mins
Answer:
what are coprime number
What number is best to use to simplify a fraction Least common multiple be least common denominator see greatest common factor de greatest
The greatest common factor and least common multiple are the best used to simplify a fraction.
Suppose we wanted to add the fractions:
10/12 and 20/15.
Now, consider the fraction:
10/12
We can eliminate that component from both the numerator and the denominator and simplify the fraction if we can identify the greatest common factor between 10 and 12.
So,
The factors of 10 are 1, 2, 5, 10.
The factors of 12 are 1, 2, 3, 4, 6, 12.
Therefore, GCF of 10 and 12 is 2.
Hence,
10/12 = ( 10 ÷ 2 ) / ( 12 ÷ 2 ) = 5/6
Similarly,
For 20/15,
The factors of 20 are 1, 2, 4, 5, 10, 20.
The factors of 15 are 1, 3, 5, 15.
The greatest common factor is 5.
So,
20/15 = ( 20 ÷ 5 ) / ( 15 ÷ 5 ) = 4/3
Now, when we add the fractions:
10/12 + 20/15 = 5/6 + 4/3
Now, as the fractions are already simplified.
By using the least common multiple.
10/12 + 20/15 = 5/6 + ( 4/3 ) × ( 2/2 )
10/12 + 20/15 = 5/6 + 8/6
10/12 + 20/15 = 13/6
Hence, using the greatest common factor we can simplify the fractions, and the least common multiple we can perform operations on the fractions.
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Which point represents
−
(
−
4
)
−(−4)minus, left parenthesis, minus, 4, right parenthesis on the number
Answer:
C
Step-by-step explanation:
-(-4)
so -×- becomes +
so -(-4)= 4
Answer:
No the answer is D
Step-by-step explanation:
-2
y=4x
y=-6x-30
solve the system by substitution
The solution to the given simultaneous equations are:
x = -3 and y = -12
How to solve Simultaneous Equations?The three primary methods for solving simultaneous equations are:
1) Substitution
2) Elimination
3) Graphical
We are given the simultaneous Equation:
y = 4x ------(1)
y = -6x - 30 ------(2)
Substitute eq 1 into eq 2 to get:
4x = -6x - 30
Add 6x to both sides to get:
10x = -30
Divide both sides by 10 to get:
x = -3
Put -3 for x in eq 1 to get:
y = 4(-3)
y = -12
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Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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A pitcher could hold 5/12 of a gallon of water.If Dan filled up 9 pitchers, how much would he have?