The number line model that represents the expression -2/5 + 4/5 is: Option B
How to solve Inequality on number line?
To plot an inequality, such as x > 2, on a number line, first draw a circle over the number (e.g., 2). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in.
Now, in this case, the operation to solve is:
-2/5 + 4/5
Solving this gives 2/5
Now, since the operation shows a negative and positive fraction with the solution being positive, then we can easily say that Option B is the correct answer to the problem
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Cameron has a credit limit on his gasoline company credit card of $500. He has no initial balance, but has charged gasoline purchases of $25,25 and $32,33. What is Cameron’s remaining available credit?
Answer:
$442.42
Step-by-step explanation:
You want the remaining available credit on a credit line of $500 when charges of $25.25 and $32.33 have been made.
Remaining creditThe remaining credit is the original credit amount less the amount of credit used:
$500 -25.25 -32.33 = $442.42
Cameron has credit of $442.42 available.
if Jill's age is 84 and johns age is 21 how many years ago was Jill 10 times older than john
Mr.McNeil bought two magazines for 7.45 and one book for 14.95. If the sales tax is 6% , what is the total cost of Mr.McNeil’s purchase?
Answer:
total cost = $22.4 + $1.12 = $23.52
Step-by-step explanation:
Mr McNeil bought 2 magazines for $7.45 and 1 book for $14.95 . The sales tax is 6% . The total cost of Mr McNeil can be calculated as follows.
He bought 2 magazines for $7.45 .This means the sum of the prize of the 2 magazine he bought is $7.45 and the prize for the single book he bought is $14.95. The total cost of the items he bought excluding the sales tax is the sum of the whole items he bought.
total cost excluding sales tax = $7.45 + 14.95 = $22.4
The sales tax is 5% which can be calculated as follows
5/100 × 22.4 = 112/100 = $1.12
The total cost of Mr McNeil purchase including his sales tax is
total cost = $22.4 + $1.12 = $23.52
The Shortening of a muscle is called ______________.
a
Extension
b
Contraction
c
Tendon
d
Ligament
Answer:
Contraction
Step-by-step explanation:
I am smart
Answer:
B. Contraction
Step-by-step explanation:
During a concentric contraction, a muscle is stimulated to contract according to the sliding filament theory. This occurs throughout the length of the muscle, generating a force at the origin and insertion, causing the muscle to shorten and changing the angle of the joint.
n is an odd number.
Which statements are true?
You must get them all correct to get any marks.
A: n²-1 is odd
E: n(n-2) is odd F: (n-2)² is odd
B: n(n-1) is odd C: (n-1)² is odd
D: n² + 2 is odci
Answer:
True:
D.
E.
F
Step-by-step explanation:
First, you should know that the square of any odd number is also odd.
The easiest way to go about this is to plug in an odd number for n. Lets use 3:
Plug 3 into A:
\(3^{2} -1=9-1=8\)
Plug 3 into B:
\(3(3-1)=9-3 = 6\)
Plug 3 into C:
\((3-2)^{2} = 2^{2} = 4\)
Plug 3 into D:
\(3^{2} +2 = 9+2=11\)
Plug 3 into E:
\(3(3-2) = 9-6 = 3\)
Plug 3 into F:
\((3-2)^{2}=1^{2} =1\)
mong moi nguoi giup do
please help. thank you
Answer: what do need help on
Step-by-step explanation:
what are exchange rates?
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.
(a) What is the standard error of X¯¯¯
, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.)
The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.
A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:
Standard Error (SE) = σ / sqrt(n),
where σ is the standard deviation and n is the sample size.
In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.
Plugging in these values into the formula, we have:
SE = 3.25 / sqrt(25).
Calculating the square root of 25, we get:
SE = 3.25 / 5.
Performing the division, we find:
SE ≈ 0.65.
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how do you add 9 in 1 6 + 2 1/12
Step-by-step explanation:
9 + 1/6 + 2 1/12
9 + 2.25
11.25
Help help math math math
Answer:
A.3
Step-by-step explanation:
We use the formula "y = mx + b"
As you see "y= 3x-8" is already is the form.
M represents slope and the 3 is currently in the m spot.
The answer is A. Hope this helps :)
Simplify Like terms
5x−3y−7x+9y
Answer:
-2x + 6y
Step-by-step explanation:
Rewrite equation
5x - 3y - 7x + 9y
Combine like terms
-2x + 6y
Hope this helps :)
Solve the inequality4x + 13 ≥ 27
Work Shown:
4x + 13 ≥ 27
4x + 13-13 ≥ 27-13
4x ≥ 14
4x/4 ≥ 14/4
x ≥ 7/2
The inequality sign stays the same for each step. The inequality sign only flips if we were to multiply both sides by a negative number (or divide both sides by a negative number).
Note: 7/2 = 3.5
can someone please explain to me this image?
Answer:
Complementary
Step-by-step explanation:
The data in this table represents a linear function.
What is the slope of this line?
A. -3/2
B. -2/3
C. 2/3
D. 3/2
x y
6 -5
9 -7
15 -11
21 -15
Answer:
the answer is -2
Step-by-step explanation:
I took the test
Prove that the set of functions from N to N is uncountable, by using a diagonalization argument. N is the set of natural numbers.
Hence Proved N to N is uncountable set by using a diagonalization argument
What is Diagonalization Argument?
Georg Cantor published the Cantor's diagonal argument in 1891 as a mathematical demonstration that there are infinite sets that cannot be put into one-to-one correspondence with the infinite set of natural numbers. It is also known as the diagonalization argument, the diagonal slash argument, the anti-diagonal argument, the diagonal method, and Cantor's diagonalization proof.
Proof:
We write f as the sequence of value it generates
that is, say f:N-N is defined as f(x) =x then
we write f as : 1,2,3,4........
similarly if f:N-N were f(x) = 2x then we write it as :2,4,6,8.......
now assume on the contrary that the set of functions from N to N is countable
then,
\(f_{1}\) : \(f_{11}\) \(f_{12}\) \(f_{13}\) , ...........
\(f_{2}\) : \(f_{21}\) \(f_{22}\) \(f_{23}\) , ...........
\(f_{3}\) : \(f_{31}\) \(f_{32}\) \(f_{33}\) , ........... and so on
Here \(f_{ij}\) =\(f_{i}(j)\)
consider the function f as :
f : (\({f11}\) +1 ) , (\({f22}\) +1) , (\({f33}\) +1),.........
Then f wouldn't appear in the list of the function we had above since any \(f_{i}\) would disagree with f at the i th place
Therefore the set of the function from N to N is an uncountable set
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The value of a precious gold coin is increasing at a rate of 5% per year if the coin is worth 105 today what will it be worth in 11 years
Answer:
i dont know if im right but i think thats 121
Step-by-step explanation:
Can anyone help me on this
Move each shape to the best catergory of the diagram.
Answer:
from left to right, including the triangle placed in the rectangle section already; quadrilateral, polygon, quadrilateral, polygon, quadrilateral, rectangle
Which correctly shows the substitution step for the system?
y = x - 4
-4x - 6y = -16
O x-4 = -4x-6y
-4(x-4) - 6y = -16
O-4x-6(x-4) = -16
6y = x - 4
The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct
To solve the given system of equations:
1) y = x - 4
2) -4x - 6y = -16
We can use the substitution method to eliminate one variable and solve for the other.
Step 1: Solve the first equation (1) for y in terms of x.
y = x - 4
Step 2: Substitute the expression for y from equation (1) into equation (2).
-4x - 6(x - 4) = -16
Step 3: Simplify and solve for x.
-4x - 6x + 24 = -16
-10x + 24 = -16
-10x = -16 - 24
-10x = -40
x = -40 / -10
x = 4
Step 4: Substitute the value of x back into equation (1) to solve for y.
y = 4 - 4
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
In summary, the correct substitution step for the system is:
-4x - 6(x - 4) = -16
By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct
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f(x)= a(x+p)² +q and g(x)= 0 3 3.1 x + p 1. The turning point of f is (1;4) and the asymptotes of g intersect at the turning point of f. Both graphs cut the y-axic at 3. 3.2 3.3 3.4 a 10 g +94 (1:4) Determine the equation of f Determine the equation of g Determine the coordinates of the x-intercept of g For which values of x will f(x) ≥ g(x)? [9]
Step-by-step explanation:
Let's solve the given questions step by step:
1. Determine the equation of f:
From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:
f(x) = a(x + p)^2 + q
Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:
4 = a(1 + p)^2 + q
This gives us one equation involving a, p, and q.
2. Determine the equation of g:
The equation of g is given as g(x) = 0.3x + p1.
3. Determine the coordinates of the x-intercept of g:
The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.
Setting g(x) = 0, we can solve for x:
0 = 0.3x + p1
-0.3x = p1
x = -p1/0.3
Therefore, the x-intercept of g is (-p1/0.3, 0).
4. For which values of x will f(x) ≥ g(x)?
To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.
f(x) = a(x + p)^2 + q
g(x) = 0.3x + p1
We need to find the values of x for which f(x) ≥ g(x):
a(x + p)^2 + q ≥ 0.3x + p1
Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.
To summarize:
We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).
Can you show me how you can get this answer step by step
Answer:
Plug in the values for x
Step-by-step explanation:
plug in x values into the equation
for example, plug -2 into the equation. y= -2(-2). y=4
So on and so forth
Find the equation of the parabola in vertex form that has a vertex of (4,-2) and a y intercept of (0,-66)
The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
The vertex form of a parabola is given by:y = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2
Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2
Simplifying this, we get:-66 = 16a - 2
Adding 2 to both sides, we get:-64 = 16a
Dividing both sides by 16, we get:a = -4
Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2
Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
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Which of the following strategies will help you gain instructional control? Behavior tech
Gaining instructional control is an important aspect of teaching and behavior management.
What is instructional control?Instructional control is a term used in behavior analysis to describe a situation in which a teacher or other instructional agent has established the conditions necessary for effective teaching to occur.
Here are some strategies that can help you gain instructional control:
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What is the answer plz?
Answer:
A
Step-by-step explanation:
Answer:
Easy B
Step-by-step explanation: srry If It's Wrong
answer the number 2 only
The missing variables on item 2 are given as follows:
\(o = 12\sqrt{3}\)i = 24.What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.For the angle of 60º, we have that:
o is the opposite side.12 is the adjacent side.Hence the length o is given as follows:
tan(60º) = o/12.
\(\sqrt{3} = \frac{o}{12}\)
\(o = 12\sqrt{3}\)
Applying the Pythagorean Theorem, the length i is given as follows:
i² = 12² + \((12\sqrt{3})^2\)
i² = 576
i² = 24²
i = 24.
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Answer:
o = 12√3
i = 24
Step-by-step explanation:
From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.
The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.
Side a is opposite the 30° angle (shortest leg).Side a√3 is opposite the 60° angle (longest leg).Side 2a is the hypotenuse (longest side).In triangle #2, the shortest leg is 12 units.
As "a" is the shortest leg, the scale factor "a" is 12.
The side labelled "o" is the longest leg opposite the 60° angle. Therefore:
\(o = a\sqrt{3}=12\sqrt{3}\)
The side labelled "i" is the hypotenuse of the triangle. Therefore:
\(i= 2a = 2 \cdot 12=24\)
Therefore:
o = 12√3i = 24
Find the ratio of y to x for Table 1 and Table 2, simplify the fraction to simplest form, and answer the
questions that follow.
Answer:
Divide the dollars by hours.
Step-by-step explanation:
Since you are doing dollars and hours you would have dollars per hour. Make all the dollar amounts y and all the hour amounts x.
To be proportional the table needs to have a constant.
The first table all answers need to be 75 to be proportional. 75/1 = 75.
The second table all answers need to be 45 to be proportional. 45/1 = 45.
Use the ten frame to make a
ten to help you subtract. Ray has 14 pens. 8 are black. The rest are blue. How many pens are blue?
Answer:6 pens are blue
Step-by-step explanation:because 14-8=6 pens would be left and would be blue
A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3. Find the perimeter and area of the dilated figure.
A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3.The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).
Let's begin by finding the side length of the original square. Since the perimeter of the square is given as 24 m, we can divide it by 4 (as a square has four equal sides) to find the length of each side. Therefore, the original square has a side length of 6 m.
To find the perimeter of the dilated figure, we need to multiply the side length of the original square by the scale factor of 3. So, the new side length of the dilated figure is 6 m * 3 = 18 m. Since the dilated figure is also a square, all its sides are equal. Therefore, the perimeter of the dilated figure is 18 m + 18 m + 18 m + 18 m = 72 m.
To find the area of the dilated figure, we need to square the new side length of 18 m: \(18 m * 18 m = 324 m^2\). Hence, the area of the dilated figure is \(324 m^2.\)
The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).
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Can someone help me
Answer:
y= -2/5x + 5
Step-by-step explanation:
Answer:
y=-2/5x+5
is the answer
HOPE IT HELPED