represent each of the fractions below both with a diagram and with words. A.2/3. B.1 1/8. C.6/9.
Answers
2/3 in words is 'two third'
11/8 in words is 'eleven-eighth'
6/9 in words is 'six-ninth'
Related Questions
Line p contains points A(–7, –9) and B(4, 0). Line q is parallel to line p. Line r is perpendicular to line q. What is the
slope of line r? Explain.
Answers
slope = (0 - (-9) / (4 - (-7) = 9/11...line P slope
line q is parallel....parallel lines have the same slope, so line q has a slope of 9/11.
line r is perpendicular to line q....that means line r will have a slope of -11/9. The reason is because perpendicular lines will have negative reciprocal slopes. To find the negative reciprocal of a number, just flip the number and change the sign. So, 9/11, when flipped and the sign changed is -11/9. <==
Use the discriminant of x^2+4x-32=0 to describe the roots
Answers
The formula for discriminant is:
discriminant = sqrt (b^2 – 4 a c)
Where,
a = 1
b = 4
c = -32
Therefore:
discriminant = sqrt (4^2 – 4 (1) (-32))
discriminant = sqrt 144
discriminant = 12
Since the discriminant is a positive real integer, then there are 2 unequal roots or 2 distinct real roots.
In the diagram, what is the length of arc AB?
A. 4.2 cm
B. 12.4 cm
C. 13.9 cm
D. 11.8 cm
Answers
Answer:
Step-by-step explanation:
One fish is 4 feet below sea level. Another fish is 3 feet below sea level. write each position as an integer. Which integer is greater?
Answers
Hope this helps!
Help me with these please!!
Answers
Aaron is constructing a circle circumscribed about a triangle. He has partially completed the construction, as shown below. What should be his next step in the construction? (5 points) Triangle DEF is shown with two sets of intersecting arc markings on either side of side EF. A line segment is drawn through eac Connect the arc markings to angle E to find another bisector Use the compass to find the perpendicular bisector for side DF Connect three arc markings to the vertices form the triangle Use the intersection of the arcs to determine the center of the circle
Answers
hope this helps:)
The next step is to use the compass to find the perpendicular bisector for side DF. Option B
Steps in constructing a circle in a triangle
The steps include;
First, construct the angle bisectors of each angle of the triangle.Then, construct the perpendicular bisectors of each side.Place the compass on a vertex and use the bisectors to draw the circle inside the trianglePlace the compass on the intersection of the bisectors and draw the circle.Thus, the next step is to use the compass to find the perpendicular bisector for side DF. Option B
Learn more about construction of a circle here:
https://brainly.com/question/14762960
#SPJ5
A cube is packed with decorative pebbles. If the cube has a side length of 2 inches, and each pebble weighs on average 0.5 lb per cubic inch, what is the total weight of the pebbles in the cube?
Answers
We can solve this problem by first solving for the total volume of the cube. The formula for volume of cube is given as:
V cube = s^3
Where s is the length of one side which is equivalent to 2 inches. Therefore:
V cube = (2 inches)^3
V cube = 8 cubic inch
Assuming that all the pebble fills the cube without any spaces, then the total weight of the pebbles in the cube would simply be:
Total weight = 0.5 lb per cubic inch * 8 cubic inch
Total weight = 4 lb
Therefore, the total weight of the pebbles in the cube is 4 lbs.
Simplify the product using the distributive property. (-4h +2)(3h +7)
A.
-12h 2 - 22h + 14
B.
-12h 2 - 34h - 14
C.
-12h 2 + 34h - 14
D.
-12h 2 + 22h + 14
please help
Answers
Answer:
A. -12h² - 22h + 14
Step-by-step explanation:
(-4h +2)(3h +7) = -4h(3h +7) +2(3h +7) . . . . . . . (a +b)c = ac +bc
= (-4h)(3h) + (-4h)(7) + (2)(3h) + (2)(7) . . . . . . . a(b +c) = ab +ac . . . (twice)
= -12h² -28h +6h +14
= -12h² -22h +14 . . . . . . . . collect terms
Which of these is NOT a part of formal proof? A.Reasons
b.statements
c. given
d. diagram
e.none of the above
Answers
Triangle ABC is similar to triangle XYZ. Which of the following proportions is correct?
1) AB/XY = AC/YZ
2) AC/XY=BC/XZ
3) AB/XY=AC/XZ
4) BC/XY=AB/YX
Answers
Answer:
The correct option is 3.
Step-by-step explanation:
It is given that triangle ABC is similar to triangle XYZ.
The corresponding sides of similar triangles are proportional.
Since it is given that the triangle ABC is similar to triangle XYZ, so by using the definition of similarity triangles
[tex]\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}[/tex]
From first and third term, we get
[tex]\frac{AB}{XY}=\frac{AC}{XZ}[/tex]
Therefore the correct option is 3.
What is the negative square root of 361?
Answers
the square root of 361 = 19
so the negative square root would be -19
The negative square root of 361 is -19.
The negative square root of 361 is -19. This is because the square root of a number gives both a positive and negative result. In this case, the square root of 361 is 19, so the negative square root is -19.
What comes first addition or multiplication?
Answers
Final answer:
In mathematics, the order of operations dictates that multiplication should be performed before addition. This is a fundamental principle to follow when dealing with expressions involving both addition and multiplication. The commutative property of addition means that the order of adding whole numbers does not affect the result.
Explanation:
In the subject of mathematics, when solving operations that involve both addition and multiplication, the principle to follow is the order of operations, commonly known as BIDMAS or PEMDAS. This stands for Brackets, Indices (or Powers), Division and Multiplication (left-to-right), and Addition and Subtraction (left-to-right). According to this rule, multiplication comes before addition. Therefore, when you see a mathematical expression that includes both addition and multiplication, you should perform the multiplication first.
When working with whole numbers in addition, you should pay attention to the commutative property which states that numbers can be added in any order and the result will be the same. For example, 2 + 3 is the same as 3 + 2. In multiplication, when we work with exponents, the rule is to multiply the digit terms normally and add the exponents for exponential terms. When multiplying fractions, the general rule is to multiply the numerators together and the denominators together.
Is the probability of (AnB) the same as P(A) x P(B)? If not, how can P(AnB) be calculated?
Answers
P(AnB) the same as P(A) x P(B)
When A and B are independent events
Forming a Perfect Square Trinomial Form the perfect square trinomial in the process of completing the square. What is the value of c? x2 + 3x + c = + c
Answers
Answer:
9/4 on edg
Step-by-step explanation:
Final answer:
To form a perfect square trinomial from x² + 3x + c, we find c by taking half of 3, squaring it, which gives us 9/4. Hence, the value of c is 9/4, making x² + 3x + 9/4 a perfect square trinomial.
Explanation:
To form a perfect square trinomial in the process of completing the square, you need to find the value of c that completes the square for the given quadratic expression x² + 3x + c. The process involves taking half of the coefficient of x, squaring it, and adding it as the constant term c.
Given that the coefficient of x is 3, we take half of it, which is 3/2, and then square this value to get (3/2)² = 9/4. Therefore, the value of c that makes x² + 3x + c a perfect square trinomial is 9/4.
This method is very helpful in solving quadratic equations by completing the square, and it forms a basis for the derivation of the quadratic formula.
(06.01 LC)
What type of association does the graph show between x and y?
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answers
Answer:
b
im taking the same test 4 years later
A 18 gram sample of a substance that’s used to detect explosives has a k-value of 0.1226
Find the substance’s half-life in days
Round your answer to the nearest tenth
Answers
Initial mass = 18 g
k-value = 0.1226
The mass at time t (days) is
[tex]m(t)=18e^{-0.1226t}[/tex]
At half life, m = 18/2 = 9 g.
The time for half life is given by
[tex]9 = 18e^{-0.1226t}[/tex]
Therefore
ln(1/2) = -0.1226t
Hence obtain
t = ln(1/2) / -0.1226
= 5.654 days
Answer: 5.7 days (nearest tenth)
Answer: 5.7
I just did the test and got it correct
Which equations have no solution? Check all that apply.
– |x| = 0
|x| = –15
– |x| = 12
– |–x| = 9
– |–x| = –2
Answers
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
2x+9y=-30;(-8,0
Answers
9y=-2x-30 divide both sides by 9
y=-2x/9-30/9
So the slope of the reference line is -2/9. For a line to be perpendicular to this line their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1 and in this case:
-2m/9=-1
m=9/2
m=4.5, so far we have:
y=4.5x+b, using point (-8, 0) we can solve for b
0=4.5(-8)+b
0=-36+b
36=b, so our line is:
y=4.5x+36
In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is . NextReset
Answers
Hope this helps
why is it useful to factor out the gcf first when factoring
Answers
Factoring out the Greatest Common Factor (GCF) simplifies the expression, making further manipulation and factoring simpler. It reduces complexity, much like simplifying fractions in arithmetic, and aids in revealing patterns for easier factoring. This step also minimizes calculation errors and assists in proper unit analysis during problem-solving.
Factoring out the Greatest Common Factor (GCF) is a critical step in the process of factoring algebraic expressions. This is important because it simplifies the remaining expression, making it easier to manipulate and factor further if necessary. It is similar to simplifying fractions before performing operations with them; the process becomes cleaner and more straightforward.
For example, when you have an equation with multiple terms, each with a common factor, factoring out this GCF reduces the complexity of the terms, possibly revealing a more obvious pattern or structure that can then be factored more easily. Additionally, removing the GCF early in the process can prevent calculation errors and make other factoring techniques, like the difference of squares or trinomial factoring, more apparent and easier to apply.
In cryptography, algorithms rely on the principle that multiplying large numbers is computationally simple, whereas factoring a large number into its prime factors is difficult. Similarly, in algebra, starting by factoring out the GCF simplifies the entire problem, making the next steps more manageable. In physics equations, where units are involved, ensuring that all factors are in proper form before solving can prevent unit conversion errors, thus factoring out can play a useful role in unit analysis as well.
If x-5=2 then find the value of 6x-20
Answers
x-5=2
x=7
Now plug it in to the other equation to get your answer.
6(7)-20
42-20
22
The answer is 22.
6x-20
=6(7)-20
=42-20
=22
What is the missing constant term in the perfect square that starts x^2+10x?
Answers
missing = 25
hope it helps
The missing constant in the perfect square is 25
Perfect squares of a quadratic equationA quadratic equation is of the form:
[tex]ax^2+bx+c[/tex]
The giving perfect square is:
[tex]x^2+10x[/tex]
Comparing the two equations above:
a = 1, b = 10
The coefficients a, b, and c are related by the equation:
[tex]b^2=4ac[/tex]
Substitute a = 1, b = 10, and solve for c
[tex]10^2=4(1)c\\\\4c=100\\\\c=\frac{100}{4} \\\\c = 25[/tex]
Therefore, the missing constant in the perfect square is 25
Learn more on perfect squares here: https://brainly.com/question/1538726
HELP
If f(x)=12x+4, then f^-1(x)=?
Answers
I hope that this helps you!
One half of a number decreased by 16
Answers
"One half of a number" will be a number (x) divided by 2. This can also be shown as "0.5x" or "1/2x", whichever you prefer.
"...decreased by 16" will be "– 16", making your full equation 0.5x – 16. Remember that terms like remainder, difference, and fewer will always mean subtraction.
Hope this helped you out! :-)
Given the points (2,k) and (0,−6) for which values of k would the distance between the points be square root of 5
?
Answers
d = sqrt( (x2-x1)^2 + (y2-y)^2 )
Some times is better the square of the distance:
d^2 = (x2-x1)^2 + (y2-y)^2
Now, in your case:
5^2 = (0-2)^2 + ( -6-k)^2 = (-2)^2 + (6+k)^2 = 4 + (6+k)^2
Notice the little thing about (-6-k)^2 = (6+k)^2 (less '-') Finally:
25 = 4 + (6+k)^2 ===> (6+k)^2 = 21,
6+k = sqrt(21)
Notice we did not expand (6+k)^2! No need this time. But now, the tricky part!
6+k=+sqrt(21) and 6+k=-sqrt(21), because both work (never forget that sqrt come with +/- when looking for solutions!)
k = -6 + sqrt(21) and k=-6-sqrt(21).
Both are valid answers. Some times one is not good because you need the solution be positive (for instance), but here, both are good.
Given the points (2,k) and (0,−6) for which values of k would the distance between the points be √5 ?
We will find that there are two possible values of k;
k = -5 and k = -7.
We know that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Here we have the points (2,k) and (0,−6), then the distance will be given by:
[tex]d = \sqrt{(2 - 0)^2 + (k - (-6))^2} = \sqrt{4 + (k + 6)^2}[/tex]
Now we want to find the value of k such that the distance is equal to √5, then we need to solve:
[tex]\sqrt{5} = \sqrt{4 + (k + 6)^2}[/tex]
removing the square root in both sides we get:
[tex]5 = 4 + (k + 6)^2\\\\5 - 4 = (k + 6)^2\\\\1 = (k + 6)^2[/tex]
Then we can see that (k + 6) = ± 1, solving these two equations (one for each sign) we get:
k + 6 = 1
k = 1 - 6 = -5
and
k + 6 = -1
k = -1 - 6 = -7
Then we found two possible values of k:
k = -5
k = -7
Below you can see the graph of the points A = (2, -5), B = (0, -6) and C = (2, -7)
If you want to learn more about distances, you can read:
https://brainly.com/question/5057237
The length of a rectangle is three times its width. if the perimeter of the rectangle is 98 cm , find its area.
Answers
8m = w
l = 3w = 3 (8m) = 24
a = l * w = 24 m * 8 = 192
a = 192
Please help me and show work so I can understand worth 20 points!!!
Answers
P(B)=1320,P(A∩B)=1325,P(A|B)=?
Answers
P(A|B) is the probability of event A happening given that B has occurred. It is calculated as P(A|B)=P(A∩B)/P(B). In this case, P(A|B) would be 1325/1320, assuming the provided values are correct.
Explanation:In the given question, we have the probabilities P(A∩B) and P(B), and we need to find P(A|B). The conditional probability P(A|B) is given by the formula P(A∩B)/P(B). In this case, P(A∩B) is given to be 1325, which seems a bit high. Normally, probabilities are numbers between 0 and 1 where 1 means certainty and 0 means impossibility. So, the value 1325 might be a typo. Anyway, assuming that it's not a typo, calculating P(A|B) would still involve the step P(A∩B)/P(B), which in this case is 1325/1320. This shows that A is slightly more likely to happen given B has already occurred.
Learn more about Conditional Probability here:https://brainly.com/question/32171649
#SPJ12
The problem is about conditional probability P(A|B), which is calculated using the formula P(A ∩ B)/P(B). Given the provided values, the result exceeds the maximum limit for a probability, suggesting an error in the original values.
Explanation:This problem asks us to determine the conditional probability of two events, specifically P(A|B). This represents the probability of event A occurring given that event B has occurred. According to the formula for conditional probability:
P(A|B) = P(A ∩ B) / P(B)
In your problem, we are given the values of P(B) and P(A∩B). Therefore we can substitute these into the formula: P(A|B) = 1325 / 1320. Please note the values seem to be incorrect because the probability of A and B (P(A ∩ B)) or A given B (P(A|B)) cannot be larger than P(B).
However, if we proceed with the given values, we get a result of P(A|B) = 1.0038, which is also unusual because probabilities range from 0 to 1.
Learn more about Conditional Probability here:https://brainly.com/question/32171649
#SPJ12
The sum of three consecutive even integers is 288. find the three integers.
Answers
288/3 =96
96-2 = 94
96+2 = 98
94 +96 +98 = 288
Answer:
94, 96, 98
Step-by-step explanation:
Let the smallest integer is x,
So, second larger integer = x + 2 (Because integer are even and consecutive),
And, largest integer = x + 2 + 2 = x + 4,
So, the sum of these integers = x + x + 2 + x + 4 = 3x + 6
According to the question,
3x + 6 = 288
3x = 282
⇒ x = 94
Hence, the integers are,
94, 94+2, 94+4
= 94, 96, 98
what is the domain and range of each function graohed below?
Answers
range is the y values
a.
the domain
hmm, seems to be all real numbers except for at x=0, it gets really close tho
so D=(-∞,0)U(0,∞)
range is all real numbers except for y=0, it gets really close tho
R=(-∞,0)U(0,∞)
b.
domain
that empty circle means something like < or >
goes from 5 to 6, not including 5
so domain is D=(5,6]
range is from -4 to 2, not including -4
range is R=(-4,2]
notice the holes, the excluded values, on the first one,due to an asymptote, on the second one, is in the line itself.