For two lines to be parallel, they have must the same slope. The slope of the given line is -1/4, hence the slope of the other line must be -1/4 as well.
To determine the equation of the line having the slope of -1/4 and passing through the point (2, -1), we can use the formula below:
\(y-y_1=m(x-x_1)\)Let's plug in the given information above to the formula.
\(y-(-1)=-\frac{1}{4}(x-2)\)Then, solve for y.
\(\begin{gathered} y+1=-\frac{1}{4}x+\frac{1}{2} \\ y=-\frac{1}{4}x+\frac{1}{2}-1 \\ y=-\frac{1}{4}x-\frac{1}{2} \end{gathered}\)Therefore, the equation of the line must be y = -1/4x - 1/2 (Option C).
Help asap i will give brainliest
Answer:
12
Step-by-step explanation:
(4*6)/2=12
Answer:
24 units
Step-by-step explanation:
multiply the 2 sides you'll get 24 units
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
What is greater? X or -X and Why?
Step-by-step explanation:
A negative number(or variable, in this case) is less than 0. For example, which is greater, 3 or -3? 3, right?
In variables, x or a or m or whatever, can also be represented as 1x or 1a or 1m, and so on. So in the question, it's asking which is greater, x or -x? Think of the variables as 1x or -1x.
So 1x is greater.
Hope it helps!
Answer:
X is
Step-by-step explanation:
A negative number is always leeser than a whole number
Hope this helps
Plz mark brainlest
Leo has 18 yards of fabric that he wants to cut into pieces that are each 1 foot long. How many one foot long pieces can Leo create?
For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton how many parts must the factory produce so that there is1 ton of scrap aluminum for recycling
The factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.
It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling
What is a Ratio?
A quantitative relation between two amounts showing the number of times one value contains in another
1 part produced ⇒ 5 ounces scrap aluminium recycled.
So, the ratio of parts produced : Scrap of aluminium = 1 : 5 .... (a)
Let us assume for m parts produced , 1 ton of scrap is recycled.
Also, 1 ton = 2, 000 pounds
and 1 pound = 16 ounces
⇒ 1 ton = 2000 x (16 ounces) = 32,000 ounces
So, for m parts made in the factory, 32,000 ounces scrap is recycled.
So, the ratio of parts produced : Scrap of aluminium = m : 32,000 .... (b)
From both the given ratio, we get
1 : 5 = m : 32,000
m=32000/5
m=6400
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I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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Find (f + g)(x) for the functions provided: f(x) = 2x - 5,g(x) = 4x + 3
Given:
f(x) = 2x - 5
g(x) = 4x + 3
(f + g)(x) can be found as,
\(\begin{gathered} (f+g)(x)=f(x)+g(x) \\ =2x-5+4x+3 \\ =6x-2 \end{gathered}\)Therefore, (f + g)(x)=6x-2.
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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Find the area of a triangle with a base of 7.5 m and a height of 4*
Answer:
15 units²
Step-by-step explanation:
Hi there!
\(A=\displaystyle\frac{1}{2} bh\) where b is the base and h is the height
Plug in the base (7.5) and height (4):
\(A=\displaystyle\frac{1}{2} (7.5)(4)\\\\A=\displaystyle\frac{1}{2} (30)\\\\A=15\)
Therefore, the area of the triangle is 15 units².
I hope this helps!
Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean
(a) Find endpoints of a t-distribution with 5 % beyond them in each tail if the sample has size n = 12.
(b) Find endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20.
Answer:
a) Hence the endpoints of a t-distribution with 5% beyond them in each tail if the sample has size n=12 is ± 1.796.
b) Hence the endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ± 2.539.
Step-by-step explanation:
Here the answer is given as follows,
PLEASE HELP ASAP 50 POINTS AND BRAINLIEST EASY QUESTION!
Which options have a unit rate of 3?
1. 3 3/4 : 2
2. 2 : 2/3
3. 15/2 : 2 1/2
4. 2 1/2 : 5/6
5. 1 : 1/4
6. 2/3 : 1
PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEASE!
95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
A food truck is serving a special lunch combo meal that includes a drink, a main dish, and a dessert.
Customers can choose from 2 drinks, 4 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... different lunch combo meals.
Answer:
It's 90 if you go through k12 :]
Step-by-step explanation:
The number of ways to choose a combo meal is 24.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
2 drinks, 4 main dishes, and 3 desserts
Now,
To find the number of different combo meals possible, we can use the fundamental counting principle. This states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
2 ways to choose a drink
4 ways to choose a main dish
3 ways to choose a dessert
2×4×3=24
Therefore, by algebra the answer will be 24.
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Determine the midpoint of the line segment shown in the figure below
Answer:
.05,.05
Step-by-step explanation:
Solve : 21 divided by -3 =
Answer:
-7
Step-by-step explanation:
21 divided by -3 = -7
-7 times -3 =21
The meaning of the decimal representation of a number 0.d1d2d3?. (where the digit d1 is one of the numbers 0,1,2,?., 9) is that Show that this series always converges.
This series 9 (.d1d2d3 . . .) is convergent because it is in increasing order.
How to describe the convergent series?In a geometric progression, each element following the first is created by multiplying it by a number known as the common ratio, which is represented by the symbol r.For the stated question-
The information provided indicates that the decimal expression's digits, d, are 10.The common ratio is 1/10, and the right-hand side of a inequality is a sum with 1 as the first term in the geometric progression.The geometric progression's sum in this instance is represented as follows:
= a / (1 - r)
= 1 / (1 - r)
= 10/9
As a result, the series becomes convergent since it is in increasing order.
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The complete question is-
The meaning of the decimal representation of a number 0.d1d2d3 . . . (where the digit i is one of the numbers 0, 1, 2, . . ., 9) is that 0.d1d2d3d4 . . . = d1/10 + d2/10^2 + d3/10^3 + d4/10^4 + . . . Show that this series always converges.
Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same number of rocks for himself), how many rocks did each person get ?
Answer:6. 42 split 7 ways is 6
Step-by-step explanation:
Selena is baking chocolate chip cookies. The recipe calls for 2 cups of
chocolate chips. If she has already put in 1 cups into the batter how many
more cups of chocolate chips should be added to the batter
Well 1 more cup of chocolate chips since she already put one cup and she needs 2 cups?
Answer: 1 more cup
(5/12 - 1/4) ÷ (1/3 + 1/16)
Answer:
8/9 = 0.421052632
Step-by-step explanation:
(5/12 - 1/4) / (1/3+1/16)
Least common multiple of 12 and 4 is 12. Convert 5/12 and 1/4 o fractions with denominator 12.
5/12 - 3/12 / 1/3+1/16
Since 5/12 and 3/12 have the same denominator, subtract them by subtracting their numerators.
5-3/12 / 1/3+1/16
Subtract 3 from 5 to get 2.
2/12 / 1/3+1/16
Reduce the fraction 2/12 to lowest terms by extracting and canceling out 2.
1/6 / 1/3 + 1/16
Least common multiple of 3 and 16 is 48. Convert 1/3 and 1/16 to fractions with denominator 48.
1/6 / 16/48 = 3/48
Since 16/48 and 3/48 have the same denominator, add them by adding their numerators.
1/6 / 16+3/48
Add 16 and 3 to get 19.
1/6 / 19/48
Divide 1/6 by 19/48 by multiplying 1/6 by the reciprocal of 19/48
1/6 x (48/19)
Multiply 1/6 times 48/19 by multiplying numerator times numerator and denominator times denominator.
1 x 48/6 x 19
Do the multiplications in the fraction 1 x 48/6 x 19
48/114
Reduce the fraction 48/114 to lowest terms by extracting and canceling out 6.
8/19
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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the freshman class is selling popcorn and candles as a fundraiser popcorn and sell them for $5 a bag and candle sell $15 each a total of 824 items were sold and 5555 was raised how many of each item was sold
Step 1. Define our variables.
\(undefined\)Which net can be folded to form a pyramid? A net has a square at the center. Squares are on 2 sides and triangles are on 2 sides. A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side. A net has a square at the center. 3 triangles are on 1 side. A net has a square at the center. A triangle and square are on 1 side and a square and triangle are on another side.
The net that can be folded to form a pyramid is A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side.
What is a net?A net is a two-dimensional representation of a three dimensional solid object showing its faces.
Examples of material which can have nets are
cubes, cuboids prisms etcWhat is a pyramid?Now, for a pyramid, we know that a pyramid is a three dimensional solid object that has one square base and four triangular sides.
So, when a pyramid is split into its net, it will have one square at the center and four triangles on the sides of the squares.
So, the net that can be folded to form a pyramid is A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side.
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Answer:
B
Step-by-step explanation:
You need to use the net that only have 1 square because a pyramid only has 1 square, it also has all the triangle sides needed which is 4. You can use a model to make a pyramid out of this net
Does anyone know how to do this? Please help!
Hence, or otherwise, write down the coordinates of the turning point of the graph of
y = 2x^2 – 12 x + 23
Answer:
\( \frac{1}{2} \frac{45}{2} \)
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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2% of what number is 1
Answer:
50
Step-by-step explanation:
Please help it’s pretty easy and I’ll reward brainiest
X
What is the multiplicative inverse of 5/6
The multiplicative inverse of 5/6 as required to be determined in the given task content is 6/5.
What is multiplicative inverse?It follows from the task content that the multiplicative inverse of the given number; 5/6 is required to be determined.
By definition; it follows that the Multiplicative inverse of an expression refers to its reciprocal. It is the value that, when multiplied by the original, give a product of 1 (the multiplicative identity element).
So,
5/6 × 6/5
= 30/30
= 1
Hence, 6/5 is the multiplicative inverse of 5/6
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Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.
2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.
3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.
1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.
2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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The figure is cut into 15 equal pieces. Shade 2/5 of the figure
Answer: Shade 6 pieces
Step-by-step explanation:
Because 2/5 of 15 is 6