Answer: b
Step-by-step explanation:
hope this helps
Barbara draws a parallelogram. Jason thought it might be a rhombus. What additional information would have to be true for the parallelogram to also be a rhombus?a. Opposite sides congruent.b. Diagonals are perpendicular.c. Consecutive angles supplementary.d. Opposite angles congruent.
The information that would be true for a parallelogram to also be a rhombus is "Diagonals are perpendicular". So, option b is correct.
What are the required properties for a parallelogram to be also a rhombus?For a parallelogram,
The opposite sides are parallelThe angle opposite to each other are equalThe diagonals bisect each otherThe corresponding or consecutive angles are supplementaryEach diagonal divides the parallelogram into two congruent triangles.For a rhombus,
All the sides in a rhombus are equal in measureThe opposite sides are parallel to each otherThe diagonals bisect each other at the right angleThe opposite angles in it are equalSo, to make a parallelogram to be a rhombus, the diagonals of the parallelogram must be perpendicular.
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What is the lateral surface of the triangular prism?
Answer:
5
Step-by-step explanation:
What matrix E puts A into triangular form EA=U ? Multiply by E−1=L to factor A into LU. A=
⎣
⎡
1
2
2
3
4
0
0
0
1
⎦
⎤
⎣
⎡
1
0
0
0
1
−1
0
0
1
⎦
⎤
⎣
⎡
1
−2
0
0
1
0
0
0
1
⎦
⎤
⎣
⎡
1
0
0
0
1
0
−2
0
1
⎦
⎤
E=E
3
⋅E
2
⋅E
1
=
⎣
⎡
1
−2
0
2
1
−1
−2
0
1
⎦
⎤
E⋅A=
⎣
⎡
1
0
0
11
−2
−4
−2
0
1
⎦
⎤
To put matrix A into triangular form EA=U, you can multiply A by the inverse of matrix E. Let's call the inverse of E as L. So, A can be factored into LU as A = LU.
The given matrices are:
E = [1 -2 0; 2 1 -1; -2 0 1]
A = [1 2 2; 3 4 0; 0 0 1]
To find the matrix L, we need to find the inverse of E:
E^-1 = [1/3 -2/3 2/3; 2/3 1/3 1/3; -2/3 0 1/3]
To find the matrix U, we can multiply E^-1 with A:
U = E^-1 * A
Calculating the multiplication, we get:
U = [1 0 0; 1 5 -2; -2 -2 -1]
A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. It is a fundamental concept in linear algebra and has various applications in mathematics, computer science, physics, and other fields.
A matrix is typically denoted by a capital letter and its entries are enclosed in parentheses, brackets, or double vertical lines. For example, a matrix A can be represented as:
A = [a11 a12 a13
a21 a22 a23
a31 a32 a33]
In this matrix, the numbers a11, a12, a13, a21, a22, a23, a31, a32, and a33 are the entries of the matrix arranged in three rows and three columns.
Matrices can have various dimensions, such as m × n, where m represents the number of rows and n represents the number of columns. A matrix with m rows and n columns is called an m × n matrix. For example, a matrix with 2 rows and 3 columns is a 2 × 3 matrix.
Matrices can be added, subtracted, and multiplied by scalars. Matrix addition and subtraction are performed by adding or subtracting corresponding entries of the matrices. Scalar multiplication involves multiplying each entry of a matrix by a scalar value.
Matrix multiplication is a bit more involved. To multiply two matrices A and B, the number of columns in matrix A must be equal to the number of rows in matrix B. The resulting matrix, denoted as AB, will have the number of rows of A and the number of columns of B. The entries of the resulting matrix are computed by taking dot products of the corresponding rows and columns.
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Write the equation of the line parallel
to y = 4 /5x + 4/5 that passes through the point ( -6,6).
Step-by-step explanation:
Here, slope= 4/5 , As y= mx+c
according to formula, y-y1= m(x-x1)
y-6= 4/5(x+6)
5/4 (y-6)= x+6
5/4y - 15/2= x+6
x- 5/4y + 27/2 =0
Write the equation of the line that has a slope of 4/5 and a y-intercept of -8.
The equation of any staright line can be written as y = mx + c , where m is its slope and c is its y - intercept . hence, equation of line with slope = 4/5 and y - intercept = -8 is,
→ y = 4/5x - 8
→ m - c = 4/5 + 8 = 12/5
hope this answer helps you dear take care!
3. Assume that a small open economy can be described as follows: Y=C+I+G + NX Y = F(L,K) = Y = 5000 C = 1000+ 0.5(Y - T) I = 2000 20r G = G = 1600 T = T = 1000 r = r* = 6% Please note that economists are treating interest rates as whole numbers, not decimals, e.g., if the interest rate is 3%, then r = 3. a. What is the trade balance? Is the country experiencing a trade surplus, a trade deficit, or balanced trade? Explain. b. Is the country borrowing or lending money on the world financial markets? If so, how much? Explain.
The country is borrowing 1600 units of money on the world financial markets.
a. To determine the trade balance, we need to calculate the net exports (NX) using the given information. The formula for net exports is:
NX = Y - (C + I + G)
Given:
Y = 5000
C = 1000 + 0.5(Y - T) = 1000 + 0.5(5000 - 1000) = 1000 + 0.5(4000) = 1000 + 2000 = 3000
I = 2000
G = 1600
T = 1000
Plugging these values into the net exports equation:
NX = 5000 - (3000 + 2000 + 1600) = 5000 - 6600 = -1600
The trade balance is -1600. A negative trade balance indicates a trade deficit, which means that the country is importing more goods and services than it is exporting. In this case, the country is experiencing a trade deficit.
b. To determine whether the country is borrowing or lending money on the world financial markets, we need to examine the relationship between domestic investment (I) and national saving (S). If domestic investment exceeds national saving, the country is borrowing money. If national saving exceeds domestic investment, the country is lending money.
The formula for national saving (S) is:
S = Y - C - G
Plugging in the given values:
S = 5000 - 3000 - 1600 = 400
The national saving is 400.
Since investment (I) is 2000, which is greater than national saving (400), the country is borrowing money on the world financial markets. The amount being borrowed is the difference between investment and national saving:
Borrowing = I - S = 2000 - 400 = 1600
Therefore, the country is borrowing 1600 units of money on the world financial markets.
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Draw the image of AABC under a translation by 3 units to the left and 3 units down.
Answer:
you will have to move the full shape 3 squares to the left (<--) and 3 squares down
Step-by-step explanation:
hope this helps
Which number goes in the box?
8 + 9 = 9 +
Answer:
8
Step-by-step explanation:
I hope this helps you out!
Answer:
8
Step-by-step explanation:
...
What is the estimated quotient of 8 455 divided by 17? *.
Answer:
34.7647058824
Step-by-step explanation:
11. Natalee wanted to write a function which shows a 40% increase in bacteria growth.
There were 100 bacteria to start. She wrote y = 100 (40)* but she felt that she was
wrong because her y-values were extremely high when she graphed it. Identify Natalee's
mistake, and write the actual function for this scenario.
Natalee's mistake is that she has written the function incorrectly. In her function, she has multiplied the starting number of bacteria, 100, by the growth rate, 40%, to get the final number of bacteria. However, this is not correct because a growth rate of 40% means that the number of bacteria increases by 40% of the starting number, not by 40 itself.
To write the correct function, we can use the fact that a growth rate of 40% means that the final number of bacteria is 1.4 times the starting number. Therefore, the correct function for this scenario is y = 1.4 * 100 = <<1.4*100=140>>140. This function shows that the number of bacteria increases to 140 after experiencing a 40% increase in growth.
Answer:
The actual function for this scenario would be:
y = 100 * 1.40
Step-by-step explanation:
Natalee's mistake was that she didn't add 1 to the value of the increase. When you multiply a number by 1 plus the percentage increase, you get the correct result. In this case, the correct function would be:
y = 100 * 1.40
This function will show a 40% increase in the number of bacteria, starting with 100 bacteria. When graphed, the y-values will not be extremely high.
if you have any question let me know!
What is 2^4 in standard form?
Answer:
2^4=16
Step-by-step explanation:
2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.
If this has helped you please mark as brainliest
(-3f+9)-(2-6f) what’s the answer
Answer:
jhi
Step-by-step explanation:
Answer:
3f+7
Step-by-step explanation:
someone help me for max points and brainliest
Well, the directions are laid out for you...
If F = 0.3444…, then 10F = 3.444.... Subtracting F from this gives
10F - F = 3.444… - 0.3444…
9F = 3.1
Solve for F.
F = 3.1/9 = (31/10)/9 = 31/90
so you would enter 90.
Pls help me with dis
Answer:
The Answers
Step-by-step explanation:
Flag = 46
Clover = 46
Hat = 27
Acorridan thing = 198
Final answer = 317
IF right u can get brainlist
Answer:
d
Step-by-step explanation:
Help please the question is in the photo
an urn contains two red balls and three white balls. if a ball is chosen at random, what is the probability that it is white?
If an urn contains two red balls and three white balls and a ball is chosen at random, then the probability of getting white ball is 3/5
The number of red balls = 2 balls
The number of white balls = 3 balls
Total number of balls = 2 + 3
= 5 balls
The probability = Number of favorable outcomes / Total number of outcomes
Number of favorable outcomes = Number of white balls = 3
Total number of outcomes = 5
The probability = 3/5
Hence, if an urn contains two red balls and three white balls and a ball is chosen at random, then the probability of getting white is 3/5
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Select the correct answer from each drop-down menu.
As x approaches positive infinity, m(x) approaches positive infinity.
As x approaches negative infinity, m(x) approaches negative infinity.
What is meant by function?An expression, rule, or law in mathematics that establishes a connection between one variable (the independent variable) and another variable (the dependent variable).
A graph is considered to be a function if any vertical line formed can cross it at most one point. The graph is not a function if it contains any locations where a vertical line can pass through it twice or more.
If a function produces the same outcome regardless of how the input is represented without changing its value, it is said to be well defined.
A function is a rule that is applied to a number, known as an input, in order to produce a result, known as an output.
when \($x^n$\) ( n is odd number and n > 0), a > 0 and c is any constant,
\($$x \rightarrow \infty, a x^n+c \rightarrow+\infty\)
\($x \rightarrow-\infty, a x^n+c \rightarrow-\infty$\)
The complete question is;
The function f(x) = x^3 has been transformed, resulting in function m.
m(x) = 1\3x^3 + 6
As x approaches positive infinity, m(x) approaches___
As x approaches negative infinity, m(x) approaches___
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What is the slope of the line represented by f(x)=3/2x-4
Answer:
M=3/2
Step-by-step explanation:
f(x) is basically the same thing and y. So it is already in slope-intercept form which makes it easier to find the slope.
the formula is:
y=mx+b m is the slope and b is the y-intercept.
Your answer is 3/2
F(x)=3/2x-4
ANSWER:
3/2
hope this helps you!!!!!
Answer:
3/2
Step-by-step explanation:
The equation is written in slope-intercept form, y = mx + b, where m represents the slope. The coefficient of x is 3/2, so the slope of the line is 3/2.
write an equation for a parabola with a vertex of (-1, -10) and a focus of (-1, -9)
Answer:
(x + 1)² = 4(y + 10)
Step-by-step explanation:
Equation of parabola:
(x - h)² = 4a(y - k)
with vertex(h, k) and focus (h, k + a)
vertex(h, k) = (-1, -10)
⇒h = -1 and k = -10
focus (h, k + a) = (-1, -9)
⇒ k + a = -9
⇒ -10 + a = -9
⇒ a = 10 - 9
⇒ a = 1
Equation of parabola:
(x - h)² = 4a(y - k):
(x - (-1))² = 4(1)(y - (-1))
= (x + 1)² = 4(y + 10)
pls give me the correct answer
Answer:
-21, -16, -14, -12, -11.
and
p≤−11
Hope this helps!
Solve the triangle.
a= 10.0 ft, b= 11.0 ft, c = 13.0 ft
What is the measure of angle A?
A=⁰
(Round to two decimal places as needed.)
What is the measure of angle B?
B =°
(Round to two decimal places as needed.)
What is the measure of angle C?
c=°
(Round to two decimal places as needed.)
...
Answer:
Below in bold.
Step-by-step explanation:
Using the Cosine Rule:
a^2 = b^2 + c^2 - 2bc cos A
10^2= 11^2 + 13^2 -2.11.13 cos A
cos A = (11^2 + 13^2 - 10^2) / (2*11*13)
= 0.66434
m < A = 48.368 degrees
= 48.37 degrees to 2 D. P's.
By the Sine Rule:
a / sin A = b / sin B
10 / sin 48.368 = 11 / sin B
sin B = 11 * sin 48.368 / 10
= 0.82217
m < B = 55.303
= 55.30 degrees to 2 D,P's
So, m < C = 180 - 48.37 - 55.30
= 76.33 degrees
Write each number in standard notation 2.7 time 10 to the 8 please explain step by step
Answer:
270,000,000
Step-by-step explanation:
2.7 time 10 to the 8 means 2.7*10⁸ in scientific notation
To put it in standard notation
Multiply 2.7 by 10⁸, which is 100,000,000
2.7*100,000,000 = 270,000,000Yesterday, Jack drove 35 1/2 miles used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
28.4 miles/gallon
Step-by-step explanation:
to find the answer, you need to find the constant by dividing the miles drove by the amount of gasoline (or the other way around in terms of wording if it is not correct grammar) So you need to do 35.5/1.25 . FYI I converted the fraction to decimal. The answer is 28.4 miles/gallon.
Hope this helped!! :)
if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen?
There are 69300 possible ways of selecting six bottles randomly with two bottles of each variety.
Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. In the given question, we have to select 6 bottles randomly with two bottles of each variety,
= ¹⁰C₂× ⁸C₂ × ¹¹C₂
¹⁰C₂= [1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10] / [(1 × 2)(1 × 2 × 3 × 4 × 5 × 6 × 7 × 8)]
= 90/2
= 45
Similarly, ⁸C₂ = 28
In the same way ¹¹C₂= 55
= ¹⁰C₂× ⁸C₂× ¹¹C₂
= 45 × 28 × 55
= 69300
Therefore, there are 69300 possible ways of selecting 6 bottles with two bottles of each variety.
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Choose the linear equation that is parallel to the following line y =−1/4 x − 1
Answer:
Any equation that has the same slope as this line will be parallel to it. The slope is -1/4, so whichever equation has -1/4 x in it will be parallel to the line.
0 > c + 10 ____________________________
is that a question or no?
Select the correct answer. Which graph represents this equation? y=3/2x^2-6x The images are by A,B,C,D
Answer:
the answer is D
Step-by-step explanation: First you make the y = 0 then you swap the sides
3/2x^2-6x=0 then you factor the expressions X * (3/2x-6)=0. when the product of factors 0, one of the factors are 0. X=0 finally solve for the other X. 3/2x-6=0 X=0 X=4
Answer:it’s D
Step-by-step explanation:
on edmentum
i need this by 02/14/23
5x5x5x=625= ?
Answer:
45
Step-by-step explanation: i know what im talking about :)
if a franchise company wanted to determine the next best location for a store, they might run a regression with expected sales as a dependent variable. which of the following could be possible independent variables? pick the best answer. group of answer choices number of rainy days and number of snow days sales and expenses nearby population and local average income number of employees and size of the building
The best answer is the nearby population and local average income.
What is the average?
This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
The independent variables in a regression analysis are the variables that are believed to have an impact on the dependent variable.
In this case, the dependent variable is expected sales, and the independent variables are factors that could influence sales at a particular location.
Of the options given, nearby population and local average income are both factors that could reasonably be expected to have an impact on expected sales at a store location.
A larger nearby population may indicate more potential customers, while a higher local average income may indicate more purchasing power among those customers.
The other options, number of rainy days and number of snow days, sales and expenses, and number of employees and size of the building, are all variables that could be relevant in other contexts, but are less directly related to expected sales at a store location.
Hence, The best answer is the nearby population and local average income.
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