Answer:
4294967296 Kilograms
Step-by-step explanation:
Great Pyramid has 2^21 blocks
2^21 = 2097152, so
2097152 blocks
Blocks weigh 2^11 each
2^11 - 2048, so
2048 kg per block
2097152(number of blocks) x 2048(weight in kilograms per block) = The Great Pyramid in Egypt weighs 4294967296 Kilograms
Step-by-step explanation:
More than 2,300,000 limestone and granite blocks were pushed, pulled, and dragged into place on the Great Pyramid. The average weight of a block is about 2.3 metric tons (2.5 tons).
How much is that? Well, you can think of it in terms of refrigerators. An average refrigerator weighs about 91 kg. If 1 metric ton = 1,000 kg, how many refrigerators equal a 2.3-metric ton block?
A 25 refrigerators
B 5 refrigerators
C 90 refrigerators
(hope this helps!)
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
1/3t - 8 = -6
what is t?
Answer:
t=6
Step-by-step explanation:
your welcome :)
Answer:
I believe that the answer is 6
Step-by-step explanation:
Because I got it right
Two identical trains, each with 31 cars, are traveling in opposite directions. When car Number 19 of one train is opposite car Number 19 of the other, which car is opposite car Number 12?
Car 12 of Train B is also 12 cars away from Car 19 on Train B.
How to explain the informationSince each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:
31 - 19 = 12
Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.
Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.
In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.
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2 log5 x=log5 4+log5 9
The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.
To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.
Using the properties of logarithms, we can rewrite the equation as follows:
2 log₅ x = log₅ (4 * 9)
Next, we simplify the right side:
2 log₅ x = log₅ (36)
Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:
x² = 36
Taking the square root of both sides, we get:
x = √36
Since the square root of 36 can be either positive or negative, we have two possible solutions:
x = 6
It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.
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a) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing matrix
and vector notation and in accordance with ()
= () form.
b) (10 pts) Is the system obtained in (a) stable, neutrally stable of unstable? Determine this using matrix.
c) (10 pts) Compute the eigenvalues and eigenvectors of matrix.
d) (10 pts) Using the results computed in (c) find and matrices and show that =
−
relationship
(i.e., the diagonalization relationship) is a valid relationship.
a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:
\(x' = Ax\)
where x is a vector and A is a square matrix.
b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.
If all eigenvalues have negative real parts, the system is stable.
If at least one eigenvalue has a zero real part, the system is neutrally stable.
If at least one eigenvalue has a positive real part, the system is unstable.
c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation
\(det(A - \lambda I) = 0\),
where λ is the eigenvalue and I is the identity matrix.
By solving this equation, we obtain the eigenvalues.
Substituting each eigenvalue into the equation
\((A - \lambda I)v = 0\),
where v is the eigenvector, we can solve for the eigenvectors.
d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:
\(A = PDP^{(-1)}\)
where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.
To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.
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i'll mark brainliest, thanks in advance!
Three triangles are shown.
x represents the measure of an angle, y represents the measure of its supplement, and a and b represent the measures of the other 2 angles. Which of the following statements is true for all three triangles?
x>y because a+b>y
x is greater than y because A plus b is greater than y
y>x because 180−x>a+b
y is greater than x because 180 minus x is greater than A plus b
x=(a+b)−180
x is equal to open paren A plus b close paren minus 180
y=180−(a+b)
Answer:
I think that it may be the last one
Step-by-step explanation:
Use the given conditions to write an equation for the line.
Passing through (-7,9) and parallel to the line whose equation is 5x-2y-7=0
Answer:
y=5x+44
Step-by-step explanation:
Parallel lines have equal gradients therefore the line will have a gradient =5
Substitute the gradient into the equation y= mx+c. You'll get something like this: y=5x+c
Substitute the given point into the equation. You'll get something like this: 9=5(-7)+c
Calculate the value of c. You'll get 44 as the value of c.
Then substitute the value of c into the original equation. You'll get y= 5x+44
(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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Let f (x) = x - 4 . Graph g(x) = f (5x)
Choose the description of the transformation from the graph of f to the graph of g.
A.) The graph of g is a horizontal stretch of the graph of f by a factor of 5.
B) The graph of g is a horizontal shrink of the graph of f by a factor of 1/5
C) The graph of g is a vertical stretch of the graph of f by a factor of 5
D) The graph of g is a vertical shrink of the graph of f by a factor of 1/5
And what points would be plotted on a graph?
The graph of g(x) is on the image at the end, and the correct option for the transformation is B.
Which is the transformation applied?We define a horizontal dilation of scale factor k as:
g(x) = f(k*x)
if k > 1, we have a stretch.
if 0 < k < 1, we have a shink of scale factor 1/k
Here we have:
g(x) = f (5x) = 5x - 4
We can notice that k = 5, then we have a stretch, thus, the correct option is B.
The graph of function g(x) can be seen in the image at the end.,
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A government agency estimates the number of young adults (ages 18 to 24) in a particular country to be 31,000 (in thousands) in 2010 and changing at the rate of −x2 + 90x − 200 thousand per year, where x is the number of years since 2010. Find a formula for the size of this population at any time x. [Hint: Keep all calculations in units of thousands.]
Answer:
\(\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}\)
Step-by-step explanation:
From the given information:
Let assume the population is denoted by L
The rate of change of the young adults per year given can be represented as;
\(\dfrac{dL}{dx}= -x^2 +90x - 200\)
where;
x = 0 since 2010
\(dL = -x^2 +90x -200 dx\)
\(L = \int( -x^2 +90x -200 ) \ dx\)
\(L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C\)
here;
L(0) = 31000
∴
\(- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000\)
C = 31000
\(\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}\)
At a candy store, Arianna bought 4 pounds of jelly beans and 3 pounds of gummy worms for $39. Meanwhile, Sue bought 6 pounds of jelly beans and 6 pounds of gummy worms for $66. How much does the candy cost? A pound of jelly beans costs $________, and a pound of gummy worms costs $__________.
HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
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The volume of this cylinder is 2,813.44 cubic feet. Height is 14 feet. What is the radius?
Answer :
8 feet.Given :
The volume of cylinder is 2,813.44 cubic feet.Height of the cylinder is 14 feet.To Find :
The radius.Solution :
We know,
\( \bf \longrightarrow \qquad \: \pi {r}^{2} h = \: Volume_{(cylinder)}\)
Where,
r is the radius of the cylinder.h is the height of the cylinder.Here, we will take the value of π as 3.14 approximately .Substituting the values in the formula :
\( \sf \longrightarrow \qquad \: 3.14 \times {r}^{2} \times 14 = \: 2813.44\)
\(\sf \longrightarrow \qquad \: 43.96 \times {r}^{2} = \: 2813.44\)
\(\sf \longrightarrow \qquad \: {r}^{2} = \: \dfrac{ 2813.44}{43.96}\)
\(\sf \longrightarrow \qquad \ {r}^{2} = \: 64\)
\(\sf \longrightarrow \qquad \: {r} = \: \sqrt{64} \)
\(\pmb{ \bf{ \longrightarrow \qquad \: {r} = \: 8}}\)
Therefore,
The radius of the cylinder is 8 feet.What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Problem is in the picture
The height of a woman whose femur (f) measures 49 centimeters is equal to 173.15 centimeters.
What is a function?A function can be defined as a mathematical expression that defines and represents the relationship that exists between two or more variable of a data set.
In order to determine the height of a woman whose femur (f) measures 49 centimeters, we would substitute this numerical value into the first function as follows:
G(f) = 2.57f + 47.22
G(49) = 2.57(49) + 47.22
G(49) = 125.93 + 47.22
G(49) = 173.15 centimeters.
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Which sequence of transformations will map PQ onto RS?
A sequence of transformations that would map PQ onto RS include the following: A. a 90° clockwise rotation about the origin, then a reflection in the x-axis.
What is a reflection over the x-axis?In Mathematics and Geometry, a reflection over the x-axis is represented by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
For a 90° clockwise rotation about the origin, the new coordinates of P is given by:
(x, y) → (y, -x)
P (-6, 10) → (10, -(6)) = P' (10, -6)
Next, we would apply a reflection over or across the x-axis;
(x, y) → (x, -y)
P' (10, -6) → (10, -(-6)) = S (10, 6)
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Ayudaaaaaaaaaaaaaaaaaa aaa aaa aaa Doy corona
Answer:
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Step-by-step explanation:
photo above, please give me some encouragement :(
Answer:
you can do this!!!!
Step-by-step explanation:
we ly and ik your'e making you mom pround and thats good, so keep up the hard work <3333
Large eggs weigh 1/1/2 pounds per dozen. Dawn bought eight large eggs. How much did the eggs weigh
Answer:
12
Step-by-step explanation:
1.5 is 1 1/2 in decimal form
1.5×8=12
Place the following temperatures in order from coldest to hottest: -8°C, 10°C, -5°F, 40°F
a.
-5°F, -8°C, 40°F, 10°C
b.
-5°F, -8°C, 10°C, 40°F
c.
-8°C, -5°F, 10°C, 40°F
d.
-8°C, -5°F, 40°F, 10°C
ANSWER IS A
Answer:
a. -5°F, -8°C, 40°F, 10°C
Step-by-step explanation:
-17°C is when F = 0, so -8°C is way higher than -5°F. -8°C comes right after, and 40°F is a bit lower than 10°C. You can convert F to C is °F = (C * 9/5) + 32 and you can convert C to F with (F -32) x 5/9
I also need help on this, it would mean millions to me as this is for a grade. :)
Answer:
The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)
Which is the correct formula to find the distance between two points (a, b) and (c,d)?
d =
a-D )+(c-d
d-
a+c)2-( D + d
d-
a+b ) - ( c+d)
0 -
2-0 )2 + ( b-d)
Answer:
Distance = √(a - c)² + (b - d)²
Step-by-step explanation:
Given:
Two points
(a, b) (c, d)
Find:
Distance
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
So,
Distance = √(a - c)² + (b - d)²
((2016^2016)-(2016^2015))
/2015^2015
Answer:
2015(2016/2015)^2015
Step-by-step explanation:
\(\dfrac{2016^{2016}-2016^{2015}}{2015^{2015}}=\dfrac{2016^{2015}(2016-1)}{2015^{2015}}\\\\=2015\cdot\left(\dfrac{2016}{2015}\right)^{2015}\approx5475.9794\)
Can someone pls help me I feel like I am going to die
Answer:
the first si the correct
Answer:
It's A.
It says he wrote checks for 20 dollars and 30 dollars, which takes away 20 dollars and then 30 more dollars, then he deposited 40 more dollars.
Step-by-step explanation:
Suppose he got dilates the rectangle shown below with the center of dilation at 0,0 and a scale factor of 2, and then translates the figure 1 unit to the left. What will be the coordinates of the vertices of the similar figure that results
The vertices of the similar figure that results from the dilation and translation will be A'' = (2a - 1, 2b), B'' = (2c - 1, 2b), C'' = (2c - 1, 2d), and D'' = (2a - 1, 2d).
Assume that the rectangle's four vertices are A, B, C, and D, with the corresponding coordinates being (a, b), (c, b), (c, d), and (a, d).
First, enlarge the rectangle.
We must multiply the coordinates of each vertex by the scale factor of two in order to enlarge the rectangle. We can apply the following formulas because the centre of dilation is at (0, 0):
Old x-coordinate + 2 equals the new x-coordinate
Old y-coordinate + 2 times the new y-coordinate
Therefore, following dilation, the new coordinates for the vertices will be: A' = (2a, 2b)
B' = (2c, 2b)
C' = (2c, 2d)
D' = (2a, 2d)
Translate the Figure in Step 2
The x-coordinate of each vertex must be reduced by one in order to translate the figure one unit to the left. Therefore, following translation, the vertices' new coordinates will be: A' = (2a - 1, 2b)
B'' = (2c - 1, 2b)
C'' = (2c - 1, 2d)
D'' = (2a - 1, 2d)
As a result, A'' = (2a - 1, 2b), B'' = (2c - 1, 2b), C'' = (2c - 1, 2d), and D'' = (2c - 1, 2d) will be the vertices of the similar figure that comes from the dilation and translation. (2a - 1, 2d).
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The following question may be like this:
Suppose he got dilates the rectangle shown below with the center of dilation at 0,0 and a scale factor of 2, and then translates the figure 1 unit to the left. What will be the coordinates of the vertices of the similar figure that results
Peter ordered 12 boxes of egg tarts to be shared equally during a birthday party. 36 guests were invited for the party. Each box had 12 tarts. Some of the guests did not attend the party and the guests who attended ate one more egg tart than originally planned. There were 44 egg tarts left after the party. How many guests were absent?
Answer: 16 guests
144-44=100. 144/36=4 tarts a guests. +1=5 tarts a guests. 100/5=20.
16 guests were absent to the party.
Given that Peter ordered 12 boxes of egg tarts.
Each box contains 12 tarts, so initially, there were a total of 12 * 12 = 144 tarts.
There were 36 guests invited for the party.
Each guest was supposed to receive an equal share, which would be 144 tarts / 36 guests = 4 tarts per guest.
There were 44 egg tarts left after the party.
The guests who attended ate one more egg tart than originally planned.
So, for the guests who attended, they ate 4 + 1 = 5 tarts each.
To determine the number of guests who attended, we can divide the total number of tarts eaten by the number of tarts per guest:
Total tarts eaten = 144 tarts - 44 tarts
= 100 tarts
Number of guests who attended = 100 tarts / 5 tarts per guest = 20 guests.
Since there were originally 36 guests invited, and 20 guests attended, the number of guests who were absent would be 36 guests - 20 guests = 16 guests.
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HELP!!!!!! . GIVEN THE INFORMATION BELOW, Fino AC
B B BETWEEN A AND C
• AC=2x +8
• AB=48-16
BC=32-6
Answer:the answer is B
Step-by-step explanation:
Provide the missing reasons for the proof.
Given: C E
Prove: ABC - DBE
Please help and explain thurally in explanation t
what is equal to -10> ?
Answer:
It's answer is - 9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4......
Solve each problem below by writing an equation that matches the situation. Then solbe your equation to find the solution to the problem. (It's been almost a day and these two questions baffled me.) isnumber 7
ANSWER:
3.5 slices
STEP-BY-STEP EXPLANATION:
Let x be the number of slices the runner up ate.
Davonne ate four more than twice the amount of the runner up, for a total of 11 slices.
So the equation that we can plan is the following :.
\(4+2x=11\)We solve for x:
\(\begin{gathered} 2x=11-4 \\ x=\frac{7}{2} \\ x=3.5 \end{gathered}\)So the runner up ate 3 and a half slices