Answer:
yes
Step-by-step explanation:
i think if it's wrong pls don't hate me
A rectangular prism has length 2 ft, height 7 ft, and width 4 ft.
What is the volume of the rectangular prism?
Answer:
pos no c se suma te amo
Step-by-step explanation:
gracias <3
Solve for x.
8/9(54x - 36) +2=-3/4(-40+ 16x) + 90x
Enter your answer in the box.
X=
Step-by-step explanation:
8/9(54x - 36) +2=-3/4(-40+ 16x) + 90x
or,432x-288+18/2 =120-48x+360x/4
or,4(42x-288+18)=2(120-48x+360x)
or,168x-1080=240-624x
or,162x+624x=1080+240
or,792x=1320
or,X=1320/792
or,X=5/3
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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Which of the following is a factor of 24x^6 - 1029y^3?
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
Factors of Polynomials:When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.
When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.
Here we have
24x⁶ - 1029y³
Take 3 as common
=> 3(8x⁶ - 343y³)
As we know 8 = 2³ and 343 = 7³
=> 3[(2x²)³ - (7y)³]
From the algebraic identities
a³-b³ = (a-b)(a²+ab+b²)Take a = 2x² , b = 7y and apply above formula
=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]
=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]
Therefore,
(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)
Therefore,
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
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For the arithmetic sequence beginning with the terms {-1, 2, 5, 8, 11, 14...}, what is the sum of the first 16 terms?
Answer:
S₁₆ = 344
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then
S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]
= 8 (- 2 + 45)
= 8 × 43
= 344
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An item priced at $150 has a fee of $9. Use ratios to prove the restocking fee is based on a proportional relationship. Explain your answer.
Answer:
Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.
Step-by-step explanation:
For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.
For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.
Now we find out if the ratios 12/200 and 9/150 are equal.
12/200 = 3/50
9/150 = 3/50
Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.
how many miles are in 31,680 feet
Answer:6 Miles are in 31680 feet
Step-by-step explanation:
5280 feet in a mile.
5280x6=31680
what is the best order of steps to use when drawing a simple random sample from a population?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
simple random sample from a population
Step 02:
best order of steps:
First step:
make a list
Second step:
assign a sequential number
Third step:
choose sample size
Fourth step:
use a random number generator
That is the full solution. That is the full solution.
Can someone please help me with the problem below
The perimeter and area of the original square are 4s and s², respectively, and the perimeter and area of the dilated square are 192 and 2304, respectively.
What is area of square ?
Area of square can be defined as the square of given side.
Given ,
Let's assume that the side length of the original square is 's'. The perimeter of the original square is then 4s and its area is s².
The perimeter of the dilated square will be 4 times longer than the original square, so it will be 4 * 4s = 16s.
The area of the dilated square will be 4 times greater than the original square, so it will be 4^2 * s² = 16s².
Here s is 12
so ,
16s = 16 * 12 = 192
16s*s = 16 * 12 * 12 = 2304
Therefore, The perimeter and area of the original square are 4s and s², respectively, and the perimeter and area of the dilated square are 192 and 2304, respectively.
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what number represented by the expanded form shown? Write the number in the place value thirty-six and fourteen hundreds
The number in expanded form can be written as 1000+400+30+6.Place value of 36 is Tens and place value of 1400 is thousand.
In Mathematics, What does "Place value" refers to?The position or placement of a digit within a number impacts its value, according to the mathematical notion of place value. It is a number-representation system in which the value of each digit is determined by its location in the number.
How to find expanded form of a number?The expanded form of the number can be found by multiplying its Face value with place value.
Let's consider the number 2603. In this number:
3 is in the "ones" place, so its place value is 3.
0 is in the "tens" place, so its place value is 0 multiplied by 10, which is 00.
6 is in the "hundreds" place, so its place value is 6 multiplied by 100, which is 600.
2 is in the "thousands" place, so its place value is 2 multiplied by 1000, which is 2000.
Place value can be detertermined by using, Place value chart as given below,
Th H T O
1 4 3 6
Hence, For given number, the expanded form will be,
\(1*1000+4*100+3*10+6 = 1000+400+30+6\)
Number in place value 36 will be
T O
3 6
i.e (3 x 10+6). Place value of 36 is tens
and 1400 will be
Th H T O
1 4 0 0
i.e (1x1000+4x100). Place value of 1400 is thousand.
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Hannah jumped from the side of the pool and Dove under the water 4 ft from the pool side. She came out of the water 12 ft away from the poolside. Her path under the water was in the shape of a parabola. If the X intercepts are the points where she entered and exited the water, finally access of the Symmetry by looking at the graph of the x-intercepts. How far from where she entered the water was Hannah when she reached her lowest point in the pool? What is the axis of symmetry? What is the distance?
The distance from where she entered the water to when she reached her lowest point in the pool is 16 ft
The axis of symmetry is x = 8 ft
How to find the Vertex of a Parabola?We are told that she jumped from the side of the pool and the point at which she made contact with the water to dive under was a distance of 4 ft horizontal from the pool side. Secondly, the point at which she came out of the pool was 12 ft from the pool side.
Thus, since the points where she came out and where she dove into the pool are the x-intercepts, then it means that the factors of the parabola formed are; (x - 4) and (x - 12)
Thus, the quadratic equation formed by the parabola is;
y = (x - 4) * (x - 12)
y = x² - 16x + 48
Now, the coordinates for the vertex will be (h, k).
h = -b/2a
h = -(-16)/(2 * 1)
h = 8
k = 8² - 16(8) + 48
k = -16
Thus, the distance from where she entered the water to when she reached her lowest point in the pool is 16 ft
The axis of symmetry is x = 8 ft
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What rule describes the rotation about the origin? (x, y) → How many degrees was the figure rotated about the origin?
Answer:
-x,-y
180
Step-by-step explanation:
ED 2020
The required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The coordinate of the given point is (1, 1), and after rotation coordinates are (-1, -1) about the origin. It shifted from 1st quadrat to the 3rd quadrant. It implies,
The point rotated with an angle of 180° so that its coordinates were translated by formula,
(x, y) ⇒ (-x, -y).
Thus, the required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.
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The perimeter of the TCL 3-Series Roku Smart TV is 112 inches. The width of the TV is 16 inches greater than its height. Find the width and the height of the TV.
Answer: Height = 20 inches, Width = 36 inches
Step-by-step explanation:
Let the height be \(h\) and the width be \(h+16\).
Using the formula for the perimeter of a triangle,
\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)
24°
Solve for c.
= [?]°
C =
60% C
Enter
Answer:
96°
Step-by-step explanation:
You want the value of angle C in the diagram with two parallel lines and a triangle between them.
Angle sum theoremThe sum of angles in a triangle is 180°, so the missing angle in the triangle is ...
180° -60° -24° = 96°
Alternate interior anglesAngle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:
C = 96°
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This diagram shows the blue prints a contractor drew for a ramp. In order for the ramp to meet safety regulations, the angle created by the bottom of the ramp and the ground should be no more than 18°.
How many degrees should the contractor lower the ramp by in order to meet safety regulations?
Enter your answer, rounded to the nearest tenth, in the box.
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
We have,
To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.
In the given triangle, the height is 6 ft and the base is 16 ft.
The angle we want to find is opposite the height (let's call it θ).
The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.
sin(θ) = opposite/hypotenuse
sin(θ) = 6/16
sin(θ) = 0.375
To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:
θ = arcsin(0.375)
θ ≈ 22.62°
To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:
22.62° - 18° ≈ 4.62°
Thus,
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
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PLSSS HELP NEED THIS ASAP
Answer:
Step-by-step explanation:
\(\frac{e^2\times e^3}{e^6}=\frac{e^{2+3}}{e^6}\)
\(=\frac{e^5}{e^6}\)
\(=e^{5-6}\)
\(=e^{-1}\)
Solution: (C)
PLEASEEEE HELP ME RIGHT NOW
What is the area of a square patio that measures 11 m on each side?
m2
Answer:
121 m2
Step-by-step explanation:
11m*11m = 121m2
Q2) The number of people signed up for a bus trip increased from 32 to
45. What is the percent increase?
Answer:
45-32 = 13 / 32 *100= 40.625 round to the nearest percent is 41%
Step-by-step explanation: Brainlest plzzz
Tamara has $42.00 to buy party decorations. She wants to buy 3 packs of party hats, 2 bags of balloons, and a banner
Answer:
Step-by-step explanation:
Add everything together then you get 22.02 and she could buy everything but you gotta figure out the other part b bc I’m stuck on it
Question 3
A group of 5 people went to the movies and spent $44 on food and drink. The total amount spent, including
tickets, was $98.50.
What was the price, in dollars, of one ticket?
Answer:
One ticket cost $10.90.
Step-by-step explanation:
The total spent was $98.50--food, drinks, admission--everything.
$44.00 was for food and drinks.
We can take the 44 away from the total.
98.50 - 44.00
= 54.50
They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.
54.50 ÷ 5 = 10.90
The price of one ticket was $10.90
To make this look like algebra class...
let x = the price of one ticket
5x = the price of 5 tickets
5x + 44 = 98.50
subtract 44
5x = 54.50
divide by 5
x = 10.90
Which equation is not a linear function? Question 2 options: A) y = –3x – 7 B) 2x + 4y – 12 = 0 C) 6x + 4y = 8 D) 2x2 – 3y = 9
Answer:
A libear equation has no x^2. Therefore it would be D since it does have an x^2
Answer:
The answer is A
Y= -3x - 7
Samuel cut a cone from a piece of wood shaped as a cylinder. He measured the circumference of the base of the cylinder and found that it measured 3πinches. The height of the cylindrical piece of wood was 6 inches. What is the approximate volume of Samuel's cone if it has the same base area and height as the cylinder?
Answer:
The approximate volume of the cone is 14 cube inches.
Step-by-step explanation:
Circumference of the base of the cylinder = 3π inches
Height of the cylindrical piece of wood = 6 inches
volume of a cone = \(\frac{1}{3}\)\(\pi\)\(r^{2}\)h
But,
circumference = 2πr
3π = 2πr
r = \(\frac{3}{2}\)
= 1.5 inches
Radius of the base of the cylinder is 1.5 inches.
So that;
volume of cone = \(\frac{1}{3}\) x \(\frac{22}{7}\) x \((\frac{3}{2}) ^{2}\) x 6
= \(\frac{1}{3}\) x \(\frac{22}{7}\) x \(\frac{9}{4}\) x 6
= 14.143
volume of cone = 14.143 cube inches
The approximate volume of the cone is 14 cube inches.
Maria needs to be at the airport terminal at 15:20. It will take 2 hours to
drive to the airport from her home, and a further 30 minutes to park and get
to the terminal.
What is the latest time she should leave home?
Give
your answer as a time in the 24-hour clock.
Answer:
12:50
Step-by-step explanation:
15:20 - 2h= 13:20
13:20-30 min= 12:50
Answer:
12:50
Step-by-step explanation:
If it takes 2 hours to get there, you subtract 2 hours from 15:20 which gives you 13:20. It also says that she needs 30 minutes to park so you subtract that from 13:20 giving you 12:50
a. Find parametric equations and symmetric equations for the line passing through the points (-2, 4, 3) and (1, 2, 7).
b. At what point does this line intersect the yz-plane?
a) The parametric equations of the line are: x(t) = −2 + 3t, y(t) = 4 − 2t, z(t) = 3 + 4t and The symmetric equation of the line are: (x + 2)/3 = (y − 4)/−2 = (z − 3)/4
b) The line intersects yz-plane at (0, 8/3, 17/3)
The given points on the line are:
(x₁, y₁, z₁) = (−2, 4, 3)
(x₂, y₂, z₂) = (1, 2, 7)
The direction ratios of this line are:
⟨a, b, c⟩ = ⟨x₂ − x₁, y₂ − y₁, z₂ − z₁⟩
= ⟨1 + 2, 2 − 4, 7 − 3⟩
= ⟨3, −2, 4⟩
a) Parametric equations of the line:
These are given by:
x(t) = x₁ + at = −2 + 3t
y(t) = y₁ + bt = 4 − 2t
z(t) = z₁ + ct = 3 + 4t
Symmetric equation of the line:
This is given by:
(x − x₁)/a = (y − y₁)/b = (z − z₁)/c
(x + 2)/3 = (y − 4)/−2 = (z − 3)/4
b) When a line intersects the yz-plane, its x-coordinate is zero.
Using the parametric equations of the part (a):
x = 0
−2 + 3t = 0
3t = 2
t = 2/3
Substitute this in the parametric equations corresponding to y and z as well:
y = 4 −2t
= 4 − 2(2/3)
= 8/3
z = 3 + 4t
= 3 + 4(2/3)
= 17/3
Hence, the required point is: (x, y, z) = (0, 8/3, 17/3)
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a)
b)
1. Convert the following Mayan numbers to
decimal (base 10).
: :|| :||
The given Mayan number which is : :|| :|| in decimal (base 10) is 42.
The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).
To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.
The Mayan number given, : :|| :||, can be broken down as follows:
The leftmost position has no symbol, which represents a value of 0.
The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.
The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.
The given Mayan number in decimal (base 10) is 40 + 2 = 42.
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Complete question is:
Convert the following Mayan number to decimal (base 10).
: :|| :||
Which of these is NOT a part of a formal proof?
Select one:
O a.statements
O b. given
O c. reasons
O d. diagram
O e. none of these
The option that is not a part of a formal proof is E. none of these
What is a formal proof?A formal proof or derivation can be described as a finite sequence of sentences, having an axiom, an assumption, or leads the way from the preceding sentences in the sequence by a rule of inference.
It demonstrates the logical necessity of a given conclusion.
The different parts of a formal proof includes;
StatementDrawingGivenProveProofHence, the correct option is E
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Let A be a 7×5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental sub- spaces associated with A are R(A), N(AT ), R(AT ), and N (A).
The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.
Given that
Dimension of matrix = 7×5
Rank of matrix = 4
The range space of A,
Which is a subspace of R, is known as R(A).
It is made up of all conceivable linear combinations of A's columns.
The dimension of R(A) = rank of A,
Which is 4 in this case.
The null space of the transpose of A,
Which is also a subspace of R, is designated as N(AT).
All potential answers to the equation ATx = 0,
Where x is a R column vector, are included in it.
N(AT) has a dimension = nullity of A,
which in this case is 3 in this example.
The range space of the transposition of A, is designated as R(AT).
The rows of A are arranged in all conceivable linear configurations.
The rank of A = 4
Thus it equal to dimension of R(AT).
N(A) is the null space of A.
Axe = 0, where x is a column vector in R, are included in it.
The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).
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what is the slope of (
6
,
−
6
and (
−
18
,
3
)
Answer:
The slope is -3/8
Step-by-step explanation:
(6,−6);(−18,3)
(x1,y1)=(6,−6)
(x2,y2)=(−18,3)
Use the slope formula:
m= y2−y1 /x2−x1
3−−6 /−18−6
9 /−24
−3 /8
A biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road. How much more does he need to travel? (distance)
The biker needs to travel 45 km more to complete his journey.
Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,
Let the total distance of the road be x,
So,
2x/5 - 5 = 3x/8
2x/5 - 3x/8 = 5
Solving for x,
Multiply by 40 to both sides,
16x-15x = 200
x = 200
Therefore, the total distance of the road is 200 km.
Since, he travelled =
200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km
Therefore, he needs to travel 200-155 = 45 km more.
Hence, the biker needs to travel 45 km more to complete his journey.
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