Answer:
1.6
Step-by-step explanation:
7 and three tenths = 7 + 3/10 = 7.3
5 and seven tenths = 5 + 7/10 = 5.7
7.3-5.7 = 1.6 or can be written as 1 and six tenths, or 1 and three fifths.
The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular roller coaster by the radical function v equals the square root of the quantity 2 times k over the 1,000 period If the velocity, v, of the roller coaster is 10 meters per second, what is the kinetic energy?
200,000 Joules
10,000 Joules
50,000 Joules
5,000 Joules
The kinetic energy of the roller coaster is 2000Joules
Given the formula for expressing the velocity of the roller coaster is given as:
\(v = \sqrt{\frac{2k}{1000} }\)
Given the following parameter:
v = 10m/s
Substitute the given parameter into the formula to have:
\(10 = \sqrt{\frac{2k}{1000} }\)
Square both sides of the equation:
\((10)^2=(\frac{2k}{1000} )^2\\100=\frac{4k^2}{1,000,000} \\4k^2=100,000.000\\k^2=\frac{100,000,000}{4} \\k^2=4,000,000\\k=2000Joules\)
Hence the kinetic energy of the roller coaster is 2000Joules
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Answer:
You need to use √2k/1000 formula.
2000 joule is the correct answer.
How to find derivative of x^5(1- (5/x+8))
Answer:
\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
Step-by-step explanation:
\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.
What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.
$30 per pound
$0.14 per pound
$7 per pound
$14 per pound
Answer:
$7 a pound
Step-by-step explanation
$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7
Can someone help me with this please thank you
The areas of the composite figures are:
Case 1: 21 m²
Case 2: 217.5 m²
Case 3: 42 m²
Case 4: 168 cm²
Case 5: 252 m²
Case 6: 27 in²
Case 7: 39 cm²
Case 8: 44 cm²
Case 9: 558
Case 10: 70
Case 11: 78 cm²
Case 12: 21 ft²
How to determine the areas of composite figures
In this problem we need to determine the areas of triangles, rectangles and composite figures formed by adding triangles and rectangles. The area formulas are introduced below:
Triangle
A = 0.5 · b · h
Rectangle
A = b · h
Where:
b - Baseh - HeightThe areas are now determined below:
Case 1:
A = 0.5 · (7 m) · (6 m)
A = 21 m²
Case 2:
A = (9 m) · (15 m) + 0.5 · (11 m) · (15 m)
A = 217.5 m²
Case 3:
A = 0.5 · (7 m) · (12 m)
A = 42 m²
Case 4:
A = 2 · 0.5 · (6 cm) · (8 cm) + 2 · 0.5 · (15 cm) · (8 cm)
A = 168 cm²
Case 5:
A = 2 · 0.5 · (7 m) · (9 m) + 2 · 0.5 · (21 m) · (9 m)
A = 252 m²
Case 6:
A = (9 in) · (2 in) + (3 in)²
A = 27 in²
Case 7:
A = (9 cm) · (3 cm) + (6 cm) · (2 cm)
A = 39 cm²
Case 8:
A = (4 cm) · (5 cm) + (2 cm) · (3 cm) + (3 cm) · (6 cm)
A = 44 cm²
Case 9:
A = 2 · 0.5 · 10 · 18 + 18 · 21
A = 558
Case 10:
A = 14 · 5
A = 70
Case 11:
A = (12 cm) · (6.5 cm)
A = 78 cm²
Case 12:
A = (3 ft) · (5 ft) + (3 ft) · (2 ft)
A = 21 ft²
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2/5 divided by 5/8 in SIMPLEST form
Answer:
16/25 is it's simplest form.
Answer:
16/25
Step-by-step explanation:
2/5 ÷ 5/8
=2/5 2/8 ÷ 5/2 8/5 is how i do it but makes no sense
or known as 0.64 for the answer so there for its 16/25
Hope this helps ;)
Suppose y varies directly with x. When x is 5, y is 15. What is y when x is 12?
Answer:
y = 36
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition when x = 5 , y = 15
15 = 5k ( divide both sides by 5 )
3 = k
y = 3x ← equation of variation
when x = 12 , then
y = 3 × 12 = 36
Write the phrase as an expression. Six more than three times a number w. An expression for this phase is..?
Answer:
6+3x=w
Step-by-step explanation:
6 *more* more always means +
and then three *times* times always means *
so it would equal 6+3x=w
Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
What is a reasonable estimate of -3 4/5 + (-5.25) and the actual value?
Answer:
The actual value is -181/20. Estimate could be -200/20
Step-by-step explanation:
Solve ABC using diagram and the given measurement A=64 a=7.4
The value of angle ABC is 26°
What is a value ?
Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.
Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.
Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.
to find the ∠ABC
we know ∠CAB = 64° and ∠BCA = 90°
let ∠ABC be x
x + 64 + 90 = 180
x = 180 - 64 - 90
= 26°
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find inverse matrix a = [121,301,021] using adjoint method
The inverse of the given matrix is:
( 0 1/2 -1/2 )
(-3 1 -3 )
( 1 -1 0 )
What is inverse ?
In linear algebra, the inverse of a square matrix A is another matrix A^{-1}, such that when A and A^{-1} are multiplied together, the result is the identity matrix I. In other words, A^{-1} is the "inverse" of A, and multiplying A by its inverse "undoes" the effect of A.
To find the inverse of a matrix A using the adjoint method, we follow these steps:
Find the determinant of A.
Find the adjugate of A.
Multiply the adjugate of A by 1/det(A) to get the inverse of A.
Let's follow these steps to find the inverse of the given matrix:
Step 1: Find the determinant of A.
We can use the cofactor expansion method to find the determinant:
det(A) = 1(0-2) - 2(3-0) + 1(6-0) = -2 - 6 + 6 = -2
So det(A) = -2.
Step 2: Find the adjugate of A.
The adjugate of A is the transpose of the matrix of cofactors of A. To find the matrix of cofactors, we need to compute the cofactor of each element of A. The cofactor of an element aij is (-1)i+j times the determinant of the submatrix obtained by deleting the row and column containing aij.
The matrix of cofactors is:
( 0 -6 2 )
( 2 2 -2 )
(-2 6 0 )
Taking the transpose of this matrix gives us the adjugate of A:
( 0 2 -2 )
(-6 2 6 )
( 2 -2 0 )
Step 3: Multiply the adjugate of A by 1/det(A).
We have det(A) = -2, so:
A^{-1} = adj(A)/det(A) = (1/-2)( 0 2 -2 ) ( 0 -1 1 )
(-6 2 6 ) = (-3 1 -3)
( 2 -2 0 ) ( 1 -1 0 )
Therefore, the inverse of the given matrix is:
( 0 1/2 -1/2 )
(-3 1 -3 )
( 1 -1 0 )
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Joseph Selects a card from a standard deck of 52 cards and then replaces it afterwards he decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick he then constructs a graph to visualize his results
The answer to the given question is Option B.
Probability means possibility. A branch of mathematics that deals with the occurrence of random events. Probability is a measure of the likelihood of an event occurring. Many events cannot be predicted with absolute certainty.We can only predict the probability that an event will occur. H. Possibility of using it. Probabilities can range from 0 to 1. 0 means the event is not possible, 1 indicates the specific event. For example, if you toss a coin, you get either heads or tails. There are only two possible outcomes (H, T). But if you toss two coins in the air, three events can occur, such as ), (T, T). Probability of an event occurring P(E) = number of favorable outcomes/total number of outcomes.At no point can we distinguish between diamonds and hearts, as we are only interested in finding red cards. as a result,
The wrong statement is:
For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.
Therefore, the ultimate answer to the given question is Option B.
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The question is incorrect, The correct question is
Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?
A. The theoretical probability for selecting a red card in each pick is 0.5.
B. For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.
C. This is an example of the law of large numbers.
D. The relative frequency of selecting a red card changes with the increase in number of selections.
WILL MARK BRAINIEST!! 50 POINTS.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x).
Part B: Solve for k in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).
Answer:
Part A: The two types of types of transformation are
1) Rotation of 11.3° about (1, 2)
2) By algebraic transformation
Part B:
Rotation by 11.3° and T(2 - y)×1/2 + x, 0)
Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)
Step-by-step explanation:
The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)
The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)
The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;
The slope, m = (13 - 3)/(3 - 1) = 5
The equation in point and slope form is y - 3 = 5×(x -1)
y = 5·x - 5 + 3 = 5·x - 3
y = 5·x - 3
The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;
The slope, m = (13 - 3)/(1 - 1) = ∞
∴ The equation in point and slope form is x = 1
Therefore, the two equations meet at the point (1, 2)
The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)
2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows
Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°
Rotation of f(x) by 11.3° about (1, 2) gives g(x)
Hope this helped!
Determine if it is Exponential growth.
Use the information below to plug in the numbers to the formula. f(x)=a(1+or-r)^x
The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,000
decay rate: 20%
f(x) = 500
The value of x that corresponds to f(x) = 500 lies between 0 and 1. The whole numbers between 0 and 1 are 0 and 1, so the answer whole numbers are 0 and 1.
Describe Exponential Growth?Exponential growth is a mathematical concept that describes a process where a quantity grows at an increasing rate proportional to its current value. In other words, the larger the quantity, the faster it grows. This leads to a graph that is characterized by a rapid upward curve that becomes steeper and steeper over time.
Exponential growth is often represented by the equation y = abˣ, where y is the final amount, a is the initial amount, b is the growth factor or base, and x is the time or number of periods.
The function f(x) = a(1 - r)ˣ represents exponential decay, where "a" is the initial value, "r" is the decay rate as a decimal, and "x" is the time variable.
In this case, the initial value is 1,000, and the decay rate is 20%, or 0.20 as a decimal. Therefore, the equation for the function becomes:
f(x) = 1,000(1 - 0.20)ˣ = 800ˣ
To find the whole numbers that correspond to a value of f(x) = 500, we can set the equation equal to 500 and solve for x:
500 = 800ˣ
Taking the natural logarithm of both sides, we have:
ln(500) = ln(800ˣ)
Using the property of logarithms, we can bring down the exponent:
ln(500) = x ln(800)
Solving for x, we divide both sides by ln(800):
x = ln(500) / ln(800) ≈ 0.717
Therefore, the value of x that corresponds to f(x) = 500 lies between 0 and 1. The whole numbers between 0 and 1 are 0 and 1, so the answer is:
The whole numbers are 0 and 1.
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Which of the following arrangement of the numbers 75, 4, 3,100 forms a proportion?
a) 100, 3,75,4 b) 3,4,75,100 c) 3,100,4,75 d) 3,75,100,4
PLEASE HELP ...
Answer:
b) 3,4,75,100
Step-by-step explanation:
Since in the question it is mentioned that
75,4,3,100
So here the arrangement that creates a proportion is
3,4,75,100
Therefore the option b is correct
is 6.1221211... rational or irrational
Answer:
it's an irrational number because it's non terminating non recurring
a continuous function is differentiable.true or false?
Answer:
false
Step-by-step explanation:
its equal every time because its countinuous
I'm on a team of 9 people and we told our
teacher that together we could eat 36 Cloud
cupcakes. So I'd like to buy my fair share of that
36.
The number of Cloud cupcakes that each person will be 4.
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.
I'm on a team of 9 people and we told our teacher that together we could eat 36 Cloud cupcakes.
The number of Cloud cupcakes that each person will be given as,
⇒ 36 / 9
⇒ 4
The number of Cloud cupcakes that each person will be 4.
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50 points! Due in 20 minutes! So hurry ! no random answers please. Will mark brainliest:)
A line is perpendicular to y=2/3x +2/3 and intersects the point (-2,4). what is the equation of this perpendicular line?
hope it helps..................
Evaluate this expression when p = 4 and q = -2:
4(√p+q²)
A. 4
B. -8
C. 12
D. 24
Answer:
24
Step-by-step explanation:
URGENT PLEASE HELP!!!
Use the figure to find the measures.
Area =
Answer:
24√3
Step-by-step explanation:
the area = 6× (½×4×2√3)
= 6× (4√3)
= 24√3
Answer:
24 sqrt 3
give other person brainliest! :P
Michelle has 4 1/5 feet of yarn. She cuts the yarn into pieces that each measure 3/5 foot long. How many pieces of yarn did Michelle cut?
Answer: 7
Step-by-step explanation:
yarn = 4 1/5 = 21/5
measure of one piece = 3/5
no. of pieces of yarn = 21/5÷3/5
= 21/5×5/3
= 105/15 = 7
So the number of pieces of yarn cut will be 7
Answer:
7
Step-by-step explanation:
4.2' yarn
cut into 0.6' pieces
4.2/0.6 =7
Simplify your answer as much as possible.
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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on a coordinate plane, three of the four verticles are located at the points (0,0), (5,5) and (6,2). what is the area, in square units, of the rectangle?
A.20
B.
\(10 \sqrt{5} \)
C.32
D.
\(20 \sqrt{5} \)
Answer: o believe the answer is D hope it helps
Step-by-step explanation:
Which property is illustrated by the following statement? A. Reflexive B. Commutative C. Transitive D. Symmetric
Answer:
D. Symmetric
Step-by-step explanation:
The symmetric property of congruence says, for objects A and B, ...
if A ≅ B, then B ≅ A.
__
The symmetric property of congruence makes your statement true:
if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA
__
Additional comment
The other answer choices involve other properties:
Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA
Commutative -- certain operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)
Transitive -- if A ≅ B and B ≅ C, then A ≅ C.
The property which is illustrated by the given statement is Symmetric property.
What is Reflexive property?Reflexive property states that for any number, c, the number is equal to itself.
Or in case of expressions, a + b = a + b.
Symmetric property states that, for any numbers m and n,
If m = n then n = m.
Transitive property states that, for any numbers m, n and o,
If m = n and n = o, then m = o.
Commutative property is for operation of numbers.
a + b = b + c
Given statement is If, ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA.
This is symmetric statement.
Hence the correct option is D.
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help word count word count word count
The two angles are supplementary, so their measures add to 180º. Use this to solve for x :
(3x + 20) + x = 180
4x + 20 = 180
4x = 160
x = 40
Then the larger angle has measure
(3(40) + 20)º = (120 + 20)º = 140º
Flip a half a day league table in her kitchen, the lacewings from one corner of the table to the middle of the far side of the table. How long is the gateleg table?
The length of gateleg of the table whose leg swings from one corner of the table to the middle of the far side of the table top is 53 inches long.
The shape forms a trapezoid
The length of the parallel side = is 56 in
The length of the base = is 45 in
To the length of the triangle formed when the base of the gateleg is connected with the middle of the table
The length of the side when connected with the midpoint = 56/2 = 28
The length of gateleg = hypotenuse
Using Pythagorean theorem :
(hypotenuse)² = (base)² + (perpendicular)²
(hypotenuse)² = (45)² + (28)²
(hypotenuse)² = 2025 + 784
(hypotenuse)² = 2809
hypotenuse = 53
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The question is incomplete the complete question is :
Philippa has a gateleg table in her kitchen. The leg swings from one corner of the table to the middle of the far side of the tabletop, as shown in the sketch below.
Note: The figure is not drawn to scale.
How long is the gateleg of the table?
A.) 53 inches
B.) 49 inches
C.) 73 inches
D.) 72 inches
On a piece of paper, graph f(x) = (4x≤3. Then determine which answer
12 if x > 3
choice matches the graph you drew.
The graph of the piecewise function is the one in option D-
Which one is the graph of f(x)?First, we know that:
f(x) = 4 when x ≤ 3
So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).
From the given graphs, the only one with that form is D.
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Find the volume of cone pictured below. Use 3.14 for /pi Round your answer to the nearest hundredth.
Answer:
134.04
hope this helps
have a good day :)
Step-by-step explanation: