The solution is, 53.5 sec was her time, in seconds, for the third lap.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Given
Number of times Lucia ran the race=n=3
Slowest time= x_1=56.3 sec
Fastest Time= x_2=52.2 sec
Average time=54.0 sec
Since, we know the average time and two of the three race times, we can use the average formula to calculate the third race’s time.
Let
x_3=the third race^' s time
So,
Average=(Sum of values)/(Number of values)
Average = (x_1+ x_2+ x_3)/n
Putting the values
54.0= (56.3+ 52.2+ x_3)/3
Multiplying 3 with 54.0 and adding 56.3 and 52.2
162= 56.3+52.2+ x_3
162= 108.5+ x_3
x_(3 )=162-108.5
x_(3 )=53.5 sec
Hence, The solution is, 53.5 sec was her time, in seconds, for the third lap.
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Helpppppppp please i would like to have some help so i don't have to do it later
Answer:
Math ba yan? Wala ba diyan example kung pano i solvee yan?
Step-by-step explanation:
11 cm
assuming all sides angles are right angles, opposing sides are equal in length or total length.
top bottom.
x = 5 +6 = 11
x = 11 cm
The diagram shows the floor plan of Jill's dining room.
Jill is going to cover the floor with wooden floorboards.
1.5m
Diagram NOT
accurately drown
The floorboards are sold in packs. One pack of floorboards will cover 2.25 m²
Work out how many packs Jill needs.
You must show all your working.
The number of pack Jill needs is 7.
How to find the number of packs Jill needs?The diagram shows the floor plan of Jill's dining room. Jill is going to cover the floor with wooden floorboards. The floorboards are sold in packs. One pack of floorboards will cover 2.25 m². Therefore, the number of packs Jill needs can be calculated as follows;
Therefore, let's find the area of the floor.
area of the floor = area of the first rectangle + area of the second rectangle
area of the first rectangle = 3 × 2
area of the first rectangle = 6 m²
area of the second rectangle = 4.5 × 2
area of the second rectangle = 9 m²
area of the floor = 15 m²
Therefore,
2.25 m² = 1 pack
15 m² = ?
cross multiply
number of pack = 15 / 2.25
number of pack = 6.66666666667
Therefore,
number of pack ≈ 7
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what type of statistical learning do all data examples in problem 1 correspond to - supervised or unsupervised?
It is possible to design any statistical learning problem to minimize predicted loss. All data examples in problem 1 correspond to supervised learning.
What is supervised learning?
The use of labelled datasets distinguishes the machine learning strategy known as supervised learning. These datasets are intended to "supervise" or "train" algorithms to correctly classify data or forecast outcomes. Labeled inputs and outputs allow the model to monitor its precision and improve over time.
When using data mining, supervised learning may be divided into two categories: classification and regression.
Using an algorithm, classification issues correctly categories test data into distinct groups, such as distinguishing apples from oranges.
Another supervised learning technique that employs an algorithm to comprehend the link between dependent and independent variables is regression.
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Correct question:
What type of statistical learning do all data examples supervised or unsupervised?
what is s(t)=0.65(0.48)^t's percent rate of change.
The percent rate of change of s(t) is approximately -26.15%. This means that the function is decreasing at a rate of about 26.15% per unit of time.
The function s(t) = 0.65[tex](0.48)^t[/tex]represents a decreasing exponential function, where t is time and s(t) is the value of the function at time t.
To find the percent rate of change of s(t) at any given time t, we can use the formula:
percent rate of change = [(new value - old value)/old value] x 100%
In this case, the "old value" is s(t) and the "new value" is s(t+1), or the value of the function one unit of time later.
So, the percent rate of change of s(t) is:
percent rate of change = [(s(t+1) - s(t))/s(t)] x 100%
We can substitute the given function into this formula:
percent rate of change = [(0.65[tex](0.48)^(t+1)[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex]x 100%
Simplifying, we get:
percent rate of change = [(0.48(0.65)[tex](0.48)^t[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex] x 100%
percent rate of change = [-0.17/0.65] x 100%
percent rate of change = -26.15%
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Element X is a radioactive isotope such that its mass decreases by 8% every year. If an experiment starts out with 600 grams of Element X, write a function to represent the mass of the sample after t years, where the monthly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per month, to the nearest hundredth of a percent.
On solving the provided question we cans ay that the half life of the given exponential growth radioactive isotope will be 3.2894067399 years.
What is exponential growth?The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth. Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially. The exponential function has the formula f(x)=abx where a and b are positive real values. Sketch exponential functions using the app below for different values of a and b. Describe verbally how modifying a and b changes the graph's form.
Here, Element X starts with 490 grams
After 1 year we have (490 X 0.81 grams) or 396.9 grams
Now, We can solve for half-life by this equation:
Half life = (time X log 2) / log (beginning amount / ending amount)
Half-life = (1 year X 0.30102999566) / log (490 / 396.9)
Half life = (1 year X 0.30102999566) / log (1.2345679012 )
Half life = (0.30102999566) / 0.091514981109
Half-Life = 3.2894067399 years
Thus, the half life of the given exponential growth radioactive isotope will be 3.2894067399 years.
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Suppose you know that ∠S and ∠Y are complementary and that m∠S = 3(m∠Y) − 70°. Find m∠Y. (help pls)
The measure of angle m∠Y as required to be determined given that the two angles S and Y are complementary is; 40°.
What is the measure of angle Y?As evident in the task content; ∠S and ∠Y are complementary.
Therefore; m∠S + m∠Y = 90°.
Also, since; m∠S = 3(m∠Y) − 70°.
By substitution;
3(m∠Y) − 70° + m∠Y = 90°
4m∠Y = 160°
m∠Y = 40°.
Ultimately, the measure of angle Y as required is; m∠Y = 40°.
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Convert to the unit in brackets 1497 ml
(cm³)
After conversion, 1497 milliliters (ml) is equal to 1497 cubic centimeters (cm³) because 1 milliliter (ml) is equal to 1 cubic centimeter (cm³).
The units of volume, such as milliliters (ml) and cubic centimeters (cm³), measure the amount of space occupied by a substance. A milliliter (ml) is a unit of volume that is commonly used to measure small quantities of liquids. A cubic centimeter (cm³) is a unit of volume that is used to measure the volume of solid objects or substances.
One milliliter (ml) is equal to one cubic centimeter (cm³). This means that one milliliter of a substance takes up the same amount of space as one cubic centimeter of the same substance.
So, to convert 1497 milliliters (ml) to cubic centimeters (cm³), we simply use the conversion factor of 1 ml = 1 cm³:
1497 ml = 1497 * 1 cm³ = 1497 cm³
Therefore, 1497 milliliters (ml) is equal to 1497 cubic centimeters (cm³).
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find the quotient. simplify your answer. 3b/4 divided by -c/6
The quotient of 3b/4 divided by -c/6 is -9b/2c
What are algebraic expressions?Algebraic expressions are simply defined as those expressions that are made up of coefficients, variables, constants, terms and factors.
They are also seen as expressions that are composed of mathematical or arithmetic operations, such as;
SubtractionAdditionMultiplicationDivisionParenthesesBracketFloor divisionFrom the information given, we have that;
3b/4 divided by -c/6
This is represented as;
3b/4 ÷ -c/6
Take the inverse of the divisor and multiply
3b/4 × 6/-c
18b/-4c
Divide the values
-9b/2c
Hence, the value is -9b/2c
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Rebecca, Meg, and Kristin drive together for their home to visit their grandparents. Kristen drives 65 miles. Rebecca drives two times as far as Kristin. Then Meg drives twice as far as Kristin and Rebecca combined, which gets them to their grandparents house. How far did Meg drive?
Meg has drive 390 miles to visit Grandma.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are Given Number of miles Kristen drive = 65 miles
Rebecca drives two times as far as Kristin. Then Meg drives twice as far as Kristin and Rebecca combined
This means Number of miles Meg drive is equal to twice the number of miles driven Kristin .
Then equation we get;
Number of miles Meg drive = 2 × Number of miles Kristin drive =
Number of Miles Driven by Rebecca is equal to twice the sum of Number of miles Kristin drive and Number of miles Meg drive.
Then equation we get;
Number of miles Meg drive = 2 × (Number of miles Susie drive + Number of miles Meg drive) =
Hence Meg has drive 390 miles to visit Grandma.
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To get the echo of a positive integer, we write it twice in a row without a space. For example,
the echo of 2023 is 20232023. Is there a positive integer whose echo is a perfect square? If
so, how many such positive integers can you find? If not, explain why not.
Answer: Yes, but it's extremely hard to find
Step-by-step explanation:
The echo number 20222022202220222022 is the perfect square of 4496890281.
What echo number is a perfect square
An echo number has a perfect square if its square root is also a natural number. After some iterations we found that echo number 20222022202220222022 is a perfect square:
The echo number 20222022202220222022 is the perfect square of 4496890281.
how many ways are there to arrange 7 elves and 5 goblins in a row in such a way that no goblins stand next to each other
There are 11,838,890 ways to arrange 7 elves and 5 goblins in a row without any goblins standing next to each other.
This can be calculated using the formula for combinations, n!/(r!(n-r)!), where n is the total number of elves and goblins (12) and r is the number of goblins (5). The calculation is written as 12!/(5!(12-5)!) = 11,838,890.
To illustrate, one possible arrangement is EE EG EEG EEG EGEE EG. Here, E stands for elf and G stands for a goblin. The arrangement starts with two elves, followed by an elf and a goblin, followed by three elves, followed by an elf and a goblin, followed by two elves, and finally ending with an elf.
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Work out the percentage change when a price of £50 is decreased to £40.
pls give simple working out :)
Answer: They took away 5%
Step-by-step explanation:
If you get 50 and the you have 40 you get 5%
given that the augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations. determine whether the system has a solution and find the solution(s) to the system, if they exist.
We have solution as:
z =z and y -8-z
The solution set is
x=9, y = -8-z, w = 1, z = z
Matrix:Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements. A matrix is a rectangular arrangement of numbers into rows and columns. For example, matrix A has two rows and three columns.
The augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations.
[ 1 0 0 0 | -9 ]
[ 0 1 1 0 | -8 ]
[ 0 0 0 1 | 1 ]
We find that this is a rectangular matrix 3 rows and 4 columns
i.e. the variables are four but independent equations are only 3.
So only parametric equations can be found out
First row gives x = -9
Last row gives w = 1
II row gives y + z =-8 and we do not have any other equation in y or z
Hence we have solution as:
z =z and y -8-z
The solution set is
x=9, y =-8-z, w =1, z=z
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The given question is incomplete, complete question is :
Given that the augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations. Determine whether the system has a solution and find the solution(s) to the system, if they exist.
[ 1 0 0 0 | -9 ]
[ 0 1 1 0 | -8 ]
[ 0 0 0 1 | 1 ]
A) x=-9, y=-8, z=-8, w=1
B) No solution.
C) x=-9, y=-8, z=1
D) x=-9, y=-8+z, w=1, z=any real number
E) z=-9, y=-8-z, w=1, z=any real number
F) None of the above.
I WILL GIVE BRAINLEST
The value of the angle 4 is 96 degrees as shown in the diagram.
Application of line geometryA line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.
From the given diagram, the measure of angle 1 and 3 are equal as well as 2 and 4.
Given the following angles
m<3 = 84 degrees
Since the measure of <3 and <4 lies on the same straight line, hence:
m<3 + m<4 = 180
84 + m<4 = 180
m<4 = 180 - 84
m<4 = 96 degrees
Hence the measure of angle 4 from the figure is 96 degrees
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in the given figure ab cd and p q. find the measure of x y and z
The measures of x, y and z are 40⁰, 90⁰ and 50⁰
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We know that co-interior angles are supplementary.
∠APQ+∠CPQ=180⁰
x+∠CPQ=180⁰
x+140⁰=180⁰
x=40⁰
∠BPR+∠PRD=180⁰
z+130⁰=180⁰
z=50⁰
Now, angles x, y and z form a line, hence they sum up to 180∘.
x+y+z=180⁰
40⁰+y+50⁰=180⁰
y=90⁰
Hence, the measures of x, y and z are 40⁰, 90⁰ and 50⁰
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The question is not complete, similar kind of question is given below.
In the given figure, AB || CD. Find the measure of x, y and z.
Matthew signed up for a streaming music service that costs $14 per moilth. The service allows Matthew to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1.50 per song. How much total money would Matthew have to pay in a month in which he downloaded 15 songs? How much would he have to pay if he downloaded s songs?
Answer:p-by-step explanation:
15 x$1.50 is $22.50 then add that to the monthly fee of $14.00 for a total of $36.50
Please help now I need help ASAP thank you!
Answer:
Top TUV
Bottom: UV, UT, TV
Step-by-step explanation:
The scale factor from the larger to the smaller is 3/4
24(3/4) = 18
12(3/4) = 9
16(3/4) = 12
Please work on paper and help me do this
It should be noted that the addition of 1.17+ √63 will give an irrational number.
How to convey the informationIf p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so forth.
All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.
In this case, the answer is irrational, as the square root of 63 is not a rational number and cannot be expressed as a fraction of two integers.
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2x power of 2 + 3x + 1,Gives the answer 2x power of 3 + x power of 2 - 2x +1
The answer 2x power of 2 + 3x + 1. Therefore, the answer of the equation is x = 2.
Equation:
An equation is a mathematical operator that contains two algebraic expressions on either side of an equals (=) sign. Shows the equivalence between the expression written on the left and the expression written on the right. Every equation in mathematics has L.H.S = R.H.S (left = right). We can solve an equation to find the value of an unknown variable that represents an unknown quantity. If an expression does not have an equal sign, it is not an equation. This is considered an expression.
Now,
It has been given that
[tex]\frac{2^{3x-1} +10}{7} = 6[/tex]
Cross multiplying, we get
[tex]2^{3x-1} +10 = 42[/tex]
Subtract 10 to both sides
[tex]2^{3x-1} = 32[/tex]
Write 32 in exponent form
[tex]2^{3x-1} = 2^{5}[/tex]
Since, base of both sides of the equation is 2. Hence, the exponent must be equal.
3x - 1 = 5
⇒ 3x = 6
⇒ x = 2
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Maths question attached
(a) The scale factor from shape A to shape B is 3/4.
(b) The value of w is 21/4 cm.
What is sale factor?A scale factor is the ratio of the new object to a given original object.
For example,
The size of original object is A.The size of new object is B.They have the similar shape.The scale factor is A : B.
We have two similar trapezoid as shown in the picture.
Find (a) the scale factor from shape A to shape B, and (b) the value of w!
The scale factor from shape A to shape B can be determined by analyzing one of the side length. We can take the longest side of the trapezoid.
Scale factor = 9/12 = 3/4
The value of w side is correspond to 7. So,
w/7 = 3/4
w = 3/4 × 7
w = 21/4 cm
Hence, the scale factor is 3/4 and the value of w is 21/4 cm.
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what information do you need to be given to be able to use trig function to solve for a missing side length of a right triangle?
The width of a rectangle is 4.25y-7.5 feet and its length is 7.5y+8 feet. Find the perimeter of the rectangle.
The perimeter of the rectangle is (23.5y + 1) feet.
The perimeter of the rectangle formula:
The perimeter = the width + the length + the width + the length
The perimeter = 2 × (the width + the length)
The perimeter = 2 × ((4.25y - 7.5) + (7.5y + 8))
The perimeter = 2 × ((4.25y + 7.5y) + (- 7.5 + 8)
The perimeter = 2 × (11.75y + 0.5)
The perimeter = 23.5y + 1
So, the perimeter of the rectangle is (23.5y + 1) feet.
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I NEED HELP WITH THIS QUESTION ASAP PLEASE LOOK AT THE IMAGE ATTACHED
Answer: 250
Step-by-step explanation:
It says in the question that the first round was -350 but the second round she score 250 and the question wants to know how many points she scored in the second round with would be 250.
write the weight of caribou cows in kilograms as a prime factorization
Answer: Female caribou have a wide range of weight. They can average anywhere from 51 (3 x 17) to 156 (2 x 2 x 3 x 13) kg.
Step-by-step explanation:
I NEED HELP ON THIS ASAP!!
By using the x- and y-intercepts, a graph of the function modeling the total number of tickets sold is shown in the image attached below.
The domain and range of each function is {-∞, ∞}.
The meaning of the x-intercept is that the initial number of student tickets sold is 600 tickets.
The meaning of the y-intercept is that the initial number of adult tickets sold is 300 tickets.
The slope of the function is 0.5 and it represents the number of tickets sold per week.
You can use the graph to determine a combination of ticket sales to meet the goal of $3,000 by adding each ordered pair (s, a) or (x, y) together.
Felina's graph is correct because it has the same x-intercept and y-intercept with the original graph.
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would a assign variable to the number of student tickets sold and the adult tickets sold respectively, and then translate the word problem into a linear equation as follows:
Let the variable s represent the number of student tickets sold.Let the variable a represent the number of adult tickets sold.Since student are paying $5 while adults are paying $10 for a ticket and the athletic association need to raise $3000 by selling tickets, a linear equation that models the situation is given by:
5s + 10a = 3000
When s = 0, the value of a is given by:
5(0) + 10a = 3000
a = 300
When a = 0, the value of s is given by:
5a + 10s = 3000
s = 600
For the total number of tickets, we have this linear equation:
s + a = 450
In conclusion, we would use an online graphing calculator to plot the system of linear equations in order to determine the solution (point of intersection), which is at the ordered pair (300, 150).
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Complete Question:
The Marshall High School Athletic Association sells tickets for the weekly football games. Students pay $5 and adults pay $10 for a ticket. The athletic association needs to raise $3000 selling tickets to send the team to an out-of-town tournament.
1. Use x- and y-intercepts to graph the function modeling the total number of tickets sold on each coordinate plane.
2. Determine the domain and range of each function
find the value of x , please show how you did it
The value of x from the given figure is 15°.
What is sum of exterior angles of polygon?An exterior angle is an angle which is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side. The sum of the measures of the exterior angles of a polygon is equal to 360 degrees, irrespective of the number of sides in the polygons.
In the given figure, we have 7x°, 83°, 33°, 6x° and 49°.
Now, 7x°+83°+33°+6x°+49°=360°
13x+165=360
13x=360-165
13x=195
x=195/13
x=15
Now, 6x=90° and 7x=105°
Therefore, the value of x is 15°.
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Rephrasing a question I had because people keep misunderstanding it
write the equation 8-2x= 3(y+1)^2 in x-h=a(y-k)^2 form
Step-by-step explanation:
[tex](8 - 2x) = 3(y + 1) {}^{2} [/tex]
If we factor out -2
[tex] - 2( - 4 + x) = 3(y + 1) {}^{2} [/tex]
[tex](x - 4) = - 1.5(y + 1) {}^{2} [/tex]
Disclaimer: this is a weird question because they would usually have you isolate the quadratic(the term being squared) but this is the answer is you're form you asked about
The vertex of this parabola is (4,-1)
Is. AXYZ a right triangle? (Picture included)
Answer: yes
Step-by-step explanation:
7^2+24^2 = 625
[tex]\sqrt{625}[/tex] = 25
Simplify
Sin A(cos A + sin A tan A)
The equation be Sin A(cos A + sin A tan A) then the trigonometric identities be tan (A).
What is meant by trigonometric identities?Trigonometric Identities are equality conditions that apply to all values of the equation's variables and which require trigonometry functions. There are numerous unique trigonometric identities that involve both the side length and angle of a triangle.
Trigonometry equations known as trig identities are used frequently to solve trigonometry and geometry problems and comprehend a variety of mathematical facts. Understanding and remembering fundamental mathematical concepts and resolving a variety of math issues are made easier by having a solid understanding of key trig identities.
Let the equation be Sin A(cos A + sin A tan A)
Express with sin, cos
[tex]$=\frac{\left(\cos ^2(A)+\sin ^2(A)\right) \sin (A)}{\cos (A)}$$[/tex]
Rewrite using trig identities
= tan (A)
Therefore, the equation be Sin A(cos A + sin A tan A) then the trigonometric identities be tan (A).
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Guys no one answers this :(
A circle is inscribed in quadrilateral ABCD. If AB = 4, BC = 5, and CD = 8,
what is DA?
Step-by-step explanation:
the distance from a vertex of the quadrilateral to the touching points on the two sides emanating from the vertex is the same.
and that applies to each of the 4 vertices.
so, AB splits into the distance a (from A to the circle touching point on AB) and b (from the touching point on AB to B).
b = AB - a
in the same way, BC splits into b (B to circle touching point on BC) = AB - a, and c (circle touching point on BC to C).
c = BC - (AB - a) = BC - AB + a
CD splits into c (C to circle touching point on CD) = BC - AB + a, and d (circle touching point on CD to D).
d = CD - (BC - AB + a) = CD - BC + AB - a
DA now splits into d (D to circle touching point on DA) = CD - BC + AB - a, and into ... a (the circle touching point on DA to A).
a = DA - (CD - BC + AB - a) = DA - CD + BC - AB + a
0 = DA - CD + BC - AB
DA = CD - BC + AB = 8 - 5 + 4 = 7