One water tank can be rented for 160 dollars, according to the provided statement.
What are circumference and radius?The radius of a circular is the separation between its centre and perimeter. Always, the circumference is twice the radius.
The volume of the cylinder-shaped water tank is given by the formula
V = πr²h, where
r is the radius
h is the height.
Substituting the given values, we get:
V = π(4 feet)²(2 feet) = 32π cubic feet
The cost of renting the water tank is given by the product of the volume and the cost per cubic foot:
Cost = 5 dollars/cubic foot × 32π cubic feet
Multiplying these values, we get:
Cost = 160π dollars
Therefore, it costs 160π dollars to rent one water tank.
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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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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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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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How to get smarter for a math test
Answer:
I would recommend taking practice quizzes online for the level of math you are taking to find what areas you understand well and what areas you are struggling in. From there, you can review that specific area of math and refine your knowledge. Taking practice quizzes repeatedly until you are confident both in the mathematics and the test taking itself(if you struggle with test taking in general) will help a lot.
Answer:
Step-by-step explanation:
Study Time: I suggest you study over a period of time and try to understand the topic. For example, try to include breaks to help yourself relax. DO NOT cram lots of math into your head on an overnight studying marathon. Many people try that, and unless you have a photographic memory, it does not help at all.
Topics: Try to study one topic at a time so the information does not get mixed up in your head. Try to remember things with variables.
Resources: Ask your teacher what topics the test will cover and how many questions will be on the test. You can find lots of worksheets online and review explanations to similar questions on websites.
Morning before the test: Sleep early and wake up early. Try to relax and eat a healthy breakfast.
I wish you luck on your test!
are the first five terms of a sequence:
Here
9, 16, 23, 30, 37
b) Vick says that 137 is a term of this sequence. Is she correct? Explain your
answer.
137 is not a term of the sequence because 7n +2= 137 does not have a
solution.
137 is a term of the sequence because it ends in 37, just like the fifth term
37.
137 is not a term of the sequence because 7n +2= 137 gives n = 19.285...
which is not a whole number.
Click here to show yo
137 is a term of the sequence because it is an odd number, just like the rest
of the terms.
137 is a term of the sequence because 7n+2= 137 gives n = 18, and so
137 is the 18th term.
137 is not a term in this sequence due to the fact that 7n +2= 137 gives n = 19.285 which is not a whole number.
How to solve for the sequenceWe have to use the formula
tn = a + ( n - 1) d
where we have tn = 137
a is the first term = 9
n i unknown
d is the difference = 16 - 9 = 7
We have to put these values in the formula such that
137 = 9 + (n - 1) 7
then we have to expand this
137 = 9 + 7n - 7
take the like terms
137 = 9 - 7 + 7n
137 = 2 + 7n
137 - 2 = 7n
135 = 7n
divide through by 7
135 / 7 = 7n / 7
n = 19.28571...
This is not a whole number, hence 137 is not a term in the sequence that we have here
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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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A ___ is a quadrilateral with two sets of parallel sides and 4 congruent sides
A quadrilateral with two sets of parallel sides and 4 congruent sides is called a parallelogram. A parallelogram is a quadrilateral with two sets of parallel sides and 4 congruent sides.
A parallelogram is a four-sided polygon with two pairs of opposite sides that are parallel to each other and equal in length. This means that the shape has two sets of parallel sides and all of its sides have the same length.
Parallelograms have several key properties, including opposite sides that are equal in length and parallel, and opposite angles that are equal in measure. Additionally, the diagonals of a parallelogram bisect each other, meaning they split each other in half.
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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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4/7 of the girls the chicken nuggets,whereas 40% of the boys like the chicken nuggets.How many total students like chicken nuggets?What percents of the entire students body is this?
Total number of students that like chicken nuggets is 4/7 x G + 40/100 x B.
The percentage of entire student body that like chicken nuggets are (4/7 x G + 40/100 x B) / T x 100.
How to calculate totals and percentage?Given that 4/7 of the girls like chicken nuggets, if there are G girls, then the number of girls who like chicken nuggets is 4/7 x G.
Given that 40% of the boys like chicken nuggets, if there are B boys, then the number of boys who like chicken nuggets is 40/100 x B.
The total number of students who like chicken nuggets is 4/7 x G + 40/100 x B.
To find the percentage of the entire student body that likes chicken nuggets, divide the number of students who like chicken nuggets by the total number of students, and multiply by 100.
Let's say there are T total students.
The percentage of the entire student body that likes chicken nuggets is (4/7 x G + 40/100 x B) / T x 100.
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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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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%
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
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
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?
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
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
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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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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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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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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Is. AXYZ a right triangle? (Picture included)
Answer: yes
Step-by-step explanation:
7^2+24^2 = 625
[tex]\sqrt{625}[/tex] = 25
PLEASE HELP!!! The net of a rectangular prism is shown below. giasl
8 cm
3 cm,
5 cm
8
3 cm
What is the surface area, in square centimeters, of the rectangular prism?
Answer:
[tex]158[/tex][tex]cm^2[/tex]
Step-by-step explanation:
Since the formula is [tex]2(wl+hl+hw)[/tex], we can simply plug in the lengths.
Once calculated, the answer is [tex]158cm^2[/tex].
Hope it helped!
Answer:
158 cm²
Step-by-step explanation:
You want the surface area of a rectangular prism whose net is shown.
AreaThe surface area of the prism is the area of the net. That area is the sum of the areas of the rectangles that make it up. The rectangles come in pairs that have the same area.
Down the middle we have two pairs of rectangles. One pair is 8 cm wide and 3 cm high; the other is 8 cm wide and 5 cm high. Together the area of those four rectangles is ...
2(8 cm)(3 cm +5 cm) = 2(64 cm²) = 128 cm²
The "wings" of the net are rectangles that are 3 cm by 5 cm, so their total area is ...
2(3 cm)(5 cm) = 30 cm²
The area of the net is then ...
surface area = 128 cm² +30 cm²
surface area = 158 cm²
__
Additional comment
If you like, you can use the area formula. It will tell you the same thing for this 3 × 5 × 8 cm prism.
SA = 2(LW +H(L +W)) = 2(3·5) +8(3 +5)) = 2(15 +8·8) = 2(79) = 158 . . . cm²
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.
2
Here is the graph of the function y = x² + x - 5.
2
Estimate the solutions to x² + x − 5 = 0.
Give your answers to 1 decimal place.
The root of the equation are x² + x − 5 = 0 are 2.85 and --3.85
What are quadratic equation?quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
We can use the formula x =-b±√b²-4ac/2a to find the root of a quadratic equation
a = 1, b = 1 and c = -5
x= -(1) ± √ 5²-4× -5×1)/2
x = -1±√25+20)/2
x = -1±√45)/2
x = -1+6.7/2 or -1-6.7/2
x = 5.7/2or -7.7/2
x = 2.85 or -3.85
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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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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:
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
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.
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.
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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