Answer: 7,1 m
Explanation
Pythagoras theorem is a²+b²=c²
Our a is 1 m
b is 7 m
We have to find c:
1²+7²=c²
1+49=c²
c²=50
c=√50 ≈ 7,1 m
Lin got a $50 gift card to an online music store.
She bought an album for $9.99.
She also wants to use the gift card to buy some songs.
Each song costs $1.29.
Which inequality matches this situation? (Hint: nis the number of songs)
9.99 + 1.29n > 50
O 9.99 - 1.29n > 50
o 9.99 + 1.29n < 50
Step-by-step explanation:
I Hope it may help u
if yes glad to help you
can u find the suface area of the figure below
The surface area of the given prism is 230 in².
Given is a net of triangular prism, we need to find the surface area of the prism,
The surface area of a triangular prism = perimeter × length + base area
= (5 + 5 + 8) × 10 + 5 × 10
= 18 × 10 + 50
= 180 + 50
= 230 in²
Hence the surface area of the given prism is 230 in².
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Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
purchase some equipment to get started. After cleaning 3 pools, he was still down a total of $15.
Write a linear equation to represent the amount of money Logan has made, y, after cleaning x pools.
Answer:
Step-by-step explanation:
y = 50x - 165
You have a debt of $10,000 due in eight years. What is the
present value of this debt assuming a nominal rate of discount of
6% compounded monthly? Round your answer to the nearest dollar.
The present value of the debt, assuming a nominal rate of discount of 6% compounded monthly, is approximately $7,201.
To calculate the present value of the debt, we need to discount the future value of $10,000 back to the present time. The nominal rate of discount is 6%, which is compounded monthly.
To find the present value, we can use the formula for compound interest:
Present Value = Future Value / (1 + r/n)^(n*t)
Where:
Future Value is the amount of the debt, which is $10,000.
r is the nominal interest rate, which is 6% or 0.06.
n is the number of compounding periods per year, which is 12 for monthly compounding.
t is the number of years, which is 8.
Substituting the values into the formula, we get:
Present Value = 10,000 / (1 + 0.06/12)^(12*8)
Present Value ≈ $7,201
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Using Laplace Transforms, find the solution of the initial value problem: d²y +9y =9. sin(t). U(t - 3), = y(0) = y'(0) = 0 dx²
The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.
To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:
Take the Laplace transform of the given differential equation.
Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:
s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:
s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Solve for Y(s).
Combining like terms, we have:
Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))
Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:
Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)
Simplifying further, we have:
Y(s) * (s⁴ + 10s² + 9) = 9s² + 9
Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)
Partial fraction decomposition.
To proceed, we need to decompose the right side of the equation using partial fraction decomposition:
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)
Multiplying through by (s⁴ + 10s² + 9), we have:
9s² + 9 = A(s² + 9) + B(s² + 1)
Equating the coefficients of like powers of s, we get:
9 = 9A + B
0 = A + B
Solving these equations, we find:
A = 0
B = 0
Therefore, the decomposition becomes:
Y(s) = 0/(s² + 1) + 0/(s² + 9)
Inverse Laplace transform.
Taking the inverse Laplace transform of the decomposed terms, we find:
L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}
The inverse Laplace transform of 0/(s² + 1) is 0.
The inverse Laplace transform of 0/(s² + 9) is 0.
Combining these terms, we have:
Y(x) = 0 + 0
Therefore, the solution to the initial value problem is:
y(x) = 0
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Is 5 a solution for 3x + 4 = 19
Answer:
yesssssss!!!
Step-by-step explanation:
3 1/3 times 3 1/2
Help
Answer:
35/3
Step-by-step explanation:
To find the product of 3 1/3 and 3 1/2, we first need to convert both numbers to fractions with a common denominator.
3 1/3 is equal to 10/3, and 3 1/2 is equal to 7/2.
To find a common denominator, we can find the least common multiple of 3 and 2, which is 6.
Then, we can express both fractions as fractions with a denominator of 6:
10/3 becomes 20/6, and 7/2 becomes 21/6.
Now that both fractions have a common denominator, we can multiply them together:
(20/6) * (21/6) = 420/36
This fraction can be simplified to:
420/36 = 35/3
So, the product of 3 1/3 and 3 1/2 is 35/3.
\(3\dfrac{1}{3} \times3\dfrac{1}{2}\)
In order to multiply mixed numbers, you need to convert them into improper fractions.
\(3\dfrac{1}{3} \rightarrow\dfrac{10}{3}\)
\(3\dfrac{1}{2} \rightarrow\dfrac{7}{2}\)
Multiply:
\(\dfrac{10}{3} \times\dfrac{7}{2}\)
\(=\fbox{$\dfrac{35}{3} $}or\fbox{11$\dfrac{2}{3} $}\)
Mia wants to make a canvas tent as shown. How much canvas is needed to make the tent in inches squared?
Answer:
429
Step-by-step explanation:
f of x is equals to 3 - 2 x and g of x is equals to X Minus x square + 1 where x is an element of I have set of numbers find the inverse of G and the value for X for which f of G is equals to g of f
According to the given information, the value(s) of x for which\($f(G(x)) = g(f(x))$\) is x = 1 or x = -2/3.
What is the slope?The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
According to the given information:\(To find the inverse of $G(x)$:Replace $G(x)$ with $y$: $y = x - x^2 + 1$Solve for $x$: $x^2 - x + (1 - y) = 0$Apply the quadratic formula: $x = \frac{1 \pm \sqrt{1 - 4(1)(1-y)}}{2} = \frac{1 \pm \sqrt{-3 + 4y}}{2}$The inverse of $G(x)$ is therefore: $G^{-1}(x) = \frac{1 \pm \sqrt{-3 + 4x}}{2}$To find the value of $x$ for which $f(G(x)) = g(f(x))$:Start with $f(G(x))$: $f(G(x)) = f(x^2 - x + 2)$\)
\(Replace $f(x)$ with $3 - 2x$: $f(G(x)) = 3 - 2(x^2 - x + 2) = -2x^2 + 2x - 3$Replace $G(x)$ with $y$: $y = x^2 - x + 2$Replace $g(y)$ with $y - x^2 + 1$: $g(y) = y - x^2 + 1$Set $f(G(x))$ equal to $g(f(x))$ and solve for $x$:$-2x^2 + 2x - 3 = (3 - 2x) - x^2 + 1$Simplify and solve for $x$: $x = 1$ or $x = -\frac{2}{3}$\)
Therefore, according to the given information, the value(s) of x for which \($f(G(x)) = g(f(x))$\)is x = 1 or x = -2/3.
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Isabella is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 15 stuffed cats and 10 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over.
What is the greatest number of groups Isabella can place her stuffed animals into?
How many cats will be in each group?
How many dogs will be in each group?
Answer:
well for the cats she can do 3 for each and dogs 2 for each
Please help me with my math!
The equation of the quadratic function with four times the maximum width, with a maximum of 3 and an axis of symmetry of x = -2 is given as follows:
y = -4(x + 2)² - 3.
How to define the quadratic function given it's vertex?The quadratic function of vertex(h,k) is given by the rule presented as follows:
y = a(x - h)² + k
In which:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The width is four times the normal width and the function has a maximum, hence the leading coefficient is given as follows:
a = -4.
Considering the axis of symmetry and the maximum, the parameters h and k are given as follows:
h = -2, k = 3.
Hence the function is defined as follows:
y = -4(x + 2)² - 3.
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Question 2 of 10
What is the value of x?
79
A. 36
B. 140
C. 56°
D. 1449
Answer:
36°
Step-by-step explanation:
65°+79°+x° = 180° (sum of angles of triangle)
Solve the following system of inequalities graphically on set of axes below. State the coordinates of a point in the solution set.
Answer:
see below for a graph
(-8, 4) is in the solution set
Step-by-step explanation:
You want the graph and a solution point for the inequalities y ≤ -6/5x -4 and y ≥ 2/5x +4.
GraphThe solid boundary line of the first inequality will cross the y-axis at -4, and will have a "rise" of -6 units for each "run" of 5 units. Shading is below this boundary line.
The solid boundary line of the second inequality will cross the y-axis at +4 and will have a "rise" of 2 units for each "run" of 5 units. Shading is above this boundary line.
Solution setThe boundary lines make an X shape on the graph, crossing at the point (-5, 2). The solution set is in the left quadrant.
Point (-5, 2) is in the solution set, as are points in the doubly-shaded space to its left. (-8, 4) is one of those.
__
Additional comment
The boundary lines are solid because the "or equal to" case is included in each.
The ≤ symbol tells you y-values that satisfy the first inequality will be less than (or equal to) those on the boundary line.
The ≥ symbol tells you y-values that satisfy the second inequality will be greater than (or equal to) those on the boundary line.
Cantidad separada por un punto
Answer:
de qye hablas xd
Step-by-step explanation:
cual es la pregunta.?
Answer:
las opciones?
Step-by-step explanation:
the options?
What is the q1 of 531 469 573 206 374 421 505 489 702
Answer: Order the data to find the minimum, maximum, and quartiles.
206, 374, 421, 469, 489, 505, 531, 573, 702.
Step-by-step explanation: I hoped this helped in some way or form.
What is the y-intercept of 2x y =- 3?
The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).
What is the y-intercept of the given equation?The slope-intercept formula is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given the equation in the question
2x - y = -3
First, we solve form for y and reorder in slope intercept form.
2x - y = -3
Subtract 2x from both sides
2x - 2x- y = -3 - 2x
- y = -3 - 2x
Divide each term by -1
y = 3 + 2x
Reorder in slope intercept form
y = 2x + 3
To find the y-intercept, replace x with zero and solve for y
y = 2(0) + 3
y = 3
Therefore, the y-intercept is 3.
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what is speaker? what is printer
Answer:
A speaker is a term used to describe the user who is giving vocal commands to a software program. ... A computer speaker is an output hardware device that connects to a computer to generate sound. The signal used to produce the sound that comes from a computer speaker is created by the computer's sound card
Step-by-step explanation:
rate nyoooo plssss
which is a new graphic layer type? (select three items.) a. logo b. text c. rectangle d. circle e. ellipse
Logo, text, rectangle, circle, and ellipse are all new graphic layer types. Each of these elements can be used in a variety of ways to create stunning Graphic designs.
In graphics design, there are several types of layers. Layers are the fundamental building blocks of digital graphic design and allow graphic designers to stack, move, and manipulate visual elements. They enable users to manipulate individual components of an image without altering other areas. Which is a new graphic layer type? Here are three new graphic layer types:
LogoA logo is a unique graphical representation of an individual, business, or organization. It is often referred to as a symbol. Logos are frequently seen on websites, billboards, and other promotional materials.TextIn digital graphic design, text is an important element.
Text is a fundamental component of many designs, and it is used to convey messages and information. Because text is so common in graphic design, it has its own layer type.RectangleA rectangle is a geometric shape that is widely used in graphic design.
Rectangles can be used to create borders, frames, and dividers, among other things. They can also be used to highlight text, logos, and other design elements.
CirclesA circle is another popular geometric shape in graphic design. Circles can be used in design to create visual interest and balance. They can be used to highlight text or logos, and they can also be used to create frames or borders.
EllipseAn ellipse is a more complex version of a circle. It is an oval shape that can be used to create visual interest and balance in designs. It can be used to highlight text, logos, and other design elements. It can also be used to create frames, borders, and other shapes.
In summary, Logo, text, rectangle, circle, and ellipse are all new graphic layer types. Each of these elements can be used in a variety of ways to create stunning graphic designs.
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What are complementary angles
Answer:
Complementary angles are two angles that add up to 90° in total measurement.
Example:
Angle 1 is 34°. It's complement would be 56°.
\(90 -34=56\)
Brainilest Appreciated.
please help!! i need this for a quiz and i am struggling
The surface area of the composite figure is 190 square inches.
What is a composite figures?
Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle. Composite figure = 3 sides of a rectangle + ½ the circumference of a circle.
The Box:
Length that equals 11 in
Width that equals 8 in
Height that equals 5 in
The surface area of 4 faces is given by
A=2H(L+W)
A=2×5(11+8)
A=10(11+8)
A=10×90
A=190
Hence , The surface area of the composite figure is 190 square inches.
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write each equation in slope-intercept form.
1. 3x = -8 + y
2. 9 = 3x + 3y
3. 4y – 10 = 20x
\(\text{Slope- intercept form is y =mx+c, where m is the slope and c is the y-intercept.}\\ \\\textbf{1)}\\\\~~~~~3x = -8+y\\\\\implies y = 3x +8\\\\\textbf{2)}\\\\~~~~~9=3x+3y\\\\\implies 3y= 9-3x\\\\\implies y= \dfrac 13(9-3x)\\\\\implies y= 3-x\\\\\implies y= -x+3\\\\\textbf{3)}\\\\~~~~~~4y-10 = 20x\\\\\implies 4y = 20x +10\\\\\implies 2y = 10x +5\\\\\implies y = \dfrac 12(10x +5)\\\\\implies y= 5x +\dfrac 52\)
the opposite of eight increased by three
In a numerical expression
The expression, the opposite of eight increased by three, written as a numerical expression is -8 + 3
The value is -5
Evaluating an expressionFrom the question, we are to write the numerical expression for the given expression
The given expression is
"the opposite of eight increased by three"
The opposite of eight is -8
If -8 is increased by three
That is,
-8 + 3
We get,
-8 + 3 = -5
Hence, the expression, the opposite of eight increased by three, written as a numerical expression is -8 + 3
The value is -5
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Need some help please
Answer:
Answer:options A is correct answers.
please follow meDetermine whether the following statement is true or false. If it is false, explain why. The probability that event A or event B will occur is P(A or B)= P(A) + P(B) - P(A or B). Choose the correct answer below. A. True B. False, the probability that A or B will occur is P(A or B)= P(A) middot P(B). C. False, the probability that A or B will occur is P(A or B)= P(A) + P(B). D. False, the probability that A or B will occur is P(A or B)= P(A) + P(B) - P(A and B).
False, the probability that A or B will occur is P(A or B) = P(A) + P(B) - P(A and B).
Define probabilityProbability refers to the measure of the likelihood or chance of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates an impossible event, and 1 indicates a certain event.
This formula is known as the Addition Rule for Probability and states that to calculate the probability of either event A or event B occurring (or both), we add the probability of A happening to the probability of B happening, but then we need to subtract the probability of both A and B happening at the same time to avoid double counting.
Option A is not the correct answer because it is missing the subtraction of P(A and B), options B and C are incorrect because they omit the subtraction and only add the probabilities of the events. Option D is close, but it is missing the addition of the probabilities of A and B.To know more about event, visit:
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what is the probability that more than 5 patients arrive at the hospital with flu-like symptoms between 12:00pm and 12:20pm?
Answer: X 0 1 2 3 4 5 6 7 8 P(X=k) 0.05 0.07 0.13 0.12 0.20 0.25 0.07 0.03 0.08 the probability that more than 5 patients arrive at the hospital
What is the probability that more than 5 patients arrive at the hospital with flu-like symptoms between 12:00pm and 12:20pm?
Step-by-step explanation:
Group of answer choices
A. 0.43
B. 0.18
C. 0.82
D. 1
Part two of the question:
using the same information as stated before,
Match the probability statements with the correct probabilities.
(choose one answer)
The probability that X is less than or equal to 5.
A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52
The probability that X is greater than 7.
A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52
The probability that X is between 3 (noninclusive) and 7 (noninclusive).
A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52
The probability that no patients arrive in that interval.
A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52
A combination lock has the numbers on it and no digit can be repeated how many sequences of three numbers can be formed to open the lock?A.30B.720C.920D.1000
There are a total of three numbers in a combination lock, and no digit can be repeated. To open the lock,
The correct answer is B. 720.
The first number can be any of the 10 digits, and the second number can be any of the 9 remaining digits because no digit can be repeated.
Finally, since there are 8 digits left, the third digit can be any of these.
The combination can be created in the following manner:
The total number of possible combinations = (Number of ways to select the first number) x (Number of ways to select the second number) x (Number of ways to select the third number).
= 10 x 9 x 8 ⇒ 720.
Therefore, the sequence of the combination is 720, and option (B) is correct.
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a restaurant chains owners are trying to decide if they want to open up a franchise in your town to help them decide they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain.
Answer:
It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.
Step-by-step explanation:
Find the instantaneous velcoity at any point if the function is f(x) = 18x - 3x^3 - 1
а 18
b 18- 9x^2
c -18x^2
d -18x^3 - 9
the latin dance club needs to raise more than $178.50 to buy costumes. the club has already raised $35.70. which inequality shows how much money each of the 7 club members needs to raise, m, if each person raises the same amount?
Answer:
The Latin dance club needs to raise $178.50 to buy costumes. The club has already raised $35.70, so they need to raise $178.50 - $35.70 = $142.80 more. If each person raises the same amount, then each person needs to raise $142.80 / 7 = $20.40.
Therefore, the inequality that shows how much money each of the 7 club members needs to raise is: m > $20.40
Step-by-step explanation:
find an expression which represents the difference when (-5x 7) is subtracted from (9x 5)in simplest terms.
-14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Now,
Given: Two expressions: (-5x + 7) and (9x + 5).
To find: Expression obtained when (-5x + 7) is subtracted from (9x + 5).
Finding:
By basic algebra, we can write:
=> ( -5x + 7) - (9x + 5) = ( -5x + 7) - 9x - 5
=> -5x - 9x + 7 - 5 = -14x + 2
Hence, -14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.
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