Answer:
x=37
Step-by-step explanation:
(2x-5) + (3x +10) = 180
5x-5=180
5x=185
x=37
Answer:
answer is x=37 hope this works
Step-by-step explanation:
What is the total area of the figure below?
8 in.
16 in
6 in 10 in.
9 in.
Answer:
141 inches (not sure if that's an option but that's what I got
Step-by-step explanation:
I added the areas of the trapezoid and the triangle in the screenshots
Answer:
141
Step-by-step explanation:
Area of triangle = 24
Area of Trapezoid= 117
117+24
141
The student council has been asked to conduct a survey of the student body to determine the students* lunch preferences. They have determined two ways to do the survey. Which survey option should the student council use?
Sample 1: Write all of the students' names on cards and pull them out in a drawing to determine who will complete the survey.
About surveySurveys can serve many purposes, and researchers can do so in many ways. Survey is a research method used to obtain information and insights on various topics of interest.
Surveys are a method that can provide a source of data and insights. Common types of surveys are written questionnaires, face-to-face or telephone interviews, focus groups, and electronic surveys. Surveys are the basis for gathering information on a large scale.
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A mathematician is wondering what would happen to the surface area of a square if you were to repeatedly cut the square in half. She concludes that the surface area would become less and less but would never become zero units\(^2\). Which equation would help her model the surface area of a square piece of paper as it was repeatedly cut?
a) \(y=x^2+4x-16\)
b) \(y=-25x^2\)
c) \(y=9(2)^x\)
d) \(y=36(\frac{1}{2})^x\)
The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\)
Option D is the correct answer.
We have,
In this equation, the variable x represents the number of times the square is cut in half, and y represents the surface area of the square.
As x increases, the exponent of 1/2 decreases, causing the value of y to decrease.
This exponential decay accurately represents the idea that the surface area becomes less and less but never reaches zero units²
Thus,
The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\).
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The correct equation that would help model the surface area of a square piece of paper as it is repeatedly cut in half is: \(\(y=36(\frac{1}{2})^x\)\)
As the square is cut in half, the side length of the square is divided by 2, resulting in the area being divided by \(\(2^2 = 4\)\).
Therefore, the equation \(y=36(\frac{1}{2})^x\)\)accurately represents the decreasing surface area of the square as it is repeatedly cut in half.
and, \(\(y=x^2+4x-16\)\)is a quadratic equation that does not represent the decreasing nature of the surface area.
and, \(\(y=-25x^2\)\) is a quadratic equation with a negative coefficient.
and, \(\(y=9(2)^x\)\)represents exponential growth rather than the decreasing nature of the surface area when the square is cut in half.
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One of the legs of a right triangle measures 2 cm and its hypotenuse measures 18 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
17.9
Step-by-step explanation:
define f: {0,1}2 → {0, 1}3 such that for x ∈ {0,1}2, f(x) = x1. what is the range of f?
The function f takes a binary string of length 2, and returns the first bit of that string, which is either 0 or 1.
Therefore, the range of f is {0, 1}.
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Simple question
Find the measure of the angle indicated.
Given the arc length of a circle is 127π centimeters and the subtended angle is 60˚. Find the Circumference of the circle.
The circumference of the circle is 762π cm.
What is length of arc of a circle?The length of arc a circle can is determined with the radius and central angle of the arc.
The radius of the circle is calculated as follows;
\(L = \pi r \times \frac{ \theta }{180} \\\\ \pi r \theta = 180 L\\\\ \pi r = \frac{180 L}{\theta} \)
The circumference of the circle is calculated as follows;
\(C = 2\pi r\\\\ C = 2(\pi r)\\\\ C = 2(\frac{180 \ L}{\theta } )\\\\ C = 2(\frac{180 \times 127\pi}{60 } )\\\\ C = 762 \pi \ cm\)
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Consider the function
f(x)=2x^2+4x−6
Over what interval is f(x) negative?
A. (0, 3)
B. (-3, 1)
C. (0, -8)
D. (-1, -8)
letter d I think that but I don't sure
Answer:
the answers d
Step-by-step explanation:
what is n to the -2 power times n to the 6 power
Answer:
\(n^4\)
Step-by-step explanation:
So we have:
\(n^{-2}\cdot n^6\)
We can use the following property:
\(x^a\cdot x^b=x^{a+b}\)
Thus, our expression is equivalent to:
\(=n^{-2+6}\)
Add:
\(=n^4\)
And we're done!
n2
i have taken something like this before!
What is the surface area of the triangular prism?
A. 13 in.2
B. 36 in.2
C. 78 in.2
D. 84 in.2
Answer:
84
Step-by-step explanation:
Using pythag theorem we can find the last side of the triangle, which is equal to 5 after we have this we simply add up the areas of each individual shape like (1/2*3*4)+(1/2*3*4)+(6*5)+(3*6)+(4*6)
Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. dy dx = y^+x², + y(0) = 7
Based on the conditions of the theorem, we cannot conclude that the given initial value problem has a unique solution.
To determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution, we need to check if the given differential equation satisfies the conditions of the theorem. The Existence and Uniqueness of Solution Theorem states that if a differential equation of the form dy/dx = f(x, y) satisfies certain conditions, then there exists a unique solution to the initial value problem.
The conditions for the theorem to apply are: The function f(x, y) is continuous in a region containing the initial point (x₀, y₀). The function f(x, y) satisfies a Lipschitz condition with respect to y in a region containing the initial point. In the given initial value problem, the differential equation is dy/dx = y^2 + x^2, and the initial condition is y(0) = 7. To check if the conditions of the Existence and Uniqueness of Solution Theorem are satisfied, we need to verify if the function f(x, y) = y^2 + x^2 is continuous in a region containing the point (0, 7) and if it satisfies the Lipschitz condition.
Continuity: The function f(x, y) = y^2 + x^2 is a polynomial, and polynomials are continuous everywhere. Therefore, f(x, y) = y^2 + x^2 is continuous in the region containing the point (0, 7). Lipschitz condition: To check if the Lipschitz condition holds, we need to calculate the partial derivative of f(x, y) with respect to y and check if it is bounded in a region containing the point (0, 7). ∂f/∂y = 2y
The partial derivative ∂f/∂y = 2y is not bounded in a region containing the point (0, 7). Since the Lipschitz condition is not satisfied, the Existence and Uniqueness of Solution Theorem does not guarantee a unique solution for the given initial value problem. Therefore, based on the conditions of the theorem, we cannot conclude that the given initial value problem has a unique solution.
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why does george need to fix the expression?; 15 − 9 + 2.65 + 1.35 + 2(1.74) why does george need to fix the expression?
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used: 15 - 9 + 2.65 + 1.35 + 2(1.74) Can you help him determine why he does not have enough money?
George doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.
From the above question:
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.
Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )
Use the order of operations to simplify this expression.
Using the order of operations we have:
=$ 15 – (9 + 2.65 + 1.35 + 2(1.74) )
= $15 -( 9 + 2.65 + 1.35 + 3.48 )
=$ 15 – (16.48)
= $-1.48
Hence , george doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.
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Hello I am not able to solve this answer to determine the sequences or diverges to this question
We are given the following sequence:
\(a_n=\mleft\lbrace\frac{3}{4},\frac{1}{8},\frac{-1}{2},\frac{-9}{8}\mright\rbrace\)We notice that each term is determined by adding -5/8 to the previous term, like this:
\(\begin{gathered} \frac{3}{4}-\frac{5}{8}=\frac{1}{8} \\ \\ \frac{1}{8}-\frac{5}{8}=-\frac{1}{2} \\ \\ -\frac{1}{2}-\frac{5}{8}=-\frac{9}{8} \end{gathered}\)Therefore, the sequence is an arithmetic sequence with a common difference of -5/8.
Arithmetic sequences are convergent only when the common diference is zero, therfore, the sequence is divergent.
Work in groups of two to three (If possible). For each of the activities described have the required number of people in your group (usually 1) perform the activity as the others observe. Following the performance and observation, record what was seen. Make sure that you understand the activity prior to performance. The observers should choose their positions carefully with reference to the planes of motion.
Laboratory Report - Reflexes
1. Long Jump - perform 2 trials of each of these jumps in turn. Record the relative length of each jump
(which jumps are longer than others).
Assign a rank order by distance:
_____a. Use a bobbing motion with the knees and arms.
_____b. Start the jump from a position of deep knee flexion, with no knee motion prior to the start of the jump.
_____c. Start the jump with the knees fully extended, using no knee motion.
a. Jump with a bobbing motion: Shortest jump b. Jump from deep knee flexion: Intermediate jump
c. Jump with fully extended knees: Longest jump ,In the long jump activity, three different jumping techniques were observed:
a) The bobbing motion involved bending and extending the knees and arms during the jump.
b) Starting from deep knee flexion meant initiating the jump from a position with knees bent and no motion prior to the jump.
c) Starting with fully extended knees involved jumping with the knees straight and no motion before the jump. During the performance, the lengths of each jump were measured. Trial results consistently indicated that the jump with the bobbing motion had the shortest length, while the jump starting from deep knee flexion had an intermediate length. The jump with fully extended knees consistently achieved the longest distance.
The observations reveal that starting the jump with fully extended knees and no knee motion results in the longest jump. The bobbing motion with knee and arm movements leads to the shortest jump. Deep knee flexion position falls between the two in terms of jump length.
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Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?
Answer:
you add the 11 back to the other side making it x^2+12x+11=0
then you factor it
(x+11)(x+1)
you should know what to do from here
Answer:
Step-by-step explanation:
x2 + 12x = –11
x2 + 12x +36 = –11 + 36
(x+6)^2 = -11 + 36 = 25 = (+/- 5)^2
x+6 = +/- 5
x+6 = +5 => x=-1
x+6 = -5 => x = -11
So the solution set is S = {-1, -11}
if y = 2x + 2, show by calculation that the graph will cross on the x-axis at x=1
Answer:
When x = 1, y = 4. The point on the graph is (1,4)
Step-by-step explanation:
1. Plug x = 1 into the equation
y = 2(1) + 2
2. Solve for y
y = 2 + 2 = 4
So, when x = 1, y = 4. Hope this helps!
Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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This is for a final pleasd help
A. Factorising 3x¹⁰ - 48x² using the greatest common factor is 3x²(x⁸ - 16).
B. Factorising completely is 3x²( (x²- 2)(x² + 2)(x² + 2 - 2x)(x² + 2 + 2x))
How to factorise an expression?To factorize an expression, the highest common factors of the terms of the given expression are determined and then we group the terms accordingly.
Therefore, let's factorise using the greatest common factor of the expression as follows;
3x¹⁰ - 48x²
Hence, the greatest common factor is 3x²
Therefore,
3x¹⁰ - 48x² = 3x²(x⁸ - 16)
B.
Therefore, let's factor the expression completely,
3x¹⁰ - 48x² = 3x²(x⁸ - 16)
Then,
(x⁸ - 16) = (x⁴ + 4)(x⁴ - 4) = (x²- 2)(x² + 2)(x² + 2 - 2x)(x² + 2 + 2x)
Hence,
3x¹⁰ - 48x² = 3x²( (x²- 2)(x² + 2)(x² + 2 - 2x)(x² + 2 + 2x))
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Solve four and six tenths plus six and eight tenths = ___.
fourteen tenths
twenty-two tenths
one hundred two tenths
one hundred fourteen tenths
The sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.
Describe Algebraic Expression?In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent and solve problems in various areas, including science, engineering, economics, and mathematics.
An algebraic expression can contain one or more variables, which represent unknown or changing quantities, and one or more constants, which represent fixed values. The variables are usually represented by letters, such as x, y, or z. The operations of addition, subtraction, multiplication, and division are represented by the symbols +, -, ×, and ÷, respectively. Parentheses are also used to group terms and indicate the order of operations.
For example, the algebraic expression 3x + 2y - 5 represents a combination of two variables, x and y, and three constants, 3, 2, and 5. The terms 3x and 2y are the variables multiplied by their coefficients, while -5 is a constant term.
Algebraic expressions can be simplified by combining like terms, which are terms that have the same variable raised to the same power. For example, in the expression 3x + 2y - 5 + 4x - 3y, the like terms are 3x and 4x, and 2y and -3y. Combining these terms yields the simplified expression 7x - y - 5.
Algebraic expressions are used in various mathematical operations, such as solving equations, graphing functions, and evaluating formulas. They are also used in real-world applications, such as calculating interest rates, solving optimization problems, and modeling physical phenomena.
Four and six tenths can be written as 4.6, and six and eight tenths can be written as 6.8. To find their sum, we add the two numbers:
4.6 + 6.8 = 11.4
So the sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.
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A. g(x)=(x-1)^3
B. g(x)=(x+1)^3
C. g(x)=x^3-1
D. g(x)=-x^3
The equation of g(x) is option A. g(x) = (x - 1)³.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Here, given a graph f(x) = x³, which is given in the blue.
Another function is also shown which is in red.
We can clearly see that f(x) is moved right to 1 units to form the function g(x).
This can be seen by taking any point on f(x).
Take (0, 0) through which f(x) passes. Corresponding point in g(x) is (1, 0).
Now, when the original function moves to the left or right, it is an example of horizontal translation.
f(x) will change to f(x - k) when the translation is towards right, where k is the unit which is changed.
Here k = 1
f(x) = x³
g(x) = f(x - 1) = (x - 1)³
Hence the function g is g(x) = f(x - 1) = (x - 1)³.
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need help asap! will give brainliest!
Answer:
x = 9
Step-by-step explanation:
tan 53° = 12/x
x = 12/tan 53°
x = 9.04
Talia bought an MP3 player for $150.00. What amount of sales tax must she pay if the sales tax rate is 6%?
Answer:
OK so I'm not that good at math but the answer should be.. $175?
Step-by-step explanation:
I don't know if that's right answer or not so... :/
PLEASE HELP ME GET UNGROUNDED
Factor and solve
2x (to the 2nd power) +6x=0
x= (blank) and x= (blank)
Answer:
2x(x+3)=0
x=0, -3
Step-by-step explanation:
2x^2+6x=0
2(x^2+3x)=0
2x(x+3)=0
x=0, -3
first, find all the common terms/factors and divide them out of the entire term, then solve for x. If the equation is equal to 0, set each part equal to 0. In this example, it would be 2x=0 and x+3=0. for 2x=0, what times 2 is equal to 0? the answer is zero. For x+3=0 the goal would be to get x by itself on one side of the rquation. to do that we need to subtract 3 from x+3 and what you do to one side you must do to the other. 0-3= -3
Find the lateral area and surface area of a regular hexagonal right prism is the base edges are 10 and the height is 12.
Round your answer to the nearest tenth.
LA = units squared
SA = units squared
Answer:
Step-by-step explanation:
a hexagonal prism is made up of two bases that are hexagons and six faces that are rectangles.
Lateral surface area, LA = Perimeter × height
Perimeter = number of sides × length of each side
Perimeter, P = 6 × 10 = 60
LA = 60 × 12 = 720 units squared
Area of each base, B = 1/2a × perimeter
Where
a = apotherm
We would determine the length of the apotherm of each base of the prism by applying the formula,
a = s/[2tan(180/n)]
Where
s = length of each side = 10
n = 6 sides
a = 10/[2tan(180/6) = 10/[2tan30)
a = 8.66
B = 1/2 × 8.66 × 60 = 259.8
Total surface area = LA + 2B
Total surface area = 720 + 2 × 259.8 = 1239.6 units squared
Wht is the answer of c and d
The solution of equation A and equation B will be 7 and 5, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equations are given below.
\(\rm \sqrt{488x^c} = 8x^3\sqrt{7x}\\\\\sqrt[3]{576x^d} = 4x\sqrt[3]{9x^2}\)
Simplify the equation \(\rm \sqrt{488x^c} = 8x^3\sqrt{7x}\), then the value of 'c' is calculated as,
\(\rm \sqrt{488x^c} = 8x^3\sqrt{7x}\\\\\rm \sqrt{488x^c} = \sqrt{7x(8x^3)^2}\\\\\rm \sqrt{488x^c} = \sqrt{488x^7}\\\\\)
Compare the equation, then the value of 'c' will be 7.
Simplify the equation \(\rm \sqrt[3]{576x^d} = 4x\sqrt[3]{9x^2}\), then the value of 'c' is calculated as,
\(\rm \sqrt[3]{ \rm 576x^d} = 4x\sqrt[3]{ \rm 9x^2}\\\\\rm \sqrt[3]{ \rm 576x^d} = \sqrt[3]{ \rm 9x^2(4x)^3}\\\\\rm \sqrt[3]{ \rm 576x^d} = \sqrt[3]{ \rm 576x^5}\)
Compare the equation, then the value of 'd' will be 5.
The arrangement of condition An and condition B will be 7 and 5, individually.
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what is the slope of this line ?
Answer:
1 I think
Step-by-step explanation:
Change in y
--------------------
Change in x
if you're given a jar with a mix of fair and unfair coins, and you pull one out and flip it 3 times, and get the specific sequence heads heads tails, what are the chances that you pulled out a fair or an unfair coin
The probability of pulling out a fair or an unfair coin cannot be determined unless the probability of obtaining heads on an unfair coin toss and the proportion of unfair coins in the jar is known.
Let p be the probability of obtaining heads on a fair coin toss. Since the coin is fair, p = 1/2. Thus, the probability of obtaining the sequence heads, heads, tails on a fair coin toss is:
p × p × (1 - p) = (1/2) × (1/2) × (1/2) = 1/8
Therefore, the probability of pulling out a fair coin is 1/8.
Let q be the probability of obtaining heads on an unfair coin toss. Since the coin is unfair, q ≠ 1/2. Thus, the probability of obtaining the sequence heads, heads, tails on an unfair coin toss is:
q × q × (1 - q)
Therefore, the probability of pulling out an unfair coin is:
Probability of pulling out an unfair coin = (Probability of obtaining the sequence heads, heads, tails on an unfair coin toss) × (Probability of choosing an unfair coin)
= q × q × (1 - q) × P (unfair)
Thus, the probability of pulling out a fair coin or an unfair coin is:
Probability of pulling out a fair or an unfair coin = 1/8 + q × q × (1 - q) × P (unfair).
Therefore, the probability of pulling out a fair or an unfair coin cannot be determined unless the probability of obtaining heads on an unfair coin toss and the proportion of unfair coins in the jar is known.
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40. Which two are equivalent to 4?
A A √2
BV8
C V16
D V12
E V64
Answer:
a or b
Step-by-step explanation:
Line H is represented by the following equation: 2x + 2y = 8
What is most likely the equation for line K so the set of equations has infinitely many solutions?
x + 2y = 2
x + y = 4
2x + y = 6
x − y = 8
Answer:
B
Step-by-step explanation:
Line H is represented by the equation:
\(2x+2y=8\)
And we want to find Line K such that the set of equations has infinitely many solutions.
Remember the three solution sets for linear equations:
If the two are parallel, they have no solutions. If the two are not parallel, they will intersect and thus have only one solution. If the two are the exact same line, then they will have infinitely many solutions.From Line H, we can divide both sides by two. This yields the equivalent equation:
\(x+y=4\)
Therefore, the new equation and Line H are the same line. Thus, they will have infinitely many solutions.
The answer is B.
Answer:
b
Step-by-step explanation:
i did the test and got it right
✓38 is approximately equal to
A. 20
B. 3.8
C. 6
D. 14
Answer:
C
Step-by-step explanation:
I hope this helps you out!