30 - 2x= 22
-2x = 22 - 30
-2x = -8
(dived both sides by -2)
x= 4
what is 4.62 expressed as an improper fraction
Answer:
231/50
Step-by-step explanation:
The other answer was mean, so theres the correct answer.
list and describe two specialized alternatives not often used as a continuity strategy. quizlet
1. P-adic Numbers:
P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.
2. Nonstandard Analysis:
Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.
To learn more about alternatives in mathematics click here brainly.com/question/17199039 #SPJ11
Write : linear equation to represent the line shown on the graph.
The equation of the line that passes through the points (0,-2) and (3,2) is 4x-3y-6 = 0.
What is equation of line?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
In the given graph,
The points are (0,-2) and (3,2)
To find the equation of the line,
Find slope by using formula m = (y₂-y₁)/(x₂-x₁)
m = (2-(-2))/(3-0)
m = 4/3
The equation of line is,
y-y₁ = m (x-x₁)
y-(-2) = 4/3(x-0)
y+2 = 4/3x
3y+6 = 4x
4x-3y-6 = 0
The required equation of line is 4x-3y-6 = 0.
To know more about Equation of line on:
https://brainly.com/question/21511618
#SPJ1
What two-dimensional cross sections could be obtained from a right rectangular prism?
Select the three correct answers.
Circle
O Square
Ellipse
Parabola
Rectangle
Parallelogram that is not a square or a rectangle
Answer:
parelleogram rectangle square ellipse
Step-by-step explanation:
The 2D shape obtained by Cross-section of a right rectangular prism will be A Square or A Rectangle.
What is Cross-section?A view or drawing that shows what the inside of something looks like after a cut has been made across it.
Given that A right rectangular prism
The cross-sections of a right rectangular prism will be either a square or a rectangle.
Hence, The 2D shape obtained is a square or a rectangle.
For more references on cross-sections, click;
https://brainly.com/question/15541891
#SPJ2
i could really use an explanation of this problem please and thank you
Answer:
the answer for this is (2,2)
Find the ending balance
if $2,000 was deposited
at 4% annual interest
compounded
semi-annually for 6 years.
The ending balance would be $2,536.48
Answer:
the person above has the answer:>
if we allowed the number of edges between any two nodes to be more than two - i.e. there are 7 roads from city a to city b and 5 roads from city b back to city a and so on, like that for many of the other cities, then which of the two data structures we used for our graph problems, would be able to accurately store that graph information?
If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.
The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.
In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.
On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.
It would be difficult to represent multiple edges between two vertices using this data structure.
To learn more about matrix refer below:
https://brainly.com/question/22799167
#SPJ11
thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 135 millimeters, and a standard deviation of 5 millimeters. if a random sample of 42 steel bolts is selected, what is the probability that the sample mean would be greater than 135.4 millimeters? round your answer to four decimal places.
The probability that the sample mean exceeds 135.4 millimeters is approximately 0.1446.
You can use the central limit theorem to approximate the sample distribution of the sample mean.
The mean of the sample distribution is a rise to the population mean (135 mm)
the standard deviation of the test distribution is a rise to the population standard deviation isolated by the square root of the test measure, which is \(5/√42\) ≈ 0.7689 mm.
To find the probability that the sample mean is greater than 135.4 millimeters, use the sample distribution to standardize the sample mean and use the standard normal distribution. That is,
\(z = (x - μ) / (σ / √n) = (135.4 - 135) / (5 / √42) ≒ 1.0607\)
where x = sample mean, μ = population mean, σ =population standard deviation, n=sample size, and z =standard value.
The probability that the sample mean exceeds 135.4 millimeters can be found by using a standard normal distribution table or calculator,
to find the area to the right of the Z value of 1.0607. This range is approximately 0.1446 or 14.46%.
Therefore, the probability that the sample mean exceeds 135.4 millimeters is approximately 0.1446.
learn more about the central limit theorem
brainly.com/question/18403552
#SPJ4
ASAP☑️☑️
Can you guys help me please
Answer:
x = 9 , y =3
Step-by-step explanation:
-3x + y = 0 ---- 1
2x -2y = -12 -----2
By elimination method:
let's first eliminate x
we can do that by making x equal in both equations
multiply equation 1 by 2 ( because 2 is the coefficient of x in equation 2 and remember we want to equate both equations)
multiply equation 2 by -3 ( because -3 is the coefficient of x in equation 2 and remember we want to equate them both)
-3x + y = 0 ×2
2x -2y = -12 ×-3
-6x + 2y = 0 ----3
-6x + 6y = 36 -----4
subtract equation 4 from 3
that will give
0-4y = -36
which is
-4y = -36
divide both sides by coefficient of y which is-4
(-4y) ÷ (-4) = (-36)÷(-4)
answer : y= 9
substitute 9 for y in equation 1
-3x + y = 0
-3x + 9 = 0
subtract 9 from both sides
-3x +9-9= 0-9
-3x = -9
divide both sides by coefficient of x which is-3
(-3x)÷(-3) = (-9÷-3)
x = 3
Find the future amount at the end of two years for a $7000 investment that earns 7% at the end of each year
Answer:
$8,014.30
Step-by-step explanation:
Part A: Which of the functions represents an exponential function? What is the common ratio of that function? Explain.
Part B: What is the average rate of change for the function h(x) over the interval 2 ≤ x ≤ 4? Show your work or explain how you found your answer
Part A: An exponential function is one in which the variable appears in the exponent, such as f(x) = aˣ. The common ratio of an exponential function is the constant factor by which the function grows or decays.
For example, in the function f(x) = 2ˣ, the common ratio is 2 because each time x increases by 1, the output of the function doubles. Part B: To find the average rate of change for the function h(x) over the interval 2 ≤ x ≤ 4, we need to calculate the slope of the secant line between the two endpoints of the interval.
The formula for slope is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. So, we need to find h(2) and h(4) and plug them into the formula. Let's say that h(x) = 3x - 1. Then, h(2) = 5 and h(4) = 11.
Therefore, the slope of the secant line is (11 - 5)/(4 - 2) = 3.
The average rate of change for the function h(x) over the interval 2 ≤ x ≤ 4 is 3.
To know more about exponential function visit:-
https://brainly.com/question/14355665
#SPJ11
How do you find the angle of a slope?
The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.
What is the angle of the slope?The angle of slope shows the departure of your climb from the idealistic flat surface of the course (remember, it's an idealized flat surface that ignores elevation change). In order to figure this out, divide the increase by the run and then find the inverse tangent of the outcome.The angle between a horizontal plane and a specific location on the land surface is known as the slope angle (degree).The term "slope" describes the incline's angle or grade. You might have an upward or downhill slope. The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.To learn more about angle of slope refer,
https://brainly.com/question/28882561
#SPJ4
(7 — 2) - 10
Simplify each numerical expression
Answer:
-5
Step-by-step explanation:
7−2−10
=5−10
=-5
Answer:
-5
Step-by-step explanation:
You have to follow PEMDAS, so we would do parentheses, and 7-2 equals 5. Then we subtract 5-10 which equals -5.
given a normal distribution with mean of 50 and a standard deviation of 4, what is x value for the boundary for the lowest 2.5%?
The X value for the boundary for the lowest 2.5% of a normal distribution with a mean of 50 and a standard deviation of 4 is 43.04.
The lowest 2.5% boundary for a normal distribution with a mean of 50 and standard deviation of 4 can be calculated using the Z-score formula.
Z = (X - mean) / standard deviation
We want to find the X value for which Z = -1.96 since -1.96 represents the boundary for the lowest 2.5% of a standard normal distribution.
Plugging in the mean and standard deviation:
-1.96 = (X - 50) / 4
Solving for X:
X = 50 - 1.96 × 4
X = 43.04
So, the X value for the boundary for the lowest 2.5% of a normal distribution with a mean of 50 and a standard deviation of 4 is 43.04.
To know more about normal distribution, here
https://brainly.com/question/29509087
#SPJ4
Suppose you have an outdoor pool measuring 25 ft by 10ft . You want to add a cement walkway around the pool. If the walkway will be 1 ft thick and you have 304 ft³ of cement, how wide should the walkway be?
The area covered by the pool and the cement walkway is 304 square feet. The width of the walkway would be 5 feet
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be represent the width of the walkway.
The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway = 25+ x + x = 25 + 2x
The total width of the pool and the walkway = 10 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 304 square feet. This means that;
(25 + 2x)(10 + 2x) = 304
250 + 50x + 20x + 4x^2 = 304
4x^2 + 70x + 250 - 304 = 0
4x^2 + 70x - 54 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
Thus The width cannot be negative.
Therefore, the width of the walkway is 5 feet.
Learn more about rectangles here;
https://brainly.com/question/15019502
#SPJ1
Please hurry I will mark you brainliest
What is the slope of the line with an x-intercept of 4 and a y-intercept of -37
Step-by-step explanation:
Slope is \(\frac{rise}{run}\), so the slope is \(\frac{y}{x}\), which also equals \(-\frac{37}{4}\).
Can someone help with this?
Answer:
35
Step-by-step explanation:
There 3 sides of a triangle.There are three corners called verticals in a triangle.So you will need to add 62+45=107.The you need to divide.107/3=35.
Hope this helps you
Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
brainliest Plsssss
You are sick and your doctor prescribes a medication. One dose is 200 mg. Every hour 15% of the medication leaves the body. If you take the first dose at 6 am, how much medication is left at 11 am? Round to the nearest hundredths of mg and remember to include your label (mg).
The required amount of medication is left at 11 am is 89.37 mg.
How to left medicine if every hour 15% of the medication leaves the body?Every hour, 15% of the medication leaves your body, which means the amount of medication decreases by 15% every hour.
According to question:If you took a dose of 200 mg at 6 am,
at 7 am there would be 170 mg left, at 8 am there would be 144.5 mg left, at 9 am there would be 123.08 mg left,
at 10 am there would be 104.86 mg left, and at 11 am there would be 89.37 mg left.
To summarize, the amount of medication in your body decreases every hour as a result of the medication being metabolized and leaving the body. After 5 hours, the amount of medication left in your body would be approximately 89.37 mg. It's important to follow your doctor's instructions for taking the medication and to track any changes in your symptoms.
To know more about Percentage visit:
brainly.com/question/16797504
#SPJ1
A line parallel to y = x - 7
Answer:
y = x - 10, y = x, y = x + 1, y = x - 37,654,356, which are just a few examples
Step-by-step explanation:
There are infinite solutions to this, but one of them is y = x - 10. Just change the y-intercept in this equation, then you can see that the lines never touch, and are parallel, which is what we want.
Peter built a chest that measures 2 feet by 11
2
feet by 1 foot. He wants to fill the chest with plastic coins.
A prism has a length of 2 feet, height of 1 foot, and width of 1 and one-half feet.
What is the maximum amount of space that the chest can hold?
The maximum amount of space is
cubic feet.
Answer:
3
Step-by-step explanation:
got it on edge
can i please get some help here its math
suppose that 23.4% of car engines will fail if they have not had routine maintenance in the past five years. if routine maintenance is given to 22 cars, what is the probability that exactly 10 will not have engine failure? round your answer to six decimal places.
The probability that exactly 10 out of 22 cars receiving routine maintenance will not have engine failure is approximately 0.221
We can model this situation using a binomial distribution, where,
The probability of success (an engine not failing) is p = 1 - 0.234 = 0.766 (assuming routine maintenance reduces engine failure).
The number of trials is n = 22 (the number of cars receiving routine maintenance).
We want to find the probability of getting exactly k = 10 successes (cars without engine failure).
The formula for the probability mass function of a binomial distribution is:
P(k successes) = (n choose k) × p^k × (1 - p)^(n - k)
where (n choose k) = n! / (k! × (n - k)!) is the number of ways to choose k items from a set of n items.
Plugging in the values, we get
P(10 successes) = (22 choose 10) × 0.766^10 × 0.234^12
≈ 0.221
Learn more about probability here
brainly.com/question/11234923
#SPJ4
1 euro = $1.09 $1= 62 rupees Change 400 euros into rupees using these exchange rates.
Answer:
27,032 Rupees
Step-by-step explanation:
$1.09 x 400 = $436
$436 x 62 = 27,032
(Hope this helps and that it's not wrong ^-^)
Find the volume of the prism.
7 m
20 m
26 m
Randall invests $5800 in two different accounts. The first account paid 6 %, the second account paid
4 % in interest. At the end of the first year he had earned $326 in interest. How much was in each
account?
Answer:
Нищо незням ама не лига да ви помогна
How many 4-digit positive integers exist that satisfy the following conditions:
(A) Each of the first two digits must be 1, 4, or 5, and
(B) the last two digits cannot be the same digit, and
(C) each of the last two digits must be 5, 7, or 8?
There are 7290 4-digit positive integers that satisfy the given conditions.
We have,
To determine the number of 4-digit positive integers that satisfy the given conditions, we need to count the possibilities for each condition and then find their intersection.
Condition (A):
Each of the first two digits must be 1, 4, or 5.
Since there are 3 choices for each of the first two digits, there are
3 x 3 = 9 possibilities for condition (A).
Condition (B):
The last two digits cannot be the same digit.
There are 10 choices for the first digit, and for each of these choices, there are 9 choices for the second digit (excluding the chosen digit). Therefore, there are 10 x 9 = 90 possibilities for condition (B).
Condition (C): Each of the last two digits must be 5, 7, or 8.
There are 3 choices for each of the last two digits, resulting in 3 x 3 = 9 possibilities for condition (C).
To find the total number of 4-digit positive integers satisfying all three conditions, we multiply the possibilities for each condition together:
9 x 90 x 9 = 7290
Therefore,
There are 7290 4-digit positive integers that satisfy the given conditions.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
Estimate the square root to the nearest integer.
Answer:
9.5
Step-by-step explanation:
Mark brainlyist please I've already done this before
Which information is not sufficient to prove that a parallelogram is
a square?
(1) The diagonals are both congruent and perpendicular.
(2) The diagonals are congruent and one pair of adjacent sides are
congruent.
(3) The diagonals are perpendicular and one pair of adjacent sides
are congruent.
4) The diagonals are perpendicular and one pair of adjacent sides
are perpendicular.
BE
The information that is not sufficient to prove that a parallelogram is a square is an option (3) The diagonals are perpendicular and one pair of adjacent sides are congruent.
A parallelogram is a quadrilateral with two pairs of parallel sides. A quadrilateral is a four-sided polygon. A square is a quadrilateral with four sides of equal length and four right angles. So, the opposite sides of a square are parallel and congruent and all four angles are equal to 90 degrees.
A square is a special type of parallelogram in which all four sides are equal in length and all four angles are equal to 90 degrees. We can prove a parallelogram is a square by using the following statements:
(1) The diagonals of a square are both congruent and perpendicular.
(2) If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
(3) If one pair of opposite sides of a parallelogram are parallel and congruent, then the parallelogram is a rhombus.
(4) If the diagonals of a rhombus are perpendicular, then the rhombus is a square.
Thus, we can conclude that option (3) The diagonals are perpendicular and one pair of adjacent sides are congruent is not sufficient to prove that a parallelogram is a square.
You can learn more about parallelograms at: brainly.com/question/28854514
#SPJ11
for the function y= -2+5 sin [pi/12(x-2)], what is the maximum value
Answer:
The answer is 0. There is no minum or maxium vaule, it equals 0.
Step-by-step explanation: