Answer:
(48, 3), (80, 5), (160, 10)
1/5 and 5/6
what number could be a common denominator for these two fractions:
if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
Mitchell plans to use ASA to prove that two triangles made from a rectangular piece of wood are the same. Which diagram would support his plan to use ASA?
the Diagram that would support his plan to use ASA is either option A and Option B.
What is the congruent triangle?Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.
The Corresponding portions of Congruent triangles are the complete form of CPCT. Triangles may be shown to be congruent after which the final dimension can be anticipated without actually measuring the triangle's sides and angles. The following are many congruency rules.
SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)RHS (Right angle-Hypotenuse-Side)Since All triangles given in the options are congruent we need to find which pair of triangles are supposed to be congruent by the property of ASA.
From ASA:
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and the side included between the angles of the second triangle.
Therefore, Either Option A or Option B is the Diagram that would be supportive of his intention to utilize ASA.
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BRANLIEST and point for best answer
Kenny wakes up at 8:00. He visits a friend at half past 10:00. He goes to the playground at 1:00
Kenny
Answer:
so how many minutes? 750
Step-by-step explanation:
5x+3x+2y+4y (simplify)
Answer:
Combine like terms:
(5x + 3x) (2y + 4y)
8x + 6y is your algebra expression.
50 students in a class were asked at the beginning of the week what they did at the weekend. 18 read their books, while 28 watched films, and 7 neither read their books nor watched films. How many students both read their books and watched films?
Answer:
so 3 people both read their books and watched films.
Step-by-step explanation:
n(U) = 50
n(A) = 18 ( read books)
n(B) = 28 ( watched films)
n(A U B) with a line at the top = 7
so
Finding n(AUB)
n( A U B) with a line at the top = n(A) + n(B) - n( A n B)
7 = 50-n(A U B)
or, n( A U B) = 50 - 7
so, n(A U B) = 43
Then
n( A U B) = n(A)+n(B)-n(A n B)
43 = 18 + 28 - n( A n B)
or, 43 = 46 - n(A n B)
or, n(A n B) = 46 - 43
so, n(A n B) = 3
Two friends, Nayeli and Aiden, had just bought their first cars. The equation
Y = 22.8x represents the number of miles, y, that Nayeli can drive her car for every
x gallons of gas. Aiden uses 5 gallons of gas to drive 210 miles in his car.
How many miles less does Nayeli's car travel on one gallon
of gas than Aiden's car?
Nayeli drives 42- 22.8 = 19.2 miles less than Aiden's car in 1 gallon of gas. using linear equations.
What is System of linear equation ?The value of x = 3 for y = 9 is a solution of the linear equation -4x = y - 21.
What is a Linear Equation ?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.
Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalises the two sides of the equation.
A specific point on the graph represents the solution of a linear equation in two variables, ax+by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b.
Basically, there are infinitely many solutions to a linear equation with two variables.
Here for Nayeli,
Y = 22.8x
where Y is the number of miles X is the number pf gallons of gases
Aiden can drive 210 miles in 5 gallons so in 1 gallon of gas
he can drive 210/5 = 42 miles
Nayeli can drive 22.8*1 = 2.8 miles in 1 gallon.
Nayeli drives 42- 22.8 = 19.2 miles less than Aiden's car in 1 gallon of gas.
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factorize 16a4+4a2b2+b4
Answer:
16a^4 + 4a^2* b^2 + b^4
4a^2 ( 4a^2+b^2)+b^4
4a^2 (2a+b+b)^2 +(b^2)^2
4a^2 ( 2a+b+b^2)^2-4ab^2
4a^2-4ab^2(2a+b+b^2)
4a(a-b^2) (2a+b+b^2)
A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball’s height, h, at time t seconds is h = -3.2t^2 + 54.4t + 268.8. When will the ball strike the ground?
Answer:
7.41
Step-by-step explanation:
Vertical component:
S = 268.8
U = 0
V =?
A = 9.8
T=?
S = ut + 0.5at^2. u = 0
268.8 = 0.5x9. 8xt^2
T = 7.41 seconds
Answer:
4.42 seconds is the correct answer
Step-by-step explanation:
Use the following function to answer the questions please-the function is F(x)=0.75(2^x)-5
,please answer all questions only if you know the answer please appreciate it. I need this to pass.
Answer:
y= 0. y is where the line crosses the y axis.
x intercept is a point on the x axis where the line
crosses the x axis.
don't have one for the third is there a graph? Or do you have more pictures of the question?
A plastic page designed to hold trading cards will hold up to 8 cards. How many pages will be needed to store 583 cards? Give an appropriate counting number answer to the question. (Find the least counting number that will work.)
The number of pages that would be needed to store 583 cards is (blank).
Answer:
73 pages
Step-by-step explanation:
You want the number of pages required to hold 583 cards when each page will hold 8.
Least integerThe number of pages required is ...
(583 cards)/(8 cards/page) = 72 7/8 pages
The least integer greater than this number is 73
The number of pages needed to store 583 cards is 73.
What is the application of inverse matrix?
Answer:
The inverse matrix is used to solve the system of linear equations. It also tells us the consistent or inconsistent behaviour of the solution of equations.
Step-by-step explanation:
In real life,
Whereas in programming which is taught at the university, matrices and inverse matrices are used for coding and encrypting messages. Matrices are also used in representing the real world data's like the population of people, infant mortality rate, etc. They are best representation methods for plotting surveys.In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is ok. Among 810 airport baggage scales, 102 are defective (based on data from the NY Department of Consumer Affairs). If four of the scales are randomly selected and tested, what is the probability that the entire bath will be accepted
Answer:
\(X \sim Hyp (N = 810, M=102, n=4)\)
\( P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}\)
And solving we got:
\( P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583\)
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
\(X \sim Hyp (N = 810, M=102, n=4)\)
\(P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}\)
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:
\( P(X=0)\)
And using the probability mass function we got:
\( P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}\)
And solving we got:
\( P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583\)
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
among the 1173 respondents 79 said that a bended knee is corny and outdated. what percentage of respondents said that a bended knee is corny and outdated
Answer:
7.77777 %
Step-by-step explanation:
79/1173 = 7.77777 % the decimal is continued
Step-by-step explanation:
79/1173 × 100
=6.7%
Therefore, 6.7% said that a bended knee is Corny and Outdated
Need help on this question pls help!!!!!!!
If he saves $50 a week , about how many months will it take to have enough to buy the motorcycle
Answer:
Step-by-step explanation:
There is not enough info.
But you would take-
price of the motorcycle=50(x) x is the number of months. I can't give the exact amount without the price of the bike.
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.54 and a standard deviation of 0.44 . Using the empirical rule, what percentage of the students have grade point averages that are between 2.1 and 2.98 ?
Using the Empirical Rule, 68% of the students have grade point averages that are between 2.12 and 2.98.
What is a standard deviation?The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a larger range.
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
For this problem, we have that:
2.55 - 0.43 = 2.12.
2.55 + 0.43 = 2.98.
Hence 68% of the students have grade point averages that are between 2.12 and 2.98.
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what is the graph of f(x) = 5(2)^x
The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.
The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.
As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:
When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).
As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.
For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.
The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.
Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.
The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.
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The product of two numbers is 155952. If one number is 342, find the other
number.
Answer:
456
Step-by-step explanation:
Product means an answer derived from multiplication. Therefore, if the product is 155952, and one value is 342, then the following equation is true:
342x = 155952, or 342 * x = 155952
Divide 155952 by 342 to get: 456.
Check the work in the equation:
342(456) = 155952
155952 = 155952, which is true, so the answer is 456.
If I helped, please make this answer brainliest! ;)
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
At what point(s) does the parabola, y=x2−2, intersect the line, y=−x?
C. (-2, 2) and (1, -1)
What is the intersection of two graphs?Since the point of intersection is the sole location where the two graphs come together, the coordinates of that location provide the answer to the equations involving the two variables. There are no solutions when the graphs are in parallel.
Given, the parabola Y = X² -2 and a line Y = -X. To find the intersection points of this graph we need to compare these equations.
Let's put the value of y in equation 1
- X = X² - 2
X² + X - 2 = 0
The factor of this quadratic equation is -2 and 1. Therefore the coordinate in which both graphs will intersect is (-2, 2) and (1, -1). I am attaching an image for better understanding.
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please help please..
Answer:
first option
Step-by-step explanation:
integers are like whole numbers but can also be negative
Answer:
A
Step-by-step explanation:
Which has a greater average rate of change over the interval where -1≤x≤3; the function
g(x)=x²+6x or the function f(x) = 2*. Provide justification for your answer.
Answer: Step-by-step explanation:
To find the average rate of change of a function over an interval, we can use the following formula:
average rate of change = (y2 - y1)/(x2 - x1)
Where x1 and x2 are the values of x at the beginning and end of the interval, and y1 and y2 are the corresponding values of the function at those points.
In this case, we are asked to compare the average rate of change of the functions g(x) and f(x) over the interval where -1≤x≤3.
For the function g(x) = x²+6x, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:
average rate of change = (g(3) - g(-1))/(3 - (-1))
= (9 + 18 - (1 - 6))/(4)
= 27/4
= 6.75
For the function f(x) = 2, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:
average rate of change = (f(3) - f(-1))/(3 - (-1))
= (2 - 2)/(4)
= 0
Since the average rate of change of the function g(x) is greater than the average rate of change of the function f(x), the function g(x) has a greater average rate of change over the interval where -1≤x≤3.
I hope this helps clarify the comparison of the average rate of change for these two functions. Do you have any other questions?
1/2 (2x + 5) = 3/4 (x + 1) + 5/2 show your work!!:)
Answer: 0
Step-by-step explanation:
1/2(2x+5)=3/4(x+1)+5/2
distribute 1/2 to 2x and 5
distribute 3/4 to x and 1
1/4x+5/2=5/2
subtract 5/2 to 5/2
1/4=0
multiply 1/4 by the reciprocal
4/1*1/4=0*4/1
Answer= 0
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
Please help I will give brainiest answer
Answer:
The missing exponent is 0
Step-by-step explanation:
The reason is because there is no x at the end of the equation. This means that x must have been 0 for it to not be there.
? x 7 Tenths = 56 tenths
Answer:
8
Step-by-step explanation:
Click on the measurement of the angle.
A furnace is designed to heat a 10,000 cubic feet of space. Will this furnace be adequate for a 1,400 square foot house with a 9foot ceiling.
To determine whether the furnace will be adequate for a 1,400 square foot house with a 9-foot ceiling, we need to calculate the volume of the house and compare it to the volume the furnace is designed to heat.
The volume of the house can be found by multiplying the square footage by the ceiling height:
1,400 sq ft x 9 ft = 12,600 cubic feet
Since the furnace is designed to heat 10,000 cubic feet, and the house has a volume of 12,600 cubic feet, the furnace may not be adequate for heating the house. The furnace is not capable to heat the entire house.
use a number line to solve 5+7