Answer: s = 16
Step-by-step explanation:
234 = (s+2)(s-3)
s = 16, -15 (throw away -15, measurements cannot be negative)
This can be proven by substituting s for 16
234 = (16+2)(16-3)
234 = 18*13
234= 234
Hope this helps! Pls give brainliest :)
ANSWER DIS PLS DONT BE PUTTING RANDOM ANSWERS
Answer:
I'm not sure but I guess I will go with A.
Step-by-step explanation:
I am so sorry if you keep seeing me ask for help
Answer:
67°-------------------
Given three interior angle measures of a triangle:
38°, 75° and xUse the triangle sum theorem to find the missing angle:
38 + 75 + x = 180x + 113 = 180x = 180 - 113x = 67So the missing angle is 67°.
find an equation of the line tangent to the curve at the point corresponding to the given value of t. x=t^2-23, y=t^3 + t; t=5
The equation of the line tangent to the curve at the point corresponding to the given value of t.
x = t²-23 and y = t³ + t, at t = 5 is
38x - 5y + 574 = 0
Given, a curve with the points represented by
x = t²-23 and y = t³ + t, at t = 5
we have to find an equation of the line tangent to the curve at the given point on the curve.
so, the given point is (x , y) = (5² - 23 , 5³ + 5)
(x , y) = (2 , 130)
Now, the slope of the curve at that point be,
dy/dx = (3t² + 1)/(2t)
dy/dx = 76/10
Now, on using the slope-intercept form, we get
(y - 130)/(x - 2) = 38/5
5(y - 130) = 38(x - 2)
5y - 650 = 38x - 76
38x - 5y + 574 = 0
Hence, the equation of the line tangent to the curve at the point corresponding to the given value of t.
x = t²-23 and y = t³ + t, at t = 5 is
38x - 5y + 574 = 0
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Equation to find Rectangular surface Area of a 9ft long and 3 ft wide table
The equation to find the rectangular surface area of a 9ft long and 3ft wide table is: Surface Area = Length x Width = 27 square feet
The rectangular surface area of an object can be calculated by multiplying its length and width. In this case, the object is a table that is 9 feet long and 3 feet wide. The equation to calculate the rectangular surface area of the table is simply the product of its length and width. By substituting the given values into the equation, we can find that the rectangular surface area of the table is 27 square feet. This means that the total area of the table's top surface is 27 square feet, which can be useful information for determining things like how much tablecloth is needed to cover the table.
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Write A=[ 1 1 0 3 ] as XꓥX −1. Multiply Xe ꓥtX −1 to find the matrix exponential e At. Check e At and the derivative of e At when t = 0
We need to identify a matrix X such that X1AX is in diagonal form in order to write A=[1 1 0 3] as XX1. One option is:
X = [1 1 1 0; 1 1 -1 0; 0 0 0 1; 1 -1 0 0]
Then, X⁻¹ = (1/4)[-1 1 -1 3; 1 1 1 -1; 0 0 0 4; -1 1 1 1]
X⁻¹AX = [5 0 0 0; 0 -1 0 0; 0 0 0 0; 0 0 0 -2]
A = X[5 0 0 0; 0 -1 0 0; 0 0 0; 0 0 0 -2] so.X⁻¹.
We must exponentiate each block of the diagonal matrix in order to determine eAt, so:
X[e5t 0 0 0; 0 e-t 0 0; 0 0 1 0; 0] = eAt
eA0 = X[e0 0 0 0; 0 e0 0 0; 0 0 1 0; 0 0 0 e0]X⁻¹
= X[I]X⁻¹
= AA⁻¹
= I
To find the derivative of eAt at t=0, we can use the formula:
d/dt(eAt)|t=0 = AXe0X⁻¹
= AXIX⁻¹
= A
Therefore, we have eA0 = I and d/dt(eAt)|t=0 = A.
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Write the set of all real numbers except 100 in set-builder notation.
The set-builder notation is {x||
In set builder notation, if we assume that x is a variable, then the set of all real numbers other than 100 is: where the first x is the variable.
It's the one with the R in the middle, which is the numerical representation. This is a place where only integers and decimals are acceptable.
As conclusion, let's focus on the third, which acts as a limit. We're looking for non-zero real numbers below 100.
This is further explained below.
Write the set of all real numbers except 100 in set-builder notation.?Generally,
In set builder notation, the set of all real numbers other than 100 is represented as follows (it is assumed that the variable to be used is x): The very first x stands for the variable.
The second, which begins with an R, is the representation of the number. In this context, only real numbers will do
.
In conclusion, the third factor is the limitation. We are interested in all actual numbers other than 100.
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HelppppppppPppppppppppp
Answer: Hello sorry i read the question wrong at first. but the answer id relation 1, 2 and 3.
Step-by-step explanation: all inputs (x) have to have different outputs (y) :)
please help
Express the following relationship as a rate. This time, the rate should be minutes per page.
Reading 30 pages in 10 minutes
1/3 minute per page
1/3 hour per page
3 minutes per page
30 minutes per page
Answer:
1/3 minute per page
Step-by-step explanation:
it takes 10 minutes to read 30 pages right?
So, that means it takes 1 minute to read 3 pages.
Divide by three to get 1/3 Minute to read one page.
1. The campus demographics state that 40% of the students are male. If there are 300 students, how many are male?
Answer:
120 males
Step-by-step explanation:
Well you need to set up your proportions which should look like this x/300 and 40%/100%.You need to cross multiply meaning you need to multiply 300 and 40 which equals to 12,000 then you will divide 12,000 by 100 and get 120
A contracting company rents a generator for 6 hours and a heavy duty saw for 6 hours total cost of $48 for another job the company rents the generator for 4 hours and the saw for 8 hours for a total cost of $40 find the hourly rates
Answer:
the hourly rates are $8 and $10 respectively
Step-by-step explanation:
Given that
The generator rents for 6 hours and the total cost is $48
And, for another job The generator rents for 4 hours and the total cost is $40
We need to find out the hourly rates
For the first one
= $48 ÷ 6 hours
= $8
For the second one
= $40 ÷ 4 hours
= $10
Hence, the hourly rates are $8 and $10 respectively
Circle U is shown with points X and Z on the circle and secant segments XY and ZY intersecting at point Y outside the circle.
XY= 3x+6
ZY= 10X
Based on the given information and the secant-Secant Theorem, we have derived the equation (XY * XZ) = (10X * 10X).
Given that Circle U has points X and Z on the circle, and secant segments XY and ZY intersect at point Y outside the circle, we will use the following terms in our answer: Circle, Secant Segments, Intersection, and Ratio.
Step 1: Identify the segments involved.
We have two secant segments intersecting at point Y: XY and ZY.
Step 2: Apply the secant-secant theorem.
According to the secant-secant theorem, the product of the lengths of the segments from the intersection point to the points on the circle should be equal. In other words, (XY * XZ) = (ZY * ZY).
Step 3: Apply the given ratio.
We are given that ZY = 10X. Let's substitute this into the equation from Step 2: (XY * XZ) = (10X * 10X).
Step 4: Solve for XY and XZ.
Now, we need to solve for XY and XZ using the equation from Step 3. However, since we only have one equation and two variables, we cannot solve it completely. We need more information to find the specific values of XY and XZ.
Based on the given information and the secant-secant theorem, we have derived the equation (XY * XZ) = (10X * 10X). To find the specific values of XY and XZ, additional information is required.
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What is the slope of a line perpendicular to the line whose equation is 3x+18y=108.
The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).
We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.
Given a line 13x + 18y=108, this slope intercept form can be written as,
3x + 18y = 108
18y = 108 - 3x
y = (108 /18) - (3/18)x.
y = (6) - 1x/6.
y = -(1/6)x + 6.
Hence the slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).
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Consider the equation 2/5y = 20. Tell whether each statement is true or false
a. You can solve the equation by multiplying both sides by 5/2
b. You can solve the equation by dividing both sides by 2/5
c. The equation has the same solution as 5/2y = 20
d. The equation has the same solution as 4/5y = 40
Hurry please!!
Answer:
A. True
B. False
C. False
D. True
Step-by-step explanation:
#a
True
2/5×5/2=1 hence you can use it#b
False
2/5×2/5=4/25 you can't use it#c
False
#d
Let's check
2/5y×2=20=24/5y=40True
Problem 2. (15 pts) Find an equation relating the real numbers a, b, and c so that the linear system
x + 2y −3z = a
2x + 3y + 3z = b
5x + 9y −6z = c
is consistent (i.e., has at least one solution) for any values of a, b, and c satisfying that equation.
There is no real number solution to this equation. Therefore, it is not possible to find an equation relating a, b, and c that guarantees the given linear system to be consistent for any values of a, b, and c.
To ensure that the given linear system is consistent for any values of a, b, and c, we need to find an equation that guarantees the existence of a solution.
This can be achieved by setting up a condition on the coefficients of the system such that the determinant of the coefficient matrix is zero.
Let's consider the coefficient matrix A:
A = [[1, 2, -3],
[2, 3, 3],
[5, 9, -6]]
We want to find an equation relating a, b, and c such that the determinant of A is zero.
det(A) = 0
Using the properties of determinants, we can expand the determinant along the first row:
det(A) = 1 * det([[3, 3], [9, -6]]) - 2 * det([[2, 3], [5, -6]]) + (-3) * det([[2, 3], [5, 9]])
Simplifying further, we have:
det(A) = 1 * (3*(-6) - 39) - 2 * (2(-6) - 35) + (-3) * (29 - 3*5)
det(A) = -54 + 2*(-12) - 3*3
det(A) = -54 - 24 - 9
det(A) = -87
Setting the determinant equal to zero, we get:
-87 = 0
However, there is no real number solution to this equation. Therefore, it is not possible to find an equation relating a, b, and c that guarantees the given linear system to be consistent for any values of a, b, and c.
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Please help me ASAP!!
D (b,c)
\C (a,0),
A(-.-)
B
What is the perimeter of the hexagon?
Answer:
D
Step-by-step explanation:
buohcuihefjejfkjkclhfvujhfjvnkljsfnvnfuhvnkk j bljfvnk nvn fv bvkjnfn vn hbfvkjbdvn vhbvfj hbf fd vdkjkfnvkjdnjvn df jb j bn bfkjbs jsb
A recipe for chocolate chip cookies called for 2/3 cup of flour if i want to travel the recipe how much flour will i need
If you want to travel the recipe to make a smaller batch of 12 cookies, you would need 1/3 cup of flour, for preparing the chocolate chip cookies.
If a recipe for chocolate chip cookies calls for 2/3 cup of flour, then if you want to triple the recipe, you would need 2/3 x 3 = 2 cups of flour.
However, if you want to travel the recipe, meaning reduce the recipe to make a smaller batch, then you need to know the ratio of the ingredients.
For example, if the original recipe made 24 cookies, and you only want to make 12 cookies, then you would need to reduce all of the ingredients by half.
Since the recipe calls for 2/3 cup of flour to make 24 cookies, to make 12 cookies, you would need:
2/3 cup flour
x 1/2 = 1/3 cup of flour
So, if you want to travel the recipe to make a smaller batch of 12 cookies, you would need 1/3 cup of flour.
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In a given country, the average price of a gallon of unleaded gasoline in 1995 was $2.54. In 2010, the average price was $3.18. Find and interpretThe average rate of change in the price of a gallon of gasoline per year. The average rate of change is $ ___ per year.(Type an integer or a decimal. Round to the nearest cent as needed.)
The rate of change is found using the slope formula
m = ( y2-y1)/(x2-x1)
We have two points
( 1995, 2.54) ( 2010, 3.18)
m = (3.18-2.54) / (2010-1995)
=.64/15
$.042666666 per year
Rounding to the nearest cent
$.04 per year
We know that the price went up from 1995 to 2010 so the price increased
It increased an average of $.04 each year
A. The price of a gallon of gasoline increased by an average of $_.04__ per year from 1995 to 2010
The sum of three consecutive even numbers is 108. Write and evaluate an expression in terms of x to determine the smallest of the three numbers. Include parentheses in your expression.
Answer:
\(34\)
Step-by-step explanation:
Let the first number be \(x\)
The next number be \(2\) more than the previous as it is an even number
The second number is \(x+2\)
and the last number is \(x+4\)
The sum of the numbers is \(108\), so the expression will be
\(x+(x+2)+(x+4)=108\)
\(\Rightarrow 3x+6=108\)
\(\Rightarrow x=\dfrac{108-6}{3}\)
\(\Rightarrow x=34\)
The smallest of the three numbers is \(34\).
helppppppppp plsssssssssssssssssss
In a group of 101 students 40 are juniors, 50 are female, and 22 are female juniors. Find the probability that a student picked from this group at random is either a junior or female.
a) 90/101
b) 22/101
c) 68/101
d) 40/101
Answer:
I would say A. as a best guess but the question is odd it does not add up to 101 students it adds up to 101 plus all of them are female juniors so they would be picked every time it would be 101/101
Element X decays radioactively with a half life of 15 minutes. If there are 400 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 87 grams?
Answer:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
The radioactive decay of a substance is given by the following formula:
Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:
Therefore the mass of the element is given by:
If the initial mass is 760 g and the final mass is 15 g, we have:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
Element X take 32.6 minutes to decay to 87 grams.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Element X decays radioactively with a half life of 15 minutes.
And, there are 400 grams of Element X.
Now, By the given information, we can formulate;
⇒ \(y = x (0.5)^{t/h}\)
Substitute all the values we get;
⇒ 400 = 87 × \((0.5)^{t/15}\)
⇒ 400 / 87 = \((0.5)^{t/15}\)
⇒ 4.6 = \((0.5)^{t/15}\)
Take log both side,
⇒ ln 4.6 = t/15 (ln 0.5)
⇒ 1.52 = t/15 x 0.7
⇒ t = 32.6 minutes
Thus, Element X take 32.6 minutes to decay to 87 grams.
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American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:
a. No, because the population distribution is skewed. b. No, because the sample size is less than 30. c. No, because the empirical rule is violated.
Therefore, probability solution is estimating this likelihood without additional data or analysis is inappropriate correct response is option a.
What exactly does the probability entail?The main goal of the mathematical branch known as statistical inference is to estimate the likelihood that a statement is accurate or that a particular event will take place. Any number among 0 and 1, where 1 typically denotes confidence and 0 typically denotes possibility, can be used to symbolise chance. A probability diagram illustrates the likelihood that a particular occurrence will take place.
Here,
Because of the skewed demographic distribution, the right response is (a).
We could use the normally distributed to compute probabilities because the length of adult American ladybirds is distributed normally with a known standard deviation. The normal distribution may not, however, correctly depict the distribution of ladybird lengths in the population due to the skewed population distribution.
Furthermore, even if the difference between the actual community mean and the assumed mean of 1 cm is tiny, the given size of the population of 440000 could result in a statistically significant outcome.
However, because the assumption of normality may not hold true, this does not imply that we can accurately determine the likelihood of a random ladybird in Raleigh being larger than 1.5 centimetres.
Therefore, estimating this likelihood without additional data or analysis is inappropriate.
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5 cups equals how many pints and cups
Answer:
5 cups is 2.5 pts
Step-by-step explanation:
cups pts
5.00 2.5
5.01 2.505
5.02 2.51
5.03 2.515
PLEASE PLEASE PLEASE HELP(attached image)
Answer:
The answer is D.
Step-by-step explanation:
Test each multiply choice to see if given the x-axis points.
(x+1)(x+2)(x-3)=0
(x+1) = 0 , (x+2) = 0 , (x-3) = 0
x = -1 , x = -2 , x = 3
(-1 , 0) , (-2 , 0) , (0 , 3)
1,221 kids signed up for summer baseball. If the league has 32 teams and split the kids up evenly among the teams, how many kids would be placed on each team? Select the best response from below.
Answer:
38 kids on each team about.
I am Not 100% sure but I hope this Helps!
So D.
what’s the answer ???
The reasons for the steps are ;
step1 ; collect like terms
step2 : dividing both sides by 6
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
For example , in an equation 6x +5x = 3x + 24 , to find x in this equation we need to follow some steps;
First we collect like terms
6x +5x - 3x = 24
8x = 24
then we divide both sides by the coefficient of x
x = 24/8
x = 3
Similarly , solving 18 - 2x = 4x
collect like terms
18 = 4x +2x
18 = 6x
divide both sides by coefficient of x
x = 18/6 = 3
x = 3
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how many different ways can 3 people from england, 2 people from california, and 4 people from mexico randomly sit down in adjacent seats at a concert?
There are a total of 3! x 2! x 4! = 288 different ways that the 3 people from England, 2 people from California, and 4 people from Mexico can randomly sit down in adjacent seats at a concert. To explain this, we can use the concept of factorials.
Factorials (denoted with an exclamation mark, like 3!) are the product of a number and all numbers below it. So 3! = 3 x 2 x 1 = 6.
Using this concept, we can calculate the total number of possible seating arrangements in this situation. The 3 people from England have 3 possible seating arrangements, the 2 people from California have 2 possible seating arrangements, and the 4 people from Mexico have 4 possible seating arrangements. This means that there are 3! x 2! x 4! = 288 different ways they can sit down in adjacent seats at a concert.
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Given h(x) = -x -4, find h(-6).
Answer:
2
Step-by-step explanation:
h ( x ) = - x - 4
To find : h ( - 6 )
h ( - 6 ) = h ( x )
Here,
x = - 6
h ( - 6 ) = - x - 4
= - ( - 6 ) - 4
= 6 + 4
h ( - 6 ) = 2
Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.
StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answer:
(c) multiplication property of equality
Step-by-step explanation:
Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.
a square field has an area of 4823m²(show your work! )
Answer:
69.45 m to the nearest hundredth.
Step-by-step explanation:
I guees you want the length of one side.
A square has 4 sides of equal length and the area = s^2 where s = length of each side.
So the length of a side of a square of area 4823
= √(4823)
= 69.4478 m.