Answer:
x = 1.5
Step-by-step explanation:
Here, we want to get what x is
To arrive at the answer for x, we are going to use an important circle theorem equation
We have this as;
lh^2 = lj * lk
from the question;
lh = 1
lj = 0.5
lk = (0.5 + x)
Thus;
1^2 = 0.5(0.5 + x)
1 = 0.25 + 0.5x
0.5x= 1-0.25
0.5x= 0.75
x = 0.75/0.5
x = 1.5
Put all equations into y= and see which have matching graphs.
Answer:
I don't see any equations.
Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
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Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6
Pleas help me see image below (math)
Answer:
8√2
Step-by-step explanation:
Notice that this is a 45-45-90 triangle (isosceles right triangle). This type of triangle has a property where the ratio between side lengths is x : x : x√2, where x√2 is the measure of the two equal legs and is the measure of the hypotenuse.
Since we know the measure of one of the smaller legs is 8, then we can set x in the ratio to 8 --> 8 : 8 : 8√2
Thus, the length of BC (hypotenuse) is 8√2
help please im using my all out attack
you have a calculator on your tabs .,.
Answer:
Use fraction multiplication
Step-by-step explanation:
It isn't to hard just lok at some notes and don't let a calculaotr mess you up.
Add to the starting height or use slope, y-mx+b
identify the value of f(x) and x from the given coordinates
Answer:
1
Step-by-step explanation:
For function f(x), the average rate of change from x = a to x = b is:
average rate of change = (f(b) - f(a))/(b - a)
Here we have:
f(a) = f(-3) = -2.88
f(b) = f(2.5) = 2.62
average rate of change = (2.62 - (-2.88))/(2.5 - (-3)) = 1
is anyonee uppppppp or is it just me
whats 4 + 4 because i dont know
Answer:
8
Step-by-step explanation:
4+4
8
You can rewrite it as
2+2+2+2
8
Explain why the set of natural numbers {1,2,3,4,...} and the set of even numbers {2, 4, 6, 8, . . .} of positive even numbers
The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.
About the setsTwo important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.
The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.
Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.
Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}
On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.
Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.
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[(8 x 10-3) x (0.0002)
Answer:
Step-by-step explanation:
0.0154, I think, I apologize if this is wrong.
need help asap will give brainly
Answer:
#7 I think is A
Step-by-step explanation:
We are interested in the activity diagram. Check all the correct
answers.
Please select at least one answer.
O a. There can be multiple end points, but only one starting
point.
O b. Any joint must hav
The correct statements regarding activity diagrams are:
a. There can be multiple end points, but only one starting point.
c. A branch can have multiple incoming arrows.
d. A decision point may have more than 2 outgoing arrows.
e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.
f. An activity can be nested within another activity.
Activity diagrams are graphical representations used in software engineering to depict the flow of activities or actions within a system. The correct statements regarding activity diagrams are as follows:
a. There can be multiple end points, but only one starting point:
Activity diagrams typically illustrate the flow of activities from a single starting point to multiple end points. This allows for depicting different termination points in the system's behavior.
c. A branch can have multiple incoming arrows:
A branch in an activity diagram represents a decision point where the flow of activities can diverge. It is possible for multiple incoming arrows to converge at a branch, indicating different paths leading to the decision point.
d. A decision point may have more than 2 outgoing arrows:
A decision point in an activity diagram represents a condition or a decision that determines the subsequent flow of activities. It is possible for a decision point to have more than two outgoing arrows, indicating different paths based on the decision outcome.
e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions:
In an activity diagram, if the subsequent activities following a certain action have conditions that are not mutually exclusive, it creates an indeterminacy. This means that multiple paths may be followed simultaneously based on the different conditions.
f. An activity can be nested within another activity:
Activity diagrams support the nesting of activities within each other. This allows for representing complex activities or sub-processes within a larger activity, providing a hierarchical structure to the diagram.
In conclusion, the correct statements regarding activity diagrams include multiple end points and a single starting point, the possibility of multiple incoming arrows at a branch, the presence of more than two outgoing arrows at a decision point, the creation of indeterminacy with non-mutually exclusive conditions, and the ability to nest activities within one another.
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We are interested in the activity diagram. Check all the correct answers.
Please select at least one answer.
O a. There can be multiple end points, but only one starting point.
O b. Any joint must have been preceded by a branch.
O c. A branch can have multiple incoming arrows.
O d. A decision point may have more than 2 outgoing arrows.
Oe. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.
Of. An activity can be nested within another activity.
if the probability of events is 2/7 what must be the complement ?
If the probabilty of Event E is p, then,
the probability of Complement of Event E would be "1 - p".
So, to get the complement's probability, we subtract the normal probability from "1".
Hence, the probabilty of the complement would be:
\(\begin{gathered} 1-\frac{2}{7} \\ =\frac{7}{7}-\frac{2}{7} \\ =\frac{5}{7} \end{gathered}\)Did Jas graph and find the solution correctly? If not, what was her mistake?
She did not find the correct solution. She graphed the bottom equation of the System incorrectly.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
According to the Problem
y = 3x - 3.....(1)
2x + 2y = 8........(2)
Substitute the value of y from equation 1 to equation 2
2x + 2(3x -3 ) = 8
2x + 6x -6 = 8
8x = 14
x = 1.75
Tus,
y = 3 * 1.75 - 3
y = 2.25
Therefore, she did not find the correct solution to the system of equations.
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Find the value of each variable in the parallelogram. Please help!
Answer:
m = 35 , n = 110
Step-by-step explanation:
the opposite angles of a parallelogram are congruent , then
2m = 70 ( divide both sides by 2 )
m = 35
consecutive angles are supplementary, that is sum to 180° , then
n + 70 = 180 ( subtract 70 from both sides )
n = 110
Solution:
We know that:
In a parallelogram, opposite angles are equivalentThis means that:
70 = 2mDivide 2 both sides to find m:
70 = 2m70/2 = 2m/2m = 70/2 = 35°We can see that two angles measuring 70° and n° are a linear pair.
n + 70 = 180n = 180 - 70 = 110°There are 20 monkeys in a zoo.
There are 4 times as many monkeys as tigers.
How many tigers are there?
Answer:
5
4u=20
1u=20÷4=5
Step-by-step explanation:
4u=20
1u=20÷4=5
The picture shows 3/8 of Puja's penny collection.
*nine pennies*
A. What fraction of her collection is 6 pennies?
B. What fraction of her collection is 21 pennies?
The fraction of her collection that is 21pennies is 56
Ratio and proportionsGiven the fraction for Puja's collection expressed as 3/8
Leet x be the fraction of her collection which is 6 pennies, to have;
x of 3/8 = 6
3x/8 = 6
3x = 48
x = 16
Hence the fraction of her collection that is 6pennies is 16
Let y be the fraction of her collection which is 21 pennies, to have;
x of 3/8 = 21
3x/8 = 21
x = 56
Hence the fraction of her collection that is 21pennies is 56
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A fruit bowl contains apples and bananas in the ratio 4 : 5. Two apples are removed changing the ratio to 2 : 3. Work out the total number of fruit that remain in the bowl.
Answer:
25
Step-by-step explanation:
Given that the ratio is 4 : 5 = 4x : 5x ( x is a multiplier ), then
4x - 2 : 5x = 2 : 3
Expressing the ratio in fractional form
\(\frac{4x-2}{5x}\) = \(\frac{2}{3}\) ( cross- multiply )
3(4x - 2) = 10x , distribute left side
12x - 6 = 10x ( subtract 10x from both sides )
2x - 6 = 0 ( add 6 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus initially there were
4x + 5x = 9x = 9(3) = 27 pieces of fruit
2 apples were removed, leaving 25
Answer:
25
Step-by-step explanation:
4 : 5. is ratio before two apples were removed.
2 : 3. is ratio after two apples were removed.
combing the two statements will give you the following mathematical statement:
4x-2:5x=2:3 solve for x
3(4x-2)=5x*2
12x - 6=
2x=6
x=3
then 4x + 5x = total ñô fruit
4(3) + 5(3) = total ñô fruit
27= total ñô fruit
remaining fruit=total ñô fruit - 2
remaining fruit=27-2
remaining fruit=25
Given the function g(x) = x^2 – 10x + 19, determine the average rate of change of
the function over the interval 3 < x < 6.
Answer:
- 1
Step-by-step explanation:
The average rate of change of g(x) in the close interval [ a, b ] is
\(\frac{g(b)-g(a)}{b-a}\)
Here [ a, b ] = [ 3, 6 ] , then
g(b) = g(6) = 6² - 10(6) + 19 = 36 - 60 + 19 = - 5
g(a) = g(3) = 3² - 10(3) + 19 = 9 - 30 + 19 = - 2
average rate of change = \(\frac{-5-(-2)}{6-3}\) = \(\frac{-5+2}{3}\) = \(\frac{-3}{3}\) = - 1
victor buys some six packs of soda for a party he buys 42 cans in all how many six packs of soda did victor buy?
Answer:
7
Step-by-step explanation:
42÷6=7
Pretty easy question in my opinion
The table and scatter plot show the time spent texting, x, and the time spent exercising, y, by each of 9 students last week.The equation of the line of best fit is y = - 0.4x + 6.96 .
We define the variables:
• x = time spent texting (in hours),
,• y_O = observed time spent exercising (in hours),
,• y_P = predicted time spent exercising (in hours).
,• r = residual (in hours) = y_O - y_P.
From the statement, we have the following equation for the line of best fit:
\(y_P=-0.4x+6.96.\)1) For x = 4.0 we have:
• y_O = 4.50 (from the table),
,• y_P = 5.36 (by using the formula),
,• r = 4.50 - 5.36 = 0.86.
2) For x = 5.0 we have:
• y_O = 6.50 (from the table),
,• y_P = 4.96 (by using the formula),
,• r = 6.50 - 4.96 = 1.54.
Answer1) For x = 4.0 we have: y_O = 4.50, y_P = 5.36, r = -0.86
2) For x = 5.0 we have: y_O = 6.50, y_P = 4.96, r = 1.54
Someone help me and my daughter we are stuck on this problem
Answer:
-3072
Step-by-step explanation:
ar^(n-1)
a is the first term.
r is the common ratio.
3(-4)^(6-1)
3(-4)^5
3(-1024)
= -3072
The 6th term of the geometric sequence is -3072.
Answer:
6th term = -3072
Step-by-step explanation:
an = ar^(n-1)
Where a = 3, r = -4 and n = 6
a6 = (3)(-4)^(6-1)
a6 = (-12)^(5)
a6 = -3702
True or False
All lines are congruent to one another.
Answer:
This is false. Lines will be congruent if they have the same length, which is not the case in all situations.
Answer:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. In the figure above, there are two congruent line segments.
Factor as the product of two binomials.
x² - 4
Answer:
(x + 2)(x - 2)-------------------
Use the identity:
a² - b² = (a + b)(a - b)Apply it to the given expression:
x² - 4 = x² - 2² = (x + 2)(x - 2)The graph for a linear regression crosses the y axis in negative values. Where would the y-intercept of the regression line be located on the y-axis?
a) Above 0
b) Below 0
c) To the right of 0
d) To the left of 0
Answer:
The correct answer is
b) Below 0
The correct option is (d) To the left of 0.
If the graph for a linear regression crosses the y-axis in negative values, the y-intercept of the regression line would be located to the left of 0 on the y-axis.
Therefore, the correct option is (d) To the left of 0. How to find the y-intercept of the regression line?
The y-intercept of a regression line is the value where the regression line intersects with the y-axis. It is the point where x = 0. In order to find the y-intercept of the regression line, we can use the equation of the regression line, which is y = mx + b. Here, m is the slope of the line and b is the y-intercept.
Therefore, if the regression line crosses the y-axis in negative values, it means that the y-intercept (b) is negative, and the line intersects the y-axis to the left of 0.
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∀x is in d, if the ones digit of x is 2, then the tens digit is 3 or 4.
For all numbers x in a given set D, if the ones digit of x is 2, then the tens digit of x must be either 3 or 4.
This statement represents a logical condition that applies to all numbers in a set D. It states that whenever a number x from set D has a ones digit of 2, it guarantees that the tens digit of x must be either 3 or 4. This relationship holds true for all numbers satisfying the given condition within the set.
To understand this statement, consider examples of numbers that satisfy the condition. If we take numbers like 32, 42, 102, or 412, we can see that the ones digit is always 2, and the corresponding tens digit is either 3 or 4. On the other hand, if a number in set D has a ones digit other than 2, there is no restriction on the tens digit.
This statement provides a logical constraint or pattern that can be used to analyze or categorize numbers based on their digits. It can be helpful in various mathematical contexts, such as number theory, algebra, or problem-solving
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ung Jersion Writing Slope Intercept Equations from Graph Slide Arrange Tools Add ons Help Accessibility Last edit was 3 minutes ago Background Layout Transition INSTRUCTIONS: And the slope of the line and enter it here: INSTRUCTIONS: Find the slope of the line and enter it here: INSTRUCTIONS: Find the slope of the line and enter it here: Hind the intercept of the line & enter it here! Find the intercept of the line enter it here: Find the y-intercept of the line & enter it here: Write the equation of the line in form y=mx+b Write the equation of the line in form y=mx+b Write the equation of the line in form y=mx+b 5 4
4) The equation of a line in the slope intercept form is expressed as
y = mx + b
where
m represents slope
b represents y intercept. This is also the point where the line cuts across the y axis.
The formula for determining slope is expressed as
m = (y2 - y1)/(x2 - x1)
y2 and y1 are final and initial values of y corresponding to given points on the line and on the vertical axis.
x2 and x1 are final and initial values of y corresponding to given points on the line and on the horizontal axis. From the graph,
when x1 = - 1, y1 = - 4
when x2 = 1, y2 = 2
m = (2 - - 4)/(1 - - 1) = 6/2
m = 3
Slope of the line = 3
y intercept, b = - 1
Thus, equation of the line is
y = 3x - 1
3 James completely covered a square poster board using 68.2 in. of cardstock. Which measurement is
closest to one side of the poster board in inches?
a. 34 in.
b.8 in.
c. 6 in.
d.30 in.
I NEEP HELPP FAST
Answer:
8 in
Step-by-step explanation:
Area of a square = l×w
Since it is a square then l and w are equal to each other.
So we can instead just say l^2 = A
l^2 = 68.2
l = square root of 68.2
l = 8.26
the numbers in this sequence increase by 8 each time ,what would be the closest to 100
The number in the arithmetic sequence close to 100 is 102
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic sequence be represented as A
Now , the equation will be
A = 14 , 22 , 30 , 38 ...
Now , the common difference of the AP is d = 8
The 12th term of the AP is
a₁₂ = 14 + ( 12 - 1 ) d
a₁₂ = 14 + 11 ( 8 )
a₁₂ = 14 + 88
a₁₂ = 102
Hence , the 12th term of the AP is 102
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Vance bought 2 packages of large beads and 1 package of medium beads. He bought 2 packages of large buttons and how many more beads than more buttons did vance buy
There are 472 more buttons bought by Vance than beads.
Define the term difference of number?One of the most crucial arithmetic operations, that is obtained by removing two integers, produces difference in mathematics.For the stated question table is made.
So,
Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).
= (2 × 96) + (1 × 64)
= 2 × (90 + 6) + 64
= (2 × 90) + (2 × 6) + 64
= 180 + 12 + 64
= 256 beads
Now,
Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)
= (2 × 56) + (2 × 38)
= 2 × (50 + 6) + 2 × (30 + 8)
= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)
= 100 + 12 + 600 + 16
= 728 buttons
Thus,
Difference for the number of buttons and beads
= 728 – 256
= 472 beads
So,
Therefore, there are 472 more buttons bought by Vance than beads.
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use the table of integrals to evaluate the integral. ∫2 31x^3 √4x2 − x4 dx 0
The value of the integral is (11/15)√3.
First, we can simplify the integrand using the trigonometric substitution:
Let x = 2sinθ
Then dx = 2cosθ dθ and 4x^2 - x^4 = 4(2sinθ)^2 - (2sinθ)^4 = 4(4sin^2θ - sin^4θ) = 4sin^2θ(4 - sin^2θ)
Substituting these expressions into the integral, we have:
∫2^3 1x^3 √4x2 − x4 dx
= ∫sin(θ=π/6)sin(θ=π/3) 8sin^3θ √(4sin^2θ)(4-sin^2θ) (2cosθ)dθ
= 16∫sin(θ=π/6)sin(θ=π/3) sin^3θ cos^2θ dθ
We can use the identity sin^3θ = (1-cos^2θ)sinθ to simplify the integral further:
16∫sin(θ=π/6)sin(θ=π/3) sinθ(1-cos^2θ)cos^2θ dθ
Now, we can make the substitution u = cosθ, du = -sinθ dθ, and use the table of integrals to evaluate the integral:
16 ∫u=-√3/2u=1/2 -u^2(1-u^2) du
= 16 [(-1/3)u^3 + (1/5)u^5]u=-√3/2u=1/2
= 16 [(-1/3)(-√3/2)^3 + (1/5)(-√3/2)^5 - (-1/3)(1/2)^3 + (1/5)(1/2)^5]
= 16 [(-√3/24) + (3√3/160) + (1/24) - (1/160)]
= 16 [(11√3/480)]
= (11/15)√3
Therefore, the value of the integral is (11/15)√3.
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1. Nancy is purchasing a $200 coat at 15% off. What is the total amount
Nancy must pay?