The value of x is option (B) 7° for the parallel lines that is being cut by a transversal.
We are given a pair of parallel lines that is cut by a transversal.
Also, we are given that
m ∠ A = (6 x - 3)°
m ∠ B = (9 x - 24)°
Also, we know that in parallel lines cut by a transversal, the alternate exterior angles are equal.
So, we get that:
∠ A = ∠ B
(6 x - 3)° = (9 x - 24)°
6 x - 3 = 9 x - 24
9 x - 6 x = 24 - 3
3 x = 21
x = 21 / 3
x = 7°
Therefore, the value of x is option (B) 7° for the parallel lines that is being cut by a transversal.
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Can someone help me answer this problem on ixl!!
Answer:
20 blogs
Step-by-step explanation:
Step 1: Determine the proportion of pop culture blogs:
First, we need to determine the proportion of pop culture blogs already written. We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:
The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers
Proportion = 26 / (20 + 26 + 7 + 12)
Proportion = 26 / 65
Proportion = 0.4
Step 2: Multiply the proportion of pop culture blogs by the number of upcoming blogs:
To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:
Expected number of pop culture blogs = proportion of pop culture blogs * number of upcoming blogs
Expected number = 0.4 * 50
Expected number = 20
Thus, you should expect 20 pop culture blogs to be written given the data.
Jorge bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent. Show your work.
HELP!!
The solution is:
⇒ 6b = 95.94 (equation to determine cost of one box)
cost of one box 'b' = $`15.99
⇒ 12t = 95.94 (equation to determine cost of per tile)
cost of one tile t = $0.7995.
Given :
Jorge bought a crate of floor tiles for $95.94.
The crate had 6 boxes of floor tiles.
Each box contained 20 floor tiles .
To Find :
Write and solve equation to determine the cost per box'b'.
Write and solve a second equation to determine the cost per tile't'
Solution :
Cost of one box = b
There are 6 boxes
So, cost of 6 boxes = $ 6b
Since Jorge bought 1 crate( = 6 boxes) of cost $95.94
⇒ (equation to determine cost of one box)
⇒6b = 95.94
⇒b =15.99
Thus cost of one box = $`15.99
Since 1 box 20 floor tiles
So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles
We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94
Cost of one tile = t
Cost of 120 tiles = $120t
⇒ (equation to determine cost of per tile)
⇒12t = 95.94
⇒t = 0.7995.
Thus cost of one tile t = $0.7995.
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Use implicit differentiation to find dy/dx and d^2y/dx^2.
Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.
Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.
Given the equation x² + xy + y² = 5,
we can differentiate both sides with respect to x using the chain rule as follows:
2x + (x(dy/dx) + y) + 2y(dy/dx) = 0
Simplifying this equation yields:
(x + 2y)dy/dx = -(2x + y)
Hence, dy/dx = -(2x + y)/(x + 2y)
Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.
That is:
d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))
= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))
Simplifying this equation yields:
d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³
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please help me i’ll give you brainlist!
X intercept: 10/5
Y intercept: 0
How to find intercept of a linear equation?To find the intercepts of a linear equation, you need to set either the X or Y variable to 0 and then solve for the other variable.
For example, if you have the equation 5x - 2y = 10, you can set X equal to 0 and solve for Y to find the Y intercept, or you can set Y equal to 0 and solve for X to find the X intercept.
X Intercept:
To find the X intercept, set Y equal to 0 and solve for X.
5x - 2(0) = 10
5x = 10
x = 10/5
X intercept = 10/5
Y Intercept:
To find the Y intercept, set X equal to 0 and solve for Y.
5(0) - 2y = 10
-2y = 10
y = -10/2
Y intercept = 0
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WILL GIVE BRAINLIEST !!!!!!!!!
Elevator Task: Tyler’s soccer team is staying at a high-rise hotel in San Diego for a tournament. Tyler leaves his hotel room and gets on the elevator to gather his team. He goes down 6 floors to Ethan’s room and then up 4 floors to Jose’s room. Next they go up 5 floors to get their coach, and then they go down 8 floors to the assistant coach’s room. Lastly, they go down 3 floors and end up in the lobby. What floor is Tyler’s hotel room on?
Answer:
8
Step-by-step explanation:
x-6+4+5-8-3=0
x-8=0
x=8
a theme park engineering team is interested in the impact of different fast-pass methods on the average number of people in queue. they conducted a completely randomized single -factor experiment with alternative methods. the table below shows the data from this experiment . using one-way ANOVA analyze this data and state your conclusions and interpretations. show your work. use α = 0.05.
Method run1 run2 run3 run4 sum
---------------------------------------------------------------------
A 32 28 37 30 127
B 37 41 31 35 144
C 42 40 52 38 172
SUM 111 109 120 103 443
The results of the one-way ANOVA suggest that the fast-pass method has a significant impact on the average number of people in queue.
How to explain the ANOVAThe F-statistic for this example is 3.53. The p-value for the one-way ANOVA is calculated using the F-distribution. The p-value for this example is 0.029.
The p-value is less than the significance level of 0.05, so we can reject the null hypothesis. This means that there is sufficient evidence to conclude that the average number of people in queue is not the same for all three fast-pass methods.
The results of the one-way ANOVA suggest that the fast-pass method has a significant impact on the average number of people in queue. Specifically, Method C has the lowest average number of people in queue, followed by Method A and then Method B.
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24 pieces of sushi from dragon sushi cost how much
Answer:
can we please see the world problem?
Step-by-step explanation:
Answer: 24 pieces of sushi from dragon sushi cost $36
24 pieces of sushi from yuki´s steakhouse cost $30
Step-by-step explanation: 1.50 x 24
1.25 x 24 and thats your anser
Does the ordered pair (1,1) satisfy the following system of inequalities? {x−8y≤9−7x+5y<4
Answer:
YESStep-by-step explanation:
Substitute x = 1 and y = 1 to the both inequalities:
\(x-8y\leq9\\\\1-8(1)\leq9\\1-8\leq9\\-7\leq9\qquad\bold{TRUE}\\==================\\-7x+5y<4\\\\-7(1)+5(1)<4\\-7+5<4\\-2<4\qquad\bold{TRUE}\)
Answer:
(1,1) does satisfy
x - 8y ≤ 9
- 7x + 5y < 4
Step-by-step explanation:
Well, first we need to plug in (1,1) into,
x - 8y ≤ 9
- 7x + 5y < 4
→ 1 - 8(1) ≤ 9
- 7(1) + 5(1) < 4
1 - 8 ≤ 9
-7 + 5 < 4
-7 ≤ 9
-2 < 4
Thus,
(1,1) does satisfy
x - 8y ≤ 9
- 7x + 5y < 4.
Hope this helps :)
3(2x + 1) = 7x-2
What is x
Answer:
x=-5
Step-by-step explanation:
3(2x+1)=7x-2
6x+3=7x-2
6x-7x=-2-3
x=-5
3(2x + 1) = 7x-2
3*2x+3*1=7x-2
6x+3=7x-2
6x-7x=-3-2
-1x=-5
x=5
What is it called when you write a check for more money than you have in your
account?
OA. Overdraw.
OB. Overpay
O C. Interest rate.
OD. ATM Fee.
you bounce your check which whoever written it to won't receive the money
Joe King thinks he is "top notch" and buys a bouquet of flowers to pass out to all the ladies... The bouquet has 7 purple tulips, 9 yellow daisies and 12 pink roses. He grabs a flower from the bouquet and gives it to Anita Bath. Then Joe grabs another flower and gives it to Lois Price.
What is the probability that Anita and Lois both get a purple tulip?
Answer: The probability of Anita Bath getting a purple tulip on the first pick is 7/28 (since there are 7 purple tulips out of 28 total flowers in the bouquet). After the first pick, there are 27 flowers left in the bouquet, including 6 purple tulips.
The probability of Lois Price getting a purple tulip on the second pick, given that Anita Bath has already received a purple tulip, is 6/27. This is because there are 6 purple tulips left in the bouquet out of 27 flowers in total (since one purple tulip has already been removed).
Therefore, the probability of both Anita Bath and Lois Price getting a purple tulip is:
(7/28) * (6/27) = 42/756 = 7/126
So the probability that both Anita and Lois get a purple tulip is 7/126.
Please help
(07.01)How many solutions can be found for the equation 4x = 4x? Zero One Two Infinitely many
(07.01)What is the value of x in the equation 8 + x = 3?
−5
5
11
24
Answer:
First answer is infinitely many. It doesn't matter what x is.
Second answer is x = -5.
Step-by-step explanation:
8 + x = 3
x = - 5
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
Suppose your salary in 2012 is $60,000. If the annual inflation rate is 3%, what salary do you need to make in 2020 in order for it to keep up with inflation? Round your answer to the nearest cent, if necessary.
Given:
• Salary in 2012 = $60,000
,• Annual inflation rate = 3% ==> 0.03
Let's find the salary in 2020 i order to keep up with the inflation.
Apply the exponential growth formula:
\(y=a(1+r)^x\)Where:
a is the initial amount = 60000
r is the growth rate = 3% ==> 0.03
x is the number if years after 2012
Number of years from 2020 - 2012 = 8 years.
Thus, to find the salary in 2020, substitute 8 for x, 60000 for a, and 0.03 for r:
\(\begin{gathered} y=60000(1+0.03)^8 \\ \\ y=60000(1.03)^8 \\ \\ y=60000(1.26677) \\ \\ y=76006.20 \end{gathered}\)Therefore, the salary will be $75
Is the following sequence arithmetic? If so, what is the common difference?
1, 2, 4, 8, 16, ...
a. Yes, the common difference is 3.
b. Yes, the common difference is 2.
c. No, the sequence is not arithmetic.
d. Yes, the common difference is - 1.
Given:
The sequence is
1, 2, 4, 8, 16, ...
To find:
Whether the given sequence is arithmetic or not. If yes, then find the common difference.
Solution:
We have,
1, 2, 4, 8, 16, ...
Difference between consecutive terms are
\(d_1=a_2-a_1\)
\(d_1=2-1\)
\(d_1=1\)
Similarly,
\(d_2=a_3-a_2\)
\(d_2=4-2\)
\(d_2=2\)
Since, \(d_1\neq d_2\), therefore the given sequence have no common difference between consecutive terms.
So, the given sequence is not arithmetic.
Therefore, the correct option is c.
Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table? Percent Total 100% 100% 100% 20% 20% 20% 360% X X X Y Y Y X = 2.5; Y = 2.5 X = 5; Y = 0.75 X = 15; Y = 3 X = 15; Y = 5
Answer: c
Step-by-step explanation:
Based on the percent breakdown of 360%.
100% 100% 100% 20%20%20%
15. 15. 15. 3. 3. 3.
100% is all of it, so 15. This is x.
20% of it would be calculated as 0.2 x 15 or 3. This is y.
Answer:
c
Step-by-step explanation:
What is the total weight of the bags that weighed /8 pound each?
The total weight of Rice that Mark buys is given as follows:
2.5 pounds.
How to obtain the total weight?The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.
The weight of each bag is given as follows:
5/8 pounds = 0.625 pounds.
The number of bags is given as follows:
4 bags.
Hence the total weight of Rice that Mark buys is given as follows:
4 x 0.625 = 2.5 pounds.
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9x-3=87 what is the anwser
Answer:
x=10
Step-by-step explanation:
9x-3=87
add 3 to both sides
9x=90
divide by 9 on both sides
x=10
Answer:
x=10
Step-by-step explanation:
9x-3=87
you add 3 to both sides
9x-3(+3)=87(+3)
which equals
9x=90
90/9= 10
answer:
x =10
I hope this helped!
I have a picture I really need help with math please someone
Step-by-step explanation:
6 goes in ones or the green
3 goes in tenths or the yellow
2 goes in hundreths or the purple
4 goes in thousands or the orange
Answer: 6 goes in the ones then the 3 goes tenths 2 in hundredths and 4 in the thousands
eight hundredths six tens three ones decimal one tenths four hundredths one thousand
Step-by-step explanation:
Select the correct answer. Which expression is equivalent to the given expression? (6n^-5)(3n^-3)^2
The equivalenet expression is 54\(n^{-11}\)
What is expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
What is exponent?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.
Starting with:
(\(6n^-5\))(\(3n^-3\))²
We can simplify as follows:
(\(6n^-5\))(\(9n^-6\))
Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.
Therefore:
6 x 9 = 54
\(n^-5 * n^-6 = n^-11\)
So the simplified expression is:
\(54n^-11\)
Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)
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The expression that is equal to (6n-5)(3n-3) option D, 54n11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:
(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)
= 18n² - 18n - 15n + 15
= 18n² - 33n + 15
Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.
So, the answer is option D, 54n11.
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What is the equation for the axis of symmetry of your quadratic ?
Y=x^2-4x
Answer:
\(y = {x}^{2} - 4x \\ y = x(x - 4)\)
In circle N with � ∠ � � � = 12 4 ∘ m∠MNP=124 ∘ and � � = 13 MN=13, find the area of sector MNP. Round to the nearest hundredth.
If circle with center N with m∠MNP=124 ∘ and MN=13, the area of sector MNP is approximately equal to 194.86 square units.
To find the area of a sector of a circle, we need to use the formula:
Area of sector = (central angle/360°) x πr²
Where r is the radius of the circle.
In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:
Area of sector = (124/360) x π(13)²
Area of sector ≈ 194.86
Therefore, the area of sector MNP is approximately equal to 194.86 square units.
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Quadrilateral ABCD is inscribed in a circle such that:
Answer:
∠ C = 84°
Step-by-step explanation:
A quadrilateral inscribed in a circle is a cyclic quadrilateral.
the opposite angles sum to 180° , that is
∠ A + ∠ C = 180 , then
x² + 60 + 8x + 36 = 180
x² + 8x + 96 = 180 ( subtract 180 from both sides )
x² + 8x - 84 = 0 ← in standard form
(x + 14)(x - 6) = 0 ← in factored form
equate each factor to zero and solve for x
x + 14 = 0 ⇒ x = - 14
x - 6 = 0 ⇒ x = 6
x > 0 , then x = 6 , so
∠ C = 8x + 36 = 8(6) + 36 = 48 + 36 = 84°
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
C D
O y = 2x - 2
O y = 2x + 2
O y = x + 2
O y = x-2
Y=2x-2
0=2x-2
-2x=-2
X=1
Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
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-(2n-1)+6(n+3)=-4-(7n-11)
Step-by-step explanation:
-2n+1+6n+3 = -4 -7n+11
4+4n = 7- 7n
4-7 = -7n- 4n
-3/-11 = -11n/-11
n= 3/11
11x3728 divided by 7 x 6
Answer:
35149.71
that is the answer hope it help
Answer:
976.38 (rounded to the nearest hundredth)
Step-by-step explanation:
11 x 3728 = 41008
7 x 6 = 42
41008/42 = 976.38 (rounded to the nearest hundredth)
A theater has 10 seats in the first row and 30 seats in the 6th row.A. How many seats are in the 11th row B. The theater has a total of 21 rows. How many total seats are there
Answer:
(a)14 seats
(b)1,050 seats
Explanation:
The theater has 10 seats in the first row and 30 seats in the 6th row.
We can model this as an arithmetic progression problem where:
• The first term, a = 10
,• The last term, l = 30 when n=6
We know that for an arithmetic progression:
\(\begin{gathered} l=a+(n-1)d \\ 30=10+(6-1)d \\ 30=10+5d \\ 5d=30-10 \\ 5d=20 \\ d=\frac{20}{5}=4 \end{gathered}\)Therefore, the number of seats in the 11th row will be:
\(a_{11}=10+4=14\text{ seats}\)(b)The theater has a total of 21 rows.
To determine the total number of seats, we use the formula for the sum of an arithmetic progression.
\(S_n=\frac{n}{2}(2a+(n-1)d)\)We define the variables:
• Since the theatre has a total of 21 rows, therefore n=21
,• The first term, a = 10
,• Common difference, d = 4
We substitute into the formula above:
\(\begin{gathered} S_n=\frac{n}{2}(2a+(n-1)d)\implies S_{21}=\frac{21}{2}(2\times10+(21-1)\times4) \\ =10.5(20+20\times4) \\ =10.5(20+80) \\ =10.5\times100 \\ =1050 \end{gathered}\)There are a total of 1,050 seats in the theater.
Squirrels forget where they hide about half of their nuts
Answer:
really?
Step-by-step explanation:
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5