Answer:
x = 23
y = 128
Step-by-step explanation:
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
98 = 2x + 3x - 17
115 = 5x
x = 23
Angles 3x - 17 and y form a linear pair, so they are supplementary.
3x - 17 + y = 180
3(23) - 17 + y = 180
69 - 17 + y = 180
52 + y = 180
y = 128
Answer:
x=23
y=128
Step-by-step explanation:
98=2x+3x-17
98=5x-17
115=5x
x=23
3x-17+y=180
3(23)-17+y=180
69-17+y=180
y=128
60% of what number is equal to 307
Answer:
511.6
Step-by-step explanation:
Reverse the order in which you define 60%
x / .6 (or 60%) = 307
Reverse it to get;
307 = .6(x)
Solve for x;
307 / .6 = x / .6
511.6 = x
TA-DA! I hope this helped ^<^
Zippy's Zip Line Land plans to install a new zip line between two trees. One tree is 45 feet east (x coordinate) of the storage hut and the other is 25 feet north ( y coordinate) of the storage hut. The end of the zip line on the tree cast of the hut will be at a height (z coordinate) of 46 feet and the other end will be at a height of 39 feet on the tree north of the hut. If the zip line is stretched taut, how many feet of zip line is needed. Round your answer to the hundredths place.
We can set the first point of our zip line as follows:
(x₁ , y₁ , z₁) = (0, 0, 46)
So the end of the zip line would be:
(x₂ , y₂ , z₂) = (45, 25, 39)
Now let's use the given distance formula to solve this problem:
Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
use logarithmic differentiation to find the derivative of the function. y = (sin(5x))ln(x)
the derivative of the function y = (sin(5x))ln(x) is dy/dx = ln(x) * [5cos(5x) + (1/x)].
To find the derivative of the function y = (sin(5x))ln(x) using logarithmic differentiation, we follow these steps:
Step 1: Take the natural logarithm (ln) of both sides of the equation:
ln(y) = ln((sin(5x))ln(x))
Step 2: Use logarithmic properties to simplify the expression:
ln(y) = ln(sin(5x)) + ln(ln(x))
Step 3: Differentiate both sides of the equation implicitly with respect to x:
(1/y) * dy/dx = (1/sin(5x)) * d/dx(sin(5x)) + (1/ln(x)) * d/dx(ln(x))
Step 4: Simplify the derivatives on the right-hand side:
(1/y) * dy/dx = (1/sin(5x)) * (5cos(5x)) + (1/ln(x)) * (1/x)
Step 5: Multiply both sides of the equation by y to isolate dy/dx:
dy/dx = y * [(1/sin(5x)) * (5cos(5x)) + (1/ln(x)) * (1/x)]
Step 6: Substitute y back into the equation:
dy/dx = [(sin(5x))ln(x)] * [(1/sin(5x)) * (5cos(5x)) + (1/ln(x)) * (1/x)]
Step 7: Simplify the expression further:
dy/dx = ln(x) * [5cos(5x) + (1/x)]
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I need help, please. I don’t understand
Answer:
60%
Step-by-step explanation:
So, this question is saying the bowls can be between a diameter of 6.95 and 7.05
Box 1, 3 and 5 are in this margin.
Box 2 and 4 are not.
3/5 boxes can be included.
3/5 is 6/10
6/10 is 60%
A bag holds 6 green, 3 red, and 4 blue marbles. A marble is selected at random, what is the probability of not selecting a blue marble?
Answer: 9/13
Step-by-step explanation:
6+3+4=13
13-4=9
it says the probability of NOT selecting a blue marble so it wouldnt be 4/13
Select the example of an inequality.
o 14y = 2
0 32 - 4
044 = 15
4y < 64
i need help pls!!!!!!!!!!!!!!!!!!!!1
Answer: Plan A
Step-by-step explanation:
If you choose plan B, then it will take 12 weeks to pay it off but plan A will take 11 weeks.
Hopefully, this helps.
I need help again, but I did it step by step and I want to make sure it is the correct answer. Please help, thxs!!
Answer:
13!
Step-by-step explanation:
I hope I'm right and I hope it helps! *If I'm wrong again that would be really embarrassing.*
Please help ASAP!!!! Which numbers are perfect squares? Check all that apply. A.20 B.40 C.64 D.4 E.49 F.48
Answer: 20 is not
40 is not
64 is
4 is
49 is
48 is not
Step-by-step explanation:
A. y=-2x+2
B. y=-1/2x+2
C. y=-2x+2
D. y=1/2x-2
The correct answer is y=1/2+2
what type of data is a questionnaire
Answer:
A questionnaire can collect quantitative, qualitive or both types of data.
Step-by-step explanation:
Answer:
Categorical data
Step-by-step explanation:
Data that relates to certain categories e.g males, females or any types of car
a = 2.7 cm, b = 12 cm and c = 9.2 cm. If m is the midpoint of SR Calculate the size of angle MwwT (correct to 1 d.p.)
The size of angle MWT is calculated to 1 d.p. to give
37.8 degrees
How to find angle MWTThe size of angle MWT is solved using trigonometry tan
tan (angle MWT) = (distance midpoint of a to edge w) / b
Where distance midpoint of a to edge w is calculated using Pythagoras theorem
(distance midpoint of a to edge w)² = (1/2 a)² + c²
(distance midpoint of a to edge w)² = (1.35)² + 9.2²
distance midpoint of a to edge w = 9.3
tan (angle MWT) = 9.3 / 12
angle MWT = arc tan (9.3/12) = 37.776
angle MWT = 37.8 degrees to 1 d.p.
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Which equation has a slope of -4 and a y-intercept of 7.
y=-4x+7
the -4 is the slope and the 7 is the y-intercept
There are 10 employees in a particular division of a company. Their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000. The largest number on the list is $100,000, by accident, this number is changed to $1,000,000. Find the value of the mean, variation and standard deviation after the change.
Given information: Number of employees (n) = 10, Mean (μ) = $70,000, Median = $55,000, Standard deviation (σ) = $20,000. The largest number on the list = $100,000. We have to find the new mean, variation, and standard deviation after the value is changed from $100,000 to $1,000,000.
Now the largest value on the list is $1,000,000, and the other nine values range from $55,000 to $100,000. So, the new mean can be calculated as follows:
New mean = [($55,000 × 4) + ($70,000 × 5) + ($100,000 × 1) + ($1,000,000 × 1)] / 10= $623,000Hence, the new mean is $623,000.Using the formula, Variance (σ²) = Σ(xi - μ)²/n, where xi = data value, μ = mean and n = number of data values.
In the previous case, variance was equal to:(20,000² + 15,000² + 10,000² + 5,000² + 0² + 5,000² + 10,000² + 15,000² + 30,000² + 30,000²)/10 = 2,100,000Now, let’s calculate the variance with $1,000,000 as the highest value.
Variance = (20,000² + 15,000² + 10,000² + 5,000² + 0² + 5,000² + 10,000² + 15,000² + 900,000² + 900,000²)/10Variance = 3,580,000,000
The new variance is 3,580,000,000.Hence, the new variance is $3,580,000,000.Now, using the formula,Standard deviation (σ) = √Variance
The old standard deviation was:σ = √(2,100,000) = $1,449.14The new standard deviation will be:σ = √(3,580,000,000) = $59,797.96Hence, the new standard deviation is $59,797.96.
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Find the equation of a line perpendicular to\hspace{4px}-x+y=9\hspace{4px}−x+y=9that passes through the point (-2,-1)(−2,−1).
Answer:
\(y = -x -3\)
Step-by-step explanation:
⭐What is a property of a perpendicular line?
perpendicular lines have slopes that are the opposite reciprocal of the slopes of the lines they are perpendicular to⭐What does "opposite reciprocal" mean?
the perpendicular line has a slope that is the reciprocal of the slope of the line it is perpendicular to with the opposite sign.⭐What is the equation of a line?
in slope-intercept form:\(y = mx + b\)m = the slope b = the y-interceptTo create the equation of the perpendicular line, let's first find the slope of the perpendicular line.
The equation of the line the perpendicular line is perpendicular to is:
\(-x + y = 9\)
⭐ \(y = x + 9\)
The slope of the line the perpendicular line is perpendicular to is 1.
Therefore, the slope of the perpendicular line is -1.
Substitute the slope of the perpendicular line into the equation of the perpendicular line:
\(y = mx + b\)
\(y = -x + b\)
Now, we need to find the y-intercept of the perpendicular line.
To do so, substitute a point that we are given into the perpendicular line equation and solve for b.
I am going to use the point (-2,-1), because we are given this point.
\(y = -x + b\)
\(-1 = -(-2) + b\)
\(-1 = 2 + b\)
\(-3 = b\)
Therefore, the y-intercept of the perpendicular line is -3.
Substitute the value of the y-intercept into the equation of the perpendicular line:
\(y = -x -3\)
∴The equation of the perpendicular line is \(y = -x -3\)
. Please HELP me WITH this EQUATION ; A triangle has two base angles of 35º and another angle of 110º. Select any words which accurately describe the triangle. AObtuse-angled BScalene CEquilateral DRight-angled EIsosceles FAcute-angled
Answer:
Isosceles
Step-by-step explanation:
i need help can someone please teach me thee ways of math :/
the bus value is depreciating, thus is Decay
\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &250000\\ r=rate\to 20\%\to \frac{20}{100}\dotfill &0.2\\ t=years \end{cases} \\\\\\ A = 250000(1 - 0.2)^{t} \implies \boxed{A = 250000(0.8)^t} \\\\\\ \stackrel{\textit{after 6 years, t=6}}{A=250000(0.8)^6}\implies \boxed{65536}\)
Can you find the slope and type the correct code? Please remember to type in ALL CAPS with no spaces.
Yes, I can find the slope of a line and type the correct code. The SLOPE function will return the slope of the linear regression line that best fits the data.
The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The formula for finding the slope of a line is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.
The slope is a measure of how steep the line is. It can be positive, negative, zero, or undefined. The code for finding the slope of a line in ALL CAPS with no spaces is SLOPE.
To use this function in Excel, you need to provide the range of x-values and the range of y-values.
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The following scatter plot shows the correlation between the number of hours twelve teenagers spent in the mall and the number of dollars they spent on food or drinks while at the mall. Use the line of best fit to estimate how much money a teenager will spend on food if he or she is at the mall for three hours.
$9
$11
$7
$5
The equation of the line of best fit is an illustration of a linear function
The teenager would spend $9 on food if he or she is at the mall for three hours.
How to determine the amount spent on food?
The equation of the line of best fit is given as:
y = 2x + 3
When the teenager spends 3 hours in the mall, it means that:
x = 3
So, we have:
y = 2 * 3 + 3
Evaluate the product
y = 6 + 3
Evaluate the sum
y = 9
Hence, the teenager would spend $9 on food if he or she is at the mall for three hours.
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Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?
Answer:
Step-by-step explanation:
4 ft
Answer:
Step-by-step explanation:
4 ft
brainliest pls i need it :,)
In a soccer game, 1/5 of the players on Team A and 1/11 of the players on Team B score a goal. A total of 5 players on Team A and 2 players on Team B score a goal. How many players are on each team?
Let's call the number of players on Team A as "A" and the number of players on Team B as "B".
We know that 1/5 of the players on Team A score a goal, so:
5 players / (1/5) = A players
5 * (1/5) = A
A = 25
We also know that 1/11 of the players on Team B score a goal, so:
2 players / (1/11) = B players
2 * (1/11) = B
B = 22
So there are 25 players on Team A and 22 players on Team B.
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how many lines of symmetry does this have? 5?
Answer:
3
Step-by-step explanation:
I think ttttttttttttttttttttt
B is the midpoint of AC. If AB = x + 5 and AC = 3x - 6, find BC.
Hey there! I'm happy to help!
We see that at AB is halfway across our line. We see that AC is the total line.
So, to find the other half, we have to subtract AB from AC, which will give us the value of BC.
We first will subtract our x values.
3x-x=2x
And then we subtract our numbers.
-6-5=-11
So, BC is 2x-11.
Have a wonderful day and keep on learning! :D
Answer:
21 unitsStep-by-step explanation:
Since B is the midpoint, we have:
AB = BC = AC/2Substitute and solve for x:
x + 5 = (3x - 6)/23x - 6 = 2x + 103x - 2x = 10 + 6x = 16Find BC:
BC = AB = 16 + 5 = 21La fábrica tiene 300 obreros de los cuales 2/3 son hombres. 3/3 trabajadores por la mañana, 1/2 son sindicalizado y 1/6 son personal de confiancia. ¿Cuántos hombres trabajan en la fábrica?_________ ¿Y cuántas mujeres?_______ ¿Cuántos hobreros trabajan por la mañana?__________ ¿Cuántos son sindicalizados?______________ ¿Cuántos son de confianza? AYUDA ES PARA MAÑANA SINO MIS PADRES ME MATAS AYUDA
From the total of 300 workers in the factory :
a. Number of men = 200 and Women = 100
b. Number of workers works in the morning = 225
c. Number of workers unionized are 150.
d. Number of workers trustworthy are 50.
Total number of workers in the factory are 300.
a. Fraction of men in the factory are ( 2/3)
= 2/3 of 300
= 200
Women
= 300 -200
= 100
b. Number of workers in the morning shift are
= 3/4 of 300
= 225
c. Total number of workers unionized
= 1/ 2 of 300
= 150
d. Number of trustworthy workers
= 1/6 of 300
= 50
Therefore, out of 300 workers in the factory answer of the following questions are:
a. Number of men and women work in the factory are 200 and 100 respectively.
b. Number of workers works in the morning is 225.
c. Unionized workers = 150
d. Trustworthy workers = 50.
The above question is incomplete , the complete question is :
The Factory has 300 workers of which 2/3 are men, 3/4 work in the morning, 1/2 are unionized and 1/6 are trusted personnel.
a. How many men work in the factory and how many women?
b. How many workers work in the morning?
c. How many are unionized?
d. How many are trustworthy?
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Find the nth term of this number sequence 2, 4, 6, 8, ...
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
The given sequence is in Arithmetic progression, and we have to find its nth term ~
So, let's get it solved ~
First term of the sequence is :
a = 2Common difference is :
d = 6 - 4 = 4 - 2 = 2Now, if we have to write the 2nd Term with respect to first one, we can write :
2nd Term = a + (2 - 1)d = a + d = 2 + 2 = 4similarly ~
3rd Term = a + (3 - 1)d = a + 2d = 2 + 4 = 64th Term = a + (4 - 1)d = a + 3d = 2 + 6 = 8Therefore, I similar pattern ~
\( \qquad \sf \dashrightarrow \: nth \: term = a + (n - 1)d\)
\( \qquad \sf \dashrightarrow \: nth \: term = 2 + (n - 1)2\)
\( \qquad \sf \dashrightarrow \: nth \: term = 2(1 + (n - 1))\)
\( \qquad \sf \dashrightarrow \: nth \: term = 2(1 + n - 1)\)
\( \qquad \sf \dashrightarrow \: nth \: term = 2 n \)
Feel free to ask your doubts, if you have any ~
Answer:
2nStep-by-step explanation:
from the number sequence above, each term except the first is generated by adding 2 to the term immediately preceding it.
the nth term of the sequence is usually designated Tn, and it's usually a function of n
from the number sequence
T1= 2
T2 = 2+2= 4
T3= 4+2= 6
T4= 6+2= 8
therefore, Tn= 2+2×(n-1)
= 2+2n-2
=2-2+2n= 2n
therefore, the nth term of the number sequence= 2nWhat are the rational numbers that are not natural or real numbers?
Examples of numbers that are rational number but not natural
-4, -5, 4/5, 0.89, 0.
Rational Numbers:
A type of real number known as a rational number is represented by the formula p/q, where q is not equal to zero. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other such numbers are a few examples of rational numbers. The number "0" is also a rational number because there are many ways to represent it, including 0/1, 0/2, 0/3, etc. However, since they give us infinite values, 1/0, 2/0, 3/0, etc. are illogical. Check the irrational numbers here as well and contrast them with the rational ones.
Natural Number:
All positive integers from 1 to infinity are included in the number system, which also includes natural numbers, which are also used for counting. There is no zero included (0). In fact, counting numbers are 1, 2, 3, 5, 6, 7, 8, 9, etc.
Real numbers, which only include the positive integers 1, 2, 3, 4,5, and 6, are made up of natural numbers. Negative numbers, fractions, decimals, and zero are not included.
Notably, zero and negative numbers are not considered to be natural numbers.
Few examples of numbers that are rational number but not natural
-4, -5, 4/5, 0.89, 0.
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I need help with this question
Geometry. Math nation section 3
∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information
Two angles are given.
∠g = (2x-90)°
∠h = (180-2x)°
We have to find the statement which is true about the angles g and h.
If both angles are greater than zero.
Complementary angles add up to 90 degrees
i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.
Substituting the given values:
∠g + ∠h
= (2x-90)° + (180-2x)° = 90°
Thus, ∠g and ∠h are complementary angles.
and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h are acute.
So the statement ∠g and ∠h are acute angles is also true
Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements
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what’s the value of r?
Answer:
r = 4
Step-by-step explanation:
z ^ (7/10) * z^ ( 33/10)
We know that a^ b* a^c = a^(b+c)
z^ (7/10 +33/10)
z^ (40/10)
z^4
r = 4