The values of x and w on the triangle are given as follows:
w = 14.4, x = 11.2.
How to obtain the values of x and w?The values of x and w are obtained applying the trigonometric ratios, as the triangle is a right triangle.
The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.For the angle of 48º, we have that:
The adjacent side is w.The opposite side is of 16.Hence:
tan(48º) = 16/w
w = 16/tan(48º)
w = 14.4.
For the angle of 32º, we have that:
The adjacent side is 14.4 + x.The opposite side is of 16.Hence:
tan(32º) = 16/(14.4 + x)
tan(32º)(14.4 + x) = 16
x = (16 - 14.4tan(32º))/tan(32º)
x = 11.2.
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-2xy5 + 3x? – 10x3y6 + 8x6+ 4
Answer:
1. polynomial has 5 terms
I need this answered, it’s from my prep guide I will include a pic of the answer options
Given the graph of the hyperbola:
\(\frac{(y+2)^2}{36}-\frac{(x+5)^2}{64}=1\)The general equation of the given hyperbola is:
\(\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\)Where (h, k) is the center of the hyperbola
So, by comparing the equations:
Center = (h, k) = (-5, -2)
The hyperbola opens up and down
Since a =
\(a=\sqrt[]{36}=6\)The coordinates of the vertices are: (h, k + a ) and (h, k - a)
h = -5, k = -2, a = 6
So, the coordinates are:
\((-5,-8),(-5,4)\)The slopes of the asymptotes are:
\(\pm\frac{a}{b}=\pm\frac{6}{8}=\pm\frac{3}{4}\)The equation of the asymptotes are:
\(\begin{gathered} y-k=\pm\frac{a}{b}(x-h) \\ y+2=\pm\frac{3}{4}(x+5) \end{gathered}\)Write an equation with a slope of −4.4 and a y-intercept of 6.8
\(\huge\text{Answer:}\)
\(\huge\fbox{y=-4.4x+6.8}\checkmark\)
\(\huge\text{Solution:}\)
Hi there!
We are given the slope of the line and its y-intercept.
So, we can easily identify the equation of the line.
The equation of the line is usually written in slope-intercept form.
Slope-Intercept Form looks like this:
\(\fbox{y=mx+b}\)
Where m is the slope and b is the y-intercept.
In this case, the slope is -4.4, and the y-intercept is 6.8, so all we need to do is plug in -4.4 instead of m and 6.8 instead of b:
\(\longmapsto\)\(\fbox{y=-4.4x+6.8}\) (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
\(\bf{-MistySparkles^**^*\)
what is the unit rate for 3/8 mile in 3/4 hour
Answer:
The answer to the question provided is
\( \frac{1}{2} \)
a certain airline requires that carry-on luggage be such that the sum of the three dimensions is at most 120 centimeters. use calculus to find the dimension of the square-ended rectangular package of greatest volume that meets this requirement.
The dimensions of the square-ended rectangular package with the greatest volume that meets the airline's carry-on luggage requirement are approximately 40 centimeters for each side.
To maximize the volume, we can consider the dimensions of the rectangular package as variables. Let's denote the dimensions as x, y, and z. According to the given requirement, the sum of the three dimensions is at most 120 centimeters, so we have the constraint x + y + z ≤ 120.
The volume of the rectangular package is given by V = x × y × z. To find the maximum volume, we need to maximize this function subject to the constraint.
Using calculus, we can solve this optimization problem by forming the Lagrangian function L(x, y, z, λ) = x × y × z + λ × (x + y + z - 120), where λ is the Lagrange multiplier.
We then take partial derivatives of L with respect to x, y, z, and λ, set them equal to zero, and solve the resulting equations to find the critical points.
After solving the equations, we can determine that the dimensions of the square-ended rectangular package with the greatest volume that meets the requirement are approximately x ≈ y ≈ z ≈ 40 centimeters.
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Anh's math book costs $26.62 less than her art book cost. Her math book costs $83.38. How much did her art book cost
PLEASE HELP MEEEEEEE FAST PLEASEEE IM REALLY DESPERATE SORRY BUT PLEASE
Answer:
$110
Step-by-step explanation:
If her art book costs $26.62 less than her math book, and her math book costs $83.38, then all you have to do is add 26.62 to 83.28. Then the answer would be 110.
Suggest a variables control chart in the Education field.
Provide the metric and how it is calculated along with how this
information would be tracked and interpreted.
A suggested variable control chart in the education field is a Student Attendance Rate Control Chart. This chart tracks the attendance metric and calculates it as the percentage of students present in a given time period. The information would be tracked regularly, and variations in attendance rates would be interpreted to identify trends and address potential issues.
The Student Attendance Rate Control Chart is a valuable tool in monitoring and managing attendance in educational institutions. The metric tracked on this chart is the attendance rate, which is calculated as the percentage of students present in a specific time period, such as daily, weekly, or monthly.
To track the attendance rate, the educational institution would collect attendance data for each class or session and calculate the percentage of students present. This data can be collected manually or through an automated attendance tracking system. The attendance rate for each time period is plotted on the control chart, allowing for visual representation and tracking over time.
Interpreting the information on the control chart involves analyzing the patterns and variations in the attendance rate. A stable attendance rate would indicate consistent student attendance, while fluctuations or downward trends could indicate potential issues that need attention. By monitoring the control chart, educational institutions can identify periods of low attendance, investigate the reasons behind it, and take appropriate actions such as implementing interventions or improving communication with students and parents to improve attendance rates. The control chart provides a visual representation of attendance patterns and enables proactive measures to be taken to address any attendance-related concerns.
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A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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If A=( a,b)and B= (2,4,6} find n(A) * n(B)
Answer:
n(a) X n( b) = 6
Step-by-step explanation:
n(a)= 2
n(b) = 3
n(a) X n( b) = 2x3
=6,,
- If you can buy one jar of crushed ginger
for $1.99, then how many can you buy
with $5.97?
A) 12
B) 1
C) 3
D) 2.
Answer:
C, 3
Step-by-step explanation:
What is p of 11=8-6p-3
Mean square error = 4.133, Sigma (xi-xbar) 2= 10, Sb1 =a. 2.33b.2.033c. 4.044d. 0.643
The value of Sb1 can be calculated using the formula Sb1 = square root of mean square error / Sigma (xi-xbar) 2. Substituting the given values, we get Sb1 = square root of 4.133 / 10. Simplifying this expression, we get Sb1 = 0.643. Therefore, option d is the correct answer.
The mean square error is a measure of the difference between the actual values and the predicted values in a regression model. It is calculated by taking the sum of the squared differences between the actual and predicted values and dividing it by the number of observations minus the number of independent variables.
Sigma (xi-xbar) 2 is a measure of the variability of the independent variable around its mean. It is calculated by taking the sum of the squared differences between each observation and the mean of the independent variable.
Sb1, also known as the standard error of the slope coefficient, is a measure of the accuracy of the estimated slope coefficient in a regression model. It is calculated by dividing the mean square error by the sum of the squared differences between the independent variable and its mean.
In conclusion, the correct answer to the given question is d. Sb1 = 0.643.
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Having trouble can someone help me solve this
The function f(x) is vertically compressed to form g(x)
How to compare both functions?The functions are given as
f(x) =x^2
g(x) =3x^2
Substitute f(x) =x^2 in g(x) =3x^2
g(x) =3f(x)
This means that the function f(x) is vertically compressed to form g(x)
See attachment for the function g(x)
Also, both functions have the same domain and range
The complete table is:
x -2 -1 0 1 2
g(x) 12 3 0 3 12
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b) Find the value of 5^-3 x 2^-1
Answer:
1/250
Step-by-step explanation:
5^-3 × 2^-1
Solve the powers.
1/5³ × 1/2
1/125 × 1/2
Multiply.
1/250
Answer:
0.004
Step-by-step explanation:
\(5^{-3}*2^{-1}=\\0.008*0.5=\\0.004\)
What is the cost in dollars and cents for each chocolate bar?
Answer:
$1.45
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Sara and her dad visit yo yo yogurt again this time the scale says that Sara has 14 ounces of vanilla yogurt in her cup
Total pounds of yogurt they buy (as a mixed number) : \(1\dfrac{5}{16}\)
What will the Yogurt weigh?Mass is one of the principal quantities, which is related to the matter in the object
The main mass unit consists of 7 units of other than other units of mass such as quintals, tons, pounds, ounces:
Kilogram, kg
Hectogram, hg
Decagram, dag
gram, g
Decigram, dg
centigram, cg
milligrams, mg
Each unit descends then multiplied by 10, and if one unit increases then divided by 10
Fraction numbers are known as numerator and denominator
On a number line, fractions are expressed in points that lie between two integers
The general form of fractions is
\(\dfrac{a}{b}\)
Mixed fractions consist of integers and ordinary fractions
A mixed number is a combination of a whole number and a fraction
Sara has 14 ounces of vanilla yogurt
Her father's yogurt weighs half of much, so her fathers have yogurt :
= 0.5 x 14 ounces
= 7 ounces
Total ounces of yogurt they buy
= 14 + 7 = 21 ounces
for 1 ounces (oz) the conversion = 0.0625 pounds(lbs)
So for 21 ounces there will be
= 21 x 0.0625
= 1.3125 pounds
if we express as a mixed number , it will be :
\(=\dfrac{13125}{10000}\)
\(=1\dfrac{5}{16}\)
Hence Total pounds of yogurt they buy (as a mixed number) : \(1\dfrac{5}{16}\)
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use the Simplex method to find the minimum value of the objective function w = 9x1 + 6x2 Subject to the constraints: x1 +2x2 ≥ 5 2x1 + 2x2 ≥ 8 2x2 +x2 ≥ 6 Where x1 ≥ 0 and x2 ≥ 0
The optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.
To solve this linear programming problem using the Simplex method, we first need to convert it into standard form by introducing slack variables.
Our problem can be rewritten as follows:
Minimize w = 9x1 + 6x2
Subject to:
x1 + 2x2 + x3 = 5
2x1 + 2x2 + x4 = 8
x1 + 2x2 + 2x3 = 6
where x1, x2, x3, and x4 are all non-negative variables.
Next, we set up the initial simplex tableau:
Basic Variables x1 x2 x3 x4 RHS
x3 1 2 1 0 5
x4 2 2 0 1 8
x5 1 2 2 0 6
z -9 -6 0 0 0
The last row represents the coefficients of the objective function. The negative values in the z-row indicate that we are minimizing the objective function.
To find the pivot column, we look for the most negative coefficient in the z-row. In this case, the most negative coefficient is -9, which corresponds to x1. Therefore, x1 is our entering variable.
To find the pivot row, we calculate the ratios of the RHS values to the coefficients of the entering variable in each row. The smallest positive ratio corresponds to the pivot row. In this case, the ratios are:
Row 1: 5/1 = 5
Row 2: 8/2 = 4
Row 3: 6/1 = 6
The smallest positive ratio is 4, which corresponds to row 2. Therefore, x4 is our exiting variable.
To perform the pivot operation, we divide row 2 by 2 to make the coefficient of x1 equal to 1:
Basic Variables x1 x2 x3 x4 RHS
x3 0 1 1 -1 1
x1 1 1 0 1/2 4
x5 0 1 2 -1 2
z 0 -3 9 9/2 -18
We repeat the process until all coefficients in the z-row are non-negative. In this case, we can stop here because all coefficients in the z-row are non-negative.
Therefore, the optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.
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What is it? Do y’all know
Answer: I believe it is ZERO
Step-by-step explanation:
Answer:
No Solution
Source: cymath.com
Step-by-step explanation:
What is the approximate angle made by the stairway with the ground?
Answer: C
Step-by-step explanation:
\(\sin x=\frac{13}{18}\\\\x=\sin^{-1} \left(\frac{13}{18} \right) \approx \boxed{46.24^{\circ}}\)
Help plz ASAP for 20pts
Answer:
Not sure if this is correct but this is what I found.
area of sector=74.84
radius = 8
angle of sector=?
74.84=1/2×8²×angle of sector
74.84=32 × angle of sector
74.84/32= angle of sector
2.33875=angle of sector
Step-by-step explanation:
Sorry if it is incorrect.
3. Find the radius. C = 94 in.
Answer:
14.968152.....
For pie I used 3.14 btw
PLEASE HELP (WILL MARK BRANLIEST)
Luis bought a 2-hour calling card while on vacation. He has used (x) amount of minutes to call home, already.
Write an expression to represent the amount of minutes Luis has left to use on his calling card.
Answer:
minutes left = 120 - x (minutes used)
Step-by-step explanation:
1 hour = 60 minutes
minutes left = 2 hr x 60 minutes /hr - x (minutes used)
minutes left = 120 - x (minutes used)
1/5 divied by 2 as a fraction
The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.
What is 1/5 divied by 2 ?Given the expression in the question;
1/5 divied by 2
1/5 ÷ 2
To simplify, multiply 1/2 by the reciprocal of 2
1/5 ÷ 2
1/5 × 1/2
Simplify
( 1 × 1 ) / ( 5 × 2 )
( 1 ) / ( 5 × 2 )
Multiply 5 and 2
( 1 ) / ( 10 )
1/10
Therefore, the simplified form is 1/10.
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Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?
4x + 5y = –100
5x + 4y = 80
4x + 5y = 16
5x + 4y = 20
Answer:
5x + 4y = 80
Step-by-step explanation:
First, let us look at the given:
x = The number of songs purchased
y = The remaining balance of Renata's gift card
Coordinates:
1. (16,0)
2. (0,20)
Now let's look at the unknown:
Slope =?
Since we have the coordinates we can easily apply the slope formula
Now that we have our slope we can use either point-slope formation or slope-intercept formation, just pick whichever one you're comfortable with.
Point-slope formation
y - y1 = slope (x - x1)
Now just plug in the numbers:
y - 0 = 20/-16 (x - 16)
Now you multiply both sides by -16 to get rid of the fraction
-16(y - 0) = -16 (20/-16) (x - 16)
-16y - 0 = 20 (x - 16)
-16y = 20x - 320
Now subtract 20 from both sides.
-16y - 20x = 20x - 20x - 320
-20x - 16y = -320
Now we need to simplify both sides so we divide both sides by 4
-5x - 4y = -80
Now, remember, one of the rules of standard formation is that the coefficient of x cannot be smaller than zero. So you need to multiply both sides by -1.
-1 (-5x - 4y) = (-80) -1
5x + 4y = 80
Answer:
B
Step-by-step explanation:
i think its b cuz yea
Please please please help :( Just plz I’m begging; show an equation and explanation to this please T-T
This is my fourth time posting this and no one did so correctly or they just didn’t understand please someone help
Angles B and D are corresponding angles. This means D = B since corresponding angles are congruent when we have parallel lines.
Then note how D+E = 180 as these two angles form a straight angle.
Replace D with B getting B+E = 180 (this is the substitution property).
Alternatively, you can say that G = E and B+G = 180 to lead to B+E = 180. There are many other routes to take as well.
If a point (x, y, z) is to be translated by an amount dx, dy and dz respectively, then what will be the value of the new translated points (x1, y1, z1)?
a) x1 = x
y1 = y
z1 = z
b) x1 = dx
y1 = dy
z1 = dz
c) x1 = x + dx
y1 = y + dy
z1 = z + dz
d) x1 = x – dx
y1 = y – dy
z1 = z – dz
according to question The correct answer is (c) x1 = x + dx, y1 = y + dy, z1 = z + dz.
To translate a point (x, y, z) by an amount dx, dy, and dz, we need to add these amounts to the corresponding coordinates of the point. Therefore, the new translated point will have coordinates (x+dx, y+dy, z+dz), which is option (c).
Option (a) is incorrect because it is the original point without any translation.
Option (b) is incorrect because it specifies that the new point will have coordinates (dx, dy, dz), which is not correct.
Option (d) is incorrect because it specifies that we need to subtract the translation amounts from the original coordinates, which would actually give the opposite direction of the desired translation.
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if it wants to reduce the dollars flowing out of the country, the united states can limit the number of japanese cars being imported by imposing a(n)
if it wants to reduce the dollars flowing out of the country, the United States can limit the number of Japanese cars being imported by imposing an Import Quota.
Import Quota:
An import quota is a type of trade restriction that places a physical limit on the amount of goods that can be imported into a country during a specific period of time. Like other trade restrictions, quotas are generally used to the benefit of commodity producers in a given economy (protectionism). The essence of import quotas is to limit the amount of foreign goods that can be brought into a country. Quotas work by allowing only those authorized through a license or government contract to bring in the amount specified in the contract. When the quantity specified in the quota is reached, no more goods can be imported during this period.
There are also quota insurance programs where liability and premiums are distributed proportionately among insurers. For example, three companies have a $1,000,000 fire insurance policy per quota, Company A receives 50% ($500,000), Company B receives 30% ($300,000), and Company C receives 20% ($200,000). If the annual bonus is $5,000, Company A will receive $2,500, Company B will receive $1,500 and Company C will receive $1,000. Company A pays 50%, company B 30% and company C 20% for each claim.
Complete Question:
To reduce dollars flowing out of the country, the United States can take measures to limit the number of foreign cars imported from Japan by imposing a(n).
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The cost of renting a moving van is $39.99 plus an additional $0.19 for each mile driven. which expression represents the cost of renting the truck for m miles? $39.99m + $0.19 $39.99m + $0.19m $39.99 + $0.19 $39.99 + $0.19m
The required equation for the cost of renting a moving van is
y = $39.99 + $0.19 m
According to the question we have been given that
Rental fee = $39.99
Additional charge = $0.19
Let the y represent the cost of renting a moving van
and m represent the number miles driven by the van.
The expression can be formed as
y = (fixed charge) + m*(additional charge)
y = $39.99 + $0.19 m
hence the required equation for the cost of renting a moving van is
y = $39.99 + $0.19 m
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What is the range in the following data? 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4 Your Answer:
The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.
To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]
To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.
From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.
So, Minimum Value = 1.0
Maximum Value = 11.2
Range = Maximum Value - Minimum Value
= 11.2 - 1.0
= 10.2
Therefore, the range of the given data is 10.2.
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i need help with this
Answer:
7
Step-by-step explanation:
the square root of 49 is 7