Answer:
i believe by creating radii of equal lengths.
Step-by-step explanation:
it gives a path to create an angle congruent to angle APB. The angle APB would have the same radii (BP and AP) and the same width as the congruent angle that would be created.
Wish you good luck.
Analyzing Wages-Plus-Commission Pay
Maybelle works in the shoe department for a high-end
store. She earns $15 per hour for at least 40 hours per
week. On top of that, she earns 10% commission for each
pair of shoes she sells. She is expected to sell $2,500
worth of shoes every week.
What will Maybelle earn in wages in a typical week?
How much commission will Maybelle earn if she sells
$3,000 of shoes in one week?
v
The next week, customers return $1,000 worth of
shoes. How much money will be deducted from
Maybelle's paycheck?
With an economic downturn, sales slump. As a result,
Maybelle will likely
a)In a typical week, Maybelle will earn a total of: $600 + $250 = $850
b) Her total earnings for the week would be: $600 + $300 = $900
c) Her paycheck will be reduced by $100.
d) Her wage earnings should remain the same assuming she still works at least 40 hours per week.
To calculate Maybelle's earnings in a typical week, we first need to determine the minimum number of hours she works. Since she earns $15 per hour for at least 40 hours per week, her minimum wage earnings are:
$15 x 40 = $600
In addition to her wage earnings, Maybelle earns a commission of 10% for each pair of shoes she sells. Since she is expected to sell $2,500 worth of shoes every week, her commission earnings are:
$2,500 x 0.10 = $250
b) If Maybelle sells $3,000 worth of shoes in one week, her commission earnings would be:
$3,000 x 0.10 = $300
On top of her wage earnings of $600 (based on working at least 40 hours at $15 per hour)
c) If customers return $1,000 worth of shoes the next week, Maybelle's commission earnings will not be affected. However, her wage earnings will be reduced by the amount of the returned shoes, which is $1,000 x 0.10 = $100.
d) With an economic downturn and sales slump, Maybelle's earnings from commission will likely decrease since she will sell fewer shoes. However, her total earnings will likely decrease due to the decrease in commission earnings.
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what is the percentage of profit of $350 on a $1200 investment
The percentage of profit on a $1200 investment resulting in a $350 profit is 29.17%.
The percentage of profit on a $1200 investment that results in a $350 profit can be calculated using the formula:
Percentage of profit = (Profit / Investment) x 100
In this case, the profit is $350 and the investment is $1200. Plugging these values into the formula:
PercThe percentage of profit on a $1200 investment that results in a $350 profit can be calculated using the formula:
Percentage of profit = (Profit / Investment) x 100
In this case, the profit is $350 and the investment is $1200. Plugging these values into the formula:
Percentage of profit = (350 / 1200) x 100
Calculating this expression gives us:
Percentage of profit = 0.2917 x 100 = 29.17%
Therefore, the percentage of profit on a $1200 investment resulting in a $350 profit is 29.17%.
To calculate the percentage of profit, we divide the profit by the investment and then multiply by 100 to express it as a percentage. In this case, the profit is $350 and the investment is $1200. Dividing $350 by $1200 gives us 0.2917. Multiplying this by 100 gives us 29.17%. This means that the profit of $350 represents 29.17% of the initial investment of $1200.entage of profit = (350 / 1200) x 100
Calculating this expression gives us:
Percentage of profit = 0.2917 x 100 = 29.17%
Therefore, the percentage of profit on a $1200 investment resulting in a $350 profit is 29.17%.
To calculate the percentage of profit, we divide the profit by the investment and then multiply by 100 to express it as a percentage. In this case, the profit is $350 and the investment is $1200. Dividing $350 by $1200 gives us 0.2917.
Multiplying this by 100 gives us 29.17%. This means that the profit of $350 represents 29.17% of the initial investment of $1200.
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Steven earns extra money babysitting. He charges $31.00 for 4 hours and $62.00 for 8 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
The equation is y = 7.75x, where x is the number of hours Steven babysits and y is the amount he charges.
To represent the relationship between the number of hours Steven babysits (x) and the amount he charges (y), we can use a linear equation in the form of y = mx + b, where m is the slope and b is the y-intercept.
From the given information, we can identify two data points:
(4, 31.00) and (8, 62.00)
Using these points, we can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (62.00 - 31.00) / (8 - 4)
m = 31.00 / 4
m = 7.75
Now, we can substitute one of the points and the slope into the equation to find the y-intercept (b).
Using the point (4, 31.00):
31.00 = 7.75(4) + b
31.00 = 31.00 + b
b = 0
Therefore, the equation that represents the relationship between the number of hours Steven babysits (x) and the amount he charges (y) is:
y = 7.75x
The equation is y = 7.75x, where x is the number of hours Steven babysits and y is the amount he charges.
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NEED NOW PLEASE HELP OUT
Answer:
x=50
Step-by-step explanation:
Make this equal to 180.
x+3x-35+x-35 = 180
5x = 180 + 70
5x=250
x=50
the population of a certain state can be estimated by the equation p=80.7t+18,312.3, where p represents the population of the state in thousands of people t years since 2010
The estimated population of the state in the year 2022 is 19,280,700 people.
The given equation represents the population of a certain state as a function of time, where p is the population in thousands of people and t is the number of years since 2010.
The equation is given as p = 80.7t + 18,312.3.
To estimate the population of the state, we substitute the value of t into the equation. For example, if we want to estimate the population in the year 2022 (12 years since 2010), we substitute t = 12 into the equation:
p = 80.7(12) + 18,312.3
= 968.4 + 18,312.3
= 19,280.7.
The estimated population of the state in the year 2022 is 19,280,700 people.
We can estimate the population for any given year by substituting the corresponding value of t into the equation.
It's important to note that the population is given in thousands of people, so we multiply the final result by 1,000 to obtain the population in actual numbers.
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What is 1,0000 ÷ 2,0000
Solve each equation for the angle in standard position, for 0° ≤ 0 < 360° (nearest tenth, if necessary).
a) tan 0 = 1 / √3
b) 2cos 0= √3
Answer:
Step-by-step explanation:
a) To solve the equation tan θ = 1/√3, we can find the angle whose tangent is 1/√3 by taking the inverse tangent (arctan) of 1/√3.
θ = arctan(1/√3)
θ ≈ 30.0°
Therefore, the angle in standard position that satisfies tan θ = 1/√3 is approximately 30.0°.
b) To solve the equation 2cos θ = √3, we can isolate the cosine term by dividing both sides of the equation by 2.
cos θ = √3 / 2
Now, we can find the angle whose cosine is √3/2 by taking the inverse cosine (arccos) of √3/2.
θ = arccos(√3/2)
θ ≈ 30.0°
Therefore, the angle in standard position that satisfies 2cos θ = √3 is approximately 30.0°.
Use the 2021 marginal tax rates in the table to compute the tax owed by the person with the given filing status and taxable income.
Single with a taxable income of $61,000
The tax owed is $_____.
(Type an integer or a decimal. Round to the nearest cent as needed.)
The amount of tax owed is $13,420
How to determine the amount of tax owedFrom the question, we have the following parameters that can be used in our computation:
Single with a taxable income of $61,000
Using the table of marginal tax, we have
Tax = 22%
So, we have
Tax = 22% * 61000
Evaluate
Tax = 13420
Hence, the amount of tax owed is $13,420
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The volume of this triangular prism is 1,170 cubic feet. What is the value of m?
The calculated value of m in the triangular prism is 13
How to calculate the value of m?From the question, we have the following parameters that can be used in our computation:
The triangular prism
Where, we have
Volume = 1170
The volume of the triangular prism is calculated as
Volume = Base area * Height
So, we have
1/2 * m * 18 * 10 = 1170
Evaluate the products
This gives
90m = 1170
So, we have
m = 13
Hence, the value of m is 13
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Find the zeros of the function shown below
Answer:
x = - 5 , x = 2
Step-by-step explanation:
f(x) = x² + 3x - 10
to find the zeros let f(x) = 0 , that is
x² + 3x - 10 = 0
consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)
the factors are + 5 and - 2 , since
5 × - 2 = - 10 and 5 - 2 = + 3 , then
(x + 5)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x + 5 = 0 ( subtract 5 from both sides )
x = - 5
x - 2 = 0 ( add 2 to both sides )
x = 2
the zeros are x = - 5 , x = 2
Question 1 (11 point) What are the x-intercepts of the function y=(x-5Xx+3)? ( Blank 1- .0) ( 0)
The x-intercepts of the function y = (x-5)(x+3) are 5 and -3.
To find the x-intercepts of the function y = (x-5)(x+3), we need to set y equal to zero and solve for x.
The x-intercepts are the values of x where the graph of the function intersects or crosses the x-axis.
Set y = 0:
0 = (x-5)(x+3)
Apply the zero-product property:
The product of two factors is equal to zero if and only if at least one of the factors is equal to zero.
Therefore, we can set each factor equal to zero and solve for x.
Setting x-5 = 0:
x - 5 = 0
x = 5
Setting x+3 = 0:
x + 3 = 0
x = -3.
The x-intercepts of the function y = (x-5)(x+3) are x = 5 and x = -3.
These are the values of x where the graph of the function crosses the x-axis.
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The data set shows the ages of everyone in a dance class.
4, 17, 17, 17, 17, 17, 18, 18, 18
Select the statement that correctly describes the data.
3 of 5 QUESTIONS
The typical value is 9 because that is the total number of people.
The typical value is 18 because it is the maximum.
The typical value is 4 because it is the minimum.
The typical value is 17. Most values are close to 17, except 4, which is an
extreme value.
Answer: The statement that correctly describes the data is:
The typical value is 17. Most values are close to 17, except 4, which is an extreme value.
This is because the value 17 appears most frequently in the data set, making it the mode or the typical value. The value 4 is an extreme value as it is the minimum value in the data set. The maximum value of 18 is not the typical value because it is not as representative of the overall distribution of ages in the data set as the mode, which is 17.
Step-by-step explanation:
Organizers of an outdoor summer concert in Toronto are concerned about the weather conditions on the day of the concert. They will make a profit of $40,000 on a clear day and $14,000 on a cloudy day. They will make a loss of $5,000 if it rains. The weather channel has predicted a 60% chance of rain on the day of the concert. Calculate the expected profit from the concert if the likelihood is 14% that it will be sunny and 26% that it will be cloudy.
Answer:
$6240
Step-by-step explanation:
given likelihoods:
sunny day = 14% = 0.14
cloudy day = 26% = 0.26
rainy day = 60% = 0.60
profits:
profit on a sunny day = $40,000
profit on a cloudy day = $14,000
Loss on a rainy day = -$5,000
expected profit = (probability of sunny day * profit on sunny day) + (probability of cloudy day * profit on cloudy day) + (probability of rainy day * loss on rainy)
expected profit = (0.14 * $40,000) + (0.26 * $14,000) + (0.60 * -$5,000)
=6240
I can’t figure this out. Please help
Answer:
Relative maximum at x=0; Relative minimum at x=8/3
Step-by-step explanation:
To find the relative maximums and the relative minimums, you must first find the first derivative of the function. The first derivative of this function is 6x^2-16x. Simply it and you get 2x(3x-8). X would be equal to 0 and 8/3. Next, make a number line where you put 0 and 8/3 have a value of zero.
+ - +
-------------------0----------------------------8/3-----------------------
Plug in a value of x<0 to get the region left of 0. Say we use -1, we get -2(-3-8), which is positive, meaning that it is increasing there. From 0 to 8/3, if we use 1, we get 2(3-8), which is decreasing. If we use 3, we get 6(9-8), which is increasing. From this, we can see that when x=0, the graph has a relative maximum. When x=8/3, the graph has a relative minimum.
Consider the transformation.
2 trapezoids have identical angle measures but different side lengths. The first trapezoid has side lengths of 4, 2, 6, 2 and the second trapezoid has side lengths of 8, 4, 12, 4.
Which statement about the transformation is true?
The true statement about the transformation is that the second trapezoid is a dilation of the first trapezoid with a scale factor of 2.
The given transformation involves two trapezoids with identical angle measures but different side lengths. Let's analyze the two trapezoids and determine the statement that is true about the transformation.
First Trapezoid:
Side lengths: 4, 2, 6, 2
Second Trapezoid:
Side lengths: 8, 4, 12, 4
To determine the relationship between the side lengths of the two trapezoids, we can compare the corresponding sides.
Comparing the corresponding sides:
4 / 8 = 2 / 4 = 6 / 12 = 2 / 4
We can observe that the corresponding sides of the two trapezoids have the same ratio. This indicates that the side lengths of the second trapezoid are twice the lengths of the corresponding sides of the first trapezoid. Therefore, the statement that is true about the transformation is:
The second trapezoid is a dilation of the first trapezoid with a scale factor of 2.
A dilation is a type of transformation that produces an image that is the same shape as the original figure but a different size. In this case, the second trapezoid is obtained by scaling up the first trapezoid by a factor of 2 in all directions.
This transformation preserves the shape and angle measures of the trapezoid but changes its size. The corresponding sides of the second trapezoid are twice as long as the corresponding sides of the first trapezoid.
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which number best represents the slope of the graphed line?
A. -5
B. -1/5
C. 1/5
D. 5
Answer:
The slope of the graphed line is A. -5
Step-by-step explanation:
Since when we move one step in x direction, we move 5 steps downwards in y direction, so, the slope is,
m = y/x
m = -5/1
m = -5
Which type of conic section is defined by the equation:... 100pts
Answer:
This is an equation of a parabola.
[tex](y+6)^2=4(x+1)[/tex]
Step-by-step explanation:
A conic section is a curve obtained by the intersection of a plane and a cone. The three major conic sections are parabola, hyperbola and ellipse (the circle is a special type of ellipse).
The standard equations for hyperbolas and ellipses all include x² and y² terms. The standard equation for a parabola includes the square of only one of the two variables.
Therefore, the equation y² - 4x + 12y + 32 = 0 represents a parabola, as there is no x² term.
As the y-variable is squared, the parabola is horizontal (sideways), and has an axis of symmetry parallel to the x-axis.
The conic form of a sideways parabola is:
[tex]\boxed{(y-k)^2=4p(x-h)}[/tex]
where:
(h, k) is the vertex.(h+p, k) is the focus.x = h-p is the directrix.To write the given equation in conic form, we need to complete the square for the y-variable.
Rearrange the equation so that the y-terms are on the left side:
[tex]y^2 + 12y = 4x - 32[/tex]
Add the square of half the coefficient of the y-term to both sides of the equation:
[tex]y^2 + 12y+\left(\dfrac{-12}{2}\right)^2 = 4x - 32+\left(\dfrac{-12}{2}\right)^2[/tex]
[tex]y^2 + 12y+\left(-6\right)^2 = 4x - 32+\left(-6\right)^2[/tex]
[tex]y^2 + 12y+36 = 4x - 32+36[/tex]
[tex]y^2 + 12y+36 = 4x +4[/tex]
Factor the perfect square trinomial on the left side of the equation:
[tex](y+6)^2=4x+4[/tex]
Factor out the coefficient of the x-term from the right side of the equation:
[tex](y+6)^2=4(x+1)[/tex]
Therefore, the equation of the given conic section in conic form is:
[tex]\boxed{(y+6)^2=4(x+1)}[/tex]
where:
(-1, -6) is the vertex.(0, -6) is the focus.x = -2 is the directrix.The conic section of the equation y² - 9x + 12y + 32 = 0 is a parabola
Selecting the conic section of the equationThe given equation is
y² - 9x + 12y + 32 = 0
The above equation is an illustration of a parabola equation
The standard form of a parabola is
(x - h)² = 4a(y - k)²
Where
(h, k) is the center
While the general form of the equation is
Ax² + Dx + Ey + F = 0
In this case, the equation y² - 9x + 12y + 32 = 0 takes the general form
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21. Find the surface area of the figure below.
20 mm
17.mm
A. 969 mm²
B. 984 mm²
17 mm
C. 1,040 mm²
D. 1,105 mm²
Answer:
Step-by-step explanation:
solve this system of equations by using the elimination method x-5y=16 4x-2y=-8
Answer:
(- 4, - 4 )
Step-by-step explanation:
x - 5y = 16 → (1)
4x - 2y = - 8 → (2)
multiplying (1) by - 4 and adding to (2) will eliminate x
- 4x + 20y = - 64 → (3)
add (2) and (3) term by term to eliminate x
(4x - 4x) + (- 2y + 20y) = - 8 - 64
0 + 18y = - 72
18y = - 72 ( divide both sides by 18 )
y = - 4
substitute y = - 4 into either of the 2 equations and solve for x
substituting into (1)
x - 5(- 4) = 16
x + 20 = 16 ( subtract 20 from both sides )
x = - 4
solution is (- 4, - 4 )
The endpoints of AB are A (-7, -14) and B (5,10) . Into which ratio will each point divide AB ?
The point A divides the line segment AB into the ratio 3:1, while the point B divides it into the ratio 1:3.
1. To find the ratio in which each point divides AB, we need to calculate the distances from each endpoint to the dividing point.
2. Let's calculate the distance from point A to the dividing point. The x-coordinate of point A is -7, and the y-coordinate is -14. Similarly, the x-coordinate of point B is 5, and the y-coordinate is 10.
3. We'll use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by:
distance = sqrt((x2 - [tex]x1)^2 + (y2 - y1)^2)[/tex]
4. Applying the distance formula, we find the distance from point A to the dividing point:
[tex]distance_A[/tex] = sqrt((5 -[tex](-7))^2 + (10 - (-14))^2)[/tex]
= sqrt((5 + [tex]7)^2 + (10 + 14)^2)[/tex]
= sqrt([tex]12^2[/tex] + [tex]24^2[/tex])
= sqrt(144 + 576)
= sqrt(720)
= 12√5
5. Similarly, let's calculate the distance from point B to the dividing point:
[tex]distance_B[/tex] = sqrt((-7 - [tex]5)^2 + (-14 - 10)^2)[/tex]
= sqrt((-[tex]12)^2 + (-24)^2)[/tex]
= sqrt(144 + 576)
= sqrt(720)
= 12√5
6. The dividing ratio can be determined by comparing the distances from each endpoint to the dividing point. Since distance_A:distance_B = 3:1, we conclude that point A divides the line segment AB into the ratio 3:1, and point B divides it into the ratio 1:3.
Thus, the endpoints A and B divide the line segment AB into the ratios 3:1 and 1:3, respectively.
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Answer:
the ratio for point C is 1 : 2.
the ratio for point D is 3 : 1.
the ratio for point E is 2 : 1.
Step-by-step explanation:
I just got it right on the test
Find a, b,c, and d, such that the cubic f(x)=ax^3+bx^2+cx+d has a relative maximum at (-7, 163); has a relative minimum at (5, -125); and has a point of inflection at (-1, 19).
The cubic function with the desired properties is:
f(x) = (-3/4)x³ - (9/4)x² - (113/4)x + 63/4
To find the values of a, b, c, and d, we can use the given information about the relative maximum, relative minimum, and point of inflection.
Relative Maximum:
The point (-7, 163) is a relative maximum. At this point, the derivative of the cubic function is equal to zero. Taking the derivative of the cubic function, we have:
f'(x) = 3ax² + 2bx + c
Setting x = -7 and f'(-7) = 0, we get:
49a - 14b + c = 0
Relative Minimum:
The point (5, -125) is a relative minimum. At this point, the derivative of the cubic function is equal to zero. Taking the derivative of the cubic function, we have:
f'(x) = 3ax² + 2bx + c
Setting x = 5 and f'(5) = 0, we get:
75a + 10b + c = 0
Point of Inflection:
The point (-1, 19) is a point of inflection. At this point, the second derivative of the cubic function changes sign. Taking the second derivative of the cubic function, we have:
f''(x) = 6ax + 2b
Setting x = -1, we get:
-6a + 2b = 0
Solving the system of equations formed by the above three equations, we can find the values of a, b, c, and d.
49a - 14b + c = 0
75a + 10b + c = 0
-6a + 2b = 0
Solving these equations, we find:
a = -3/4
b = -9/4
c = -113/4
d = 63/4
Therefore, the cubic function with the desired properties is:
f(x) = (-3/4)x³ - (9/4)x² - (113/4)x + 63/4
If FE =14 find the length of BC
Please give a very in-depth explanation and I will mark Brainliest!!
HI Your answer is 42
I have calculated it you can trust me
Well you have marked right in the pic
PLEASE MARK AS BRAINLIEST
Guys i need help!! Im not understanding at all.
Answer:
H= [4 -1
4 0]
Step-by-step explanation:
Movimiento en linea recta
El movimiento en línea recta se refiere al desplazamiento de un objeto en una trayectoria rectilínea, es decir, sin cambios de dirección.
En este tipo de movimiento, la velocidad y la aceleración del objeto pueden variar, pero su dirección se mantiene constante a lo largo del recorrido.
El movimiento en línea recta puede ser uniforme o no uniforme. En el caso del movimiento uniforme, la velocidad del objeto es constante, lo que implica que el desplazamiento realizado en intervalos iguales de tiempo es también constante.
Por otro lado, en el movimiento no uniforme, la velocidad cambia a lo largo del tiempo, resultando en diferentes desplazamientos en intervalos de tiempo iguales.
La descripción matemática del movimiento en línea recta se basa en conceptos como la posición, la velocidad y la aceleración. La posición se refiere a la ubicación del objeto en relación a un punto de referencia, la velocidad representa la tasa de cambio de la posición y la aceleración indica la tasa de cambio de la velocidad.
El estudio del movimiento en línea recta es fundamental en la física y tiene aplicaciones en diversas áreas, como la mecánica, la cinemática, la dinámica y la física de partículas.
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Aschalew is able to do apiece of work in 15 days and Abay can do the same work in 20 daya. if they can work together for 4 days, what is the fraction of the work left?
Answer:
8/15
Step-by-step explanation:
1/15(4 + 1/20(4)
4/15 + 4/20 I can reduce 4/20 to 1/5
4/15 + 1/5
4/15 + 3/15 = 7/15
Together they can get 7/15 of the job done. 15/15 - 7/15 is 8/15.
That means that they have 8/15 left to do.
Helping in the name of Jesus.
Write the inequality and solve.
Negative nine times one more than a number is not as much as twelve times that number plus nine.
Answer:
-9(x+1) < 12x+9
if you need me to solve it here it is:
-9x - 9 < 12x + 9
+ 9 +9
-9x < 12x + 18
-12x -12x
-18x < 18
(divide by -18 on both sides)
x < - 1
Therefore, any number is that is greater than -1 will work for this inequality.
Hope this helps!
NEED HELP
Y
B
^^
CX
A
Previous Activity
N
Which would prove that AABC~ AXYZ? Select two
options.
OBA-BC-A
=
YX
YZ XZ
OBA = BC₁
YX
YZ
O
AC
XZ
=
=
BA
XX.
YX
AC
BC
BA = AE = 8C
YX
YZ
XZ
OBC=BA ₁ <=
XY
ZX
Next Activity
The conditions that prove that the triangles ΔABC and ΔXYZ are similar, ΔABC ~ ΔXYZ, based on the order of the lettering are;
BA/YX = BC/YZ = AC/XZ
AC/XZ = BA/YX, ∠A ≅ ∠C
What are similar triangles?Similar triangles are triangles that have the same shape (the same two or all three interior angles in each triangle) but in which may have different sizes.
Triangles are similar if they equivalent ratio for their sides and and if the angles in each triangle are congruent to the angles in the other triangle
Therefore, the conditions that indicates that two triangles are that one triangle is a scaled image of the other triangle, therefore, the ratio of the corresponding sides of the triangles are equivalent, which indicates;
ΔABC is similar to ΔXYZ if we get;
BA/YX = BC/YZ = AC/XZA condition that indicates that two triangle are similar is the Side Angle Side, SAS, similarity postulate, which states that two triangles are congruent if the ratio of two corresponding sides are equivalent and the angle between the two sides in the two triangles are congruent, therefore;
ΔABC is similar to ΔXYZ if we get;
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The physician’s order reads to administer Lasix 80 mg PO STAT. You have Lasix 20 mg tablets on hand. How many tablets will you administer to the patient ?
The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.
Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.
Number of tablets = Prescribed dose / Dosage strength per tablet
Number of tablets = 80 mg / 20 mg
Number of tablets = 4 tablets
Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.
Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.
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NEED HELP FASTT PLEASE
Answer:
x=8
Step-by-step explanation:
This is a triangle, all 3 angles should add up to 180 degrees. Since we already have an angle at 69 degrees (nice), and we know that this is an isosceles triangle, we can put it as 9y-3 = 69
9y = 72, y=8
Now, you know that two angles both have angles of 69, add it up and subtract it from 180. This gives a 42-degree angle of angle B. Make its equation equal to 42 degrees.
42 = 5x+2
40 = 5x
x=8
Hope this helps!
Find the limit (if the limit exists). Solve in two different ways.
The limit of the trigonometric expression is equal to 0.
How to determine the limit of a trigonometric expression
In this problem we find the case of a trigonometric expression, whose limit must be found. This can be done by means of algebra properties, trigonometric formula and known limits. First, write the entire expression below:
[tex]\lim_{\Delta x \to 0} \frac{\cos (\pi + \Delta x) + 1}{\Delta x}[/tex]
Second, use the trigonometric formula cos (π + Δx) = - cos Δx to simplify the resulting formula:
[tex]\lim_{\Delta x \to 0} \frac{1 - \cos \Delta x}{\Delta x}[/tex]
Third, use known limits to determine the result:
0
The limit of the trigonometric function [cos (π + Δx) + 1] / Δx evaluated at Δx → 0 is equal to 0.
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