The expression √(x²y²) when simplified is i. xy
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
√(x²y²)
When the expression is expanded, we have
√(x²y²) = √(x² * √(y²)
Evaluae the exponents in the expression
So, we have
√(x²y²) = x * y
Evaluae the products in the expression
So, we have
√(x²y²) = xy
Hence, the expression when simplified is i. xy
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The event coordinator asks you to determine how many students participated in th track and field day.the total number of students in 7th and eighth grade grade combined is 584; of the are seventh graders , and of them are eighth graders. If of the seventh graders participated in track and field day, and of the eighth graders participated? Describe the process you used to find your answer.
The total students participated in in track-and-field day is 485.
How to find total students participated?A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.
We have:
Total number of students combined = 584
5/8 of are seventh graders and 3/8 of are eighth graders
If 4/5 if the seventh graders participated in track-and-field day. Thus, the of number seventh graders participated in track-and-field day will be:
5/8 * 4/5 * 584 = 294
If 7/8 of the eighth graders participated. Thus, the of number eighth graders that participated will be:
3/8 * 7/8 * 584 = 191
total students participated = 294 + 191 = 485
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Complete Question
The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584. 5/8 of them are seventh graders and 3/8 of them are eighth graders. If 4/5 if the seventh graders participated in tack-and-field day and 7/8 of the eight graders participated, about how many total students participated? Describe the process you used.
What is the product?
(4x)(-3x³)(-7x³)
O -84x¹2
O-84x24
O 84x¹2
O 84x24
Answer:
-84x^7
Step-by-step explanation:
The product of (4x)(-3x³)(-7x³) is -84x^8.
To calculate the product, we multiply the coefficients together and add the exponents of the variables:
4 * (-3) * (-7) = 84
x^1 * x^3 * x^3 = x^(1+3+3) = x^7
Combining the coefficient and the variable, we get -84x^7.
Sound waves travel through the air at approximately 343 meters per second. A tuba player plays a constant note that has a wavelength of 4.61 meters.
Determine the period of the sound wave created by the tuba in seconds.
The period of the sound wave created by the tuba is approximately 0.0134 seconds.
The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:
v = λ × f
Where:
v = speed of sound (343 m/s)
λ = wavelength (4.61 m)
f = frequency (unknown)
To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:
v = λ / T
Rearranging the equation to solve for the period (T), we get:
T = λ / v
Substituting the given values, we have:
T = 4.61 m / 343 m/s
Calculating the value, we find:
T ≈ 0.0134 seconds
Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.
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Find the indicated angle.
?
6
6
9
A.) 9
B.)4
C.)28
D.)3
Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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1520−{64÷−4}−[37( √ 121+345)(43−|−583|)+405]−{1745÷5−64 }
AB is the line segment, M is the midpoint of AB. A is (-4,5) and M is (5, -1), what are the coordinates of B?
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -4}{2}~~~ ,~~~ \cfrac{ y +5}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M} }{(5~~,~~-1)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -4 }{2}=5\implies x-4=10\implies \boxed{x=14} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +5 }{2}=-1\implies y+5=-2\implies \boxed{y=-7}[/tex]
PLS HELP MEEEE PLSSS The number of defective watches manufactured by a watch company, with regard to the total number of watches manufactured for each
order, are shown in the scatter plot below.
Which of the equations below would be the line of best fit?
A. y = 1/5x
B. y = 1/50x
C. y = 1/50x-10
D. y = 1/50x+10
The equation line is y= 1/50x.
We have a graph from which we can take two points as
(100, 2) and (200, 4).
So, the slope of line
= (change in y)/ (change in x)
= (4-2)/ (200- 100)
= 2/ 100
= 1/50
Now, the equation line is
(y - 2)= 1/50 (x - 100)
y-2 = 1/50 x - 2
y= 1/50x
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. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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Subject: Foreign Source Income
Norah Johns has foreign source income of $30,000 during the current year. As the
foreign jurisdiction withholds 25 percent of such income, she only receives $22,500.
She has other income such that this foreign source income will be taxed at a marginal
federal tax rate of 29 percent. Determine the amount by which this foreign income
would increase Norah’s Taxable Income and federal Tax Payable, assuming that the
foreign source income (1) is non-business income and (2) is business income
Answer:
Step-by-step explanation:
To determine the amount by which Norah’s taxable income and federal tax payable would increase, we need to calculate the following:
The amount of foreign source income that will be included in Norah’s taxable income.
The federal tax payable on the foreign source income.
For non-business income:
The amount of foreign source income that will be included in Norah’s taxable income is $30,000.
The federal tax payable on the foreign source income is $6,525.
For business income:
The amount of foreign source income that will be included in Norah’s taxable income is $30,000.
The federal tax payable on the foreign source income is $8,700.
an academy:
1. Explain the concept of conservation of energy and provide examples to illustrate its
application.
According to the rational zero theorem, which is not possible zero of the function
(x)=2x^4-5x^3+10x^2-9
A. -9
B. -1/2
C. 1/3
D. 3
Answer:
C. 1/3
Step-by-step explanation:
You want to identify the rational number listed that cannot be a root of the given polynomial.
Rational root theoremPossible rational roots will be off the form ...
± (divisor of the constant) / (divisor of the leading coefficient)
ApplicationWhen the divisors are listed, this is ...
±{1, 3, 9}/{1, 2}
This shows you that 3 cannot be the denominator of any possible rational root.
1/3 is not a possible zero of the function
__
Additional comment
The list of possible roots is ±{1/2, 1, 3/2, 3, 9/2, 9}.
As it happens, neither of the two real roots is rational.
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50 POINTS FOR ANSWER AND BRAINLIEST
mukti step equation
Answer:
The answer is 53
Step-by-step explanation:
50+48+59+39+58=294
360-294=106
106/2=53
Answer:
53
Step-by-step explanation:
The sum of exterior angles of any polygon is 360 degrees
x + x + 59 + 48 + 50 + 39 + 58 = 360
2x + 254 = 360
x = (360 - 254)/2 = 53
There is a pair of parallel sides in the following shape.
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=7\\ b=3\\ h=3 \end{cases}\implies A=\cfrac{3(7+3)}{2}\implies A=15[/tex]
how do i do this? i have test on it tomorrow
The measure of the angle ∠ADC is 36°.
Given that a circle T, the inscribed angle ∠ABC = 72°, we need to find the measure of the angle ∠ADC,
So, according to the inscribed angle theorem,
2 ∠ABC = arc AC
arc AC = 144°
Now, since the whole circumference is 360°,
So,
arc ADC = 360° - arc AC
arc ADC = 216°
So,
∠ADC = 1/2 [arc ADC - arc AC]
∠ADC = 1/2 [216° - 144°]
∠ADC = 36°
Hence the measure of the angle ∠ADC is 36°.
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find the ordered pair
The ordered pair that is a solution of the system is (-3, -3), the second option.
Which ordered pair is a solution of the system of inequalities?There are two ways of finding this.
You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.
Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.
Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).
We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)
So that point is the solution.
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can you please explain this in detail, there is a similar question to this on my test, the other two options are 250° or 270°
The arc angle WVY in the circle is 250 degrees.
How to find the arc angle?The theorem of intersecting tangent angles states that the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's use this theorem to find the arc angle WVY.
Hence,
70 = 1 / 2 (10a - (4a + 10))
70 = 1 / 2 (6a - 10)
70 = 3a - 5
70 + 5 = 3a
3a = 75
divide both sides of the equation by 3
a = 75 / 3
a = 25
Therefore,
arc angle WVY = 10(25)
arc angle WVY = 250 degrees
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A car rental company charge $50 a day and 20 cents per mile for renting a car. Let y be the total rental charge (in dollar) for a car for one day and x be the miles driven. The equation for the relationship between x and y is y = 50 + 20x How much will a person pay who rents a car for one day and drives it 100miles
Answer:$2050.
Step-by-step explanation:
To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:
y = 50 + 20x
y = 50 + 20(100)
y = 50 + 2000
y = 2050
Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.
what is the GCF of 36+60
Answer:
The GCF (Greatest Common Factor) of two numbers is the largest number that divides both of them. In this case, the GCF of 36 and 60 is 12.
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Beridze Manufacturing expects to produce 2,400 units in January and 3,700 units in February. Beridze budgets $45 per unit for direct materials. The amount of indirect materials needed for production has been determined to be insignificant and will therefore not be considered in the calculation. The balance in the Raw Materials Inventory account (all direct materials) on January 1 is $39,150. Beridze desires the ending balance in Raw Materials Inventory to be 10% of the next month's direct materials needed for production. Desired ending balance for February is $50,200. What is the cost of budgeted purchases of direct materials needed for January?
Question content area bottom
Part 1
A.$ 108 comma 000
$108,000
B.$ 79 comma 650
$79,650
C.$ 124 comma 650
$124,650
D.$ 85 comma 500
A
Step-by-step explanation:
What is the 24th term of -21, -14,-7,0,7,…
Answer:
140
If that's wrong, try 147
Step-by-step explanation:
With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):
[tex]y=7x-28\\[/tex],
where our m (slope) is 7, and our b (y-intercept) is -28.
If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.
Hope this helps!
c. Ultimate angles are equal d. Both (b) & (C) 92. Two years ago father was 3 times as old as his son and 2 years later twice his age will be five times of his son. Find their present ages. a. 14yrs, 36yrs b. 12yrs, 36yrs c. 14yrs, 36yrs d. 14yrs, 38yrs
Their present ages are Option d. 14yrs, 38yrs
How to determine the valueNote that algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients
From the information given, we have that;
Let son's age = x
Two years ago son's age= x-2.
His Father's age at that time = 3(x-2).
Present age of Father = 3x-6+2
collect like terms, we have that;
Present age of father =3x-4
Two years hence father's age=3x-4+2=3x-2.
Two years hence son's age = x+2.
Given that;
-5×(x+2)=2 ×(3x-2)
expand the bracket, we get;
5x + 10= 6x - 4
collect like terms
10+4=6x-5x
14=x
Son's age= 14 years.
Father's age: 38 years.
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Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a z-score of 1.8.
z-score
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75 80 78.81 81.59 84.13
z-score 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0
Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72
z-score
2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0
Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87
1. The percentage of data items below a z-score of 1.8 is 96.41%.
2. The percentage of data items above a z-score of 1.8, is 3.59%.
How did we arrive at the percentage?To find these percentages, we can look up the z-score of 1.8 is located in the row labeled "1.8" and the column labeled "Percentile."
The value in this cell is 96.41. This means that 96.41% of the data items in the normal distribution table will have a z-score that is less than or equal to 1.8.
P(z = 1.8) = 96.41%.
To find the percentage above 1.8
100 - 96.41 = 3.59%.
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Determine the equations of the following lines:
1. Parallel to x -3y = 9 and passing through the point (2;6)
2. Perpendicular to y + 1/4x -5 = 0 and passing though that point (-3;5)
Answer:
1) x - 3y = -16
2) 4x - y = -17
Step-by-step explanation:
Question 1To determine the equation of a line that is parallel to x - 3y = 9 and passes through the point (2, 6), we first need to find the slope of x - 3y = 9.
To do this, rearrange the equation so that it is in slope-intercept form.
Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.
[tex]\begin{aligned}x-3y&=9\\x-3y+3y-9&=9+3y-9\\x-9&=3y\\3y&=x-9\\y&=\dfrac{1}{3}x-3\end{aligned}[/tex]
Therefore, the slope of the given line is 1/3.
Parallel lines have the same slope.
Therefore, to find the equation of the parallel line that passes through point (2, 6), substitute m = 1/3 and the point (2, 6) into the point-slope formula:
[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\\\implies y-6&=\dfrac{1}{3}(x-2)\end{aligned}[/tex]
Rearrange to standard form Ax + By = C (where A is positive):
[tex]\begin{aligned}y-6&=\dfrac{1}{3}(x-2)\\3y-18&=x-2\\-18&=x-3y-2\\x-3y&=-16\end{aligned}[/tex]
Therefore, the equation of the line in standard form that is parallel to x - 3y = 9 and passes through the point (2, 6) is:
[tex]\boxed{x-3y=-16}[/tex]
[tex]\hrulefill[/tex]
Question 2To determine the equation of a line that is perpendicular to y + 1/4x - 5 = 0 and passes through the point (-3, 5), we first need to find the slope of y + 1/4x - 5 = 0.
To do this, rearrange the equation so that it is in slope-intercept form.
Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.
[tex]\begin{aligned}y + \dfrac{1}{4}x - 5 &= 0\\y&=-\dfrac{1}{4}x+5 \end{aligned}[/tex]
Therefore, the slope of the given line is -1/4.
The slopes of perpendicular lines are negative reciprocals.
Therefore, the slope of the perpendicular line is 4.
Therefore, to find the equation of the perpendicular line that passes through point (-3, 5), substitute m = 4 and the point (-3, 5) into the point-slope formula:
[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\\\implies y-5&=4(x-(-3))\end{aligned}[/tex]
Rearrange to standard form Ax + By = C (where A is positive):
[tex]\begin{aligned}y-5&=4(x-(-3))\\y-5&=4(x+3)\\y-5&=4x+12\\-5-12&=4x-y\\4x-y&=-17\end{aligned}[/tex]
Therefore, the equation of the line in standard form that is perpendicular to y + 1/4x - 5 = 0 and passes though point (-3, 5) is:
[tex]\boxed{4x-y=-17}[/tex]
A chord of a circle is 18cm long.it is 6.3cm from the center of the circle.calculate the radius of the circle to the nearest whole number?
Answer: The radius of the circle rounded to the nearest integer is 11 cm
Step-by-step explanation:
To resolve this issue we can utilize the properties inherent to circles along with Pythagoras' theorem while denoting our circle's radius as "r".
Given that we know of a chord of length equaling up to 18 cm placed at a distance measuring exactly 6.3 cm away from the center of our circle sketching out a diagram would make it easier for us to visualize such a situation. Once visualizing this problem statement through our aforementioned diagram we may approach it using Pythagoras' theorem and examine the components regarding the right-angled triangle formed by half-length chord radius "r" and distance between center and chord respectively.
Our calculations factor in measurements representing half of our chords length (which is equal to precisely 9cm) alongside distances measuring up to exactly 6.3cm while possessing "r" on one end as shown below:
r^2 = (6.3cm)^2 + (9cm)^2
Simplifying said equation leads us to have:
r^2 =39.69cm^2+81cm^2
r²=120.69cm²
Calculating square roots on both sides leads us towards the approximation of r equaling around:
r ≈ √120.69cm²
r ≈10.99cm
Therefore rounding off R towards its nearest whole number would give us R=11cm in this case scenario.
Tyshawn is trying to pick out an outfit for the first day of school. He can choose from 8 pairs of pants, 5 t-shirts, 4 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Tyshawn have to choose from?
Step-by-step explanation:
A LOT of different outfits !
8 x 5 x 4 x 2 = 320 outfit possibilities
a class of 15 students had a spelling test condsisteting of ten words. the number of spelling mistakes made by each student is listed in the data below.
1, 2 ,1 ,0 ,3 ,1 ,2 ,3 ,1 ,2 ,0 ,4 ,2 ,3, x
A: If there are 2 modes, what are the possible values of x?
B: If there is exactly one mode, write a possible value for x, and the mode.
Step-by-step explanation:
A: If there are 2 modes, x can be either 1 or 2.
B: To find the mode of the data set, we need to count how many times each number appears.
- 0 appears 2 times
- 1 appears 4 times
- 2 appears 4 times
- 3 appears 3 times
- 4 appears 1 time
Since both 1 and 2 appear 4 times in the data set, there are two modes.
For x, if we add it to the data set, then the mode must be x plus either 1 or 2.
If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.
So a possible value for x could be 2, and the mode would be 2.
MP Precision Three students measure the height of a bookshelf. Student A measures 72 units, Student B measures units, and Student C measures 6 units. The teacher says all three students are correct. What units did each student use? 15
The units that each student used, given the measurement that they got and all of them being right was:
Student A used inchesStudent B used feetStudent C used yards.How to find the units used ?The height of a bookshelf is typically measured in inches, feet, or yards .
Student A measured 72 units, which is equal to 6 feet. Student B measured 2 units, which is equal to 24 inches .
Student C measured 6 units, which is equal to 18 yards. All three students are correct, as they all used different units to measure the same height .
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Full question is:
Three students measure the height of a bookshelf. Student A measures 72 units, Student B measures 2 units, and Student C measures 6 units. The teacher says all three students are correct. What units did each student use?
Your bank statement shows a balance of $683. Your checkbook register shows a balance of $462. You earned interest of $11 and had a service charge of $8. There are no outstanding deposits. What is the amount of outstanding checks?
Amount of outstanding checks is $218
Given,
Bank balance = $683
Check book register balance = $462
Interest earned = $11
Service charge = $8
Now,
Form the linear equation,
Bank balance = Check book register balance + Interest earned + Amount of outstanding check - Service charge
Substitute the data given in the question,
$683 = $462 + $11 + Amount of outstanding check - $8
Amount of outstanding check = $218
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Question
Given the frequency table below, what is the relative frequency of the data value 8?
Value
4
5
6
7
8
Frequency
2
7
9
6
6
Answer:
2
3
5
5
7
13
14
17
21
31
52
Step-by-step explanation:
but I think the town & is the best. I am not coming out of my reward.. this will be the last one day.. this will not go on. I am not coming to the office until tomorrow as I'm working for, and if I don't get any of that, I'll break it up with a choice. I am a bit worried, so I was 165 2762