Step-by-step explanation:
We know all angles on a traingle equal 180
We also know one angle is a right angle which is 90
180 - 90 = 90, indicating the other two angles equal 90
[tex](2x - 1) + (3x + 6) = 90[/tex]
Now we will combine the X's and constants
[tex]5x +5 = 90[/tex]
Now to subtract 7
[tex]5x = 85[/tex]
Lastly, divide by 5
[tex]x = 17[/tex]
allintext:if we have four variables, then how many equations will we have in our system of linear equations?
If we have four variables, then four equations will we have in our system of linear equations.
A linear equation is a mathematical equation that represents a straight line on a graph. It is an equation that can be written in the form of y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept. The slope represents how steep the line is, and the y-intercept is the point where the line intersects the y-axis.
Linear equations can be used to model a wide range of real-world phenomena, from simple physics problems such as calculating the speed of a moving object, to economic models that describe the relationship between price and demand. They are also widely used in fields such as engineering, finance, and statistics.
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A cylindrical jar of radius 6 cm contains water. How many iron spheres each of radius 1.5 cm are required to raise the level of water by 2 cm?
16 iron spheres each of radius 1.5 cm are required to raise the level of water by 2 cm
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, A cylindrical jar of radius 6 cm contains water.
Therefore, the volume of the cylinder is π(6²)h = 36πh.
Given, The height raises by 2cm therefore, 36π(h + 2).
We know, The volume of a sphere is, (4/3)πr³
= (4/3)π(1.5)³.
= (4/3)π×3.375.
= (13.5/3)π.
let, We need 'x' number of spheres.
Therefore, 36πh + (13.5/3)πx = 36π(h + 2).
36πh - 36π(h + 2) = - (13.5/3)πx.
36h - 36(h + 2) = - (13.5/3)x.
108h - 108(h + 2) = - 13.5x.
108(h - h - 2) = - 13.5x.
108(-2) = - 13.5x.
x = 216/13.5.
x = 16.
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if we have four variables, then how many equations will we have in our system of linear equations? 5 2 3
For four variables the required number of system of linear equations are at least option d. 4 equations.
Variable is represented by small alphabets : a , b, x, y , z, m , n ... so on.System of linear equations are set of equation relating variables with degree one. To solve the system of linear equations we need to have number of equations same as the number of variables.If there are two variables then we need to have minimum two system of linear equations .If there are n variables then there should be n system of linear equations.Therefore, if there are four variables in the system of linear equations then we should have option d. 4 equations.
The above question is incomplete , the complete question is:
If we have four variables, then how many equations will we have in our system of linear equations?
a. 5 b. 2 c. 3 d. 4
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The quadrilateral is a trapezoid. What is the value of x?A)48B)4C)25D)5
The quadrilateral is a trapezoid, the value of x is 5 in given trapezoid.
An isosceles trapezoid can be defined as a trapezoid whose non-parallel sides and base angles have the same measure. That is, if the two opposite sides (bases) of a trapezoid are parallel and the two non-parallel sides are of equal length, it is an isosceles trapezoid. See the diagram below. It indicates that sides c and d are of equal length and opposite sides a and b (the base of the trapezoid) are parallel to each other.
The given trapezoid is An isosceles trapezoid .
From the given diagram, the expression below is true:
2(5x - 1) = 21 + 27
(21+27)/2 = 5x -1
24 = 5x-1
x=5
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The given question is incomplete, the complete question is:
The quadrilateral is a trapezoid. What is the value of x?
A)48
B)4
C)25
D)5
and the Question image is attached in image section.
The sum of three consecutive integers, a, b and c, where a
(a) What is the greatest possible value of b?
(b) Find the square root of the largest possible value of c.
The values of a, b and c based on the information will be 2, 3, 4.
The square root of c which is 4 will be 2.
How to calculate the valuesFrom the information, it was stated that the sum of the three consecutive integers, a, b and c, is 9.
This can be Illustrated as:
a + a + 1 + a + 2 = 9
3a + 3 = 9
3a = 9 - 3
a = 6 / 3
a = 2
b will be 2 + 1 = 3
c will be 2 + 2 = 4
The square root of c which is 4 will be:
= ✓4
= 2
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The sum of three consecutive integers, a, b and c, is 9.
(a) What is the greatest possible value of b?
(b) Find the square root of the largest possible value of c.
before using census data, researchers need to consider the timeliness of the data. group startstrue or falsetrue, unselectedfalse, unselected
The statement "Before using census data, researchers need to consider the timeliness of the data." is true because census data is only accurate and useful when it is up to date.
The United States Census Bureau updates the data every ten years, so the most recent data will be from 2010. Additionally, researchers should be aware of any changes to the census information over time and make sure they are using the most up-to-date version. Furthermore, researchers need to understand the scope of the census data and what it is designed to measure.
The United States Census covers the entire population of the United States, but it is important to know the specific topics covered by each census and what population groups are included. Finally, researchers should be aware of how the census data is collected and the potential for error or bias in the data.
If the data is outdated, it could lead to inaccurate results or conclusions. Therefore, researchers must consider the timeliness of the data before using it in any research project.
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The complete question is:
True or False: Before using census data, researchers need to consider the timeliness of the data.
110801 people attend a cricket match. 4922 of these people are season ticket holders. How many of these people are not season ticket holders.
The number of people who are not season ticket holders can be found by subtracting the number of season ticket holders from the total number of attendees:
110801 - 4922 = 105879
Therefore, there are 105879 people who are not season ticket holders.
Given: ABCD is a parallelogram and AD is perpendicular to BD
Prove: AB congurent to BC
Answer:
...here is the answer...
(x
Consider a sequence of transformations where
ALMN is translated (x, y) - (x - 3, y + 4),
reflected across the y-axis, and then reflected
across the x-axis.
Predict the effect of the second transformation.
The transformation of the triangle is the orientation changes and moves the triangle into Quadrant III
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the transformation of the triangle be represented as A
Now , the initial coordinates are ( x , y )
And , on transformation , we get ( x , y ) - ( x - 3 , y + 4 )
Now , the triangle is reflected across the y-axis
So , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
And , its orientation has changed and it is now in Quadrant III.
Hence , the triangle is now in Quadrant III
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In a restaurant there are
8 starter dishes
15 main dishes
9 dessert dishes
Jane is going to choose one of the following combinations for her meal.
a starter dish and a main dish
or a main dish and a dessert dish
or a starter dish, a main dish and a dessert dish
How many different ways are there for her to choose the meal?
Answer:
there are 276 + 276 + 5680 = 6232 different ways for Jane to choose her meal.
Step-by-step explanation:
First, we need to find the number of different combinations of a starter dish and a main dish. This is simply the number of combinations of 2 items from 8 starters and 15 main dishes, which can be calculated using the formula for combinations:
C(8 + 15, 2) = C(23, 2) = (23 * 22) / (2 * 1) = 276
Similarly, the number of different combinations of a main dish and a dessert dish is:
C(15 + 9, 2) = C(24, 2) = (24 * 23) / (2 * 1) = 276
Finally, the number of different combinations of a starter dish, a main dish, and a dessert dish is:
C(8 + 15 + 9, 3) = C(32, 3) = (32 * 31 * 30) / (3 * 2 * 1) = 5680
In total, there are 276 + 276 + 5680 = 6232 different ways for Jane to choose her meal.
Ata school
number of boys : number of girls = 11: 9
There are 124 more boys than girls.
Work out the total number of students at the school.
The total number of students at the school is 1240.
What is Ratio ?
With the dividend or number being divided as the antecedent and the divisor or number that is dividing as the consequent, a ratio compares two quantities by division.
we know that, number of boys : number of girls = 11: 9
Let's assume the number of boys = 11x
and, the number of girls = 9x
similarly, There are 124 more boys than girls
So, number of boys = 124 + number of girls
11x = 124 + 9x
2x = 124
x = 62
So, number of boys = 11 ×62 = 682
number of girls = 9 × 62 = 558
∴ Total number of students is 1240 i.e.(682+558).
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Write the equation of the ellipse and find the foci with the given vertices (2,3),(2,13),(0,8),(4,8)
Step-by-step explanation:
Equation of ellipse depends on the points
The points that lie on the horizontal axis is (0,8) and (4,8). They have a distance of 4, therefore a radius of 2
The points that lie on the vertical axis is (2,3) and (2,13)
They have a distance of 10, therefore a radius of 5
Since the vertical axis is bigger, we have a vertical ellipse which is the equation of,
[tex] \frac{(y - k) {}^{2} }{ {a}^{2} } + \frac{(x - h) {}^{2} }{ {b}^{2} } = 1[/tex]
Where a is the major radius
b is the minor radius
(h,k) is the center
Step 1: Finding the center
The center should be the midpoint of the horizontal vertices or vertical vertices
Let's use the horizontal vertices
[tex] (\frac{(0 + 4}{2} ) = 2[/tex]
[tex]( \frac{8 + 8}{2} ) = 8[/tex]
So the center is (2,8)
Step 2: Finding the major and minor radius
We already know it , a is 5
b is 2, so we as of now, have this equation
[tex] \frac{(y -8) {}^{2} }{25} + \frac{(x - 2) {}^{2} }{4} = 1[/tex]
This is the equation of the ellisoe
Step 3: Find the foci
The foci for a vertical ellipse should lie on the same line as the same line as the major vertices and center.
The equation for an ellipse foci that is vertical are
(x,y+c) and (x,y-c)
Where C is
[tex]c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]
[tex]c = \sqrt{25 - 4} [/tex]
[tex]c = \sqrt{21} [/tex]
So our foci are
,,,
[tex](2,8 + \sqrt{21} )[/tex]
and
[tex](2,8 - \sqrt{21} )[/tex]
,
A Girl Scout is selling cookies to raise money for her troop. She is given a certain number of cookies to sell and is tracking the number of boxes remaining each
day. The table shows the relationship between the number of days she has been selling cookies and the total number of boxes remaining.
Girl Scout Cookie Fundraiser
Time (in days) 1 3 4 7
Number of Boxes 25 21 19 13
Which of the following graphs shows the relationship given in the table?
The corresponding graph for the given data is a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points (0, 27), (1,25), (3,21), (4,19) and (7,13)
What is a linear function?
A linear function is a polynomial function whose degree is utmost zero or one. It is represented as a straight line in the graph.
A Girl scout is selling cookies to raise money for her troop.
She is given a certain number of cookies to sell and is tracking the number of boxes remaining each day.
This result is shown in the table:
Time(in days) Number of boxes
1 25
3 21
4 19
7 13
The graph for the given data is attached below.
This forms a straight line.
By critically observing the graph and relationship between the time and number of boxes, we determine a function for the graph.
That is y=-2x+27.
Hence, the corresponding graph for the given data is a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points (0, 27), (1,25), (3,21), (4,19) and (7,13)
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Answer: Its D.
Step-by-step explanation:
a group of wine enthusiasts taste-tested a pinot noir wine from oregon. the evaluation was to grade the wine on a 0-to-100-point scale. a wine rated above 90 is considered truly exceptional. the results follow: a. compute the sample mean, the sample standard deviation, and the sample median. you may use excel for the calculations; if you do so, please upload your excel sheet with your homework solutions. b. construct a histogram and a boxplot for these data and comment on any important features that you notice. you can create by hand, or using excel or minitab. include histograms and boxplots in the pdf document submission c. what proportion of the taste-tasters considered this particular pinot noir truly exceptional?
The sample mean is 89.45, the sample standard deviation is 2.327, and the sample median is 91 and the leaf plot of the data is illustrated below.
The sample standard deviation is a measure of how much the ratings vary from the sample mean. It tells us how spread out the data is. A larger standard deviation means the data is more spread out, while a smaller standard deviation means the data is more tightly clustered around the mean.
To calculate the sample standard deviation, we first need to calculate the variance. The variance is the average of the squared differences between each rating and the mean. The formula for variance is:
variance = (sum of (rating - mean)²) / (number of ratings - 1)
In this case, the sum of the squared differences is 301.9, and there are 39 degrees of freedom (40 ratings minus 1), so the variance is 7.741. To get the sample standard deviation, we take the square root of the variance. In this case, the sample standard deviation is approximately 2.78.
The sample median is the middle rating when the ratings are arranged in order from lowest to highest. In this case, there are 40 ratings, so the median is the average of the 20th and 21st ratings, which are both 91.
Finally, we can determine what proportion of the taste-tasters considered this particular pinot noir truly exceptional (above 90 points). To do this, we count the number of ratings that are above 90 and divide by the total number of ratings. In this case, there are 30 ratings above 90, so the proportion is 30/40, or 0.75. This means that 75% of the taste-tasters considered this pinot noir truly exceptional.
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Complete Question:
A group of wine enthusiasts taste-tested a pinot noir wine from Oregon. The evaluation was to grade the wine on a 0-to-100-point scale. The results follow. Construct a stemand- leaf diagram for these data and comment on any important features that you notice. Compute the sample mean, the sample standard deviation, and the sample median. A wine rated above 90 is considered truly exceptional. What proportion of the taste-tasters considered this particular pinot noir truly exceptional?
94 90 92 91 91 86 89 91 91 90
90 93 87 90 91 92 89 86 89 90
88 95 91 88 89 92 87 89 95 92
85 91 85 89 88 84 85 90 90 83
find the values of the variables for the parallelogram
The value of m is 40 degrees, the value of x is 6 and value of y is 9.
What is Parallelogram?Parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
To find the value of variable m.
Forming an equation:
3m = 120°
m = 120/3
m = 40
Therefore the value of m is 40.
Finding x:
x is opposite to the side of measure 6.
As per the first property.
x = 6
So, x = 6
Therefore the value of x is 6.
Finding y.
5y is opposite the angle measuring 45°.
Forming an equation.
5y = 45°
y = 45/5
y = 9
Therefore the value of y is 9.
Hence, the value of m is 40 degrees, the value of x is 6 and value of y is 9.
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The complete question is given below and in attachment
Find the value of each variable in the parallelogram. explain step by step
A metal washer has an external diameter of 2 cm and an internal diameter of 1 cm.
How many washers can be cut from a sheet of steel 3 m by 1 m?
If the metal left over was remelted and cast into a sheet of the same thickness and
width 1 m, how many additional washers could be cut?
(a) The number of washers that can be cut from a sheet of steel is 12,732 washers.
(b) No additional washers could be cut from the metal left over after it was remelted and cast into a sheet of the same thickness and width (1 m).
How many washers can be cut from the sheet?
First, we need to calculate the area of the washer, which can be done as follows:
Area = π (de/2)² - π (di/2)²
= π(0.02 m/2)² - π (0.01 m/2)²
= 0.000236 m²
Now, we can calculate the number of washers that can be cut from a 3m x 1m sheet of steel:
Number of washers = (Area of the sheet) / (Area of the washer)
= (3 m x 1 m) / 0.000236 m²
= 12,732 washers
Next, we need to find the area of the metal left over after cutting the 12,732 washers. This can be calculated as follows:
Area of the metal left over = (3 m²) - (12,732 x 0.000236 m²)
= 3 - 3.05
= -0.05 m²
Since the metal left over is negative, it means that not enough metal was available to cut 12,732washers. Hence, 12,732 is the maximum number of washers that can be cut from a 3m x 1m sheet of steel.
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the pew research center internet project conducted a survey of 1,057 internet users. this survey provided a variety of statistics on them. if required, round your answers to four decimal places. (a)the sample survey showed that 90% of respondents said the internet has been a good thing for them personally. develop a 95% confidence interval for the proportion of respondents who say the internet has been a good thing for them personally.
variety of statistics for 1057 inernet users are = (0.9180, 0.8998) solve by given question .
population proportion is the share of a population that belongs to a particular category. Confidence intervals are used to estimate population proportions.
Let p be the population proportion of respondents who say the Internet has been a good thing for them personally.
=p +- z*[tex]\sqrt{p*(1-p)/n}[/tex]
where z* = Critical value p = Sample proportion,n = sample size.
As per given , we have
n= 1057 By z-table , Critical value for 95% confidence interval : z*= 1.96
Then, the 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally. will be :
=p +- z*[tex]\sqrt{p*(1-p)/n}[/tex]
=0.9+-1.96[tex]\sqrt{.9*(1-.9)/1057}[/tex]
=0.9180, .8998
Hence, the required 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally = (=0.918, .881)
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in
2. The park charges $24 to enter and
$0.45 per ticket. Write an algebraic
expression to represent the total
amount spent by a guest.
Answer:
C = $24 + 0.45x
Step-by-step explanation:
If we let total amount spent by a guest to the park as $C and number of tickets bought is x then the algebraic expression to represent the total amount spent by a guest is
C = $24 + 0.45x
Scatter Plot 8 grades, help please!!!
The of association represented in the graph is positive linear association.
option C
What is a positive correlation?
A positive correlation is a statistical relationship between two variables such that as one variable increases, the other variable also increases, and as one variable decreases, the other variable decreases as well.
In other words, positive correlation means that as the value of one variable goes up, the value of the other variable also goes up, and vice versa. The correlation is said to be positive because both variables move in the same direction.
The strength of the correlation can be measured using a correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, while a correlation coefficient of 0 indicates no correlation.
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2. A traffic radar records the speed, v kilometers per hour, of cars on a section of a *
road. The following table shows a summary of the results for a random sample of
1000 cars whose speeds were recorded on a given day. Find an estimate of the
mean speed of the sample. Show your work!
Answer: Just to get your attention (don't mind rating this)
Step-by-step explanation:
I'm sorry, but there's no table or information about the sample provided for me to estimate the mean speed of the sample. Can you please provide more information or clarify your question?
Find the cost per pound of a house blend of coffee that is made from 10 lb of Central American coffee that costs $9 per pound and 40 lb of South American coffee that costs $5.50 per pound.
The cost per pound of a house blend of coffee is $ 5 per pound.
What is the cost price?
The precise value that corresponds to the unit price paid is represented by the cost price. In some stock market theories, this value is utilized to establish the value of stock holdings and is used as a key determinant of profitability.
Here, we have
Weight of Central American coffee = 10 lb
Cost of Central American coffee = $7 per pound
Total value of Central American coffee = weight × cost = 10 ×7 = $ 70
Weight of South American coffee = 40 lb
Cost of South American coffee = $ 4.50 per pound
Total value of Central American coffee = weight × cost = 40 ×4.50 = $ 180
Total weight of house blend coffee = Weight of Central American coffee + weight of South American coffee
= 10 +40 = 50 lb
The total value of house blend coffee = value of Central American coffee + value of South American coffee
= $ 70 + $ 180 = $ 250
Cost per pound of house blend coffee = ( total value of house blend coffee) / (total weight of house blend coffee)
= 250 / 50 = $ 5 per pound
Hence, the cost per pound of a house blend of coffee is $ 5 per pound.
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Please help I’ll give brainliest!!!
Answer:
i think it x = 0 and x = 5
Step-by-step explanation:
[tex]y = {x}^{2} - 4x + 2[/tex]
[tex]y = x + 2[/tex]
[tex]x + 2 = {x}^{2} - 4x + 2[/tex]
[tex]0 = {x}^{2} - 4x + 2 - x - 2[/tex]
[tex]0 = {x}^{2} - 5x[/tex]
[tex]0 = x(x - 5)[/tex]
[tex]x = 0[/tex]
(or)
[tex]x - 5 = 0[/tex]
[tex]x = 5[/tex]
David and Alec are comparing the international calling plans on their cell phones. On his plan,
David pays $4 just to place a call and $1 for each minute. When Alec makes an international
call, he pays $1 to place the call and $2 for each minute. A call of a certain duration would
cost exactly the same under both plans. What is the duration?
Write a system of equations, graph them, and type the solution.
3 minutes is the cost of the call that is same for both plans
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's assume the call duration in minutes is represented by x.
For David, the cost of the call can be represented by the equation: C(d) = 4 + x
For Alec, the cost of the call can be represented by the equation: C(a) = 1 + 2x
Since the cost of the call is the same for both plans, we can set the two equations equal to each other and solve for x:
4 + x = 1 + 2x
Solve for x.
3 = x
Hence, the call duration that costs the same on both plans is 3 minutes.
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3. (a) T= 3db Find the value of T' when a 4 and b = 5.
The value of the variable T is 60
What are algebraic expressions?These are described as expressions that are composed of coefficients, factors, constants, variables and terms.
These algebraic expressions are also identified by mathematical or arithmetic operations, such as;
AdditionSubtractionMultiplicationDivisionBracketParenthesesWe have;
T= 3db
Substitute the values
T = 3(4)(5)
expand
T = 60
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The number in a bacteria lab can be modeled by the function L(t)= 880(3)^t+2. Write an equivalent function in the form L(t)= ab^t
The equivalent function to the given one is:
L(t) = 7,920*(3)^t
How to rewrite the function?Here we want to rewrite the function:
L(t) = 880*(3)^(t + 2)
Into the form:
L(t) = a*(b)^t
Remember the rule for exponents:
(x^a)*(x^b) = x^(a + b)
Then we can take our function:
L(t) = 880*(3)^(t + 2)
And rewrite this as:
L(t) = 880*(3^t)*(3^2)
L(t) = 9*880*3^t
L(t) = 7,920*(3)^t
That is the equivalent function.
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Simplify Fully (Negative powers)
Answer:
[tex]\frac{y^2}{4x^5}[/tex]
Step-by-step explanation:
Used Exponents Properties :
[tex]\blacksquare \left( a\times b\right)^{n} =a^{n}\times b^{n}\\\blacksquare \left( a^{n}\right)^{m} =a^{n\times m}\\\blacksquare \left( \frac{a}{b} \right)^{n} =\frac{a^{n}}{b^{n}}[/tex]
==========================
[tex]\begin{aligned}\left(\frac{256 \times x^{20}}{y^8}\right)^{-\frac{1}{4}} & =\left(\frac{y^8}{2^8 \times x^{20}}\right)^{\frac{1}{4}} \\& =\frac{\left(y^8\right)^{\frac{1}{4}}}{\left(2^8 \times x^{20}\right)^{\frac{1}{4}}} \\& =\frac{y^{8 \times \frac{1}{4}}}{\left(2^8\right)^{\frac{1}{4}} \times\left(x^{20}\right)^{\frac{1}{4}}} \\& =\frac{y^{\frac{8}{4}}}{2^{\frac{8}{4}} \times x^{\frac{20}{4}}} \\& =\frac{y^2}{2^2 x^5}\\& =\frac{y^2}{4 x^5}\end{aligned}[/tex]
Each marble bag sold by Chau's Marble Company contains 2 red marbles for every 3 blue marbles. If a bag has 18blue marbles, how many red marbles does it contain?
Answer:
12 red marbles.
Step-by-step explanation:
No step by step explanation.
A pound of chocolate costs 8 dollars. Leila buys p pounds. Write an equation to represent the total cost c that Leila pays.
Answer:
c=8p
Step-by-step explanation:
c=8p
Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
Question: csc (3/2)
The value of csc(3π/2) is -1.
What is a trigonometric function?
Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Numerous trigonometric identities and formulas indicate the relationship between the functions and aid in determining the triangle's angles.
The given trigonometry function is csc(3π/2)
Assume that y = csc(3π/2)
Break the angle:
y = csc(π + π/2)
Applying the formula csc(π + θ) = -csc θ:
y = - csc(π/2)
y = -1 [since csc(π/2) = 1]
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The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.50, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
A. Equally likely and unlikely
B. Likely
C. Unlikely
D. This value is not possible to represent probability of a chance event.
The probability that it is likely that a randomly selected cookie from the batch will be a chocolate chip cookie.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
If P(chocolate chip) = 0.50, it means that the probability of randomly selecting a chocolate chip cookie from the batch is 0.50 or 50%.
Interpreting this probability, we can say that it is likely that a randomly selected cookie from the batch will be a chocolate chip cookie since the probability is relatively high.
Therefore, the correct answer would be an option (B) Likely.
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