Answer:
No
Step-by-step explanation:
8.05 is less than 8.2 by .15
What is 3/2 to the fifth power in standard form?
Answer:
3/2 *3/2 *3/2 * 3/2* 3/2= 243/32
Step-by-step explanation:
sorry if this is incorrect :9
ty for reading :9
2. Given in duo-decimal system (base 12), x =
(80a2)12 Calculate 10x in octal system (base 8) 10 x =
.....................
3. Calculate the expression and give the final
answer in the octal system wit
We are given a number in duodecimal (base 12) system, x = (80a2)12. We need to calculate 10x in octal (base 8) system. The octal representation of 10x will be determined by converting the duodecimal number to decimal, multiplying it by 10, and then converting the decimal result to octal.
To convert the duodecimal number x = (80a2)12 to decimal, we can use the positional value system. Each digit in the duodecimal number represents a power of 12. In this case, we have:
x = 8 * 12^3 + 0 * 12^2 + a * 12^1 + 2 * 12^0
Simplifying, we get:
x = 8 * 1728 + a * 12 + 2
Next, we multiply the decimal representation of x by 10 to obtain 10x:
10x = 10 * (8 * 1728 + a * 12 + 2)
Now, we calculate the decimal value of 10x and convert it to octal. To convert from decimal to octal, we divide the decimal number successively by 8 and keep track of the remainders. The sequence of remainders will be the octal representation of the number.
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Please help! Solve for x
The value of the variable 'x' will be 40.50. Then the correct option is D.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔPQS is similar to the triangle ΔRQS. Then the equation is given as,
x / 45 = 18 / 20
x / 45 = 0.90
x = 40.5
The value of the variable 'x' will be 40.50. Then the correct option is D.
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Which of these expressions is equivalent to:
3x^3 y^5 + 3x^5 y^ 3 − (4x^5 y^3 − 3x^3 y^5)
The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).
Let's simplify the given expression step by step using the given terms:
Expression:
\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)
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in the diagram SOP ~ GNQ. find the value of x.
Answer:
86-382+82x63
Step-by-step explanation:
the z scores of two tests scores are 1.2 and 1.5. to obtain the area between these scores select one: a. subtract the z scores and find the area of the difference in the z score table b. find the area between each score and the mean in the z score table and then subtract the smaller area from the larger area c. find the area between each score and the mean in the z score table and then subtract the difference between them from 100% d. find the area beyond each score in the z score table and subtract the difference between the areas from the mean
Area between each score and the mean in the z score table and then subtract the smaller area from the larger area.
The correct option is b.
The area between each score and the mean in the z score table and then subtract the smaller area from the larger area.
What is Z score: The z-score (aka, standard score) is a dimensionless metric that represents the deviation of a score from the mean in units of the standard deviation.
The formula for computing z-scores is as follows:
Z = (X - μ) / σ
where X is the score,
μ is the mean,
and σ is the standard deviation.
Z-scores can be used to assess the relative position of a score in relation to the distribution's mean and standard deviation.
In this particular question, the Z score of two test scores is 1.2 and 1.5.
To obtain the area between these scores, we have to find the area between each score and the mean in the z-score table, and then subtract the smaller area from the larger area.
First, we need to find the area between 1.2 and 1.5.
We can see the area from the z-score table as P(z < 1.5) - P(z < 1.2).
The following z-score table can be used to find these probabilities:
z-score table
From the table, P(z < 1.5) is equal to 0.9332, and P(z < 1.2) is equal to 0.8849.
Thus, P(1.2 < z < 1.5) = 0.9332 - 0.8849 = 0.0483.
To find the answer to the question, we have to calculate the area between the scores, which is 0.0483 in this case, by finding the area between each score and the mean in the z-score table and then subtracting the smaller area from the larger area.
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find the equation of a line passing through (3,4) and slope of -2
Answer: 2x + y = 10
Step-by-step explanation: When we're given a point and a slope, we can use the point-slope formula to write the equation of a line.
The point-slope formula is y - y₁ = m(x - x₁).
Now we can substitute our point and our slope into the formula.
y - 4 = -2(x - 3)
~distribute
y - 4 = -2x + 6
~isolate y
y = -2x + 10
~put into standard form
2x + y = 10
Answer:
y=-2x+10
Step-by-step explanation:
To find the equation in forms of y=mx+b, first we must put in the slope(or m) which is -2, so we have:
y = -2x+b
Now, we can find the y intercept(or b) by plugging in our x and y values that the line passes through:
4 = -2(3)+b
4=-6 + b
10 = b so we have y = -2x+10
Which test statistic should be used when computing a confidence interval given only the number in a sample, the sample mean and sample standard deviation?.
T test is used to compute the confidence interval, when the mean and standard deviation is given.
What is Standard Deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test
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1 floor : 20 apartments = 19 floors: ??? apartments
Answer:
19 floors would equal 380 apartments.
Step-by-step explanation:
multiply the number of floors (19) by the number of apartments on each floor (20). so all in all, there are 380 apartments in a building of 19 floors.
Write a 6-digit number that when rounded to the nearest thousand and hundred will have a result that is the same. explain
The 6 - digit number when rounded to the nearest thousand and hundred will have a result that is the 556100.
Rounding off makes a number is made simpler by keeping its value intact but closer to the next number.
Rounding to the nearest thousand:
The original number, 555500, lies between 555000 and 556000.
Since it is equidistant from both, we round it to the nearest even thousand, which is 556000.
Rounding to the nearest hundred:
The rounded number from the previous step, 556000, lies between 555900 and 556100.
Again, it is equidistant from both, but in this case, we round it up to the nearest hundred, which is 556100.
Therefore, when you round the number 555500 to the nearest thousand and hundred, you get the same result, which is 556100.
Thus, the answer is 556100.
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A company sells 100 - 0. 5x shirts
when it charges %x per shirt. How
many dollars per shirt should the
company charge in order to make
$5,000 on shirt sales?
The company should charge $100 per shirt in order to make $5,000 on shirt sales.
What is a quadratic equation?
A polynomial whose highest degree monomial is of the second degree is said to be quadratic. A second-order polynomial is another name for a quadratic polynomial. Accordingly, at least one of the variables must be raised to the power of 2, and the powers of the remaining variables must be more than or equal to two but less than -1.
To make $5,000 on shirt sales, the company should charge:
$5000 / (100 - 0.5x) dollars per shirt
To solve for x, we can multiply both sides of the equation by (100 - 0.5x) and simplify:
$5000 = x(100 - 0.5x)
This simplifies to:
$5000 = 100x - 0.5x^2
To solve for x, we can use the quadratic formula:
=> x = (100 ± sqrt(100^2 - 4 * 0.5 * 5000)) / (2 * 0.5)
=> x = (100 +/- sqrt(10000 - 10000)) / 1
=> x = (100 ± 0) / 1
=> x = $100
Therefore, the company should charge $100 per shirt in order to make $5,000 on shirt sales.
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How can you write the equation of the
line?
(: before the lady in the video shows
you :)
y 5x = 3
y = 3x - 5
y = -5x + 3
y + 3 = -5x
Help me pls
The circumference of a circle is 171 cm.
What is exact the area of the circle?
Do not round. Include correct units.
Show all your work.
Answer:
72.25π cm²
Step-by-step explanation:
C = 2πr
17π cm = 2πr
Divide both sides by 2π.
8.5 cm = r
r = 8.5 cm
A = πr²
A = π × (8.5 cm)²
A = 72.25π cm²
An object moves at a constant rate of 900 feet in 5 minutes. Enter the distance in yards, the object moves in 40 seconds.
The object moves 40 yards in 40 seconds at a constant rate of 900 feet in 5 minutes.
To convert the distance of 900 feet in 5 minutes to yards per second, we can use the following formula:
900 feet/5 minutes = 180 feet/minute
Then, we can convert feet to yards by division by 3:
180 feet/minute ÷ 3 = 60 yards/minute
To find the distance the object moves in 40 seconds, we can use the following formula:
distance = rate × time
First, we need to convert the rate to yards per second:
60 yards/minute ÷ 60 seconds = 1 yard/second
Now we can plug in the values:
distance = 1 yard/second × 40 seconds
distance = 40 yards
Therefore, the object moves 40 yards in 40 seconds at a constant rate of 900 feet in 5 minutes.
In summary, we can use conversion formulas to convert units of measurement and apply them to solve problems. It is important to pay attention to units and make sure they are consistent throughout the problem-solving process.
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Solve for h:
2h-4x=-6y
Please provide steps also
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
What is the ratio of yellow paint to the red paint
in how many ways can four people sit in six chairs so that the leftmost chair is occupied and the right most is not
There are 96 ways for four people to sit in six chairs so that the leftmost chair is occupied and the rightmost is empty.
There are 4 guests and the leftmost seat is to be occupied, so there are 4 such ways to choose the occupant of that seat.
Then, for each of those 4 ways, there are 4 ways to decide the occupant for the second seat -- the remaining three people plus the possibility of that seat being empty, that makes a total of 16 ways to decide the configuration of the first two seats.
Then, for each of those 16 ways, there are 3 ways to choose the occupant for the third seat (either 3 remaining guests if the second seat was left empty, or the two remaining guests plus the possibility of leaving the 3rd seat empty). Hence, 16 times 3 is 48. For each of those ways, there are two choices for the next seat, i.e. 48 times 2 = 96, and finally one choice for the fifth seat. So in all, there are 96 ways.
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Rectangle MPAT has vertices M(1, 2), P(1, 3), A(3, 3), and T(3, 2). Rectangle MPAT was translated 1 unit right and 2 units up to produce rectangle M'P'A'T Which coordinates describe the vertices of the image? O M'(1, 4), P'(1, 5), A'(3, 5), and T"(3, 4) O M'(2, 2), P'(2, 3), A'(4, 3), and T'(4, 2) O M'(2, 4), P' (2, 5), A'(4, 5), and T'(4,4) O M'(3, 3), P'(3, 4), A'(5, 4), and T'(5, 5)
The coordinate set that describes the image of rectangle MPAT after the translation of 1 unit right and 2 units up is:
M'(2, 4), P'(2, 5), A'(4, 5), and T'(4, 4).
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for the ordered pairs of the vertices of a figure are defined as follows:
Translation left a units: (x, y) -> (x - a, y).Translation right a units: (x, y) -> (x + a, y).Translation up a units: (x,y) -> (x, y + a).Translation down a units: (x,y) -> (x, y - a).The vertices of the original rectangle are given as follows:
M(1, 2), P(1, 3), A(3, 3), and T(3, 2).
The translation is given as follows:
1 unit right.2 units up.Hence the equation is:
(x, y) -> (x + 1, y + 2).
Then the coordinates of the vertices are given as follows:
M'(2, 4), P'(2, 5), A'(4, 5), and T'(4, 4).
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In the expression below, what is the coefficient?
3y-4
Answer: 3y is the coefficient.
Step-by-step explanation: A coefficient is numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or, to put it simpler, a coefficient is a number with an variable next to it.
PLSSS HELP IF YOU TURLY KNOW THISS
c
Step-by-step explanation:
In each spaces is 10 so count from 0 till you get to 55
Bacteria that cause foodborne illness multiply most abundantly between: Question 35 options: 75 and 175 degrees Fahrenheit 40 to 140 degrees Fahrenheit 200 and 300 degrees Fahrenheit 0 and 100 degrees Fahrenheit
The bacteria that cause foodborne illness multiply most abundantly between 40 and 140 degrees Fahrenheit.
Bacteria that cause foodborne illnesses grow and reproduce rapidly at temperatures between 40°F (4.4°C) and 140°F (60°C), which is known as the "Danger Zone." These temperatures allow bacteria to multiply rapidly and increase the risk of foodborne illness.
Therefore, it is important to keep food out of this temperature range as much as possible. Food should be kept below 40°F (4.4°C) or above 140°F (60°C) to reduce the risk of bacterial growth.
Proper cooking, refrigeration, and heating of food can help prevent the growth and spread of harmful bacteria.
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PLEASE HELP, Find the slope of the following lines :D
When Fritz drives to work his trip takes 40 minutes, but when he takes the train it takes minutes. Find the distance Fritz travels to work if the train travels an average of 15 miles per hour faster than his driving. Assume that the train travels the same distance as the car.
The distance Fritz travels to work is 12 miles. When he drives, it takes him 40 minutes, which is 2/3 of an hour. When he takes the train, it takes him 30 minutes, which is 1/2 of an hour.
First, we need to convert the time into hours. 40 minutes is 2/3 of an hour, and 30 minutes is 1/2 of an hour.
Next, we need to find Fritz's driving speed. We know that the train travels 15 miles per hour faster than Fritz, so his driving speed is 15 mph.
Finally, we can find the distance to work by multiplying Fritz's driving speed by the time it takes him to drive to work. 15 mph * 2/3 hour = 12 miles.
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Amelia is buying the five toys shown below.
A. Between $10 and $12
B. Between $13 and $15
C. Between $16 and $18
D.Between $19 and $21
-12(x + 6.2) = 60 what does x equal
Answer: its 11.2 my good sir
Step-by-step explanation:
Im jsut smort trust me its right
“Find the (average) of the following set of data:12,20,1,20,8
Answer:
12.2
Step-by-step explanation:
First add all numbers.
Then divide it by the amount of numbers you added.
Then you have the average.
Hope this helped.
A company with 36 employees is moving to a new location. All of the employees are divided into groups of 3 for the move. Write an equation and find the number of groups used for the move.
Write a division equation to find the number of groups of employees. Let g represent the number of groups.
g=36/3 is the required equation and 12 be the number of groups of employees.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that A company with 36 employees is moving to a new location.
All the 36 employees are divided into groups of 3 for the move
We need to find the number of groups used for the move.
Let g represent the number of groups.
g=36/3
=12
Hence, g=36/3 is the required equation and 12 be the number of groups of employees.
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he length of a rectangle is five times its width.
If the perimeter of the rectangle is 120m , find its length and width.
Answer:
w = 10
l = 50
Step-by-step explanation:
Formula of Perimeter: w + w + l + l or 2w + 2l
l = 5w
2l + 2w = 120
2(5w) + 2w = 120
10w + 2w = 120
12w = 120
w = 10
l = 5(10)
l = 50
Check:
2l + 2w = 120
2(50) + 2(10) = 120
100 + 20 = 120
120 = 120
Hope This Helps!
Lets denote our variables as:
x the width of the rectangle5x the length of the rectangleThe formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:
2(x) + 2(5x) = 120
2x + 10x = 120
12x = 120
x = 120/12
x = 10 m → Width of the rectangle
Substituting in the length:
5x = 5(10) = 50 m → Length of the rectangle
The length of the rectangle is 50 m and its width is 10 m.
The line tangent to the graph of f(x) = sin x at (0, 0) is y = x This implies that
The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0).
y = x is the best straight line approximation to the graph of f(x) = sin x for all x
O sin(0.0005) \approx 0.0005
O sin(0.0005) ≈ 0.0005. The line tangent to the graph of f(x) = sin x at (0,0) is y = x.
The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). This means that the point (0,0) is on the line y = x and the slope of the line y = x is equal to the derivative of the function f(x) = sin x evaluated at x = 0. The slope of the line y = x is 1, so the derivative of f(x) = sin x evaluated at x = 0 is 1.
The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. This is because the first derivative of sin x evaluated at x = 0 is 1, which is the same as the slope of the line y = x. Therefore, the tangent line to the graph of f(x) = sin x at (0,0) is y = x.
Finally, O sin(0.0005) ≈ 0.0005. This is because sin x is approximately equal to x for small values of x. When x = 0.0005, sin x is approximately equal to 0.0005. Therefore, O sin(0.0005) ≈ 0.0005.
In summary, the line tangent to the graph of f(x) = sin x at (0,0) is y = x. The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. O sin(0.0005) ≈ 0.0005.
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what is the missing side length of a rectangle that has side length of 3 2/3 and and an area of 11 sq. m ?
according to the question
one of the length of the rectangle is missing
area is 11 square m
length is 3 2/3m
breath = ?
\(\begin{gathered} \text{area = 11m}^2 \\ \text{length = 3}\frac{2}{3}m=\text{ }\frac{(3\times3)+2}{3}=\text{ }\frac{9+2}{3}=\frac{11}{3}m \\ \text{breath =b} \\ \text{area = length }\times breath \\ 11\text{ = }\frac{11}{3}\times b \\ 11=\frac{11\times b}{3} \\ 11=\frac{11b}{3} \end{gathered}\)cross multiplying
\(\begin{gathered} \frac{11}{1}=\frac{11b}{3} \\ 11b\text{ }\times1\text{ = 11}\times3 \\ 11b=33 \end{gathered}\)divide both side by 11
\(\begin{gathered} \frac{11b}{11}=\frac{33}{11} \\ b=3 \\ \text{the breath is 3m} \end{gathered}\)the missing lenght is the breath which is 3m