Answer:
(a) = 71 cm
(b) = 89 cm
Step-by-step explanation:
(a.)
perimeter of a rectangular field = 324 m
length (l) = 91 m
width (w) = ?
Now,
Perimeter Of Rectangle
= P = 2(l + w)
= 2(91 + w) = 324m
= 182 + 2w = 324m
= 2w = 324 - 182m
= 2w = 142m
= w = 142/2
= w = 71
(b.)
area of rectangular painting = 5696 cm²
width (w) = 64 cm
length (l) = ?
Now,
Area Of Rectangle
A = l × w
= l × 64 = 5696
= l = 5696/64
= l = 89 cm
VERIFICATION:-FOR (a)
= P = 2(l + w)
= P = 2(91 + 71) = 324 cm
FOR (b)
= l × w
A = 89 × 64 = 5696
find the distance between a point (6,9) and a horizontal line at y=5
Answer:
Distance = √52
Step-by-step explanation:
Given:
First point = (6,9)
And y = 5
So,
x = 0
Second point = (0,5)
Find:
Distance
Computation:
Distance = √(x1 - x2)² + (Y1 - Y2)²
Distance = √(6 - 0)² + (9 - 5)²
Distance = √ 36 + 16
Distance = √52
What is the domain of the piecewise function below?
-2x+8 if x>3
f(x)= -x^2 if-2
1 if x <-2
A. all real numbers between -2 and 3
B. all real numbers less than -2
C. all real numbers greater than or equal to 3
D. all real numbers
Answer:
Answer D : All real numbers
Step-by-step explanation:
Notice that all real numbers are covered in the Domain of the piece-wise function:
[tex]x<-2[/tex] union with [tex]-2\leq x<3[/tex] union with [tex]x\geq 3[/tex]
That covers the entire Real number line.
Two angles are supplementary. The measure of angle 1 is equal to 12x+4 and the measure of angle 2 is equal to 4(2x+5).what is the measure of angle 2?
Answer:
82.4
Step-by-step explanation:
12x+4+8x+20=180
20x+24=180
-24 -24
20x= 156
x= 7.8
Angle 2
4(2*7.8 +5)
4(15.6+5)
4(20.6)
82.4
last year cathy was 4 feet tall. this year she grew an addition 0.12 foot. How tall is she now?
Answer:
4.12 ft
Step-by-step explanation:
because 4+0.12=4.12
Answer:
Let's convert 5.1 ft to inches......we have
5.1 x 12 = 61.2 inches
So
61.2 (1.08) = 66.096 inches
And coverting this to back to ft, we have
66.096/12 = 5.508 ft
Step-by-step explanation:
Question 2
Solve the equation.
a +3.7 = 4.1
Answer:
.4=a
Step-by-step explanation:
self explanatory
What are the subsets of 5564
Answer:
It will be in the total of 2 subsets.
Step-by-step explanation:
The only subsets of the set containing 5564 is the empty set and the set {5564}.
5564 belongs to the set of real numbers, the set of natural numbers, the set of integers, the set of whole numbers and the set of rational numbers.
Answer:
5564 belongs to the following subsets of real numbers:
real numbers
rational numbers
integers
whole numbers
natural numbers (counting numbers)
----
You can keep on going. You can even say this number belongs to the set of even integers.
Step-by-step explanation:
If you are looking for what subsets of the real numbers that 5564 belong to, then there is a lot of real number subsets to which this number can belong.
This number doesn't have an imaginary part so it's it a number.
We don't have to say it is complex (though it is), because we are looking at subsets of real numbers, not subsets of complex numbers (to which complex numbers are a subset of itself).
So the real numbers are divided into rational versus irrational.
The definition of rational numbers is any number that can be written as a fraction where the top and bottom are integers (of course the bottom integer cannot be 0). -(I will define integers in a second.)
Irrational numbers is any real number that isn't rational.
So since 5564 can be written as 5564/1, then it is rational.
A subset of rational numbers is integers (integers are in consequence also a subset of real numbers since rational numbers are a subset of real numbers).
Integers are numbers you count with, the opposite of those numbers you count with, or 0.
You can count to 5564 so 5564 can be further categorized as real rational integer.
Another subset of real numbers is whole numbers. The whole numbers is just the counting numbers and 0. Again since you count to 5564, then it is a whole number.
The natural numbers (counting numbers) is a subset of real numbers. Again, since 5564 can be counted to, it is a natural number.
Find the area of this triangle. Round to
the nearest tenth.l
Answer:
[tex]\boxed{109.3yd^2}[/tex]
Step-by-step explanation:
Hey there!
Well to find area we'll use the following formula.
[tex]\frac{b h_{b} }{2}[/tex]
Plug in the given info,
[tex]\frac{9.5*23}{2}[/tex]
Simplify
218.5/2
109.25 or 109.3 rounded to the nearest tenth
= 109.3yd²
Hope this helps :)
Area = 1/2 x side1 x side 2 x sin(angle)
= 1/2 x 9.5 x 23 x sin(85)
= 109.25 x sin(85)
= 108.8 square yards
Suppose the average yearly salary of an individual whose final degree is a masters is $36 thousand less than twice that of an individual whose final degree is a bachelors. Combined, two people with each of these educational attainments earn $117 thousand. Find the average yearly of an individual with each of these final degrees.
Answer:
Bachelors = $51,000
Masters = $66,000
Step-by-step explanation:
M + B = 117,000
M = 2B - 36,000
2B - 36,000 + B = 117,000
3B = 153,000
B = 51,000
M = 2(51,000) - 36,000 = 66,000
The yearly salary of a bachelor's degree and a master's degree is 51 thousand and 66 thousand dollars respectively.
How to write numerical expressions from given statements ?To write numerical expressions from given statements use logic as what is twice of a number what is 6 times of a number and many more.
Suppose a is thrice of b means a is 3 times as big as b.It can be written as a = 3b.
According to the given question the average yearly salary of an individual whose final degree is a masters is 36 thousand dollars less than twice that of an individual whose final degree is a bachelors.
Assuming yearly salary of a bachelor's degree is x thousand dollars.
∴ yearly salary of an individual with master's degree is
= (2x - 36) thousand dollars.
Given combining these two individual they make 117 thousand dollars.
∴ x + (2x - 36) = 117
3x = 117 + 36
3x = 153
x = 153/3
x = 51.
So, Yearly salary of an individual who has a bachelors degree is 51 thousand dollars and yearly salary of an individual who did masters is {(2×51) - 36} = 102 - 36 = 66 thousand dollars.
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Villandry's inventory includes three items for which the following details are available. Supplier's Net realisable list price value Shs. Shs. Product A 3,600 5,100 Product B 2,900 2,800 Product C 4,200 4,100 The company receives a 2½% trade discount from its suppliers and it also takes advantage of a 2% discount for prompt payment.
Question Completion:
Required:
(a) Calculate the total value of products A, B and C which should be shown in inventory in the statement of financial position.
(b) Explain the difference that changing from a weighted average to FIFO method of inventory valuation is likely to have on an entity's profit or loss.
Answer:
Villandry
a) Total value of products A, B, and C based on:
Net realizable List price
Value
Shs. Shs.
Ending value 10,486 12,000
b) The difference that changing from a weighted average to FIFO method of inventory valuation is likely to have on an entity's profit or loss:
The weighted average method of inventory valuation accumulates and assigns cost of inventory based on the weighted average. This simply means that the cost of goods available for sale is obtained and then divided by the number of goods available for sale. The average cost obtained is used to value the cost of goods sold and the ending inventory.
On the other hand, the FIFO method assumes that goods that are first to be in the store are the ones that are sold first. This means that the cost of goods sold is valued at the cost of the first goods that are available for sale and the ending inventory is valued at the cost of newly purchased goods, since they are the ones that are still in stock by the FIFO assumption.
The implication of moving from the weighted average method to the FIFO method is that the FIFO method reflects the cost of newly acquired goods in the ending inventory better than the average cost using the weighted average, especially if prices are rising.
Step-by-step explanation:
a) Data and Calculations:
Net realizable List price
Shs. Shs.
Product A 3,600 5,100
Product B 2,900 2,800
Product C 4,200 4,100
Valuation 10,700 12,000
Discounted 10,486 12,000
Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?
Time (sec)
Frequency
60119
120179
180239
240299
300359
Answer:
Step-by-step explanation:
The total number of individuals included in this summary is the sum of the counts {119, 179, 239, 299, 359). That comes to 1195 individuals.
No, the info given here is insufficient to enable identifying the exact values of all the service times.
Perform the indicated operation. x^2-y^2/3x * 3y/x+y
Answer:
xy-y^2/x
Step-by-step explanation:
you factor the expression and reduce the gcf 3:
(x-y)*(x+y)/x *y/x+y
reduce the expression with x+y:
x-y/x*y
calculate the product:
y*(x-y)/x
remove parenthesis:
xy-y^2/x
please help me with this
The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However, records indicate that the mean time is 11.2 minutes and the standard deviation is 4.8 minutes
(a) to compute probabilities regarding the sample mean using the normal model, what size sample would be required?
(b) What is the probability that a random sample of n=45 oil changes results in a sample mean time less than 10 minutes?
Answer:
The answer is below
Step-by-step explanation:
a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.
b) Given that:
μ = 11.2 minutes, σ = 4.8 minutes, n = 45
The z score determines how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\For\ a\ sample\ size(n)\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
For x < 10 minutes
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\ z=\frac{10-11.2}{4.8/\sqrt{45} }= -1.68[/tex]
Therefore from the normal distribution table, P(x < 10) = P(z < -1.68) = 0.0465
The new bookcase for your future dorm room has the dimensions of 24 in wide by 12 in deep by 36 in tall. if one average
textbook has the dimensions of 8.5 in wide by 11 in long by 1.5 in tall, how many books could you fit on your bookshelf with
no shelving?
O 73 books
140 books
10368 books
The correct answer is A. 73 books
Explanation:
The first step to find the answer is to know the total volume/space in the bookcase. This can be calculated by using the formula v (volume) = h (height) x l (length) x w (width) or multiplying the three sides given because this is the formula for a cuboid and most bookcases have this shape.
v (volume) h x l x w
v = 36 in x 24 in x 12 in
v = 10368 in
According to this, the total volume of the shelf is 10368 in. The next step is to calculate the volume of 1 book. This can be found using the same process and formula.
1.5 in x 11 in x 8.5 in = 140.25 in
Finally, to know how many books can fit in the bookshelf divide the total volume of the bookshelf into the volume of one book.
10368 ÷ 140.25 = 73.9
Thus, the total books that can be fit in the bookshelf is 73
To one-one functions g and h are defined as follows.
Answer:
9(x-8)/3-1Step-by-step explanation:
The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.
[tex]g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}[/tex]
__
The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.
[tex]h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}[/tex]
A function of its own inverse returns the original value:
[tex]\boxed{\left(h\circ h^{-1}\right)(-1)=-1}[/tex]
AB= 10 & AC=25 find the length of BC.
Answer:
15
Step-by-step explanation:
We can imagine this like a number line.
A------------B--------------------C
The distance from A to B is 10.
The distance from A to C is 25.
This means that the distance from B to C will be [tex]25-10=15[/tex].
Hope this helped!
There are four students, all of different heights, who are to be randomly arranged in a line. What is the probability that the tallest student will be first in line and the shortest student will be last in line?
Answer:
Hey there!
The answer is 1/12
1/4(1/3)=1/12
Let me know if this helps :)
pls do this!! scientific method
Answer:
a. [tex]1\,\,\,10^4[/tex]
b. [tex]1.57\,\,\,10^{-4}[/tex]
c. [tex]1.2\,\,\,10^{10}[/tex]
d. [tex]1.72\,\,\,10^{-15}[/tex]
e. [tex]4.53\,\,\,10^5[/tex]
f. [tex]5.682\,\,\,10^{14}[/tex]
g. [tex]8.1\,\,\,10^{-8}[/tex]
h. [tex]9.04\,\,\,10^{-13}[/tex]
i. [tex]7.123\,\,\,10^3[/tex]
j. [tex]4\,\,\,10^{-3}[/tex]
Step-by-step explanation:
Start by recognizing the significant figures of the number in question. the first factor to include in the scientific notation should have a non-zero digit followed by a decimal point, and whatever other significant figures follow. Make sure you count how many places you need to move the decimal point to get to the first significant figure for the quantity. If you moved the decimal point to the left in order to get to the first significant figure, you have to include a positive exponent for the base ten, and that exponent is the number of places you counted. If you moved to the right when moving the decimal point to locate it after the first significant figure, you need to include the negative of the number of places you counted in the exponent of the accompanying base 10.
A line passes through the point (-6, 8) and has a slope of
3
د ادا
Write an equation in slope-intercept form for this line.
Answer:
y = 3x + 26
Step-by-step explanation:
Plug in the slope and the given point into the equation, y = mx + b
Solve for b (y intercept)
8 = 3(-6) + b
8 = -18 + b
26 = b
Now, plug this into the equation with the slope:
y = 3x + 26 will be the equation
Answer:
y=3x+26
Step-by-step explanation:
We can start by writing this line in point-slope form.
Point-slope form is:
y-y1=m(x-x1)
This is where m is the slope
x1 and y1 are the x and y coordinates of a given point on a line.
With the given info, we are able to write the following equation:
y-8=3(x-(-6))
y-8=3(x+6)
We can now simplify that to slope-intercept form which is y=mx+b
m is slope and b is y-intercept in this form.
y-8=3(x+6)
Distribute
y-8=3x+18
Add 8 to both sides.
y=3x+26
What is the horizontal distance from the origin to the point (1, 4)
The horizontal distance from the origin to the point (1, 4) is 1 unit.
What is Distance?The length along a line or line segment between two points on the line or line segment.
To find the horizontal distance from the origin to the point (1, 4)
we need to find the x-coordinate of the point.
The x-coordinate of the point (1, 4) is 1
1 represents the horizontal distance from the origin to the point.
Therefore, the horizontal distance from the origin to the point (1, 4) is 1 unit.
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7 - 2x if x = -4 And show your work
Answer: 15
Step-by-step explanation: To evaluate an expression, we plug the value of the variable into the expression and simplify.
Since we have 7 - 2x and x is -4, we have 7 - 2(-4).
Simplifying from here, 2(-4) is -8 so we have 7 - (-8).
Now, remember that a a minus sign followed by a
negative sign turns the two signs into a plus sign.
So 7 - (-8) can be thought of as 7 + (+8) which is 15.
Algebra question down below (screen shot of the question)
Hi there! :)
Answer:
[tex]\huge\boxed{18 units}[/tex]
Subtract point F from point G to solve for the distance:
12 - (-6) = 18 units.
Give the values of Xmin, Xmax, Ymin, and Ymax for the screen, given the values for Xscl and Yscl.
Xscl = 10, Yscl = 10
Answer: Option C.
Step-by-step explanation:
Xmin, Xmax, Ymin, and Ymax represent the minimum/maximum values that X and Y can take.
We know that the scale in Y and X is 10.
This means that each mark in each axis represents 10 units.
Now, let's go to the vertical axis (y-axis)
Counting from the (0, 0) we can count:
4 marks up
4 marks down.
So if each mark represents 10 units, 4 marks are 40 units.
Then the range for Y is {-40, 40}
Now for the horizontal axis.
We can count 3 marks on each side, and with the same reasoning as before, we can find that the range for X is: {-30, 30}
Then we have that:
Xmin = -30
Xmax = 30
Ymin = -40
Ymax = 40
Now, as a point is defined as (X, Y)
This region can be written as:
{Xmin, Xmax} by {Ymin, Ymax}
or, replacing the values:
{-30, 30} by {-40, 40)
So the correct option is C.
C] X min and X max = (-300, 300) and Y min and Y max = (-400, 400)
Xmin, Xmax, Ymin and Ymax denote minimum and maximum values of X and Y respectively.
As x and Y scale are 10 each, the minimum and maximum values can be found by multiplying the units with respective scales.
On X (Horizontal Axis), there are 3 units of line segments each on both left & right sides of origin.
Hence X min & X max = (0 - 300, 0 + 300) = (-300, +300) respectively.
On Y (Vertical Axis), there are 4 units of line segments each on both upwards & downwards sides of origin.
Hence Y min & Y max = (0 - 400, 0 + 400) = ( -400, + 400) respectively.
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Find the slope of the line graphed below.
Answer: undefined
Step-by-step explanation:
#1 use the horizontal and vertical line concept
- when the line is horizontal, the slope is 0
- when the line is vertical, the slope is undefined
- Thus, in this case, the line is vertical, the slope is undefined.
-----------------------------------------------------------------------------------------
# use the slope formula
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
- the two points are (1, 1) and (1, -4)
(-4-1)/(1-1)
=-5/0
= undefined (fractions with 0 base is undefined)
One ton equals 2,000 pounds. How many pounds are there in 2'/8 tons?
Answer:
There are 500 pounds in 2/8 tons.
Step-by-step explanation:
Let's first simplify 2/8. 2/8 is equal to 1/4 since 2 divided by 2 is 1 and 8 divided by 2 is 4. Now we have to divide 2000 by 1/4 which equals to 500 pounds. So there are 500 pounds in 2/8 tons.
The 10,000-meter long-distance running event in the summer Olympics is approximately 6.2 miles. Which equation could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute?
Answer:
[tex]\bold{t = f(s) = \dfrac{6.2}{s}}[/tex]
Step-by-step explanation:
Given that distance is 10,000 meter or 6.2 miles.
Time taken is [tex]t[/tex] minutes.
Average speed is [tex]s[/tex] miles/minutes
To find:
Equation to determine time 't' as a function of average speed 's' = ?
t is in minutes and
s is in miles/minute
Solution:
First of all, let us have a look at the formula for Average Speed:
[tex]\text{Average Speed} = \dfrac{\text{Total Distance Traveled}}{\text{Total Time Taken}}\\\Rightarrow \text{Total Time Taken} = \dfrac{\text{Total Distance Traveled}}{\text{Average Speed}}\\[/tex]
Now, we are given that Time, [tex]t[/tex] should be in minutes and
Average speed, [tex]s[/tex] must be in miles per minute
That means, we must have distance in miles.
Putting all the values in above formula.
So, the formula or equation becomes:
[tex]t = \dfrac{6.2}{s}[/tex]
Therefore the equation to find time, [tex]t[/tex] in minutes as a function of Average Speed, [tex]s[/tex] is given as:
[tex]\bold{t = f(s) = \dfrac{6.2}{s}}[/tex]
could i have some help? day 4 of online school and im already so confused lol..
Answer:
$2416
Step-by-step explanation:
plug in 5 in the place of t
1500(1.1)⁵
(1.1)⁵ = 1.61051
1.61051 x 1500 = 2415.765
Given image A' B' C' D' E' if the pre-image contained point A(-1,5), which of the transformation resulted in image A' B' C' D' E'
Answer: c
Step-by-step explanation:
The price of share company's stock has been decreasing at a constant rare of $0.50 per share of stock is now $25, for how many hours has the price been below $30 per share?
30-25 = 5
The stock has dropped $5 total.
$5 / $0.50 per hour = 10 hours
Clare used a compass to make a circle with radius the same length as segment . She labeled the center . Which statement must be true?
Answer:
C. AB=CF
Step-by-step explanation:
Since AB is equal to radius of circle,
And CF is the radius of circle,
The correct one is:
AB=CFCorrect answer choice is C. AB=SF