Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
pls help pls help pls help
Answer: 336ft²
Step-by-step explanation:
The polygon in the image provided is a trapezoid.
The formula for the area of a trapezoid is \(A=(\frac{a+b}{2} )(h)\)
Where
A is the area
a is one of the bases (24 for this)
b is the other base (32 for this)
and h is the height (12 for this)
Sub the values into the formula and solve
\(A=(\frac{24+32}{2} )(12)\\A=(\frac{56}{2} )(12)\\A=(28)(12)\\A=336\)
Answer:
336
Step-by-step explanation:
24 x 12 = 288. 12 x 8 = 96 divided by 2 is 48. 288 + 48 = 336
A man pulled a cart filled with stones that had a total mass of 60 kg.
He increased the amount of force used to pull the cart from 60 N to 90 N, what is the new
acceleration of the cart?
The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Formula of force,
F = ma
Given that,
A man pulled a cart filled with stones that had a total mass of 60 kg
He increased the amount of force used to pull the cart from 60 N to 90 N
New acceleration of cart = ?
F = ma
Old acceleration,
60 = 60a
a = 1 m/s²
New acceleration,
90 = 60a
a = 90/60
a = 3/2
a = 1.5 m/s²
Hence, the new acceleration is 1.5 m/s²
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Help me please. You can get 20 points
a. The marginal profit function Py is Py = -30x + 47y - 915 and
b. Change in profit if price increase by 1 cent is 831 cents.
Understanding Profit FunctionTo find the marginal profit functions Px and Py, we need to find the partial derivatives of the profit function P(x, y) with respect to x and y, respectively.
Given:
P(x, y) = (x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)
a. Marginal profit function Px:
To find Px, we differentiate P(x, y) with respect to x while treating y as a constant:
Px = ∂P/∂x = (∂/∂x) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]
Expanding the terms and simplifying:
Px = (55 - 4x + 5y) + (x - 40)(-4) + (70 + 5x - 7y)(5)
Simplifying further:
Px = 55 - 4x + 5y - 4x + 40 + 350 + 5x - 7y
Combining like terms:
Px = 355 - 3x - 2y
b. Marginal profit function Py:
Similarly, to find Py, we differentiate P(x, y) with respect to y while treating x as a constant:
Py = ∂P/∂y = (∂/∂y) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]
Expanding the terms and simplifying:
Py = (x - 40)(5) + (70 + 5x - 7y)(-7) + (y - 45)(5)
Simplifying further:
Py = 5x - 200 - 7y - 490 - 35x + 49y + 5y - 225
Combining like terms:
Py = -30x + 47y - 915
This is the profit function Py.
b. Estimating the daily change in profit:
To estimate the daily change in profit, we need to evaluate Px and Py at the given prices and calculate the change in profit when the prices are increased as specified.
Given initial prices:
First brand price (x) = 70 cents
Second brand price (y) = 73 cents
To estimate the change in profit, we substitute the initial prices into Px and Py and calculate the results:
Px(70, 73) = 355 - 3(70) - 2(73)
= 355 - 210 - 146
= -1
Py(70, 73) = -30(70) + 47(73) - 915
= -2100 + 3431 - 915
= 416
The daily change in profit can be estimated by multiplying the changes in price (1 cent for the first brand and 2 cents for the second brand) with the respective marginal profit functions:
Change in profit = ΔP ≈ Px(70, 73) * 1 + Py(70, 73) * 2
≈ -1 * 1 + 416 * 2
≈ -1 + 832
≈ 831 cents
Therefore, the estimated daily change in profit when the salesperson increases the price of the first label by 1 cent and the price of the second label by 2 cents is 831 cents.
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What ordered pairs match the equation?
Answer: (3, 6.3) and (7, 14.7)
Step-by-step explanation:
y = 2.1 x 3 = 6.3
y = 2.1 x 7 = 14.7
Please help me find the answer.
Answer:
a = 16 and b = 2
Step-by-step explanation:
Using the quadratic formula to solve x2 35-x, what are the values of x?
-12-121
-12-11
54.
12/19
51 21
2
Answer:
x = (-1 ± √21) / 2
The first choice
Step-by-step explanation:
x² = 5 - x
Put in standard form
x² + x - 5 = 0
Use quadratic equation
x = ( -b ± √( b² - 4ac) ) / (2a)
Plug in a = 1, b = 1 , c = -5
x = (-1 ± √( 1² - 4*1*(-5)) ) / 2
evaluate
x = (-1 ± √21) / 2
An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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If every 2 cm on a scale drawing is equal to 7 feet in real life, which lines on the drawing would be greater than 21 feet in real life? Select all that apply. A) 7 cm B) 5 cm C) 9 cm D) 12 cm
The correct answers are A) 7cm, C) 9cm and D) 12cm
Define the Conversion of units?The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.
If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.
Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:
⇒ \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)
where y is the length of the line in real life. Solving for y, we get:
⇒ \(y = \frac{7 feet} {2cm} *x\)
⇒ \(y = 3.5 x feet\)
If we put x = 2cm (given) then, y = 7 feet
For y = 21 feet, the value of x = 6cm.
Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.
So, the lines on the drawing that are greater than 21 feet in real life are:
A) 7cm, C) 9cm, D) 12cm
Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm
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find the area of the shape
Answer:
1296 sorry if im wrong
Step-by-step explanation:
:):):):):):):):):):):):):):):):):):):):):):):)
Choose all sets that contain the number 5
Answer:Natural numbers Whole numbers Integers Rational numbers Irrational numbers Real numbers.
Add 2.5 to the product of 4.2 and 0.2
Answer:
3.34.
Step-by-step explanation:
4.2 * 0.2 + 2.5
= 0.84 + 2.5
= 3.34.
Answer:
3.34
Step-by-step explanation:
the product is 4.2×0.2=0.84
add is 2.5 + 0.84=3.34
formula of solving 5+4x/7=-3
Answer:
\(5 + \frac{4x}{7} = - 3 \\ \frac{4x}{7} = - 8 \\ 4x = - 56 \\ x = -\frac{56}{4} \\ \therefore \: x= -14\)
Which best describes the composition of tranformations that maps ∆LMN to ∆L'M'N'. 0,0 is the center of the dilation in each choice.
A. a reflection over the line y=3 followed by a dilation of scale factor 2
B. a dilation of scale factor 2 followed by a dilation of scale factor 12
C. a dilation of scale factor 12 followed by a translation left 1 down 3
D. a dilation of scale factor 2 followed by a translation right 1 up 3
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
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Find the product (6x² + 2x)(x²+4x)
Answer:
6x⁴ + 26x³ + 8x²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: \(\displaystyle b^m \cdot b^n = b^{m + n}\)Step-by-step explanation:
Step 1: Define
(6x² + 2x)(x² + 4x)
Step 2: Expand
FOIL: 6x⁴ + 24x³ + 2x³ + 8x²Combine like terms: 6x⁴ + 26x³ + 8x²Solve the photo displayed above ⬆️
Answer: 216
Step-by-step explanation:its just 6x6x6
he following stem-and-leaf plot represents the test scores for 26 students in a class on their most recent test. Use the data provided to find the quartiles.
Test Scores by Student
Stem Leaves
6 2 4 4 6 7 9
7 1 2 4 7 8
8 4 4 5 5 6 7 7 8
9 0 0 1 3 4 7 8
Key: 6|2=62
Step 1 of 3 : Find the second quartile.
Considering the given stem-and-left plot, the median = second quaritle of the data set is of 84.5.
What is the median of a data-set?The median of a data-set is the 50th percentile, that is, the value that separates the bottom 50% of scores from the upper 50% of scores.
This data-set has even cardinality of 26, hence the median is the mean of the 13th and 14th scores, which, considering the key for the stem-and-leaf plot, are 84 and 85, hence:
Me = (84 + 85)/2 = 84.5.
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Anyone can help me ?? Pleaseeee
C
that's the answer
enjoy
\(\boxed{\underline{\bf \: ANSWER}}\)⇨
\( \sf \frac{x}{27} = \frac{4}{9} \\ \)
Use the cross-multiplication method. Then,..
\( \sf \frac{x}{27} = \frac{4}{9} \\ \sf 4 \times 27 = 9x \\ \sf 108 = 9x \\ \sf 108 \div 9 = x \\ \boxed{ \bf \: 12 = x}\)
So, the correct value of x is 12 (option C.)
_____
Hope it helps.
What is the multiplicative inverse of 1 2/3
Answer:
sorry if im wrong but im pretty sure -5/3
Step-by-step explanation:
Answer:
2/1
Step-by-step explanation:
A calculator showed me that this was the answer. I would give you the link but I would probably get deleted. I already got warned so yeah.
Hope this helps!
NO LINKS!! URGENT HELP PLEASE!!
1. Find the area of a regular octagon. Each side is 12 m.
2. The perimeter of a regular polygon is 72 feet. An exterior angle of the polygon measures 40°. Find the length of each side.
3. If the perimeter of a regular pentagon is 50 in. Find the area. Show a drawing and work please.
Answer:
1) 695.3 m²
2) 8 ft
3) 172.0 in²
Step-by-step explanation:
Question 1To find the area of a regular polygon, we can use the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
Given the polygon is an octagon, n = 8.
Given each side measures 12 m, s = 12.
Substitute the values of n and s into the formula for area and solve for A:
\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)
\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)
\(\implies A=695.29350...\)
Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.
\(\hrulefill\)
Question 2The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.
If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.
To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:
\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)
Therefore:
\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)
\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)
\(\implies 40^{\circ}n=360^{\circ}\)
\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)
\(\implies n=9\)
Therefore, the regular polygon has 9 sides.
To determine the length of each side, divide the given perimeter by the number of sides:
\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)
\(\implies \sf Side \;length=\dfrac{72}{9}\)
\(\implies \sf Side \;length=8\;ft\)
Therefore, the length of each side of the regular polygon is 8 ft.
\(\hrulefill\)
Question 3The area of a regular polygon can be calculated using the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
A regular pentagon has 5 sides, so n = 5.
If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.
Substitute the values of s and n into the formula and solve for A:
\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)
\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)
\(\implies A=172.047740...\)
Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.
Answer:
1.695.29 m^2
2.8 feet
3. 172.0477 in^2
Step-by-step explanation:
1. The area of a regular octagon can be found using the formula:
\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)
where a is the length of one side of the octagon.
In this case, a = 12 m, so the area is:
\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)
Therefore, the Area of a regular octagon is 695.29 m^2
2.
The formula for the exterior angle of a regular polygon is:
\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)
where n is the number of sides in the polygon.
In this case, the exterior angle is 40°, so we can set up the following equation:
\(\bold{40^o=\frac{ 360^0 }{n}}\)
\(n=\frac{360}{40}=9\)
Therefore, the polygon has n=9 sides.
Perimeter=72ft.
We have
\(\boxed{\bold{Perimeter = n*s}}\)
where n is the number of sides in the polygon and s is the length of one side.
Substituting Value.
72 feet = 9*s
\(\bold{s =\frac{ 72 \:feet }{ 9}}\)
s = 8 feet
Therefore, the length of each side of the polygon is 8 feet.
3.
Solution:
A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)
The area of a regular pentagon can be found using the following formula:
\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)
where s is the length of one side of the Pentagon.
In this case, s = 10 in, so the area is:
\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)
Drawing: Attachment
I need help with this IXL special right triangles
Answer:
Step-by-step explanation:
m = 30
10√3 · √3 = 10·3 = 30
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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Just tell me if it's A B C or D
Answer:
B
Step-by-step explanation:
its B
how many men have a waist measurement of more than 85cm
Answer:
29
Step-by-step explanation:
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)
the cost of a table is 5 times the chair what is the price of chair if the total is 1050
Answer:
the cost of the chair is 175.
Step-by-step explanation:
if the chair is x, the table will be 5x
now,
the equation formed will be,
5x+x = 1050
on solving,
6x= 1050
x= 1050÷6
x= 175
therefore, the cost of the chair will be x= 175.
and the cost of the table will be 5x= 5×175 = 875.
hope it helps!!PLEASE MARK BRAINLIEST ♡A frame around a rectangular family portrait has a perimeter of 96 inches. The length of the frame is 6 inches less than
twice the width. Find the length and width of the frame.
Width of the frame is
inches
Length of the frame is
inches
The length is 30 inches.
How to get the length of the frame?
For a frame of length L and width W, the perimeter is:
P = 2*(L + W).
Here we know that:
P = 96 in
L = 2*W - 6in
Replacing that we get:
96in = 2*( (2*W - 6 in) + W)
Now we can solve that equation for W:
96in = 2*(3W - 6in)
96in/2 + 6in = 3W = 54in
W = (54in)/3 = 18in
The width is 18 inches, then:
L = 2*W - 6in = 2*(18 in) - 6in = 30in
The length is 30 inches.
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check my most recent question!!!!!!! im stuck T-T 25 points!!!
Answer:
okay :)
Step-by-step explanation:
Answer:
What is your question?
Step-by-step explanation:
Mr. Clements painted his barn during 3
3
8
hours in the morning. He painted the barn during5
3
7
hours in the afternoon.
Select True or False for each of the following statements.
A common denominator of mixed numbers is 56.
This sentence is
?
.
The amount of time you spent painting in the morning can be rewritten as3
fifteen
32
hours.
This statement is
?
.
Mr. Clements passed2
3
56
more hours painting in the afternoon than in the morning.
This statement is
?
.
Answer:
True vabvm,bvjBEFLJhvbhfvvgefyfe
Step-by-step explanation:
Help me with my math
Answer:
The first one is correct
Step-by-step explanation:
-3<1-1 - 3<0 correct
-3>1 it is not correct