The expression for the price Samantha paid for the candies is mc/n dollars.
We know that an expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
Given that the number of candy that Samantha bought is m.
There are n candies in 1 pound.
i.e. 1 candy in 1/n pounds.
Then m candies in m/n pounds.
Also given that each pound costs c dollars.
So, m/n pound costs (m/n)*c dollars i.e. mc/n dollars.
We can conclude that the expression for the price Samantha paid for the candies is mc/n dollars.
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what is the sum of the least and greatest amount of juice1 4/6 is the least 3 is the greatest show your work
Answer:
Min = 1 4/6
Max = 3
Sum = min + max
=> sum = 1 4/6 + 3
=> sum = 4 /4/6
Answer:
4 4/6
Step-by-step explanation:
what’s the answer ??
Answer:
Left box: 1/2n
Right box = 2n - 22
Step-by-step explanation:
Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.
Thus, you want to put 1/2n in box on the left.
Twice the number and 22 less than this is given by: y: 2n - 22 less than this means we subtract. Thus, we have 2n - 22 as the numerator on the right hand side of the equation.
Thus, you want to put 2n - 22 in the box on the right.
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.
Correct Question
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
C. How many cubic yards of concrete are needed to make the planter?
Answer:
A. The slant height of the pyramid = 2.24 yards.
B. The surface area of the composite figure = 12.94 square yards.
C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.
Step-by-step explanation:
A. What is the slant height of the pyramid?
To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:
a² + b² = c²
Where a = Height of the square pyramid represent by h
b = radius of the square pyramid represented by r
c = Slant height of the square pyramid represented by s
Therefore, we have
h² + r² = s²
Looking at the attached diagram, we are given the side length = 2 yards.
The radius of the square based pyramid = side length ÷ 2
= 2÷ 2 = 1 yard.
The height of a square based pyramid = 2 yards
Since , h² + r² = s²
The slant height of the square pyramid is calculated as :
√h² + r² = s
√(2² + 1²) = s
√5 = s
s = 2.24 yards
B. What is the surface area of the composite figure?
We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
Step 1
We find the Lateral area of the faces of the insides of the inverted pyramid
We have 4 faces, Hence,
The formula is given as
a × √( a² + 4h²
a = 2 yards
h = 2 yards
So, = 2 × √( 2² + 4 ×2²
The Lateral area of the faces = 8.94 square yards.
Step 2
Area of the 5 faces of the cube
= a²
Where a = side length = 2 yards
= 2²
= 4 square yards.
Step 3
Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards
= 12.94 square yards.
C. How many cubic yards of concrete are needed to make the planter?
This is calculated by find the Volume of the Square based pyramid.
The formula is given as :
V = (1/3)a²h
Where a = side length = 2 yards
h = height of the square based pyramid = 2 yards
V = 1/3 × 2² × 2
V = 2.67 cubic yards
(c) explain what would happen to the length of the interval if the confidence level were... (i) increased to 99% (ii) decreased to 80%
If the confidence level were increased to 99%, the width of the confidence interval increases, when decreased to 80%, the width of the confidence interval decreases.
What is confidence interval?A confidence interval provides a range of estimated values for a population parameter's real value. A confidence level is connected to confidence intervals. The width of the confidence interval grows as the confidence level increases. The width of the confidence interval reduces as the confidence level goes down.
Since the margin of error grows as the confidence level does as well, the confidence interval will be bigger. Hence it increases for 99% and decreases for 80%.
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Write the sentence as an inequality -7/8 is at most the difference of twice a number m and 5/4
Answer:
2m - 5/4 ≤ -7/8
The given inequality can be written as 2m - 5/4 ≤ -7/8.
What is an inequality ?Inequality is of four types they are
a<b ⇒ a is less than b.
a≤b ⇒ a is less than or equal to b.
a>b ⇒ a is greater than b.
a≥b ⇒ a is greater than or equal to b.
According to the given question
An inequality -7/8 is at most the difference of twice a number m and 5/4 which is 2m - 5/4 ≤ -7/8.
Difference of twice a number 'm' and 5/4 is 2m - 5/4 and this is at most -7/8 means less than or equal to.
∴ The given statement can be written as 2m - 5/4 ≤ -7/8
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What is a disadvantage of electron microscopes compared to light microscopes?
They do not have a very high power of resolution.
They cannot be used to view live specimens.
They can only be used by doctors.
They can only see surface details.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. Therefore, option B is the correct answer.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. This is because the electron microscope requires a vacuum environment to function properly, which would kill any live specimen. Additionally, electron microscopes can only see surface details and do not have a very high power of resolution. Lastly, electron microscopes can only be used by doctors or trained technicians, so they are not as widely available as light microscopes.
Therefore, option B is the correct answer.
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A disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens (option b). Electron microscopes use a beam of electrons to create an image, which requires a vacuum environment. This means that living organisms cannot survive in the vacuum and therefore cannot be observed with electron microscopes.
I hope this helped! :)
Gabriel and his friends went into a restaurant and they want to buy some chicken wings and tacos. Each chicken wing costs $0.50 and each taco costs $2.00. How much would it cost to buy 30 chicken wings and 4 tacos? How much would it cost to buy c chicken wings and t tacos?
What is the complement to Angle 1 if it measures 63 degrees
Answer:
27º
Step-by-step explanation:
complementary angle is equal to 90º
90 - 63 = 27
A researcher interviews 6 widows about their marriages and notices how many cats are wandering around. Is there a significant relationship between the number of times an old widow was married and the number of cats the old lady owns? ( You don't need to do the math to calculate it - the Pearson r is given).
Times Married: 1 1 2 2 3 3
Cats Owned: 3 2 4 5 5 6
Pearson r = +.91
Write up the conclusion for this study in APA format and be sure to include the r2.
There is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).
Given, the Pearson correlation coefficient of +0.91,
There appears to be a strong +ve correlation between the number of cats she owns and the number of times an old widow was married.
It suggests that the more times a widow was married,the more cats she tends to own.
Approximately 82% of the variance in the number of cats owned can be explained by the number of times a widow was married is indicated by the coefficient of determination (r²).
Hence, we can say that there is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).
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Please do it with step by step explanation it will help me so much thanks!
Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $30. Now the cost is $39.
a. What is the percent increase?
b. What would be the percent increase if the ticket agent charges an additional $4.50 fee with the new ticket price?
Answer:
A) The percent increase is by 30%.
B) for the original price = 15%.
B2.0) for the existing price (39) = approximately 11.54%.
Step-by-step explanation:
A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.
B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).
what type of triangle is ABC,give reasons
Answer:
ABC in the given figure is an equilateral triangle, its all sides are equal. AB = BC = CA. (i) A triangle in which all the three angles are acute is called an acute angled triangle
Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds. Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds. Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris. Which of the following represents the standard deviation of the sampling distribution for x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C?
0.09
0.13
0.17
0.18
The sampling distribution for x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C is 0.13.
What is formula of standard deviation?The standard deviation of the sampling distribution for the difference in sample means can be calculated using the formula:
Standard deviation of the sampling distribution = √[(σ\(A^2\)/nA) + (σ\(C^2\)/nC)]
Where nA and nC are the sample sizes for Alex and Chris, respectively, and A and C are the standard deviations of the population for Alex and Chris, respectively.
Substituting the given values, we get:
Standard deviation of the sampling distribution = \(\sqrt{[(0.38^2/10) + (0.2^2/15)]}\)
= \(\sqrt{0.01444 + 0.00222}\)
= \(\sqrt{0.01666}\)
= 0.129
Therefore, the answer is 0.13.
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At the market you spent $21 for 5 bags of chips and 3 bottles of mango juice. Your buddy
spent $12 for 2 bags of chips and 3 bottles of mango juice. How much does each item cost?
Answer:
$2 for each bottle of mango juice and 3$ for each bag of chips
Step-by-step explanation:
hope it can help you lovelots
There are 120 wooden roller coasters in operation.This value represents 15% of all the roller coasters.How many roller coasters are there?HELPPPPPP MEEEEEE also PLEASEE include an explanation
Answer:
800 roller coasters
Step-by-step explanation:
120/x = 15/100
120/x=15 x 8/100 x8
120/x = 120/800
x=800
If f(x)= x2 and g(x)= x + 6, find g(fo)).
OA.
-6
OB.
6
O C.
12
OD.
D. 36
Given:
The functions are
\(f(x)=x^2\)
\(g(x)=x+6\)
To find:
The value of g(f(0)).
Solution:
We have,
\(f(x)=x^2\)
Putting x=0, we get
\(f(0)=0^2\)
\(f(0)=0\)
Now,
\(g(f(0))=g(0)\) \([\because f(0)=0]\)
\(g(f(0))=0+6\) \([\because g(x)=x+6]\)
\(g(f(0))=6\)
Therefore, the value of g(f(0)) is 6 and the correct option is B.
Can someone please help me with this!! ASAP
Answer:
The bbn vxcndzx Decide which item would best check the reliability of each statement.
Bvdfiuxjgiodfjcgkfmctgihnrdtjfk,m viufihjmgjkhyntfuvibjkhmgutjfyh,jmtifg
This book was written by a prominent banker in England.
check author's background
check copyright date
check another referenceb
Step-by-step explanation:
Câu hỏi
6 : (x -1 )
-----------------
Answer:
i don't
Step-by-step explanation:
know spanish
The second side of a triangular deck is 3 feet longer than the shortest side, and the third side is 3 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 52 feet, what are the lengths of the three sides?
The shortest side of the triangle measures 17 feet.The second side of the triangle measures 20 feet.The third side of the triangle measures 31 feet.What is the length of the three sides?The perimeter of a triangle is the sum of the length of the three sides of the triangle. Let the shortest side be represented with s.The second side = 3 + s The third side = 2s - 3 2s - 3 + 3 + s + s = 68 4s = 68s = 17The second side = 17 + 3 = 20 The third side = = (2 x 17) - 3 = 31
Solve the equation for v.
0.5v + 0.06 < 3.46
v > 1.8
v < 1.8
v > 6.8
v < 6.8
Answer:
\(\boxed{\tt v < 6.8}\)
Step-by-step explanation:
\(\tt 0.5v+0.06 < 3.46\)
Multiply both sides by 100:-
\(\tt 0.5v\times\:100+0.06\times\:100 < 3.46\times\:100\)
\(\tt 50v+6 < 346\)
Subtract 6 from both sides:-
\(\tt 50v < 340\)
Divide both sides by 50:-
\(\tt \cfrac{50v}{50} < \cfrac{340}{50}\)
\(\tt v < \cfrac{34}{5}\)
Or
\(\tt v < 6.8\)
Therefore, your answer is v < 6.8!!! :)
______________________
Hope this helps!
Have a great day!
Let f be the function defined by f(x)= x 2 −x 3x 3 +2x 2.
Which of the following statements is true?
(A) f has a discontinuity due to a vertical asymptote at x=0 and at x=1.
(B) f has a removable discontinuity at x=0 and a jump discontinuity at x=1.
(C) f has a removable discontinuity at x=0 and a discontinuity due to a vertical asymptote at x=1.
(D) f is continuous at x=0, and f has a discontinuity due to a vertical asymptote at x=1.
The correct answer is (D) f is continuous at x=0, and f has a discontinuity due to a vertical asymptote at x=1.
The function f(x) is a polynomial function defined as f(x) = x^2 - x^3 + 2x^2. To determine the discontinuities of f, we need to examine the behavior of the function at x = 0 and x = 1.
To check if there is a discontinuity at x = 0, we evaluate the limit of f(x) as x approaches 0. Taking the limit as x approaches 0, we have lim(x→0) f(x) = lim(x→0) (x^2 - x^3 + 2x^2) = lim(x→0) x^2(1 - x + 2) = 0. Since the limit exists and is equal to f(0) = 0, f is continuous at x = 0.
Next, we examine the behavior at x = 1. To determine if there is a vertical asymptote, we check the limit of f(x) as x approaches 1 from both sides. Taking the limit as x approaches 1 from the left, we have lim(x→1-) f(x) = lim(x→1-) (x^2 - x^3 + 2x^2) = lim(x→1-) x^2(1 - x + 2) = 4. Taking the limit as x approaches 1 from the right, we have lim(x→1+) f(x) = lim(x→1+) (x^2 - x^3 + 2x^2) = lim(x→1+) x^2(1 - x + 2) = 4. Since both limits exist and are equal to f(1) = 4, there is no vertical asymptote at x = 1.
Therefore, the correct statement is (D) f is continuous at x = 0, and f has a discontinuity due to a vertical asymptote at x = 1.
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For what values of a is the value of the binomial 2a-1 smaller than the value of the binomial 7-1.2a
Answer:
Step-by-step explanation:
2a-1<7-1.2 a
2a+1.2a<7+1
3.2 a<8
a<(8/3.2)
or a<(80/32)
or a<5/2
or a<2.5
let x represent the sum of the first 25 positive odd integers. let $y$ represent the sum of the next 25 positive odd integers. what is the value of y-x?
By using the concept of arithmetic series, it can be calculated that
y - x = 1250
What is arithmetic series?
Arithmetic series are those series whose difference between two consecutive terms are same.
The odd integers forms an arithmetic series
For the sum of first 25 odd integer
First odd integer = 1
25th odd integer = 49
Sum of first 25 odd integers = \(\frac{25}{2}(1 + 49)\) = 625
x = 625
For the sum of first 50 odd integers
First odd integer = 1
50th odd integer = 99
Sum of first 50 odd integers = \(\frac{50}{2}(1 + 99)\) = 2500
Sum of next 25 odd integers = 2500 - 625 = 1875
y = 1875
y - x = 1875 - 625 = 1250
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What is the answer ?
third picture shows cube root of 64=4
What is the value of y?
Answer:
y=20º
Step-by-step explanation:
since the triangle is an isosceles triangle,
(5x)º=25º
25+25=50º
180º-50º=130º
3y+70º=130º
130-70=60º
3y=60º
y=60/3
y=20º
Answer:
y = 20Step-by-step explanation:
We know that:
The given triangle is an isosceles triangle because its two legs are the same length.25 = 5xFirst, let's find the value of x.
=> 25 = 5x=> 25/5 = 5x/5=> x = 5Now, let's use the triangle property to solve for y.
3y + 70 + 25 + 25 = 180=> 3y + 120 = 180=> 3y = 180 - 120=> 3y = 60=> y = 20Hence, the value of y is 20.
Write four equal fractions for each fraction. Multiply the numerator and the
denominator by the same number. Use the multipliers 2,3,4,5.
rin N/m
Answer:
1/5 = 2/10 = 3/15 = 4/20 = 5/25
2/3 = 4/6 = 6/9 = 8/12 = 10/15
Step-by-step explanation:
Multiply both numerator and denominator by same number.
example:
1 2 2
_ x _ = _
5 2 10
do this for each multiplier, so
1/5 × 2/2; 1/5 × 3/3; 1/5 × 4/4; 1/5 × 5/5;
and
2/3 × 2/2; 2/3 × 3/3; 2/3 × 4/4; 2/3 × 5/5;
Look at the figure. Which ray is opposite of DE ?
Answer:
BA
Step-by-step explanation:
DE is the last two letters, and BA is the first two
In a sale, the selling price of a bicycle is reduced by 20%. Find the sale price of the bicycle, given that its normal selling price is Rs 3300.
Answer:
1-0.2=0.8
0.8*3300= 2640
Original price = 3300
sale = 20% = 3300×20/100 = 660
Selling price= 3300-660= 2640 rs
the sale price of the bicycle is 2640 Rs
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
angle B is 33 degree
Step-by-step explanation:
let angle A be x and angle D also be x.(because the base angles of ann isosceles triangles are equal)
x+x+48=180 degree(sum of interior angles of a triangle)
2x=180-48
x=132/2
x=66
therefore angle A and Angle D is 66 degree
angle A + angle C=exterior angle D (sum of two interior opposite angles are equal to the exterior angle formed)
66+48=exterior angle D
114 = exterior angle D
In triangle DCB
let angle C be y and Angle B also be y(bases angles of an isosceles triangle are equal)
y+y+114=180 degree(sum of interior angles of a triangle )
2y=180-114
y=66/3=2
y=33 degree
therefore angle B is 33 degree
what is the measure of angle A
Answer:
a = 53
Step-by-step explanation:
Start with d
The ends of d + 53 are diameter ends. That means that d + 53 is a right angle
d + 53 = 90
d = 90 - 53
d = 37
Next, find b. The end points of b are the same end points as for 53 degrees. B is the central angle of 53 which means b = 2 * 53
b = 106
c is the supplement of b
c + b = 180
b = 106
c + 106 = 180
c = 180 - 106
c = 74
The triangle containing a and c is isosceles because 2 of the 3 angles are opposite radii. The lowest angle is also a because it is opposite one of the radii.
a + a + 74 = 180
2a = 180 - 74
2a = 106
a = 106/2
a = 53
Hard to believe, but there it is.
From a spot 25 m from the base of the Peace Tower in Ottawa, the angle of elevation to the top of the flagpole is 76⁰. How tall, to the nearest metre, is the Peace Tower, including the flagpole? a) 24m b) 100m c) 6m d) 50m
Answer:
b) 100m
Step-by-step explanation:
tan(angle) = opposite/adjacent
tan(76) = height/25
4.01078093 = height/25
height = 25(4.01078093) = 100.23 or 100