Jan says that if you double each of the dimensions of a rectangular box, it will take twice as much wrapping paper to wrap it. How do you respond to her?
Answers
The best response to Jan would be that her statement on the dimensions of a rectangular box is false.
Why is Jan false ?When you double the size of a rectangular box, the surface area grows by a factor of four, not two.
This may be shown using a hypothetical rectangular box with length (L), width (W), and height (H) measurements. The box's surface area (SA) may be computed as follows:
SA = 2(LW + LH + WH)
When doubled :
SA' = 2( (2L)(2W) + (2L)(2H) + (2W)(2H) )
SA' = 2( 4LW + 4LH + 4WH )
SA' = 8(LW + LH + WH)
SA' = 4 × SA
This demonstrates that the surface area grows by 4, requiring four times the amount of wrapping paper.
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Related Questions
Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Answers
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
Multiplying and dividing fractions test
Answers
Answer:
ividing fractions test
Step-by-step explanation:
Answer:
dividing test
Step-by-step explanation:
Solve the following system of equations. 4x + 3y = -5
- 3x + 7y=13
Answers
Answer: 13
Step-by-step explanation:
4x+3y=-5 solve x :
4x = -3y + -5 | -3y
1x = -0.75y + -1.25 | : 4
-3x + 7y = 13 solve x :
-3x + 7y = 13 | -7y
-3x = -7y = 13 | : (-3)
Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333
-0, 75y - 1,25 = 2,333y - 4, 333 solve y:
-0, 75y - 1,25 = 2,333y -4, 333 | -2,333y
-3, 083y - 1,25 = -4,333 | + 1, 25
-3. 083y = -3,088 | : (-3, 083)
y = 1
Plug y = 1 into the equation 4x + 3y = -5 :
4x + 3 · 1 | Multiply 3 with 1
4x + 3 = -5 | -3
4x = -8 | : 4
x = -2
So the solution is:
y = 1, x = -2
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solve -6 < 10 - 4x greater equal 18 SHOW WORK AND STEPS CLEARLY PLS I AM GIVEING BRAINLIEST
Answers
Answer:
x<=-2
Step-by-step explanation:
-6<10-4x>=18
subtract 10
-16<-4x>=18
Divide by -4
x<=-2
Hope this helps
-Scorpio
\(\\ \sf\longmapsto -6<10-4x\geqslant 18\)
\(\\ \sf\longmapsto -6-10>-4x\geqslant 18\)
\(\\ \sf\longmapsto -16>-4x\geqslant 18\)
\(\\ \sf\longmapsto 4>x\geqslant 18\)
Benjamin has $400, and makes $50 per week. Bill has $800 and spends $25 every week. What week will they have the same amount of money, and how
much money will that be?
Answers
Answer:
They won't
Step-by-step explanation:
Benjamin makes 50 per week, and Bill spends 25 per week, here's a table with each week for 10 weeks.
Ben 400, Bill 800Ben 450, Bill 775Ben 500, Bill 750Ben 550, Bill 725Ben 600, Bill 700Ben 650, Bill 675Ben 700, Bill 650Ben 750, Bill 625Ben 800, Bill 600Ben 850, Bill 575Identify the explanatory variable and the response variableA golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.The explanatory variable is the _____The response variable is the _____
Answers
Answer:
the explanatory variable is "the amount of practice every year" while the response variable is "the improvement in his game"
Step-by-step explanation:
In simple terms, the difference between explanatory and random variable is that the response variable is usually the focus of a question in a study/experiment while an explanatory variable is a variable that explains changes in the response variable. Which means that the explanatory variable is simply any variable that may affect the response variable.
Now, in this question, the golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.
This means that the amount of practice every year explains how much he improves every year.
Thus, the explanatory variable is "the amount of practice every year" while the response variable is "improvement in his game"
Find the vertical asymptotes (VA), removable discontinuities (RD),
horizontal (HA) or slant asymptote (SA) and intercepets (Int)
x2-10x+9
for graph of the rational function
x²-9x
Answers
Therefore , the solution to the given problem of function comes out to be slant asymptotes are y = x -4.
What does the term function mean?Numbers and their variants, equations & related structures, and geometry and their regions and potential applications are all mathematical topics. The link between a group of input, each of which generates a related output, is referred to as a "function." A function is a relationship between outputs and inputs where each input results in a single, distinct output. Each procedure has a domain and a city / municipality, which are frequently referred to as a scope. Functions are usually represented by the letter f. (x). The input is X. On activity, one-to-one activities, many-to-one activities, throughout operations, as well as on functions are the four main categories of supplied functions.
Here,
There are no limitations on the type of rational function, therefore it is feasible to construct one with each of the three asymptotes.
This is depicted in the attached graph, along with the graph of the rational function it represents. These are the asymptotes of the function.
Vertical asymptotes are x = -4,
horizontal asymptotes are y = 0 and
slant asymptotes are y = x -4.
Additional remarks
We employ an exponential function in our example function. Although it can be expressed as a polynomial of infinite degree, that is not often regarded as a polynomial. The proportion of polynomials is how most authors describe a rational function.
Therefore , the solution to the given problem of function comes out to be slant asymptotes are y = x -4.
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identify the sample space of rolling two six sided die at the same time
Answers
Answer:
The sample space of rolling two six-sided dice at the same time consists of all possible outcomes of the two dice. Each die can show any number from 1 to 6, so the sample space contains 6 x 6 = 36 possible outcomes.
Each outcome is represented by an ordered pair (a,b) where a and b are integers from 1 to 6 representing the numbers shown on each die, respectively. For example, (1,1), (1,2), (1,3),......., (6,5), (6,6) are all possible outcomes in the sample space.
Suppose a city with population 800,000 has been growing at a rate of 8% per year. If this rate continues, find the population of this city in 16 years.
Answers
Answer:
2,740,754.11467 or 2,740,754
Step-by-step explanation:
800,000(1.08)^16
y=a(b)^x
a is the starting point
b is growth
x is years
you get the growth by adding 8 to 100 then dividing by 100.
Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Answers
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
According to the problem, we know that:
3(4 + x) < 7x
Simplifying:
12 + 3x < 7x
Subtracting 3x from both sides:
12 < 4x
Dividing both sides by 4:
3 < x
So the number we're looking for must be greater than 3.
If f(x)=5^x+2x and g(x)=3x-6
find (f+g)(x)
Answers
Answer:
(f+g)(x) = 5^x+5x-6
Step-by-step explanation:
f(x)=5^x+2x
g(x)=3x-6
(f+g)(x) = 5^x+2x+3x-6
Combine like terms
(f+g)(x) = 5^x+5x-6
Bob dio cuatro quintos de sus lapices a barbara, luego dio dos tercios de los lapices restantes a bonnie, si termino con 10 lapices para el... ¿ cuantos lapices tenia bob al principio?
Answers
Bob had 50 pencils in the beginning.
How is a fractional number expressed?A fractional number is expressed in the form -
x/y {where y ≠ 0)
Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.
Assume that he had {x} pencils in the beginning. We can write -
4x/5 + 2/3(x - 4x/5) = 10
4x/5 + 2x/3 - 8x/15 = 10
x(4/5 + 2/3 - 8/15) = 10
x = 10/0.93
x = 50
Therefore, Bob had 50 pencils in the beginning.
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{QUESTION IN ENGLISH -
Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}
Calculate the slope of the line that contains the points: (2, -3) and (6, -3)
Answers
Answer:
\(\displaystyle m = 0\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)Step-by-step explanation:
Step 1: Define
Identify
Point (2, -3)
Point (6, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m = \frac{-3- -3}{6- 2}\)[Fraction] Subtract: \(\displaystyle m = \frac{0}{4}\)[Fraction] Divide: \(\displaystyle m = 0\)What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6?
Answers
\(2(3x-1) \geq 4x-6\\\\\implies 6x -2 \geq 4x -6\\\\\implies 6x \geq 4x -6+2\\\\\implies 6x \geq 4x-4\\\\\implies 6x -4x \geq -4\\\\\implies 2x \geq -4\\\\\implies x \geq -\dfrac42\\\\\implies x \geq -2 \\\\\text{Interval,} ~ [-2, \infty)\)
Plz I rlly need help!!!!
Answers
Answer:
C. 20 C
I used an online converter or it is possible to Substitute F for 68 and then solve the equation
An experiment consists of rolling a single die and selecting a card from a standard deck. Use this information to answer the following three questions. What is the probability of rolling a 5 and selecting the ace of hearts
Answers
Answer:
1/160
Step-by-step explanation:
Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.
Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.
In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.
1/5 * 1/32 = 1/160
d) Suppose you begin making a monthly payment of $75.00. Fill in the table.
Month Current balance
1
2
3
4
5
6
7
8
9
10
11
12
WYPIE
$2750.00
Interest
$45.38
Payment
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
Amount applied to principal
$29.62
Answers
Answer:
Step-by-step explanation:
Answer:
For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.
For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.
Point of view:
Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!
:)
NEED HELP ASAP!!
Using Jefferson’s method
Answers
Using Jefferson’s method, the number of tutors to allocate to each subject is = 8,8,3,2 tutors to each of the subjects
What is Jefferson's method of allocation? Determine how many people each representative should represent. Do this by dividing the total tutors by subject total. This answer is called the standard divisor.Divide each subject by the divisor to determine how many tutors each subject gets. This answer is called the quota.Cut off all the decimal parts of all the quotasIf the total is less than the total number of tutors reduce the divisor and recalculate the quota and allocation.Subjects students enrolment tutors to assign Aprx tutors
Maths 355 8.4 8
English 325 7.7 8
Chem 135 3.2 3
Biology 75 1.8 2
Total 890 21
Total number of tutors to be allocated is = 21
Using ratios to divide we have
English = 355/890 * 21/1 = 8.476
Maths = 325/890 *21 = 7.668
chem = 135/890 * 21 = 3.185
Biology = 75/890 *21 = 1.76966
Approximate the total to get 8+8+3+2 = 21 tutors
the method division used here is ratio of number of students in each subject
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NO LINKS!! URGENT HELP!!
Calculate the perimeter of the following figures.
Answers
Answer:
Quadrilateral: 20.5 units
Triangle: 8.6 units
Step-by-step explanation:
Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.
Perimeter = AB + BC + CD + DA
where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.
In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).
Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:
\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)
\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)
\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)
\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)
Therefore, the perimeter of the quadrilateral is:
Perimeter = AB + BC + CD + DA
= \(4+5+2\sqrt5+7=20.5\) units
Triangle
The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:
Perimeter = AB + BC + CA
where AB, BC, and CA are the lengths of the three sides of the triangle.
In your case, the coordinates of the vertices of the triangle are
E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:
\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)
\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)
\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)
Therefore, the perimeter of the triangle is:
Perimeter = EF + FG + EG
= 4 + 1 + \(\sqrt{13}\)
=8.6 units
Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units
Discrete Mathematics
For each language L1 to L5, described below, you need to do the following:
• Create a regular expression that defines the language accurately.
The alphabet A = {a, b} will be used.
The languages are:
1. L1 which has exactly one a but any number of bs.
2. L2 which has an odd number of as and an even number of bs.
3. L3 which contains exactly two as or exactly two bs, although not necessarily adjacent.
4. L4 which has all the bs appearing before any of the as, or all the as appearing before any of the bs.
5. L5 where there can be any number of as but the number of bs must be even, although the bs do not have to be adjacent.
Answers
Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.
How to create regular expressions?A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages are:
L1, which has exactly one "a" but any number of "bs".
L2, which has an odd number of "as" and an even number of "bs".
L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.
L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".
L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.
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( p + 6 ) + ( 8p + 2 )
Answers
Answer:
9p+8
Step-by-step explanation:
p+8p= 9p
6+2= 8
9p+8
Answer:
Step-by-step explanation:
(p+6) + (8p+2)
(p+8p) + (6+2)
9p + 8
an exponential function is graphed on the gid. which function is best represented by the graph
a) g(x)=6(1/3)^x
b)g(x)=6(3)^x
c) g(x)=6-(1/3)^x
d) g(x)=6-(3)^x
Answers
what is question 4????
Answers
Answer:
2.2
Step-by-step explanation:
(1.85 x 2) - 1.50
...............
What type of sequence is this? (2, 4, 8, 16, 32)
Answers
Answer: A factor of 2 between each number
Step-by-step explanation: 2 (*2), 4 (*2), 8, and so on...
Answer:
Geometric sequence
Step-by-step explanation:
In a geometric sequence you must multiply by a common ratio to get from one term to the next.
To get from 2 to 4, multiply by 2.
To get from 4 to 8, multiply by 2, and so on.
This means that the common ratio is 2
In the table, x and y are in a proportional relationship. у 3 -5.4 5 -9.0 9 -16.2 12 -21.6 Let x be the independent variable. What is the value of the constant of proportionality? А -1.8 B -1.4 C 1.4 D 1.8
Answers
Answer:
A. -1.8
Step-by-step explanation:
If x is the independent variable and y is the dependent variable, therefore constant of proportionality would be:
k = y/x
Using any pair of values from the table, we can find k. Let's use (3, -5.4):
k = y/x = -5.4/3
k = -1.8
A fast food restaurant was selling 7 boxes of chicken nuggets for $25.90.
A competing restaurant was selling 3 boxes of chicken fingers for $11.07.
Which food has a higher unit price?
Answers
Given the table of candy distributions below, find P(Not green), the probability
of selecting anything but a green candy at random from a large bag.
Above or below is the list of possible answers
Answers
Answer:
C
Step-by-step explanation:
Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property.
12 + 18
Answers
Answer:
GCF = 6
The original sum rewrites to 6(2+3)
=================================================
Explanation:
Notice we have these factorizations
12 = 6*2
18 = 6*3
Which shows that 6 is the greatest common factor (GCF)
So,
12+18 = 6*2+6*3 = 6*(2+3)
We use the distributive property which is a(b+c) = ab + ac
I'll leave the 2+3 part un-simplified so that you can see the two original pieces, and how the 6 can multiply with them both to get back to 12+18 again.
Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103
Answers
Answer:
3.99 10-6
Step-by-step explanation:
This is simply the answer because if you multiply them all out this equation is the smallest number
Answer:
3.99*10^-6
Step-by-step explanation:
Anything taken to a negative power is going to be smaller than the original number because x^-y=1/(x^y). So since 3.99*10^-6 is smaller than 4.4*10^-5, the former is the answer.
mona bought a camera for Rs 1300 and sold it at 15 percent at what price should she sell it tell?
Answers
Answer:
Rs.1495
Step-by-step explanation:
15%=1300*15/100
=Rs.195
Selling price=1300+195
=Rs.1495
Answer:
Rs 195
Step-by-step explanation:
Working out 15% of 1300
Write 15% as
15/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
15/100 of 1300 =
15/100 × 1300 = 195
Therefore, the answer is 195
If you use a calculator, simply enter 15÷100×1300 which will give you 195 as the answer.
15% of 1300 is 195