Helppppppp plsssssss
.
We know, for example, that (2+3)+5=2+(3+5) and 2 (3-5) = (2-3). 5. The
grouping with parentheses does not affect the value of the expression.
Is this true for exponents? That is, are the numbers 2(3³).
(23) equal? If not, which is
bigger? Which of the two would you choose as the meaning of the expression 2.3 writter
without parentheses?
Answers
Answer: No, the numbers 2(3³) and (23) are not equal.
2(3³) means 2 multiplied by 3 raised to the power of 3, which is equal to 2 times 27, or 54.
(23) means 2 raised to the power of 3, and then that result raised to the power of 2, which is equal to 8 raised to the power of 2, or 64.
So, (23) is bigger than 2(3³).
If we write 2.3 without parentheses, it could be interpreted in two different ways: as the product of 2 and 3, which is 6, or as the number 23. To avoid confusion, it's important to use parentheses or other grouping symbols to indicate the intended meaning of an expression.
Step-by-step explanation:
Related Questions
The city acquired more land next to the subdivision. If it decides to make each park 15.3 acres, how many additional acres would the parks occupy?
Answers
The additional acres that the parks occupy will be 33.75 acres.
How to calculate the word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this case, the additional acres that the parks occupy will be:
= (12.5 × 3) - 3.75
= 33.75 acres.
Note that the information is incomplete and the complete information is given below.
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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres
The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?
A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?
Answers
Answer: The Silo is 44 meters tall
Step-by-step explanation:
To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)
Evaluate the following expression,
5x [7+ (10-2) + 4)
Answers
Answer: 95x
Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)
Add 7 and 10.
5x(17-2+4)
Add 15 and 4.
5x multiped by 19
Multiply 19 by 5
95x
I came across a question in the pigeonhole principle that – Let S be a set of n integers. Show that there is a subset of S, the sum of whose elements is a multiple of n by pigeonhole.
How do I solve this question??
Answers
In this case the difference is a multiple of n and as you see the difference is still a sum of some integers subset from 1 to n
What is subset?
If every element of set A is also an element of set B, then set B is a superset of set A and set A is a subset of set B. A and B could be equal; if they are not, then A is a legitimate subset of B. Include refers to the property that one set is a subset of another.
Consider the set{a1,a1+a2,a1+a2+a3,...,a1+a2+...+an}You have a set of n elements .If all remainders in dividing by n, are different, one of the remainders is 0 and we are done .Otherwise two remainders are the same.
In this case the difference is a multiple of n and as you see the difference is still a sum of some integers from 1 to n However I think it would be natural to consider the set{0,a1,a1+a2,a1+a2+a3,…,a1+a2+⋯+an}of n+1 elements, so that there is only one case instead of two.
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Solve the puzzle and add the colors
Answers
Answer:
43
Step-by-step explanation:
Green: 9 - 2(-3) = 9 + 6 = 15
Red: -2(-3) + 4 = 6 + 4 = 10
Dark blue: 7x + 5 = 19
7x = 19 - 5 = 14
x = 14/7 = 2
Light blue: 6x + 3 = 21
6x = 21 - 3 = 18
x = 18/6 = 3
Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43
Emma says that Function A has a greater initial value. Is Emma correct? Justify your response.A. Yes, function A has an initial value of 2 and Function B has an initial value of 1. So, Function A has a greater initial value.B. Yes, function A has an initial value of -1 and Function B has an initial value of -2. So, Function A has a greater initial value.С. No, function A has an initial value of -2 and Function B has an initial value of 1. So, Function B has a greater initial value. D. No, function A has an initial value of 2 and Function B has an initial value of -1. So, Function B has a greater initial value.
Answers
We can see that the initial value for A is -2. And for B is 1, so the answer is C
Find the quartile,decile,percentile for the following dataset, consisting of the midterm percentage ratings of n=15 students in an Grade 10 Math course: 82.9, 84.2, 81.6, 64.3, 69.1, 64.2, 82.2, 63, 83.4, 63.4, 87, 84.6, 84.6, 75.3, 63.7.
Answers
Step-by-step explanation:
To find the quartile, decile, and percentile for the given dataset, we need to first organize the data in ascending order:
63.0, 63.4, 63.7, 64.2, 64.3, 69.1, 75.3, 81.6, 82.2, 82.9, 83.4, 84.2, 84.6, 84.6, 87.0
Now, we can use the following formulas to find the quartile, decile, and percentile:
Quartile: A quartile is a type of quantile that divides the dataset into four equal parts. To find the quartile, we can use the following formulas:
Q1 (first quartile): (n+1)/4th term
Q2 (second quartile or median): (n+1)/2nd term
Q3 (third quartile): 3(n+1)/4th term
Using the above formulas and the given data, we get:
Q1 = (15+1)/4 = 4th term = 64.3
Q2 = (15+1)/2 = 8th term = 81.6
Q3 = 3(15+1)/4 = 12th term = 84.2
Decile: A decile is a type of quantile that divides the dataset into ten equal parts. To find the decile, we can use the following formula:
D(n) = (n+1)/10th term, where n = 1, 2, ..., 9
Using the above formula and the given data, we get:
D1 = (15+1)/10 = 1.6th term = 63.4
D2 = 3.6th term = 64.2
D3 = 5.6th term = 69.1
D4 = 7.6th term = 81.6
D5 = 9.6th term = 82.9
D6 = 11.6th term = 84.2
D7 = 13.6th term = 84.6
D8 = 15.6th term = 87.0
During science class, groups measure out different volumes of vinegar. The line plot below shows the amount of vinegar used by 12 1212 groups, rounded to the nearest 1 2 mL 2 1 mLstart fraction, 1, divided by, 2, end fraction, start text, space, m, L, end text. 4 4 4 1 2 4 2 1 5 5 5 1 2 5 2 1 6 6 6 1 2 6 2 1 7 7 7 1 2 7 2 1 8 8 A line plot labeled 4 to 8 with tick marks every one-half unit labeled with a tick mark and number. Above tick mark four and one-half there is a column of two dots. Above tick mark 5 there is a column of three dots. Above tick mark six and one-half there is a column of two dots. Above tick mark 7, there is a column of two dots. Above tick mark seven and one-half, there is a column of three dots. What is the total amount of vinegar, in milliliters, used by the 3 33 groups that used the most? mL mL
Answers
Answer:
22 1/2
Step-by-step explanation:
Chemicals A and B react to form one of
two different compounds. When 1 mole of
Chemical A reacts with 1 mole of Chemical
B, the product is 1 mole of a compound with
a molar mass of 72 grams. When 2 moles of
Chemical A react with 3 moles of Chemical
B, the product is 1 mole of a compound with
a molar mass of 160 grams. What is the molar
mass, in grams, of Chemical A? (Note: The
product compound is the only compound
produced by the reaction.)
Answers
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3. 1/3*4/5 Please I need help please
Answers
Answer:
1/3 x 3/4 is equal to 1/4
Step-by-step explanation:
First multiply 1x3 and 3x4 which equals to 3/12
Next you do 3 divided by 3 and 12 divided by 3 which gets you the answer:
1/4
15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answers
Answer:
The answer is Ahope this helps
What are the points of the image of the line in Q4 after the dilation?
Answers
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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Find the centroid of the region lying between the graphs of the functions f(x)=x^4
and f(x)=√x over the interval [0,1].
xCM=
yCM=
Answers
The centroid of the region is
x CM =1/2 and
y CM=5/12.
What is centroid?
In mathematics the centroid, can be described as geometric center or center of figure, of a plane figure or solid figure. It is the arithmetic mean position of all the points in the surface of the figure.
The centroid of the area is given by the function f(x).
Given that f(x)= x⁴ and f(x)=√x. Here we take the convention for the 2nd function as g(x). i.e. g(x)= √x.
Now the formula for centroid is given by:
x*= \(\frac{1}{A} \int\limits^a_b {x(f(x)-g(x))} \, dx\) ---------(1)
and y*= \(\frac{1}{2A} \int\limits^a_b {(f(x)+g(x))(f(x)-g(x))} \, dx\)------------(2)
where A= \(\int\limits^a_b {(f(x)-g(x))} \, dx\)-------------(3)
Now f(x)-g(x)= x⁴ - √x
At first we will find the value of A.
A= ∫ (x⁴ - √x)dx
= ∫ x⁴ dx - ∫ √x dx
= x⁵/5 - (2/3) \(x^{3/2}\)
Taking limit from 0 to 1 we get,
A= (1/5)-(2/3)
= -7/15
Now x*= -15/7 ∫ x( x⁴ - √x)dx [ putting the values in (1)]
=-15/7 [∫ x⁵ dx - ∫ x √x dx]
= -15/7 [ x⁶/6 - (2/5)\(x^{5/2}\)]
Taking the limit from 0 to 1 we get,
x*= (-15/7)×(-7/30)
= 1/2
y*= -15/14∫(x⁴+√x)(x⁴-√x) dx [ putting the values in (2)]
= -15/14 ∫ (x⁸ - x)dx
= -15/14 [x⁹/9 - x²/2]
Taking limit from 0 to 1 we get,
y*= (-15/14)×(-7/18)
= 5/12
Hence the centroid is 1/2 and 5/12.
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three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answers
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
The question is asked in the attached file,. Kindly someone answer it in the best way.
Answers
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is?
Answers
The sum of expected marks is given as follows:
9375.
How to obtain the expected marks?Each question has four choices, hence the probability of choosing the correct choice is given as follows:
p = 1/4 = 0.25.
Then the expected number of correct answers is given as follows:
E(X) = 0.25 x 150
E(X) = 37.5.
Then the expected grade for a single student is given as follows:
37.5 - 0.25(150 - 37.5) = 9.375.
The expected sum for the 1000 students is then given as follows:
1000 x 9.375 = 9375.
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the area of a circle is 0.2826 square miles. what's is the circle's radius? use 3.14 for pi
Answers
help me please please
Answers
Answer:
40
Step-by-step explanation:
0.5 cup of sugar = 4 cups of ice cream
number of ½ cups -->5 divided by 0.5=10
5 cups of sugar = 4×10=40
Determine the largest power of 10 that is a factor of the following numbers (equivalently, the number of terminal 0's, using ordinary base 10 representation):(a) 50!.
(b) 1000!.
Answers
The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.
(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.
There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.
Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.
(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:
⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249
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The expression above can also be written in the form
So what is A =
Answers
Answer:
what is the expressio
Step-by-step explanation:
A jet travels 4648 miles against the wind in 8 hours and 5368 miles with the wind in the same amount of time. What is the rathe of the jet in still air and what is the rate of the wind?
Answers
Answer:
The rate of the jet in still air is 738 mph and the rate of the wind is 90 mph
Step-by-step explanation:
Check: (738+90)*6 = 648*6 = 3888 mike's against the wind
(738-90)*6 = 828*6 = 4968 miles with the wind
the first part of the problem asks them to calculate the work done on the gas when the gas goes from the initial state to the final state shown. here is part of their dialogue: nora: the gas is compressed because the volume decreases. that means that there is work done on the gas, and the work is positive. bob: ok. that's right because we're using the first law with q w. we need to use that area thing to find the work. nora: yeah. we want the area under the line between the dots. bob: that line shows the process, right? nora: yup, that's the one. so the area is one-half times base times height. it's the area of that triangle. bob: but you have to add the area of that skinny rectangle below it, don't you? nora: i don't think so. that bottom dot for the final state tells you where the bottom of the area is. bob: why don't we ever agree? tell you what. we'll each try our own way and let webassign tell us who's right. nora: hmmm... i hope i get the big, green check mark!
Answers
To determine how much effort the gas undergoes as it changes from its original condition to its final one, Nora and Bob utilize the area underneath the line separating the two states and the first rule of thermodynamics.
When a gas changes from its initial condition to its final state, Nora and Bob explain how to compute the work that is done. They talk about compressing gas, thus something is being done to the gas.
You suggest using the area under the line separating the final and initial states to calculate the work done as well as the application of the first equation of thermodynamics, q=w.
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The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?
A. $15
B. $30
C. $40
D. $55
Answers
The possible price for the items if the store sells $600 is (c) $40
How to determine the possible price for the items?From the question, we have the following parameters that can be used in our computation:
The supply-demand graph
If the store sells $600, then there is a supply worth of $600
The equation of the supply line is calculated as
y = mx + c
Where
c = y = 0
i.e. c = 100
So, we have
y = mx + 100
Using another point on the graph, we have
30m + 10 = 400
So, we have
m = 13
This means that
y = 13x + 100
For a supply of 600, we have
13x + 100 = 600
So, we have
13x = 500
Divide by 13
x = 38.4
Approximate
x = 40
Hence, the possible price for the items is (c) $40
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Which is the graph of the function y = 2tan(x+3pi/4)?
Answers
Answer:
Slope: 2
Y-Intercept: (0 , 3pi/2)
Step-by-step explanation:
Answer:
It is D. on edg
Step-by-step explanation:
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answers
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
Car A is travelling east at a steady speed .......
Answers
Answer:
for 20 miles per hour
Step-by-step explanation:
.
I NEED ANSWER ASAP PLEASE WITH WORK PLEASE AND TY!!!!!! In the image the question is 32!! What is the factored form of x2 + 12x - 64?
A (x-4)(x + 16)
B. (x-2)(x + 32)
C. (x + 4)(x - 16)
D. (x-6)(x + 18)
Answers
Answer:
A) (x-4)(x+16)
Step-by-step explanation:
\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)
The side, s, of a square with area A square feet is given by the formula s = square root A. Find the perimeter of a square with an area of 36 square feet. ____________ ft
Answers
Answer:
24 ft
Step-by-step explanation:
Using the area formula
s = \(\sqrt{A}\)
when A = 36, then
s = \(\sqrt{36}\) = 6
perimeter of square = 4s = 4 × 6 = 24 ft
8. Given
A=
2 1 -3 1
-2 1 1 -3
1 -1 -3 4
3 3 -4 -4
V=[3]
[1]
[2]
[1]
Is the vector ve Nul A and v e Col A?
Answers
Answer:
-3,694
I am not sure what in the world the rest means, so I am very sorry. I just subtracted some stuff. I have no clue if that helped...
Covert, how many lb. If = 3,200 oz
Answers
Answer:
200 lbs.
Step-by-step explanation:
Divide mass value by 16 to convert oz to lbs.
3,200/16=200