Answers
Answer:
-23
Step-by-step explanation:
when calculating:
always do the square root and power first, then parentheses have an advantage before everything else. after that you multiply/divide. only after that do you add/subtract. So, order of operations:
1. sqr roots/power (if necessary)
2. parentheses
3. multiplication/division
4. addition/subtraction
if the power of a negative number is even, the number becomes positive. if the power is odd, the number remains negative. (when you multiply - by - you get +)
(-2)⁴=(-2)(-2)(-2)(-2)=(+4)(+4)=16
here, the number of minuses is even. for every minus, there's another one to multiply it by.
(-2)³=(-2)(-2)(-2)=(+4)(-2)=-8
here, there's an odd number of minuses, so if we put them in pairs, there's one left alone, which makes the number negative. (multiply - by + you get -)
What about -x³?
well, as I said (-x)² is a positive number, because you multiply a negative by a negative. x² itself is positive, but then we add the minus in front, which makes it negative. basically, the minus isnt part of the number with a power unless it's inside parentheses. the operation looks something like this:
-(x)³=
-(2³)=
-(8)=
-8
hope this helps, I'm not the best at explaining :)
Related Questions
Mrs Smith walks a half a mile a day after work. She works five days a week. How many yards will she have walked for the week by Friday morning?
Answers
The distance Mrs. Smith covers is 3520 yards during the duration of the week by Friday morning.
One week has seven days in total.
Mrs. Smith walks half a mile each day after work, she walks a total of
0.5 miles/ day × 7 days/ week = 3.5 miles/ week
Now, if we calculate the distance on Friday morning, she must have walked four times till Friday morning since she has to walk after her work.
Therefore,
0.5 miles/ day × 4 days = 2 miles
To convert miles to yards, we can use the fact that there are 1760 yards in one mile:
2 miles/week × 1760 yards/mile = 3520 yards/week
Therefore, by Friday morning, Mrs. Smith will have walked 3520 yards.
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Your budget is to spend no more than $450 on frozen treats. enter an inequality to represent the number of chocolate fudge bars, c, the number of ice-cream sandwiches, i, and the number of frozen fruit bars, f, that will cost you no more than $450.
Answers
The inequality to represent the budget constraint for spending no more than $450 on frozen treats can be written as:
4.50c + 2.00i + 1.50f ≤ 450
In this inequality, c represents the number of chocolate fudge bars, i represents the number of ice-cream sandwiches, and f represents the number of frozen fruit bars.
The left-hand side of the inequality represents the total cost of the frozen treats, where each item has a specific cost per unit. By multiplying the respective costs by the of each item and summing them up, we ensure that the total cost does not exceed $450.
Therefore, any combination of quantities (c, i, f) that satisfies the inequality will keep the total cost within the budget constraint.
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A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery
Answers
Answer:
The power is 1.68 W.
Step-by-step explanation:
Voltage, V = 3 V
charge, q = 0.56 C
time, t = 1 s
The power is given by
P = V q/t
P = 3 x 0.56 / 1
P = 1.68 W
Let L : R^2 → R^3 with (x,y) → (x,y,x^2 + y^2)
Let P be a set of points in general position in the plane, and let
L (P) the set of image points of P under the mapping L .
Assertion:
The convex hull CH (L P)) of the
image points of P in R^3 contains at least as many edges as any triangulation of P in the plane.
Is this true?
Justify your answer.
Answers
The assertion is true stating that the convex hull CH (L P)) of the image points of P in R^3 contains at least as many edges as any triangulation of P in the plane.
To prove this, we will use the following lemma:
Lemma: Let S be a set of points in the plane, and let T be the set of image points of S under the mapping L. If three points in S are not collinear, then the corresponding image points in T are not coplanar.
Proof of Lemma: Suppose that three points p1, p2, and p3 in S are not collinear. Then their images under L are (x1, y1, z1), (x2, y2, z2), and (x3, y3, z3), respectively. Suppose for contradiction that these three points are coplanar.
Then there exist constants a, b, and c such that ax1 + by1 + cz1 = ax2 + by2 + cz2 = ax3 + by3 + cz3. Subtracting the second equation from the first yields a(x1 - x2) + b(y1 - y2) + c(z1 - z2) = 0. Similarly, subtracting the third equation from the first yields a(x1 - x3) + b(y1 - y3) + c(z1 - z3) = 0.
Multiplying the first equation by z1 - z3 and subtracting it from the second equation multiplied by z1 - z2 yields a(x2 - x3) + b(y2 - y3) = 0. Since p1, p2, and p3 are not collinear, it follows that x2 - x3 ≠ 0 or y2 - y3 ≠ 0.
Therefore, we can solve for a and b to obtain a unique solution (up to scaling) for any choice of x2, y2, z2, x3, y3, and z3. This implies that the points in T are not coplanar, which completes the proof of the lemma.
Now, let P be a set of points in general position in the plane, and let T be the set of image points of P under L. Let CH(P) be the convex hull of P in the plane, and let CH(T) be the convex hull of T in R^3. We will show that CH(T) contains at least as many edges as any triangulation of P in the plane.
Let T' be a subset of T that corresponds to a triangulation of P in the plane. By the lemma, the points in T' are not coplanar. Therefore, CH(T') is a polyhedron with triangular faces. Let E be the set of edges of CH(T').
For each edge e in E, let p1 and p2 be the corresponding points in P that define e. Since P is in general position, there exists a unique plane containing p1, p2, and some other point p3 ∈ P that is not collinear with p1 and p2. Let t1, t2, and t3 be the corresponding image points in T. By the lemma, t1, t2, and t3 are not coplanar. Therefore, there exists a unique plane containing t1, t2, and some other point t4 ∈ T that is not coplanar with t1, t2, and t3. Let e' be the edge of CH(T) that corresponds to this plane.
We claim that every edge e' in CH(T) corresponds to an edge e in E. To see this, suppose for contradiction that e' corresponds to a face F of CH(T'). Then F is a triangle with vertices t1', t2', and t3', say. By the lemma, there exist points p1', p2', and p3' in P such that L(p1') = t1', L(p2') = t2', and L(p3') = t3'.
Since P is in general position, there exists a unique plane containing p1', p2', and p3'. But this plane must also contain some other point p4 ∈ P, which contradicts the fact that F is a triangle. Therefore, e' corresponds to an edge e in E.
Since every edge e' in CH(T) corresponds to an edge e in E, it follows that CH(T) contains at least as many edges as any triangulation of P in the plane. This completes the proof of the assertion.
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escribe en cada fila dos divisiones que den el cociente o resultado que se te indica en la primera columna matemáticas con foto
Answers
Answer:
I don't know what you said
Step-by-step explanation:
But thanks for the points.
Use the confidence interval to find the margin of error and the sample mean.
(0.542,0.680)
Question content area bottom
Part 1
The margin of error is
enter your response here.
Part 2
The sample mean is
enter your response here.
Answers
The margin of error is 0.069, The sample mean is 0.611.
Part 1: To find the margin of error, we need to know the confidence level and the sample size. Assuming a 95% confidence level and an unknown sample size, we can use the formula:
Margin of error = (upper limit - lower limit) / 2 * z
where z is the z-score for the desired confidence level, which is 1.96 for a 95% confidence level.
Margin of error = (0.680 - 0.542) / 2 * 1.96
Margin of error = 0.069
Therefore, the margin of error is 0.069.
Part 2:
The sample mean is the midpoint of the confidence interval, which is the average of the upper and lower limits:
Sample mean = (upper limit + lower limit) / 2
Sample mean = (0.680 + 0.542) / 2
Sample mean = 0.611
Therefore, the sample mean is 0.611.
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what is 35 percent of 135
Answers
Answer:
it is 47.25 I think :] I'm not the best at that kind of stuff but I think that's the answer
(3x - 3y = -4
(x - y = -3
Answers
Graphically these two equations represent parallel lines that do not intersect.
To find the solution to the system of equations:
3x - 3y = -4
x - y = -3
We can solve this system by using the method of substitution or elimination.
Let's use the method of substitution.
From equation 2), we can express x in terms of y:
x = y - 3
Now substitute this expression for x in equation 1):
3(y - 3) - 3y = -4
Simplifying the equation:
3y - 9 - 3y = -4
-9 = -4
Since -9 does not equal -4, this system of equations is inconsistent, meaning there is no solution that satisfies both equations simultaneously.
There is no common point that satisfies both equations, resulting in an inconsistent system.
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Suppose you place your eye just above the edge of the pool, looking along the direction of the meter stick. What angle do you observe between the two ends of ...
Answers
The angle you would observe between the two ends of the meter stick if the pool is Part A empty is 18.92 degrees.
To determine the angle you observe between the two ends of the horizontal meter stick when the pool is empty, you can use the concept of similar triangles. The meter stick is 1.0 meter long and is centered at the bottom of the pool, so each half is 0.5 meters. The pool is 3.0 meters deep and 3.0 meters wide.
To find the angle, you can use the tangent function:
tan(θ) = opposite / adjacent
In this case, the opposite side is the half-length of the meter stick (0.5 meters), and the adjacent side is the depth of the pool (3.0 meters). So,
tan(θ) = 0.5 / 3.0
Now, to find the angle, use the inverse tangent function (arctan):
θ = arctan(0.5 / 3.0)
θ ≈ 9.46 degrees
Since there are two equal angles formed by the meter stick (one on the left and one on the right), the total angle you observe between the two ends of the meter stick would be:
Total angle = 2 * 9.46 ≈ 18.92 degrees
So, when the pool is empty, you observe an angle of approximately 18.92 degrees between the two ends of the horizontal meter stick.
Note: The question is incomplete. The complete question probably is: A horizontal meter stick is centered at the bottom of a 3.0-m-deep, 3.0-m-wide pool. Suppose you place your eye just above the edge of the pool, looking along the direction of the meter stick. What angle do you observe between the two ends of the meter stick if the pool is Part A empty? Express your answer with the appropriate units.
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108 is one interior angle of a regular
Answers
Answer:
There are 108° in each interior angle of a regular pentagon. This process can be generalized into a formula for finding each interior angle of a REGULAR polygon Each interior angle of a “regular” polygon is given by where n = the number of sides in the polygon.
Step-by-step explanation:
What is a common denominator for 2/3 and 1/2?
Answers
Answer:
6 or 7/6
Step-by-step explanation:
they are both prime so 2*3=6
4/6+3/6=7/6
Answer:
21/31/6/2/34861/27651/7266163)
The accompanying data represent the weights (in grams) of a simple random sample of M&M plain candies. Determine the shape of the distribution of weights of M&Ms by drawing a frequency histogram. Find the mean and median. Which measure of central tendency better describes the weight of a plain M&M?
Answers
A simple random sample of M&M plain candies weights (in grams) is given by the accompanying data.
A frequency histogram should be used to determine the distribution of weights of M&Ms. The mean and median will be determined. Finally, the better measure of central tendency to describe the weight of a plain M&M will be determined.A histogram, which is a graphical representation of data distribution, is a helpful method to display the weights of M&M plain candies. In a histogram, the frequency of occurrences of observations falling within a given category is depicted on the vertical axis, and the categories are listed on the horizontal axis.The shape of the distribution of weights of M&Ms will be determined from the histogram. The mean and median of the M&M weights will be calculated. The best measure of central tendency that describes the weight of an M&M will be determined by comparing the mean and the median.
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You can work a maximum of 40 hours a week. You need to make $440 in order to cover your expenses. Your office job pays $12 an hour and your babysitting job pays $10 an hour. What is the least possible number of hours you can work at your office job and still meet the requirements?
Answers
Answer:
The least possible number of hours you can work at your office job is 20.
Step-by-step explanation:
$12/h ----> office
$10/h ----> babysitting
"o" -----> hours office job
"b" -----> hours babysitting job
\(12x + 10y = 440\\x + y \leq 40\\12x + 10y = 440 -----> 6x + 5y = 220 ----> y = \frac{220-6x}{5} \\\\x + y \leq 40\\x + \frac{220-6x}{5} \leq 40\\5x + 220 - 6x \leq 200\\x \geq 20\)
what is the distribution of the random variable the sample mean of a simple random sample of size 15 drawn from the population described above?
Answers
The population and may need to be approximated using other methods such as t-distribution or bootstrapping.
What is frequency distribution?Population is a group of individuals of the same species living in the same area at the same time. It is a term used in biology, sociology and other fields of study.
Without knowing the specific characteristics of the population, it is difficult to determine the exact distribution of the sample mean of a simple random sample of size 15 drawn from that population.
However, if the population is approximately normally distributed or if the sample size is large enough (usually considered to be n > 30), the sample mean will follow a normal distribution. This is known as the Central Limit Theorem.
Hence, If the population is not normally distributed and the sample size is small, the distribution of the sample mean will depend on the specific characteristics of the population and may need to be approximated using other methods such as the t-distribution or bootstrapping.
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Does anyone know about this
Answers
Answer:
11.0
Step-by-step explanation:
Using Pythagoras' identity in the lower right triangle.
let the hypotenuse be x , then
x² = 4² + 9² = 16 + 81 = 97
Within the rectangle, use Pythagoras' identity in the lower right triangle.
let y be the dotted line , then
y² = x² + 5² = 97 + 25 = 122 ( take the square root of both sides )
y = \(\sqrt{122}\) ≈ 11.0 ( to the nearest tenth )
The dotted line is approximately 11.0 units
Can u please help me with this. I’ll make brainliest
Answers
Answer:
number
Step-by-step explanation:
number than number lol sorry i dont know i wish i could help you
Find the limit a-bx^4/cx^4+x^2
Answers
Look at this image for answer.
ILL MARK AS BRAINLESS PLS HELP
Answers
Answer:
5765/574
Step-by-step explanation:
there u go lol
Your mom has sent you to buy a new suit, and will let you get new shoes too if you keep it under $200. The suit you want to buy is $230. If you are getting 20% off the price, will you get the shoes?
Not enough information.
The cost will be exactly $200.
No, the suit will cost more than $200.
Yes, the suit will cost less than $200.
Answers
Answer: The answer is Yes, The suit will cost less than $200
Step-by-step explanation:
I took the text/quiz and this is the right answer
what i did .20*230=46
then i took 446 and subtracted it from $230 and thats clearly less than $200
1, 9, 81, 729, ... what is the sequence to this
Answers
multiply by 9
1 ×9 = 9
9×9 = 81
81 ×9 = 729
Answer:
each time, you multiply the number by 9
Step-by-step explanation:
1x9=9
9x9=81
81×9=729
If you wanted to know the next number in the sequence, just multiply 729 by 9 which equals 6561.
hope this helps.
total u.s. land area is 3.537 million square miles. what percentage of u.s. land is national park system land ?
Answers
The percentage of u.s. land is national park system land is approximately 41.8%
PercentageConvert acres to square miles
945,000,000 acres = 1476562.5 square milesPercentage of u.s. land is national park system land = national park system land / Total U.S. land area × 100
= 1476562.5 square miles / 3,537,000 square miles × 100
= 0.417461832061068 × 100
= 41.74618320610687%
Approximately,
41.8%
Therefore, the percentage of u.s. land is national park system land is approximately 41.8%
Complete question:
Total U.S. land area is 3.537 million square miles. Total U.S. national park system land occupies 954 million acres. What percentage of U.S. national park system land?
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An account with an initial balance of $1250 earns interest that is compounded quarterly. If no other deposits or withdrawals are made, the
account will have a balance of $1406.08 after 9 months. Find the annual interest rate.
Answers
Answer:
If no other deposits or withdrawals are made, the account will have a balance of $1406.08 after 9 months. Find the annual interest rate. Expert Answer.
1 answer
·
Top answer:
Given that P=1,250A=1,406.08n=9 month
Step-by-step explanation:
What value of x makes this proportion true?
X4
OA. 6
OB. 20
OC. 9
OD. 5
Answers
The value of x is 5 which is option (D) .
A ratio is a mathematical comparison of two numbers. If two given sets of numbers increase or decrease in the same proportion, the proportions are said to be directly proportional to each other.Ratios are indicated by the symbols '::' or '='. Two ratios are said to be proportional if they are equal.For example, the time it takes for a train to travel 50 km/h is equal to the time it takes to travel a distance of 250 km in 5 hours.
It is given that 25/20 = x/4
On simplifying , we get
\(\frac{25}{20} =\frac{x}{4} \\\\x=\frac{25\times4}{20} \\\\x=\frac{100}{20} \\\\x=5\)
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The complete question is mention below :
What value of x makes this proportion true? 25/20 = x/4
A.6
B.20
C.9
D.5
Help me with this one write the number represent ed using the value numbers 3 80 7 30 200,000 3,000 50?
Answers
Using the given value numbers, we can represent the number as 203,167.
To represent the given number using the value numbers 3, 80, 7, 30, 200,000, 3,000, and 50, we need to understand the place value system. In this system, each digit's position determines its value relative to the other digits in the number.
Let's break down the given value numbers:
3 represents the digit 3.
80 represents the digit 8 in the tens place and 0 in the ones place.
7 represents the digit 7.
30 represents the digit 3 in the tens place and 0 in the ones place.
200,000 represents the digit 2 in the hundred thousands place and all other digits as zeros.
3,000 represents the digit 3 in the thousands place and all other digits as zeros.
50 represents the digit 5 in the tens place and 0 in the ones place.
Now let's combine these value numbers to form a single number:
(200,000) + (3,000) + (80) + (30) + (7) + (50)
To simplify this expression, we can add up each component:
200,000 + 3,000 + 80 + 30 + 7 + 50 = 203,167
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Check Your Understanding- Question 3 of 3
Find the missing side length of the right triangle. √39
Substitute the length of a leg and the hypotenuse as
To evaluate (√39)2, multiply: √39 √39 =
39
62=
b=
39
+ b² =
?
8
Attempt 1 of 2
(√39)2 +6² = 82
Answers
The hypothenuse in the triangle when the sides that are given are ✓39 and 6 is 8.6.
How to calculate the value of the side?It should be noted that a triangle has three sides and the longest side is the hypothenuse. Based on the information given, it can be seen that we have two sides that we given in the question already.
In this case, the sides that are given are ✓39 and 6 and we wat to find the hypothenuse. This will go thus;
Hypothenuse ² = (✓39)² + 6²
Hypothenuse ² = 39 + 36
Hypothenuse ² = 75
Hypothenuse = ✓75
Hypothenuse = 8.6
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suppose that $8000 is placed in an account that pays 7% interest compounded each year. assume that no withdrawals are made from the account. follow the instructions below. do not do any rounding.
(a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years.
Answers
To calculate the amount in the account at the end of 1 year, we can use the formula A=P(1+r)^n, where A is the amount, P is the principal (initial amount), r is the interest rate, and n is the number of years.
Plugging in the given values, we have A=8000(1+0.07)^1 = 8560. Therefore, the amount in the account at the end of 1 year is $8560.
To calculate the amount in the account at the end of 2 years, we can again use the same formula A=P(1+r)^n. However, since the interest is compounded annually, we need to use n=2. Plugging in the values, we have A=8000(1+0.07)^2 = 9184.32. Therefore, the amount in the account at the end of 2 years is $9184.32.
In summary, the amount in the account at the end of 1 year is $8560, and the amount in the account at the end of 2 years is $9184.32. These calculations assume that no withdrawals are made from the account and that the interest is compounded annually at a rate of 7%.
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An initial population of 460 quail increases at an annual rate of 21%. Write an exponential function
to model the quail population. What will the approximate population be after 3 years?
Answers
Answer:
the expected population after 3 years is 863.7009
Step-by-step explanation:
The computation of the expected population after 3 years is shown below
P = P_0 × e^rt
where,
r = 21% = 0.21
t = 3 years
P_0 = 460
Now place these values to the above formula
P = 460 × exp(0.21 × 3)
= 863.7009
hence, the expected population after 3 years is 863.7009
We simply applied the above formula so that the correct value could come
And, the same is to be considered
In order to keep the numbers in the proper place-value column
Answers
The order of the place value in increasing order is equal to units , tens , hundreds , thousands , ten-thousand and so on.
The value of every digit present in any number depends on the position of the digit in a number.The place of the digit in the number represents its place value of the digit in a number.Starting position of a digit is ones or units.After unit the place value is tens.In ascending order the place value of all the digit in any given number is represented as units , tens , hundreds , thousands , ten- thousands, so on.Therefore, the order of the place value in ascending order of the place of the digit is given by units , tens , hundreds , thousands , ten-thousand and so on.
The given question is incomplete, I answer the question in general according to my knowledge:
What is the order of the place value ?
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a medical devices company wants to know the number of hours its mri machines are used per day. a previous study found a standard deviation of four hours. how many mri machines must the company find data for in order to have a margin of error of at most 0.20 hour when calculating a 98% confidence interval?
Answers
The medical devices company must find data for at least 543 MRI machines.
How to calculate the number MRI machines?To calculate the number of MRI machines needed for a 98% confidence interval with a margin of error of 0.20 hour, we need to use the formula:
n = [(z*σ)/E]²
where:
n is the sample sizez is the z-score for the desired confidence level (98% = 2.33)σ is the standard deviation (4 hours)E is the margin of error (0.20 hour)Substituting the values:
n = [(2.33*4)/0.20]²
n = 542.89
Rounding up to the nearest whole number, the medical devices company must find data for at least 543 MRI machines to have a margin of error of at most 0.20 hour when calculating a 98% confidence interval.
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please help me!! this is due already and late
Answers
2.) A . None
Answer:
C. Minimum value = 1/11, maximum value = √17E. Minimum value = -5, maximum value = -4Step-by-step explanation:
Question 1c(x) = √xThe domain is:
1/121 ≤ x ≤ 17The range is:
√1/121 ≤ √x ≤ √171/11 ≤ √x ≤ √17Correct choice is C
Minimum value = 1/11, maximum value = √17Question 2d(x) = ∛xThe domain is:
{x | x∈R, -125 ≤ x ≤ -64}The range is:
∛-125 ≤ ∛x ≤ ∛-64-5 ≤ ∛x ≤ -4Correct choice is E
Minimum value = -5, maximum value = -4