Answer:
112 ≤ T ≤ 158
Step-by-step explanation:
We need to convert the celsius temperature to Fahrenheit first.
The formula to use is
F = (C * 9/5) + 32
For 50 degrees Celsius
F = (50 * 9/5) + 32
= 90 + 32 = 112 F
For 70 degrees Celsius
F = (70 * 9/5) + 32
= 158 F
So the compound inequality is written as follows;
112 ≤ T ≤ 158
Which of the following is not a subset of {1, 2, 3}?
{0}
{1, 2, 3}
Ø
Answer:
{0}
Step-by-step explanation:
{0} is not because 0 is not an element of set {1, 2, 3}
The null set is a subset of every set, so Ø is.
A set is a subset of itself.
Xavier fills a rectangular prism with 12-centimeter cubes. The base of the prism measures 5 centimeters by 3 centimeters, and the height of the prism is 6 centimeters.
Which statement is TRUE?
A: Xavier will use 90 cubes to fill the prism
B: Xavier will use 60 cubes on the bottom layer
C: It will take six layers of cubes to fill the prism
D: The prism will have a perimeter of 15 centimeters around the base
Answer:
I tried A.
Step-by-step explanation:
It's all like a fraction & multiplication type answer im if wrong correct me!
Answer:
i feel like it would be B
Step-by-step explanation:
Hopefully this helps!!!
(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT
Answer:
HN congruent to NL
Step-by-step explanation:
They have a line crossing both of them, signifiying congruence.
Which of the below is/are equivalent to the statement that a set of vectors (v1...., vp) is linearly independent? Suppose also that A = [V1 V2 ... Vp). A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero. B. The vector equation xıvı + X2V2 + ... + XpVp = 0 has only the trivial solution. C. There are weights, not all zero, that make the linear combination of vi. Vp the zero vector. D. The system with augmented matrix [A 0] has freuwariables. E The matrix equation Ax = 0 has only the trivial solution. F. All columns of the matrix A are pivot columns.
The statements that are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent are:
A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.
B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.
F. All columns of the matrix A are pivot columns.
Let's examine each option to see why they are equivalent:
A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.
This statement is equivalent to linear independence because it states that the only way for the linear combination of the vectors to equal the zero vector is if all the weights are zero. In other words, there are no nontrivial solutions to the equation c₁v₁ + c₂v₂ + ... + cₚvₚ = 0, where c₁, c₂, ..., cₚ are the weights.
B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.
This statement is also equivalent to linear independence because it states that the only solution to the equation is the trivial solution where all the variables x₁, x₂, ..., xₚ are zero. In other words, there are no nontrivial solutions to the homogeneous system of equations represented by the vector equation.
F. All columns of the matrix A are pivot columns.
This statement is equivalent to linear independence because it implies that every column of the matrix A is a pivot column, meaning that there are no free variables in the corresponding system of equations. This, in turn, implies that the only solution to the homogeneous system Ax = 0 is the trivial solution, making the set of vectors linearly independent.
The other options (C and E) are not equivalent to the statement that a set of vectors is linearly independent:
C. There are weights, not all zero, that make the linear combination of vi, ..., vp the zero vector.
This statement describes linear dependence rather than linear independence. If there are non-zero weights that result in the linear combination of the vectors equaling the zero vector, it means that the vectors are linearly dependent.
E. The matrix equation Ax = 0 has only the trivial solution.
This statement is related to the linear dependence of the columns of the matrix A rather than the linear independence of the vectors (v1, ..., vp). It refers to the homogeneous system of equations represented by the matrix equation and states that the only solution is the trivial solution, implying that the columns of A are linearly independent. However, it does not directly correspond to the linear independence of the original set of vectors.
In summary, the statements A, B, and F are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent.
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The amount of weight a truck can hold is limited to 1200 pounds. If you weigh 165 pounds and each brick weighs 3 pounds, how many bricks, b, can you
haul?
Answer:
max weight truck can hold = 1200 pounds
your weight. 165 pounds
1200 - 165
1035 pounds left
3 pounds --- 1 brick
1035 --- ?
1035 / 3
345 can haulYou can haul 345 bricks in the truck.
How many bricks, b, can you haul?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.
From the given information, we have:
The amount of weight a truck can hold is limited to 1200 pounds.
You weigh 165 pounds and each brick weighs 3 pounds.
Number of bricks you can haul, b.
Thus, we can say:
Your weight + (Weight of each brick * Number of bricks) ≤ Total weight capacity of the truck
165 + (3 * b) ≤ 1200
3b ≤ 1200 - 165
3b ≤ 1035
b ≤ 1035/3
b ≤ 345
Therefore, you can haul 345 bricks in the truck.
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What is y to the 7th power, then subtract 8 from the result
Answer: y^7 - 8
Step-by-step explanation:
It is an algebra equation. It can't be factor or solve further!
The function (x) = 0.42x + 50 represents the cost (in dollars) of a one-day truck rental when the truck is
driven x miles.
a. What is the truck rental cost when you drive 85 miles?
b. How many miles did you drive when your cost is $65.96?
a. The truck rental cost when you drive 85 miles is $85.7.
b. The number of miles driven when the cost is $65.96 is 0.42x.
a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.
f(x) = 0.42x + 50
Substituting x = 85:
f(85) = 0.42(85) + 50
= 35.7 + 50
= 85.7
Therefore, the truck rental cost when driving 85 miles is $85.70.
b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.
f(x) = 0.42x + 50
Substituting f(x) = 65.96:
65.96 = 0.42x + 50
Subtracting 50 from both sides:
65.96 - 50 = 0.42x
15.96 = 0.42x
To isolate x, we divide both sides by 0.42:
15.96 / 0.42 = x
38 = x
Therefore, the number of miles driven when the cost is $65.96 is 38 miles.
In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.
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What is the area of a circle if the diameter is 9cm?
Round to the nearest hundredth (0.01cm2)
Answer: A≈63.62
Step-by-step explanation:
9/2= 4.5
A=πr2=π·4.52≈63.61725
Answer:
To find the area of a circle we have \(\pir^{2}\) and the radius is half of the diameter so we have 4.5² which gives 16.25π
EOQ Model
Suppose during your college life, every year you need $5,000 cash to spend in addition to the studying expenses. Each time in need of cash, you decide to go to the bank for that. And the transportation costs you $5 (assumed amount) of going to the bank and coming back. Assume that the current saving/checking link account has an interest rate of 5%. Please find the optimal solution of the amount of cash each time for the withdraw.
The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.
The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:
Let's denote:
C = Annual cash need ($5,000)
T = Transportation cost per visit ($5)
r = Annual interest rate (5%)
To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.
Calculate the optimal order quantity (Q) using the EOQ formula:
Q = √((2 * C * T) / r)
Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.
The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.
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¿Qué pasa si el coeficiente del término cuadrático no es 1?
Answer:
NOT IN MY HOUSE SUNNY
Step-by-step explanation:
which equation is it
Which point is located on ray PQ−→−? A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints. point M point M point N point N point O point O point R
Answer:
R and S
Step-by-step explanation:
Given
See attachment for plot
Required
Point on ray PQ
A ray is a line with a starting point, and extends infinitely in the other direction.
So;
Ray PQ implies that.
P is the starting point, and it extends towards Q direction (however, it is endless).
Towards the direction of Q, we have points R and S.
This implies that R and S are on ray PQ.
1. (02.01 LC)
Simplify (4.5)(5)(-2).
Answer:
-45
Step-by-step explanation:
i took the test and it was right
Explain how to draw a tree diagram of outcomes for this situation: Julie went to visit her aunt and uncle for the weekend. She took the following clothes: two pairs of slacks – one brown, one black; three sweaters – one tan, one red and one white; two shirts – one white and one gray.
The total number of the outcomes will be 12. The table is shown below with all the outcomes.
What are sample?A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.
Julie went to visit her aunt and uncle for the weekend.
She took the following clothes:
two pairs of slacks – one brown, one black;
three sweaters – one tan, one red and one white;
two shirts – one white and one gray.
Then the total number of the outcomes will be
Total outcomes = 2 x 3 x 2
Total outcomes = 12
The table is shown below with all the outcomes.
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in a region where we have had big earthquakes (magnitude 7 and above) roughly every 200 years, what is the probability that we will not have a big earthquake in this region in the next two years?
There is a 0.990025 probability that this area won't experience a major earthquake in the next two years.
Define probability.In the field of mathematics called probability theory, random occurrences are studied. The outcome of a random event can take any number of distinct shapes, but it cannot be anticipated before it occurs. The outcome is believed to have been decided by chance.
Given,
In a region where large earthquakes of magnitude 7 or higher have occurred about once every 200 years,
First, the likelihood of an earthquake with a magnitude of 7 or higher is 1/200 = 0.005.
The likelihood of there not being an earthquake is then requested, and it is 1-0.005 = 0.995.
The likelihood that there won't be an earthquake in two years is then
0.995 x 0.995, or.0990025.
The probability that we will not have a big earthquake in this region in the next two years is 0.990025.
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Carl used 24 blocks to build a tower. Each block is a cube with side length of 2 inches. Use the formula v = s3 to find the volume of a cube. What is the volume of the tower?
Answer:
184
Step-by-step explanation:
Triangle fgh is an isosceles right triangle with a hypotenuse that measures 16 units. an altitude, line segment g j, is drawn from the right angle to the hypotenuse. what is the length of line segment g j? 2 units 4 units 6 units 8 units
The square of the altitude is equal to the product of the base of the triangles
Triangular altitude theoremThe square of the altitude is equal to the product of the base of the triangles. The length of line segment GJ is 8units
According to the theorem;
GJ² = HJ*JF
Determine the value of x using the pythagorean theorem
\(x^2+x^2=16\\2x^2=16\\x^2=8\\x=\sqrt{8}\\x=2\sqrt{2}\)
According to the theorem;
GJ² = HJ*JF
HJ + JF = 16
Since HJ = JF, hence
HJ = JF = 8
Substitute
GJ² = HJ*JF
GJ² = 8 * 8
GJ² = 64
GJ = 8units
Hence the length of line segment GJ is 8units
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Answer:
8
Step-by-step explanation:
4) A line has a slope of -5 and passes through the point (2, 2). An equation for this line is
Answer:
\(D: y= -5x+12\)
Step-by-step explanation:
Since the slope is -5 is either C or D. Let's replace \(x= 2\) in either to see what we get.
C: \(-5(2)-2 = -12\) Nope.
D: \(-5(2) +12 = 2\) Good!
If csc(0) <0, then in which quadrants could 0 lie? Select all correct answers. Select all that apply: a. Quadrant 1 b. Quadrant II c. Quadrant III d. Quadrant IV
The value of θ lies in the quadrants III and IV.
Given that;
csc (θ) < 0
Now, if csc(θ) < 0, it means the cosecant of X is negative.
In trigonometry, the cosecant of an angle X is defined as the reciprocal of the sine of X.
So, if csc (θ) < 0,
It implies that the sine of X is negative.
Based on the signs of the trigonometric ratios in each quadrant, we can determine the possible quadrants where X could lie.
The sign of the sine function in each quadrant is as follows:
a. Quadrant 1: sine is positive
b. Quadrant II: sine is positive
c. Quadrant III: sine is negative
d. Quadrant IV: sine is negative
Since we are given that csc(X) < 0 (implying that sine is negative), X could lie in either Quadrant III or Quadrant IV.
Therefore, the correct answer is c. Quadrant III and d. Quadrant IV.
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Which statement is true of rectangles Y and Z?
Rectangle Y has a length of 6 and width of 4. Rectangle Z has a length of 4 and width of 3.
Answer:
Rectangle Y has a length of 6 and width of 4
Step-by-step explanation:
Just did it
Answer:
Not too sure, but I think it's D.
Step-by-step explanation:
A Mika rode her bike around a trail in the park.
The trail is 3 miles long. Mika rode around the
trail 4 times. How many miles did she travel in all?
Answer:
12 miles
Step-by-step explanation:
Total miles = Length of trail ×
Number of times she rode
Total miles = 3 miles × 4 times
Total miles = 12 miles
Mika traveled a total of 12 miles.
Distance between sets): Let A and B be sets in a metric space. Define D(A,B) to be inf D(a,b) where the inf is taken over all a∈A,b∈B. Observe that D(A,B)=0 if A and B have a point in common, but that this condition is not necessary. (a) If B consists of a single point x, prove that D(A,B)=0 if and only if x is in the closure of A. (b) Give an example where A and B are both closed, A∩B is empty, and D(A,B)=0. (Suggestion: a hyperbola and its asymptotes.)
Both A and B are closed, A ∩ B is empty, and the distance between any point in A and any point in B is 0. Hence, D(A,B) = 0.
(a) If B consists of a single point x, then D(A,B) = 0 if and only if x is in the closure of A.
The proof of this is as follows: Given A and B in a metric space, define D(A,B) to be inf D(a,b) where the inf is taken over all a ∈ A and b ∈ B.
If B is a single point x, then
D(A,x) = inf D(a,x) over all a ∈ A. If x is in the closure of A, then there exists a sequence of points {a_n} in A that converges to x.
Since the distance between a point and itself is 0, we have
D(a_n,x) → 0 as n → ∞.
Therefore, D(A,x) = inf D(a,x) = 0.
On the other hand, if x is not in the closure of A, then there exists an ε > 0 such that B(x,ε) ∩ A = ∅.
Thus, D(A,x) ≥ ε > 0.(b)
An example of A and B, both closed, A∩B empty, and D(A,B) = 0 is as follows.
Consider the hyperbola xy = 1 in the plane.
Let A be the region to the left of the y-axis, and let B be the region to the right of the x-axis.
Both A and B are closed, A ∩ B is empty, and the distance between any point in A and any point in B is 0 (since the hyperbola asymptotes to the x and y axes.
Therefore, D(A,B) = 0.
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Can someone please help, I'll give out 20 points !
Question - Where is the blue point on the number line?
Answer:
-6
Step-by-step explanation:
The number line is created by skip counting of 2.
So, -2 , then -4 and then -6.
So, blue dotted point is (-6)
(3x³x+4) /(x − 2)
Help
Answer:
3x^4 + 4 / x - 2
Step-by-step explanation:
(3x³x+4) /(x − 2)
3(x ⋅ x^3) + 4 / x - 2
3x^4 + 4 / x - 2
We can't simplify anymore, so the answer is 3x^4 + 4 / x - 2
Fill in the blanks so that the functions below, written to represent this situation, are correct. If necessary, answer in terms of a decimal, rounded to the nearest hundredth.
ƒ(x) =
x +
The linear function for this problem is given as follows:
y = 0.25x + 25.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph touches the y-axis at y = 25, hence the intercept b is given as follows:
b = 25.
In 20 miles, the number of miles increases by 5, hence the slope m is given as follows:
m = 5/20
m = 0.25.
Hence the function is given as follows:
y = 0.25x + 25.
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A company makes 140 bags.
30 of the bags have buttons but no zips.
27 of the bags have zips but no buttons.
20 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answer: 41/75 or 54.67%
Step-by-step explanation:
Buttons --- yes, zips --- yes = 45 (compute as 150 - 37 - 45 - 23)
Buttons --- yes, zips --- no = 37
Buttons --- no, zips --- yes = 45
Buttons --- no, zips --- no = 23
Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75
If you answer can you also explain why.
this is not a fair method, as we found at least two different probabilities.
Is this a fair method to determine who has to sit out?
We will say that this is a fair method if and only if the probability for each of the 7 friends is exactly the same.
So, each friend selects a number from 1 through 7 and then it repeats, so, this means that the person who selects the number 1 has the possible outcomes:
{1, 8, 15, 22, 29, 36, 43, 50}
While the person who gets the number 7, has the possible outcomes:
{7, 14, 21, 28, 35, 42, 49}
Now, notice that the person who got the number 1 has 8 outcomes in which he sits out.
While the person who got the number 7 has 7 outcomes in which he sits out.
So, the person with the number 1 has a larger probability of sitting out than the person with the number 7, thus, this is not a fair method, as we found at least two different probabilities.
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Help me with this question pleaseeeeeee
Answer:
False
Step-by-step explanation:
Scale copies are indicated by proportional changes in the lengths of the sides of a figure. in this image, we can see that the bottom side of the figure is different while the shorter segments on each figure are the same length. Because of this, the answer is False as they can not be scale copies.
Trevor was reading a book for a book report. Last week, he read 45 pages of the book. This week, he read 3.5 times as many pages as he read last week.
How many pages of the book has Trevor read this week? Complete the explanation.
45
× 3.5
Answer:
5
Step-by-step explanation:
45*3.5=
A(n) _____ statistic allows researchers to represent large amounts of data with just one (or a few) numbers.
A(n) Descriptive statistic allows researchers to represent large amounts of data with just one (or a few) numbers
Descriptive statistics are used to summarize data and make it easier to understand. They can be used to describe the central tendency, variability, and shape of a distribution.
Descriptive statistics can be used to describe data in a variety of ways. For example, they can be used to describe the average height of a group of people, the distribution of grades on a test, or the number of people who voted for each candidate in an election.
Hence, the missing phrase is descriptive.
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