Answer: 60
Step-by-step explanation:
From the question, we are informed that 430 students were surveyed and 258 said that their favorite type of pet was a dog. The fraction/decimal of those that chose dog as their favorite pet will be:
= 258/430
= 3/5
= 0.6
Suppose that only 100 students were surveyed, the number of students that would say that a dog is their favorite types of pet will be:
= 0.6 × 100
= 60
What will be the multipicative inverse of -1/4??
Answer:
-4.
Step-by-step explanation:
Let x be the multiplicative inverse, then:
-1/4 * x = 1
x = 1 / (-1/4)
= 1 * -4
= -4.
Answer:
-4
Step-by-step explanation:
26 out of 65 as a percentage
How would you do that without a calculator?
Answer:
40%
Step-by-step explanation:
you would first simply the fraction down
13 goes into both numbers so the fraction can be simplified to
2/5 which is think is simply enough to know that 2/5 is 40% but if not the explanation would be
100÷5 =20
20 x by the 2 from the fraction
= 40%
Step-by-step explanation:
65 = 100%
0.65 = 1%
26 = x%
x = (26 ÷ 0.65)%
x = 40%
--------------------------FOLLOW MEIn which two ways can a scrum master exemplify characteristics of a servant leader?
There are 10 common characteristics attributed to servant leadership: active listening, empathy, healing, awareness, persuasion, conceptualization, foresight, stewardship, commitment to the growth of people, and community-building.
How does a Scrum Master demonstrate servant leadership?A Scrum Master is a servant-leader whose focus is on the needs of the team members and those they serve (the customer), with the goal of achieving results in line with the organization's values, principles, and business objectives.
1. Active listening: Active listening is the practice of preparing to listen, observing what verbal and non-verbal messages are being sent.
2. Empathy: the ability to understand and share the feelings of another.
3. Healing: the process of making or becoming sound or healthy again.
4. Awareness: knowledge or perception of a situation or fact.
5. Persuasion: A belief or set of beliefs, especially religious or political ones.
6. Conceptualization: The action or process of forming a concept or idea of something.
7. Foresight: The ability to predict or the action of predicting what will happen or be needed in the future.
8. stewardship: The job of supervising or taking care of something, such as an organization or property.
9. Commitment: The state or quality of being dedicated to a cause, activity, etc.
10. Community-building: Community building is a field of practices directed toward the creation or enhancement of community among individuals within a regional area or with a common need or interest.
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Which is closest to the area of the shaded region in the figure, in
square units?
Answer:
Where is the picture?
Step-by-step explanation:
Qué significa a^2 en matemáticas es la mi trabajo
In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.
How to illustrate with an example4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.
If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.
In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.
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The Question in English
What does a^2 mean in mathematics
2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
Find the length and the width.
Answer:
length=10inches
width=18inches
Step-by-step explanation:
length=x
width=x+8
perimeter=2l+2b
56=2x+2(x+8)
56=2x+2x+16
56-16=4x
4x=40
x=40/4
x=10
(6.7 x 10 5) – (2.3 x 102) =
-Answer:-10
Step-by-step explanation:
Answer:
6.7 x 105 = 703.5
2.3 x 102 = 234.6
703.5 - 234.6 = 468.9
Step-by-step explanation:
a=5 b=5 c=0 d+5
Use the Laplace transform to solve the initial value
problem
y" + 2 (a + 1)y' + (a + 1)^2y = (d + 4) o (t - 1 - b), y (0) = b,
y' (0) = 0
By applying the Laplace transform, the initial value problem (IVP) y" + 2(a + 1)y' + (a + 1)^2y = (d + 4) * δ(t - 1 - b), y(0) = b, y'(0) = 0 can be solved. The Laplace transform is a powerful tool.
To solve the IVP using the Laplace transform, we first apply the transform to both sides of the differential equation. The Laplace transform of y", y', and y can be represented as s^2Y(s) - sy(0) - y'(0), sY(s) - y(0), and Y(s) respectively, where Y(s) represents the Laplace transform of y(t).
By substituting the transformed expressions into the differential equation, we obtain the algebraic equation (s^2 + 2(a + 1)s + (a + 1)^2)Y(s) = (d + 4)e^(-s(1 + b)).Next, we use the initial value conditions y(0) = b and y'(0) = 0 to determine the specific values. Substituting these conditions into the transformed equation, we can solve for Y(s).
Once we have the Laplace transform solution Y(s), we apply the inverse Laplace transform to obtain the solution in terms of the original variable y(t). The inverse Laplace transform operation converts the Laplace transform expression back to the time domain, yielding the solution to the given initial value problem.The Laplace transform provides an efficient method for solving differential equations with initial conditions, transforming the problem into an algebraic one. By using the initial value conditions and taking the inverse Laplace transform, the specific solution for the IVP y" + 2(a + 1)y' + (a + 1)^2y = (d + 4) * δ(t - 1 - b), y(0) = b, y'(0) = 0 can be determined.
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The number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function.
D(h) = 25e -0. 4
When the number of milligrams reaches 6, the drug is to be injected again. How much time is needed between injections?
Round your answer to the nearest tenth, and do not round any intermediate computations.
The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.
We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is
\(D(h)=25 {e}^{ - 0.4 h}\)
We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.
\(6 = 25 {e}^{ - 0.4h} \)
\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)
\(0.24= {e}^{ - 0.4h} \)
Taking logarithm both sides of above equation , we get,
\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)
Using the properties of natural logarithm,
\( \ln(0.24) = - 0.4h\)
\( - 1.427116356 = - 0.4h\)
\(h = \frac{1.42711635}{0.4} = 3.56779089\)
=> h = 3. 6
So, after 3.6 hours, the patient needs to be injected again.
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hiya, I kinda need help I'll be grateful if chu can help uwu
Which formula would you use when you are looking for the slope of a line and given two points on the line?
A.
point-slope formula
B.
slope formula
C.
slope formula and point-slope formula
D.
slope-intercept formula
Answer:c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1)
I really need help with part a and b, please help. Incorrect answers will be downvoted, correct answers will be upvoted. 1. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is of a second. p=00.00040.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 0.0185 0.02420.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 a) Find the real discrete Fourier transform for this data set. (b) Any term in the Fourier series can be written: ak Cos(kwt)+bk sin(kwt) =ck Cos(kwt+$k) ak Find the ck's and plot their amplitude on a bar graph vs. k to illustrate the relative size of each term in the series. Explain the significance of the plot
(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.
(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.
To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.
Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.
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given f(x) = 3x^2 + 5x + k, and the remainder when f(x) is divided by (x+3) is 29, then what is the value of K?
For the expression (3x² + 5x + k) / (x + 3), the remainder is 29 and the value of k is 17.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The function is given as - f(x) = 3x² + 5x + k.
The function is divided by the expression (x + 3).
The value for remainder is 29.
By remainder theorem when f(x) is divided by (x+3) -
x + 3 = 0
x = -3
So substitute the value of x in the function -
f(-3) = 3(-3)² + 5(-3) + k
27 - 15 + k
12 + k
Now the equation will be -
12 + k =29
k = 29 - 12
k = 17
Therefore, the value of k is 17.
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I NEED HELP I ONLY HAVE 20 MINUTES
Answer:
hello I don't understand forgiveness helped me in my task
Step-by-step explanation:
how many times greater is 6 x 10^-6 than 3 x 10^-8
I need this right away and I will do whatever just please help
A. 2 times
B. 20 times
C. 200 times
D. 2,000 times
Answer:
200 times
Step-by-step explanation:
6 * 10^-6= 0.000006
3*10^-8= 0.00000003
0.000006/0.00000003= 200
a store has four open checkout stands. find the number of different ways that six customers can line up at these stands.
the number of different ways that six customers can line up at these stands: there are 84 different ways that six customers can line up at the four open checkout stands.
We have four open checkout stands and six customers. We need to find the number of different ways these customers can line up at the stands.
We will use the formula for combinations with repetition, which is:
C(n + r - 1, r) = C(n + r - 1)! / (r! * (n - 1)!)
where C represents the number of combinations, n is the number of stands (4), and r is the number of customers (6).
Step 1: Calculate n + r - 1.
4 + 6 - 1 = 9
Step 2: Calculate C(9, 6).
C(9, 6) = 9! / (6! * (9 - 6)!)
Step 3: Calculate the factorials.
9! = 362,880
6! = 720
(9 - 6)! = 3! = 6
Step 4: Plug the factorials into the formula.
C(9, 6) = 362,880 / (720 * 6)
Step 5: Calculate the result.
C(9, 6) = 362,880 / 4,320 = 84
So, there are 84 different ways that six customers can line up at the four open checkout stands.
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show that the equation x^3-15x+c=0 has at most one root in the interval parentheses -2, 2.
Therefore, the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2).
To show that the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2), we can use the concept of the Intermediate Value Theorem and Rolle's Theorem.
Let's assume that the equation has two distinct roots, denoted as a and b, in the interval (-2, 2). Without loss of generality, we assume a < b.
Since the function is continuous on the closed interval [-2, 2] and differentiable on the open interval (-2, 2), we can apply Rolle's Theorem. According to Rolle's Theorem, there exists a point c in the open interval (a, b) such that the derivative of the function at c is zero.
Consider the derivative of the function f(x) = x^3 - 15x + c:
f'(x) = 3x^2 - 15
Setting f'(c) = 0, we have:
3c^2 - 15 = 0
c^2 - 5 = 0
c^2 = 5
Taking the square root of both sides, we get:
c = ±√5
Now, let's consider the function values at the endpoints of the interval (-2, 2):
f(-2) = (-2)^3 - 15(-2) + c = -8 + 30 + c = 22 + c
f(2) = (2)^3 - 15(2) + c = 8 - 30 + c = -22 + c
If c = √5, then f(-2) = 22 + √5 and f(2) = -22 + √5.
If c = -√5, then f(-2) = 22 - √5 and f(2) = -22 - √5.
In either case, the function values at the endpoints have different signs. This implies that there exists at least one value, say k, in the interval (-2, 2) such that f(k) = 0, according to the Intermediate Value Theorem.
However, we assumed at the beginning that there are two distinct roots in the interval (-2, 2), denoted as a and b. This contradicts our finding that there is at most one root in the interval. Hence, our assumption of having two distinct roots is false.
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The freight elevator of a building can safely carry a load of at most 4000 lb. A worker needs to move supplies in 50-lb boxes from the loading dock to the fourth floor of the building. The worker weighs 160 lb. The cart he uses weighs 95 lb.
(A) Write and solve an inequality to determine the greatest number of boxes he can move in one trip.
(B) The worker must deliver 310 boxes to the fourth floor. How many trips must she make?
The inequality that represents the greatest number of boxes he can move in one trip is 255 + 50b ≤ 4000.
The solution of the inequality is 74.
The number of trips he would make to deliver 310 boxes is 5.
What is the solution of the inequality?Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is ≤
The form of the inequality is:
Weight of the worker + weight of the cart + (weight of the boxes x number of boxes) ≤ 4000
160 + 95 + (50 x b) ≤ 4000
255 + 50b ≤ 4000
In order to determine the value of b, take the following steps:
Combine similar terms:
50b ≤ 4000 - 255
50b ≤ 3745
b ≤ 3745 / 50
b ≤ 74.9
The number of boxes he can carry is 74
Number of trips = total number of boxes / number of boxes he can carry in one trip
= 310 / 74
= 4.1
= 5 trips
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5x^2-20x-370=15 intermediate step
Answer:
( intermediates plural ) 1 adj An intermediate stage, level, or position is one that occurs between two other stages, levels, or positions. You should consider breaking the journey with intermediate stopovers at airport hotels.
Step-by-step explanation:
can someone Help me really quick
The volume of the given prism is 72 cubic centimeters
Volume of a prismA prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
From the given figure, one cube represents 1 cubic cm
From the given figure
length =6cm
width = 3cm
Height = 4cm
Determine the volume
Volume = length * width * height
Substitute the given parameters into the formula
Volume = 6cm * 3cm * 4cm
Volume = 18 * 4
Volume = 72 cubic centimeters
Hence the volume of the given prism as shown in the diagram is 72 cubic centimeters
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Calculate the slope.
Help!! I’m a little confused on how to do this do u mind explaining? thank you :)
to get the slope of any straight line, we simply need two points off of it, let's use the ones from the picture below.
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-3)}}} \implies \cfrac{4 +4}{0 +3}\implies {\Large \begin{array}{llll} \cfrac{8}{3} \end{array}}\)
I need help with this question. PLZZ HELP!!!
Answer:
the 8 in the graph
Step-by-step explanation:
A salon owner noted what types of services its clients requested last week. Here are the results:
Dye
Haircut
Permanent
5% 30%
10% 5%
2NE
STA
35%
15%
In this sample, are the events "dye" and "permanent mutually exclusive?
MY
Choose
answer
Cor
Yes
MY
No
Pro
Pro
Find the probability that a randomly selected person from this sample requested a dye OR a permanent.
Tel
P(dye OR permanent) =
Answer:
5%+30%+10%+5%=50%
Step-by-step explanation:
There is no intersection between the two sets dye and permanent so it means both sets don't have any common thus both will be mutually exclusive events therefore, option (A) will be correct.
What is a set?A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example set of names starting with A is {Amesh, Aniket, Aakash}
Sets of natural number {1,2,3,4,5....}
As per the given venn diagram,
The sets or events are dye haircuts and permanent.
The mutually exclusive are the events among them nothing have in common.
For example, the set of positive numbers {1,2,3} and the set of negative numbers {-1,-2,-3} now among both sets nothing is common so they will be exclusive events.
Since the intersection area in the Venn diagram represents the common things and among Dye and Permanent, no intersection area is formed thus they will be mutually exclusive events.
Hence "There is no intersection between the two sets dye and permanent so it means both sets don't have any common thus both will be mutually exclusive events".
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If these numbers represent elevations in meters, which is the farthest away from sea level?
7
-3
1/2
-0.8
0.8
-1/10
-2
Answer:
The farthest away is 7. ( im not sure though ) sorry if its wrong :(
Step-by-step explanation:
I think its 7 because sea level is at 0 and 7 is the farthest away. You may be thinking that it could be one of the negatives but those aren't it because those aren't as far away as the 7. I AM SO SORRY IF ITS WORNG and please maybe give me brainliest because ive never had it. Please tell me if its worng.
The order is
-3<-2<-0.8<-0.1<0.5<0.8<7which expression represents 87 less than the product of 12 and 15
Answer:
I think answer is 87<180 or maybe 87<12*15
.Discrete math proofs: modulus
Let m be a positive integer. Show that a mod m = b mod m if a ≡ b (mod m).
If a ≡ b (mod m), then a mod m is equal to b mod m. This means that the remainders when a and b are divided by m are the same.
To show that a mod m is equal to b mod m if a ≡ b (mod m), we need to demonstrate that their remainders upon division by m are the same.
Let's assume a ≡ b (mod m), which means a - b is divisible by m. We can express this as a - b = km, where k is an integer.
When we divide a by m, we get a = qm + r, where q is the quotient and r is the remainder. Similarly, when we divide b by m, we have b = pm + r', where p is the quotient and r' is the remainder.
We can substitute the expressions for a and b into a - b = km:
(qm + r) - (pm + r') = km
Rearranging terms, we have (q - p)m + (r - r') = km.
Since q - p is an integer and k is an integer, it follows that (r - r') must also be divisible by m. Therefore, the remainders r and r' are congruent modulo m, which implies a mod m = b mod m.
Hence, we have shown that if a ≡ b (mod m), then a mod m = b mod m.
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At a corner store, apples cost $1 and orange cost $2 victor has 18$ to spend buy fruits
Write an equation that relates the number of apples a, to the number of oranges,o, victor can buy while spend exactly $18
PLSSS solve question 5
Answer:
i dont know m3 but m1 is 62 and m2 is 45
Step-by-step explanation:
a population is a. the collection of all items of interest in a particular study. b. always the same size as the sample. c. the selection of a random sample. d. the same as a sample.'
A population is the entire group of items of interest in a particular study, and it is not necessarily the same size as the sample. It is not the same as a sample, which is a subset of the population chosen for the study.
A population is the complete set of items of interest in a study. It could be people, animals, plants, objects, or anything else being studied. A population can be large or small, and it is not always the same size as the sample. A sample is a subset of the population that is chosen to represent the entire population. It is important to choose a sample that accurately reflects the population. Sampling techniques, such as random sampling, are used to ensure that the sample is representative of the population. Once the sample is chosen, data is collected from the sample to infer information about the population. This data can then be used to draw conclusions about the population as a whole.
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Help plz..And No links!! I repeat No links!!
= 1 pumpkin
Answer:
In the table:
select 7 pumpkins for Reagan.
select 6 pumpkins for Miles
and select 3 pumpkins for Norma.
Step-by-step explanation:
Have a nice day! :-)
A six-sided die is rolled. (Enter your probabilities as fractions.) (a) What is the probability that a 3 will result? 9/24 (b) What is the probability that a 10 will result? 0 (c) What is the probability that an even number will result?
Answer: 50%
Step-by-step explanation:
For an even # to result, the fraction would be 3/6 or 1/2 which would become 0.5 or 50%.
(a) The probability of rolling a 3 is 1/6.
(b) The probability of rolling a 10 is 0 since a standard six-sided die only has numbers from 1 to 6.
(c) The probability of rolling an even number is 3/6 or 1/2. This is because there are three even numbers (2, 4, and 6) out of the six possible outcomes.
(a) The probability of rolling a 3 on a six-sided die is 1/6. There are 6 possible outcomes when rolling a die, and only 1 of those outcomes is a 3.
(b) The probability of rolling a 10 on a six-sided die is 0. There are no possible outcomes when rolling a die that will result in a 10.
(c) The probability of rolling an even number on a six-sided die is 1/2. There are 3 possible outcomes when rolling a die that will result in an even number: 2, 4, and 6.
Here are the answers in mathematical notation:
(a) P(3) = 1/6
(b) P(10) = 0
(c) P(even) = 1/2
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