Answer:
0.957g/cm3
Step-by-step explanation:
Density*Volume= mass
volume=mass/density
Liquid A= 140g/0.7
=200
Liquid B= 128/1.6
=1.6
Volume of liquid C= 200+80
=280
Mass of liquid C= 140+ 128
=268
Liquid C's density= mass/volume
=268/280
=0.957g/cm3
I hope I helped :)
Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times. You suspect that the calculator is producing fewer fives than it should. Let p = the true long-run proportion of five's produced by the calculator. What is the approximate P-value for this test? (a) -2.24 (b) -2.98 (c) 0.0028 (d) 0.0127 (e) 0.0250
The approximate P-value for this test is D. 0.01267.
How to calculate the p value?From the information, Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times.
The p(cap) will be:
= 8 / 80
= 0.1
The z score will be:
= (0.1 - 0.2) / (✓0.2(0.8)/80
= -0.1 / ✓0.0019
= -2.236
= -2.24
By using the distribution table after getting the z score, the p value is 0.01267.
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An oxygen ion (O+) moves in the xy-plane with a speed of 2.00 ✕ 103 m/s. If a constant magnetic field is directed along the z-axis with a magnitude of 4.25 ✕ 10−5 T, find the magnitude of the magnetic force acting on the ion and the magnitude of the ion's acceleration. (a) the magnitude (in N) of the magnetic force acting on the ion N (b) the magnitude (in m/s2) of the ion's acceleration m/s2
a. The magnitude of the magnetic force acting on the ion is 1.72 × 10⁻¹⁴ N.
b. The magnitude of the ion's acceleration is 6.48 × 10¹¹ m/s².
What is magnetic field?The area in which the force of magnetism acts around a magnetic material or a moving electric charge is known as the magnetic field.
The magnetic force on a charged particle moving in a magnetic field is given by the formula:
F = q v B sin θ
where:
- F is the magnetic force acting on the particle
- q is the charge of the particle
- v is the velocity of the particle
- B is the magnetic field strength
- θ is the angle between the velocity vector and the magnetic field vector
In this problem, the oxygen ion has a charge of +1.6 × 10⁻¹⁹ C and is moving with a speed of 2.00 × 10³ m/s in the xy-plane. The magnetic field is directed along the z-axis with a magnitude of 4.25 × 10⁻⁵ T. Since the velocity vector is perpendicular to the magnetic field vector, the angle between them is 90°, so sin θ = 1.
(a) The magnitude of the magnetic force on the oxygen ion is:
F = q v B sin θ = (1.6 × 10⁻¹⁹ C) × (2.00 × 10³ m/s) × (4.25 × 10⁻⁵ T) × 1 = 1.72 × 10⁻¹⁴ N
Therefore, the magnitude of the magnetic force acting on the ion is 1.72 × 10⁻¹⁴ N.
(b) The magnitude of the ion's acceleration can be found using the formula:
a = F/m
where:
- a is the acceleration of the particle
- F is the magnetic force acting on the particle
- m is the mass of the particle
The mass of an oxygen ion is approximately 2.66 × 10⁻²⁶ kg.
So, the magnitude of the ion's acceleration is:
a = F/m = (1.72 × 10⁻¹⁴ N) / (2.66 × 10⁻²⁶ kg) = 6.48 × 10¹¹ m/s²
Therefore, the magnitude of the ion's acceleration is 6.48 × 10¹¹ m/s².
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Sandra is 1.8 m tall. She stood 0.9 m from the base of the mirror and could see the top of
the cliff in the mirror. The base of the mirror is 5.4 m from the base of the cliff. What is
the height of the cliff?
The cliff rises 10.8 metres in height.
To determine the height of the cliff, we can use similar triangles and apply the concept of proportions.
Let's denote the height of the cliff as "h."
According to the given information, Sandra is 1.8 m tall and stands 0.9 m from the base of the mirror. The distance between the base of the mirror and the base of the cliff is 5.4 m.
We can form a proportion based on the similar triangles formed by Sandra, the mirror, and the cliff:
(Height of Sandra) / (Distance from Sandra to Mirror) = (Height of Cliff) / (Distance from Mirror to Cliff)
Plugging in the values we know:
1.8 m / 0.9 m = h / 5.4 m
Simplifying the equation:
2 = h / 5.4
To solve for h, we can multiply both sides of the equation by 5.4:
2 * 5.4 = h
10.8 = h
Therefore, the height of the cliff is 10.8 meters.
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Scientists determined that the cause of death in many prawns off the coast of Chile was a nutrient deficiency. So, they set out to determine if the distribution of plants in the ocean near the coast was out of proportion when compared to the ideal environment: 40% Kelp, 25% Phytoplankton, 25% Coral and 10% Other (mostly nutrient-low seaweed). In randomly chosen areas along the coast, they sampled 240 plants.
KELP PHYTOPLANKTON CORAL OTHER
84 67 57 32
In an ideal environment how many of the 240 plants would you expect to be Kelp?
If a goodness of fit test is conducted, what is the null Hypothesis?
If a goodness of fit test is conducted, what is the alternative Hypothesis?
What is the probability of getting the observed values or values as extreme from the ideal?
Is there enough evidence to conclude that the environment for prawns is not ideal? Base this conclusion on p-value and a level of significance of 0.05 or 5%.
Answer:
Step-by-step explanation:
Use the FOIL Method to find (x−4)(x+8).
Answer:
\(x^2 +4x - 32\)
Step-by-step explanation:
By FOIL method, \((x-4)(x+8) = x \cdot x + x \cdot 8 + -4 \cdot x + -4 \cdot 8 = x^2 +4x - 32.\)
HELP MEEEEEEEEEEEEEEE
Answer: D is the correct
Step-by-step explanation:
solve the linear equation 4x-(2x-1)=x+5+x-6
The linear equation doesn't have a solution.
How to compute the value?The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6
This will be solved thus:
4x - 2x + 1 = x+5+x-6
4x - 2x + 1 = 2x - 1.
2x + 1 = 2x - 1
Collect like terms
2x - 2x = -1 - 1
0 = -2
This illustrates that the equation doesn't have a solution.
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what is the slope of the line through -7,-8 and (0,4)?
Answer:
A: 12/7
Step-by-step explanation:
find 9 f(x) dx 0 if f(x) = 5 for x < 5 x for x ≥ 5 .
9 f(x) dx of f(x) = 5 for x < 5 x for x ≥ 5 is 53 when x is between 0 and 9.
What is integration ?
Integration is a fundamental concept in calculus, which is used to find the area under a curve and the total change of a function. It is the reverse process of differentiation and can be used to find the original function, given its derivative.
For f(x) = 5 for x < 5, we have
∫(5dx) from 0 to 5 = 5*(5-0) = 25
For f(x) = x for x ≥ 5, we have
∫(x dx) from 5 to 9 = (1/2)x^2 from 5 to 9 = (1/2)(9^2 - 5^2) = (1/2)(81 - 25) = (1/2)(56) = 28
So the definite integral of the piecewise function is
∫(9 f(x) dx) from 0 to 9 = ∫(5dx) from 0 to 5 + ∫(x dx) from 5 to 9 = 25 + 28 = 53,
Therefore , 9 f(x) dx of f(x) = 5 for x < 5 x for x ≥ 5 is 53 when x is between 0 and 9.
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What is the average speed of a boat that travels 57 kilometers in 3 hours?
Answer:
19 km/h
Step-by-step explanation:
average speed = total distance / total time
in this case it will be 57/3 = 19 km/h
what is the solution of the equation x^2=64
Answer:
x = 8
Step-by-step explanation:
what is the solution of the equation x^2=64?
x² = 64
x = √64
x = 8
-------------------------
check
8² = 64
64 = 64
In ∆OPQ, q =18cm, o=96cm and
Given the information on the problem, we can use the law of cosines to find the length of p with the following equation:
\(p^2=q^2+o^2-2q\cdot o\cdot\cos P\)substituting the values at hand, we get the following:
\(\begin{gathered} p^2=(18)^2+(96)^2-2(18)(96)\cos 142 \\ \Rightarrow p^2=324+9216+2723.37 \\ \Rightarrow p^2=12263.37 \\ \Rightarrow p=\sqrt[]{12263.37}=110.74 \\ p=110.7\operatorname{cm} \end{gathered}\)therefore, the length of p is 111 cm
A taxi charges $1.25 per mile and a flat fee of $2.75. How much would Maria pay for a 5 mile ride?
Answer:
$9.00 i believe
Step-by-step explanation:
[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
find the missing side of the right triangle.
Answer:
Step-by-step explanation:
48
Answer:
51
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
45^2+24^2
2025+576
2601=c^2
square root both sides
51=c
Hopes this helps please mark brainliest
add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.
The correct response is 110.
Consider two numbers that are inside 1000.
324 and 434 are these two numbers.
As a result, for any number abc, the terms a, b, and c each have a place value of 100, 10, and 1.
We will therefore add the corresponding digits and multiply them by their place value when adding the two numbers abc and def.
In order to add 324 and 434, we will
(3+4)×100 + (2+3)×10 + (4+4)×1
The solution is 700+50+8=758.
This is equivalent to (324 + 434 = 758)
Similar steps apply for subtraction; simply choose the larger number and continue the same procedures, changing the + sign in the inner bracket to a -.
(4-3)×100 + (3-2) (3-2)×10 + (4-4)×1
Therefore, the correct response is 110.
This equals (434-324) = 110.
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Consider a set of strings defined recursively as follows:
Base case: λ ∈ S
Recursive rules: if x ∈ S and y ∈ S then,
axb ∈ S (Rule 1)
bxa ∈ S (Rule 2)
xy ∈ S (Rule 3)
Prove that every string in S contains the same number of a's and b's.
Note that your proof does not necessarily imply that every string that has the same number of a's and b's is in S.
pls give full solution and explanation
The set of strings defined recursively consists of the empty string and any string obtained by adding a single 'a' or 'b' to the beginning or end of a string already in the set. This set is infinite and can be generated using mathematical induction.
The set of strings can be defined recursively as follows:
1. The empty string is in the set.
2. For any string s in the set, the strings obtained by adding a single 'a' or 'b' to the beginning or end of s are also in the set.
For example, starting with the empty string, we can add 'a' or 'b' to create the strings 'a' and 'b'. Then, we can add 'a' or 'b' to the beginning or end of these strings to create 'aa', 'ab', 'ba', and 'bb'. Continuing in this way, we can generate an infinite set of strings.
To prove that a string is in the set, we can use mathematical induction. First, we show that the empty string is in the set. Then, we assume that a string s is in the set and show that any string obtained by adding a single 'a' or 'b' to the beginning or end of s is also in the set. By repeating this process, we can show that any string in the set can be generated using the above rules.
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Suppose that the mean score for a critical reading test is 580 with a population standard deviation of 115 points. What is the probability that a random sample of 500 students will have a mean score of more than 590? Less than 575? Solve using Excel.
the mean score for a critical reading test, using Excel, the probability that a random sample of 500 students will have a mean score of more than 590 can be calculated to be approximately 0.408.
To calculate the probabilities using Excel, we can utilize the standard normal distribution. First, we need to convert the sample means to z-scores by using the formula: z = (sample mean - population mean) / (population standard deviation / sqrt(sample size)). For the sample mean of more than 590, we can calculate the probability of z being greater than the corresponding z-score using the formula "=1-NORM.S.DIST(z-score,TRUE)". In this case, the z-score is (590 - 580) / (115 / sqrt(500)), which gives approximately 0.408.
Similarly, for the sample mean of less than 575, we calculate the probability of z being less than the corresponding z-score using the formula "=NORM.S.DIST(z-score,TRUE)". The z-score is (575 - 580) / (115 / sqrt(500)), which gives approximately 0.084.
Therefore, the probability that a random sample of 500 students will have a mean score of more than 590 is approximately 0.408, and the probability that the sample mean is less than 575 is approximately 0.084.
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whats the answer for y - 6 > -7
Answer:
y>−1
Step-by-step explanation:
y-6>-7
Add 6 to both sides
y-6+6 > -7+6
Simplify
y>-1
Answer:
y > -1
Step-by-step explanation:
\(y - 6 > - 7 \\ y > - 7 + 6\)
\( \boxed{Answer:{\boxed{\green{= y > - 1}}}}\)
A flowchart proof
contains a set of sentences explaining the steps needed to reach a conclusion.
uses inductive reasoning to prove a statement.
uses a visual representation of the logical flow of steps needed to reach a conclusion.
contains a table with a logical series of statements and reasons that reach a conclusion.
Answer:
C. uses a visual representation of the logical flow of steps needed to reach a conclusion.
Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.
A flowchart proof uses a visual representation of the logical flow of steps needed to reach a conclusion. (Option C)
What is a flow chart proof?
A flowchart proof is a technical proof in which boxes with arrows move from one to the next.
Hence, it is correct to state that a flowchart proof uses a visual representation of the logical flow of steps needed to reach a conclusion.
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PLEASE THIS IS URGENT!!
(08.02)Which of the following graphs best represents the solution to the pair of equations below?
y = x + 1
y = −x − 1
Answer:
The 2nd one. With the intersection to the left of the y-axis on the x-axis
Step-by-step explanation:
You are loading 6 concrete blocks onto a wagon, one at a time. The linear function y=30x+25 represents the total weight y (in pounds) of the wagon and its contents after you have loaded x blocks?
Answer:
D
(0,25) (1,55) (2,85) (3,115) (4,145)
Step-by-step explanation:
Each block is 30lbs, plus another 25lbs for the wagon. So just plot that.
Answer:(0,25) (1,55) (2,85) (3,115) (4,145) (5,175) (6,205)
Step-by-step explanation:
Find the missing length. = √ [?] 9 C C= 10 Pythagorean Theorem: a2 + b² = c²
The value of the missing length is c = √181
How to determine the missing length?From the question, we have the following parameters that can be used in our computation:
Legs = 9 and 10
Hypotenuse = c
The missing length of the triangle can be calculated using the Pythagorean Theorem represented as a² + b² = c²
So, we have the following equation
c² = 9² + 10²
Evaluate the sum of squares
c² = 181
Take the square root of both sides
c = √181
Hence, the missing length is c = √181
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Cho hệ các vector
U ={(1,2,0);(0,-1,0);( (2,3,1);(1,0,2)} .
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để u=(2,3,k^2+1) là một tổ hợp tuyến tính của W, và suy ra [ u]W.
Answer:
SACAN MÃ QR VÀ NHẬN CÂU TRẢ LỜI
VUI LÒNG ĐƯA TÔI Ở BRAINLIEST
Step-by-step explanation:
A client has two refrigerators, one in the kitchen and one in the basement.The former is new and efficient. The latter is 30 years old and uses 120Kwh/month. If this client pays 0.15/kwh
Incomplete question: we assume figures to explain further
Answer and explanation:
Given that client pays $0.15/kwh
If old fridge is inefficient and consumes 120kwh/month
And new fridge is efficient and therefore consumes 50kwh/month
For the old fridge, client will be paying
120×0.15= $18 per month on electricity charges
For the new fridge, client will be paying
50×0.15= $7.5 per month on electricity charges
determine if all polynomial of the form p(t) = a t^2, where a is in r, is a subspace of p2
The set satisfies all three requirements, we can conclude that all polynomials of the form p(t) = a t^2, where a is in r, is a subspace of p2. To determine if all polynomials of the form p(t) = a t^2, where a is in r, is a subspace of p2,.
We need to check if it satisfies the three requirements of a subspace:
1. The zero vector is in the set.
2. The set is closed under addition.
3. The set is closed under scalar multiplication.
First, let's check if the zero vector is in the set. The zero vector of p2 is the polynomial 0t^2 + 0t + 0, which can be written as p(t) = 0. To see if p(t) = 0 is in the set of polynomials of the form p(t) = a t^2, we need to check if there exists an "a" that satisfies p(t) = a t^2 = 0 for all values of t. This is true only if a = 0, so the zero vector is in the set.
Next, let's check if the set is closed under addition. Suppose we have two polynomials p(t) = a t^2 and q(t) = b t^2, where a and b are in r. Then, their sum is p(t) + q(t) = a t^2 + b t^2 = (a+b) t^2. This is also of the form p(t) = a t^2, where a = a+b, so it is in the set. Therefore, the set is closed under addition.
Finally, let's check if the set is closed under scalar multiplication. Suppose we have a polynomial p(t) = a t^2, where a is in r, and a scalar k. Then, k * p(t) = k * a t^2 = (ka) t^2. This is also of the form p(t) = a t^2, where a = ka, so it is in the set. Therefore, the set is closed under scalar multiplication.
Since the set satisfies all three requirements, we can conclude that all polynomials of the form p(t) = a t^2, where a is in r, is a subspace of p2.
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How do you write coordinates for translation?
Coordinates (x ,y ) of the given geometrical figure after translation is written as ( x + h , y + k ) where h ∈ R and k ∈ R.
As given in the question,
Let us consider the coordinates of any geometrical figure is represented by ( x, y ) in the coordinate plane.
Translation is the representation of transformation the change in the location of the given geometrical figure without change in the shape and size.
It can be translated in four ways :
Translation to the right is written as ( x + h , y )
Translation to the left is ( x - h, y)
Translation in the up is ( x, y + k )
Translation in the down is ( x , y - k ).
Therefore, the original coordinate ( x ,y ) after translation written as
( x + h , y + k ) where h ∈ R and k ∈ R.
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What is the result of applying the power rule to (A^x)^y?
The result of applying the power rule to \((A^{x} )^{y}\) is \(A^{xy}\).
The power rule of exponentiation states that when a base is raised to a power, and that power is then raised to another power, we can simply multiply the exponents. In other words, \((A^{m} )^{n}\) = \(A^{mn}\).
Therefore, when we apply the power rule to \((A^{x} )^{y}\), we can simply multiply the exponents. This gives us the result of \((A^{x} )^{y}\) = \(A^{xy}\).
To understand this, let's take an example. Suppose A=2, x=3, and y=4. So we have \((2^{3} )^{4}\). By applying the power rule, we can simplify this as \((2^{3} )^{4}\)=\(2^{12}\).
In essence, what the power rule does is it allows us to simplify complex expressions involving exponents into simpler forms. This is particularly useful when dealing with algebraic expressions or mathematical formulas that involve multiple exponentiations.
In summary, the result of applying the power rule to \((A^{x} )^{y}\) is\(A^{xy}\), which represents the simplified form of the expression.
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Find the zero of a function for n(x)= -6x+18, please show your work.
Answer:
3
Step-by-step explanation:
Find the value of x for which n(x) = 0.
-6x+18 = 0
6x = 18
x = 3
3) Determine the equation of the line given by the graph.
A) y = 3x - 1
B) y=x-1
Oyo-x-1
D)y=-x-1
Answer:
A
Step-by-step explanation:
the x intercept is -1