Answer:
x - 7 = -25
Step-by-step explanation:
The value of x is,
→ x = -18
Then the value of x - 7 will be,
→ x - 7
→ -18 - 7
→ -25
Hence, the answer is -25.
Julie has 25 ounces of a 30 % saline solution. This means 30 % of the solution is salt. He combines this solution with 30 ounces of 20 % saline solution. What is the total amount, in ounces, of salt in the combined mixture?
Answer:
DStep-by-step explanation:
Taub finds some nickels and quarters in her change purse. How much money (in cents) does she have if she has 7 nickels and 9 quarters? How much money (in cents) does she have if she has nn nickels and qq quarters?
Considering the value of each coin, it is found that:
With 7 nickels and 9 quarters, she has $2.60.With n nickels and q quarters, her amount in dollars is of 0.05q + 0.25n.----------------------------------
A nickel is worth $0.05.A quarter is worth $0.25.Thus, with 7 nickels and 9 quarters, we multiply 7 by 0.05 and 9 by 0.25, adding them and finding that she has:\(T = 7(0.05) + 9(0.25) = 2.6\)
What we did above can be generalized for a generic number of nickels and dimes, that is, n nickels and q quarters, when she will have:\(T = 0.05q + 0.25n\)
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Which point on the number line represents - 2/3?
A. Point Q
B. Point P
C. Points
D. Point R
Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
If f(x) = 2x+1 and g(x) = 3x-2 Find f[g(1)] =
Answer:
3
Step-by-step explanation:
3(1)-2= 1
2(1)+1 = 3
Which vector spaces have exactly one basis?
The vector space that has exactly one basis is the trivial vector space, which is the vector space containing only the zero vector.
A basis for a vector space is a set of linearly independent vectors that span the entire space. In a non-trivial vector space (a space that contains more than just the zero vector), there are infinitely many possible bases. This is because any set of linearly independent vectors that span the space can be used as a basis.
However, in the trivial vector space, there is only one vector (the zero vector), and it is linearly independent of itself. Therefore, the trivial vector space has exactly one basis, which is the set containing only the zero vector. Any other set of vectors in the trivial vector space is linearly dependent, and therefore cannot be used as a basis.
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Juan hires an electrician. • Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. How much will Juan pay if it takes the electrician 6.5 hours to complete the job?
Answer: 322.50
Step-by-step explanation:
45 * 6.5 = 292.5
292.5 + 30 = 322.5
how much is 55mm in inches?
Given: l⊥ m ∠2≅∠6 Prove: ∠6≅∠5
(Two-Column Proof)
Which of the following equations is equivalent to 4x -y=3`?
Answer:
x-intercept = (3/4,0)
y'intercept = (0,-3)
Step-by-step explanation:
Not sure what conversion you need but here are the intercepts
While standing on top of a \( 403 \mathrm{~m} \) tall building, you see Iron Man flying straight down toward the ground at a speed of \( 39.0 \) Just as he passes you.
Iron Man will travel a distance of 273.12 meters before he touches the ground after passing you. So, this is the long answer to the given problem.
Step 1: Initial velocity (u) = 39.0 m/s Initial displacement (s) = -403 m (because he is moving in the downward direction)Acceleration (a) = 9.8 m/s² (due to gravity)
Step 2: We can use the formula for displacement: `s = ut + (1/2)at²`Where t is the time taken.
Step 3: Substituting the given values of u, s, and a, we get:-403 = 39t + (1/2) × 9.8 × t²-403 = 39t + 4.9t²
Step 4: We have a quadratic equation now, let's solve it.4.9t² + 39t - 403 = 0Using the quadratic formula: `t = (-b ± sqrt(b² - 4ac)) / 2a`Where a = 4.9, b = 39, and c = -403
Step 5: Solving the above equation, we get two values oft = 7.14 s and t = -9.32 s As time cannot be negative, we reject the negative value of t.So, Iron Man will take 7.14 seconds to reach the ground.
Step 6: Now, let's calculate the distance traveled by Iron Man to reach the ground.`s = ut + (1/2)at²` (from step 2)`s = 39 × 7.14 + (1/2) × 9.8 × 7.14²`= 273.12 meters.
Therefore, Iron Man will travel a distance of 273.12 meters before he touches the ground after passing you. So, this is the long answer to the given problem.
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A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the area? Use your strategy to find the area of the face of
the fiddle.
3) A moving target at a police academy target range can be hit 88% of the time by a particular individual. Suppose that as part of a training exercise, eight shots are taken at a moving target. a) What 3 characteristics of this scenario indicate that you are working with Bernoulli trials? b) What is the probability of hitting the 6
th
target (Hint: think of this as a single trial)? c) What is the probability that the first time hitting the target is not until the 4 th shot?
a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b. The probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c. Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:
The experiment consists of a fixed number of trials (eight shots).
Each trial (shot) has two possible outcomes: hitting the target or missing the target.
The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is the probability of getting exactly k successes,
C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,
p is the probability of success in a single trial, and
n is the total number of trials.
In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.
P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)
The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:
P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.
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a rectangle has a length of 4 inches and a width of 8 inches whose sides are changing. the length is decreasing by 7 in/sec and the width is shrinking at 3 in/sec. what is the rate of change of the area?
The Rate Of Change of the Area is -68 inch/sec which means area is decreasing .
In the question ,
it is given that ,
the length of rectangle is = 4 inches
the width of rectangle is = 8 inches
also given that the length is decreasing at the rate of 7 in/sec ,
which mean dl/dt = -7 in/sec
the width is shrinking at the rate of 3 in/sec ,
which means dw/dt = -3 in/sec
w know that the Area of the Rectangle = length × width
A = l \(\times\) w
On differentiating the area with respect to "t" , we get
dA/dt \(=\) l × (dw/dt) \(+\) w × dl/dt
= 4 × (-3) \(+\) 8 × (-7)
= -12 - 56
= -68 in/sec
Therefore , The Rate Of Change of the Area is -68 inch/sec that is area is decreasing .
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Approximately how many feet are in 5 kilometers? note: 2.54 cm≈1 in. 1968.5 ft 1968.5 ft 16,404.2 ft 16,404.2 ft 23,622.04 ft 23,622.04 ft 15,240,000 ft
Answer:
16404.2 feet
Step-by-step explanation:
1 in = 2.54 cm
1 km = 100000 cm
5 km = 100000*5 = 500000
1 feet = 12 in
500000 cm = 500000/2.54 = 196850.39 in
196850.39 in = 196850.36 / 12 = 16404.2 feet
Select the correct answer.
Which equation correctly solves the Pythagorean theorem, a2 + b2 = , fc
O A. b = c -a
B. b = VC2 - 22
Ocb = V2 + a2
D.
b = c + a
Answer:
a² + b² = c²
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
Find the 8th term of the geometric sequence 10, -20, 40, ...
Answer:
-1280
Step-by-step explanation:
10×(-2)= -20
-20×(-2)= 40
4th term: 40×(-2)= -80
5th term: -80×(-2)= 160
6th term: 160×(-2)= -320
7th term: -320×(-2)= 640
8th term: 640×(-2)= -1280
Find the value of k if the remainder is 13 when
25 + 4x4 + kx3 + x – 11 is divided by x + 3
Answer:
\(k = \frac{322}{27} \)
Step-by-step explanation:
x + 3 = 0 → x = - 3
25 + 4(-3)⁴ + k(-3)³ + (-3) - 11 = 13
25 + 324 - 27k - 3 - 11 = 13
349 - 27k - 14 = 13
349 - 14 - 13 = 27k
349 - 27 = 27k
322 = 27k
k = 322/27
The weight of one serving of skittles is 1.5 ounces. How much will 22.5 servings weigh?
Answer:
33.75 ounces
hope this helps
WORTH 24 POINTS PLEASE HELP
Answer:
What do you need help with?
Step-by-step explanation:
What do you need help with-?
Find the volume of the pyramid with a square base where the perimeter of the base is 8. 7cm and height of the pyramid is 6. 3cm round your answer to the nearest tenth of the cubic centimeter
Answer:
9.9\(cm^{3}\)
Step-by-step explanation:
Formula:
1/3(area of the base x height)
1/3 [2.175(2.175)(6.3)]
1/3(4.730625)(6.3)
1/3(29.8029375)
9.9343125
Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square. The area of the square, we need to multiply 2.175 by 2.175.
9.9343125 rounded to the nearest tenth is 9.9
Helping in the name of Jesus.
What are the zeros of this function: f(x) = x^2 + 14x + 24
x1= ___ x2= ____
The zeros of this function f(x) = x² + 14x + 24 are x₁ = -12, x₂ = -2.
What are zeros of the given function?Given the quadratic function in the question:
f(x) = x² + 14x + 24
We can solve for the values of x by factoring.
To factor the quadratic function f(x) = x² + 14x + 24
Find two numbers that multiply to give 24 and add to give 14.
These numbers are 2 and 12.
We can then rewrite the quadratic function as:
f(x) = x² + 14x + 24
f(x) = x² + 2x + 12x + 24
Factoring out their greatest common factors
f(x) = x(x + 2) + 12(x + 2)
Hence
f(x) = (x + 2)(x + 12)
Now, equate each factor to 0 and solve for x.
(x + 2)(x + 12) = 0
(x + 2) = 0 and (x + 12) = 0
x + 2 = 0 and x + 12 = 0
x₁ = -2 and x₂ = -12
Therefore, the zeros of the function are -2 and -12.
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How do you determine if a matrix is a linear combination of other matrices?
To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).
If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.
For example if we have matrices: A, B & C and we can write matrix D as follows:
D = 2A + 3B + CThen D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.
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the procedure for identifying or indicating the value of cases on a variable
Specific procedures and techniques for coding variables may vary depending on the context, research area, or data analysis software used.
What is a Variable?
A variable is a quantity that can change in the context of a mathematical problem or experiment. We usually use one letter to represent a variable. The letters x, y, and z are common general symbols used for variables.
The procedure for identifying or indicating the value of cases on a variable is commonly known as data coding or data labeling. It involves assigning specific numerical or categorical values to represent different categories or levels of a variable.
Here is the general procedure for encoding variables:
Define the variable: Start by clearly defining the variable you want to code. Understand its nature (eg nominal, ordinal, interval or ratio) and the categories or levels it covers.
Determine the encoding scheme: Decide on the encoding scheme you will use to represent the variable. For nominal variables (categories without their own order), you can assign numbers or labels to each category. For ordinal variables (categories with a meaningful order), you can assign numbers or labels that reflect the order. For interval or ratio variables, the numerical values themselves can indicate the value of the variable.
Assign Codes: Assign specific codes or labels to represent each category or level of the variable. These codes can be numbers, letters, or any other symbol you choose. Make sure the codes are unique and do not overlap.
Apply Coding: Apply assigned codes to matching cases or observations in your dataset. Depending on the software or tool you are using, there are different ways to do this. You can manually enter codes, use syntax or programming commands, or use data transformation functions.
Verify your coding: Double-check your coding to ensure accuracy. Review a sample of the coded cases to ensure they match the intended coding scheme. This step is essential to avoid errors and inconsistencies in your data.
It is important to note that specific procedures and techniques for coding variables may vary depending on the context, research area, or data analysis software used.
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sue, the him manager is writing a contract for transcription services. she asks her legal counsel to provide her with a sample for her to use that describes standard contract provision. sue is using a type of contract provision?sue, the him manager is writing a contract for transcription services. she asks her legal counsel to provide her with a sample for her to use that describes standard contract provision. sue is using a type of contract provision?warrantyarbitrationrule of reasonboilerplate
Sue is using a *boilerplate* contract provision, a boilerplate contract provision is a standard clause that is often included in contracts. These clauses are typically used to address common issues that may arise in the course of the contract, such as dispute resolution, governing law, and limitation of liability.
In this case, Sue is asking her legal counsel to provide her with a sample boilerplate contract provision that she can use in her contract for transcription services.
This provision will likely address issues such as the quality of the transcription services, the payment terms, and the termination of the contract.
Boilerplate contract provisions can be very helpful in ensuring that all parties to a contract are aware of the terms and conditions of the agreement.
However, it is important to review these provisions carefully to make sure that they are appropriate for the specific contract.
Here are some examples of boilerplate contract provisions:
Governing law:** This clause specifies which state's laws will govern the contract.Dispute resolution:** This clause specifies how disputes arising out of the contract will be resolved.Limitation of liability:** This clause limits the liability of the parties to the contract.Confidentiality:** This clause specifies that the parties to the contract will keep confidential any information exchanged under the contract.Boilerplate contract provisions can be a valuable tool for businesses. However, it is important to remember that these provisions are not always appropriate for every contract. It is always a good idea to review boilerplate contract provisions carefully before using them.
Here is a table that summarizes the differences between the three types of contract provisions mentioned in the question:
| Type of contract provision | Definition | Example |
|---|---|---|
| Warranty | A promise by one party to the contract that certain facts are true or that certain events will occur. | "The transcription services will be completed within 30 days of the date of the contract." |
| Arbitration | A process in which a neutral third party is chosen to resolve a dispute between two parties. | "Any disputes arising out of this contract will be resolved through binding arbitration." |
| Rule of reason | A legal principle that allows businesses to engage in certain anticompetitive practices if those practices are reasonable and do not harm competition. | "The transcription company may not charge more than \$1 per page for transcription services." |
As you can see, a boilerplate contract provision is a very different type of provision than a warranty, an arbitration clause, or a rule of reason provision.
Boilerplate contract provisions are typically used to address common issues that may arise in the course of a contract, while the other three types of provisions are used to address specific legal concerns.
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90+2x=4x
can you please help me solve this with steps
Answer:
x=45
Step-by-step explanation:
90+2x=4x
2x=4x-90
2x-4x=-90
-2x=-90
x= -90/-2
x=45
You roll two (standard, six-sided) dice. What is the probability that you do not roll "double sixes"?
a wall has a perimeter of 120 what is the perimeter of the wall in inches
The Perimeter of wall in inches is 4.724412 inches.
We have the Perimeter = 120 m
We know 1 m = 39.3701 inch
Then, the perimeter inches
= 39.3701 x 120
= 472.4412 inches
and, 1 cm= 0.393701 inch
Then, perimeter
= 12 x 0.393701
= 4.724412 inches
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3) A lottery ticket says that the chances of winning are 1 in 8. Suppose you buy 10 of these lottery tickets. Find the probability that at least one of them will be a winner
The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.
The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:
(7/8)^10 = 0.362
This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:
P(at least one winner) = 1 - P(no winners)
P(at least one winner) = 1 - 0.362
P(at least one winner) = 0.638
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36% of the tarts that a baker baked were strawberry tarts. He baked 98 more chocolate tarts than strawberry tarts. How many tarts did the baker bake in all?
Answer:
350
Step-by-step explanation:
100% - 36% = 64% (we first find out the remaining percentage)
Now we know there are 98 more chocolate tarts than strawberry tarts. We have to find out that percentage.
So, 64% - 36% = 28%
So 98 of the chocolate tarts make up 28%
x --------> 100%
98 --------> 28%
Just follow the percentage formula.
98 * 100 = 9800
9800/28 = 350