what is the domain of the function y=2squareroot x-5

Considering a six-sided spinner, it is found that the probability of spinning a 1 and tossing a head is of \(\dfrac{1}{12}\).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Since the events are independent, the probability of spinning a 1 and tossing a head is given by:

\(\text{p}=\dfrac{1}{6} \times\dfrac{1}{2} =\dfrac{1}{12}\)

Answer:

y=50x

Step-by-step explanation:

The dots rise up by 50 and go right by one. rise/run=slope

There is no y-intercept because the line intersects at the origin, (0,0)

So, the answer is y=50x.

4(3x + 2)4 12 + K (3x + 2) 6 + K is NOT a family of antiderivative of 2(3x + 2). The correct answer is Option b.

To find the antiderivative of 2(3x + 2), follow these steps:

1. Notice the function is 2(3x + 2).
2. Apply the power rule of integration, which states that ∫x^n dx = (x^(n+1))/(n+1) + C, where n ≠ -1.
3. In this case, n = 1, so the antiderivative is (2(3x + 2)^2)/(2) + C.
4. Simplify to obtain (3x + 2)^2 + C.

Option b doesn't match this result, so it is NOT a family of antiderivatives of 2(3x + 2).

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The first three terms of the sequence 25-3n have values of 22, 19, and 16, respectively.

Sequences are groups of numbers written in a certain manner so that the nth term of the sequence may be found using logic or a formula.

The first three terms are shown below:

The sequence's formula is provided as 25-3n.

At n = 1, the first term of the series is 25-(3x1) = 22.

At n = 2, the second term in the series is 25-(3x2) = 19.

At n = 3, the third term of the series is 25-(3x3) = 16.

As a result, the first three terms in the sequence 25-3n are 22, 19, 16.

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Complete question - The nth term of a sequence is 25-3n. Work out the first 3 terms of the sequence.

Answer:

To receive 1 foot of snow it will take about 18 hours.

Step-by-step explanation:

Given that a city receives 2 inches of snowfall every 3 hours, to write and graph a function that describes the relationship and determine how long does it take to receive 1 foot of snow, the following calculation must be performed:

1 foot = 12 inches

(12/2) x 3 = X

6 x 3 = X

18 = X

Thus, to receive 1 foot of snow it will take about 18 hours.

The solution for the equation cos(x - π/4) = -0.6 in the interval 0 ≤ x ≤ 27 is x ≈ 2.9997.

To solve the equation cos(x - π/4) = -0.6 in the interval 0 ≤ x ≤ 27, we need to find the values of x that satisfy the equation.

First, let's isolate x - π/4 by taking the inverse cosine (cos⁻¹) of both sides:

x - π/4 = cos⁻¹(-0.6)

Next, we need to find the values of x that make cos⁻¹(-0.6) valid in the given interval. The inverse cosine function has a range of 0 to π, so we need to consider the values within that range.

Using a calculator, we find that cos⁻¹(-0.6) ≈ 2.2143 radians.

To find the solutions in the given interval, we add π/4 to both sides of the equation:

x = 2.2143 + π/4 ≈ 2.2143 + 0.7854 ≈ 2.9997

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Answer:

20+6i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression.

Answer: The expression "+" demonstrates communitive property.

Step-by-step explanation: Here you need to group like terms i.e.,

(-1+21)+(i+5i) = 20 + 6i. "+" represents additive commutative property

20+6i = 6i+20 is commutative.

OR (i-1)+(5i+21)

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The are a total of 93 non-negative integer solutions of the equation x + y + z + w = 90.

There are a total of 93 non-negative integer solutions of the equation x + y + z + w = 90.
Explanation:
To find the number of non-negative integer solutions of the equation x + y + z + w = 90, we can use the formula for finding the number of non-negative integer solutions of an equation with n variables and a constant sum:
Number of solutions = (n + constant sum - 1) choose (n - 1)
In this case, n = 4 (the number of variables) and the constant sum is 90. Plugging these values into the formula, we get:
Number of solutions = (4 + 90 - 1) choose (4 - 1)
Number of solutions = 93 choose 3
Number of solutions = 93! / (3! * (93 - 3)!)
Number of solutions = 93! / (3! * 90!)
Number of solutions = (93 * 92 * 91 * 90!) / (3! * 90!)
Number of solutions = (93 * 92 * 91) / (3 * 2 * 1)
Number of solutions = 93
Therefore, there are a total of 93 non-negative integer solutions of the equation x + y + z + w = 90.

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To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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The algebraic expression for each student is 88/x

From the question, we have the following parameters that can be used in our computation:

Number of baskets = 8

Pears in each basket = 11

The total number of pear is calculated as

The total number of pear = Number of baskets * Pears in each basket

Substitute the known values in the above equation, so, we have the following representation

The total number of pear = 8 * 11

Evaluate

The total number of pear = 88

Represent the students with x

So, the expression is 88/x

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The length of the curve over the given interval is 2πa, where a is the constant in the polar equation r = 8a cos θ.

To find the length of the curve defined by a polar equation, we use the formula:

L = ∫\(a^b\) √[r² + (dr/dθ)²] dθ

where a and b are the angles of the interval and r is the polar equation.

In this case, r = 8a cos θ, so we need to find dr/dθ:

dr/dθ = -8a sin θ

Now we can substitute into the formula for L:

L = ∫\((-\pi /16)^(^\pi^ /^1^6^)\) √[(8a cos θ)²+ (-8a sin θ)²] dθ

Simplifying under the square root:

L = ∫\((-\pi /16)^(^\pi ^/^1^6^)\) √[64a²(cos²θ + sin²θ)] dθ

L = ∫\((-\pi /16)^(^\pi^ /^1^6^)\) 8a dθ

L = 16a(π/16 - (-π/16))

L = 2πa

Therefore, the length of the curve over the given interval is 2πa, where a is the constant in the polar equation r = 8a cos θ.

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The slope of the line parallel to the line is -2

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The line equation is given as

6x + 3y = -54

Subtract 6x from both sides

3y = -6x - 54

Divide through the equation by 3

So, we have

y = -2x - 17

A linear equation is represented as

y = mx + c

Where m represents the slope

This means that

m = -2

Parallel lines have the same slope

This means that the slope of the line parallel to the line is -2

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4/6 can be simplified to 2/3

Now add to 3 to get final answer

3 2/3

Answer:

30+31+32 =93. Smallest is 30

Answer:

31

Step-by-step explanation:

Let the three unknown numbers be x+x+x

\(x+x+x =93\\3x = 93\)

Divide both sides by 3

\(\frac{3x}{3} = \frac{93}{3} \\\\x = 31\\\\\)

The numbers are 31 , 33,35

Here are the reasons why control of column and detector temperature is more important for nonsuppressed IC than it is for suppressed IC: Overall, the higher sensitivity of the conductivity detector and the lower conductivity of the eluent in nonsuppressed IC make it more important to control column

Nonsuppressed IC uses a conductivity detector, which measures the electrical conductivity of the eluent. The conductivity of the eluent is affected by temperature, so changes in temperature can cause changes in the baseline signal and make it difficult to see the peaks of the analytes. In suppressed IC, a suppressor is used to remove the ions from the eluent before it reaches the detector, so temperature changes have less of an effect on the baseline signal.

Nonsuppressed IC uses dilute eluents, which have lower conductivity than concentrated eluents. This means that the baseline signal is already very low in nonsuppressed IC, so even small changes in temperature can cause significant changes in the baseline signal. In suppressed IC, the eluent is more concentrated, so the baseline signal is higher and less affected by temperature changes.

Nonsuppressed IC uses columns with lower ion-exchange capacity than suppressed IC columns. This means that the analytes have a longer retention time in nonsuppressed IC, which gives them more time to interact with the column and the eluent. This interaction can be affected by temperature, so it is important to keep the temperature constant to ensure reproducible results. In suppressed IC, the analytes have a shorter retention time, so they are less affected by temperature changes.

Overall, the higher sensitivity of the conductivity detector and the lower conductivity of the eluent in nonsuppressed IC make it more important to control column and detector temperature in this method than in suppressed IC.

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The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

What is the discriminant of a polynomial?

The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.

It is represented as ‘D’

D = b² - 4ac

Where,

a is the coefficient of x²

b is the coefficient of x

c is a constant term

x² + 5x + 4 = 0

We have given:

x² + 5x + 4 = 0

Comparing the equation with the standard form.

a = 1, b = 5 and c = 4

Substituting it in the formula

D = 5² - 4 × 1 + 4

By further calculation

D = 25 - 16

D = 9,

The quadratic roots are real and distinct

Therefore, the value of b² - 4ac is 9.

Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

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The proportion is 12/20 = n/165 and we can estimate that 99 seventh graders out of the 165 attending Monique's school participate in after-school activities.

To estimate the number of seventh graders who participate in after-school activities, we can set up a proportion using the given data. Let n be the number of seventh graders who participate in after-school activities out of the total number of seventh graders attending Monique's school, which is 165.

The proportion can be written as:

12/20 = n/165

To solve for n, we can cross-multiply and simplify:

12 × 165 = 20n

1980 = 20n

n = 1980/20

n = 99

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Step-by-step explanation:

When two lines are perpendicular, the product of their slope/gradient = -1. Another way of thinking of this is that they are negative-reciprocal of each other.

Let y = 4x + 6 be [a]  & the perpendicular line [b]

     since the slope of [a] = 4

      then the slope (m) of [b] = - ¹/₄

Since we know the slope of [b], we can use the point-slope form (y - y₁) = m (x - x₁);     where (x₁ , y₁) = (10 , 2)  &  m =   - ¹/₄

∴ the equation of the perpendicular line :   (y - 2) =  - ¹/₄ (x - 10)

The probability is 7/72 that each of the final three rolls is at least as large as the roll preceding it.

Let \(N_{i}\) represent the number appearing on die when die is rolled ith time,

i=1,2,3,4

Given that \(N_{1}\)≤\(N_{2}\)≤\(N_{3}\)≤\(N_{4}\)

Each time when a die is rolled, six options are there.

Let we have four equal sets

{1,2,3,4,5,6}, now we have to select four numbers such that, exactly one number is selected from each set

Case 1: All four are same

Number of ways:⁶C₁ =6

Case 2: Three are same but one is different

Number of ways: ⁶C₁ ⁵C₁ =30

Case 3: Two are same of one kind and two are same of second kind

Number of ways: \(\frac{1}{2}\) ⁶C₁ ⁵C₁=15

Case 4: Two are same and two are different

Number of ways: ⁶C₁ ⁵C₂=60

Case 5: All four are different

Number of ways: ⁶C₄=15

Required probability:

=\(\frac{6+30+5+60+15}{6*6*6*6}\)

=\(\frac{126}{36*36}\)

=\(\frac{72}{7}\)

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3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer:

c = 14

Step-by-step explanation:

hope this helps

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

Answer:

I believe it would be all positive numbers 1-7. You have to look at the x, or, input values. I hope I got this right.

Step-by-step explanation:

The magnitude of the resultant force can be found using the law of cosines, and it is approximately 692 pounds.

The direction of the resultant force can be found using the law of sines, and it is approximately 14.6° with respect to the positive x-axis

To find the magnitude of the resultant force, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of their magnitudes and the cosine of the included angle.

In this case, the two sides are the magnitudes of the given forces (300 pounds and 500 pounds), and the included angle is the angle between the forces.

Applying the law of cosines, we have: Resultant force^2 = 300^2 + 500^2 - 2 * 300 * 500 * cos(60° - (-45°))

Calculating this equation, we find that the resultant force^2 is approximately equal to 479,200 pounds^2. Taking the square root of this value, we get the magnitude of the resultant force, which is approximately 692 pounds.

To find the direction of the resultant force, we can use the law of sines. The law of sines states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, the sides are the magnitudes of the forces, and the opposite angles are the angles between the forces and the positive x-axis.

Applying the law of sines, we have: (sin θ) / 500 = (sin 60°) / Resultant force

Solving for θ, we find that sin θ is equal to (sin 60°) / (Resultant force / 500). Calculating this equation, we get sin θ is approximately 0.250.

Taking the inverse sine of this value, we find that θ is approximately 14.6°. Therefore, the direction of the resultant force is approximately 14.6° with respect to the positive x-axis.

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y=1200(1+.3)⁶

initial value =

y=5792.1708

6 represent time.

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m.

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m. This is because the conjunction "and" (∧) is used to connect two statements that must both be true in order for the overall statement to be true. In this case, both s (It is sunny today) and m (I will bring my umbrella) must be true in order for the statement to be true.

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(B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."


The logical operator ∧ (conjunction) connects two propositions and represents the idea of "and." Therefore, s∧m means "It is sunny today and I will bring my umbrella." This is the logical expression that represents the statement given in the question.


To summarize, the correct answer is (B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
Main Answer: The correct logical expression is (B) s∧m.

In the given statement, "Despite the fact that it is sunny today, I will bring my umbrella," both propositions s (It is sunny today) and m (I will bring my umbrella) are true at the same time. The logical expression that represents this is s∧m, which means "s AND m" are both true.

The statement "Despite the fact that it is sunny today, I will bring my umbrella" is best represented by the logical expression (B) s∧m, as it shows that both s and m are true.

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