how do you write 4 more than A as an expression ​

Answer:  subtract the known angle from 180° and then divide by 2.Aug 17, 2020

Step-by-step explanation:

Answer:

1.2*10^4 or 12*10^3

Step-by-step explanation:

(6*10^9)/(5*10^5)=12000

12000=12*10^3

12000=1.2*10^4

The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:

R(x) = -0.32x^2 + 270x

The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:

C(x) = 70x + 52

To determine the company's profit, we subtract the costs from the revenue:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Substituting the given revenue and costs functions:

P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)

Simplifying the equation:

P(x) = -0.32x^2 + 270x - 70x - 52

P(x) = -\(0.32x^2\)+ 200x - 52

The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.

To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:

x = -b / (2a)

For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.

x = -200 / (2 * -0.32)

x = 312.5

Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

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The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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0                                                                                                  0

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on using  disjunctive syllogism to derive Q from the second premise and the derived value of A. if P is true, then Q must also be true..

In logic, a compound statement is made up of two or more simple statements, known as premises or assumptions, that are combined using logical operators such as "and," "or," and "not." To prove a compound statement, we use rules of inference to derive a conclusion based on the given premises.

In the first proof question, we are given three premises: P, P or R, and not S or A. We need to prove the statement Q using these premises. To do so, we use the disjunctive syllogism rule, which states that if one of two disjunctive statements is false, then the other must be true. By assuming ~P, we derive ~S from the third premise using the rule of disjunction. Then, using modus ponens, we derive A from the assumption of ~P and the third premise. Finally, we use disjunctive syllogism to derive Q from the second premise and the derived value of A.

In the second proof question, we are given three premises: not P or S, not S, and R or Q. We need to prove the statement P implies Q using a conditional world proof. We assume P is true and derive S using the first premise. Using the second premise and modus tollens, we derive not R. Finally, using disjunctive syllogism, we derive Q from the third premise and the derived value of not R. Therefore, we show that if P is true, then Q must also be true..

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Answer:

its d

Step-by-step explanation:

Using Counting principle,

The black center square contains total 330 small squares.

We start with lowest one i.e 1 × 1

Let’s consider any one face out of six faces of cube ,

as one face of grid or cube is made up of 25 small squares.

If we are facing difficulty in visualising then

simply we draw a 5× 5 board on paper, just as seen in above picture :

and now check 2× 2 squares.

By using R1, R2 and all columns we shall be able to draw 4 such blocks.

Again, R2,R3 and R3, R4 and R4,R5 we can easily draw 4 squares each cash .

Thus, total square count of 2× 2 squares will be

= 16

similarly, we do it for 3× 3 and 4×4 and we will get 9 & 4 respectively.

For final one 5× 5 there is one big square

So, total squares for one face will be

= 25+16+9+4+1=55

Since, there are 6 such faces for a cube then

=>55× 6= 330

Hence, total squares contain the black center square is 330.

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The probability that the four s's are adjacent and the three a's are adjacent is 1/18

The total number of possible permutations of the letters in "sassafras" is 9!/(4!3!2!) = 1260, where 4! and 3! account for the permutations of the four s's and three a's, respectively, and 2! accounts for the permutations of the two remaining letters (f and r).

To calculate the number of permutations where the four s's are adjacent and the three a's are adjacent, we can consider them as a single block of seven letters: (ssssaaa). This block can be arranged in 7!/(4!3!) = 35 ways. The remaining two letters (f and r) can be placed in the remaining two positions in 2! ways.

Therefore, the number of permutations that satisfy the given conditions is 35 x 2! = 70.

The probability of selecting a permutation that satisfies both conditions is then 70/1260 = 1/18.

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Answer:

You have forgotten to say whether it is am or pm

Step-by-step explanation:

Answer:

Question 1:

A) 12:45 pm

B) 7 : 30 pm

Question 2:

A) 20 15

B) 00 00

Answer:

63km/h

Step-by-step explanation:

devide 80 km/h over 6hrs and get 13 ... subtract 13 from 80 km/h and get 63 km/h

The given problem requires finding the distance between two vectors u and v. The distance can be calculated using the formula d(u,v) = √((u-v) • (u-v)), or d(u,v) = √(|u|² + |v|² - 2u•v).

To find d(u,v), we use the formula:

d(u,v) = ||u - v|| = √((u - v) • (u - v))

First, we find u - v:

u - v = (2, 0, -1, 1) - (-1, 1, 0, 2) = (3, -1, -1, -1)

Next, we find (u - v) • (u - v):

(u - v) • (u - v) = 3² + (-1)² + (-1)² + (-1)² = 12

Finally, we take the square root to get the distance:

d(u,v) = √12 = 2√3

Therefore, d(u,v) = 2√3.
To find the distance d(u,v) between the vectors u and v using the inner product, we can use the following formula:

d(u,v) = √(|u|² + |v|² - 2u•v)

First, we need to find |u|², |v|², and u•v. We have:

u = (2, 0, -1, 1)
v = (-1, 1, 0, 2)

u•v = (2 * -1) + (0 * 1) + (-1 * 0) + (1 * 2) = -2 + 0 + 0 + 2 = 0

|u|² = (2²) + (0²) + (-1²) + (1²) = 4 + 0 + 1 + 1 = 6
|v|² = (-1²) + (1²) + (0²) + (2²) = 1 + 1 + 0 + 4 = 6

Now we can plug the values into the formula:

d(u,v) = √(|u|² + |v|² - 2u•v) = √(6 + 6 - 2 * 0) = √(12)

So, the distance d(u,v) between the two vectors is √(12).

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Answer:

B 29 words/min

Step-by-step explanation:

I just put it into desmos and went to the third number line

Based on the Graham's model, a student who has owned a computer for three years will have an approximate speed of 29 words / min.

The Graham model is:

y = 3.8x + 17.4

x is the number of years so the approximate speed is:

= 3.8(3) + 17.4

= 11.4 + 17.4

= 28.8

= 29 words per min

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So on solving the provided question we cans ay that by unitary method earns 47 hours = 15.34375 * 47 = $721.15625

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

so here,

She earns a fixed salary for the first  = 40hours.

he worked  and earned $613.75

earns per hour = 613.75/40 = 15.34375

earns 47 hours = 15.34375 * 47 = $721.15625

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Answer:

24 cubic units

The radian measure of angle A is (16/9)π.

To convert degrees to radians, we use the conversion factor:

\(1\ degree = \pi /180\ radians\)

Given that angle A is 320 degrees, we can calculate its radian measure as follows:

Angle A in radians = (320 degrees) * (π/180 radians/degree)

                    = (320π)/180 radians

                    = (16/9)π radians

Therefore, the radian measure of angle A is (16/9)π.

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Answer:

Step-by-step explanation:

(A)

A=hw, h=1.5w

A=1.5w^2

(B)

A=(h+8)(w+8), h=1.5w

A=(1.5w+8)(w+8)

A=1.5w^2+12w+8w+64

A=1.5w^2+20w+64

Based on these calculations, the estimated instantaneous velocity at t = 9 is approximately 31376 ft/s.

(a) To find the distance traveled by the ball during the time interval [9, 9.5], we substitute the values of t into the equation \(s(t) = 16t^2:\)

\(s(9) = 16(9)^2 = 1296 ft\)

\(s(9.5) = 16(9.5)^2 = 1712 ft\)

The ball travels Δs = s(9.5) - s(9) = 1712 ft - 1296 ft = 416 ft during the time interval [9, 9.5].

(b) The average velocity over the time interval [9, 9.5] can be calculated by dividing the change in distance by the change in time:

Δs/Δt = (s(9.5) - s(9)) / (9.5 - 9)

Substituting the values, we get:

Δs/Δt = (1712 ft - 1296 ft) / (0.5) = 416 ft / 0.5 = 832 ft/s

The average velocity over [9, 9.5] is 832 ft/s.

(c) To estimate the object's instantaneous velocity at t = 9, we can calculate the average velocity over smaller time intervals that approach t = 9.

Δt = 0.01:

V(9) ≈ Δs / Δt

= (s(9.01) - s(9)) / (9.01 - 9)

= (1609.76 ft - 1296 ft) / 0.01

= 31376 ft/s

Δt = 0.001:

V(9) ≈ Δs / Δt

= (s(9.001) - s(9)) / (9.001 - 9)

= (1615.68016 ft - 1296 ft) / 0.001

= 319680 ft/s.

Δt = 0.0001:

V(9) ≈ Δs / Δt

= (s(9.0001) - s(9)) / (9.0001 - 9)

= (1615.6800016 ft - 1296 ft) / 0.0001

= 31996800 ft/s.

Δt = 0.0001:

V(9) ≈ Δs / Δt = (s(8.9999) - s(9)) / (8.9999 - 9)

= (1615.6799984 ft - 1296 ft) / (-0.0001)

= -31996800 ft/s

Δt = 0.01:

V(9) ≈ Δs / Δt = (s(8.999) - s(9)) / (8.999 - 9)

= (1609.76 ft - 1296 ft) / (-0.001)

= -313760 ft/s

Δt = 0.01:

V(9) ≈ Δs / Δt

= (s(8.99) - s(9)) / (8.99 - 9)

= (1592.896 ft - 1296 ft) / (-0.01)

= -29600 ft/s

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The scale factor is given as follows:

5/3.

The value of x is given as follows:

x = 7.

Two triangles are defined as similar triangles when they share these two features listed as follows:

Equivalent side lengths for this problem are given as follows:

YZ and BC.

Hence the scale factor is given as follows:

10/6 = 5/3.

Then the value of x can be obtained as follows:

(12x - 59)/(2x + 1) = 5/3

Applying cross multiplication, we have that:

3(12x - 59) = 5(2x + 1)

26x = 182

x = 182/26

x = 7.

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Answer:

$9.60

Step-by-step explanation:

since 1 penny is 1/100th of a dollar,

you would multiply 960 by 1/100 to get the amount in dollars

\(960 *\frac{1}{100}\) = \(\frac{960}{100}\)

9.6

$9.60

We can estimate that (A) 3458 students should be sampled using proportions.

So,  we have the following confidence interval of proportions for a sample of n people who were surveyed with a probability of success of π and a level of confidence of.

Where the z-score with a p-value of x is designated as 1+a/2.

The margin of error:

So, with respect to M = 0.01, the sample size is n.

Now solve:

Rounding off: 3458

Therefore, we can estimate that (A) 3458 students should be sampled using proportions.

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The complete question is given below:
We would like to estimate the proportion of UF students who own a scooter to within 1% of the truth, with 95% confidence. We believe around 10% of students do. How many students should be sampled? Group of answer choices

A. 3458

B. 34575

C. 38416

D. 3842

Given equation is:

let us simplify,

use the formula

The answer is

The output should show the updated array with 95 in the 4th position, while the other elements remain unchanged.

To store the number 95 into the 4th element of an array or list called "numbers," you would typically access the 4th index of the array and assign the value 95 to it. Here's an example in Python:

numbers = [0, 0, 0, 0, 0]  # Assuming the array is already initialized with 5 elements

numbers[3] = 95  # Assigning 95 to the 4th element (index 3) of the array

print(numbers)  # Output: [0, 0, 0, 95, 0]

In many programming languages, including Python, arrays or lists are zero-indexed, which means the first element is accessed using index 0, the second element using index 1, and so on.

In the given example, we start with an array called "numbers" that already has five elements. Since arrays are zero-indexed, the indexes of these elements range from 0 to 4.

To store the number 95 into the 4th element of the array, we access the element at index 3. In Python, the syntax for accessing an element at a particular index is array_name[index]. Therefore, numbers[3] refers to the 4th element (index 3) of the "numbers" array.

We then use the assignment operator (=) to assign the value 95 to numbers[3]. This statement updates the value at index 3 to 95, replacing any previous value that might have been there.

Finally, we print the "numbers" array using the print() function to verify that the value has been stored correctly. The output should show the updated array with 95 in the 4th position, while the other elements remain unchanged.

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it must be less than 41 degrees

Answer:

\(\frac{\pi }{4}\)

Step-by-step explanation:

Solving :

(2 cos(θ))² = 2

4 cos²θ = 2

cos²θ = 1/√2

cosθ = \(\frac{\pi }{4}\)

Answer:

Step-by-step explanation: