The pressure on a scuba diver at sea level is 14.7 pounds per square inch (psi). The pressure increases 0.445 psi for each foot of depth. Suppose the pressure on a diver is 41.4 psi. How deep is she?

Answer:

84/2= 42, 42/7= 6, 6/3= 2

84 = 2 x 2 x 3 x 7

ATM card = 2237

For 8% p-value cutoff , Melissa should use 92% confidence interval

A confidence interval calculated for a treatment effect measure shows the range in which the true treatment effect is likely to fall.

A smaller sample size or higher variability will result in a wider confidence interval with a larger margin of error. The interval width is also influenced by the level of confidence. If you want a higher level of certainty, the interval should be wider.

The width of the confidence interval and the size of the p value are related.

The narrower the interval, the smaller the p value. The confidence interval, on the other hand, provides useful information about the likely magnitude of the effect under consideration as well as the accuracy of the estimate.

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The total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

Cash sales: 40%

Credit card sales: 40%

Debit card sales: 20%

Requirement 1: How much of the total sales revenue is expected to be paid in cash?

Assuming the total sales revenue for January is $X, the amount expected to be paid in cash is 40% of X.

Cash sales = 0.4 × X

Requirement 2: How many customer transactions does the company expect in January?

The number of customer transactions can vary, and the information provided doesn't specify a particular value. You would need to have additional data or assumptions to determine the number of transactions.

Requirement 3: How much of the total sales revenue is expected to be paid with credit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with credit cards is 40% of X.

Credit card sales = 0.4 × X

Requirement 4: How many customer transactions will be paid for by customers using credit cards?

Similar to Requirement 2, the number of customer transactions paid for by credit cards would require additional data or assumptions to determine.

Requirement 5: When budgeting for January's operating expenses, how much should the restaurant expect to incur in credit card transaction fees?

To calculate the credit card transaction fees, we need to consider two components: a fixed fee per transaction and a percentage fee based on the amount charged.

Assuming the number of credit card transactions is Y, and the average amount charged per transaction is Z, the credit card transaction fees can be calculated as:

Credit card transaction fees = (0.50 × Y) + (0.02 × Z × Y)

Requirement 6: How much of the total sales revenue is expected to be paid with debit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with debit cards is 20% of X.

Debit card sales = 0.2 × X

Requirement 7: How many customer transactions will be paid for by customers using debit cards?

Similar to Requirement 2 and Requirement 4, the number of customer transactions paid for by debit cards would require additional data or assumptions to determine.

Requirement 8: When budgeting for January's operating expenses, how much should the restaurant expect to incur in debit card transaction fees?

Similar to Requirement 5, the debit card transaction fees can be calculated using the same formula but with different values for the fixed fee per transaction and the percentage fee based on the amount charged.

Requirement 10: What is the total amount of money that the restaurant expects to deposit in its bank account during the month of January from cash, credit card, and debit card sales?

Assuming the total sales revenue for January is $X, the total amount expected to be deposited in the bank account is the sum of cash sales, credit card sales, and debit card sales.

Total deposits = Cash sales + Credit card sales + Debit card sales

= 0.4 × X + 0.4 × X + 0.2 × X

= X

Therefore, the total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

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The probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Cars enter a car wash according to a Poisson process at a mean rate of 2 cars per half an hour.

Here the value of λ is:

λ = 2 cars/half an hour

λ = 4 cars/hour

The probability that, in an hour, at least 4 cars will enter the car wash:

P(x = 4) = 4⁴e⁻⁴/5

After solving:

P(x = 5) = 0.937 ≈ 0.94

Thus, the probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

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Answer:

A: 236 sqaure ft.

B: 4 cans

Step-by-step explanation:

Sure, I can help you with that.

Part A:

The total surface area of a rectangular prism is calculated using the following formula:

Total surface area = 2(lw + wh + lh)

where:

In this case, we have:

Plugging these values into the formula, we get:

Total surface area = 2(8*6+6*5+8*5) = 236 square feet

Therefore, the total surface area of the doghouse is 236 square feet.

Part B:

Since the bottom of the doghouse will not be painted, we only need to paint the top, front, back, and two sides.

The total surface area of these sides is 236-6*8 = 188 square feet.

Therefore,

we need 188 ÷ 50 = 3.76 cans of paint to paint the doghouse.

Since we cannot buy 0.76 of a can of paint, we need to buy 4 cans of paint.

Answer:

A)  236 ft²

B)  4 cans of paint

Step-by-step explanation:

The given diagram (attached) shows the doghouse modelled as a rectangular prism with the following dimensions:

The formula for the total surface area of a rectangular prism is:

\(S.A.=2(wl+hl+hw)\)

where w is the width, l is the length, and h is the height.

To find the total surface area of the doghouse, substitute the given values of w, l and h into the formula:

\(\begin{aligned}\textsf{Total\;surface\;area}&=2(6 \cdot 8+5 \cdot 8+5 \cdot 6)\\&=2(48+40+30)\\&=2(118)\\&=236\; \sf ft^2\end{aligned}\)

Therefore, the total surface area of the doghouse is 236 ft².

\(\hrulefill\)

As the bottom of the doghouse will not be painted, to find the total surface area to be painted, subtract the area of the base from the total surface area:

\(\begin{aligned}\textsf{Area\;to\;be\;painted}&=\sf Total\;surface\;area-Area\;of\;base\\&=236-(8 \cdot 6)\\&=236-48\\&=188\; \sf ft^2\end{aligned}\)

Therefore, the total surface area to be painted is 188 ft².

If one can of paint will cover 50 ft², to calculate how many cans of paint are needed to paint the doghouse, divide the total surface area to be painted by 50 ft², and round up to the nearest whole number:

\(\begin{aligned}\textsf{Cans\;of\;paint\;needed}&=\sf \dfrac{188\;ft^2}{50\;ft^2}\\\\ &= \sf 3.76\\\\&=\sf 4\;(nearest\;whole\;number)\end{aligned}\)

Therefore, 4 cans of paint are needed to paint the doghouse.

Note: Rounding 3.76 to the nearest whole number means rounding up to 4. However, even if the number of paint cans needed was nearer to 3, e.g. 3.2, we would still need to round up to 4 cans, else we would not have enough paint.

Answer:

10/7 cm^3

Step-by-step explanation:

I can only assume that '30/7 cm^2' represents the area of the base and 1/3 cm the height.  If and only if that is the case, then the volume is

V = (base area)(height) = (30/7 cm^2)(1/3 cm) = 10/7 cm^3.

The area of the base (B) to be 15.588 cm², the height of the prism (h) to be 22 cm, and the volume (V) of the prism to be 343.996 cm³.

Area is a measure of the size of a two-dimensional surface or shape. It is measured in square units such as square meters (m2), square centimeters (cm2), square kilometers (km2), and square miles (mi2). Area can also be calculated for three-dimensional shapes, such as cubes and spheres, by multiplying length, width, and height. For example, the area of a cube with sides of length 10 cm would be 1000 cm2. Area is an important concept in mathematics and has many practical uses in real life.


Base Area (B):
To calculate the area of the base, we use the formula for the area of an equilateral triangle: B = (√3/4) × a², where a is the side length.

In this case, a = 6 cm. Therefore, B = (√3/4) × 6² = 15.588 cm².

Height (h):
The height of the prism is the height of the triangle (12 cm) plus the height of the floor (10 cm). Therefore, h = 12 cm + 10 cm = 22 cm.

Volume (V):
The volume of the prism is equal to the area of the base times the height of the prism. Therefore, V = B × h = 15.588 cm² × 22 cm = 343.996 cm³.

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c = number of chickens

d = number of ducks

c = 4d because there are 4 times as many chickens as ducks

c = d+72 because there are 72 more chickens

4d = d+72 after using substitution

4d-d = 72

3d = 72

d = 72/3

d = 24

c = 4d = 4*24 = 96  ...or...  c = d+72 = 24+72 = 96

For the entire independent-measures experiment 24 individuals are participated.

Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.

We are given the value  t(22) = 5.30, p < .01

So here degree of freedom (df) is 22 and it is independent so there is two samples,

so df= n₁+n₂-2

⇒ 22 =  n₁+n₂-2

⇒ n₁+n₂ = 24.

Thus for the entire experiment 24 individuals are participated.

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By summing the areas of minor rectangles and triangles, the area of the irregular polygon whose vertices are (- 3, 4), (2, 4), (4, 2), (2, - 3) and (- 3, - 3) is equal to 42 square units.

In this problem we have to determine the area of a irregular polygon, whose calculation is defined as a sum of the areas of triangles and rectangles. To determine the combination of squares and triangles, we need first to plot the vertices and construct the figure on a Cartesian plane.

The area of the irregular figure is:

A = (5) · (7) + 0.5 · 2² + 0.5 · (2) · (5)

A = 35 + 2 + 5

A = 42

By summing the areas of minor rectangles and triangles, the area of the irregular polygon whose vertices are (- 3, 4), (2, 4), (4, 2), (2, - 3) and (- 3, - 3) is equal to 42 square units.

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Answer:

David's

Step-by-step explanation:

David proposed at 8, making him the latest of the four. The question states that Ellie accepted the last of the 4 proposals, so David's must be the one she accepted. All other information in the question is irrelevant.

Answer:

A

7

B

14

Step-by-step explanation:

As

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The equivalent resistance of the circuit is given by:

D. 2 Ω

In this problem, there are two resistors in parallel, with resistances of 4 Ω, hence:

Req = 4 x 4/(4 + 4) = 16/8 = 2 ohms.

Hence option D is correct.

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Answer:

Y - intercept is 1 , slope is 3

Answer: Answer  B, shows a line going from point (0, 60) to point (3, 120).

Step-by-step explanation: i hope this helps you

Answer:

Answer  B, shows a line going from point (0, 60) to point (3, 120).

Step-by-step explanation:

Answer:

I wanna say (x,y)→(-x,-y)

Step-by-step explanation:

Answer:

2*(4y² + 9)

Step-by-step explanation:

    8y² = 2 * 2 * 2 * y²

    18   = 2 * 3 * 3

GCF = 2

8y² + 18 = 2* 4y² + 2*9

             = 2*(4y² + 9)

Answer: The cost is $120

Step-by-step explanation:

Answer:

A=30 is the smallest side

Step-by-step explanation:

A+B+C= 180

30+70+C=180

100+C=180

C=180-100

C=80

Therefore, A=30 is the smallest side of the triangle...

The percentage is the indicating hundredth of the original price of the given swimsuit such that the price of $45.50 is 5% less than the original price will be $47.90.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Let's suppose the original price of the swimsuit was $x.

5% of x → (5/100)x = 0.05x

Price after 5% discount = x - 0.05x = 0.95x

0.95x = 45.50

x =  $47.90

Hence "The original price of the given swimsuit such that the price of $45.50 is 5% less than the original price will be $47.90".

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If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

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Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

the answer is b

Step-by-step explanation:

hoped that helped

The vertex is (3, - 68). The axis of symmetry is x = 3. The maximum value is -56 The parabola opens downward.

The vertex of a quadratic function is the point where the function reaches its minimum or maximum value. It is the "turning point" of the parabola,  The vertex of a quadratic function in the form of y = ax² + bx + c can be found using the formula x = -b/(2a)

Axis of symmetry:

The axis of symmetry is a vertical line that passes through the vertex of a quadratic function, dividing the parabola into two symmetric parts.

The equation of the axis of symmetry can be found using the formula

x = -b/(2a), which is also used to find the x-coordinate of the vertex.

Maximum value:

The maximum value of a quadratic function is the highest point on the parabola if it opens downward, or it is negative infinity if the parabola opens upward. The maximum value occurs at the vertex of the parabola.

Open way:

The term "open way" refers to the direction in which the parabola opens. A parabola that opens upward has a minimum value, while a parabola that opens downward has a maximum value.

Here we have

f(x) = - 2(x + 3)²+ 4

Simplify f(x) as follows

f(x) = - 2(x² + 9 + 6x) + 4  

f(x) = - 2x² - 18 - 12x + 4

f(x) = - 2x² - 12x - 14  

Now find the following as mentioned in the problem  

1. Vertex

Using the formula x = -b/(2a)  

x = -(-12)/(2(-2)) = 3

Now substitute x = 3 in f(x)

y = -2(3)² - 12(3) - 14 = - 68

Therefore, the vertex is (3, - 68).

2. Axis of symmetry

The axis of symmetry is a vertical line that passes through the vertex. In this case, the equation of the axis of symmetry is x = 3.

3. Maximum value

Since the coefficient of x² is negative, the parabola opens downward, and the vertex represents the maximum value of the function.

So the maximum value is -56

4. Open the way  

The parabola opens downward since the coefficient of x² is negative.

Therefore,

The vertex is (3, - 68).

The axis of symmetry is x = 3.

The maximum value is -56

The parabola opens downward

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Answer:

Here is your answer

((10 * 10) ^ 4) ^ 4 =

(100 ^ 4) ^ 4 =

100000000 ^ 4 = 100000000000000000000000000000000

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{((10 * 10) ^ 4) ^ 4}\)

\(\mathsf{= (10 \times 10^4)^4}\)

\(\mathsf{= (10 \times 10 \times 10 \times 10 \times 10)^4}\)

\(\mathsf{= (10 \times 100 \times 100)^4}\)

\(\mathsf{= (10 \times 10,000)^4}\)

\(\mathsf{= (100,000)^4}\)

\(\mathsf{= 100,000^4}\)

\(\mathsf{= 100,000 \times 100,000 \times 100,000 \times 100,000}\)

\(\mathsf{= 10,000,000,000 \times 10,000,000,000}\)

\(\mathsf{= 100,000,000,000,000,000,000}\)

\(\huge\text{Therefore, your answer should be: }\)

\(\huge\boxed{\mathsf{100,000,000,000,000,000,000}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The remainder of the polynomial using the remainder theorem and factor theorem is 6.

Apply the remainder theorem,

When we divide a polynomial

f(x) by (x − c)

f(x) = (x − c)q(x) + r

f(c) = 0 + r

Here,

f(x)=(x−c)q(x)+rf(c)=0+r

and (x−c) is (x−(−2))

Therefore,

f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)

= 16 + 8 − 12 − 8 + 2

= 6

Hence, the remainder of the polynomial using the remainder theorem is 6.

Whereas using the factor theorem and doing synthetic division, we get,  

x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide

the coefficients of the polynomial as follows -

         -2   |   1  -1    -3     4      2

                      -2   6    -6      4

        -----------------------------------------

                    1   -3   3    -2     6

Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.

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The complete question is -

Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)

Answer:

z < ¾

Step-by-step explanation:

Or z < 0.75

...........

Applying the formula of the surface area of a box, the total amount of plastic wrapping needed to cover the box is: 697 cm².

The total surface area of a box is the sum of all the areas of the six faces of the box.

The area of each face can be found by multiplying the length by the width of that face.

The area of each face is given as:

Area = length * width.

To find the amount of plastic wrapping needed to cover the entire box, you first need to find the surface area of the box.

The surface area of the box is given by:

Surface area = 2(19 cm * 14 cm) + 2(19 cm * 1.5 cm) + 2(14 cm * 1.5 cm)

= 2(266 cm²) + 2(28.5 cm²) + 2(21 cm²)

= 532 cm² + 57 cm² + 42 cm²

= 631 cm²

To find the total amount of plastic wrapping needed to cover the box, you need to add the extra 66 cm² needed to allow for the overlapping at the edges.

This gives a total of 631 cm² + 66 cm² = 697 cm² of plastic wrapping needed to cover the box.

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According to the division property of equality, if both sides of an equation are divided by a common real integer that is not zero, the quotients remain equal.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

The four key terminology used in the division process are dividend, divisor, quotient and remainder. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

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