3.
Dr. Brock earns an annual salary of $345,000. If social security tax is 6% of
your income, then how much will Dr. Brock pay each year in social security
tax?

Answer:

A and B are functions

Step-by-step explanation:

for A, none of the x's repeat which makes it a FUNCTION

for B, when it starts with x^2, it will always be a FUNCTION (its a quadratic)

for C, 10 repeats for the x so it is NOT A FUNCTION

Answer:

10/3

Step-by-step explanation:

Keep, change, flip

Keep the first fraction in the equation, change the division symbol to multiplying, and then multiply the first fraction by the reciprocal (opposite) of the second fraction (14/3)

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

Answer: like he dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2 . Note that the open circle on 2 shows that 2 is not a solution to x < 2 .

Step-by-step explanation:

Therefore, the new dimensions are 0.875 inches by 2 inches.

An inch is a unit of measurement commonly used to express length or distance in the United States, Canada, and the United Kingdom. It is defined as exactly 2.54 centimeters, or 1/12th of a foot. The symbol for inch is "in" or double prime ("). The inch is often used to measure small distances, such as the width of a piece of paper or the height of a computer screen.

To apply a scale factor of 1/4 to the original dimensions of 3.5 inches by 8 inches, we can multiply both dimensions by 1/4:

\(New length = 3.5 inches * (1/4) = 0.875 inches\)

\(New width = 8 inches * (1/4) = 2 inches\)

Therefore, the new dimensions are 0.875 inches by 2 inches.

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Answer:

Step-by-step explanation:

63 cm2

hope it helps

you

63 CM answer

The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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Answer:

2 \(ft^{3}\)

Step-by-step explanation:

volume of a cuboid = length * breadth * height

= 2*1*1

=2 \(ft^{3}\)

Answer:

The volume of container is 2 ft ³.

Step-by-step explanation:

We have,

We have Formula, Volume of Cuboid.

\( \small \sf \mapsto \: Volume = length × breadth × height\)

substitute the values

\( \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft\)

multiply the values

\( \small \sf \mapsto \: Volume = 2 \: ft {}^{3} \)

Hence, the volume of container is 2 ft ³.

Answer:

Step-by-step explanation:

Simple interest per year = $17,500 (0.0825) = $1,443.75 Simple interest = $8,662.50 Joseph Harris is considering an investment that pays 6.5 percent annually

Thee flow rate is 0.486 m³/s and the head at the operating point is 8.85 m.

Reservoir B to reservoir A with the help of a pump at C.Diameter = 0.5 M Length = 1 km

Friction coefficient, f, can be taken as 0.02Hpump = 20 - 20Q².

Total head loss, Hl = (f L (V²))/ 2gd

= [(0.02 × 1000 × (V²))/ (2 × 9.81 × 500)]

= 0.204V²

According to the Bernoulli equation, the total head at point A and point C must be the same.

(p/ρg) + z + V²/2g = constant(z is elevation)

Pumping head = head loss + head at point A + friction lossHead loss (Hl) = (f L (V²))/ 2gd

According to the given data; we need to calculate the flow rate and the head at the operating point.

The formula to calculate the head loss is:

Hl = [(f L (V²))/ (2gd)]

Flow rate (Q) = [(2 ΔH) / (√(g × π² × d⁵ × Δp))]

Hpump = 20 - 20Q²

Head loss (Hl) = [(f L (V²))/ (2gd)]

Pumping head = head loss + head at point A + friction Loss

Let Q be the flow rate and H be the head at the operating point.So, pumping head = Head loss + Head at point A + Friction loss.

H = Hpump + Ha + Hl

Here, ΔH = H

= Head at point A - Head at point

B = 25 m

= 25000 mm

∆p = Head loss + Pumping head

(Hl + Hpump) = (20 - 20Q²) + 25000 + [(0.02 × 1000 × (V²))/ (2 × 9.81 × 500)]

Also, we know that, Q = A × V

Where,A = (π/4) × d²A

= (π/4) × (0.5)²

= 0.196 m²

So, Q = 0.196 V

We can replace the value of V in equation (1) and get the value of Q.∆p = 25020 + 0.204V² - 20Q² ----------- (1)

Hpump= 20-20Q²

= 20 - 20(Q/2) × (Q/2)

Hpump = 20 - 5Q²

Therefore, Δp = 25020 + 0.204V² - 5Q²

Substitute V = Q / 0.196 in Δp equation.

Δp = 25020 + 0.204 (Q/0.196)² - 5Q²

On differentiating this equation,

we get;0 = 0.204 × (1/0.196) × (Q/0.196) - 10QdΔp / dQ

= 0.204 / 0.196 Q - 10Q

= 1.041Q - 10Q

At equilibrium, dΔp / dQ = 0.

So, 1.041Q - 10Q = 0

=> Q = 0.486 m³/s

The head at the operating point,H = 20 - 20Q²

= 20 - 20 (0.486 / 2) × (0.486 / 2)

= 8.85 m (approx)

Hence, the flow rate is 0.486 m³/s and the head at the operating point is 8.85 m.

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Answer: Obtuse scalene

Step-by-step explanation: Hope it helps, please mark brainliest and give thanks.

Answer:

obtuse scale

Step-by-step explanation:

Answer: 8.4 gallons

Step-by-step explanation:

Cost of a gallon of gas = $1.85

Cost of gallons purchased = $15.54

If a gallon of gas costs $1.85, to get the number of gallons that one would purchase for $15.54, we have to divide $15.54 by $1.85. This will be:

= $15.54/$1.85

= 8.4

8.4 gallons will be purchased.

Answer:

town b

Step-by-step explanation:

-3.33 degrees is smaller than 2/5 of 1.00 because 2/5 is 0.4 so -3.4 degrees is colder than -3.33.

Answer: B, C, A.

Step-by-step explanation: positive, not negative

Answer: Same

Step-by-step explanation: They are both 120

Answer:

a) b^4×b^5

hope it helps..,

Answer:

If he got 9 out of 15 correct, he got 6 problems incorrect.

6/15 is incorrect

6/15 × 100

40 % is your answer

Answer:

40% are incorrect

Step-by-step explanation:

If 9 are correct then 15-9 = 6

6 are incorrect

6/15 = 2/5

Change to a percent

2/5 *20/20 = 40/100

Percent means out of 100

40% are incorrect

The average amount of error in the regression line's predicted rotten tomato ratings is typically represented by the root mean squared error (RMSE).

The average amount of error in the regression line's predicted rotten tomato ratings is typically described by the root mean squared error (RMSE). RMSE is a common metric used to evaluate the accuracy of a regression model's predictions. It represents the square root of the average squared differences between the predicted values and the actual values.

By calculating the RMSE for the regression line's predicted rotten tomato ratings, you can determine the average amount of error in those predictions.

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Given that EF = 2x, FG = x + 1, and EG = 4, we can use the information provided to find the value of EF.

Since EG = 4, we know that EF + FG = EG.

so, 2x + (x + 1) = 4

Solving for x, we get:

3x + 1 = 4

3x = 3

x = 1

Now we can substitute this value back into the equation for EF:

EF = 2x

EF = 2(1)

EF = 2

So, EF = 2

It is not possible to find the value of FG if the information provided is not correct and it's missing a part of the equation, Therefore I'm unable to find the value of FG.

Answer:

it raised by 15 *C *C

Step-by-step explanation:

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer: 600/20 = 30 miles/gallon 30mi/gal (75 gallons) = 2250 miles

Step-by-step explanation:

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1 that is used to indicate the chances of an event occurring. It can be expressed in either decimal or percentage form. A probability of 0 means the event will not happen, and a probability of 1 means it will happen.

Therefore, valid probabilities are those that fall within the range of 0 and 1, inclusive. Thus, the following are valid probabilities:
b. 0.25
c. 50%
d. 50/49
e. 49/50
g. 1

Option A (110%) is invalid because it is greater than 1 (100%). Option F (1.01) is also invalid because it is slightly greater than 1, and probabilities must always be between 0 and 1 inclusive.  Thus, the valid probabilities are: b, c, d, e, and g.

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Answer:

\sqrt{7}i or -\sqrt{7}i

Step-by-step explanation:

square root both sides of the equation

since you can't sqrt a negative number, you substitute sqrt of -1 to i

Which gets the answer.

Answer:

Which studio charges more for each additional charge? B

Raj wants to take 8 classes each month. Which studio is cheaper for him? A

Step-by-step explanation:

Studio one has no additional charge.

Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.

The integral (23cmy) dxdy over the region V = [0, e] x [0, c] is:
∫∫ (23cmy) dxdy = (23/2)cme^2

To evaluate the integral (23cmy) dxdy over the region V, we need to break it up into two integrals: one with respect to x and one with respect to y.

First, let's evaluate the integral with respect to x:
∫ (23cmy) dx = 23cmyx + C
where C is the constant of integration.

Now, we can plug in the limits of integration for x:
23cmye - 23cmy0 = 23cmye

Next, we integrate this expression with respect to y:
∫ 23cmye dy = (23/2)cmy^2 + C

Again, we plug in the limits of integration for y:
(23/2)cme^2 - (23/2)cm0^2 = (23/2)cme^2

Therefore, the final answer to the integral (23cmy) dxdy over the region V = [0, e] x [0, c] is:
∫∫ (23cmy) dxdy = (23/2)cme^2

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The nth term of the sequence that begins as follows is an = 2 (2)ⁿ⁻¹.

2, 4, 8, 16, 32, and so on are the first numbers in the given series. The pattern reveals that each phrase is created by multiplying the one before it by two.

By simply entering the value of n into the equation, this formula makes it easier to find any term in the sequence.

The given sequence is 2,4,8,16,32

Series a, ar, ar² ar³ ar⁴

a =2, ar =4

To find the value of r = ar/a = r = 4/2 =2

In which r is greater than 0

So, nth term in geometric progression is,

an = arⁿ⁻¹

an = 2 (2)ⁿ⁻¹

Thus, the nth term of the sequence that begins as follows is an = 2 (2)ⁿ⁻¹.

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We have to put the triangular side as the base.

So, the height of the tent is signified by the red line, h.

Shown below:

The volume of the triangular prism is area of triangle x height

Let's find the area of the triangle, A_T:

The height is 10.

The volume is 280.

Substituting into the formula, let's sovle for "h". Shown below: