Tyee was driving down a road and after 2 hours he had traveled 54 miles. At this speed, how many miles could Tyee travel in 8 hours?

Answers

Answer 1

The number of miles that Tyee will travel in 8 hours, given the speed is 216 miles

How to find the miles driven ?

To find the number of miles that Tyree would drive in 8 hours, given the speed he is going, you first need to find the speed Tyree is going which is:

= Number of miles travelled / Number of hours

= 54 / 2

= 27 miles per hour

The number of miles that Tyree would travel in 8 hours is:

= Number of hours of travelling x Speed travelled

= 8 x 27

= 216 miles

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Related Questions

Help meeeee please i need help with this

Answers

Answer: I believe the answer would be y = 3x.

Step-by-step explanation: I like to start by counting the x-values, then the y-values. Since the y-values are increasing by a constant of 3 and the x-values are increasing by 1, that would technically make the equation y = 3x + 0, but you don't need the 0 in this case. So it's just y = 3x. I hope this helps! :)

rewrite x+1/6-y in the values of a,b, and c.

Answers

It's worth noting that this form is known as the standard form of a linear equation, where the variables x and y appear only in the first degree and the constant term is on the right side of the equation.

What is the Quadratic Equation?

A quadratic equation is a type of polynomial equation that has the general form of ax^2 + bx + c = 0, where x is the variable, a, b, and c are constants, and a is not equal to zero. The degree of the equation is two, hence the name "quadratic".

x+1/6-y can be rewritten in terms of a,b, and c by using the following equation:

ax + by + c = 0

To get x+1/6-y in the values of a,b, and c we can rewrite the equation as follow:

a = 1, b = -1, c = -1/6

So, x+1/6-y can be written as:

1x - 1y - 1/6 = 0

or

ax + by + c = 0 where a=1, b=-1 and c=-1/6

It's worth noting that this form is known as the standard form of a linear equation, where the variables x and y appear only in the first degree and the constant term is on the right side of the equation.

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Sophia bought snacks for her team's practice. She bought a bag of popcorn for $1. 98 and a 10-pack of juice bottles. The total cost before tax was $12. 48. Write and solve an equation which can be used to determine j, how much each bottle of juice costs?​

Answers

Each bottle of juice costs $ 1.05 that Sophia bought snacks for her team's practice.

j - The cost of each bottle of juice .

The cost of popcorn - $1.98

The cost of juice 10 * j = 10 j

The total cost = $12.48

So , 1.98 + 10 j = 12.48

10 j = 10.5

j = 1.05

The whole expense a company incurs to produce a specific level of production. On the other hand, the total cost represents the cost of all fixed and variable expenses combined. It displays as TC (total cost). The sum of the two yields the Total Cost (TC). The total cost formula is used to total up the variable and constant expenses associated with providing commodities. Total cost is calculated as follows: (Average Fixed Cost x Average Variable Cost) x Units Produced.

Together, fixed and variable costs make up the overall cost.

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Please answer these questions.. step-by-step

Answers

Refer to the image attached.

Find the measures of the numbered angles.

Answers

Answer: ∠1= 53°

∠3, ∠6, ∠7 are all 127°

∠4,∠5,∠8 are all 53°

Step-by-step explanation: 127° and ∠1 are supplementary angles meaning they add up to 180° You subtract 127° from 180° to get 53°.

∠3 and 127°are vertical which makes them equal and both 127°.

∠4 is vertical to ∠1 which makes them equal and both 53°.

∠5 is corresponding to ∠1 so they are equal and both 53°.

∠6 is corresponding to 127° so they are equal and both 127°.

∠7 is vertical to ∠6 so they are equal and both 127°.

∠8 is vertical to ∠5 so they are equal and both 53°.

Savannah is tiling her kitchen floor. She bought 8 cases of tile for $208. She realizes she bought too much tile and returns 2 unopened cases to the store. What was her final cost for the tile?​

Answers

The final cost for the tile was $208 − $52 = $156.

An example of an algebraic equation?

An algebraic equation is a statement of the equality of two expressions and is calculated by applying the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root to a set of variables. Examples include x3 + 1 and (y4x2 + 2xy - y)/(x - 1) = 12.Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra.

208/8 = x/2

8x = 416

x = 416/8

x = 52

The price for the two unopened cases was $52.

Thus, The final cost for the tile was $208 − $52 = $156.

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what is the standard for of y= 4/9x - 3

Answers

The Standard form of y= 4/9x - 3 is 4x - 9y = 27.

What is standard form of an equation?

The general form of a linear equation, commonly referred to as the standard form, is written as Ax + By = C.

Given equation : y= 4/9x - 3

Taking LCM on both sides

we get, 9y = 4x - 27

Since the standard form of a linear equation is Ax + By = C.

So, we can write it as 4x - 9y = 27

        where A= 4, B = -9 and C= 27.

Hence, the standard form of y= 4/9x - 3 is 4x - 9y = 27.

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A company sells confetti in boxes in the shape of a triangular pyramid. Each box contains

240 cubic centimeters of confetti. If the height of the box is 15 centimeters, which of the

following could be the dimensions of the base?

A. Base, 8 cm; height, 4 cm

B. Base, 4 cm; height, 4 cm

C. Base, 6 cm; height, 8 cm

D. Base, 12 cm; height, 8 cm

Answers

The dimensions of the base would be: base: 12 cm ; height : 8 cm

The correct answer is an option (D)

We know that the formula for the volume of a pyramid is:

V = 1/3 × B × h

where B is the base area of the pyramid

h is the height of the pyramid

The shape of the box is a triangular pyramid.

Each box contains 240 cubic centimeters of confetti.

this means, the volume of the box is V = 240 cubic centimeters

Using above formula of the volume of a pyramid,

V = 1/3 × B × h

here V = 240 cubic centimeters and h = 15 centimeters

240 = 1/3 × B × 15

240 = B × 5

B = 240/5

B = 48 square centimeters

The dimensions of the base must be such that the area of the base would be  48 square centimeters.

Here, a pyramid has triangular base.

Using the formula for the area of triangle,

B = 1/2 × base of triangle × height of triangle

48 = 1/2 × base of triangle × height of triangle

base of triangle × height of triangle = 96

for the dimensions Base, 12 cm; height, 8 cm

12 × 8 = 96

Thus, the dimension of the base: base of triangle = 12 cm and the height of triangle = 8 cm

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one must fly at least 16200 and less than 36000 miles each year. if greg takes a 900 -mile round-trip flight to visit his parents, how many times does greg need to visit his parents each year to attain gold status?

Answers

Greg would need to visit his parents at least 18 times each year to attain gold status. To calculate this, we need to take the minimum flight miles required for gold status (16200) and subtract 900 miles, the round-trip flight distance to visit his parents.

where the value comes from the calculation of 15300 miles. Then, we divide 15300 miles by 900 miles, the round-trip flight distance to visit his parents, and get the answer of 18. Therefore, Greg needs to visit his parents at least 18 times each year to reach gold status.   To be eligible for gold status, one must fly a certain amount of miles within a year.

For the airline company that Greg is using, the minimum flight miles required for gold status is 16200. Since Greg is taking a 900-mile round-trip flight to visit his parents, he needs to make up the difference in order to reach the minimum required flight miles. Thus, he needs to visit his parents at least 18 times each year to ensure that he meets the required flight miles for gold status.

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*PLEASE HELP SOON* Use the laws of exponents to simplify each expression. Drag the tiles to the boxes to form the correct pairs.

Answers

Answer:

First one is 3^16

Second one is 3^10

Third one is 3^2 * 8^2

Forth one is 3^2/8^2

fifth one is 3^8/3^2

Step-by-step explanation:

PLEASE IM BEGGING YOU HELP ME



A company manufactures a special type of sensor, and packs them in boxes of 4 for shipment. Then a new design increases the weight of each sensor by 9 grams. The new package of 4 sensors weighs 76 grams how much did each sensor weigh originally?


Which equation best models the situation here?



4x + 9 = 76



4(x+9) = 76



4(9x) = 76

Answers

If the new design increases the weight of each sensor by 9 grams. The new package of 4 sensors weighs 76 grams , then the equation best models the situation here is (b) 4(x+9) = 76 .

the number of sensor in the boxes is = 4 ;

let the weight of each of sensors be = x ;

So , in new design the weight of each sensor is increased by 9 grams ,

the new weight of sensor becomes = x + 9  ;

the new weight of 4 sensors will be = 4(x + 9) ;

the total weight of new package is = 76 grams ;

So , the equation representing the situation is (b) 4(x+9) = 76  .

The given question is incomplete , the complete question is

A company manufactures a special type of sensor, and packs them in boxes of 4 for shipment. Then a new design increases the weight of each sensor by 9 grams. The new package of 4 sensors weighs 76 grams how much did each sensor weigh originally ?

Which equation best models the situation here ?

(a) 4x + 9 = 76

(b) 4(x+9) = 76

(c) 4(9x) = 76

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Please help! Write a transformation rule that maps the figure to its image. Some might require more than one transformation.
Top triangle: figure
Bottom triangle: image

Answers

The transformation rule that is used to map the figure to the image is;

Shift the figure by 2 units to the right and then reflect the figure about the line y = -1.5

What is the transformation used?

Looking at the figure which is the top triangle, we can see that it is not in line with the image at the bottom and as such, we need to make it to be in vertical alignment by shifting the figure first of all by 2 units to the right.

When the figure is shifted by 2 units to the right, then it will be in alignment with the image at the bottom and as such we can reflect the figure about the line y = -1.5 to achieve the final mapping that is required.

The transformation rule used will be shifting and reflection

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a farmer owns three full sections, four half-sections, and two quarter-sections. how many acres is this?

Answers

The correct option is Option 1 - 3520.

A farmer owns 3520 acres in which three full sections, four half-sections, and two quarter-sections are there.

Three of a farmer's sections were full. Let's say a full section is 640, which is

=3 x 640,

= 1,920.

He had four half portions as well. Divide 640 by two to get 320 (640/2), which is

= 4 X 320

= 1,280.

He had three quarter portions as well. Divide 640 by 4 to create a quarter piece (640/4 = 160)

= 2 X 160

= 320.

Now we have to add all these,

Three full sections       = 1920

Four half-sections        = 1280

Two quarter-sections  = 320

= 1,920 + 1,280 + 320

= 3,520.

Therefore the acres a farmer had is 3520.

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The following question may be like this:

A farmer owns three full sections, four half-sections, and two quarter-sections. How many acres is this?

3520324044404020

Which functions show a positive rate of change? Select all that apply

Answers

Answer:

A and B

Step-by-step explanation:

A:  Has a positive slope which will be a positive rate of change

B:  Will have a positive if you turn it into 7 + 3x instead of subtracting

WILL GIVE BRAINLIEST AND 30 POINTS IF SOMEONE HELPS

Answers

Y = 5/3

This is not as hard as it looks but let me know if you want an explanation! Have a good day!

urrrrrrrrrrrrrrrf mooookoommm

what are the domain and range of F(x)= 2 1 ​ (x+4) 2 −11?​

Answers

The answer is f(x)= 42x +157

which of the following describes the domain of the piecewise function

Answers

Answer:

  (c)  (-∞, -2) ∪ (-2, 1) ∪ (1, ∞)

Step-by-step explanation:

You want the domain of the given piecewise-defined function.

x < 2

For x < 2, the function is ...

  [tex]g(x)=\dfrac{x^2+2x}{x^2+x-2}-\dfrac{x(x+2)}{(x-1)(x+2)}=\dfrac{x}{x-1}\quad x\ne\{-2,1\}[/tex]

Both of these exclusions are in the region x < 2, so both must be excluded from the domain.

x ≥ 2

The log function is defined for all values x > -2, so there are no exclusions in this region.

The domain is (-∞, -2) ∪ (-2, 1) ∪ (1, ∞).

a population of 10 scores has a mean of 50 and a standard deviation of 5. what is the population variance?

Answers

The value of the Population Variance is 25.

Given:

The standard deviation of a population is 5

The mean of a population is 50

The size  of a population is 10

[tex]Variance = (Standard \ deviation)^{2}[/tex]

[tex]Variance = 5^{2}[/tex]

σ = 25.

So, The value of the Population Variance is 25.

Population variance is a metric for gauging how dispersed a set of data points is. It calculates the typical squared deviation from the mean. Therefore, the variance will be smaller if all of the data points are close to the mean than it will be if the data points are dispersed widely.

We are aware that the population variance describes the distribution of data points within a population by averaging the squared distances between each data point and the mean.

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Austin must choose a number between 61 and 107 that is a multiple 4, 5 , of and 10 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.
helppppppppppp

Answers

The numbers that Austin could choose from are: 80, 100 which have 4, 5, and 10 as their multiples

How to find the numbers Austin must choose

The numbers between 61 and 107 are:

62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106

we will observe that only 70, 80, 90 and 100 have 10 and 5 as their multiple, amongst which, only 80 and 100 have 4 as their multiple.

Therefore, Austin must choose only the two numbers 80 and 100 which have 4, 5, and 10 as their multiples.

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The ticket price to a concert is $65 plus an additional (d) dollars service fee per ticket. The total cost for four people to attend the concert is $308. Calculate the cost of the service fee charged for each ticket.
SHOW HOW YOU DID IT PLEASE!!!

Answers

Answer: d=12

Step-by-step explanation:

4(65)+ 4d=308

multiply 65 by 4

260+4d=308

move the constant to the right

4d=308-260

calculate

4d=48

divide both sides

d=12

2434base6 divided by 42 base 6

Answers

The answer for the given senary expressions is 35₆.

What are senary numbers?

A senary numeral system (also known as base-6, heximal, or seximal) has six as its base. It has been adopted independently by a small number of cultures. Like decimal, it is a semiprime, though it is unique as the product of the only two consecutive numbers that are both prime (2 and 3). As six is a superior highly composite number, many of the arguments made in favor of the duodecimal system also apply to senary.

Now,

To find 2434₆/42₆

2434\(_6\) to base 10

2 \(\times\) 6\(^3\) + 4 \(\times\) 6\(^2\) + 3 \(\times\) 6\(^1\) + 4 \(\times\) 6\(^0\)

2 \(\times\) 216 + 4 \(\times\) 36 + 3 \(\times\) 6 + 4 \(\times\) 1

432 + 144 + 18 + 4 = 598

And: 42\(_6\) to base 10

4 \(\times\) 6\(^1\) + 2 \(\times\) 6\(^0\)

4 \(\times\) 6 + 2 \(\times\) 1

24 + 2 = 26

Then divide 598 by 26

= 23

Then convert 23\(_{10}\) to base 6

i.e. 35₆

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Two boxes need to be wrapped in paper (with no overlap). Both boxes are in the shape of right rectangular prisms.

Box A measures 1.2 feet high, 0.8 feet long, and 1 foot wide. Box B measures 1.6 feet high, 0.5 feet long and 0.8 feet wide.

The wrapping paper costs $6.79 per 80 square feet.

What is the cost of wrapping both boxes?

Enter your answer in the box.

Answers

The cost of wrapping both boxes is $0.92.

What is prism?

In three-dimensional space, a prism is a polyhedron where two ends are similar.

Given:

Two boxes need to be wrapped in paper (with no overlap).

Both boxes are in the shape of right rectangular prisms.

Box A measures 1.2 feet high, 0.8 feet long, and 1 foot wide.

The surface area of the rectangular prism A,

= 2(1.2 × 0.8 + 1 × 0.8 + 1 × 1.2)

= 5.92 square feet.

Box B measures 1.6 feet high, 0.5 feet long and 0.8 feet wide.

The surface area of the rectangular prism A,

= 2(1.6 × 0.5 + 0.5 × 0.8 + 0.8 × 1.6)

= 4.96 square feet.

The wrapping paper costs $6.79 per 80 square feet.

That means,

unit rate = 6.79 / 80 = $0.08 per square feet.

The cost of wrapping both boxes,

= 5.92 x 0.08 + 4.96 x 0.08

= $0.92

Therefore, the cost is $0.92.

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An electric pole 15 m high is supported by a wire fixing its one end on the ground at some distance from the pole. If the wire joining the top of the pole is inclined to the ground at an angle of 60°, find the length of the wire.​

Answers

Answer: The length of the wire is 17 meters.

Step-by-step explanation:      

Given

         length of the pole : 15 m

        angle inclined by the wire to the  pole from ground :60 deg

        let the length of wire : x

        therefore

                       sin (angle)  = opposite/hypothesis

                       sin 60 = 15/x

                        √3/2 = 15/x

                         x= 2*15/√3

                         x = 30/√3

                         x = 17.320

the length of the wire is :17 m.

         

Solve this system of equations by graphing. First graph the equations, and then type the solution.
3x-y=-6
y=x+4
The solution is (_,_)

Answers

By finding the intercept between the graphs of the equations, we can see that the solution is (-1, 3)

How to solve the system of equations?

Here we have a system of linear equations:

3x - y = -6

y = x + 4

To solve the system of equations graphically, w ejust need to graph both equations on the same coordinate axis and find the point where the lines do intercept.

The graph of the system of equations can be seen on the image at the end.

There you can see that the lines intercept at the point (-1, 3), so that is the solution of the system of equations.

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It rained 0. 5 inches on Tuesday and 0. 2 inches on Wednesday.

It was warmer on Thursday than it was on Friday.

The humidity was 15% for 3 days of the week.

The lowest temperature overnight was 68∘F.

Which quantity is a variable?



the temperature on Friday



the lowest overnight temperature



the amount of rain on Wednesday


the number of days with humidity of 15%the number of days with humidity of 15 percent

Answers

The quantity is a variable is the lowest overnight temperature

In math the term variable is defined as variable is an alphabet which is used to represent the unknown number and this one represents the value.

Here we have know that it rained 0. 5 inches on Tuesday and 0. 2 inches on Wednesday.

And the climate was warmer on Thursday than it was on Friday.

Where the humidity was 15% for 3 days of the week and thus the lowest temperature overnight was 68∘F.

Here we have identified that the temperature is continually falling and it will lead the lowest temperature overnight.

Then the correct option is (c).

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Mia borrowed $5000 from her grandparents to purchase her first car. Her grandparents charge her 1.75% simple Interest. How much interest will Mia pay her grandparents after 6 years

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 1.75\%\to \frac{1.75}{100}\dotfill &0.0175\\ t=years\dotfill &6 \end{cases} \\\\\\ I = (5000)(0.0175)(6) \implies I = 525[/tex]

Johan drives his car to a holiday destination 600

kilometers away. He drives a distance of 90 km every

hour. Which equation shows how far (s) he is from his

destination at the end of 6 hours?

A. (600 – 90) x 6 = s

B. 600 + (90 x 6) = s

C. 600 – (90 X 6) :

= S

D. 600 – (90 + 6) = s

Answers

The correct equation that shows how far (s) Johan is from his destination at the end of 6 hours is option C. 600 - (90 X 6) = s

Johan is driving 90 kilometers every hour and he has been driving for 6 hours, so the distance covered by him is 90*6 = 540 kilometers.

The distance he is away from his destination is the total distance to the destination minus the distance he has covered so far.

That is 600 - 540 = 60 kilometers

So, the equation that shows the distance he is from his destination is -

600 - (90 X 6) = s

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PLEASE HELP ASAP


The tide at an Eastern seaport is at its maximum at 3 a. M. High tide is 24 ft deep. Low tide occurs at 9 a. M. With a depth of 4 ft. The water depths can be modeled by a sinusoidal function. Allow x=0 to represent midnight

Answers

The water depths can be modeled by a sinusoidal function. So the value of period is 18 hours, amplitude is 14.5, maximum is 24, equation of the midline is 10, and minimum is -4.

The tide at an Eastern seaport is at its maximum at 3 a.m.

High tide is 24 ft deep.

Low tide occurs at 9 a.m. with a depth of 4 ft.

We have to determine the period.

Period = time between two consecutive high tides

Period = 2 × Time between high and low tide

Time between 3 a.m. and 9 a.m. is 6 hours.

Period = 2 × 6

Period = 18 hours

We have to determine the Amplitude.

Amplitude = (High - Low)/2

Amplitude = (24 - (-5))/2

Amplitude = (24 + 5)/2

Amplitude = 29/2

Amplitude = 14.5

We have to determine the Maximum.

The maximum tide is 24.

We have to determine the Equation of the midline.

Equation of the midline = (max + min)/2

Equation of the midline = {24 + (-4)}/2

Equation of the midline = (24 - 4)/2

Equation of the midline = 20/2

Equation of the midline = 10

We have to determine the minimum.

The minimum tide is -4.

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The complete question is:

The tide at an Eastern seaport is at its maximum at 3 a.m. High tide is 24 ft deep. Low tide occurs at 9 a.m. with a depth of 4 ft. The water depths can be modeled by a sinusoidal function. Allow x=0 to represent midnight

Find the following and make sure to show work for the midline and amplitude:

period=

Amplitude=

Maximum=

Equation of the midline:

minimum:

Brody was comparing the price of pineapple juice at two stores. The equation y=0.7x represents what Brody would pay in dollars and cents, y for x bottles of pineapple juice at store A. The table below represents what Brody would pay in dollars and cents, y, for x bottles of pineapple juice at store B.

Answers

At store B, they charge $0.09 more for pineapple juice than store A.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, Brody was comparing the price of pineapple juice at two stores.

Equation to represent the cost of pineapple juice at store A is

y=0.7x

Equation to represent the cost of pineapple juice at store B is

From the table, we have (9, 7.11) and (13, 10.27)

Now, slope m= (10.27-7.11)/(13-9)

= 3.16/4

= 0.79

Substitute m=0.79 and (x, y)=(9, 7.11) in y=mx+c, we get

7.11=0.79(9)+c

7.11=7.11+c

c=0

So, the equation is y=0.79x

Cost of 1 bottle juice at store A is $0.7 and Cost of 1 bottle juice at store B is $0.79

Difference in cost =0.79-0.7=$0.09

Therefore, at store B, they charge $0.09 more for pineapple juice than store A.

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nine more than the product of 9 and a number

Answers

Answer:

9 + 9n

Step-by-step explanation:

let 'n' = 'a number'

'more than' implies addition

'product' implies multiplication

9 + 9n

Answer: 9+(1)4=9+r

Step-by-step explanation:

Other Questions
prompt: evaluate the extent to which indian ocean trade changed between 600 and 1750. saq The price of the computer was $52 on the day he bought it. The next day it had been marked up by 40%. What was the new price after the sale? Why do you think that the yongle emperors attempt to reinstate the traditional tributary system was abandoned? what are investment returns? what is the return on an investment that costs $1,000 and is sold after 1 year for $1,060? 3. Write the equation of a line in slope-intercept form that passes through the following points: (3,-8) and (-12,2). the nurse is caring for a patient from another country who does not speak english. which additional factor may influence the normal flow of communication related to cultural differences a small minority of anti-federalists believed that the constitution was a class-based document meant only to secure the privileges of the authors. why did they feel this way? The part of the reader that consists of a laser, optical filters, light-collecting optics, and beam-shaping devices that is designed to project and guide a precisely controlled laser beam back and forth across the plate as the plate moves through the scan area is the Group of answer choices containing an outbreak by rapidly isolating and vaccinating people who have had close, face-to-face contact with the victim is known as buying a television based on its brand name, or purchasing a product based on a celebrity endorsement are examples of: buying a television based on its brand name, or purchasing a product based on a celebrity endorsement are examples of: systematic processing parallel processing central processing heuristic processing Jack pin a fair ix-ided pinner 240 time. What i the probability that he will core more than 45 ixe? Give your anwer to 2 d.p. The circle graph shows the results of a national survey on the most popular afternoon activities of seventh graders. What percent of those students surveyed said that their favorite afternoon activity is playing video games? the building block of all elements and the smallest component into which an element can be divided is called ? the ratio of the length to the width to the height of a rectangular solid is 10 to 4 to 1, and the total surface area of the rectangular solid is 972. what is the volume of the rectangular solid? under the uniform securities act, if an investment adviser wishes to take custody of customer funds or securities, it must: a notify each customer of the location where the funds are held no later than on the first account statement sent to the customer b submit to an annual audit conducted on a random basis by the administrator c perform a quarterly physical count of securities and funds held and reconciliation with the adviser's records d hold the assets in either a bank or brokerage account where the adviser is the trustee acting for the benefit of the customer Mia is writing a literary argument about James Weldon Johnsons Lift Every Voice and Sing. This is her thesis:The poem conveys the idea that it is worth enduring hardships to gain freedom.Which sentence best supports Mias claim? Asking whether beauty is subjective is a question within which of the following branches of philosophy? suppose a hospital writes checks of $100,000 per day and it takes, on average, seven days for those to be received and to clear the banking system. furthermore, the hospital receives $120,000 in checks daily, which take four days to be deposited and credited. what is the hospital's float? why are black swan events such as accounting scandals and the global financial crisis perceived as caused by cheap credit and subprime mortgages offered by financial institutions, bad for business? which of the following are the variable costs relative to number of units produced and sold? (check all that apply.) multiple select question. materials used in production commissions based on sales insurance premiums property tax