There are 567 calories in one hot dog. If the Carsey family ate 6,237
calories worth of hot dogs, how many hot dogs did they eat?

Step-by-step explanation:

Taking log both sides :

[tex]( \frac{x + y}{4} ) + \tan( ln( \frac{x}{y} ) ) = \sqrt{y} [/tex]

Differentiate both sides w.r.t x :

[tex] \frac{1}{4} + \frac{1}{4} \frac{dy}{dy} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} } = \frac{1}{2 \sqrt{y} } \frac{dy}{dx} [/tex]

Rearranging :

[tex]( \frac{4 - 2 \sqrt{y} }{8 \sqrt{y} }) (\frac{1}{4} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} }) = \frac{dy}{dx} [/tex]

(You can rearrange it further)

Total number of parts = 3 + 2 = 5 parts

[tex]each \: part \: = \frac{(540 \div 5)}{2} \: m[/tex]

[tex] \\ each \: part \: = \frac{108}{2} m \: \\ \\ each \: part \: = 54 \: m[/tex]

Then , the length of this triangle :

[tex]54 \times 3 \: m[/tex]

[tex] = 162 \: m[/tex]

Then , the width of this triangle will be :

[tex]54 \times 2 \: m[/tex]

[tex]108 \: m[/tex]

∴ The length of this rectangle is 162 m and the width of this rectangle is 108 m .

Answer:

649,400

Step-by-step explanation:

Answer:

649,420

Step-by-step explanation:

Answer:

m>6

Step-by-step explanation:

Answer:

(a) Mean

(b) Mean

Step-by-step explanation:

(a) Mean is influenced by two things, occurrence and difference in values. Mode is influenced by one thing only, occurrence. Median is positional in rank order so only indirectly influenced by value.

(b) The mean is the most accurate way of deriving the central tendencies of a group of values, not only because it gives a more precise value as an answer, but also because it takes into account every value in the list.

Answers:

[tex]f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}[/tex]

===============================================

Work Shown:

[tex]f(x) = \sqrt[3]{x}\\\\\\f(g(x)) = \sqrt[3]{g(x)}\\\\\\f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\[/tex]

The idea is to replace every x with g(x). Then you'll plug in the definition of g(x).

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

Similarly,

[tex]g(x) = \frac{x+1}{x^3}\\\\\\g(f(x)) = \frac{f(x)+1}{(f(x))^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{(\sqrt[3]{x})^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}\\\\\\[/tex]

Answer:

7-7 = 0

Step-by-step explanation:

Sandy brought different toys from the market, she divided the seven toys into seven children , now she has a total of zero toys left

Total toys left = 7 - 7

Total toys left = 0

Answer:

10

Step-by-step explanation:

Answer:

10$

Step-by-step explanation:

If she charges 50$ per 5 session then you need to do is

50 ÷ 5 = 10

Why?

Because you can to break it down to one session.

Answer:

  A) is a function

  B) f(x) is greater

  C) x = 12

Step-by-step explanation:

A) Yes, the relation is a function.

A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.

__

B) The table says y=6 for x=6.

  f(6) = 2(6)+16 = 28

f(x) has a greater value for x=6.

__

C) Substituting the given information, we have ...

  40 = 2x +16

  24 = 2x

  12 = x

The value of x is 12 when f(x) is 40.

Answer:

Step-by-step explanation:

The billiard cue is 15 cm away from the table

The billiard cue touches the table at a point 60 cm off the ground

The slope is as per slope formula;

Thea answer is -4

Answer:

-4

Step-by-step explanation:

The foot of the billiard cue is 15 cm away from the table can be represented by the point (15, 0).

The top of the billiard cue touches the table at a point 60 cm off the ground can be represented by the point (0, 60)

The slope formula can be solve with the formula [ y2-y1/x2-x1 ]

60-0/0-15

60/-15

-4

Best of Luck!

Answer:

3.33 Yards

Step-by-step explanation:

divide 10 by 3

Answer:

I would type these in Math-Way, then select Solve the system of equations (or inequalities, I forget which one). (4, -1, 0) would be the answer.

Answer:

100 pennies

Step-by-step explanation:

each stack is 10 pennies. brad has 4 stacks which equal 40 and has 6 more stack which qual 60. 40+60=100

The number of pennies he has is 100 pennies.

Given,

Brad has groups of 10 pennies.

Brad counts 40, but he has 6 more stacks to count.

We need to find how many pennies he has.

If each group has 20 items the total number of items for M groups is:

= M x 20

We multiply the total number of groups with the number of items in each group.

We have,

1 group = 10 pennies

Brad counts 40 and 6 more stacks to go.

This means 4 groups have been counted.

= 4 x 10

= 40 pennies

Now 6 more stacks:

= 6 x 10

= 60 pennies

Now,

Total number of pennies:

= 40 + 60

= 100 pennies

Thus the number of pennies he has is 100 pennies.

Learn more about percentage errors in counting pennies here:

https://brainly.com/question/14277927

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Answer:

The variable "h" represents: The number of hours

The constant 20 represents: the initial rental price

The variable term 12.5h represents: the hourly rental amount

Step-by-step explanation:

Using Pythagoras theorem,

[tex]\sf a^2 + b^2 = c^2[/tex]

Where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the two legs of the triangle, and [tex]\sf c[/tex] is the Hypotenuse.

Putting the given values:

[tex]\sf 5^2 + b^2 = 8^2 \\ \longrightarrow \sf b^2 = 64 - 25 \\ \longrightarrow \sf b^2 = 39 \\ \longrightarrow \sf b = \sqrt{39}\:\:inches[/tex]

Hence, the length of the other leg is,

[tex]\leadsto \underline{\boxed{\mathfrak{\pink{\sqrt{39}\:\:inches}}}}[/tex]

Answer:

13

Step-by-step explanation:

count A up to C

Answer: 819,000

Step-by-step explanation:

182000×9=1638000÷2=819000

Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.

The worth of an object is the price of that object currently. The worth of almost every object in this world is variable (not fixed) with time and use.

In the question, we are said that ten years ago, Lisa bought a hair salon for $182,000. Her business is now worth nine times what she paid.

∴ Worth of the business 10 years ago = $182,000.

Worth of the business now = 9*$182,000 = $1,638,000

We have been informed that Lisa has decided to sell half of her business to a friend. We are asked to find the amount her friend needs to pay, to become her partner.

As we have been told, she is selling half of her business, her friend will need to pay half of her business' worth at the present date.

∴ Her friend pays the amount = 1/2 * worth of the business now

or, Her friend pays the amount = 1/2 * $1,638,000

or, Her friend pays the amount = $819,000.

∴ Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.

Learn more about the worth of an object at

https://brainly.com/question/1877466

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Answer:

3

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

a/b

a = -6

b = -2

Step 2: Substitute and Evaluate

-6/-2

3

Answer:

Distance between Henry and his uncle is 74.25km.

Step-by-step explanation:

Speed of Hawk with wind = 50+5

                                           =55km/hr

Speed of Hawk against wind = 50-5

                                               =45km/hr

we know that ,

        [tex]Distance = speed \times time[/tex]

Let the distance between Henry and uncle is d,

According to the question ,

[tex]\frac{d}{55} + \frac{d}{45} = 3[/tex]

[tex]\frac{9d + 11d}{495} =3[/tex]

[tex]20d = 3\times 495[/tex]

[tex]d =\frac{3\times495}{20}[/tex]

d= 74.25km

Hence , the answer is 74.25km

The relation between speed, time, and distance is used. Then the distance between Henry's uncle from Henry is 74.25 miles.

The distance covered in an hour is called speed. it is a scalar quantity.

The concept of relative speed is used when two or more bodies moving with some speed are considered.

Henry sends his hawk with a message to his uncle.

The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip.

We know the relation

[tex]\rm speed = \dfrac{distance }{time}[/tex]

Let the distance between Henry's uncle from Henry be x.

The time of the trip is during the traveling remains constant. That is

[tex]\rm T = T_1 + T_2\\\\T = \dfrac{x}{v_1} + \dfrac{x}{v_2}[/tex]

The speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather. Then we have

[tex]\rm v_1 = 50 - 5 = 45\\\\v_2 = 50 + 5 = 55[/tex]

Then

[tex]\begin{aligned} \rm \dfrac{x}{45} + \dfrac{x}{55} &= 3\\\\\rm \dfrac{9x + 11x }{495} &= 3\\\\\rm 9x + 11x &= 1485\\\\\rm 20x &= 1485\\\\\rm x &= 74.25 \end{aligned}[/tex]

Thus, the distance between Henry's uncle from Henry is 74.25 miles.

More about the speed link is given below.

https://brainly.com/question/862972

Answer:

125 situps

Step-by-step explanation:

We can use a ratio to solve

25 situp          x situps

---------------  = --------------

12 pushup    60 pushups

Using cross products

25 * 60 = 12x

Divide each side by 12

25*60/12 = 12x/12

125 = x

Answer:

[tex]t=-48[/tex]

Step-by-step explanation:

We have the function:

[tex]d(t)=\frac{t}{2}[/tex]

And we want to find t when:

[tex]d(t)=-24[/tex]

So, let's substitute -24 for our first equation and solve for t:

[tex]-24=\frac{t}{2}[/tex]

Multiply both sides by 2:

[tex]t=-48[/tex]

So, the value of t when d(t)=-24 is -48.

Answer:

Step-by-step explanation:

Answer:

square root of 37

Step-by-step explanation:

you would use the formula (X2-X1) squared + (Y2-Y1) squared

Given:

Height of box = 5 inches

Breadth (width) of box = 4 inches

Length of box = 3 inches

Volume of box = 5 • (3 • 4) cubic inches

To find:

The explanation for the parentheses in the expression 5•(3•4)

Solution:

We know that,

Volume of a box is

[tex]Volume = length \times breadth \times height[/tex]

Area of a rectangle is

[tex]Area = length \times width[/tex]

Now,

Volume of box = 5 • (3 • 4) cubic inches

In this expression, (3 • 4) represents the product of length and with of the box. So, it means represents area of the base of box and after multiplying the base area with height we get the volume of the box.

Therefore, the parentheses in the expression 5•(3•4) represents the base area of the box.

Answer:

y = 7 - 2c

Step-by-step explanation:

Step 1:

2c + y = 7      Equation

Step 2:

y = 7 - 2c    Subtract 2c on both sides

Answer:

y = 7 - 2c

Hope This Helps :)

Answer:

y = 7 - 2c

Step-by-step explanation:

2c + y = 7

=> y = 7 - 2c

Answer:

I dont know what is your question, but I solved this.

Step-by-step explanation:

-18x>-15-21

-18x>-36

x<2

20x>=27+13

20x>=40

x>2

Answer:

It's long but you use Substitution!

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=3750;4x+y=4250

Rewrite equations:

4x+y=4250;2x+3y=3750

Step: Solve 4x+y=4250 for y:

4x+y = 4250

4x+y+−4x = 4250+−4x (Add -4x to both sides)

y = −4x+4250

Step: Substitute −4x+4250 for y in 2x+3y = 3750:

2x+3y=3750

2x+3(−4x+4250)=3750

−10x+12750=3750 (Simplify both sides of the equation)

−10x+12750+−12750=3750+−12750 (Add -12750 to both sides)

−10x =−9000

−10x = −9000 (Divide both sides by -10)

−10          −10

x=900

Step: Substitute 900 for x in y = −4x+4250:

y=−4x+4250

y=(−4)(900)+4250

y=650 (Simplify both sides of the equation)

Answer:

x=900 and y=650