A snail crawled
7/10 mile in 1/7 week. At this rate, how far would the snail crawl in 1 week?

A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

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Answer:

the answer is \(x=\frac{7}{9}\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).

Answer:

Each relation is a function because none of the domain repeats.

Answer:

I will give you three, but the answer is the number that has a 50

Step-by-step explanation:

52

654

7657

50 is the numbers that have a 5 in 10 times the value of the 13,725.

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.

Now the given number is,

13,725

10 times of the number is givens as,

13,725*10

or, 137,250

here place value of 5 in 137,250 is 5 tens or 50.

Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.

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Answer: 113.1

Step-by-step explanation: v=4/3(pie)r^3=4/3•(pie)•3^3= 113.09734

Answer:

The first lower quartile is 15

The median is 25

Step-by-step explanation:

The mass of the CO2 produced IS 630 Kg

Gasoline is a kind of fuel that is composed mostly of isooctane. In most engines, gasoline is widely used hence the demand for the product is high. We know that the combustion of an alkane (of which gasoline is one) would produce carbon dioxide and water according to a balanced reaction equation.

The balanced reaction equation for the combustion of gasoline is shown in the image attached to this answer.

Since  a Puerto Rico hospital uses 3 gallons of gasoline per hour, and there are 24 hours in a day, it the follows that 72 gallons of gasoline are used per day. This 72 gallons is the equivalent of 272.88 L

Now;

Given that the density of gasoline = 748.9 g/L

Mass of gasoline = 748.9 g/L * 272.88 L = 204 Kg

Number of moles of gasoline =  204 * 10^3/114 g/mol = 1789.5 moles

If 2 moles of gasoline produces 16 moles of CO2

1789.5 moles produces  1789.5 moles * 16 moles/2 moles = 14316 moles

Mass of CO2 =  14316 moles * 44 g/mol = 630 Kg

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Answer:

Step by step explanation:

Let x be the distance to run

We can solve this situation by using the Pythagorean theorem, which is represented by the following expression:

Substituting and solving for x:

The area of the rectangular figure with two semicircles on the opposite side is  36.56 sq cm.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A rectangle with two semicircles on two opposite sides.

The length of the rectangle is 6cm and the width of the rectangle is 4cm.

The two given semicircles have a diameter of 4cm seems obvious.

∴ The area of the total figure is an area of the rectangle added to the area of 2 semicircles which makes up to a circle with a radius 2 cm.

∴ (4×6) + π(2)² sq cm.

= 24 + 4π sq cm.

= 24 + 12.56 sq cm.

= 36.56 sq cm.

The area which is not taken up in the rectangle and two circle questions are

(area of the rectangle - 2 times the area of a circle).

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Answer:

60°

Step-by-step explanation:

check the above attachment to verify the answer.

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Step-by-step explanation:

The radius of the orbit is r = 1150 km + 6400 km = 7550 km or

\(r = 7.55×10^6\:\text{m}\)

and it takes 140 minutes to complete 1 revolution. This is the same aa

\(140\:\text{min}×\dfrac{60\:\text{s}}{1\:\text{min}} = 8400\:\text{s}\)

The linear speed of the satellite then is simply equal to the orbital circumference divided by the orbital period T or

\(v = \dfrac{2\pi r}{T}\)

\(\:\;\:\:=\dfrac{2\pi(7.55×10^6\:\text{m})}{8.4×10^3\:\text{s}}\)

\(\:\:\:\:=5647.4\:\text{m/s}\)

In km/min, this is

\(v = \dfrac{2\pi(7550\:\text{km})}{140\:\text{min}} = 338.8\:\text{km/min}\)

The equation x² - 6x = 72 has a solution between 4 and 5

Use a trial and improvement method to find this solution.

There are a number of "improvement" techniques that can be used to improve an estimate of a solution to a polynomial. Some of them use the polynomial itself to form the iterator function.

Iterator

There are a number of ways we can solve the given equation for x. Often, at least one of these will converge when used for improving the estimated value of x.

 x₁ = (\(x^{2}\) -72)/6 . . . . . . . add 6x-72, divide by 6

 x₂ = 72/(x^2 -6) . . . . . . . factor out x and divide by its coefficient

 x₃ = ∛(72 +6x) . . . . . . . add 6x and take the cube root

The first two of these iterators tend to diverge. For x = 4.5, they give ...

 x₁ = (4.5³ -72)/6 = 3.1875

 x₂ = 72/(4.5² -6) = 5.0526

Both of these stray out of the given interval of [4, 5].

However, the third one tends to converge, so can give us a useful approximation in one iteration:

 x₃ = ∛(72 +6×4.5) ≈ ∛99 ≈ 4.6261

Second iteration

Applying this again, we get ...

 x ≈ ∛(72 +6·4.6261) ≈ 4.6378

The approximate root to 1 decimal place is 4.6.

Additional comment

One of the quickest converging iterators is that provided by Newton's method. For finding the solution to f(x) = 0, it uses ...

 x₁ = x -f(x)/f'(x) . . . . . . . where f'(x) is the first derivative

For this problem, we can define ...

 f(x) = \(x^{2}\) -6x -72   ⇒   f'(x) = 3x^2 -6

 x₁ = x -(\(x^{2}\) -6x -72)/(3x^2 -6) = (3\(x^{2}\) -6x -\(x^{2}\) +6x +72)/(3x^2 -6)

 x₁ = (2\(x^{2}\) +72)/(3x^2 -6)

Then for x = 4.5, the "improved" solution is ...

 x₁ = (2(4.5³) +72)/(3(4.5²) -6)) = 254.25/54.75 = 339/73 ≈ 4.6438

A second iteration gives ...

 x ≈ 4.639026 . . . . accurate to 5 decimal places

Hence with this iterator, the number of accurate decimal places tends to double with each iteration.

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The value of side TS is,

⇒ TS = 28

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Additionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK

LY = HJ,

so, LY = 14

And, 42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

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Answer:

1m----------3.28084ft

400m---------xft

x=(400*3.28084)/1

x=1,312.33 ft

Step-by-step explanation:

Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.

Answer:

yes

Step-by-step explanation:

Answer:

10 degree Celsius

Step-by-step explanation:

Answer:

20.

Step-by-step explanation:

60 - 40 = 20

Answer:

There are 5 prime numbers between 40 and 60.

Step-by-step explanation:

A prime number is a number that is ONLY divisible by itself and 1 with no remainder. For example 3 can only be divided by 1 or 3 without a remainder left.

Between 40 and 60 there are 5 prime numbers: 41, 43, 47, 53, and 59.

The equation to show the perimeter of the rectangle is P = 2(2w + 5)

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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First, let's write what we know.

We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.

Then, taking the third line, we can write an inequality:

C < L < G

C < 7 < C + 4

C - 4 < 3 < C

3 < C < 7

If C is greater than 3 and less than 7 and is an integer, than means C is 4, 5, or 6.

Then, we need to find how many students are in the play.

C + L + G

C + 7 + C + 4

2C + 11

So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.

0.3T = 2C + 11

(Divide by 3/10 or multiply by 10/3 on both sides)

T = 20/3 C + 110/3

We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.

T = 20/3 * 4 + 110/3

T = 190/3

T = 20/3 * 5 + 110/3

T = 210/3

T = 70

T = 20/3 * 6 + 110/3

T = 230/3

We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class.  We now need to figure out the number of student in her class.

The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.

Answer:

5 only

Whenever those lines are around a number it means the absolute value, meaning that you get rid of any symbols/signs

so 5 = 5

Answer:

she scored 76 percent in the test

Answer:

1.5lb/ounces

Step-by-step explanation:

Given:

Mass of dry ice Carmen uses  = 12lb

Mass of root beet  = 8ounces

Unknown:

Ratio/Proportional constant for number of pounds to number of ounces of root beer extract  = ?

Solution:

To solve this problem,

    Ratio = \(\frac{number of pounds of dry ice}{Ounce of root beer}\)

    Ratio  = \(\frac{12lb}{8ounces}\)   = 1.5lb/ounces

Simplification of the given expression 4 square root of 72 is equal to 24√2 or 33.94.

As given in the question,

Given expression,

4 square root of 72

Prime factors of 72 are as follow:

72 = 2 × 2 × 2 × 3 × 3

Rewrite them into exponent form we get

72 = 2³ × 3²

Simplification of the given expression 4 square root of 72 is

4√72

= 4 × √ 2³ ×3²

= 4 × √ 2² × 2 × 3²

Calculate the square root

= 4 ×2 ×3 √2

= 24√2

= 24 ×1.414

= 33.94

Therefore, simplification of the given expression 4 square root of 72 is equal to 24√2 or 33.94.

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Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Answer:

a

Step-by-step explanation:

a

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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Answer:

9 years

Step-by-step explanation:
To determine the number of years it will take for the new furnace to pay for itself, we need to compare the cost of running the old furnace for that period with the cost of buying and operating the new furnace during the same time.

Let's calculate the cost of running the old furnace for one year:

Old furnace cost per year = $850

Now, let's calculate the savings in energy costs for the new furnace:

Savings in energy costs per year = 34% of $850

= 0.34 * $850

= $289

The total cost of buying and operating the new furnace for one year is:

New furnace cost per year = Cost of buying the new furnace + Savings in energy costs per year

= $2,500 + $289

= $2,789

To find the number of years it will take for the new furnace to pay for itself, we divide the cost of the new furnace by the annual savings:

Number of years to pay for itself = Cost of buying the new furnace / Annual savings

= $2,500 / $289

≈ 8.65

Since we cannot have a fraction of a year, we can round up to the nearest whole number. Therefore, it will take approximately 9 years for the new furnace to pay for itself.

The true statement is there is no correlation between age and length of stay.

Correlation is a statistical measure used to measure the relationship that exists between two variables. For example, if the older a child is, the longer he would stay at the pool. it can be said that there is a positive correlation.

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