Please need help on this

Answer:

[tex]6.48\times 10^{2}[/tex] millimeters.  

Step-by-step explanation:

We have been given that a leak in a water tank causes the water level to decrease by [tex]3.6\times 10^{-2}[/tex] millimeters each second.

To find the decrease in water level in 5 hours let us multiply water decrease in one second by number of seconds in 5 hours.

[tex]\text{The decrease in water level in the tank}=3.6\times 10^{-2} \times 1.8\times 10^4[/tex]

Using the exponent product rule let us add the exponents with same base (10).

[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{-2+4}[/tex]

[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{2}[/tex]

[tex]\text{The decrease in water level in the tank}=6.48\times 10^{2}[/tex]

Therefore, the water level in tank decreased [tex]6.48\times 10^{2}[/tex] millimeters in 5 hours.

Answer:

3 miles per hour

Step-by-step explanation:

If you walk 1.5 miles in .5 of an hour you take 1.5 and divide it by .5 of an hour and you get the speed you were walking

Answer:

3 miles per hour

Step-by-step explanation:

3 arrays - 1 x 9 (or 9 x 1) and 3 x 3

Hence, the number of arrays = 2 x 2 = 4 = even

First, we pair the different factors of 9.

The different factors of 9 are:

(1, 9) and (3, 3)

For each pair, Mr. Deets can make 2 arrays.

So, the total number of arrays that Mr. Deets can make = 2 x 2 = 4 and hence the number of arrays is even.

Answer:

4 arrays,

Number of arrays is even.

Step-by-step explanation:

∵ The possible pairs of two numbers which give 9 after multiplication,

( 3, 3) and (9, 1),

So, the possible array would be,

3 × 3, 9 × 1

Note : 9 × 1 can also be written as 1 × 9,

According to the question,

For each pair of different factors, there are two arrays,

3 × 3 and 9 × 1 are two arrays with no same factor,

Hence, the total arrays = 2 × 2 = 4

Which is an even number.

Answer:

The answer is 13/7

Step-by-step explanation:

Answer:

13/7

Step-by-step explanation:

Answer:

The area of the rectangle is 9.

Step-by-step explanation:

The first thing to take into account is that the area of a rectangle is obtained by multiplying its length and width.

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

The problem says that the length is [tex]\sqrt[3]{81}[/tex] and the width is [tex]3^{\frac{2}{3}}[/tex]. So, to find the area we must replace the values of length and width into the previous expression.

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

[tex]area=(\sqrt[3]{81})\times (3^{\frac{2}{3}})[/tex]

The previous seems to be difficult but with a little of manipulation we can get a result without a calculator.

First step: the term [tex]\sqrt[3]{81}[/tex] could be written as exponential expression.

[tex]area=(81^{\frac{1}{3}})\times (3^{\frac{2}{3}})[/tex]

Second step: the term [tex]3^{\frac{2}{3}}[/tex] could be written in other way.

[tex]area=(81^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]

Third step: in the same way, the term [tex]81^{\frac{1}{3}}[/tex] could be written in other way taking into account that [tex]81=9^2[/tex].

[tex]area=((9^2)^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]

Forth step: the two terms must have the same base to apply other exponential rules; for example, the base could be 9.

[tex]area=(9^{\frac{2}{3}})\times (9^{\frac{1}{3}})[/tex]

Fifth step: as both terms have the same base, we must add the exponents and simplify the expression.

[tex]area=9^{\frac{2}{3}}\times 9^{\frac{1}{3}}[/tex]

[tex]area=9^{\frac{2}{3}+\frac{1}{3}}[/tex]

[tex]area=9^{\frac{3}{3}}[/tex]

[tex]area=9^1[/tex]

[tex]area=9[/tex]

Thus, the area of the rectangle is 9.

Answer:

$10,200

Step-by-step explanation:

12,000x 0.85 = $10,200

or 12,000 x 0.15 = 1,800

$12,000 - $1,800 - $10,200

Answer:

You ate 8 jellybeans a day

Step-by-step explanation:

60-4=56

56/7=8

The student ate 8 jelly beans per day, calculated by subtracting the number of jelly beans left from the original amount and dividing by the number of days.

To determine how many jelly beans were eaten each day, we can subtract the number of jelly beans left in the bowl from the original amount and then divide by the number of days that have passed.

If there were originally 60 jelly beans and now there are only 4 left, then 60 - 4 jelly beans have been eaten.

Over the course of 7 days, this amount should be divided by 7 to find the daily consumption.

= 60 jelly beans - 4 jelly beans = 56 jelly beans have been eaten in total.

To find the number eaten per day: 56 jelly beans / 7 days

= 8 jelly beans per day.

Therefore, 8 jelly beans were eaten each day.

Answer:

Speed = 9.6 km/s

Distance traveled in 2 seconds = 19.2 km

Step-by-step explanation:

Given that revolving speed of the Saturn around the sun = 6 miles per second

We need to convert this speed into kilometers per second.

Given that 1 mile = 1.6 kilometers so plug that into above speed. We get:

Revolving speed of the Saturn around the sun = (6)(1.6) kilometers per second.

Revolving speed of the Saturn around the sun = 9.6 kilometers per second.

Now to find distance travelled in 2 seconds, we just need too multiply the speed by time.

Distance = (9.6)(2)= 19.2 Kilometers.

Hence final answer is:

Speed = 9.6 km/s

Distance traveled in 2 seconds = 19.2 km

Answer:

Speed:                                          9.6 km/s

Distance traveled in 2 seconds: 19.2 km

Step-by-step explanation:

Speed: S=6 miles per second=6 miles/s

S=(6 miles/s)(1.6 km/1 mile)→S=(6)(1.6) km/s→S=9.6 km/s

S=9.6 km per second, that means in 1 second the distance traveled is 9.6 km, then in 2 seconds the distance traveled is 2(9.6 km)=19.2 km or

S=d/t

Distance: d

Time: t

Replacing the known values:

9.6 km/s=d/(2 s)

Solving for d: Multiplying both sides of the equation by 2 s:

(2 s)(9.6 km/s)=(2 s)d/(2 s)

19.2 km=d

d=19.2 km

Answer: 25%

Step-by-step explanation:

Given : The price of a video game was reduced from $60 to $45.

i.e. Previous price = $60

New price = $45

Reduction in price = Previous price -New price

= $60 - $45 = $15

Then, the percentage was the price of the video game reduced :-

[tex]\dfrac{\text{Reduction in price}}{\text{Previous price}}\times100\\\\=\dfrac{15}{60}\times100=25\%[/tex]

Hence, the percentage was the price of the video game reduced = 25%

25% was the price of the video game reduced.

Step-by-step explanation:

Given :

Previous Price of the video game = $60

Present Price of the video game = $45

Calculation :

Let previous price of the video game be 100% than,

[tex]= \dfrac{45\times 100}{60}[/tex]

=  75%

Reduced Percentage = 100 - 75 = 25%

Therefore,  25% was the price of the video game reduced.

For more information, refer the link given below

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Answer:

C, 17.3

Step-by-step explanation:

Mean is the average of the numbers. To get the mean, add all the numbers up, and divide them by how many numbers there were. Let's do that.

(16.8 + 12.3 + 19 + 17.5 + 18.2 + 17.5)/6

Simplify

101.3/6

Simplify.

~16.88

The closest estimate to that is C, 17.3

The possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.

Given that a rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet, to determine the possible widths of the room the following calculations must be performed:

Rectangle = 70 feet of perimeter = 35 feet of base and height added

Area of a rectangle = base times height

Therefore, the possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.

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Answer:

B. g/cm3

Step-by-step explanation:

Answer:

kilogram

Step-by-step explanation:

The SI unit of kilogram per cubic metre (kg/m3) and the cgs unit of gram per cubic centimetre (g/cm3) are probably the most commonly used units for density.1,000 kg/m3 equals 1 g/cm3. (The cubic centimeter can be alternately called a millilitre or a cc.)

Answer:

x = 1 , y = 1 and z = 0

Step-by-step explanation:

-2x+2y+3z=0    ------(1)

-2x-y+z=-3     --------(2)

2x+3y+3z=5    ---------(3)

To find the values of x,y and z

(3) - (2)⇒ 2y + 4z = 2

y + 2z = 1   --------(4)

(1) - (2)⇒ 3y +2z =3   ---(5)

(5) - (4)⇒ 2y = 2

y = 1

Substituting the value of y in (4) we get z =0

Substituting the value of y and z  in (1) we get x = 1

Therefore x = 1 , y = 1 and z = 0

Answer:

If you want me to solve for b then

b  ≤  − 6

The solution to the given inequality is b≤-6.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -1.2b-5.3≥1.9.

Add 5.3 on both the sides of an inequality, we get

-1.2b≥7.2

Divide -1.2 on both the sides of an inequality, we get

b≤-6

In  interval notation: (-∞,-6]

Therefore, the solution is b≤-6.

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Answer:

When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.

Step-by-step explanation:

Answer:

[tex]y  =Ae^{-kx}[/tex]

would be the exponential decay function for initial population A and decaly rate is -k.

Step-by-step explanation:

Exponential decay occurs when rate of change of population or any other quantity is proportional to the present population or quantity present

i.e. if y is the population

then dy/dx = -ky where k is a positive constant of proportionality

[tex]\frac{dy}{y} =-kdx\\ln y = -kx+C\\y = e^{-kx+C} =Ae^{-kx}[/tex]

256 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

       = 2⁸

16 = 2 * 2 * 2 * 2

   = 2⁴

Answer:

z=5

Step-by-step explanation:

1/4=z/20

20*1/4=z

z=5

Answer:

Step-by-The GCF of 35 and 63 is 7. To find the GCF, we will start by listing the factors of 35 and listing the factors of 63. We see that the factors that are common to both 35 and 63 are 1 and 7, and the greatest of these is 7. Therefore, the greatest common factor of 35 and 63 is 7.step explanation:

The greatest common factor of the numbers 35 and 63 will be 7.

We may use the prime factorization method to get the greatest common factor (GCF) of 35 and 63.

The two numbers are first factored into their prime factors.

While 63 can be written as 3 * 3 * 7, 35 may be written as 5 * 7.

Next, we determine the common prime factors and calculate each factor's lowest exponent.

The common component in this instance is 7. The GCF of 35 and 63 is thus 7.

The greatest number that divides both 35 and 63 without producing a remainder is the GCF.

More about the greatest common factor link is given below.

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The equation that expresses a mathematical rule or relationship is called a formula.

A formula in mathematics is an assertion of a fact, rule, or principle using mathematical symbols. Equations, equalities, identities, inequalities, and asymptotic expressions are a few examples of formulae.

Few examples of formulae are:

(a + b)^2 = a^2 + b^2 + 2ab

(a - b)^2 = a^2 + b^2 - 2ab

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

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Answer:

could you be more specific? link doesn't take me anywhere

Answer:

The answer is:  " [tex]5a^\frac{1}{2}[/tex] "  .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a"  ;  into "exponential form".

Note that "5 square root of a" ;

             or;  " 5 root a " ;

means:    " 5 times the {square root of the variable, "a" };

      or :    " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as:   " [tex]5\sqrt{a}[/tex] " .

_______________________________________________

Note the following property of exponents:

[tex]\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n[/tex] .

_____________________________________________

So;  to write:  " √a "  ;   as an exponent :

______________________________________________

Note:  

" [tex]\sqrt{a}  = \sqrt[2]{a} =   \sqrt[2]{a^1} = (\sqrt[2]{a})^1 =  a^\frac{1}{2}[/tex] " .

_______________________________________________

So:

" [tex]\sqrt{a}  =  a^\frac{1}{2}[/tex] "  ;

_______________________________________________

And:

________________________________________________

" [tex]5\sqrt{a}  =  5a^\frac{1}{2}[/tex] " .

________________________________________________

   →   The answer is:  " [tex]5a^\frac{1}{2}[/tex] " .

________________________________________________

Hope this helps!

   Best wishes in your academic endeavors

           — and within the "Brainly" community!

________________________________________________

Answer:

0.375 or 37.5%

Step-by-step explanation:

To do this you divide 8 by 3 because he has 3 colored socks out of 8 socks.

Answer:17/20

Step-by-step explanation:

100% being a whole.

so she got 85% out of 100%, then 85 out of 100.

[tex]\bf \cfrac{85}{100}\implies \cfrac{5\cdot 17}{5\cdot 20}\implies \cfrac{5}{5}\cdot \cfrac{17}{20}\implies 1\cdot \cfrac{17}{20}\implies \cfrac{17}{20}[/tex]

Answer:

slope of y = -7 is 0

Step-by-step explanation:

y = any number forms a graph of a horizontal line

x = any number forms a graph of a vertical line

For any horizontal line , the slope is always 0

for any vertical line  , the graph is always undefined

So for y =-7 we will get a horizontal line at -7  on t

the slope of horizontal line y=-7 is 0

Answer:

No, there is not enough water.

Step-by-step explanation:

The water bottle holds 24.5  and there is 3/5 of it.

3/5 of 24.5 is 14.7 ounces

You want to fill three glasses with 5 ounces each. Multiply 3 x 5 which gives you 15.

14.7 is less than 15

Subtract 15 from 14.7 and you'll have a negative or not enough so no, it cannot fill three glasses with 5 each.

Answer:

22 residents per square mile is the correct answer.

Step-by-step explanation:

One way to find the answer is the following:

The first number to be considered is 425, which is the total amount of square miles.

The second one is 9,350 that represents the amount of residents.

To find the answer, we have to perform the following calculation:

9350%425=22, which is the correct answer.

Step-by-step explanation:

hahaha have a great weekend and happy birthday to you i q and happy birthday really want to get together

Answer:41% i think i am pretty sure

Step-by-step explanation:

don't have one

6b < 24    divide both sides by 6

b < 4

4b + 12 > 4     subtract 12 from both sides

4b > -8    divide both sides by 4

b > -2

The student's final grade in the class is 87.08%.

Calculating the Student's Final Grade:

Step 1: Calculate Individual Category Scores:

Tests: 90% (average)

Quizzes: (67 + 90 + 44 + 29 + 100 + 100 + 100) / 7 = 78.43%

Homework: 85% (average)

Final Exam: 98%

Step 2: Apply Category Weights:

Tests: 90% * 55% = 49.5%

Quizzes: 78.43% * 30% = 23.53%

Homework: 85% * 5% = 4.25%

Final Exam: 98% * 10% = 9.8%

Step 3: Add Category Scores:

49.5% + 23.53% + 4.25% + 9.8% = 87.08%

Therefore, the student's final grade in the class is 87.08%.