The mass of an oxygen molecule is about 0.000000000000000000000053 g. What is it’s scientific notation?

The value of x in the equation x0.09 = 0.81 is 9

The equation is given as

x0.09 = 0.81

Rewrite the above expression properly

So, we have:

x * 0.09 = 0.81

Divide both sides by 0.09

So, we have:

x = 0.81/0.09

Evaluate

x = 9

Hence, the value of x in the equation x0.09 = 0.81 is 9

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

The time it would take Shirley to mow the lawn alone is 3 hours

From the information given;

Let Shirley's working hours be x

Let Pam's working hours be y

We have  that;

Shirley and Pam work 6 hours together, this is expressed as;

x + y = 6

Given that Pam work 3 hours alone, we have;

y = 3

Substitute the value of y as 3 in the equation

x + 3 = 6

x = 6 - 3

x = 3

Thus, the time it would take Shirley to mow the lawn alone is 3 hours

Learn more about word problems here:

https://brainly.com/question/13818690

#SPJ1

Answer:When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs

Step-by-step explanation:

Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or [tex]\frac{-1}{10}[/tex] in the fraction form

(A) The expression to represent the elevation level of city D, in feet will be :  [tex]D = \frac{1}{4} * [C][/tex]    
(B) The elevation of city D will be -6 feet. The negative here shows that city D is below sea level.

In the question, it is given that city A is 96 feet below sea level, city C is 24 feet below sea level, and the elevation of city D is 1 over 4th of the elevation of C. Since, City A & C are both below sea level their elevation will be negative. So, by these we get elevations:

For City A,  A = -96

      City C,  C = -24

      City D,  [tex]D = \frac{1}{4} *[C][/tex]      ----> Equation (1)

By Equation (1) we get the representation of elevation for City D.

Now, Calculating the elevation of city D, we will put the value of city C in equation (1).

        =>   [tex]D = \frac{1}{4} *[-24][/tex]

        =>   [tex]D = -6\\[/tex]

The negative sign here shows that the elevation is below sea level for city D.

Hence, the expression representing the elevation of city D will be [tex]D = \frac{1}{4} * [C][/tex] and, the elevation of city D will be -6.

To know more about Elevation word problems, Click here :

https://brainly.in/question/24333305

#SPJ1

Answer: 24/25

The answer to the question is 0.96, 0.96 in simplest form is 24/25

The solution to each division problem is;

1) 4

2) 2

3) 3

4) 3

5) 3

1) We are given the expression;

(5 * 3) * ___ = 60

To get the blank answer, we will divide both sides by (5 * 3) to get;

60/(5 * 3) = 4

2) We are given the expression;

4 *( ___ * 9) = 72

To get the blank answer, we will divide both sides by (4 * 9) to get;

72/(4 * 9) = 2

3) We are given the expression;

7 * (2 * ___) = 42

To get the blank answer, we will divide both sides by (7 * 2) to get;

42/(7 * 2) = 3

4) We are given the expression;

(___ * 5) * 5 = 75

To get the blank answer, we will divide both sides by (5 * 5) to get;

75/(5 * 5) = 3

5) We are given the expression;

(3 * 3) * ___ = 27

To get the blank answer, we will divide both sides by (3 * 3) to get;

27/(3 * 3) = 3

Read more about Multiplication of Numbers at; https://brainly.com/question/10873737

#SPJ1

The gradient of the line y = x/3 - 4 is; 1/3

Slope is defined as the gradient of a graph at any point

We are given the equation of the line as;

y = x/3 - 4

Now, the formula for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, from the given equation, we can tell that the gradient which is the slope is 1/3.

Thus, we conclude that the gradient of the line y = x/3 - 4 is; 1/3

Read more about Gradient of Line at; https://brainly.com/question/21727173

#SPJ1

The order of the numbers from greatest to smallest is the cube root of 37, 16 over 5, negative pi, and negative four and two thirds

The numbers we are to order from the greatest to the least are ∛37, 16/5, -4 2/3, -22/7. To ease the problem, all the numbers should be converted to decimal form.

A decimal is a number that consists of integers and non-integers. The integers are separated from the non-integers by a decimal point. An example of a decimal number is 1.23.

When converted to decimals, the number become:

∛37 = 3.33

16/5 = 3.2

-4 2/3 = -14/3 = -4.67

-22/7 = -3.14

The further away a positive number is from zero, the greater the number. The closer a negative number is to zero, the greater the number.

3.33, 3.2, -3.14, -4.67

∛37, 16/5, - 22/7, -4 2/3

To learn more about decimals, please check: https://brainly.com/question/15287678

#SPJ1

Answer:

The person above was correct! gl on ur exam :))

Given that the between 16 and 20 minutes driving times to the campus is uniformly distributed, the mean driving time is 18 minutes

The correct option is therefore;

The time it takes to drive from the apartment to the campus = Between 16 and 20 minutes

The mean of a continuous uniform distribution between two boundaries, a and b is given by the formula;

[tex] \mu = \frac{a+b}{2} [/tex]

The mean amount of time it takes to drive to campus is therefore;

[tex] \mu = \mathbf{\frac{16+20}{2}} = 18 [/tex]

The correct mean driving time is the option;

Learn more about uniform distribution in statistics here;

https://brainly.com/question/24245245

#SPJ1

Answer:

I put the answer in the screenshot i took

Step-by-step explanation:

-lukelaws

The scale used on the map is 1 centimeter to 12.5 kilometers.

When we do a scale drawing of something in scale (like a map, that represents a given location) the dimensions suffer a change of scale.

This means that each unit on the scale drawing not represents the same unit on the original thing.

On this case we have a map where a actual distance of 50 kilometers is represented by a distance of 4cm (this means that each 4cm in the map are equivalent to 50 kilometers in the actual place).

Then the scale will be in cm to km, and to get the scale we can write:

4cm = 50km

Dividing both sides by 4 we get:

1cm = 50km/4 = 12.5 km

Then we conclude that the scale used for the map is 1 centimeter to 12.5 kilometers.

If you want to learn more about scale drawings:

https://brainly.com/question/15891755

#SPJ1

Answer:

x-7

Step-by-step explanation:

Whatever her current age is, she was 7 years younger 7 years ago. Because her current age is undefined, it must remain an equation.

Usando su concepto, se encuentra que hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.

Una probabilidad viene dada por el número de resultados deseados dividido por el número de resultados totales.

En este problema, hay que:

Asi:

p = 3/11 x 2/10 = 3/55

Hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.

Puede-se aprender más sobre probabilidades en https://brainly.com/question/23880391

#SPJ1

she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

To learn more about Combinations

visit : brainly.com/question/15301090

#SPJ9

The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.

Given Line : 5x - y = 1

slope of line = [tex]\frac{-5}{-1}[/tex] = 5

product of slopes of two perpendicular lines is - 1.

m₁ × 5 = -1

slope of required line m₁ = [tex]\frac{-1}{5}[/tex]

Let the equation of the required line be

y = mx + c where m is slope

y = [tex]\frac{-x}{5}[/tex] + c

Area of the triangle formed by a line with intercepts a,b = [tex]\frac{1}{2} ab[/tex]

Here, x-intercept = 5c

y-intercept = c

Area of triangle = [tex]\frac{1}{2} (5c)(c)[/tex]

                          =[tex]\frac{5c^{2} }{2}[/tex]

Given area = 5

⇒ [tex]\frac{5c^{2} }{2}[/tex] = 5

⇒ c² = 2

⇒ c = ±√2

Hence, The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.

To know more about the Equation of a line visit:

https://brainly.com/question/21511618

#SPJ9

Jose chooses variety between 49 and 95 that's a multiple of 2 , 6, and 8. is 72

By victimization the prime factorization methodology we are able to resolve the lowest common multiple of the given numbers. To calculate the lowest common multiple of 2 numbers victimization the prime factorization methodology, we have a tendency to use the steps given below:

Step 1: notice the prime factors of the given numbers by recurrent division methodology.

Prime factorization of 2 is given by

2 = 2 × 1

Prime factorization of 6 is is given by

6 = 2 × 3

Prime factorization of 8 is given by

8 = 2 × 2 × 2

Step 2: Write the numbers in their exponent type. notice the merchandise of solely those prime factors that have the best power.

Prime factorization of 2 is given by

2 = 2

Prime factorization of 6 is is given by

6 = 2 × 3

Prime factorization of 8 is given by

8 = 2³

Step 3: the merchandise of those factors with the best powers is that the lowest common multiple of the given numbers.

LCM will be =  2 × 3 × 2²

LCM of 2,6 and 8 = 24

Multiples of 24 between 49 and 95 is 72

To learn more about factors and multiples,https://brainly.com/question/10749076

#SPJ9

Answer:

22 divided by 2.630= 8 remainder 0.96

Answer: 22/2.630 is 8, remainder is 0.365 or 73/200

Answer: 59.5

Step-by-step explanation: 29 3/4 times 2

I think

Step-by-step explanation:

f(x) = x + 2

g(x) = 3x² - 5

= (f.g)(x)

= (x + 2).(3x² - 5)

= 3x³ - 5x + 6x² - 10

= 3x³ + 6x² - 5x - 10

Joe could arrange the eraser in an array by placing 5 rows of 3 erasers each. The multiplication fact for this representation in an array is given by 5 × 3 .

A group of numbers or objects that will follow a predetermined pattern are referred to as an array in mathematics.

Here Joe has 15 eraser and he placed them on his rectangular bench.

Assuming that the erasers are all uniform , Joe placed them on the bench in an array of 5 rows each containing 3 erasers.

The multiplication fact for this representation in an array is given by

5 × 3 .

To learn more about array visit:

https://brainly.com/question/15683887

#SPJ9

Answer:

yes it is 604892÷4=151,223

To address the issue, we must understand what the converse of a statement implies. The statement's opposite is true if a=bc and a/b=c.

By switching the condition and the result, a conditional statement can be made into its opposite. The converse of a statement is q—->p if the statement is p—->q. In the provided question, the condition is stated as a/b=c, and the answer is a=bc if the condition holds.

We must create the result, the condition, and the condition will be the new result in order to discover the opposite of this assertion. As a result, a=bc will be the condition for converse, and a/b=c will be the outcome if the condition is satisfied.

As a result, if a=bc then a/b=c., the supplied sentence has the opposite meaning.

To learn more about converse from given link

https://brainly.com/question/4421013

#SPJ9

Answer:

Step-by-step explanation:4

Step-by-step explanation:

We do the ones that are in parenthesis first. Find out the exponent. 2 to the power of two is 4. 3-4=-1. Then we would add 5. 5+-1 would result of 4.

Answer:

{2,3,5,6,8}

Step-by-step explanation:

U={1,2,3,4,5,6,7,8}

A{3,4,5,6}

B{1,4,8}

C{2,3,4,5,6}

We are to find

{A' n B} U {A' n C'}

={3,5,6,8}. U. {2}

= {2,3,5,6,8}

The solution interval for x is x ∈ (-1/4 , ∞)

An inequality shows the relationship of a non-equal comparison between two numbers or mathematical expressions.

Here, we are given two inequalities

x/4 > -1 and -4x - 4 < -3

Let us take the first equation

x/4 > -1

⇒ x > 4(-1)

x > -4

Now, the second equation

-4x - 4 < -3

-4x < -3 + 4

-4x < 1

Now since we are dividing both sides by a negative number, that is 4, the sign of the inequality will be reversed,

x > 1/-4

x > -1/4

Thus, we get x > -4 and x > -1/4

This means that all values of x greater than -1/4 will satisfy.

Thus, x ∈ (-1/4 , ∞)

Learn more about inequalities here-

https://brainly.com/question/25275758

#SPJ9