to do this, the researchers select a random sample of of 100 gas stations, and record the pump prices for both regular unleaded and premium unleaded. the average price for the 100 stations is calculated, and used as an estimate for the average price of gasoline for the entire city.

The expression equal to 8 × 10 5 squared is 64 × 10^10

Scientific notation is a mathematical way of expressing numbers that are too large or small to be written in decimal form.

Given the expression;

(8 × 10^ 5)²

expand the bracket

(8)² × (10)^ 5× 2

Find the squares

64 × 10^10

This is expressed as;

64 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

Thus, the expression equal to 8 × 10 5 squared is 64 × 10^10

Learn more about scientific notation here:

https://brainly.com/question/27862246

#SPJ1

Answer: a=2√5

Step-by-step explanation:

We have a right-angled isosceles triangle

Hence, a=2√5

Answer:

631%

Step-by-step explanation:

Answer:

631%

Step-by-step explanation:

Answer:

77 degrees

Step-by-step explanation:

180 - 103

Answer:

We can now solve for B(x2, y2):

-14 = -3 + x2 and 16 = 6 + y2

-11 = x2 ... and... 10 = y2

Therefore B(x2, y2) = (-11, 10)

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

3x-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Based on the dimensions of the semicircle and the rectangle, the approximate area that Ysau paints is  514 ft²

First, find the area of the rectangle:

= 24 x 12

= 288 ft²

The area of the semi-circle is the area of a circle divided by two. The radius is half of the longer side of the rectangle:

= 24 / 2

= 12 ft

Area of the semicircle is:

= (22/7 x 12 x 12) / 2

= 226 ft²

The total approximate area is:

= 226 + 288

= 514 ft²

Find out more on the area of a semi-circle at https://brainly.com/question/15822332

#SPJ1

It would take 7 years for  the initial investment of $200 to become $350

Which calculator is appropriate in this case?

The best calculator which addresses the case at hand is a financial calculator, since it is mandatory we make use of calculator to determine the number of years it takes for initial investment of $200 to grow to $350 with 8% interest compounded continuously, bearing in mind that we need to convert the interest rate to a discrete rate

Rd = (e^(Rc) - 1)

Rd=discrete annual rate=unknown

e=exponential value=2.7182818

Rc=continuous rate=8%

Rd=(2.1782818^(8%))-1

Rd=1.083287067-1

Rd=8.3287067%

I/Y=8.3287067=annual interest rate without the % sign

PMT=0(no annual additional investment)

PV=-200(initial investment)

FV=350(future value of investment)

CPT(press compute)

N=7

Find out more about future value on:https://brainly.com/question/3801142

#SPJ1

Since the graph of g is translated vertically downward by 3 units, the graph of function h is equal to h(x) = 2x² - 10.

In Mathematics, there are different types of transformation and these include the following:

A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.

Since the graph of g is translated vertically downward by 3 units, the graph of function h would be represented by the following expression:

Note: g(x) = 2x² - 7

h(x) = g(x) - 3.

h(x) = 2x² - 7 - 3.

h(x) = 2x² - 10.

Read more on translation here: https://brainly.com/question/16486008

#SPJ1

Values at one, two and three standard deviations are 77.9, 82.8 and 87.7 respectively. Values at -1, -2 and -3 standard deviations are 68.1, 63.2 and 58.3 respectively.

The average grade given = 73

So, the mean, μ = 73

The standard deviation, σ = 4.9

We need to find the 1,2 and 3 standard deviations and -1, -2 and -3 deviations from the mean.

We use the formula z = μ + nσ to find the values at nth deviations.

When n = 1

z = 73 + 1 x 4.9 = 77.9

When n = 2

z = 73 + 2 x 4.9 = 82.8

When n = 3

z = 73 + 3 x 4.9 = 87.7

When n = -1

z = 73 -1 x 4.9 = 68.1

When n = -2

z = 73 - 2 x 4.9 = 63.2

When n = -3

z = 73 - 3 x 4.9 = 58.3

Hence, these are the required values.

Learn more about standard deviations and mean at brainly.com/question/26941429

#SPJ1

Ava and Wyatt will take 4 days to be on the same page of the book.

X-values must be chosen and entered into the equation in order to graph a function. You will obtain a y-value once those values have been entered into the equation. A single point's coordinates are made up of its x and y values.

From the given question we can get:

A = 10 ₊ 20t

W = 30 ₊ 15t

Graph the each function to get the number of days.

A function can only be graphed if X-values are selected and put into the equation. Once those values are introduced into the equation, a y-value will be produced. The values of x and y are the coordinates of a single point.

Hence we get the number of days as 4. and the graph is attached below.

Learn more about Functions here:

brainly.com/question/25638609

#SPJ9

Fraction of members in the club that prefer hot chocolate = [tex]\frac{7}{40}[/tex]

It's Given that :

A sports club has 80 participants.

Senior Members = 25

Junior Members = 18

Adult Members = 80 - (25 + 18) = 80 - 43 = 37

JUNIOR MEMBERS :

Prefers tea = 10

Prefers Coffee = 2

Prefers hot chocolate = 18 - (10 + 2) = 18 - 12 = 6

SENIOR MEMBERS :

Prefers tea = 4

Prefers coffee = 13

Prefers hot chocolate = 25 - (4 + 13) = 25 - 17 = 8

ADULT MEMBERS :

Prefers tea = 28 - (10 + 4) = 28 - 14 = 14

Prefers coffee = 37 - 14 = 23

Prefers hot chocolate = 0 (none)

Calculation of Fraction of members in the club that prefer hot chocolate = 8 + 6 = 14 members out of 80 members

= [tex]\frac{14}{80} = \frac{7}{40}[/tex]

Therefore 7 / 40 of members prefer hot chocolate.

To know more about Fractions, refer to this link :

https://brainly.com/question/21491185?referrer=searchResults

#SPJ1

Answer: 204

Step-by-step explanation:

(14+3)(2 x 6)=

(17)(2 x 6)=

(17)(12)=

17*12=

17*(10+2)=

17*10+17*2=

170+34=204

Answer:204

Step-by-step explanation:

The cargo plane flew approximately 1,760 km.

So, according to the information the equation formed will be:

Now, solve the equation for x:

Rounding off: 8

Therefore, the cargo plane flew approximately 1,760 km.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ1

The points X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below. From the obtained graph ∠XYZ is the obtuse angle.

The given coordinates are X(5,-3), Y(4,-1) and Z(6,-2).

We need to classify ∠XYZ whether it is right, acute, or obtuse.

A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below:

The given points X(5,-3), Y(4,-1) and Z(6,-2) have positive x-coordinate and negative y-coordinate.

In the cartesian plane, the fourth quadrant positive x-coordinate and negative y-coordinate.

So, all points X(5,-3), Y(4,-1) and Z(6,-2) lie in the fourth quadrant.

From the graph, we can see that the two lines make an obtuse angle, which is more than 180° and less than 360°.

From the obtained graph ∠XYZ is the obtuse angle.

To learn more about the obtuse angle visit:

https://brainly.com/question/4022946.

#SPJ1

Answer:

25 miles per gallon

Step-by-step explanation:

Because if 2 gallons is 50 miles then one gallon has to be 25 miles per gallon

When Mai-Lin's target heart rate is 153, then her age is 16 years.

From the information, the The American Heart Association suggests a target heart rate of T=0.75(220-a),

where T = person's target heart rate

a = his or her age.

Therefore, when the heart rate is 153, the age will be:

T = 0.75(220 - a)

153 = 165 - 0.75a

0.75a = 165 - 153

0.75a = 12

Divide

a = 12/0.75

a = 16

The person's age is 16 years.

Learn more about functions in:

brainly.com/question/25638609

#SPJ1

4 liters of pure antifreeze is needed.

What is an linear equation in math?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Let the amount of pure antifreeze required be x + 10 liters. Thus, total solution amount will be

0.30 (10) + 1.00(x) = 0.50 ( x + 10 )

     3.00 + x = 0.50x + 5.00

     0.50x = 2.00

          x = 4

Thus, 4 liters of pure antifreeze is needed.

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

Answer:

21

Step-by-step explanation:

35x18 is 630/30 is 21.

The additive inverse of the expression -3/w is 3/w.

A number is known as the additive inverse of another, if the sum of the two numbers comes out to be zero. For example- given a number 3, its additive inverse will be -3, as 3 + (-3) = 0. The additive inverse of 0 is 0 itself.

Here, we are given an expression -3/w, such that w ≠ 0

Let us assume that the additive inverse of -3/w is x

Then, the sum of -3/w and x must be equal to zero

⇒ -3/w + x = 0

adding 3/w to both sides

⇒ x = 3/w

Thus, the additive inverse of -3/w is 3/w.

Learn more about additive inverse here-

https://brainly.com/question/1548537

#SPJ9

Total graduated commission earned by Macro on sales of $10,500 with the rate of 6% on the first $6500 and 9% on sales over $6500 is equal to $750.

As given in the question,

Macro earns commission rate of 6% for the first $6500

And 9% on sales over $6500

Out of $10,500

For first $6500 Commission =(6500 × 6)/ 100

                                            = $390

For $ (10,500 - 6,500 = 4000) commission = (4000 × 9)/ 100

                                                                   = $360

Total graduated commission on sales of $10,500 = $( 390 + 360)

                                                                             = $750

Therefore, total graduated commission earned by Macro on sales of $10,500 with the rate of 6% on the first $6500 and 9% on sales over $6500 is equal to $750.

Learn more about commission here

brainly.com/question/20987196

#SPJ1

Answer:

20

Step-by-step explanation:

the probability that a random selected student walks to the school is 19.5%, the correct option is D.

We want to find the probability that a random selected student walks to the school.

To find it, we just need to take the quotient between the number of students that walk to the school and the total number of students.

The number of students that walk to the school is:

42 + 36 = 78

The total number of students is:

85 + 77 + 30 + 47 + 42 + 36 + 44 + 39 = 400

Then the probability is:

P = 78/400 = 0.195

To get this in percentage form, we just multiply by 100%.

0.195*100% = 19.5%

The correct option is D.

If you want to learn more about probability:

https://brainly.com/question/25870256

#SPJ1

The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

[tex]\lim_{x \to c } F(x) = L[/tex]

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

[tex]F(x) = -x+8 ,x\leq 0[/tex]

[tex]F(x) = 4x+9 , if x > 0[/tex]

[tex]\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9[/tex]

[tex]\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8[/tex]

[tex]\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)[/tex]

So limit doesn't exist

For limit to exist

[tex]\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)[/tex]

must be satisfied

To learn more about Limit, visit:

https://brainly.com/question/24067291

#SPJ4

The current time is 08 : 09 pm

The given parameters are

Time = 7 : 40 pm

Minutes added = 89 minutes

The current time is calculated as

Current time = Time + Minutes added

So, we have

Current time = 7 : 40 pm + 89 minutes

Evaluate the sum

Current time = 7 : 129 pm

Rewrite properly as

Current time = 08 : 09 pm

Hence, the current time is 08 : 09 pm

Read more about time a:

https://brainly.com/question/24571540

#SPJ1

greatest to smallest :  [tex]= \sqrt[3]{88} ,\sqrt{19} ,\frac{28}{9}[/tex]

Fraction: A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator

Square root: In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = 16

Use this fraction calculator for adding, subtracting, multiplying, and dividing fractions. Answers are fractions in the lowest terms or mixed numbers in reduced form.

Input proper or improper fractions, select the math sign, and click Calculate. This is a fraction calculator with steps shown in the solution.

If you have negative fractions insert a minus sign before the numerator. So if one of your fractions is -6/7, insert -6 in the numerator and 7 in the denominator.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Solution :

[tex]\sqrt[3]{88} \\\sqrt[3]{2.2.2.11} \\2\sqrt[3]{11} \\\sqrt[3]{11} = 2.224\\2.2.224\\4.448 ...(1)\\\\\\\frac{28}{9} = 3.333 ...(2)\\\\ \sqrt{19} = 4.359 ...(3)\\\\Form 1 , 2 & 3 \\\\greatest number to smallest number = 4.448 , 4.359 ,3.333\\= \sqrt[3]{88} ,\sqrt{19} ,\frac{28}{9}[/tex]

More details: brainly.com/question/10354322

#SPJ9

The standard form is  [tex]x^{3}[/tex] + 15[tex]x^{2}[/tex] + 75x + 125.

We have,

f ( x ) =  [tex]x^{2}[/tex]+ 9 x + 20        

g ( x ) = x + 5

Now we will simplify f ( x ) + g ( x ) f ( x ) + g ( x ).

On substituting the value of f ( x ) and g ( x ) in this equation, we get

( [tex]x^{2}[/tex]+ 9 x + 20 ) + ( x + 5) ( [tex]x^{2}[/tex]+ 9 x + 20 ) + ( x + 5)

Now we will simplify this equation,

( [tex]x^{2}[/tex]+ 10 x + 25 ) + ( [tex]x^{3}[/tex] + 9[tex]x^{2}[/tex] + 20x + 5[tex]x^{2}[/tex] + 45x + 100 )

⇒ [tex]x^{3}[/tex] + 15[tex]x^{2}[/tex] + 75x + 125

The standard form is  [tex]x^{3}[/tex] + 15[tex]x^{2}[/tex] + 75x + 125.

To know more about Quadratic Equations refer to the link:

https://brainly.com/question/17039839

#SPJ4

You get 1750 points from the 35 correct moves (35 x 50) and you get -432 points from time taken (144 x -3) therefore you end the game with 1318 points.

1318 Points.