What is the slope of the line?

Check the picture below.

Answer:

3ab²(a + 5b)

Step-by-step explanation:

3a²b² + 15ab³ ← factor out 3ab² from each term )

= 3ab²(a + 5b)

His electric bill for the month of April is $76.4

The given parameters are

April 1 = 7,329 kw-hr.

May 1 = 8,284 kw-hr

Rate = $.08 per kw-hr

His electric bill for the month of April is calculated as

Bill = (May 1 - April 1) * Rate

So, we have

Bill = (8,284 - 7,329) * .08

Evaluate

Bill = 76.4

Hence, his electric bill for the month of April is $76.4

Read more about electric bill at

https://brainly.com/question/14277272

#SPJ1

Answer:

19

Step-by-step explanation:

PEMDAS is your bff here:

5 + 2[(4 + 2)^2 – (3^3 + 2)]

Do the parenthesis first (yes i do solve for 3^3 and add the 2 to it, it makes it quicker)

5 + 2[(6)^2 - 29)]

now do exponents

5 + 2 (36 - 29)

subtraction

5 + 2(7)

multiple cation

5 + 14

And add those together to get 19

we get that 6.255 × 10¹⁰  larger than 1.5 × 10⁸ by 417 times.

We are given two expressions:

6.255 × 10¹⁰ and 1.5 × 10⁸

We need to tell that how much times is 6.255 × 10¹⁰  larger than 1.5 × 10⁸.

We will do this with the help of division.

So, we get that:

= 6.255 × 10¹⁰  ÷ 1.5 × 10⁸

= 6.255 × 10¹⁰⁻⁸  ÷ 1.5

= 6.255 × 10²  ÷ 1.5

= 625.5 ÷ 1.5

= 417

Therefore, we get that 6.255 × 10¹⁰  larger than 1.5 × 10⁸ by 417 times.

Learn more about division here:

https://brainly.com/question/25289437

#SPJ9

Answer

1.168 ÷ 8= 0.146

2.246÷12= 0.1871

3.4328÷4=0.8582

4.729÷9=0.5254

5.8415÷5​​​​=1.168

Step-by-step explanation:

The required rate of return for Mercury Inc., assuming that investors expect a 5% rate of inflation in the future is 18%.

Real risk free rate = 3%

Inflation Premium = 5%

Nominal risk free rate Rf = Real risk free rate + Inflation Premium = 3% + 5% = 8%

Market risk premium (Rm –Rf) = 5%

Beta = 2

As per CAPM, required rate of return:

= Rf + beta * (Rm – Rf)

= 8% + 2 * 5%

= 8% + 10%

= 18%

Learn more about rate of return on:

https://brainly.com/question/24301559

#SPJ1

According to the given statement the  fraction of pizza did Billy eat for a snack = 1/12

A fraction is a subset of a bigger whole. In arithmetic, the number is expressed as a quotient, which represents the numerator divided by that of the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in both the numerator and the denominator.

A fraction, often known as a fractional number, is used to represent a portion of a whole. Fractions are made up of two numbers: a numerator (the number above the line) as well as a denominator (which is below the line). The denominator is the number of equal pieces that anything is divided into.

Billy had = 2/3 of pizza

later he ate = 1/4

the pizza did Billy eat for a snack =

Now ,

total size of pizza be  = 1

Billy had = 2/3 of pizza

later he ate = 1/4

the pizza did Billy eat for a snack = total size of pizza -(2/3 of pizza + later he ate)

                                                        = 1 - (2/3 + 1/4)

                                                        = 1 - (11/12)

                                                        = 1/12

the pizza did Billy eat for a snack = 1/12

To know more about fraction visit:

https://brainly.com/question/21327447

#SPJ9

Answer:

PA BRAINLEST NALANG PO HEHE

Answer:

1) 8

2) 3

3) 4

4) 5

5) 6

6) 2

7) 1

8) 18

Step-by-step explanation:

whenever you see a letter, just change that letter with whatever the guide says, for example, 6+c would be 6+2,  which is 8. Another example is ab, which would be 6 times 3 because a is 6 and b is three

The scatter plot shows negative correlation because as the plotted values of x increase, the values of y generally decrease.

When two variables are said to have negative correlation, it means that they move in the opposite direction from each other. When one variable is increasing, the other variable is decreasing.

The values of x and y in order of x are:

x  3     4    5   6   7   8   9  

y   6     7    5   4   3    4   2

As shown above, when x increases, y generally decreases and when x decreases, y generally increases. This is therefore a negative correlation relationship.

Find out more on negative correlation at https://brainly.com/question/16913516

#SPJ1

The solution to simplifying the given expression using laws of exponents is; B: 1 over quantity 27 times a raised to the sixth power times b raised to the twelfth power end quantity

Some of the Laws of Exponents are;

We want to simplify a raised to the negative two power over quantity 3 times b raised to the fourth power end quantity all cubed. This is expressed as;

(a⁻²/3b⁴)³

Using the second law of exponent quoted above, we have;

(a⁻²*³)/(3³b⁴*³) = a⁻⁶/27b¹² = 1/a⁶27b¹²

Read more about Laws of Exponents at; https://brainly.com/question/11761858

#SPJ1

Answer:

$363

Step-by-step explanation:

i mean with what your given it 18.15 x 20 x could be . for others

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

Heyo! Your explanation is below, if necessary.

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

If it's 51 miles per hour, simply multiply the distance by the number of hours.

51 x 6 = 306

51 x 55/60 = 46.75

Now, add the products.

306 + 46.75 = 352.75

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

Have a great day/night!

~pinetreee :)

Answer:

Step-by-step explanation:

[tex]\displaystyle\\(cosec \alpha -cot\alpha )^2=\\\\(\frac{1}{sin\alpha } -\frac{cos\alpha }{sin\alpha })^2 =\\\\(\frac{1-cos\alpha }{sin\alpha } )^2=\\\\\frac{(1-cos\alpha)^2 }{sin^2\alpha }=\\\\ \frac{(1-cos\alpha )^2}{1-cos^2\alpha } =\\\\\frac{(1-cos\alpha )^2}{(1+cos\alpha )(1-cos\alpha )} =\\\\\frac{1-cos\alpha }{1+cos\alpha }[/tex]

The area of the circle is approximately 78.5 square meters

The area of a shape is the amount of space on the shape

The given parameters are:

Radius = 5

The area of a circle is calculated using

A = pi r^2

In this case

pi = 3.14

So, we have:

A = 3.14 * 5^2

Evaluate the product

A = 78.5

Hence, the area of the circle is approximately 78.5 square meters

Read more about area at:

brainly.com/question/25292087

#SPJ1

Possible question

What is the area of a circle for model 3 where the radius is 5 meters.

Use pi approx3.14 . The area of the circle is approximately square meters

Enter only the number.

The point t on the unit circle is ( -1/2, √3 /2 ).

The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces. Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.

Consider the point t = - 4π/3 on the circle.

Now, the reference angle is π / 3.

- 4π / 3 is in quadrant 2 where the value of cosine is negative and sine is positive.

Therefore, the point t(x,y) will be:

( x, y ) = ( - cos ( π / 3 ), sin ( π / 3 ) )

( x, y ) = ( - 1/ 2 , (√3 )/ 2 )

Learn more about circle here:

https://brainly.com/question/8952990

#SPJ9

Answer:

Step-by-step explanation:

1) distribute the signs to the brackets

        2x^2 + 5 + 3x^2 - 5

2) solve

      5x^2 + 0

Hopefully, it's correct and helpful

The perimeter CDE of the triangle is solved to be 9.66 (to the nearest hundredth)

How to find the perimeter of CDE

Given data

C ( 4, -1 )

D ( 4, -5)

E ( 2, -3 )

perimeter of CDE = CD + CE + DE

length = √(x2 - x1)^2 + (y2 - y1)^2

using C ( 4, -1 ) and D ( 2, -3 )

CD = √(4 - 4)^2 + (-1+5)^2

CD = √(4)^2

CD = 4

using C ( 4, -1 ) and E ( 2, -3 )

CE = √(4 - 2)^2 + (-1+3)^2

CE = √(2)^2 + (2)^2

CE = √8

using D ( 4, -5) and E ( 2, -3 )

CD = √(4 - 2)^2 + (-5 + 3)^2

CD = √(2)^2 + (-2)^2

CD = √8

the perimeter =  4 + √8 + √8

the perimeter =  4 + √8 + √8

the perimeter =  9.6568

the perimeter =  9.66 (to the nearest hundredth)

Read more on perimeter here: https://brainly.com/question/19819849

#SPJ1

The net change between the given values of the variable is;  - 3x² - 6xh - 3h² + 23

We are given the function;

f(x) = 5 - 3x²

x = 3

x = 3 + h

The net change is just looking for the difference between f(3) and f(3 + h). Thus, we will evaluate the function at x = 3 and x = 3 + h and then calculate f(3 + h) - f(3).

f(3 + h) = 5 - 3(x + h)²

= 5 - 3x² - 6xh - 3h²

f(3) = 5 - 3(3)²

f(3) = 5 - 27

f(3) = -18

Net Change = f(3 + h) - f(3)

=  5 - 3x² - 6xh - 3h² + 18

= - 3x² - 6xh - 3h² + 23

Read more about Net change of Function at; https://brainly.com/question/24557112

#SPJ1

Answer:

Table A

Step-by-step explanation:

Note that the curve flattens out between 4 and 6 s

So the average speed is 0( the train is standing still) in the time interval 4-6 s

From the tables we can see that (A) and (D) are the only two tables that have average speed of 0 for 4-6 second interval. So let's eliminate the other two(B and C) and focus on these two

Looking at tables A and D we can see that the average speed in the 0-2 interval is 1.0 for both

So let's focus on the only entry where the tables show different values ie the interval 2-4 = 2s)

Looking at the graph we can see that in the interval 2-4, the train travels from distance of 2m to distance of 3m. In other words it covers a distance of 1 meter ( 3 - 2 ) in 2 seconds

Therefore average speed at this time interval = 1m/2sec = 0.5 m/s

So table A shows the correct average speed

The correct graph representation of the given inequality is,

⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

The written expression is given as,

0.5 is greater than the product of −2.5 and a number.

Let a number is x.

Then, The given expression is written as;

0.5 > -2.5x

Now, We can solve as;

0.5 > -2.5x

Multiply by -1 we get;

- 0.5 < 2.5x

-0.2 < x

Hence, The graph of inequality is;

⇒ Number line with Open circle on point negative 0.2 and arrow shaded to the right.

So, The correct graph representation of the given inequality is,

⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.

Learn more about the inequality visit:

https://brainly.com/question/26158293

#SPJ1

Answer:

A

Step-by-step explanation:

which one do you need answered look it up

Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.

Let us define x to be the cost of the meal

such that we would have

x  + 22%x =  21.96

= x + 0.22x = 21.96

1.22x = 21.96

We would have to divide through the equation that we have by 1.22

x = 21.96 / 1.22

x = 18

X is the cost for the meal that  that Frances ate before she gave the tip that she did to the waiter.

Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.

Read more on cost here:

https://brainly.com/question/2021001

#SPJ1

The missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.

_______________________________

It is given that Elsa used the multiplication table below to write ratios that are equivalent to 12-4 and one number is missing from the given ratios, we need to find that missing number.

Now, first of all let us understand what are equivalent ratios;

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.

Furthermore, in the given question we are given one ratio that is;

=> 12:4 which can also be written as,

=> 3:1

Now, let us assume that the other ratio is x:y than;

=> x:y

So, let us compare both the ratios as they are equivalent ratios;

=> x:y = 3:1

To calculate the other ratio, we need to divide it by 12 so that we get the equivalent ratio;

=> x/12 = 12/4

=> x/12 = 3

=> x = 12 × 3

=> x = 36

So,

=> 36/12 = 12/4

=> 3/1 = 3/1

Therefore, the missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.

To know more about this topic, click here:

https://brainly.com/question/16799371

#SPJ9

Based on the calculations, the features which are features of the circle include the following:

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Given the following equation:

x² + 4x + y² - 2y - 4 = 0

x² + 4x + y² - 2y = 4

Next, we would evaluate the equation by using completing the square method:

x² + 4x + 4 + y² - 2y + 1 = 4 + 5

(x² + 2x + 2x + 4) + (y² - y - y + 1) = 9

(x + 2)² + (y - 1)² = 3²

By comparing the above equation with the standard form of the equation of a circle, we have:

Read more on equation of a circle here: https://brainly.com/question/24810873

#SPJ1

Answer:

2.5

Step-by-step explanation:

The difference between the Y axis is 2, and the difference between the X axis is 5 so you divide 5 by 2 to get 2.5