Add and subtract the values. Express your answer in scientific notation. (5.4 times 10 Superscript 5 Baseline) + (2.9 times 10 Superscript 5 Baseline) minus (1.1 times 10 Superscript 4) 7.2 times 10 Superscript 5 8.19 times 10 Superscript 5 8.41 times 10 Superscript 5 9.4 times 10 Superscript 5

Answer: I think it is

x        y

1        2

3       14

10      56

Step-by-step explanation:

So what I did is you take the 6 and multiply it by the x number then you subtract by 4  

=========================================================

Explanation:

There are 16 ways to pick the first place winner, 15 for second place, and 14 for third place. Each time we count down by 1 because no single person can be in two (or more) places at once.

Overall, this leads to 16*15*14 = 3360 different permutations

Answer:

y = 3x + 3

Step-by-step explanation:

Rise: 3   Run: 1

slope (m) = 3/1 = 3

y intercept (b) = 3

y = mx + b = 3x + 3

Answer:

2 > x or x < 2

Step-by-step explanation:

-1 + 6(-1 - 3x) > -39 - 2x

-1 - 6 - 18x > -39 - 2x

-7 - 18x > -39 - 2x

32 > 16x

2 > x or x < 2

the reason that x < 2 is because of the negative sign. I solved it so that x stays positive but if you solve the equation with x on the other side like -16x > -32 then when you divide by -16 it changes to x < 2

PLEASE RATE!!! I hope this helps!!

(I have verified my answer on an online calculator)

Answer:

8 liters

Step-by-step explanation:

3x+2x+4x=9x

36/9=x

x=4

2x= smallest bucket= 8

Answer:

Ti lah 13435364646166161611646646767676797979494

Step-by-step explanation:

Okay, so the term "exponent" is a number on the top right corner of a number that tiny number AND/OR a tiny ^ in the middle of two numbers. An exponent means how many times you multiply it by itself. Here's an example:

10^2 is the same as 10x10

   =100

So if the number is 10, then your teacher should give you the exponent number so you can know how many times you should multiply the number 10 by itself.

Answer:

Step-by-step explanation:

a

Going 315 km uses up 35 liters of gasoline

On average, 1 liter of gasoline can travel the number of kilometers:

315 : 35 = 9 liters of gasoline

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{13}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{13}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{3}}} \implies \cfrac{ 5 }{ -5 } \implies \text{\LARGE -1}\)

Hi! I hope you're enjoying your day!

Let's add the following polynomials.

How to add them? Just combine like terms. :)

\(\bold{2x^2-10x+1 ~and~x^2+15x-8}\)

\(\bold{2x^2+x^2-10x+15x+1-8}\)

Hence, the answer is

\(\boxed{\boxed{\bold{3x^2+5x-7}}}\)

\(\rule{250}{2}\)

\(\bold{2x^3-3x^2+5\;and\;5x^2-3x^3+7}}}\\\)

Combine Like terms:

\(\bold{2x^3-3x^3-3x^2+5x^2+5+7}\)

Hence, the answer is

\(\boxed{\boxed{\bold{-x^3+2x^2+12}}}\)

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Answer:

15.49

Step-by-step explanation:

The pythagorean theorem

4^2 + B^2 = 16^2

16 + B^2 = 256

16 + 240 = 265

Sqrt240 = 15.49

Answer:

\(x = 15.49\)

Step-by-step explanation:

To solve this problem is necessary to use the pythagorean theorem:

According to this diagram, the length of the ladder would be the hypotenuse and the distance between the base and the wall would be one of the legs of the triangle, to find the other leg, use the pythagorean theorem:

\(x = \sqrt{ {16}^{2} - {4}^{2} } \\ x = \sqrt{240} \\ x = 15.49\)

The ladder hits the wall at 15:49 feet.

Answer:

(3)

Distance the train can travel=252km

Distance the train can travel in 1 hour=252÷42=6km

The time needed to cover 350km= 350÷6=58.4 hours.

(4)

The cost of 1 articles=$1.95

The cost of 15 articles= 15(1.95)=$29.25

(5)

Cost of 25 articles= 43.75

Cost of 1 article= 43.75/25=1.75

(6)

Liters of petrol needed when a car travels 240km=20litre

liters of petrol needed when a car travels 600km= 20/240 x600

20/24x60

20/4x10

5x10=50liter

Answer: y=55  x=6

Step-by-step explanation: Because of the two equivalent lines in lines DE and FE we know that the angles D and F must be equal, therefore y is 55. And now we know that angles D and F add up to 110 and because all of the angles in a triangle add up to 180, angle E must equal 70.

Angle E-        (11x+4)=70

                            -4   -4

                       11x=66

                         divide both sides by 11

                            x=6

Answer:

Step-by-step explanation:

Vicky  jogged 4 1/2 miles or 9/2 miles  or 4.5 miles

7/8 of 60 min=(7*60)/8=(7*15)/2= 52.50 min

4.5 miles....................52.50 min

? miles.......................60 min

vicky will have a rate of 5.14 miles/hour

The graph of the function g(x) = (0.5)ˣ +3 -4 is shown (refer the graph attached below.)

So, the graph of the function g(x) = (0.5)ˣ +3 -4 will be:

Therefore, the graph of the function g(x) = (0.5)ˣ +3 -4 is shown.

Know more about the graph of the functions here:

https://brainly.com/question/24335034

#SPJ9

The correct question is given below:

What is the graph of g(x) = (0.5)^x+3 -4?

An equation for the linear function that best fits this data is equal to y = 17.83x + 53.6.

In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).

In this scenario, the x-values would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, a linear equation for the line of best fit and correlation coefficient are as follows:

Equation: y = 17.83x + 53.6

Correlation coefficient, r = 0.9926.

Read more on scatter plot here: brainly.com/question/28605735

#SPJ1

Answer:

-920/+40 = -23

The rule goes like this:

negative # x negative # = positive #

postive # x negative # = negative #

positive # x positive # = positive #

negative # x positive # = negative #

Step-by-step explanation:

Answer:

y-intercept =  -1

Step-by-step explanation:

9514 1404 393

Answer:

  D  9/DF = 18/16

Step-by-step explanation:

Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.

For these isosceles triangles, the similarity statement could be written either of two ways:

  ΔDEF ~ ΔABC  or  ΔDEF ~ ΔCBA

Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...

  DF and AC (short sides)

  DE and AB (long sides)

  EF and BC (long sides)

For each (short side, long side) pair, we can write the proportion 4 ways:

Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.

The required choice is true of an observational study B, C, and D.

Statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
Option a is not true of an observational study. In an observational study, the researcher cannot control the variables of interest, unlike in a true experiment where the researcher can manipulate the variables.

Option b is true of an observational study. Since the researcher cannot control the variables of interest, the study is entirely based on observing the subjects and collecting data.

Option c is true of an observational study. The data collected in an observational study is similar to the data collected in a true experiment, and the same statistical methods can often be used to analyze both types of data.

Option d is true of an observational study. Since the researcher cannot control the variables of interest, they have to take advantage of natural variation in the variables to draw conclusions.

Thus, Options B, C, and D are correct.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ1

Answer: 120.7008 Kilometers per Hour

The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

for such more question on fraction

https://brainly.com/question/1622425

#SPJ8

Answer:

B) ∠SBY = 117°

Step-by-step explanation:

interior angles in a pentagon = (5x180) - 360 = 540°

each angle = 540/5 = 108°

interior angles in a octagon = (8x180) - 360 = 1080°

each angle = 1080/8 = 135°

∠SBY = 360 - 108 - 135 = 117°

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

To learn more about interest click on,

https://brainly.com/question/12456231

#SPJ1

Answer:

Step-by-step explanation:

p/s=5/16

x/4=5/16

x=4(5)/16

x=20/16

x=5/4

x=1.25 pints