(3x-8)(2x+1) in simplest form

In this position, if you flip a penny and a dime to get both heads option D). p(2 heads) = one-fourth is correct answer .

It is simply the favorable number of outcomes divided by total outcomes is called probability.

favorable outcomes :-

Two Heads

only one condition ( condition 1: coin-1 => head, coin-2 => head ) is favorable outcome of four conditions.

probability = one-fourth or  [tex]\frac{1}{4}[/tex].

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1001 many times will the digit 9 occur in the final product.

First of all,

13×7 × 11 =1001

The result is 4 digit number and hence when multiplied by 3 digit number, it is resulting in the number repetition.

             123× 1001 = 123123

             445 × 1001 = 445445

Based on this logic we can assume that,

             99 × 101 = 9999

             85× 101 = 8585

             20 × 101 = 2020.

2.  Any 3 digit number multiplied with 1001 will result in same pattern. for example:

              123 × 1001 = 123123

              997 × 1001 = 997997

              500× 1001 = 500500

Ans so on.

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The sixth term is a₆ = 13.

A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.

Given that, a₁= -12 and aₙ = aₙ₋₁ + 5.

aₙ = aₙ₋₁ + 5

Substitute n = 2 into the above equation,

a₂ = a₂₋₁ + 5

a₂ = a₁ + 5

Substitute a₁ = -12 into the above equation,

a₂ = -12 + 5

a₂ = -7

Repeating the same process, a₃ = -2, a₄ = 3, a₅ = 8, and a₆ = 13.

Hence, the sixth term is a₆ = 13.

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Answer:

The two lines are parallel!

Step-by-step explanation:

:)

The total number of hours that Laurie worked for the week is; 35 hours

The parameters given are;

Total number of hours worked for the week = 4s + 3 hours

Rate of earning = 2s + 4 dollars per hour

Gross Amount earned = $700

Thus;

(4s + 3)(2s + 4) = 700

8s² + 6s + 16s + 12 = 700

8s² + 22s + 12 = 700

8s² + 22s - 688 = 0

Solving this with an online quadratic calculator gives;

s = 8

Thus;

Total hours worked = 4(8) + 3 = 35 hours

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Answer:

My teacher uses:

Please Excuse My Dear Aunt Sally : PEMDAS

Parenthesis, exponents, multiplication, division, addition, subtraction

Step-by-step explanation:

Answer:

parenthesis, exponents, multiplication, division, addition, subtraction

Step-by-step explanation:

Answer:

(a) the graph is discrete because the number of basketballs cannot exist in fractions

(b) 126 ÷ 14 = 9, 9 basket balls were bought

graph:-

[b] [a]

0 0

1 14

2 28

3 42

4 56

Answer:

discrate

9

0 14 24 38 52

If Kala deposits $3000 into an account .The interest  she pay in the first 2 years is $240.

Using this formula to find the interest

I = P × r ×t

Where:

I = Interest = ?

P = Principal = $3,000

R = rate = 4% or 0.04

T = Time = 2 years

Let plug in the formula

I = 3,000 × 0.04 × 2

I = $240

Therefore she will pay the amount of $240 as interest.

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Answer:

9a-b-2a-10b=7a-11b

Step-by-step explanation:

collect the like terms, meaning add or subtract the numbers from the ones with the same variable(in this case a and b are the different variables)

9a-2a=7a

-b-10b=-11b

therefore, the correct answer is D

Step-by-step explanation:

Well , all you have to do is to collect the like terms bringing those with the same unknown together.

=9a-2a-b-10b

=7a-11b

Answer: 9

Step-by-step explanation:

Factors that 54 and 36 share are 1, 2, 3, 6, and 9.

3 and 9 are the only odd numbers, but 3 is below 4.

Therefore, it has to be 9

The number which is odd, greater than 4, and 54 and 36 are its multiples is 9.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

x = odd

x = greater than 4

x = 54 and 36 are multiples

Now,

The number is 9.

9 is an odd number.

9 is greater than 4.

54 and 36 are multiples of 9.

i.e 9 x 6 = 54 and 9 x 4 = 36

Thus,

The number is 9.

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7 hours long was the trip for Imani to drove to the lake and back.

Speed is rate of change of position of any object from place to another . Formula to calculate speed is

Speed = Distance / Time

Speed at which he drove to the lake = 30Km/h

Speed at which he drove back = 40Km/h

Time taken in returning back from the trip = 3 hours

Distance travelled when time taken is 3 hours and speed is 40Km/h = Speed ×Time taken =

40 × 3 = 120 Km

Time taken by Imani to drove to the lake = Distance / Speed

= 120 / 30

= 4 hours

Total hours trip took = 4 + 3 = 7 hours

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Answer:

Step-by-step explanation:

I thinkin it -43

Answer:

15

Step-by-step explanation:

because when the y value stays the same, the slope is 0

Martin will have more-money than his friend after babysitting for 10 hours

The given parameters in the question are:

Martin

Initial amount = $30

Additional earnings = $10

His friend

Initial amount = $60

Additional earnings = $7

The equation that shows their total earnings is

y = Initial amount + Additional earnings * x

So, we have

Martins: y = 30 + 10x

His friend: y = 60 + 7x

When Martin has more money, we have

Martins > His friend

This gives

30 + 10x > 60 + 7x

Evaluate the like terms in the above inequality

3x > 30

Divide by 3

x > 10

Hence, Martin will have more money after 10 hours

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The number of outfits that Gianna can buy given her budget is 8.

The first step is to determine the total cost of the items bought so far

Total cost = price of the bicycle + cost of the bicycle reflectors + cost of the bike gloves

Cost of the bicycle reflectors = cost of one reflector x 2

Cost of the bicycle reflectors = $10.01 x 2 = $20.02

Total cost = $20.02 + $356.46 + $20.72 = $397.20

Amount that is left to buy the outfits = amount Gianna has - total cost

$760 - $397.20 = $362.80

Number of outfits she can buy = amount left / cost of one outfit

Number of outfits she can buy =  $362.80 /  $45.35

Number of outfits she can buy = 8

Here is the complete question:

Gianna has $760 to spend at a bicycle store for some new gear and biking outfits. assume all prices listed include tax. she buys a new bicycle for $356.46. she buys 2 bicycle reflectors for $10.01 each and a pair of bike gloves for $20.72. she plans to spend some of all of the money she has left to buy new biking outfits for $45.35 each. How many outfits can she buy ?

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The average distance that Keilantra would have to ride is 6.2 miles. And equation to this question would be 28.8 - 4 = 4m .

What is an equation ?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Main body:

total distance she has to travel = 28.8 miles

distance already traveled by her = 4 miles

total days = 4

So equation will be =

4m = 28.8 - 4

solving this we will get average distance traveled by her

4m = 24.4

m = 24.4/4

m = 6.2 miles

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The integer represents the submarine's current location is -525 feet

The initial position of submarine = 75 feet below sea level

The descending rate of submarine = 25 feet every 10 second

Total time = 3 minutes

One minute = 60 seconds

3 minutes = 180 seconds

Therefore number of 10 seconds period = 180 / 10

= 18

For each 10 second the submarine descend 25 feet

Total distance that submarine descend = 18 × 25

= 450 feet

The initial position of submarine = -75

Current position = -75 - 450

= -525 feet

Hence, the integer represents the submarine's current location is -525 feet

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Using PEDMAS, the expression is 188.75

BODMAS is an acronym and it stands for parentheses, exponents, division, multiplication, addition, subtraction. In certain regions, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction) is used, which is the synonym of BODMAS.

To solve this problem, we just need to apply PEDMAS rule here and evaluate the expression.

210 ÷ 5.2 * 9 3/4 - 205 = 755 / 4 = 188.75

The expression has a value of 188.75

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Answer:

258751

Step-by-step explanation:

multiply and you'll get the answer

Answer:

Step-by-step explanation:

Ok:

Tips: The names and definition of shapes are arleady identified so just match them

1. The figure is a trapezoid since it has one parallel side.

2. The figure is a square since it is a side with four equal lengthed sides.

3. The figure is a rectangle since it has 2 sets of parallel sides with two same length and width

4. Irregular Quardrileteral since it arleady looks irregular and four sides are all different lengths and widths!

5. Parallelogram. Since it has four sides and and two are different lengths.

6. Rhombus. Since all sides are parallel to each other and width and length are the same.

7. Irregular Quardrileteral since it arleady looks irregular and four sides are all different lengths and widths!

8. Rectangle since it has 2 sets of parallel sides with two same length and width

9. Parallelogram. Since it has four sides and and two are different lengths.

The ratio 12/19 means 12 students prefer free time at the beginning of the class and 19 students prefer free time at the end of the class. (option C)

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b, which is read as 'a is to b'.

For example if the ratio of boys to girls in a school is 5:4, this means in the school 5boys to 4 girls , and 10boys to 8girls. It can also be expressed as 5/4

Therefore if 12/1,9 is the ratio of students that prefer free time at the beginning to students that prefer free time at the end of a class, then , 12 students prefer free time at the beginning and 19 prefer at the end of the class.

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Answer:

c

Step-by-step explanation:

pls

The Indefinite integral of the function [tex]\int \tan \left(x\right)\sec ^2\left(x\right)dx[/tex] = [tex]\frac{\tan ^2\left(x\right)}{2}[/tex]

Given;

To get the Indefinite integral of the function [tex]\int \tan \left(x\right)\sec ^2\left(x\right)dx[/tex] ;

Let;

⇒ [tex]\int \tan \left(x\right)\sec ^2\left(x\right)dx[/tex]

Assume tan(x) as 'u', then sec²(x)dx = du;

⇒ [tex]\int \:udu[/tex]

⇒  [tex]\frac{u^2}{2}[/tex]

⇒ [tex]\frac{\tan ^2\left(x\right)}{2}[/tex]

By adding a constant C;

⇒ [tex]\frac{\tan ^2\left(x\right)}{2}[/tex] + C

Hence, the Indefinite integral of the function [tex]\int \tan \left(x\right)\sec ^2\left(x\right)dx[/tex] = [tex]\frac{\tan ^2\left(x\right)}{2}[/tex]

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The probability that at most 10% of the items in a given batch will be defective = 0.31333

We are aware that the item is broken.

Rate it 17.15 if X is either less than 16.85 or is.

Therefore, we simply found the area of one tail and multiplied it by two as we have seen their identical distance from the Min.

Therefore, let's choose 16.85.

We'll calculate a Z score for that.

Therefore, let's go on to the X value less the mean more than the standard deviation

This may be 16.85 -70, which will be 0.15 divided by.1 negative.

You will have a result of -1.5.

As a result, the Z distribution's region to the left of negative 1.5 will have a value of 0.0668. Divide that amount by two.

Z-score=0.0668/2=0.31333

You will also receive 0.31333.

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Answer:

Step-by-step explanation:

The correct answer is:

|w-20| ≤ 0.12.

Explanation:

We first find the average of the two ends of the inequality:

(19.88+20.12)/2 = 40/2 = 20

This will be the number subtracted from w in the inequality.

Now we find the difference between this value and the ends:

20-19.88 = 0.12

20.12 - 20 = 0.12

This will be what our absolute value inequality ends with; the "answer" part, so to speak.

Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."

This gives us

|w-20| ≤ 0.12

Answer:

Equilibrium quantity = 408 items

Equilibrium price = $136

p(t) = 6000·(1/2)^(t/3) is the exponential function which represents the size of the bacteria.

What is bacteria?

Bacteria are common, mostly non-symbiotic organisms that regularly solely have one biological cell. they create up a big portion of the being microorganism kingdom.

Main Body:

An exponential growth or decay can be modeled by =

value = (initial value) · (growth factor)^(t/(time for growth factor))

Here, the growth factor is 3000/6000 = 1/2 in 3 hours. The initial value is 6000. Putting those numbers into the above form, we have ...

p(t) = 6000·(1/2)^(t/3)

If you prefer your exponential functions to be a power of e, then this is ... Hence,p(t) = 6000·e^(-0.23105t)

The constant -0.23105 is ln(1/2)/3.

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For the given expressions , the equivalent expressions are as follow:

As given in the question,

Given expressions are given below:

Simplify and find the equivalent expression from the following given expressions:

=9⁴

= 9 × 9 × 9 × 9

= 6561

36 = 6²

    ≠ 6561

=9⁴

= 9 × 9 × 9 × 9

= 6561

= 4⁹

= 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4

=262144

≠6561

= 9⁴

= 9 × 9 × 9 × 9

= 6561

Therefore, for the given expressions , the equivalent expressions are as follow:

The complete question is :

Which expressions are equivalent? Choose ALL that apply.

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The percentage of increase in rate is 25%  

The percentage is a value that is expressed as a fraction of 100. In simple words, the percentage means, a part per hundred. To calculate the percent of a number, divide the number by the whole and multiply by 100. It is denoted by the symbol “%”.    

Here we have

The rate of petrol was Rs. 120  

After three months the rate of petrol was Rs.150

The increased rate = Rs.150 - Rs. 120 = 30

The percentage of increase = ( Increased rate/ initial rate) × 100

=  [tex]\frac{30}{120} \times 100[/tex]  = 25%      

Therefore,

The percentage of increase in rate is 25%

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