3x(2x+1)-8(2x+1)
6x²+3x-16x+16
6x²+13+16
Imani drove to the lake and back. On the trip there he drove 30km/h and on the return trip he went 40km/h. How long did the trip there take, if the trip back wa 3 hour?
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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Suppose you flip a penny and a dime. Use the following table to display all possible outcomes. Penny dime head ? head ? tail ? tail ? if each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting two heads? a. P(2 heads) = one-half b. P(2 heads) = three-fourths c. P(2 heads) = startfraction 4 over 4 endfraction d. P(2 heads) = one-fourth.
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 .
What is Probability ?It is simply the favorable number of outcomes divided by total outcomes is called probability.
favorable outcomes :-
Two Heads
condition 1 : coin-1 => head, coin-2 => headcondition 2: coin-1 => head, coin-2 => Tailcondition 3: coin-1 => Tail, coin-2 => headcondition 4: coin-1 => Tail, coin-2 => Tailonly 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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What are the answers to this ??
ONLY ANSWER IF YOU KNOWWW THE ANSWER ISTG.
help asap plsss, i just need this question :,)
Answer:
Equilibrium quantity = 408 items
Equilibrium price = $136
A furniture maker uses the specification 19.8≤w≤20.2 for the width, w, in inches of a desk drawer. Write the specification as an absolute value inequality.
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
PLS HELP ASAP!!!
Are the two lines in the picture parallel, perpendicular, skew, or neither? Be sure to explain your reasoning.
Answer:
The two lines are parallel!
Step-by-step explanation:
Perpendicular lines are those that intersect at a 90° angle.Skew lines are those that are neither parallel nor perpendicular.Parallel lines are those that travel in the same direction and angle, with the same amount of space between them.:)
Martin has $30 and he makes $10 an hour mowing grass. His friend has $60 and makes $7 an hour babysitting. After how many hours will Martin have more money?
Martin will have more-money than his friend after babysitting for 10 hours
How to determine the relationship equation?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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Albert spends 2 hours a day on his homework and an hour playing video games. What percent of the day is it?
The numbers 1-25 are written
on slips of paper and placed in a
bag. A number is chosen, it is not
replaced, then another is chosen.
What is the probability of getting
two numbers greater than 10?
A submarine is 75 feet below sea level. It descends another 25 feet every 10 seconds for 3 minutes. What integer represents the submarines current location?
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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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. Use either fractions, or decimals rounded to 4 places.
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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40 points if you help
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
Which expressions are equivalent? Choose ALL that apply.
9 to the fourth power
36
9•9.9•9
4 to the ninth power
94
For the given expressions , the equivalent expressions are as follow:
9 to the fourth power9•9.9•99⁴As given in the question,
Given expressions are given below:
9 to the fourth power369•9.9•94 to the ninth power9⁴Simplify and find the equivalent expression from the following given expressions:
9 to the fourth power=9⁴
= 9 × 9 × 9 × 9
= 6561
3636 = 6²
≠ 6561
9•9.9•9=9⁴
= 9 × 9 × 9 × 9
= 6561
4 to the ninth power= 4⁹
= 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4
=262144
≠6561
9⁴= 9⁴
= 9 × 9 × 9 × 9
= 6561
Therefore, for the given expressions , the equivalent expressions are as follow:
9 to the fourth power9•9.9•99⁴The complete question is :
Which expressions are equivalent? Choose ALL that apply.
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Ms. Michaels surveyed her class on whether they preferred free time at the beginning of class or at the end of class. If the ratio of students who prefer free time at the beginning of class to students who prefer free time at the end of class is 12 over 19, what does the ratio 12 over 19 represent?
A19 students prefer free time at the beginning of class, and 12 students prefer free time at the end of class.
B 19 students prefer free time at the beginning of class, and 31 students prefer free time at the end of class.
C 12 students prefer free time at the beginning of class, and 19 students prefer free time at the end of class.
D 31 students prefer free time at the beginning of class, and 12 students prefer free time at the end of class.
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)
What is ratio?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 rate of petrol was RS 120 in January. After three months,rate of petrol was RS 150 Find the percentage increase in its rate
The percentage of increase in rate is 25%
Calculating the Percentage: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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9a-b-2a-10b simplify this expression
A. -7a+11b
B. 11a+9b
C. -11a-9b
D. 7a-11b
please solve with explanation Q^Q
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
Laurie works for the Mathville High School. Her weekly paycheck reads "You
worked 4s + 3 hours this week, at a rate of 2s + 4 dollars per hour. You earned
a gross amount of $700." How many hours did Laurie work this week?
The total number of hours that Laurie worked for the week is; 35 hours
How to solve Algebra Word Problems?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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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
The number of outfits that Gianna can buy given her budget is 8.
How many outfits can she buy?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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Keilantra wants to ride her bicycle 28. 8 miles this week. She has already ridden 4 miles. If she rides for 4 more days, write and solve an equation which can be used to determine mm, the average number of miles she would have to ride each day to meet her goal.
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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Kala deposits $3000 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 2 years?
If Kala deposits $3000 into an account .The interest she pay in the first 2 years is $240.
How to find the simple interest?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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please help asap
i already know that -7 is wrong
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
Estimate 210 ÷ 5.2 . 9 3/4 +(-205). Is reasonable answer? Explain your answer
Using PEDMAS, the expression is 188.75
PEDMASBODMAS 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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the sum of the digits of a three-digit number is 26. the number is multiplied by 7 , then by 11 , and finally by 13. how many times will the digit 9 occur in the final product?
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,
Any 02 digit number multiplied by 101 will result. For Example: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 area of a pond covered by algae is [tex]\frac{1}{4}[/tex] of a square meter on day 1 and it doubles each day. complete the table
What does PEMDAS mean??????
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:
6,311
✕ 41 pls answer
Answer:
258751
Step-by-step explanation:
multiply and you'll get the answer
find the indefinite integral in two ways . explain any difference in the forms fo the answer tansec^2x
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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a production process manufactures items with weights that are normally distributed with mean 17 pounds and standard deviation 0.1 pound. an item is considered to be defective if its weight is less than 16.85 pounds or greater than 17.15 pounds. suppose that these items are currently produced in batches of 500 units. a) (10 points) find the probability that an inspected item is defective. b) (10 points) find the probability that at most 10% of the items in a given batch will be defective. hint: find the probability that an item is defective using normal probabilities. then, you can model number of defectives out of 500 as binomial
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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Aurora thinks of a number. What is her number?
My number is odd and
greater than 4.
54 and 36 are multiples of
my number.
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.
What is an expression?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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a1=−12an=an−1+5
What is the sixth term of this sequence?
The sixth term is a₆ = 13.
What is an arithmetic sequence?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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helppp ..........
...
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.