Answers
Related Questions
Population grows.
The population of Boston, MA in 2019 was
692,600 people with an annual rate of increase
1.4%. In what year the population of Boston
will reach 1,000,000 people, if the grows rate
stays the same? The function describing
population grows is P(x)=692,600 - 1.014,
where x is number of years.
Answers
Population are often modelled by exponential functions
The population will reach 1000000 people after 26.5 years
The population function is given as:
[tex]P(x) = 692600 \times 1.014^x[/tex]
When the population reaches 1000000 people, we have:
P(x) = 1000000
So, the equation becomes
[tex]1000000 = 692600 \times 1.014^x[/tex]
Divide both sides by 692600
[tex]1.444=1.014^x[/tex]
Take logarithm of both sides
[tex]log(1.444)=log(1.014)^x[/tex]
Apply logarithm to both sides
[tex]log(1.444)=xlog(1.014)[/tex]
Make x the subject
[tex]x = \frac{log(1.444)}{log(1.014)}[/tex]
Solve the logarithms of 1.444 and 1.014
[tex]x = \frac{0.15957}{0.00603}[/tex]
Divide
[tex]x = 26.5[/tex]
The value of x, is the number of years the population reaches 1000000 people.
Hence, the population will reach 1000000 people after 26.5 years
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I’ll give the crown thing
The band sold 456 pies in 2 weeks. Which proportion could be used to make the best estimate for the number of pies that will be sold in 12 weeks?
Answers
Answer:
i would say A. if its not a its B.
Step-by-step explanation:
This one is the one I need help on plz
Answers
Answer:
p=5/2 q=3/4
Step-by-step explanation:
-4p+7q=-19/4
-12p+35q=-15/4
get rid of the value p
(-3)(-4p+7q=-19/4)
-12p+35q=-15/4 =
12p-21q=57/4
-12p+35q=-15/4 =
14q=21/2
q= 21/2 /14
q=3/4
substitute q=3/4 into an equation 1 to find p
-4p+7q=-19/4
-4p+7(3/4)=-19/4
-4p+21/4=-19/4
-4p=-19/4-21/4
-4p=-10
p=-10/-4
p=5/2
Question 7
Charlie asked a random sample of both boys and girls how much time they had spent on math homework that week. Charlie displayed his data in the box plots below
Minutes Spent on Homework
Boys
Girls
10 20 30
50 60 70
Which statement is a correct inference based on this data?
А
The amount of time spent on homework is less variable for the boys than for the girls
B
The amount of time spent on homework is generally greater for the boys than for the girls
С
The percentage of boys who spent less than the median amount of time on homework is less than the percentage of girls who spent less than the median
D
The data for the boys has a greater range of values than does the data for the girls
62021 Iluminate Education, Inc
Answers
The percentage of boys who spent less than the median amount of time is less than the number of girls who spent less than the median amount of time in doing the homework.
The median is a measure of central tendency. The median of a given data set shows the middle number in a given set of scores when they arranged in ascending or descending order.
The box plots in the question shows the random sample of both boys and girls how much time they had spent on math homework in a week. We can see from the box plot that the percentage of boys who spent less than the median amount of time is less than the number of girls who spent less than the median amount of time in doing the homework.
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Mary has some chocolates. If she shares them equally among 4 friends or 5 friends, there are always 2 extra chocolates left. What is the possible number of chocolates Mary could have?
Answers
Answer:
22 chocolates
Step-by-step explanation:
First, let x represent the number of chocolates Mary has. Since she always has 2 extra chocolates, the number of chocolates distributed to her friends would be x - 2. And x - 2 is the least common multiple of 4 and 5 because x - 2 chocolates are evenly distributed among 4 and 5 friends. The LCM of 4 and 5 is 20, so x - 2 is 20. Mary has 22 chocolates.
Using the following image, solve the problems below given that M is the midpoint of VW.
If you are using a screen-reader, please consult your instructor for assistance.Using your setup, what are the values of x, VM, MW, and VW?
Answers
The midpoint of a line segment divides the line segment into equal halves.
The value of x is 4The value of VM and MW is 15The value of VW is 30Point M is the midpoint of line segment VW.
So, we have:
[tex]VM = MW[/tex]
Substitute known values
[tex]4x - 1= 3x+3[/tex]
Collect like terms
[tex]4x - 3x = 1 + 3[/tex]
Evaluate like terms
[tex]x = 4[/tex]
Hence, the value of x is 4
The expression for VM is:
[tex]VM = 4x - 1[/tex]
So, we have:
[tex]VM = 4(4) - 1[/tex]
[tex]VM = 15[/tex]
Hence, the value of VM and MW is 15
The length of VW is the sum of both lengths.
So, we have:
[tex]VW = 15 + 15[/tex]
[tex]VW = 30[/tex]
Hence, the value of VW is 30
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A group of pigs and ducks has a total of 40 feet. There are twice as many ducks as pigs. How many of each animal are there?
Answers
The question relates to the total number of pairs of feet ducks and a pigs
are known to have.
There are 5 pigs and 10 ducksReasons:
The length of the group of ducks and pigs = 40 feet
Number of ducks = Twice the number of pigs
Each duck has 2 feet.Each pig has 4 feet.Let x represent the number of pigs, and let y represent the number of ducks, we have;
y = 2 × x
4·x + 2·y = 40
Which gives;
4·x + 2 × (2·x) = 40
8·x = 40
x = 40 ÷ 8 = 5
The number of pigs, x = 5y = 2 × x
Therefore;
y = 2 × 5 = 10
The number of ducks, y = 10Learn more about solving word problems in mathematics here:
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Solve the following system: 5x + 4y = 6 -2x – 3y = -1
Answers
Answer:
[tex]\left \{ {{y=-1} \atop {x=2}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{5x+4y=6} \atop {-2x-3y=-1}} \right. <=> \left \{ {{10x+8y=12} \atop {-10x-15y=-5}} \right.<=> \left \{ {{-7y=7} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x+15=-5}} \right. <=>\left \{ {{y=-1} \atop {-10x=-20}} \right. => \left \{ {{y=-1} \atop {x=2}} \right.[/tex]
What is the value of x + 2x when x=2/3?
Answers
Answer:
2
Step-by-step explanation:
2/3+2(2/3)
2/3+2×2/3
2/3+4/3
2+4/3
6/3
=2
For every 50 emails that Nick sent in a month, he received 30 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Nick that month? (5 points)
Question 2 options:
1)
5:2
2)
3:5
3)
2:5
4)
5:3
Answers
Answer:
50:30 or 50/30
Every 50 you get 30
Step-by-step explanation:
Find the value of x need help
Answers
Answer:
x = -8
Step-by-step explanation:
Angle 2 would be the same as 139
thus if angle 2 = x+147
then
139 = x + 147
x = -8
Linda deposits $90,000 into an account that pays 6% interest per year, compounded annually.
Bob deposits $90,000 into an account that also pays 6% per year. But it is simple interest.
Find the interest Linda and Bob earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.
Answers
Answer: Linda earns more interest
Step-by-step explanation:
Linda: 90000 x 1.06^3 -90000 = 17191.44
Bob: (90000 x 1.06 - 90000) x 3 = 16200
17191.44 > 16200
Sandra signed up for the gym during the spring special.
Her credit card was charged $220.87. Is this the correct amount? Explain.
A sign that says workout jazz spring special. Sign up now and get 12 months for just 16 dollars and 99 cents per month asterisk. The asterisk is given as paid in advance.
No; the gym should have only charged Sandra $16.99.
No; the gym charged Sandra $16.99 less than it should have.
No; the gym charged Sandra $16.99 more than it should have.
Yes; the gym charged Sandra the correct amount.
Answers
Answer:
yes the gym charged Sandra the correct price
ivan earns $8 each time he walks his neighbors dog.He already walked the dog 5 times
Answers
Answer:
8 x 5..
Step-by-step explanation:
45$
Answer:
SO if you were to find how much Ivan make
So 8 dollars each time he walks his neighbors dog.
ANd already 5 times.
So we can do 8*5=40
$40 earned
3.Original DNA sequence: 3' TACCGCTTACGTCTGATCGCT 5'
Mutated DNA sequence: 3' TACCGCTTATTATTACGTGCTGCTATCGCT 5'
Type of mutation (3pts):
Amino acid ( 3pts):
Type of mutation ( 3pts):
4. Original DNA sequence: 3' TACCGCTTACGTCTGATCGCT 5'
Mutated DNA sequence: 3' TACCGCTAATTATTACGTGCTGCTATCGCT 5'
Type of mutation ( 3pts) :
Amino acid ( 3pts):
Type of mutation ( 3pts):
Answers
3. The original sequence
TAC - CGC - TTA - CGT - CTG - ATC - GCT
codes for
tyr - arg - leu - arg - leu - ile - ala
while the mutated sequence codes for
TAC - CGC - TTA - TTA - TTA - CGT - GCT - GCT - ATC - GCT
tyr - arg - leu - leu - leu - arg - ala - ala - ile - ala
There are several frameshift mutations involved here:
• the first inserts 6 bases (TTA - TTA)
• the second inserts 1 base (G) before the CTG triplet (underlined)
• the third inserts 2 bases (CT) after the CTG triplet
4. The original sequence is the same as before. The mutated sequence
TAC - CGC - TAA - TTA - TTA - CGT - GCT - GCT - ATC - GCT
codes for
tyr - arg - STOP - leu - leu - arg - ala - ala - ile - ala
Then
• there is a (nonsense) point mutation that swaps T for A in the original TTA triplet (nonsense since it produces a stop codon that would halt replication/expression)
• there is a frameshift mutation that inserts 3 bases (TTA)
as well as two other frameshift mutations that also occurred in the previous part.
Katerina is a real estate agent. Katerina works on a 4% commission. She earns a $4200
commission. What was the value of the house that she sold?
Answers
Answer:
105,000
Step-by-step explanation:
Evaluate "four dollars less than the cost
of a sweater" if a sweater costs $22
a
a
Answers
The question says to evaluate the cost of four dollars less than the cost of a sweater.
To do this, what we have to do is to create a mathematical equation of it.
Less than always insinuates that we are to subtract, and as such, we are going to subtract four dollars from the cost of the sweater to get our final answer.
Four dollars less than the cost of a sweater that costs $22 is
22 - 4 = $18
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A music streaming service conducted a survey asking subscribers where they most often listen to music. Of the 2,500 responses, 1,468 users stated that they most often listen to music while in vehicles.
Use this information to complete the statement. Round all answers to the nearest hundredth.
The approximate sample proportion is ___, which means that ___% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Answers
Answer:
0.59 and 41%
Step-by-step explanation:
Plato/Edmentum
The approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
For this situation, the number of positive responses is 1486 out of a total sample size of 2500.
Substitute these values into the formula for sample proportion, where x is the number of positive responses and n is the sample size.
[tex]\hat p = \frac{x}{n}[/tex]
= [tex]\frac{1468}{2500}[/tex]
= 0.59
So, the approximate sample proportion is 0.59.
Since 0.59 represents the proportion who responded favorably, 1-0.59=0.41, represents the proportion which responded unfavorably.
This value of the same as 41%.
So, 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Therefore, the approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
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Hunter started with the following model to show the problem 1.45 : 5. w 3 To complete the division model of 1.45 = 5, how many hundredths would there be in each of the division groups? Ο Α. 1 O B. 2. O C. 5
Answers
Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.
The number of hundredths in each division set is D. 9Reasons:
The given Hunter's model consists of the following
One 10 × 10 number block
Four sets of a column of 10 cubes
Five individual cube pieces
Therefore;
In 1.45, we have;
1 unit
4 tenths
5 hundredths
Which gives;
Each single cube can be used to represent a hundredth in 0.05
One cube = 0.01
Each set of 10 cubes represents a tenth in 0.4
Each block of 10 by 10 can be used to represent the unit; 1
Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each
The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08
The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.
Therefore;
The value of each division set is 0.2 + 0.08 + 0.01 = 0.29
The number of hundredths in 0.29 = 9
The number of hundredths in each division set is therefore; D. 9
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Find the 87th term of the arithmetic sequence 1,14,27,….
Answers
Answer:
[tex]a_{87}=1119[/tex]
Step-by-step explanation:
Arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference between terms and n is the index of any given term.
Find the difference between the terms in the given sequence here:
[tex]14-1=13\\27-14=13[/tex]
Each term has a common difference of 13. Using that, you can write the equation for this sequence:
[tex]a_n=1+(n-1)13[/tex]
Finally, you can use this equation to find the 87th term by plugging in 87 for n:
[tex]a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119[/tex]
According to his running log, Baldwin averaged 4 miles per week last month and 25% more this month. How much did he average this month?
Answers
Answer:
4(1.25) = if it’s only one month then it’s 5 miles
Step-by-step explanation:
Please mark brainliest
£ 23 PER WEEK TRAVEL HOW MUCH FOR 2 YEARS
Answers
Answer: the cost would be 2398.19
Step-by-step explanation: hope this helps:)
An elevator company claims "for every 15 inches of cable, we can hold up to 32 pounds". Each elevator comes with a standard length of 18 inches for their cable. If an elevator has a
weight limit of 800 lbs, how many additional inches of cable were used?
Answers
375 inches of cable were used for an elevator with weight limit of 800 lbs
Let y represent the weight in pounds and x represent the inches of cable.
Since y and x are proportional:
y = kx,
k is the constant of proportionality.
15 inches of cable, we can hold up to 32 pounds. Hence:
32 = 15k
k = 2.13 pounds per inch
y = 2.13x
For a weight of 800 lbs, y= 800:
800 = 2.13x
x = 375 inches
375 inches of cable were used for an elevator with weight limit of 800 lbs
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3,311L how many millilters
Answers
Answer:
3311 mililiters
Step-by-step explanation:
1 L = 1 liter = 1000 mililiters
3.311L = 3.311 liters = 3.311*1000 = 3311 mililiters
5. 4
Which input value produces the same output value for
the two functions on the graph?
(
*)
3
NO
O x= -1
O x = 0
O x= 1
O x= 2
-5 -3 -2 -
4
х
91x)
Answers
Answer:
x=1......................
A Math book is 6. 15 centimeters. How thick will 21 Math books on a shelf be? A. 130.15 cm B. 129.16 cm. C. 129. 15 cm. D. 128. 16 cm
Answers
Multiply:
6.15 x 21 = 129.15
Answer: C. 129.15 cm.
A rectangle that measures 2 inches by 4 inches.
What is the area of the rectangle?
Answers
Answer:
8 in
Step-by-step explanation:
because 4 x 2 = 8 inches squared
Answer:
8 inches²
Step-by-step explanation:
formula for the area of a rectangle is l x w
2 inches x 4 inches = 8 inches.
Area is written in (unit)²
so, the area of the rectangle is 8 inches²
How to find domain of (1/x-3)(x^2-x-12)
Answers
Set denominator to zero and solve for x.
x^2 - x - 12 = 0
Factor.
(x - 4)(x + 3) = 0
Solve each factor for x.
x - 4 = 0
x = 4
x + 3 = 0
x = -3
Answer:
The domain is ALL REAL NUMBERS except for x = 4 and x = -3.
What system the system that is made up of the heart,blood, and blood vessels is called the ____ this is for sceince but i cant find sceince
Answers
Answer:
Cardiovascular system
Step-by-step explanation:
When dealing with business analysis, when there is a graph of two linear equations, what is the point of intersection
called?
a break-even point
c. profit point
b. loss point
d. output
Answers
Answer:
1. a break-even point
Step-by-step explanation:
This is when the two profits are the same between 2 companies / businesses, thus it is when they break even, or have the same amount of money