Answer:
between 1hr 30 and 1hr 45
Step-by-step explanation:
10*2=20 15
20*2=40 30
40*2=80 45
80*2=160 60
160*2=320 1hr 15
320*2=640 1hr 30
In 90 minutes the population to grow to 700 organisms.
Given that,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
We have to determine,
How long would it take for the population to grow to 700 organisms?
According to the question,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.
[tex]\rm = 10 \times 2 = 20 \ bacteria[/tex]
In 15 minutes 20 bacteria for the population to grow.
In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.
[tex]\rm = 20 \times 2 = 40 \ bacteria[/tex]
In 30 minutes 40 bacteria for the population to grow.
In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.
[tex]\rm = 40 \times 2 = 80 \ bacteria[/tex]
In 45 minutes 80 bacteria for the population to grow.
In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.
[tex]\rm = 80 \times 2 = 160 \ bacteria[/tex]
In 60 minutes 160 bacteria for the population to grow.
In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.
[tex]\rm = 160 \times 2 = 320 \ bacteria[/tex]
In 75 minutes 320 bacteria for the population to grow.
In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.
[tex]\rm = 320 \times 2 = 640 \ bacteria[/tex]
In 90 minutes 640 bacteria for the population to grow.
In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.
[tex]\rm = 640 \times 2 = 1280 \ bacteria[/tex]
In 120 minutes 1280 bacteria for the population to grow.
Hence, In 90 minutes the population to grow to 700 organisms.
For more details refer to the link given below.
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Subtract the following decimals
1. 19.87 - 8.54
2. 7.93 - 2.03
3. 96.6 - 88.5
Answer:
the answer is
1. 11.33
2. 5.9
3. 8.1
The population of a city has increased by 15% since it was last measured if the current population is 43700 what was the previous population?
Answer:
37,145
Step-by-step explanation:
43,700×15%= 6,555
43,700-6,555= 37,145
the previous population was 37,145
matthew drove 252 miles to his familys vacation spot his father drove twice as many miles and then thy arrived at their hotel how far did the family travel to get to their destination
I am confused in these problems ?
8. 9.
Answer:
8. 14
9. 720
Step-by-step explanation:
Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).
8. Find the greatest number that can divide 392 and 462 exactly.
Find the GCD of 392 and 462:
1. Find the prime factorization of 392
2^3 × 7^2 (2 × 2 × 2 × 7 × 7)
2. Find the prime factorization of 462
2 × 3 × 7 × 11
3. To find the GCD, multiply all prime factors common to all numbers
GCF = 2 × 7, therefore GCD = 14.
9. What is the smallest number that is divisible by 20, 48, and 72?
Find the LCM of 20, 48, and 72:
1. Find the prime factorization of 20
2^5 (2 × 2 × 5)
2. Find the prime factorization of 48
2^4 x 3 (2 × 2 × 2 × 2 × 3)
3. Find the prime factorization of 72
2^3 x 3^2 (2 × 2 × 2 × 3 × 3)
4. To find the LCM, multiply all prime factors
LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720
Calculator Input:
The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.
For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).
Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.
(What is the Constant of Proportionality) The variable y has a proportional relationship with
x as suggested by the graph. Use the graph to
find the constant of proportionality.
Answer:
41
Step-by-step explanation:
In a direct proportion function, the constant of proportionality is the same as the slope of the graph.
Use points (0, 0) and (1, 41).
slope = (41 - 0)/(1 - 0) = 41/1 = 41
constant of proportionality = 41
Answers plz fast ????? :D
Ans
Step-by-step explanation:
Find the slope of the line that passes through the pair of points (4,3) (-1,6)
Answer:
-3/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-3)/(-1-4)
m=3/(-5)
m=-3/5
!!!! Which equation represents the graph shown? PLEASE HELP ASAP!!!
Answer:
y= 2x +1
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the slope.
Since all the slope in the options are the same, let's focus on the y-intercept. From the graph, the line cuts through the y-axis at y= 1. Thus, the y- intercept is 1.
Hence, y= 2x +1 is the correct option.
Extra notes:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
which of the following represents an arithmetic sequence with a common difference of -8.5?
Answer:
C
Step-by-step explanation:
to have a common difference of -8.5, the sequence has to consistently go down by 8.5.
in the first one, y would go up by 2 every time x goes up by 1, so its not that one.
in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.
in the third one, each time it goes down by 8.5 so this is the answer.
the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.
There is a group of 5 turtles near the playground. More turtles joined. Now there are 13 turtles. How many turtles joined the group?
Answer:
8 turtles joined the group
Step-by-step explanation:
13-5=8
. Mary has been working hard to pay her bills and as a result she has a good credit rating and has qualified for a lower interest rate credit card. She needs to move and an apartment in a good location is available now. She has money for the monthly rent but she doesn’t have enough cash right now for the month in advance and additional moving expenses. She is expecting a bonus from her job within the next couple of months that will cover these expenses. How could a credit card be a benefit in this situation?
Mary having a credit card could be beneficial to her present situation as it gives her the ability to move to the new apartment without making immediate cash payments.
What is a credit card?A credit card is a payment card issued by a bank or financial services company to a cardholder to enable the cardholder to purchase goods and services on credit and later pay for them.
Credit cards and their interest rates are issued based on the user's credit rating.
What are the benefits of credit cards?Some of the benefits that Mary can derive from using credit cards include:
Ability to move to an apartment using her credit card without making immediate cash payments from her unavailable savings.Make credit purchases and withhold cash payments.The cardholder does not necessarily have to have a checking or saving account.The credit card gives Mary increased purchasing power.Using a credit card now helps Mary to build up her credit rating for future emergencies.Thus, with a credit card, Mary can move to the new apartment by borrowing the required funds for advance payment, including additional moving expenses.
Learn more about the benefits of credit cards at https://brainly.com/question/11492044
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Solve by factoring
5x2-8=-6x
Answer:
x= 4/5 or x = -2
Step-by-step explanation:
Step 1: Subtract -6x from both sides.
5x^2 -8 - -6x = -6x -6x
5x^2 + 6x - 8 = 0
Step 2: Factor left side of equation.
(5x - 4) (x + 2) = 0
Step 3: Set factors equal to 0.
5x - 4 = 0 or x + 2 = 0
Hense the Answer is x= 4/5 or x = -2
Homer paid $6.72 for a dozen donuts. Identify the unit rate. a. $1.79 c. $0.52 b. $1.12 d. $0.56
Answer:
d. 0.56
Step-by-step explanation:
6.72/12=0.56
the unit rate is just the cost for one.
At the end of the Crimson Comet's soccer season, Coach Jackson hosted a party for the players. He had 20 players on his team and ordered enough extra large pizzas for each player to eat 3 slices. Extra large pizzas have 10 slices each and cost $17. How much did all the pizzas cost?
Answer:
correct answer is explained in the picture attached (tap on the image to view it fully)
A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many
yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the
bag stays equivalent to 6:15? Show your work.
Answer:
I would remove 5 yellow tiles.
Step-by-step explanation:
If the beginning ratio was 6:15, I would start by finding the ratio of 1 red tile to ? yellow tiles. By multiplying 1 by 15, giving you 15, and dividing 15 by 6, I would find out that 1 red tile is equal to 2.5 yellow tiles. I would then set up an equation so there is 1/2.5 = 4/?, the 4 being the remaining red tiles after removing 2. I would then find the yellow tiles by multiplying whatever number the 1st numerator can be multiplied by to equal the 2nd numerator. Basically, I know that 1 multiplied by 4 is equal to 4, so I would multiply 2.5 by 4, which is equal to 10. Now that I know 4 red tiles is equal to 10 yellow tiles, I would remove 5 tiles to keep the ratio equivalent to 6:15
HOPE THIS HELPS :)
Help I’m so confused
Answer:
5x: linear; monomial
-7: constant; monomial
x^2 + 4: quadratic, binomial
x^2 - 3x + 11: quadratic, trinomial
2x - 9: linear, binomial
Step-by-step explanation:
Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic
Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.
The graph of an equation with a negative discriminant always has which characteristic?
Answer:
answer below
Step-by-step explanation:
equation with a negative discriminant: negative number under the square root
1. will produce imaginary number "i"
2. the function will get two complex solutions
A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost.
Swim Lesson Packages
Number of Total Cost
Lessons
1
$10
5
$40
10
$80
15
$80
Which package is the best deal?
0 1 lesson for $10
O 5 lessons for $40
ОООО
10 lessons for $80
O 15 lessons for $80
Answer:
15 lessons for $ 80
Step-by-step explanation:
In case 1
Cost of 1 lesson = $10
In case 2
Cost of 1 lesson = 40/5 = $8
In case 3
Cost of 1 lesson = 80/10 = $8
In case 4
Cost of 1 lesson = 80/15 = $ 5.33
Hence,
The best deal is case 4 i.e 15 lessons for $ 80
Solve the inequality p+4<-24
90 POINTS
Step-by-step explanation:
p+4<-24
collect like terms
p<-28
[tex]\\ \rm\Rrightarrow p+4<-24[/tex]
[tex]\\ \rm\Rrightarrow p<-24-4[/tex]
[tex]\\ \rm\Rrightarrow p<-28[/tex]
So
[tex]\\ \rm\Rrightarrow p\in (-\infty,-28)[/tex]
elliot's jogging rate is 9 km/h. how many kilometers can he travel in
a) 2 hours?
b) t hours.
50 POINTS AND BRAINILEST!
Answer:
A=18km B=equation is 9t
Step-by-step explanation:
Here's how I found the answer!
A: Here is our current proportion:
9km
--------
1 hr
Here is what we want:
9km xkm
------- = --------
1h 2h
Now, what did I do to 1 to get to 2? I multiplied by 2.
Since this is a ratio, it needs to be proportional.
So, we need to do the same thing for the numerator, 9.
9*2=18.
A=18km
B: This question is asking for an expression, which would be 9t. 9 is the amount he jogs per hour, and t is the hour that is unknown.
The distance travelled by Elliot's is 18 hours.
Given that, Elliot's jogging rate is 9 km/h.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
a) The formula to find the distance is Distance = Speed × Time
= 9 × 2
= 18 hours
b) Distance = 9 × t
=9t hours
Therefore, the distance travelled by Elliot's is 18 hours.
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Find the measure of the following: m arcTR = m arcTL = m ∠L = m ∠R = m ∠RTV =
Applying the inscribed angle theorem, the missing measures are:
measure of arc TR = 106°
measure of arc TL = 74°
m∠L = 50°
m∠R = 37°
m∠RTV = 37°
The Inscribed Angle TheoremMeasure of an inscribed angle = half the measure of the arc it intercepts
Central angle = measure of intercepted arc
We are given the following:
LR and TV are diameters of the circle O.
m∠TOR = 106° (central angle)
Find measure of arc TR:
measure of arc TR = m∠TOR
measure of arc TR = 106°
Find measure of arc TL:
measure of arc TL = 180° - m∠TOR
measure of arc TL = 180° - 106°
measure of arc TL = 74°
Find m∠L:
m∠L = ½(measure of arc TR)
m∠L = ½(106°)
m∠L = 50°
Find m∠R:
m∠R = ½(measure of arc TL)
m∠R = ½(74°)
m∠R = 37°
Find m∠RTV:
m∠RTV = ½(measure of arc RV)
m∠RTV = ½(180 - 106)
m∠RTV = ½(74)
m∠RTV = 37°
Learn more about the inscribed angle theorem on:
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Find the equation of the polynomial function graphed below.
A) f(x) = x3 − 3x2 − 6x + 8
B) f(x) = 8x3 − 24x2 − 48x + 64
C) f(x) = x3 + 3x2 − 6x − 8
D) f(x) = 8x3 + 24x2 − 48x − 64
Answer:
See image
Step-by-step explanation:
Check out the y-intercepts for these equations and look at the y-intercept on the graph. The y-intercept is the point where x=0. So it's mental math you can do in a couple of seconds per equation. If x=0 all the x terms are zero and the y-intercept is just the constant at the end if the equation. I put a note on the graph and the answer choices. The constant is the y-intercept. Only one choice matches. See images.
Simplify
[tex] \binom{2x + y \: \: 3y}{6 \: \: \: \: \: 4} = \binom{6 \: \: 0}{6 \: \: 4} [/tex]
Find x and y
Answer:
I am hacker
Step-by-step explanation:
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
you have a pathetic life
Answer:
By comparing ,
2x + y = 6
3y = 0
y= 0/3
•°• y = 0
2x + y = 6
2x + 0 = 6
2x = 6
x = 6/2
•°• x = 3
hope it helps :)
Complete the third step to solve the equation.
3 + 2x = -6x + 4
1. Isolate the variable term on one side: 3 + 8x = 4
2. Isolate the constant on the other side: 8x = 1
3. Solve for x: x =
Step-by-step explanation:
8x = 1
x = 1/8
So x = 1/8 is the correct answer
Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair
Answer:
$85 per chair
Step-by-step explanation:
add the discount (55) to the total amount paid (455).
you should get 510
after this, divide 510 by 6 (because 6 chairs), and you should find that each chair costs $85
Select the values that make the inequality -4 g< 64 true. Then write an equivalent inequality, in terms of g
Answer:
g > -16
Step-by-step explanation:
-4 g< 64 (Given)
g > -16 (Sign flips sing you divided by a negative number)
5. Seismologists use the Richter scale to measure the magnitudes and intensity of
earthquakes that occur all over the earth. (see below, some info about Richter scales,
and intensity formula)
Let's say an earthquake hit Santa Monica, CA and had a magnitude of 6.2. If another
earthquake hit Charleston, SC and was a magnitude of 3.8, then how much more
intense was the earthquake in LA?
Student's Work
Student's Answer
A. 251.19 times
B. 11.02 times
C. 42.81 times
D. 2.4 times
Some additional Richter scale info...
A common logarithm is a logarithm with base 10. You can write a common logarithm logio * simply as log x, without
showing the 10
Many measurements of physical phenomena have such a wide range of values that the reported measurements are
logarithms (exponents) of the values, not the values themselves. When you use the logarithm of a quantity instead of the
quantity, you are using a logarithmic scale. The Richter scale is a logarithmic scale. It gives logarithmic measurements
of earthquake magnitudo.
1
3) 1 Hot 10
Intensity formula:
-
= M - M₂
-
log
12
Applying logarithms, it is found that the earthquake in LA was 251.19 times more intense, and the correct option is A.
The logarithm of the ratio of intensity of two earthquakes of magnitudes [tex]M_1[/tex] and [tex]M_2[/tex] is given by:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\frac{I_1}{I_2}[/tex] gives how much more intense earthquake 1 is compared to earthquake 2.In this problem, [tex]M_1 = 6.2, M_2 = 3.8[/tex], then:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\log{\frac{I_1}{I_2}} = 6.2 - 3.8[/tex]
[tex]\log{\frac{I_1}{I_2}} = 2.4[/tex]
[tex]10^{\log{\frac{I_1}{I_2}}} = 10^{2.4}[/tex]
[tex]\frac{I_1}{I_2} = 251.19[/tex]
Hence, the earthquake in LA was 251.19 times more intense, and the correct option is A.
A similar problem is given at https://brainly.com/question/2528611
A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?
Answer:
Step-by-step explanation:
Let the tip be x.
You have to take 15% of 90 to get x.
The equation looks like
15/100 * 90 = x Multiply the numerator of the fraction by 90
1350/100 = x Divide by 100
x = 13.50
So the tip is 13.50
There are other ways you could do this problem, but I think this is the most easily understood.
A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?
Answer:-$13.50
Explanation:-Let the tip be x.
→ x = [tex] 90 \times \frac{15}{100} [/tex]
→ x = [tex] \frac{1350}{100} [/tex]
→ x = $13.50
A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.
a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.
Answer:
c
Step-by-step explanation:
Marl me as brainliest answer c
The p-value for the given test is 0.0901.
Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.
What is a standard deviation?Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.
Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.
Hypothesis test [tex]H_{0}[/tex];μ=3 and [tex]H_{1}[/tex];μ>3
We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.
When x>x critical
x critical = μ+Z+σ
Z = (x-μ)/(σ/√n)
= (3.07-3)/(0.4/√64)
= (0.07)/0.05
= 1.4
α = 5 and [tex]z_{0.05[/tex]= 1.645
If Z>[tex]Z_{0.05[/tex]
1.4 > 1.645
Therefore, we do not reject null hypothesis at 5% significant level.
There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.
p-value
p−value=P(Z>1.4)
=1−P(Z<1.4)
=1−0.90988
=0.0901
Therefore, the p-value for the given test is 0.0901.
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Write 0.06 as a fraction
Answer:
3/50
Step-by-step explanation:
Answer:
0.06 is equal to 3/50.
Hope that helps. x