Answer:
5x + 10
Step-by-step explanation:
I did the math and checked. :)
ABC is a straight line.
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
Answer:
60
Step-by-step explanation:
so 4 of BC will make a AB, so AC =5 of BC =75
therefore BC=75/5=15
If BC=15 and AB=4*BC=4*15=60
The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours
Answer:
240
Step-by-step explanation:
According to law of exponential growth,
[tex]y=y_0e^{kt}[/tex]
Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put [tex]y_0=240[/tex]
So,
[tex]y=240e^{kt}[/tex]
The population after 12 hours is double the population after 1 hour.
[tex]y(12)=2y(1)[/tex]
[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]
(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])
So,
[tex]y=240e^{0}=240\\y=240[/tex]
Therefore,
Number of bacteria after 3 hours = 240
if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?
Answer:
Well in six hours it'll be -12
Step-by-step explanation:
What is the probability that a student chosen at random has a GPA less than 3.00?
Answer:
1200/2000
Step-by-step explanation:
There are 1200 students total that have a GPA less than 3.00. That means that out of 2000 students, 1200 of them have a GPA less than 3.00, hence 1200/2000 chance that a student is picked at random with less than a 3.00.
Solve the equation below. Show the steps that lead to your final solution.
5(2x+1)+6x-13=3(3x-2)
Answer:
this is how u would do it
5(2+1)+6−13=3(3−2)
10+5+6−13=3(3−2)
=2/7
a boat can travel 384 miles on 48 gallons of gasoline. how much gas does will it need to go 456 miles?
What is the image point of ( 8 , − 2 ) after a translation right 5 units and up 2 units?
Answer:13,0
Step-by-step explanation:
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The coordinates of point (8,−2) after translation will be (13,2) and (13,4).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The coordinates of a point (x,y) can be translated by right 5 units and up 2 units as,
Translation right by 5 units → (x+5, y)Translation up by 2 units → (x+5, y+2)Now, the given coordinate (8, -2) can be translated as shown below,
Translation right by 5 units → (8+5, 2) = (13, 2)Translation up by 2 units → (8+5, 2+2) = (13, 4)Hence, the coordinates of point (8,−2) after translation will be (13,2) and (13,4).
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The mean price of a gallon of milk at various stores is $2.60 with a standard deviation of $0.15. If the cost of milk at Target is 3 standard
deviations above the mean, how much does it cost?
Answer: The cost of milk at Target is 3 standard deviations above the mean = $3.05.
Step-by-step explanation:
Given: Mean price of a gallon of milk = $2.60
Standard deviation = $0.15
The cost of milk at Target is 3 standard deviations above the mean = Mean + Standard deviation
= $ (2.60+3(0.15))
=-$(2.60+0.45)
= $ 3.05
Hence, the cost of milk at Target is 3 standard deviations above the mean = $3.05.
-6(x-3)+4x simplify the expression
Answer: -2x+18
Hope this will help :)
Answer:
-2x + 18
Step-by-step explanation:
Simplfy
-6 (x - 3) + 4x
-6x + 18 + 4x Combine liked terms
-2x + 18
Venn diagram is shown below:
What are the elements of (A ∩ B) ' ?
Answer:
1 and 2 are the elements of (A B)
which of the following are true of linear functions?
Answer:
1. 3. 6.
Step-by-step explanation:
Answer:
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function has a constant rate of change.
Step-by-step explanation:
100 plates served. The 1st waiter turnes every plate upside down. Then another waiter turned every other plate. Then the 3d waiter turned every 3d plate. The 4th turned every 4th plate, and so on, until the 100th waiter turned the 100th plate. At the end how many plates are placed normally?
Answer:
At the end of the 100th turn, you have 90 plates placed normally.
Step-by-step explanation:
Not sure if there is a formula to calculate this. I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.
Can anyone solve the his it’s pretty easy but I really don’t feel like doing anything today lol
Answer:
100
Step-by-step explanation:
Yw btw LOL! Ik this answer is probs wrong LOL
Solve the equation.
4 (6 – x) + 4 = 2 (3x + 1) - 6
Answer:
x = 2.4
Step-by-step explanation:
Simplify.
24 - 4x + 4 = 6x + 2 - 6
Combine like terms (24 + 4 = 28, sorry for the confusion!)
28 - 4x = 6x - 4
Add x and add 4 to both sides.
10x = 32
x = 3.2
Answer:
x=3 1/5 or 3.2
Step-by-step explanation:
Solve two sevenths plus seven fourteenths
Answer:
Eleven Fourteenths
Step-by-step explanation:
Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14
Answer:
c
Step-by-step explanation:
i took the test
cooper's jump rope is for 4 2/5. luke's jump rope is 4 3/4 ft long. whose jump rope is longer? how much longer? show your work
Answer:
Juke's jump; by 0.35 feet
Step-by-step explanation:
Given that,
Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.
Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.
Cooper's jump is :
[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]
Juke's jump is
[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]
So, it is clear that Juke's jump is longer than Cooper's jump.
Juke's jump - Cooper's jump = 4.75 - 4.4
= 0.35 feet
or
So, Juke's jump is 375 feet longer.
is 3 months enough time to complete 300 assignments? my school is online and requires you to complete a certain amount of assignments each semester.
Answer:
ya if you do 3 a day
Step-by-step explanation:
Answer:
yes it is enough time you would have to do 25 assignments aweek
Step-by-step explanation:
Problem:
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.
Answer:
The answer is: y = 9.25x
Step-by-step explanation:
Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.
Here, m is the constant of proportionality and we have to find its value.
Given that Craig earns $37 for 4 hours duty.
So, from equation (1), we have 37 = 4m, ⇒ m = 9.25
Therefore, the equation becomes y = 9.25x. (Answer)
finding integral from derivative graph
Simplify the expression.
(6 + 5) x3
A. 16
B. 11
O
C. 33
D. 21
SUBA
Answer:
C. 33
Step-by-step explanation:
(-3, 7) and (6, -8) linear equations
HELP!!!!! PLEASE! The length of 1 year on Uranus is a little more than 84 years on Earth. About how many Uranus years are equal to 175 Earth years?
Answer:
About 2.08 Uranus years is equal to 175 Earth years
Step-by-step explanation:
1 = ?
84 175
175/84 = 2.08
Number of Uranus years are equal to 175 Earth years is 2.08 years.
Given that, The length of 1 year on Uranus is a little more than 84 years on Earth.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the number of years be x
1 : 84 :: x : 175
⇒ 1/84 = x/175
⇒ 84x=175
⇒ x=175/84
⇒ x=2.08 years
Therefore, number of Uranus years are equal to 175 Earth years is 2.08 years.
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What the domain and range please help meee
Answer:
For question 3 on the worksheet Domain is -4<=x<=2 and Range is -4<=y<=4
Step-by-step explanation:
For the domain, we know that the x values are between -4 and 2 and for the Range we know that the y values are between -4 and 4.
find the length of the missing sides round answers to the nearest tenth
Answer:
x= 9.37
y = 17.69
Step-by-step explanation:
in order to find the answer, use the trigonometries.
First finding x which is tan(32) = x/15
x = tan(32)15
and Y is cos(32) = 15/y
y = 15/cos(32)
I hope this helps
A student asks how you can find the quotient and the remainder in a division problem like
593
÷
36
using a calculator that can perform only the four basic operations. How do you respond?
Answer:
16.4722222222
Step-by-step explanation:
The quotient and remainder should be 16 and 17 respectively.
Given that,
The problem is 593 ÷ 36.By using the calculator we can perform the four operations i.e. addition, subtraction, multiplication & division.The division result in the division operator is
593 ÷ 36 = 16.4722So, the quotient is 16.Now the remainder should be
(16.4722 - 16) ×36 = 17
Therefore we can conclude that the quotient and remainder should be 16 and 17 respectively.
Learn more about the division here: brainly.com/question/21416852
pls help it's due in 4 mins
Answer:
The mistake is the height has to be 6
Step-by-step explanation:
A=B times H
A= 11 times 6
A=66 divided by 2
A= 33 units squared
Hopefully this helps!
Answer:
the answer is 6 .....
no need to explain
Create a scenario (word problem) that goes with this equation.
100−3x=74.50 (best answer gets brainliest)
Answer:
I have $100 and I buy 3 lunches, after which I'm left with $74.50. How much does each lunch cost?
87.039 as a mixed number
Answer:
87 39/1000
Step-by-step explanation:
A flying fish deep under the sea dreams to reach the clouds one day the fish is at a depth of 200 feet below sea level right under the clouds it has to fly 6700 feet to reach the clouds how many feet above sea level are the clouds
Answer:
6500
Step-by-step explanation:
6700-200= 6500
6500 ft above sea level
any help will mark brainliest