Answer:
Applying Pythagorean theorem in right triangle with c is longest side and a, b are the other sides:
=> c^2 = a^2 + b^2
=> a^2 = c^2 - b^2
=> b^2 = c^2 - a^2
Hope this helps!
:)
Answer:
c² = a² + b²
a² = c² - b²
b² = c² - a²
calculate are of triangle
Answer:
A = 1/2 b*h
b = 6
h = 6
A = 1/2*36
A = 18 cm^2
The answer is 18 cm^2.
Hope this helps
Find the sum. Write your answer in simplest form. 1 1/2 + 2 3/10
Answer:
[tex] = 3 \frac{4}{5} \\ [/tex]
Step-by-step explanation:
[tex] 1\frac{1}{2} + 2 \frac{3}{10} \\ \frac{3}{2} + \frac{23}{10} \\ \frac{15 + 23}{10} \\ = \frac{38}{10} \\ = 3 \frac{8}{10 } \\ = 3 \frac{4}{5} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which addition does the model below represent? A number line going from negative 5 to positive 5. Negative 1 to positive 3 is highlighted, and 0 to positive 3 is highlighted. 3 + (negative 1) 3 + 4 3 + (negative 4) 3 + 1
Answer:
I think it's 3+(-1) sorry if it's wong.
Step-by-step explanation:
Answer:
A or C
Step-by-step explanation:
Last week, Jason ran 26.1. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality. He wrote: 2.4 + 4p + 2.4 __ 26.1
Which inequality symbol should be use? Why?
Step-by-step explanation:
>
Since he wanted to run farther this week so the last week 26.1 which is the distance he ran is less than the distance of this week
Hope this helps...
Answer:
Use the greater than symbol.
His goal does not include running exactly 26.1 miles; he needs to run more than 26.1 miles.
Equality should not be part of the solution set.
Step-by-step explanation:
plzzzzzzzzzzzzzzzz Help Marshmello i wasn't born yesterday.
Answer:
82.45
Step-by-step explanation:
The price of the purse is 75.99 and tax is 8.5%
Tax = price time tax rate
tax = 75.99*.085
tax =6.45915
Rounding to the nearest cent
tax = 6.46
Add this to the price of the purse
total cost = 75.99+6.46
82.45
Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t) decreases at a rate that is proportional to the amount of the drug that is present at the time. Thus C 0 (t) = −2kC(t), where 2k is a positive number. Here is it is half of the elimination constant of the drug. (a) If Co is the concentration at time t = 0, find the concentration at time . (b) If the body eliminates half the drug in 30 hours, how long does it take to eliminate 80% of the drug?
Answer:
See explanation below
Step-by-step explanation:
In this case, let's answer this by parts:
a) Concentration at time t when Co is concentration at t = 0:
In this case, we will use the initial expression but without the 2, so:
C(t) = -kC
In this case, we want to know the concentration at time t so:
C'(t) = -kC(t) derivating:
dC/dt = -kC
dC/C = -kdt From here, we can do integrals so:
lnC = -kt + C₁ (1)
Now, it's time to replace t = 0 and C = C₀:
lnC₀ = -k(0) + C₁
lnC₀ = C₁ (2)
Replacing (2) in (1) we have:
lnC = -kt + lnC₀
lnC - lnC₀ = -kt
ln(C/C₀) = -kt
C/C₀ = e^(-kt)
C(t) = C₀ e^(-kt) (3)
This is the expression for C at given time t.
2. time to eliminate 80% of the drug:
With the first data, we need to calculate the value of k, which will be constant at any given time so:
C(t) = C₀ e^(-kt)
0.5C₀ = C₀ e^(-30k)
0.5 = e^(-30k)
ln(0.5) = -30k
k = 0.02310
Now with this value we can calculate the time to eliminate 80% of the drug or simply in other words, that we just have a remaining of 0.2C₀:
0.2C₀ = C₀ e^(-0.0231t)
ln(0.2) = -0.0231t
-ln(0.2) / 0.0231 = t
t = 69.67 h
This is the time to eliminate 80% of the drug
Which is correct ? ^^^^
Answer:
c
Step-by-step explanation:
C because your looking for y*48 which is 48y. It is c because (y*40)+(y*8) gives you 40y+8y which equals 48y.
Answer:
C.
Step-by-step explanation:
(y•40)+(y•8)
40y+8y
48y
48•y
A man loses 20 percent by selling an article for 11. What was the cost price of the article
Answer:
11.2
Step-by-step explanation:
Because
x-20%=11
x-0.2=11
x=11.2
HELP ME NOW PLS!!!!!
Answer:
1
Step-by-step explanation:
A rectangle is formed with opposite unique sides , the rectangle formed can only be 1.
See the diagram attachment for you to get the picture;
What is the length of arc AB? 6π cm 12π cm 18π cm 36π cm
Answer:
6π cm
Attached is the missing image
Step-by-step explanation:
The circumference of a circle can be expressed as;
C = 2πr
The length of an arc with angle ∅ (in radian) can be expressed as;
Arc Length = radius × radian angle
L = r∅
Given; from the attached image
Radius r = 18 cm
Radian angle ∅ = π/3 radians
Substituting the values;
Arc length L = 18cm × π/3 = 18/3 π cm
Arc length L = 6π cm
Answer:
its A
Step-by-step explanation:
6 CM
You have a summer job that pays double for working overtime. Overtime is determined as the
number of hours over 20 hours you work in ane week. Your regular pay is $5 per hour for the
first 20 hours you work in one week.
Write a piecewise function to represent the amount of your weekly paycheck p(h)
Answer:
Step-by-step explanation:
For 20 hours a week, I earn $15 per hour, and I earn $15,600 annually. As noted on my W-4 form, I can assert my exemptions. Every year the Internal Revenue Service declares allowances for exemptions. A single person's current allowance for one exception is $3,950. I may assert another exemption for a partner of $ 3,950. At $3,950 each, I can also assert exemptions for any dependents. Suppose my contribution is 10 percent to a 401(k) retirement plan: $15,600-$1,560 = 14,040 dollars I am single, so on my W-4 form, I claimed one exemption which I submitted to my employer: 14,040-3,950 dollars = 10,090 dollars My gross revenue (minus exemptions and deductions) is therefore $ 10,090. Currently based on $10,090, I can measure the federal income tax, social security, and other withholdings My employer withholds federal tax, tax on social security, and tax on Medicare cash. For 2015, the federal income tax brackets are as follows: Tax Rate Taxable Income Levels 10% $0–$9,225 15% $9,226–$37,450 25% $37,451–$90,750 28% $90,751–$189,300 33% $189,301–$411,500 35% $411,501–$413,200 39.60% Above $413,200 The tax bracket for my income is 15 percent. However, I am not taxed 15 percent on the entire amount. I will be taxed 10 percent for the first $9,225 dollars earned. Then, I will be taxed 15 percent on the remaining amount: 10 percent of 9,225 = $922.50 15 percent of ($10,090 – $9,225) = $129.75 Total income tax = $1,522.25 Thus, my income minus federal tax ($10,090 – $1,522.25) is $9,037.75. The Social Security tax is 6.2 percent, and the Medicare tax is 1.45 percent. These taxes are calculated based on my gross income: 6.2 percent of $15,600 = $967.20 1.45 percent of $15,600 = $226.20 Thus, my net pay will be: $9,037.75 – (967.20 + 226.20) = $7,844.35.
helpp degrees, minutes, and seconds
Answer:
3) 174°15'18"
4) 34.859722...(repeating)°
5) 434°, -286°
Step-by-step explanation:
There are 60 minutes in a degree, and 60 seconds in a minute.
3) To find minutes, multiply fractional degrees by 60:
.255° = 0.255°×(60'/1°) = 15.3'
To find seconds, multiply fractional minutes by 60:
0.3' = 0.3'×(60"/1') = 18"
Then the whole angle is ...
174.255° = 174° 15' 18"
__
4) The conversion works the other way, too.
34° 51' 35" = 34° +51(1/60)° +35(1/3600)° = (34 619/720)°
= 34.8597222...° (a repeating decimal)
__
5) Add or subtract multiples of 360° to get co-terminal angles.
74° +360° = 434°
74° -360° = -286°
About 24% of flights departing from New York’s John F. Kennedy International Airport were delayed in 2009. Assuming that the chance of a flight being delayed has stayed constant at 24%, we are interested in finding the probability of 10 out of the next 100 departing flights being delayed. Noting that if one flight is delayed, the next flight is more likely to be delayed, which of the following statements is correct? Group of answer choices
Answer:
Step-by-step explanation:
The question is incomplete. The missing part is:
(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability. (B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability. (C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability
Solution:
In binomial probability, the assumption is that there is only one outcome for each trial. This is because the probability of success or failure is constant. Each trial is also independent of the other trial. This means that the probability of event A happening does not depend on the outcome of event B.
In the given scenario, the probability of a flight being delayed depends on the probability of the previous flight being delayed. It means that the outcomes are not independent. In geometric probability, a trial is repeated until success is achieved. The outcomes are also independent. Therefore, the correct option is
(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.
The statement that is correct would be:
C). We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.
Binomial probabilityIn the case of binomial probability, it is assumed that the outcome occurring for every trial would remain 1 only because there is consistency in terms of success or defeat.
This implies that the outcome of one will not impact the other's result.
Since the third statement shows that there is no possibility of estimating the probability by employing the method of binomial distribution as one flight's taking off or delay will not impact the other and they remain independent.
Thus, option C is the correct answer.
Learn more about "Probability" here:
brainly.com/question/795909
The options are missing in the question. They are provided as follows:
(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.
(B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability.
(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability
In ΔGHI, h = 760 inches, ∠G=43° and ∠H=26°. Find the length of i, to the nearest inch.
Answer:
1619
Step-by-step explanation:
I = 180 - 43 - 26 = 111
using sine rule
[tex]\frac{i}{sin 111} = \frac{760}{sin 26}[/tex]
i = 1618.5 = 1619
Answer:
Step-by-step explanation:
400 times 7.50, step by step explanation
Answer:
3000
Step-by-step explanation:
Just mulitiply 400 by 750 and you get 300000
then you put back the decimal place
3000.00
so it is 3000
Explain how you could use paperfolding to divide a line segment into four segments of equal length
What is Trigonometry
hey!!!
Here's your answer;
The word trigonometry is derived from two Greek words trigon and metron. Trigono means triangle and metron means measurement. Therefore in literal terms trigonometry is the measurement of the angles of a triangle. The application of trigonometry is very vast.It is used in measuring eight and distance, surveys,Map making, astronomy, engineering etc.
The longest side,which is the opposite side of right angle is the hypotenuse.There are two other side's,the opposite and the adjacent.The naming of these sides depends upon which angle is involved.The opposite is the side opposite the angle involved and it is called the perpendicular.
The adjacent is the side next to the angle involved(but not the hypotenuse) and it is called base.
Hope it helps.......2. A hotel has 18 floors. The hotel owner believes the number 13 is
unlucky. The first 12 floors are numbered from 1 to 12. Floor 13 is
numbered 14, and the remaining floors are numbered from 15 to 19.
The hotel manager starts on the top floor of the apartment building. He
rides the elevator two floors down. The doors open and a hotel guest
gets in. They ride the elevator three floors down. The hotel guest gets
off the elevator. The hotel manager rides the elevator the remaining
floors down to the first floor. On what floor did the hotel guest get off the elevator? Explain.
What is the answer for B?
Answer:
See below
Step-by-step explanation:
The manager rides down 2 floors from 19 floor which means he stops at floor 17, the floor he rides down as negative integer = -2. Then, he rides down 3 floors and it means he stops at floor 14. This means the number of floors he rides down from there = -3
then he rides to the first floor as there is no number 13 floor it means he rides down 12 floor = -12
the addition expression using negative integers to show the number of total floors the hotel manager rode down the elevator = -2 + (-3) + (-12) = -17
find the term to term rules for the following sequences 28, 25 ,22, 19, 16
Answer:
-3n+31
Step-by-step explanation:
ok
The nth term of the sequence 28, 25 ,22, 19, 16 is aₙ=31-3n.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given sequence is 28, 25 ,22, 19, 16
Twenty eight comma twenty five comma twenty two comma nineteen comma sixteen.
The sequence is an arithmetic sequence as there is a common difference between consecutive terms.
The first term is a=28
Common difference =25-28=-3
aₙ=28+(n-1)(-3)
aₙ=28-(n-1)(3)
aₙ=28-3n+3
aₙ=31-3n
Hence the nth term of the sequence 28, 25 ,22, 19, 16 is aₙ=31-3n.
To learn more on Sequence click:
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Greg is practicing ice hockey. He usually makes 7 out of 12 shots. What is the probability that Greg will not make his next shot? Express your answer as a fraction in simplest form.
Answer:percentage answer is 41.7% and for the fractions its 5/12
Step-by-step explanation:
for percentage to need to get the fraction to where the twelve in 7/12 is 100 so you multiply 8.3 to 12 and get 100 but you need to multiply it to the top too so you're left with 58.3/100 but that's the fraction of the goal made so what you do is subtract 58.3 from one hundred and you get 41.7 making your total 41.7%.
the way to solve the fraction is to start by subtracting the overall point to the points made and the sum would be the points missed and the point missed are 5/12 and that fraction is simplified to the max
ome Spring 2020
Englis
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
38 x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answer:the first choice
Step-by-step explanation:
The test has 29 problems. That means x problems + y problems =29
The x problems are worth 5 points. So that’s 5x. The y problems are worth 2 points. So that’s 2y. The total the points add up to is 100. So 5x+2y=100
The first answer choice shows that
Answer:
A
Step-by-step explanation:
x + y = 29, 5x + 2y = 100
un cono mide 3 pulgadas de diámetro. a este cono le caben 12 pulgadas cúbicas de agua. redondeada a la pulgada más cercana. ¿ cuál es la altura del cono?
Please answer number 1 I give brainliest thank you!
Answer:
Step-by-step explanation:
79+80+92+92+81+100+88+98+71+100+91+90
=1,062/12 = 88.5
Answer:
Option C
Step-by-step explanation:
Add all grades together:
79 + 80 + 92 + 92 + 81 + 100 + 88 + 98 + 71 + 100 + 91 + 90 = 1062
Divide the total by the number of grades in the set:
1062/12 = 88.5
The average of the grades is 88.5%, therefore Option C should be the correct answer.
Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 3^x + 1
Answer:
3
Step-by-step explanation:
f(x) has the variable in the exponent, so is an exponential function.
The base is 3.
__
The base is what is being raised to the power of x.
What’s the answers
Answer:
Look below
Step-by-step explanation:
Since the opposite sides are congruent then the figure is a parallelogram.
The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store sells plastic plates in packages of fteen for ve dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?
Answer:
7 packs for $40.60
Step-by-step explanation:
Answer:why are you trolling ppls answers? Don't you have better things to do?
Step-by-step explanation:
Which measurement is most accurate to describe the weight of an apple
Answer: (BRAINLIEST PLEASE)
120 g.
Step-by-step explanation:
Answer:
1/4 of a pound
Step-by-step explanation:
What is the number of possible permutations of 6 objects taken 3 at a time?
Answer:
120
Step-by-step explanation:
The formula for permutations is n!/(n-r)!.
6=n and 3=r, and if you plug those numbers in you would get 120
01:11:0
What is the final step in solving the inequality -2(5 - 4x)<
6x – 4?
o x < -3
x> 3
Step-by-step explanation:
-10 + 8x < 6x - 4
Bringing like terms on one side
8x - 6x < - 4 + 10
2x < 6
x < 6/2
x < 3
You need to make 9 sourdough loaves, one sourdough loaf requires 500 grams of dough How many kilograms of dough do you need
Answer:
4.5 Kg
Step-by-step explanation:
Given that 500 gms of dough is required to make one sourdough loaf.
And we need 9 such loaves.
We can find the required weight of dough simply by adding 500 gms , 9 times.
i.e. 500 gms + 500 gms + 500 gms + 500 gms + 500 gms + 500 gms + 500 gms + 500 gms + 500 gms = 4500 gms.
Or we can simply multiply 500 gms by 9 to get 4500 gms.
We know that 1 kilogram = 1000 grams.
So, dividing 4500 grams by 1000 to convert into kilogram.
[tex]\Rightarrow \dfrac{4500} {1000}\\\Rightarrow 4.5 kg[/tex]
So, the required weight of dough for making 9 sourdough loaves is 4.5 kg.