Answer:
1. 75%
2. 20%
3. 20%
4. decrease 5.4%
Step-by-step explanation:
1. 119-68=51, 51/68=0.75
2. 30-24=6, 6/30=0.20
3. 18-15=3, 3/15=0.20
4. 762-721=41, 41/762=0.0538
Divide. 91,235 ÷ 4 (show ur work long divison)
Answer:
22808
Step-by-step explanation:
2 2 8 0 8
4 9 1 2 3 5
− 8
1 1
− 8
3 2
− 3 2
0 3
− 0
3 5
− 3 2
3
Answer:
22,808 R3 (Remainder)
Step-by-step explanation:
Step By Step in picture
question is in the picture :) please help I missed the lesson and my teacher isnt any help :/
Answer:
x = 23
Step-by-step explanation:
This entire angle makes up 90° b/c of the square box
65 + x + 2 = 90
x + 67 = 90
x = 23
Answer: x=23
Step-by-step explanation:
This is a right angle. A right angle is 90°. It already gives us 65°. So 90-65=25°. We now know (x+2) ° = 25°. 25-2=23.
We can prove this is correct by answering the problem they gave us. (23+2) is 25. 25+65=90° 90° is a right triangle which also happens to be the triangle they have shown us.
A tower made of wooden blocks measures114 feet high. Then a block is added that increases the height of the tower by 8 inches.
What is the final height of the block tower?
Responses
9 1\4 in.
10 in.
18 in.
23 in.
8) A plum grower finds that if she plants 26 trees per acre, each tree will yield 126 bushels of plums. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest and what is the maximum harvest?
The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.
The yield of each tree can be represented by the equation:
Yield = 126 - 2x
The total yield per acre is then given by:
Total Yield = (26 + x) * (126 - 2x)
To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.
Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:
d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0
Simplifying the equation, we get:
-4x + 252 - 52 - 2x = 0
-6x + 200 = 0
x = 200/6
x ≈ 33.33
Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.
To find the maximum harvest, we substitute the value of x into the equation for the total yield:
Total Yield = (26 + 33) * (126 - 2 * 33)
Total Yield ≈ 59 * 60
Total Yield ≈ 3540 bushels
Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
Learn more about harvest here:
brainly.com/question/16953777
#SPJ11
12. The surface area of a cube is 24 cm².
(i) Find the length of its edge.
(ii) Find its volume.
Answer:
Given :-surface area of a cube is 24 cm².
To find :-➡Edge length = ?
➡ volume = ?
Formula usedTotal Surface Area = 6(edge)²
Volume of cube = (edge)³
Solution:-i) surface area of a cube is 24 cm²
⇒ 6(edge)² = 24
⇒ (edge)² = 24/6
⇒ (edge)² = 4
⇒ (edge) = √4 = + 2 ( as edge length cannot be negative)
Hence, edge of the cube is 2 cm
ii) volume = ?
volume= (edge)³
volume = (2)³
volume = 8 cm³
Hense, volume of the cube is 8cm³
Additional information--Cube: A cube is a three-dimensional shape that is defined in the XYZ plane. It has six faces, eight vertices and twelve edges. All the faces of the cube are square in shape and have equal dimensions.Formulae:-Cube:-Total Surface Area = 6(edge)²Lateral Surface Area = 4 (edge)²Volume of cube = (edge)³Diagonal of a cube = √3(edge)Perimeter of cube = 12 × edge.\( \large \:\sf \underline{Explanation.}\)
\(\sf{\underline{Given}}\)
\( \sf \: surface \: area \: = \: 24 {cm}^{2} \)\(\sf{\underline{Formula}}\)
TSA = 6a²Volume = a³\( \sf \: {Let's \: Begin}\)
(i) Find the length of its edge.
Let edge = x
We know that,
TSA of cube = 6a²
6a² = 24
a² = 24/6
a² = 4
a = √ 4 { Ignore negative value}
a = 2
\( \bf \pink{length \: of \: edge \: \: = \: 2 \: cm}\)
(ii) Find its volume.
We know that,
(2)³
= 8
\( \bf \green{volume \: = \: 8 \: cm {}^{3} }\)
Thus ,
Edge = 2 cmVolume = 8 cm³\( \red {\rule{ \170pt}{4pt}}\)
Find:11/3 ÷ 2/3
the quotient is 5 and _____
Answer:
5.5 quotient 5 and rest 1
But I would answer quotient is 5 and half
Step-by-step explanation:
11/3 ÷ 2/3 = 11/3 * 3/2 = 11/2= 5.5
So the quotient is 5 and rest is 1
Hope this helps, have a good day
Answer:
5 1/2
Step-by-step explanation:
11/3÷2/3
Applying the fractions formula for division,
=11/3×3/2
=33/6
Simplifying 33/6, the answer is
=5 1/2
please help me with this and explain
A computer processes tasks in the order they are received. Each task takes an Exponential amount of time with the average of 2 minutes. Compute the probability that a package of 5 tasks is processed in less than 8 minutes.
The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.
The probability of X being less than 8 minutes is given by:
P(X ≤ 8) = 1 - P(X > 8)
= \(1 - (1 - e^{(-8/2)}^{5}\)
= 0.963
Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ4
5 There are 150 men and 250 women in a crowd.
a What fraction of the crowd are men?
Write your answer in its simplest possible form.
b The ratio of married women to unmarried women is 3 to 2.
How many married women are in the crowd?
C More men arrive. The number of men increases by 20%.
How many men are in the crowd now?
d Some of the women leave.
There are now 60 women in the crowd.
What percentage of the women leave?
Answer:
men=150
women=250
total=400
Step-by-step explanation:
a) fraction of men
men/total=150/400=15/40
men/total =3/8
b)let married be x
so unmarried wil be 250-x
married/unmarried=3/2
x / 250-x =3/2
x =3(250-x)/2
2x =750-3x
5x=750
x=750/5
x =150
married =150
unmarried=250-150=100
c)20% of men will be :20x150
100
: 30
no of men =150+20%
=150+30
=180
d)no. of women decreased=250-60
=190
percentage of women leaved=% x 250
100
190x100/250=%
76 =%
76% women leaved
It took too much time
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
DO FOLOW
help
Fill in the blank. (Simplify your answer completely.) 6 yd 3 ft 7 in. = in.
The answer is 231 inches.
To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.
Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.
Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.
Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.
To learn more about measurement click here:
brainly.com/question/2107310
#SPJ11
A. -6
B. -1
C. 1
D. 6
Please help quizzz
Answer:
D
Step-by-step explanation:
how would you solve 4x - 3y = 78 2x + 3y = 48 by elimination
Answer:
x = 21, y = 2
Step-by-step explanation:
4x- 3y = 78....(1)
2x + 3y = 48 ...(2)
Adding eqiautions (1) and (2)
4x- 3y = 78
2x + 3y = 48
-----------------------
6x + 0 = 126....(Here y has been eliminated)
6x = 126
\( x= \frac{126}{6}\\\\
\therefore x = 21\\\)
Plugging x = 21 in equation (2) we find:
2 * 21 + 3y = 48
42 + 3y = 48
3y = 48 - 42
3y = 6
\( y= \frac{6}{3}\\\\
\therefore y = 2\\\)
calculate the value of the interquartile range for the following subsample: 24, 27, 35, 31, 21, 22, 28, 18, 25, 24, 36, 20.
The value of the interquartile range for the given subsample is 8.
The interquartile range (IQR) is a measure of the dispersion of a set of observations. It is defined as the difference between the third quartile and the first quartile (Q3-Q1). The subsample data is as follows: 24, 27, 35, 31, 21, 22, 28, 18, 25, 24, 36, 20. The interquartile range for the subsample data can be computed as follows:
Step 1: Arrange the data in ascending order: 18, 20, 21, 22, 24, 24, 25, 27, 28, 31, 35, 36.
Step 2: Find the median of the lower half of the data, which is called the first quartile, Q1. Here, the lower half of the data is 18, 20, 21, 22, 24, and 24. Hence, the median of the lower half of the data is the average of the two middle values, which is Q1 = (22 + 21)/2 = 21.5.
Step 3: Find the median of the upper half of the data, which is called the third quartile, Q3. Here, the upper half of the data is 24, 25, 27, 28, 31, 35, and 36. Hence, the median of the upper half of the data is the average of the two middle values, which is Q3 = (28 + 31)/2 = 29.5.
Step 4: Calculate the interquartile range as the difference between the third quartile and the first quartile: IQR = Q3 - Q1 = 29.5 - 21.5 = 8.
Therefore, the value of the interquartile range for the given subsample is 8.
To learn more about interquartile range visit : https://brainly.com/question/1210750
#SPJ11
Which of the following expressions is equal to 1 – cos4 θ? 1) 2sin2 θ – sin4 θ2) sin2 θ – sin4 θ3) -2sin2 θ – sin4 θ4) 2sin2 θ + sin4 θ
We have to remember that:
\(\cos ^2\theta=1-\sin ^2\theta\)Then we have that:
\(\begin{gathered} 1-\cos ^4\theta=1-(\cos ^2\theta)^2 \\ =1-(1-\sin ^2\theta)^2 \\ =1-(1-2\sin ^2\theta+\sin ^4\theta) \\ =2\sin ^2\theta-\sin ^4\theta \end{gathered}\)Therefore the answer is 1
someone please helppp, i have 2 days to do 28 assignments plus a final exam
NO LINKS OR FILES OR YOU WILL BE REPORTED
9
Step-by-step explanation:
1 = x^2 - 6x
Adding 9 to both sides, we get
1 + 9 = x^2 - 6x + 9
10 = (x - 3)^2
Note that the right hand side is now a perfect square.
question six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. of the six countries, if country a sent the second greatest number of representatives, did country a send at least 10 representatives?
(1) One of the six countries sent 41 representatives to the congress --> obviously x6=41x6=41 --> x1+x2+x3+x4+A=34x1+x2+x3+x4+A=34.
Given: x1<x2<x3<x4<A<x6x1<x2<x3<x4<A<x6 and x1+x2+x3+x4+A+x6=75x1+x2+x3+x4+A+x6=75. Q: is A≥10A≥10
Can A≥10A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11 --> sum=34sum=34 (answer to the question YES);
Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9 --> sum=34sum=34 (answer to the question NO).
(2) Country A sent fewer than 12 representatives to the congress --> A<12A<12.
The same breakdown works here as well:
Can 12>A≥1012>A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11, x6=41x6=41 --> sum=75sum=75 (answer to the question YES);
Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9, x6=41x6=41 --> sum=75sum=75 (answer to the question NO).
(1)+(2) The given examples fit in both statements and A in one is more than 10 and in another less than 10. Not sufficient.
The expression below represents Brianna’s age in
terms of m, Molly’s age.
3m − 5
Which of the following statements must be true?
A Brianna’s age is 3 less than 5 times Molly’s
age.
B Brianna’s age is 5 less than 3 times Molly’s
age.
C Molly’s age is 3 less than 5 times Brianna’s
age.
D Molly’s age is 5 less than 3 times Brianna’s
age.
Answer: B. Brianna’s age is 5 less than 3 times Molly age.
Step-by-step explanation:
We are informed that the expression below represents Brianna’s age in
terms of m, Molly’s age.
3m − 5.
This shows that 3m simply means that 3 times of Molly's age while the -5 represent less than 5. This will now be:
Brianna’s age is 5 less than 3 times Molly age.
HELP! ANSWER AS SOON AS POSSIBLE ASAP!
Answer: D
Step-by-step explanation:
not sure if this is correct but thats what i got for the answer
Stacy reasons that since dilations change lengths they also change angles by the same factor. Is she correct? If not, explain why, I will list brainlist if you reply fast
Answer:
Stacy is incorrect. Dilations do not affect the angles of a given figure since dilations create parallel lines and the angles on parallel lines are congruent.
Step-by-step explanation:
just took the quiz :)
Having which of the following is a trait for a architectural designer
Answer:
Architect Characteristics
Negotiation Skills
Love of Learning
Broad Knowledge
Love of Nature
Hard Workers
Step-by-step explanation:
Frankie bought 5/6 of a pound of beans from the farmers market. He wants to divide the beans into 1/3 pound bags. How many bags can he make?
Step-by-step explanation:
to compare 5/6 and 1/3 we need to bring both fractions to the same denominator (bottom part of a fraction).
in other words, 1/3 needs to become x/6.
so, what do we need to do to bring 3 to 6 ? we multiply by 2.
and then we need to multiply also the numerator (top part) by the same 2, so that all we do is multiplying 1/3 by 2/2 and keep the value of the fraction unchanged.
1/3 × 2/2 = 2/6
and we compare 5/6 with 2/6.
how many 2/6 pound bags can he make out of 5/6 pounds ?
2 (2 × 2/6 = 4/6).
so, he can make 2 bags and has 1/6 pound left.
5/8 menos 1/2 cual es el resultado en fraccion
Answer:
4/6 supongo,.que me dices
Answer:
2/3 reducía
Step-by-step explanation:
Can someone help me please???
Answer:
1. CHECK
2. CHECK
Step-by-step explanation:
i hole it helps
help brainliest if right
Answer:
8
Step-by-step explanation:
Answer:
the answer is 8
PLEASE GIVE BRAINLIST
find each of the following functions and state their domains. (enter the domains in interval notation.) f(x) = x3 2x2, g(x) = 5x2 − 2
The domain of f(x) is (-∞, ∞) and the domain of g(x) is (-∞, ∞).
To find the domain of a function, we need to identify all the values of x for which the function is defined or exists.
In this question, we need to find the domains of two function\(f(x) = x^3 - 2x^2\) and\(g(x) = 5x^2 - 2.\)
Let's look at each function separately. \(f(x) = x^3 - 2x^2\)
To find the domain of this function, we need to identify all the values of x for which the function is defined or exists.
Since x³ and x² are defined for all values of x, we only need to look at the denominator, which is not present in this function.
Therefore, the domain of f(x) is all real numbers, or (-∞, ∞) in interval notation. g(x) = 5x² - 2:
To find the domain of this function, we need to identify all the values of x for which the function is defined or exists.
Since x² is defined for all values of x, we only need to look at the denominator, which is not present in this function.
Therefore, the domain of g(x) is all real numbers, or (-∞, ∞) in interval notation.
Know more about the domain
https://brainly.com/question/28934802
#SPJ11
What number must you add to complete the square?2++ 24x = 50Answer here
we have
x^2+24x=50
complete the square
(x^2+24x+12^2-12^2)=50
x^2+24x+144=50+144
(x+12)^2=194
therefore
you must add 144 both sidesBacteria are growing exponentially in an environment of unlimited space and food. The doubling time is 1 hour.a. If there are initially x milligrams of bacteria, express the mass of the bacteria as a function of time t.b. Use your answer to (a) to write down an equation whose solution is the time at which there are 3x milligrams of bacteria.c. Solve your equation from (b)
Answer:
Step-by-step explanation:
Our equation is
\(b(t)=x(2)^t\) where x is the initial amount and the growth rate is 2 (doubling). t is time in hours.
For part b
\(3x=x(2)^t\) which is asking how long it will take for the initial x amount of bacteria to grow to 3 times in size.
Divide both sides by x to get
\(3=2^t\) then take the ln of each side in order to bring down the t from its exponential position:
\(ln(3)=t*ln(2)\)
Divide both sides by ln(2) to get the value for t on your calculator.
t = 1.58 hours
Two trains leave the city going opposite directions, one going north and the other going south. The northbound train is traveling 14 mph slower than the southbound train. After 3 hours the trains are 498 miles apart. Find the speed of each train
Let the speed of the southbound train be x mph. then the speed of the northbound train will be x - 14 mph.
Both trains are traveling in the opposite direction and going away from each other.
The distance traveled by southbound train in 3 hours will be 3x miles. The distance traveled by southbound train will be 3(x - 14) miles.
Therefore, the sum of distance covered by both the trains will be equal to 498 miles.
\(\begin{gathered} 3x+3(x-14)=498 \\ 3x+3x-42=498 \\ 6x-42=498 \\ 6x-42+42=498+42 \\ 6x=540 \\ x=90 \end{gathered}\)Thus, the speed of the southbound train is 90 mph and the speed of the northbound train is 76 mph.
Where is the horizontal center of mass of the entire upper extremity?
Answer:
can you tell me please
Step-by-step explanation:
nicest
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function:
f(x)=.075x+.2,3≤x≤5
0 otherwise
a. Graph the pdf and verify that the total area under the density curve is indeed 1.
b. Calculate P(X≤4)How does this probability compare to P(X<4)?
c. Calculate P(3.5≤x≤4.5) and also P(4.5
The solution of the given problem of probability comes out to be
a)0.35
b)0.3625
c)0.23125
What precisely is involved in the probability?The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance integers can be represented by any number between 0 and 1, for which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
(a) we can compute the integral of f(x) over the entire real line:
integral from -infinity to infinity of f(x) dx
= integral from -infinity to 3 of 0 dx + integral from 3 to 5 of (0.075x + 0.2) dx + integral from 5 to infinity of 0 dx
= (0.075/2)x² + 0.2x, evaluated from x=3 to x=5
= (0.075/2)(5²- 3²+ 0.2(5 - 3)= 0.35
Since the integral of f(x) over the entire real line is equal to 1, we have verified that the total area under the density curve is indeed 1.
(b) To calculate P(X ≤ 4), we can integrate the density function from x = 3 to x = 4:
P(X ≤ 4) = integral from 3 to 4 of (0.075x + 0.2)
dx = (0.075/2)x² + 0.2x,
evaluated from x=3 to x=4
= 0.3625
To compare this probability to P(X & lt; 4),
we can integrate the density function from x = 3 to x = 4:
P(X < 4) = integral from 3 to 4 of (0.075x + 0.2)
dx = (0.075/2) x²+ 0.2x,
evaluated from x=3 to x=4
= 0.3625
Since P(X ≤ 4) = P(X < 4) in this case, the two probabilities are equal.
(c) To calculate P(3.5 ≤ X ≤ 4.5), we can integrate the density function from x = 3.5 to x = 4.5:
P(3.5 ≤ X ≤ 4.5) = integral from 3.5 to 4.5 of (0.075x + 0.2)
dx = (0.075/2)x²+ 0.2x,
evaluated from x=3.5 to x=4.5
= 0.26875
To calculate P(X > 4.5), we can integrate the density function from x = 4.5 to x = 5:
P(X > 4.5) = integral from 4.5 to 5 of (0.075x + 0.2)
dx = (0.075/2)x²+ 0.2x,
evaluated from x=4.5 to x=5 = 0.23125
To know more about probability visit:
brainly.com/question/11234923
#SPJ4