Answer:
it's easy
Step-by-step explanation:
first take a deep breath and then search it
–5 < 2x – 1 < 3 solve?? help aap
Answer:
Step-by-step explanation:
To solve the inequality -5 < 2x - 1 < 3, we will break it down into two separate inequalities and solve each one individually.
First, let's solve the left inequality:
-5 < 2x - 1
Add 1 to both sides:
-5 + 1 < 2x - 1 + 1
-4 < 2x
Divide both sides by 2 (remembering to reverse the inequality when dividing by a negative number):
-4/2 < 2x/2
-2 < x
Now, let's solve the right inequality:
2x - 1 < 3
Add 1 to both sides:
2x - 1 + 1 < 3 + 1
2x < 4
Divide both sides by 2:
2x/2 < 4/2
x < 2
So, the solutions to the inequalities are:
-2 < x < 2
This means that x is greater than -2 and less than 2.
The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number $y$. This number $n$ also results by adding 9 to the third number $z$. What is the product of the three numbers?
Answer:
Step-by-step explanation:
Let's break down the given information step by step to solve the problem:
The sum of three numbers x, y, and z is 165: x + y + z = 165.
When the smallest number x is multiplied by 7, the result is n: 7x = n.
The value n is obtained by subtracting 9 from the largest number y: y - 9 = n.
The value n is also obtained by adding 9 to the third number z: z + 9 = n.
We can use this information to form a system of equations:
Equation 1: x + y + z = 165
Equation 2: 7x = n
Equation 3: y - 9 = n
Equation 4: z + 9 = n
To find the product of the three numbers, we need to determine the values of x, y, z, and n.
First, let's solve for n using Equation 2:
7x = n
Now, let's substitute the value of n into Equations 3 and 4:
Equation 3: y - 9 = 7x
Equation 4: z + 9 = 7x
We can rearrange Equation 3 to express y in terms of x:
y = 7x + 9
Now, we can substitute the value of y in Equation 1:
x + (7x + 9) + z = 165
Simplifying:
8x + z = 156
Now, we have two equations:
Equation 4: z + 9 = 7x
8x + z = 156
We can solve this system of equations to find the values of x and z:
From Equation 4, we have z = 7x - 9.
Substituting z in Equation 8x + z = 156:
8x + (7x - 9) = 156
15x - 9 = 156
15x = 165
x = 11
Substituting x = 11 in Equation 4:
z + 9 = 7(11)
z + 9 = 77
z = 68
Now, we have the values of x = 11, y = 7x + 9 = 7(11) + 9 = 86, and z = 68.
The product of the three numbers x, y, and z is:
Product = x * y * z = 11 * 86 * 68 = 64648.
Therefore, the product of the three numbers is 64648.
solve the following question
The decay constant for the plutonium is - [ln (0.5 ) / 6300].
option C.
What is the decay constant?The decay constant for the plutonium is calculated by applying the following formula.
The given function for the radioactive decay;
[tex]Q(t) = Q_0e^{-kt}[/tex]
where;
Q(t) is the quantity remaining after a given timeQ₀ is the initial quantityk is the decay constantt is the timeThe decay constant for the plutonium is calculated as;
k = ln(2) / T½
k = ln(2) / 6300
k = ln(0.5⁻¹) / 6300
k = - [ln (0.5 ) / 6300]
Thus, the decay constant for the plutonium is - [ln (0.5 ) / 6300].
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Find the cardinality of the set R₁ \ (R₁ intersection ,)(o a f k q t i s c s, (R₂).Find the value of x, y and z such that the value of polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz-16z + 35 is zero.
Answer:
To find the cardinality of the set R₁ \ (R₁ ∩ R₂), we need the specific values of sets R₁ and R₂. Please provide the values of these sets for a more accurate answer.
Regarding the polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35, we can set it equal to zero and solve for x, y, and z.
2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35 = 0
To solve this equation, we need more information or specific values assigned to the variables x, y, and z. Please provide the values or any additional conditions for finding the values of x, y, and z.
Is f(x)=-x3-x an odd function
The function f(x) = -x³ - x is an odd function.
Is the given function odd, even, or neither?Given the function in the question:
f(x) = -x³ - x
To determine if a function is odd, we need to check if it satisfies the given property:
f(-x) = -f(x)
For all x in the domain of the function.
Given that:
f(x) = -x³ - x
Evaluate f(-x) for the given function f(x) = -x³ - x:
f(x) = -x³ - x
Replace x with -x
f(-x) = -(-x)³ - (-x)
f(-x) = -(-x³) + x
f(-x) = x³ + x
Now, check if -f(x) is equal to x³ + x:
-f(x) = -(-x³ - x)
-f(x) = x³ + x
Since -f(x) = x³ + x, f(x) = -x³ - x is an odd function.
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Let N be the greatest number that will divide 1305,4665 and 6905 leaving the same remainder in each case. What is the sum of the digits in N.
Answer:
4
Step-by-step explanation:
You want the sum of digits of the largest number that divides 1305, 4665, and 6905 with the same remainder.
Largest divisorWe can look at 4665/1305 ≈ 3.57 and 6905/1305 ≈ 5.29 for a clue as to the divisor of interest. These quotients tell us that one possibility is the value that would give quotients of 4 and 6 after the remainder is subtracted from each of the numbers.
For 1305 and 4665, if r is the remainder, we require ...
4(1305 -r) = 4665 -r
5220 -4665 = 4r -r
555/3 = r = 185
If 185 is the remainder in this scenario, then 1305 -185 = 1120 is the divisor. Checking the remainder with 6905, we find ...
6905/1120 = 6 r 185
Sum of digitsThe sum of digits of this divisor is 1 + 1 + 2 + 0 = 4.
The sum of the digits in N is 4.
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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A village P is 12 km from village Q. It takes 3 hours 20 minutes to travel from Q to P and back to Q by a boat. If the boat travels at a speed of 6 km/h from P to Q and (6 + x) km/h back to P, find the value of x.
Answer:
Hope this helps and have a nice day
Step-by-step explanation:
To find the value of x, we can use the formula:
Time = Distance / Speed
Let's calculate the time taken to travel from Q to P and back to Q.
From Q to P:
Distance = 12 km
Speed = 6 km/h
Time taken from Q to P = Distance / Speed = 12 km / 6 km/h = 2 hours
From P to Q:
Distance = 12 km
Speed = (6 + x) km/h
Time taken from P to Q = Distance / Speed = 12 km / (6 + x) km/h
Given that the total time taken for the round trip is 3 hours 20 minutes, we can convert it to hours:
Total time = 3 hours + (20 minutes / 60) hours = 3 + (1/3) hours = 10/3 hours
According to the problem, the total time is the sum of the time from Q to P and from P to Q:
Total time = Time taken from Q to P + Time taken from P to Q
Substituting the values:
10/3 hours = 2 hours + 12 km / (6 + x) km/h
Simplifying the equation:
10/3 = 2 + 12 / (6 + x)
Multiply both sides by (6 + x) to eliminate the denominator:
10(6 + x) = 2(6 + x) + 12
60 + 10x = 12 + 2x + 12
Collecting like terms:
8x = 24
Dividing both sides by 8:
x = 3
Therefore, the value of x is 3.
Answer:
x = 3
Step-by-step explanation:
speed = distance / time
time = distance / speed
Total time from P to Q to P:
T = 3h 20min
P to Q :
s = 6 km/h
d = 12 km
t = d/s
= 12/6
t = 2 h
time remaining t₁ = T - t
= 3h 20min - 2h
= 1 hr 20 min
= 60 + 20 min
= 80 min
t₁ = 80/60 hr
Q to P:
d₁ = 12km
t₁ = 80/60 hr
s₁ = d/t₁
[tex]= \frac{12}{\frac{80}{60} }\\ \\= \frac{12*60}{80}[/tex]
= 9
s₁ = 9 km/h
From question, s₁ = (6 + x)km/h
⇒ 6 + x = 9
⇒ x = 3
pls helpppppppppppppppppp
Answer:
Step-by-step explanation:
Bisector means breaking the segment in half.
answer is A. to have a length exactly half the segment
A shoes delear net birr 8000 worth of shoes from a shoe company.Then,find the amount it is to pay including VAT
The total amount to pay would be 8800 Ethiopian Birr.
To find the amount to pay including VAT, we need to know the applicable VAT rate. VAT, or Value Added Tax, is a consumption tax added to the value of goods and services. The VAT rate can vary from country to country or even within different regions.
Assuming a VAT rate of 10%, we can calculate the VAT amount by multiplying the net value of the shoes by the VAT rate. In this case, the net value of the shoes is 8000 Ethiopian Birr. Therefore, the VAT amount would be 8000 * 0.10 = 800 Ethiopian Birr.
To find the total amount to pay including VAT, we add the VAT amount to the net value of the shoes. Thus, the total amount to pay would be 8000 + 800 = 8800 Ethiopian Birr.
It's important to note that the VAT rate and regulations can vary, so it's always advisable to check the specific VAT rate applicable in a given country or region. Additionally, different goods and services may have different VAT rates or exemptions, so it's crucial to consider the specific rules governing the shoe industry in the relevant jurisdiction.
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find the value of x. 142 3x+22
Answer:
x = 40
you can guess and check.
Amy bought a new car for $21,000
. She paid a 10%
down payment and financed the remaining balance for 36
months with an APR of 3.5%
. Determine the monthly payment that Amy pays. Round your answer to the nearest cent, if necessary.
Answer:
Step-by-step explanation:
To determine the monthly payment Amy pays, we can use the formula for calculating the monthly payment on a loan. The formula is:
M = (P * r * (1 + r)^n) / ((1 + r)^n - 1)
Where:
M = Monthly payment
P = Principal amount (loan amount)
r = Monthly interest rate
n = Number of monthly payments
Given information:
Principal amount (loan amount) = $21,000
Down payment = 10% of $21,000 = $2,100
Remaining balance = $21,000 - $2,100 = $18,900
APR = 3.5%
Number of monthly payments (n) = 36
To calculate the monthly interest rate (r), we divide the annual interest rate by 12 (number of months in a year):
Monthly interest rate (r) = APR / (12 * 100)
Substituting the values into the formula:
r = 3.5 / (12 * 100) = 0.0029167 (rounded to 7 decimal places)
M = (18,900 * 0.0029167 * (1 + 0.0029167)^36) / ((1 + 0.0029167)^36 - 1)
Using a calculator to evaluate the expression within the formula:
M ≈ $539.26
Therefore, the monthly payment that Amy pays is approximately $539.26.
A city currently has 2.08 thousand residents. Each year the city's population grows by around 420 persons.
After 14 years what will the approximate population of the city be? Round to three significant digits.
Approximately
thousand residents.
Answer:
the approximate population of the city after 14 years will be 7.96 thousand residents.
Step-by-step explanation:
to calculate the approximate population of the city after 14 years, we need to take into account the annual growth rate.
Given that the city's population grows by around 420 persons each year, we can calculate the total growth over 14 years by multiplying the annual growth rate by the number of years:
14 years × 420 persons/year = 5,880 persons
To find the approximate population after 14 years, we add the total growth to the current population:
2.08 thousand + 5.88 thousand = 7.96 thousand
What transformation is shown below? (Look carefully at the vertices.)
translation
reflection
rotation
can't be determined
The transformation that moves the shape is (a) translation
What transformation moves the shapeFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have:
Rectangle ABCD and rectangle ABCD have the same orientationRectangle ABCD and rectangle ABCD have the same sizeThis means that the only transformation is translation
So, the transformation is (a) translation
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15 yd
12 yd
20 yd
9 yd
Answer:
1080yd³
Step-by-step explanation:
1/2x12x9=54
54x20=1080
Chef Phillippe has 65 eggs and 46 lbs of flour in his bakery. He has a
recipe for Chocolate cake that requires 3 eggs and 2 lbs of flour. He has
another recipe for Red Velvet Cake that requires 4 eggs and 3 lbs of
flour. If all the supplies are used up making some ratio of both cakes,
how many Chocolate cake can he make?
Answer:
Step-by-step explanation:
12
An airline pricing analyst has been asked to review an airline’s flights. She has determined that 80% of all flights reach the final destination on time. Also, 30% of all flights have 100 or more passengers. When a flight has 100 or more passengers, the flight is late 60% of the time.
What is the probability the flight has 100 or more passengers and does arrive on time?
The probability that a flight has 100 or more passengers and arrives on time is approximately 0.12 or 12%.
Let A be the event that a flight has 100 or more passengers, and B be the event that the flight arrives on time. We want to find the probability of the intersection of these two events, P(A ∩ B).
We are given:
- P(B) = 0.80, the probability that any given flight arrives on time
- P(A) = 0.30, the probability that any given flight has 100 or more passengers
- P(B | A) = 0.40, the conditional probability that a flight arrives on time given that it has 100 or more passengers (since 60% of such flights are late)
We can use the formula for conditional probability to find P(A ∩ B):
P(A ∩ B) = P(B | A) * P(A)
= 0.40 * 0.30
= 0.12
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A boat is traveling in a river that is floating downstream at a speed of 10 km/h. the boat can travel 40 km upstream in the same time it would take to travel 80 km down the stream. what is the speed of the boat in Still water?
The speed of the boat in still water is 3 times the speed of the river current.
To find the speed of the boat in still water, we can use the concept of relative motion and the given information about the boat's speed while traveling upstream and downstream.
Let's assume the speed of the boat in still water is "v" km/h, and the speed of the river current is "c" km/h.
When the boat is traveling upstream, it moves against the current, so its effective speed is reduced.
The boat's speed relative to the ground is given by (v - c) km/h.
Similarly, when the boat is traveling downstream, it moves with the current, so its effective speed is increased.
The boat's speed relative to the ground is given by (v + c) km/h.
According to the problem, the boat can travel 40 km upstream in the same time it would take to travel 80 km downstream.
Since time is constant in both cases, we can set up the following equation:
40/(v - c) = 80/(v + c)
To solve this equation, we can cross-multiply and simplify:
40(v + c) = 80(v - c)
40v + 40c = 80v - 80c
40c + 80c = 80v - 40v
120c = 40v
Dividing both sides by 40, we get:
3c = v.
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if f(x) = 2x+7 then find f(x+2)
The answer is:
↬ f(x + 2) = 2x + 11
Work/explanation:
To evaluate the function, plug in x + 2 for x:
[tex]\boxed{\large\begin{gathered}\sf{f(x)=2x+7}\\\\\bf{distribute}\\sf{f(x+2)=2(x+2)+7}\\\\\bf{simplify}\\\sf{f(x+2)=2x+4+7}\\\\\sf{f(x+2)=2x+11}\end{gathered}}[/tex]
Hence, f(x +2) = 2x + 11.Can someone help me? F(x)+8x-8x^3-x^4+6
Answer:
Step-by-step explanation:
Of course! I'd be happy to help you.
Let's simplify the expression f(x) + 8x - 8x^3 - x^4 + 6 step by step:
The given expression is: f(x) + 8x - 8x^3 - x^4 + 6
Since we don't have any specific information about f(x), we'll assume that f(x) is a constant or a function that doesn't depend on x. In that case, f(x) can be treated as a constant term.
Combining like terms, we have:
f(x) - x^4 - 8x^3 + 8x + 6
There is no further simplification we can do without additional information about the function f(x) or any specific values of x. Therefore, the simplified expression is:
f(x) - x^4 - 8x^3 + 8x + 6
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
x<3
Step-by-step explanation:
[tex] - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ 8x - 6x < - 4 + 10 \\ 2x < 6 \\ x < 3[/tex]
Ms. Florinda is a kindergarten teacher. She buys 100 pencils and wants to give 2 pencils to each of her students. She has 2 classes, a class with 22 students and a class with 19 students.
Part A
Write an expression for how many pencils she has left after giving them out to her students.
A.
100
−
2
×
(
22
−
19
)
B.
100
−
2
×
22
−
19
C.
100
−
2
×
22
−
2
×
19
D.
100
−
22
−
19
Part B
Does she have enough pencils to give each of her students 2?
Yes or no
, she has
15,18,37,59
More or fewer
than she needs.
Answer:
Part A:
The correct expression for how many pencils Ms. Florinda has left after giving them out to her students is:
A. 100 - 2 × (22 - 19)
Part B:
To determine whether Ms. Florinda has enough pencils to give each of her students 2, we can calculate the total number of pencils needed. The total number of students is the sum of the students in both classes, which is 22 + 19 = 41.
If each student needs 2 pencils, then the total number of pencils needed is 2 × 41 = 82.
Comparing this with the initial number of pencils Ms. Florinda bought (100), we can see that she has more than enough pencils to give each of her students 2.
Yes, she has enough pencils to give each of her students 2.
She has 18 more than she needs.
In circle F, FG = 2 and m/GFH = 120°
Find the area of shaded sector. Express your answer as a fraction times T.
Answer:
A = [tex]\frac{4}{3}[/tex] π
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{120}{360}[/tex] ( r is the radius of the circle )
here r = FG = 2 with central angle = 120° , then
A = π × 2² × [tex]\frac{1}{3}[/tex]
= [tex]\frac{4}{3}[/tex] π
below is the graph of a trigonometric function it has a maximum point at (-pi , 7.7) and a minimum point at (- 1/3 pi, -6.7)
what is the period of the function? give an exact value
The period of the trigonometric function is -2π/3.
What is the period of the function?To determine the period of the trigonometric function based on the given information, we need to consider the pattern of the graph and identify the interval over which it repeats.
Given that the maximum point is at (-π, 7.7) and the minimum point is at (-1/3π, -6.7), we can observe that the graph completes one full oscillation between these two points.
The distance between the maximum and minimum points corresponds to half of the period. Therefore, the full period of the function can be found by doubling this distance.
The distance between (-π, 7.7) and (-1/3π, -6.7) can be calculated as follows:
Δx = -1/3π - (-π) = π/3π - π = -π/3
Since the full period is twice this distance, we multiply by 2:
2 * (-π/3) = -2π/3
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Pls geometry work help
Answer:
Step-by-step explanation:
Given:
<RPS = 35
<PAQ = 130
Solution:
If <PAQ = 130 then <QAR =50
because they are a linear pair that add to 180
<QAR = mQR = 50
mRS = 2(<RPS) >inscribed angle
mRS = 2(35)
mRS = 70
<PAQ = 130
<PAQ = mPQ
<PSQ = 1/2 (mPQ) >inscribed angle
<PSQ = 1/2 (130)
<PSQ = 65
<PBS = 180 - <RPQ - PSQ >triangle
<PBS = 180 - 35-65
<PBS = 80
<PBS = <QBR >vertical angles
<QBR = 80
<ABQ = 180- <QBR >linear pair
<ABQ = 180 - 80
<ABQ= 100
<AQB = 180 - <ABQ - <QAR >triangle
<AQB = 180 -100 - 50
<AQB = 30
<AQB = <AQS
<AQS =30
mRS = 70
mPS = 180-mRS 180 for semicircle
mPS = 180 - 70
mPS = 110
José encontró un álbum de fotos del abuelo cuando tenía nueve años si el álbum tenía 108 páginas cuantas veces se habría es que se habría escrito la cifra nueve para enumerar todo el libro
The total number of times the digit "9" would have been written to number the entire photo album is 12 + 9 = 21 times.
To determine how many times the digit "9" would have been written to number all the pages of the photo album, we need to analyze the numbering pattern.
Since the album has 108 pages, we can observe that the numbers 1 to 9 are repeated 12 times (1-9, 10-19, 20-29, ..., 90-99) to cover the first 99 pages. Each repetition consists of ten numbers, and the digit "9" appears once in each repetition.
So, the digit "9" would have been written 12 times for the numbers 9, 19, 29, ..., 89 and 99.
However, we have an additional 9 pages to consider, which are 100, 101, 102, ..., 108. Each of these pages contains a single "9" in its numbering.
Therefore, the total number of times the digit "9" would have been written to number the entire photo album is 12 + 9 = 21 times.
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GEOMETRY 50POINTS
find y to the nearest degree
The value of y in the figure is
35.134 degrees
How to determine the value of yThe value of y is worked using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The figure shows a right angle triangle of
opposite = 19
adjacent = 27
The angle is calculated using tan, TOA let the angle be y
tan y= Opposite / Adjacent
tan y = 19 / 27
y = arc tan (19/27)
y = 35.134 degrees
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Reason:
The order of ABCD and EFGH is important. This is because the letters pair up based on their position.
D and H pair up because they're the last letters of ABCD and EFGH respectively. Similar polygons have congruent corresponding angles.
Take note of how the angles are marked to indicate which angles pair up.
D = H
4x = 100
x = 100/4
x = 25
Answer:
25 is the answer by matching the equial sides
Step-by-step explanation:
100°/4=X
25=X
SOMEINE GELP IYS DUE IN HOURS
Answer: the answer is use ur ai in Brainly, it helped me a lot
Step-by-step explanation:
advanced functions
solve 4(8-2x)=256
Answer:x=-28
Step-by-step explanation:
Distribute the 4 on the left side of the equation:
32 - 8x = 256
Move the constant term to the right side of the equation:
-8x = 256 - 32
-8x = 224
Divide both sides of the equation by -8 to isolate x:
x = 224 / -8
x = -28
