Answer:
f(4) = 12
Step-by-step explanation:
To evaluate f(4), substitute x = 4 into f(x) , that is
f(4) = 3 × 4 = 12
which equation represents a proportional relationship iready
Answer:
I can tell this is your first question ;)
Step-by-step explanation:
Add the equations/choices next time
liza measures the circumferences of circles with different diameters and records them in a table. rounded to the nearest hundredth, what is the ratio of the circumference to the diameter of a circle?
The correct answer is A) 3.14 is the approximate ratio of the circumference to the diameter of a circle, rounded to the nearest hundredth.
This is due to the fact that the circle's circumference to diameter ratio, often known as pi, is roughly equal to 3.14.
A circle's circumference divided by its diameter is known as pi, and it is a mathematical constant.
Thus, the ratio of circumference to diameter will always be equal to pi, regardless of the size of the circle.
Hence, the circumference to diameter ratio of a circle, rounded to the closest hundredth, is approximately 3.14.
Complete Question:
Liza measures the circumferences and diameters of different circles and records them in a table. What is the approximate ratio of the circumference to the diameter of a circle, rounded to the nearest hundredth?
Options:
A) 3.14
B) 6.28
C) 12.56
D) None of the above
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an electronic store receives shipment of 12 graphing calculators of which 4 are defective. six of the calculators are selected to be sent to a local high school. what is the probability that exactly one is defective?
The probability of selecting exactly one defective calculator out of the 6 sent to the local high school is 0.29166.
The probability of selecting exactly one defective calculator out of the 6 sent to the local high school can be calculated using the binomial probability formula. The binomial probability formula is \(P(x) = nCx * p^x * q^(n-x)\). For this problem, n = 6 (the number of calculators sent to the local high school), x = 1 (the number of defective calculators selected), p = 4/12 (the probability of selecting a defective calculator from the shipment of 12 calculators), and q = 8/12 (the probability of selecting a non-defective calculator from the shipment of 12 calculators). Plugging these values into the formula gives \(P(x) = 6C1 * 4/12^1 * 8/12^5\), which simplifies to 0.29166. This means that the probability of selecting exactly one defective calculator out of the 6 sent to the local high school is 0.29166.
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Mitchell made a scale drawing of a house. A rug in the hallway is 5 inches wide in the drawing. The actual rug is 3 feet wide. What is the drawing's scale factor?
Simplify your answer and write it as a ratio, using a colon.
Answer:
Step-by-step explanation:
a.Scale factor = distance on the plot / actual distance
b.3 feet = 12 inchs.
so scale factor = 5/12
Please help nwidnlqknwsam
Answer:
Part A: Missing Numbers are 64 and 7 going downwards
Part B: Make a TABLE representing how much money they made for 5, 6, 8 hours which they made $64
Part C: ??
Step-by-step explanation:
between which pair of decimals should 4 7 be placed on a number line
To determine the placement of 4.7 on a number line between two decimals, 4/7 should be placed between the pair of decimals 0.57 and 0.58 on a number line.
The number 4.7 falls between the integers 4 and 5, so we need to find the decimal values that come after 4 and before 5. The decimal value that comes after 4 is 4.1, and the decimal value that comes before 5 is 4.9.
1. Convert the fraction 4/7 to a decimal.
2. Identify the two consecutive decimals on the number line that the converted decimal falls between.
Step 1: Convert 4/7 to a decimal.
To do this, divide the numerator (4) by the denominator (7):
4 ÷ 7 ≈ 0.5714 (rounded to 4 decimal places)
Step 2: Identify the two consecutive decimals.
Now, we know that 0.5714 is the decimal equivalent of 4/7. To determine the pair of decimals on the number line, we can see that 0.5714 falls between 0.57 and 0.58.
So, 4/7 should be placed between the pair of decimals 0.57 and 0.58 on a number line.
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m + 4 = -12
and
v - 15 = -27
Answer:The AR-15 came first, in 1947; the M16 a decade later. They have the same magazine capacity: 30 rounds. The former is heavier, with a shorter range and slower rate of fire, but these are subtle differences. Overall, the weapons are pretty simila
Step-by-step explanation:M4 carbine
Carbine, Caliber 5.56 mm, M4
Manufacturer See Manufacturers below
Unit cost $700 (avg. cost)m= -16
v= -12
Step-by-step explanation:
m + 4 = -12
m= -4-12
m=-16
v - 15 = -27
v=-27+15
v= -12
Produced 1991–present
Variants M4A1 Mark 18 Mod 0 CQBR
Answer:
m= -16
v= -12
Step-by-step explanation:
m + 4 = -12
m= -4-12
m=-16
v - 15 = -27
v=-27+15
v= -12
Find the circumference of a circle when the area of the circle is 64πcm²
Answer:
50.27 cm
Step-by-step explanation:
We Know
The area of the circle = r² · π
Area of circle = 64π cm²
r² · π = 64π
r² = 64
r = 8 cm
Circumference of circle = 2 · r · π
We Take
2 · 8 · (3.1415926) ≈ 50.27 cm
So, the circumference of the circle is 50.27 cm.
Answer: C=16π cm or 50.24 cm
Step-by-step explanation:
The formula for area and circumference are similar with slight differences.
\(C=2\pi r\)
\(A=\pi r^2\)
Notice that circumference and area both have \(\pi\) and radius.
\(64\pi=\pi r^2\) [divide both sides by \(\pi\)]
\(64=r^2\) [square root both sides]
\(r=8\)
Now that we have radius, we can plug that into the circumference formula to find the circumference.
\(C=2\pi r\) [plug in radius]
\(C=2\pi 8\) [combine like terms]
\(C=16\pi\)
The circumference Is C=16π cm. We can round π to 3.14.
The other way to write the answer is 50.24 cm.
Express a+bi in exact terms
The complex number in rectangular form is z = - 5√3 / 2 + i 5 / 2.
How to write a complex number in rectangular form
In this problem we must derive a complex number in rectangular form, whose definition is shown below:
z = a + i b
Where:
a - Real component.b - Complex component.Each component can be determined as following:
a = r · cos θ, b = r · sin θ
If we know that r = 5, θ = 150°, then the complex number in rectangular form is:
a = 5 · cos 150°
a = - 5√3 / 2
b = 5 · sin 150°
b = 5 / 2
z = - 5√3 / 2 + i 5 / 2
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Given coordinates A = (4, 10), B = (12, 6),
and C = (8, 2). At what point will the
perpendicular
bisector of AB fall at?
The perpendicular bisector of AB will fall at is (8, 8) and (8, 2)
How to determine the point of the perpendicular bisector of AB?From the question, the coordinates of the points are given as
A = (4, 10), B = (12, 6), and C = (8, 2).
Remove the coordinates of point C
So, we have the remaining coordinates to be
A = (4, 10) and B = (12, 6)
The perpendicular bisector of AB is the midpoint of endpoints AB
The coordinates of this perpendicular bisector is then calculated using the following midpoint formula
Midpoint = 1/2 * (x₂ + x₁, y₂ + y₁)
Where
(x, y) = (4, 10) and B = (12, 6)
Substitute (x, y) = (4, 10) and B = (12, 6) in Midpoint = 1/2 * (x₂ + x₁, y₂ + y₁)
Midpoint = 1/2 * (4 + 12, 10 + 6)
Evaluate the sum
So, we have
Midpoint = 1/2 * (16, 16)
Evaluate the product
So, we have
Midpoint = (8, 8)
Hence, the point of the perpendicular bisector of AB is (8, 8)
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Data- Tablets of a drug are sold at 3 for $0.65. How many tablets will be dispensed to a patient who wants $6.00?
The patient will receive approximately 87 tablets based on the pricing of 3 tablets for $0.65. With a desired amount of $6.00, dividing by the cost per tablet yields the quantity of tablets to be dispensed.
To calculate the number of tablets that will be dispensed to a patient who wants $6.00 worth of tablets, we need to determine the cost per tablet and divide the total amount by the cost per tablet.
The tablets are sold at a rate of 3 for $0.65. To find the cost per tablet, we divide the total cost ($0.65) by the number of tablets (3). This gives us the cost per tablet, which is approximately $0.2167.
Next, we divide the desired amount of $6.00 by the cost per tablet ($0.2167). This calculation gives us the number of tablets that can be dispensed to the patient.
Dividing $6.00 by $0.2167, we find that approximately 87 tablets can be dispensed to the patient.
Therefore, the patient will be dispensed 87 tablets based on the given pricing information and the desired amount of $6.00.
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Which equation can be used to find y, the year in which both bodies of water have the same amount of mercury? 0.05 – 0.1y = 0.12 – 0.06y 0.05y 0.1 = 0.12y 0.06 0.05 0.1y = 0.12 0.06y 0.05y – 0.1 = 0.12y – 0.06
The equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.
In the question, we have been asked for the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury.
First, we will find the equations showing the level of mercury in each body of water.
For the first water body:
Initial measure of mercury = 0.05 ppb.
Rate of rising = 0.1 ppb each year.
Number of years = y.
Thus, the equation showing level of mercury = 0.05 + 0.1y.
For the second water body:
Initial measure of mercury = 0.12 ppb.
Rate of rising = 0.06 ppb each year.
Number of years = y.
Thus, the equation showing level of mercury = 0.12 + 0.06y.
We are looking for the equation, to find y, the year in which both bodies of water have the same amount of mercury.
As they will have the same amount of mercury, their respective equations showing the level of mercury should be equal, that is:
0.05 + 0.1y = 0.12 + 0.06y, which is the required equation.
Thus, the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.
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For the complete question, refer to the attachment.
what is 92% of 1050km?
Answer:
966
Step-by-step explanation:
92 x 1050
100
966
Answer:
966
Step-by-step explanation:
1050/x=100/92
(1050/x)*x=(100/92)*x - we multiply both sides of the equation by x
1050=1.0869565217391*x - we divide both sides of the equation by (1.0869565217391) to get x
1050/1.0869565217391=x
966=x
x=966
Find the area of the region inside the circle r=4cos(theta) and outside the circle r=2.
Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3
What is the polar curve?A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.
r = 1 − cosθsin3θ
Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.
The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.
The figure attached shows the bounded region of the two graphs. The red curve is r=4cos(θ) and the blue curve is r=2.
The points of intersection of the two curves are
θ = π/3 and 5π/3
The area is calculated as follows:
Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.
A = 2 \(\(\int_{0}^{\pi /3}\) ½ (4 cos (θ)² − ½ (2)² dθ
= \(\(\int_{0}^{\pi /3}\) 16 cos2 (θ) − 4dθ
= \(\(\int_{0}^{\pi /3}\) 8 (1+cos(2θ)) − 4dθ
=\(\(\int_{0}^{\pi /3}\) 4 + 8 cos (2θ) dθ
= [4θ + 4sin (2θ)] \(\(\int_{0}^{\pi /3}\)
= 4π/3 + 2√3
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The soccer team is
conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10.
So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the
number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
O x + y < 200
O x + y > 200
O 14x + 10y > 200
O 14x + 10y < 200
Answer
it’s c
Step-by-step explanation:
you fool I have been trained in your Jedi arts by count dooku
I got a hundo on the test
Inequalities help us to compare two unequal expressions. The inequality that best the T-shirts they have sold is 14x+10y<200.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the cost of long-sleeved T-shirts is $14, while the short-sleeved T-shirts cost $10. Also, it is given the number of long-sleeved T-shirts is represented by x, while the number of short-sleeved T-shirts is represented by y. Therefore,
14x + 10y
Since the sales done is less than $200, therefore, the inequality that best the T-shirts they have sold is,
14x + 10y < 200
Hence, the inequality that best the T-shirts they have sold is 14x+10y<200.
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1/5 de los animales en el zoológico son monos 5/7 de los monos son machos
¿Qué fracción de los animales en el zoológico son monos machos?
1/7 of the animals in the zoo are male monkeys.
What fraction of the animals in the zoo are male monkeys? Explain with workings.
To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.
Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:
= 1/5
= 5/25.
And 5/7 of the monkeys are male which is written as 5/7.
To get fraction of male monkeys, we will multiply these two fractions:
= (5/25) * (5/7)
= 25/175
= 1/7.
Full question:
1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?
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What is 3x + 2 = 4x - 1
Answer:
3 = x
Step-by-step explanation:
To simplify this equation, combine like terms:
3 = x
the q-system of inventory submits inventory orders at random times. true or false?
The given statement "The q-system of inventory submits inventory orders at random times" is true because it is based on the q-model's assumption that demand is random and that inventory is replenished when it falls to a certain level.
The q-system of inventory, also known as the q-model or the reorder point system, is a method of inventory control that sets a reorder point (q) at which inventory is replenished.
The system assumes that demand for inventory is random and that inventory is replenished when it falls to the q-level. Since demand is random, orders will be submitted at random times based on the inventory level, and not according to a predetermined schedule.
Therefore, the given statement is true because the q-system of inventory submits inventory orders at random times based on the random demand for inventory.
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need help asap pls pls
Answer:
I think no solution I'm not sure sorry if I'm wrong
what is the electron domain charge cloud geometry of brf5
The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).
\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.
In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.
Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
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A komodo dragon can grow to be 120 inches long. One Komodo dragon is 92 inches
long A. Write an equation to find the number of inches it still needs to grow to be 120 inches long B. Solve the equation. How many inches does the Komodo dragon still need to grow to be 120 inches long?
Answer: A. To find the number of inches the Komodo dragon still needs to grow to be 120 inches long, we can subtract its current length from 120:
Length still needed to grow = 120 inches - 92 inches
B. Solving the equation:
Length still needed to grow = 120 - 92
= 28 inches
Therefore, the Komodo dragon still needs to grow 28 inches to reach a length of 120 inches.
which graph of ordered pais shows a proportional relationship? i need help lol
if the work required to stretch a spring 3 ft beyond its natural length is 15 ft-lb, how much work (in ft-lb) is needed to stretch it 18 in. beyond its natural length? give your answer in decimal form.
The amount of work needed to stretch the spring 18 in. from its natural position is 3.75 ft-lb.
According to the Hooke's Law, the work done on the spring is:
W = 1/2. k . x²
Where:
k = spring constant
x = displacement.
Notice that the work done is directly proportional to x².
Hence,
W₁ : W₂ = x₁² : x₂²
Parameters given:
W₁ = 15 ft-lb
x₁ = 3 ft
x₂ = 18 in. = 1.5 ft
Plug the above parameters into the ratio equation:
15 : W₂ = 3² : (1.5)²
W₂ = (1.5)² . 15 / 3² = 15/4 = 3.75 ft-lb
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If a = b, then xa = xb represents the property of equality.
a) addition
b) symmetric
c) reflexive
The property of equality being represented by the equation xa = xb when a = b is called the symmetric property. Correct option is b.
The symmetric property states that if a = b, then b = a. This means that the order of the variables can be reversed without changing the truth of the equation.
In the given equation xa = xb, we have two variables, x and a, and two instances of the variable x, represented as xa and xb. If a = b, we can apply the symmetric property to switch the order of the variables, resulting in xb = xa. This demonstrates that the equation remains true regardless of the order in which the variables are presented.
Therefore, the correct answer is b) symmetric, as the equation xa = xb represents the symmetric property of equality.
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BRAINIEST TO CORRECT ANSWER
(2x^2 +7x)+ (−x^2+10x+3)
Answer: x2+17x+3
Step-by-step explanation:
2x2+7x−x2+10x+3
=2x2+7x+−x2+10x+3
Combine Like Terms:
=2x2+7x+−x2+10x+3
=(2x2+−x2)+(7x+10x)+(3)
=x2+17x+3
Derek will deposit $6,419.00 per year for 23.00 years into an
account that earns 7.00%, The first deposit is made next year. He
has $19,476.00 in his account today. How much will be in the
account 48.
Derek plans to make annual deposits of $6,419.00 into an account for 23 years, with an interest rate of 7%. He currently has $19,476.00 in his account. The final amount in Derek's account after 48 years is 132,131.584.
To determine the amount in Derek's account after 48 years, we need to calculate the future value of the annual deposits and the current balance.
First, let's calculate the future value of the annual deposits. We can use the formula for the future value of an ordinary annuity:
Future Value = Annual Deposit × (\(1 + Interest Rate)^Number of Periods\)
Using the given values, we can calculate the future value of the annual deposits over 23 years:
Future Value of Deposits = $\(6,419.00 × (1 + 0.07)^23\)
Next, let's calculate the future value of the current balance. We can use the formula for the future value of a lump sum:
Future Value = Present Value × (1 + Interest Rate)^Number of Periods
Using the given values, we can calculate the future value of the current balance over 48 years:
Future Value of Current Balance = $\(19,476.00 × (1 + 0.07)^48\)
Finally, we can find the total amount in the account after 48 years by summing the future value of the annual deposits and the future value of the current balance:
Total Amount = Future Value of Deposits + Future Value of Current Balance
By plugging in the calculated values, we can determine the final amount in Derek's account after 48 years is 132,131.584.
It's important to note that the calculation assumes that the deposits are made at the end of each year and that the interest is compounded annually.
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Derek will deposit $6,419.00 per year for 23.00 years into an
account that earns 7.00%, The first deposit is made next year. He
has $19,476.00 in his account today. How much will be in the
account after 48 years.
solve for x: 4(x+6) = 2-6 (x+3)
Answer:
x = - 4
Step-by-step explanation:
their is no point for brainly if you need to sign in I don't wanna be mean tho
but it helps with homework and learning how to do stuff you dont know how to do
What is the difference between 5x +3 and 5(x+3)?
Step-by-step explanation:
for 5(x+3) you have to use the distributive property to find its standard form because it has parenthesis:
this would give you 5x+15 which is not the same as 5x+3.
What would be the SECOND step in evaluating the expression?
Step-by-step explanation:
Step 2: Using the order of operations, evaluate the expression with the substituted variable values.