Step-by-step explanation:
Since
\( \frac{108}{72} = \frac{3}{2} \)
\( \frac{72}{48} = \frac{3}{2} \)
\( \frac{48}{32} = \frac{3}{2} \)
The function has a constant factor so we have a exponential function.
The equation of a exponential function is
\(y = a(b) {}^{x} \)
Where a is the initial value and b is the growth factor
The growth factor is 3/2,
The initial value in 32
\(y = 32 ( \frac{3}{2} ) {}^{x} \)
Plug in 4 for x.
You will get 162
Plug in 5 for x you will get
243.
2013- 162
2014- 243
Write the definition of a right angle in BICONDITIONAL form.*
Answer:
A biconditional statement is a combination of a conditional statement and its converse written in the if and only if form. Two line segments are congruent if and only if they are of equal length. ... A biconditional is true if and only if both the conditionals are true. there??
Step-by-step explanation:
Which inequality is represented by this graph?
Answer:
x ≥ 4
good luck on the test bro :)
The normal curve with a mean of 0 and standard deviation of 1 is called ______________.
a. standard normal curve.
b. the emperical rule.
c. a random variable.
d. the z-value.
The normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
What is a standard score (z-value)?The z-score value indicates how many standard deviations you are from the mean. A z-score of 0 indicates that the data is on the mean. A positive z-score indicates that the raw score exceeds the mean average. For example, a z-score of +1 indicates that it is one standard deviation above the mean. The number of standard deviations by which the value of a raw score (that is, an observed value or data point) is above or below the mean value of what is being observed or measured is referred to as the standard score in statistics. Raw scores that are higher than the mean have positive standard scores, while those that are lower than the mean have negative standard scores.Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
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From the top of a 45 ft tower a person can see the other on the ground with an angle of depression of 40° what is the horizontal distance from the person at the base of the tower
Answer:
Step-by-step explanation:
32
A sporting goods store received a shipment of 500 baseball gloves. 200 were left handed. What is the ratio of right handed gloves to gloves?
WILL RECIEVE BRAINLIST
Answer:
300:500
Step-by-step explanation:
If there are 200 left handed gloves, then there are 300 right handed gloves.
The total amount of gloves is 500, so its 300:500.
A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second.What is the velocity of the top of the ladder when the base is given below?ALREADY KNOWO 7 feet away from the wall= -7/12O 15 feet away from the wall=-3/2O 20 feet away from the wall=-8/3
The velocity of the top of the ladder is 20.62 feet per second.
We can use the Pythagorean theorem to relate the distance between the wall and the base of the ladder to the height of the ladder. Let h be the height of the ladder, then we have:
h² + 7² = 25²
h² = 576
h = 24 feet
We can then use the chain rule to find the velocity of the top of the ladder. Let v be the velocity of the base of the ladder, then we have:
h² + (dx/dt)² = 25²
2h (dh/dt) + 2(dx/dt)(d²x/dt²) = 0
Simplifying and plugging in h = 24 and dx/dt = -2, we get:
(24)(dh/dt) - 2(d²x/dt²) = 0
Solving for (d²x/dt²), we get:
(d²x/dt²) = (12)(dh/dt)
We can find (dh/dt) using the Pythagorean theorem and the fact that the ladder is sliding down the wall at a rate of 2 feet per second:
h² + (dx/dt)² = 25²
2h(dh/dt) + 2(dx/dt)(d²x/dt²) = 0
Substituting h = 24, dx/dt = -2, and solving for (dh/dt), we get:
(dh/dt) = -15/8
Finally, we can find (d²x/dt²) by plugging in (dh/dt) and solving:
(d²x/dt²) = (12)(dh/dt) = (12)(-15/8) = -45/2
Therefore, the velocity of the top of the ladder is 20.62 feet per second.
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Customer- I recently saw an advertisement that said your company would give 5% discount to anyone who enrolls in your automatic payment plan, my monthly bill is $75 how much will I save if I enroll?
Answer: $3.75
Step-by-step explanation:
The amount that you would save is 5% of your monthly bill of $75.
This amount is:
= 75 * 5%
= $3.75
The total amount that you would pay is:
= 75 - 3.75
= $71.25
How does the parabola open? Is the vertex a minimum or maximum value?
g(x) = (4-x)(2+7x)
Answer:
g (x) = −7 x 2 + 26 x + 8
Step-by-step explanation:
what is three quarters of 3 3/7
Answer:
Step-by-step explanation:
Cody rented a bicycle from Cycle Factory for $65. How many hours did Cody rent the bike for if their cost is $16 to rent the bike plus $7 per hour?
Answer: Cody rented the bike for 7 hours.
Step-by-step explanation:
$65-$16=$49
$49/$7=7 hours
2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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Express each of the following sums in summation notation and then com- pute where possible. Let X take the values 1-4, 2-2, x3 = 0,4 4, 54 and Y take the values y₁ = -1, 92=-0.5, 93 = 0, y4 1,35 = 1.5. =
(a) 1+ 2+ 3+ 4+ X5
(b) y2 y3+ YA
The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.
In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.
When we evaluate the expression, we have:
ΣX = 1 + 2 + 3 + 4 = 10
However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:
ΣX = 10 + 5 = 15
So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.
Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.
Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:
ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5
Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.
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In the film 'Shipwreck', the Captain and five passengers remain on board a sinking ship. There are three lifejackets remaining.
The Captain knows that three of the passengers cannot swim.
In his panic he hands out the lifejackets randomly to three of the five passengers.
Calculate the probability that he gives the lifejackets to just two of the three non-swimmers
Note that the probability that he gives the lifejackets to just two of the three non-swimmers is 3/250 or 0.012
How is this so ?Let's define the following events...
A: Two of the three non-swimmers get lifejackets
B: Three lifejackets are given to two non-swimmers and one swimmer
We want to calculate P(A), the probability that two of the three non-swimmers get lifejackets. We can do this using the formula/...
P(A) = P(A|B) * P(B) + P(A|not B) * P( not B)
P (B), the probability that the Captain gives the lifejackets to two non-swimmers and one swimmer....
P(B ) = (3/5 ) x (2/4) x (1/3) = 1/ 10
Note that he number of ways to choose 2 non-swimmers from 3 is 3, and the number of ways to choose 1 swimmer from 2 is 2.
The total No. of ways to choose 3 passengers from 5 is 10, hence
P(A | B) = (3 choose 2) x (2 choose 1) / (10 choose 3) = 6 /50
The No. of ways to choose 2 non-swimmers from 2 is 1, and the number of ways to choose 1 swimmer from 3 is 3. The total number of ways to choose 3 passengers from 5 is 10
P(A|not B) = (1 choose 2) x (3 choose 1) / (10 choose 3) = 0
Plugging in the values, we get....the followint
P(A) = (6/50) * (1/10) + (0) * (9/10) = 3/ 250
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b) The architectural drawing of a building shows the elevation of the basement
-10 feet. The elevation (height) of the roof is 24 feet. What is the total
distance from the roof to the basement floor?
The total distance from the roof to the basement floor is,
⇒ 34 feet
We have to given that;
The architectural drawing of a building shows the elevation of the basement -10 feet.
And, The elevation (height) of the roof is 24 feet.
Hence, The total distance from the roof to the basement floor is,
⇒ |- 10 - 24|
⇒ |- 34|
⇒ 34
Thus, The total distance from the roof to the basement floor is,
⇒ 34 feet
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For the high jump, each competitor receives multiple opportunities to clear the bar at each height. On average, Shane completes 2 out of 3 jumps on the lowest bar, 4 out of 6 jumps on the middle bar, and 1 out of 4 jumps on the highest bar. Write an equation that you could use to find Shane’s overall average number of jumps completed. Calculate Shane’s average using the equation.
Answer:
19/36.
Step-by-step explanation:
Shane’s average was 19/36 jumps completed. Here is the equation: (2/3+4/6+1/4) / 3 =a . 4/6 is = ⅔, so ⅔ + ⅔ = 4/3. ¼ is equal to 3/12 and 4/3 is equal to 16/12, and 16/12 + 3/12=19/12. 19/12 divided by three is 19.36, because it is.
Answer: 19/36
Step-by-step explanation:
A mean equation is hidden in this word problem. Focus on the 2 out of 3, 4 out of 6, and 1 out of 4. Those numbers are actually fractions. Shane managed to complete 2/3 of the jumps on the lowest bar, he managed to complete 4/6 of the jumps on the middle bar, and 1/4 of the jumps on the highest bar.
Step 1: Write the mean equation
(2/3 + 4/6 + 1/4)/3 = x
Step 2: Find the common denominator
3, 6, and 4 are all factors of 12, so 12 is your common denominator
4(2/3) = 8/12
2(4/6) = 8/12
3(1/4) = 3/12
Now rewrite the equation with the common denominator
(8/12 + 8/12 + 3/12)/3 = x
Step 3: Sum the fractions
(19/12)/3 = x
Step 4: I
Invert and multiply
(19/12)/3 = 19/12 * 1/3 = 19/36
This is your answer.
Please help solve for A
Answer:
Step-by-step explanation:
\(\frac{sin 82}{28} =\frac{sin A}{8} \\sin A=\frac{8}{28} \times sin 82\\A=sin^{-1} (\frac{2}{7} \times sin~82) \approx 16.4 ^\circ\)
who ever XxLunaMoonxX is stop spreading false rumors abt people cuz they aint true
Answer:
oop
Step-by-step explanation:
Answer:
who?
Step-by-step explanation:
need help asap please
Answer:
5 : 7
Step-by-step explanation:
First figure surface a * a * 6 = 6 a^2
now scale the dimesion by x
ax * ax * 6 = 6 a^2 x^2
= 150 x^2 = 294
x^2 = 294/150
x = 7 : 5 is th ratio of the larger to the smaller
For this question, I'd want some assistance. Thank you very much. Have a wonderful day!
Answer:
can u take pic again?
Step-by-step explanation:
Suppose that a photocopy machine can reduce copies to 65 percent of their original size. By copying an already reduced copy, further reductions can be made. 1. If a page is reduced to 65 percent, what percent enlargement is needed to return it to its original size? 2. Estimate the number of times in succession that a page must be copied to make the final copy less than 15 percent of the size of the original.
The sequence 200, 40, 8, ... is a geometric sequence. Let's define the geometric sequence before we explain why the above sequence is geometric. In a geometric sequence, each term is multiplied by the same common ratio to obtain the next term.
A geometric sequence can be represented by the formula a, ar, ar^2, ar^3, ... , where a is the first term, r is the common ratio, and ar, ar^2, ar^3, ... are the successive terms. The common ratio can be calculated using any two consecutive terms in the sequence.To determine if a sequence is geometric or not, we need to check whether the ratio of successive terms is the same. In the given sequence, 200 is the first term, 40 is the second term, and 8 is the third term.
So, the common ratio is =0.2Similarly, the ratio between 40 and 8 is Therefore, the ratio of successive terms is 0.2, which is constant. Hence, the given sequence is a geometric sequence.
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Need geometry help
Solve for x.
Answer:
your answer should be 15
Step-by-step explanation:
Part 3: Energy Math la. Imagine that you had unlimited time and you needed to get from Washington, D.C., to Cleveland, Ohio. The distance is roughly 600 km (370 miles). For each mode of transportation in the data table below, calculate how many megajoules of energy you would use to make the trip Airplane - 2.1 MJ per passenger - kilometer Car (driver only) - 3.6 MJ per passenger – kilometer Train - 1.1 MJ per passenger – kilometer Bus - 1.7 MJ per passenger - kilometer 1b. If a gallon of gasoline contains 120 MJ, how many gallons of gasoline does it take to make the trip by car? 10. If you could carpool with three other people who needed to make the same trip, what would the energy expenditue be for each person? In that case, which form of transportation would be most efficient?
The energy expended per person is 2160/5 = 432 MJ.
Imagine that you have unlimited time to travel from Washington D.C. to Cleveland, Ohio. The distance is approximately 600 kilometers. Determine the number of megajoules of energy used to complete the journey using each mode of transportation in the table given below.
The following are the energy requirements for each mode of transportation:
- Airplane - 2.1 MJ per passenger-kilometer
- Car (driver only) - 3.6 MJ per passenger-kilometer
- Train - 1.1 MJ per passenger-kilometer
- Bus - 1.7 MJ per passenger-kilometer
1b. If a gallon of gasoline contains 120 MJ, how many gallons of gasoline does it take to make the trip by car?
We know that the car's energy requirement is 3.6 MJ per passenger-kilometer, and the distance is 600 kilometers. There is only one driver, so the energy consumed by the car is 3.6 * 600 = 2160 MJ.
We can calculate the number of gallons of gasoline required using the energy content of gasoline. A gallon of gasoline contains 120 MJ. As a result, the number of gallons required is:
2160/120 = 18 gallons.
If four people ride in the car, the energy used per person will be reduced.
The energy required for the car is 2160 MJ when only the driver is present. When four passengers ride in the car, the total energy expenditure is the same.
Thus, the energy expended per person is 2160/5 = 432 MJ.
The most effective mode of transportation would be a train. The energy consumption of a train is only 1.1 MJ per passenger-kilometer. As a result, taking a train would save a significant amount of energy.
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help please i don’t understand
Answer:
567
Step-by-step explanation:
you gotta keep dreaming multiply the 6 then the 5
The width of a rectangle is 8n-6.5 feet and the length is 6.5n+8 feet. Find the perimeter of the rectangle.
The Perimeter of rectangle is 29n + 3 feet.
What is perimeter of rectangle?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Perimeter of the rectangle = 2(length+width)
Given the paramters are;
width of a rectangle is 8n-6.5 feet and the length is 6.5n+8 feet.
W = 8n-6.5
L = 6.5n+8
Perimeter of the rectangle = 2(length+width)
Perimeter = 2(8n-6.5+ 6.5n+8)
= 2(14.5n + 1.5)
= 29n + 3
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A function f (x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Afunction f (>) is graphed on the coordinate plane What is the function rule in slope-intercept fom? Enter your answer in the box f(r) Basic x2
The required function of the line would be y = 2x + 1.
Coordinate Plane:A coordinate plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.
The function rule in slope-intercept form:The slope-intercept form is one rule to represent linear function rules. f(x)=mx + b is sometimes used. In any scenario, m and b describe the line's overall features. The slope is denoted by m, while the y-intercept is denoted by b.
According to the given figure,
We clearly see that the coordinates of the y-intercept would be (0, 1).
The value of the x-coordinate is 1 when y-coordinate is 3.
Here the line passes through points (0, 1) and (1, 3).
Let the required linear function would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]
x₁ = 0, y₁ = 1
x₂ = 1, y₂ = 3
⇒ y - y₂ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
⇒ y - 3 = (3 - 1)/(1 - 0 )[x -1]
⇒ y - 3 = (2)[x -1]
⇒ y - 3 = 2x - 2
⇒ y = 2x - 2 + 3
⇒ y = 2x + 1
Therefore, the required function of the line would be y = 2x + 1 .
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Helppp I’ll give Brainlist
Answer:
1. C
2. B
3. D
4. A
5. B
Step-by-step explanation:
The perimeter of Suzanne's rectangular garden is 40 yards. The length of the garden is 12 yards. What is the area of Suzanne's garden? square yards
Answer:
96 sq yards
Step-by-step explanation:
40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area
Sally sim Tim and joah each have 14 baseball cards sam has 20 Pokemon cards how many baseball cards do they have in all
Answer: 14
Step-by-step explanation: Pokémon cards are different than baseball cards and are two different things.
Help I'll give you 100 points
✏ Answer:
\(y=-9\)
Step-by-step explanation:
\(2-\frac{1}{8}y=11+\frac{7}{8}y\)
➠ Subtract 2 from both sides:-
\(2-\frac{1}{8}y-2=11+\frac{7}{8}y-2\)
\(-\frac{1}{8}y=\frac{7}{8}y+9\)
➠ Subtract 7/8y from both sides:-
\(-\frac{1}{8}y-\frac{7}{8}y=\frac{7}{8}y+9-\frac{7}{8}y\)
\(-y=9\)
➠ Divide both sides by -1:-
\(\frac{-y}{-1}=\frac{9}{-1}\)
\(y=-9\)
OAmalOHopeO
✎--------------------------
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
\( \tt \: 2 - \frac { 1 } { 8 } y = 11 + \frac { 7 } { 8 } y \\ \)\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \tt \: 2 - \frac { 1 } { 8 } y = 11 + \frac { 7 } { 8 } y \\ \)
Subtract \(\tt\frac{7}{8}y\) from both sides.
\( \tt \: 2-\frac{1}{8}y-\frac{7}{8}y=11 \\ \)
Combine \(\tt-\frac{1}{8}y\) and \(\tt-\frac{7}{8}y\) to get -y.
\( \tt \: 2-y=11 \)
Subtract 2 from both sides.
\( \tt \: -y=11-2 \)
Subtract 2 from 11 to get 9.
\( \tt \: -y=9 \)
Multiply both sides by -1.
\( \boxed{\boxed{ \bf \: y=-9 }}\)
Compare the expression 3 8 and 3 5 x 3 3 using the properties of multiplication what do you notice
Using the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power, it can be seens that that the two expressions are equal to each other.
The properties of multiplication state that when multiplying two expressions with the same base, we can add their exponents together. This means that 3 to the fifth power x 3 to the third power is equal to 3 to the eighth power.
In mathematical notation, this looks like:
3^8 = 3^5 x 3^3
Using the properties of multiplication, we can add the exponents together:
3^8 = 3^(5+3)
Simplifying the exponent:
3^8 = 3^8
This shows that the two expressions are equal to each other. Therefore, we can conclude that 3 to the eighth power and 3 to the fifth power x 3 to the third power are the same value.
Note: The question is incomplete. The complete question probably is: Use the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power.
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