The formula NEXT = NOW - 8 is neither recursive or explicit.
What is recursive and explicit formula?In a recursive fοrmula, we can find the value οf a term in the sequence using the value οf the previοus term. Hοwever, in an explicit fοrmula, we can find the value οf a term in the sequence using its pοsitiοn. Hence, this is anοther difference between recursive and explicit.
Recursive formula = [tex]\rm a_{n}=a_{n-1}+ d[/tex]
Explicit formula = [tex]\rm a_n= a_1 + (n - 1) d[/tex]
Here, NEXT = NOW - 8 resembles Recursive formula, but the value of Next isn't given. Even if it starts at 50, The value of n isn't specified.
Therefore, The formula NEXT = NOW - 8 is neither recursive or explicit.
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Complete question:
Is the formula recursive, explicit, or neither?
NEXT = NOW - 8, starting at 50.
recursiveexplicitneitherFind the value of x. 25 X 10.5, 12 Gina Wilson (Al Things Algebro. LLC, and
The value of x using Pythagoras Theorem on the triangle is: 27.741
How to use Pythagoras theorem?Pythagoras Theorem is defined as the manner in which we find the missing lengths of a right angled triangle.
The triangle has three sides, namely the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras theorem is in the form of;
a² + b² = c²
Using Pythagoras Theorem, we can find the smaller side of the triangle as:
y² = 12² - 10.5²
y = √(12² - 10.5²)
y = √33.75
y = 5.809
From the other triangle, we have:
x' = √(25² - 12²)
x' = √481
x' = 21.932
Thus:
x = 21.932 + 5.809
x = 27.741
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which angle of rotation would carry a regular dodecagon onto itself?
1. 36
2. 45
3. 330
4. 216
Answer:
A regular dodecagon has 12 sides and rotational symmetry. This means that if you rotate it by a certain angle about its center, it will look the same as before the rotation. The angle of rotation that would carry a regular dodecagon onto itself is equal to 360 degrees divided by the number of sides.
In this case, 360 degrees / 12 sides = 30 degrees.
So a regular dodecagon can be rotated onto itself by any multiple of 30 degrees. Out of the options you provided, only option 3 (330 degrees) is a multiple of 30 degrees. Therefore, an angle of rotation of 330 degrees would carry a regular dodecagon onto itself.
Pls help I’m in a hurry please
(1) The probability of getting tails and a 3 is the probability of following the path T-3, which is 1/2 x 1/4 = 1/8.
(ii) The probability of getting heads and an even number is the probability of following the path H-2 or H-4, which is 1/2 x 1/2 + 1/2 x 1/2 = 1/2.
(iii) The probability of not getting heads and an even number is the probability of following the paths T-2 or T-4, which is 1/2 x 1/2 + 1/2 x 1/2 = 1/2.
Math practice complete all this for 15 pts⬇️
The values of the lengths of the sides and segments obtained using the equivalent ratios of the sides of similar triangles are;
1. AA
2. AA
3. 200 ft
4. 21 feet
5. 37.5 meters
6. 4.2 meters
7. 6 feet
What are similar triangles?Similar triangles are triangles that posses similar shape, but may have varied sizes.
1. Two angles in triangle ORS are congruent to two angles in triangle VUT, therefore, the triangles are similar by the Angle-Angle, AA similarity postulate
2. Whereby the angle ∠ABC is congruent to the angle ∠ADF, and the angle ∠ABC and ∠ADGF are corresponding angles, we get by the conversed of the corresponding angles theorem;
BC ║ DF
However, angle A is congruent to itself, by reflexive property, therefore;
Triangle ABC is similar to triangle ADF, according to the AA similarity postulate.
3. Using the proportional sides relationship between similar triangles or the definition of the tangent of an angle, we get;
50/12.5 = h/50
h = 50 × 50/12.5 = 200
The height of the building is 200 ft
4. Using similar triangles relationship, we get;
7/2 = h/6
h = (7/2) × 6 = 21
The height of the taller flagpole is 21 ft
5. Using the equivalent ratio of the sides of similar triangles, we get;
x/25 = 12/8
x = 25 × (12/8) = 37.5
The distance is 37.5 meters
6. The equivalent ratio of the sides of similar triangles indicates;
h/7 = 9/15
h = 7 × (9/15) = 4.2
The height of the brace is 4.2 meters
7. The ratios of the sides of similar triangles indicates that we get;
136/34 = h/(1 1/2)
h = 1 1/2 × (136/34) = 6
The height of the man is 6 feet
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elect all of the situations that contain independent events. a. drawing an ace and then drawing a spade from a standard deck of 52 cards without replacement b. training as a long-distance runner and winning a marathon c. the destinations of 3 randomly selected travelers at an airport d. flipping a coin and getting heads twice in a row
The situation representing independent events are ,
Drawing an ace and spade from a deck of 52 cards.
Choosing a destination by 3 randomly selected travelers.
Representing the dependent and the independent events,
Drawing an ace and then drawing a spade from a standard deck of 52 cards without replacement.
The probability of drawing a spade is not affected by whether or not an ace was drawn first,
This is independent event .
Training as a long-distance runner and winning a marathon.
The probability of winning a marathon depends on various factors such as training, skill, and the competition.
These factors are not independent.
so these events are dependent.
The destinations of 3 randomly selected travelers at an airport.
The choice of destination for each traveler is independent of the choices made by the other travelers.
so these events are independent.
Flipping a coin and getting heads twice in a row.
The probability of getting heads on the second flip depends on the outcome of the first flip.
If the first flip resulted in tails, then the probability of getting heads on the second flip is 1/2.
However, if the first flip resulted in heads, then the probability of getting heads on the second flip is still 1/2.
This events are dependent.
Therefore, the independent events are drawing an ace and spade from deck of cards and selecting destination of 3 randomly selected travelers.
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Lily drives 342 miles in 4 1/2 hours. What is her speed in miles per hour
Lily drives 342 miles in [tex]4\frac{1}{2}[/tex] hours. Her speed is 76 miles per hour.
To find Lily's speed in miles per hour, we need to divide the distance she traveled by the time it took her to travel that distance.
First, we need to convert the time of [tex]4\frac{1}{2}[/tex] hours to a fraction of an hour. We can do this by converting the 1/2 hour to 0.5 hours and adding it to the whole number of hours:
[tex]4\frac{1}{2}[/tex] hours = 4 + 0.5 hours = 4.5 hours
Now we can use the formula:
Speed = Distance ÷ Time
where:
Distance = 342 miles
Time = 4.5 hours
So, Lily's speed in miles per hour is:
Speed = 342 miles ÷ 4.5 hours
Speed = 76 miles per hour (rounded to the nearest whole number)
Therefore, Lily's speed was 76 miles per hour.
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Rajah wanted to go to the amusement park and needed to determine how much money he would need based on how many friends he brought.
Help Rajah create an equation to represent the least amount of money (M=Money) he would need if the tickets coast $12 per person, food is approximately $11per person and he would buy one large Kettle corn at $15.00 to share with everyone.
The equation representing the least amount of money needed is 23x + 15.
What is an equation?
An equation is a statement stating the equality of two expressions containing variables and/or numbers. The attempts to logically resolve equations, which are essentially questions, have been the basic driving forces behind the development of mathematics.
Let the number of people be x.
Cost of tickets = $12x
Cost of food = $11x
Cost of large kettle corn = $15
Now, on adding all the values, we get the equation as
M = 12x + 11x + 15
M = 23x + 15
Hence, the equation representing the least amount of money needed is 23x + 15.
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Need help on this as soon as possible I’ve been stuck for awhile
Answer:
[tex]\textsf{(C)} \quad -\dfrac{1}{4}[/tex]
Step-by-step explanation:
To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.
To find dy/dx for x² + 3y² = 8 + 2xy, differentiate each term with respect to x.
Begin by placing d/dx in front of each term of the equation:
[tex]\dfrac{\text{d}}{\text{d}x}x^2+\dfrac{\text{d}}{\text{d}x}3y^2=\dfrac{\text{d}}{\text{d}x}8+\dfrac{\text{d}}{\text{d}x}2xy[/tex]
Differentiate the terms in x only (and constant terms):
[tex]\implies 2x+\dfrac{\text{d}}{\text{d}x}3y^2=0+\dfrac{\text{d}}{\text{d}x}2xy[/tex]
Use the chain rule to differentiate terms in y only.
In practice, this means differentiate with respect to y, and place dy/dx at the end:
[tex]\implies 2x+6y\dfrac{\text{d}y}{\text{d}x}=0+\dfrac{\text{d}}{\text{d}x}2xy[/tex]
[tex]\implies 2x+6y\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}}{\text{d}x}2xy[/tex]
Use the product rule to differentiate the term in x and y.
[tex]\textsf{Let}\;u(x)=2x \implies u'(x)=2[/tex]
[tex]\textsf{Let}\;v(x)=y \implies v'(x)= 1\dfrac{\text{d}y}{\text{d}x}[/tex]
Therefore:
[tex]\implies \dfrac{\text{d}}{\text{d}x}[u(x) \cdot v(x)]=u(x) \cdot v'(x)+v(x) \cdot u'(x)[/tex]
[tex]\implies \dfrac{\text{d}}{\text{d}x}2xy=2x \cdot 1 \dfrac{\text{d}y}{\text{d}x}+y\cdot 2[/tex]
[tex]\implies \dfrac{\text{d}}{\text{d}x}2xy=2x \dfrac{\text{d}y}{\text{d}x}+2y[/tex]
So the final differentiated equation is:
[tex]\implies 2x+6y\dfrac{\text{d}y}{\text{d}x}=2x \dfrac{\text{d}y}{\text{d}x}+2y[/tex]
Rearrange the resulting equation to make dy/dx the subject:
[tex]\implies 2x+6y\dfrac{\text{d}y}{\text{d}x}=2x \dfrac{\text{d}y}{\text{d}x}+2y[/tex]
[tex]\implies 6y\dfrac{\text{d}y}{\text{d}x}-2x \dfrac{\text{d}y}{\text{d}x}=-2x+2y[/tex]
[tex]\implies \dfrac{\text{d}y}{\text{d}x}(-2x+6y)=-2x+2y[/tex]
[tex]\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-2x+2y}{-2x+6y}[/tex]
[tex]\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{2(-x+y)}{2(-x+3y)}[/tex]
[tex]\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-x+y}{-x+3y}[/tex]
To find d²y/dx², differentiate again using the quotient rule and implicit differentiation.
[tex]\textsf{Let}\;u(x)=-x+y \implies u'(x)=-1+1\dfrac{\text{d}y}{\text{d}x}[/tex]
[tex]\textsf{Let}\;v(x)=-x+3y \implies v'(x)=-1+3\dfrac{\text{d}y}{\text{d}x}[/tex]
Therefore:
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=\dfrac{\text{d}}{\text{d}x}\left[\dfrac{u(x)}{v(x)}\right]=\dfrac{v(x)\cdot u'(x)-u(x) \cdot v'(x)}{[v(x)]^2}[/tex]
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=\dfrac{\text{d}}{\text{d}x}\left[\dfrac{-x+y}{-x+3y}\right]=\dfrac{(-x+3y) \cdot \left(-1+1\dfrac{\text{d}y}{\text{d}x}\right)-(-x+y) \cdot \left(-1+3\dfrac{\text{d}y}{\text{d}x}\right)}{(-x+3y)^2}[/tex]
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=\dfrac{(3y-x)\left(\dfrac{\text{d}y}{\text{d}x}-1\right)-(y-x)\left(3\dfrac{\text{d}y}{\text{d}x}-1\right)}{(-x+3y)^2}[/tex]
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=\dfrac{\left(3y\dfrac{\text{d}y}{\text{d}x}-3y-x\dfrac{\text{d}y}{\text{d}x}+x\right)-\left(3y\dfrac{\text{d}y}{\text{d}x}-y-3x\dfrac{\text{d}y}{\text{d}x}+x\right)}{(-x+3y)^2}[/tex]
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=\dfrac{-2y+2x\dfrac{\text{d}y}{\text{d}x}}{(-x+3y)^2}[/tex]
Substitute in dy/dx:
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=\dfrac{-2y+2x\left(\dfrac{-x+y}{-x+3y}\right)}{(-x+3y)^2}[/tex]
To find d²y/dx² at (2, 2), substitute x = 2 and y = 2 into the second derivative:
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=\dfrac{-2(2)+2(2)\left(\dfrac{-2+2}{-2+3(2)}\right)}{(-2+3(2))^2}[/tex]
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=\dfrac{-4+4\left(\dfrac{0}{4}\right)}{(4)^2}[/tex]
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=\dfrac{-4}{16}[/tex]
[tex]\implies \dfrac{\text{d}^2y}{\text{d}x^2}=-\dfrac{1}{4}[/tex]
Serenity buys milk and potatoes at the
store.
•She pays a total of $31.69.
• She pays a total of $4.09 for the milk.
• She buys 4 bags of potatoes that each
cost the same amount.
Write and solve an equation which can be
used to determine x, how much each bag
of potatoes costs.
Answer:
Let the cost of each bag of potatoes be x.
Then, the total cost of 4 bags of potatoes would be 4x.
According to the problem, Serenity pays a total of $31.69.
This can be written as:
4x + 4.09 = 31.69
Subtracting 4.09 from both sides, we get:
4x = 27.60
Dividing both sides by 4, we get:
x = 6.90
Therefore, each bag of potatoes costs $6.90.
Step-by-step explanation:
6. Which set of ordered pairs (x, y) could represent a
linear function?
A = {(-2,-2), (0, 2), (2,5), (4,8)}
B = {(-2,5), (1,2), (4,-1), (7,-5)}
C = {(−7, −6), (−5,–4), (1,0), (4,2)}
D = {(3,7), (6,-2), (7,-5), (8,-8)}
The option D: {(3,7), (6,-2), (7,-5), (8,-8)} is a set of ordered pairs that represent the linear function.
What is a linear function?The straight line is a representation of a linear function.
It is possible to determine whether the slope between any two points in a set of ordered pairs reflects a linear function. If any two points have the same slope, the set of ordered pairs is said to describe a linear function.
Let's calculate the slopes between the pairs of points in each set:
Let's determine the slopes between the spots in each set's pairs:
To calculate the slope between points (-2, -2) and (0, 2):
m = (2 - (-2))/(0 - (-2)) = 4/2 = 2
The slope between (0, 2) and (2, 5):
m = (5 - 2)/(2 - 0) = 3/2
The slope between (2, 5) and (4, 8):
m = (8 - 5)/(4 - 2) = 3/2
The slopes are not the same, so set A does not represent a linear function.
B: To calculate the slope between (-2, 5) and (1, 2):
m = (2 - 5)/(1 - (-2)) = -3/3 = -1
Slope between (1, 2) and (4, -1):
m = (-1 - 2)/(4 - 1) = -3/3 = -1
Slope between (4, -1) and (7, -5):
m = (-5 - (-1))/(7 - 4) = -4/3
The slopes are not the same, so set B does not represent a linear function.
C: to calculate slope between (-7, -6) and (-5, -4):
m = (-4 - (-6))/(-5 - (-7)) = 2/2 = 1
The slope between (-5, -4) and (1, 0):
m = (0 - (-4))/(1 - (-5)) = 4/6 = 2/3
Slope between (1, 0) and (4, 2):
m = (2 - 0)/(4 - 1) = 2/3
The slopes are the same, so set C represents a linear function.
D: The slope between (3, 7) and (6, -2):
m = (-2 - 7)/(6 - 3) = -3
The slope between (6, -2) and (7, -5):
m = (-5 - (-2))/(7 - 6) = -3
Slope between (7, -5) and (8, -8):
m = (-8 - (-5))/(8 - 7) = -3
The slopes are the same, so set D represents a linear function.
Therefore, the sets of ordered pairs that represent linear function is and D.
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f(x)=x^4+3x^3-8x^2+5x-25
Find the length x.
4
3.5
2
O
X
so we have two triangles touching each other at a point on that vertical line, and the angles on either side of the vertical line are vertical angles and thus congruent, which means both triangles are similar by AA.
[tex]\cfrac{4}{2}=\cfrac{x}{3.5}\implies 2=\cfrac{x}{3.5}\implies 7=x[/tex]
if i roll a 6 sided dye, what is P(even)?
what is the expected value and standard deviation of the number of small aircraft that arrive during a 75-min period?
For the number of small aircraft that arrive during a 75-min period, the expected value if 10 and standard deviation is 3.17.
The expected value of the number of small aircraft that arrive during a 75-minute period is ⇒ E[X] = μ = 8t.
We need to convert the time period to hours,
So, t = 75/60 = 1.25 hours.
So, the expected number of small aircraft arrivals during a 75-minute period is ⇒ E[X] = μ = 8(1.25) = 10,
To find the standard deviation, we know that for a Poisson distribution, the standard deviation(σₓ) is the square root of mean.
So, σₓ = √μ = √8t,
Substituting t = 1.25,
We get,
⇒ σₓ = √8(1.25) = √10 ≈ 3.17,
Therefore, the expected value for number of aircraft is 10, and standard deviation is 3.17.
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The given question is incomplete, the complete question is
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t.
What are the expected value and standard deviation of the number of small aircraft that arrive during a 75-min period?
Help I'm lost, I can't manage to answer this question.
The simplified expression is [tex]\frac{1-4i\sqrt3}{7}[/tex].
What is simplification?
Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do. For example, take this expression: 4 + 6 + 5.
Here the given expression is
=> [tex]\frac{2-i\sqrt3}{2+i\sqrt3}[/tex]
Multiply and divide by [tex]2-i\sqrt3[/tex] then
=> [tex]\frac{2-i\sqrt3}{2+i\sqrt3}\times\frac{2-i\sqrt3}{2-i\sqrt3}[/tex]
=> [tex]\frac{(2-i\sqrt3)^2}{2^2-(i\sqrt3)^2}[/tex]
=> [tex]\frac{4+i^2\sqrt3^2-4i\sqrt3}{4-i^2\sqrt3^2}[/tex]
=> [tex]\frac{4-3-4i\sqrt3}{4+3}[/tex]
=> [tex]\frac{1-4i\sqrt3}{7}[/tex]
Hence the simplified expression is [tex]\frac{1-4i\sqrt3}{7}[/tex].
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suppose i have a cabbage, a goat and a lion, and i need to get them across a river. i have a boat that can only carry myself and a single other item. i am not allowed to leave the cabbage and lion alone together, and i am not allowed to leave the lion and goat alone together. how can i safely get all three across?
This is a classic river crossing puzzle. To safely get all three across take the goat across, leave the goat, take the lion across, take the cabbage across, return with the empty boat, Take the goat across to reunite with the cabbage and lion
Here's one possible solution:
First, take the goat across the river, leaving the cabbage and lion on the original side.Next, leave the goat on the other side and return to the original side with the empty boat.Then, take the lion across the river, and leave it on the other side with the goat.Return to the original side with the empty boat, and take the cabbage across the river.Finally, leave the cabbage on the other side and return to the original side with the empty boat.Take the goat across the river to reunite with the cabbage and lion on the other side.By following these steps, you will have successfully transported all three items across the river without violating the rules.
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Draw the graph of y = 3 - ¹x
53 N
4
2
1
-5 -4 -3 -2 -1 0
-1
-2
-3
-4
-5
1 2 3 4 5
The graph of y= 3- (1/2)x, is attached below.
Describe Graph?The x-axis represents the independent variable and the y-axis represents the dependent variable. Each point on the graph represents a unique combination of values for the variables being plotted. The shape of the graph is determined by the nature of the data or function being plotted.
To draw the graph of y = 3 - (1/2)x, we can use the slope-intercept form of the equation, which is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -1/2 and the y-intercept is 3. To plot the graph, we can start by plotting the y-intercept at the point (0, 3), which is on the y-axis.
Then, using the slope of -1/2, we can find another point on the line. To do this, we can move 1 unit to the right and 1/2 unit down from the y-intercept, since the slope tells us that for every 2 units to the right, the line goes down 1 unit. This gives us the point (1, 2.5).
We can continue this process to find more points on the line. For example, we can move 2 units to the right and 1 unit down from the y-intercept to get the point (2, 2), and we can move 4 units to the right and 2 units down to get the point (4, 1).
Once we have a few points on the line, we can connect them with a straight line to get the graph of y = 3 - (1/2)x.
Graph is attached below.
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Once the line has a few nodes, we can join them with a straight line to create the graph is y = 3 - (1/2)x.
Describe Graph?The x-axis is used to represent the independent variable, and the y-axis is used to represent the dependent variable. A distinct combination of numbers for the variables being plotted is represented by each point on the graph. The type of data or function being displayed determines the graph's shape.
We can use the slope-intercept form of the equation, which is y = mx + b, where m is the slope and b is the y-intercept, to create the graph of y = 3 - (1/2)x.
In this instance, the y-intercept is three, and the slope is -1/2. Plotting the y-intercept at the y-axis's (0, 3) position will serve as the initial step in creating the graph.
Then, we can locate another spot on the line by using the slope of -1/2. Since the slope informs us that the line descends one unit for every two units to the right, we can shift 1 unit to the right and 1/2 unit down from the y-intercept to achieve this. This demonstrates our argument.(1, 2.5).
We can carry on in this manner to locate additional locations along the line. For instance, from the y-intercept, we can shift 2 units to the right and 1 unit down to get the point (2, 2), and 4 units to the right and 2 units down to get the point (4, 2). (4, 1).
The graph of y = 3 - (1/2)x can be obtained by joining a few spots on the line with a straight line.
Graph is attached below.
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8.
Monique looked at the clock at the beginning of class and at the end of class. How many degrees did the
minute hand turn from the beginning of class until the end?
Answer: __
degrees
We can only conclude that the minute hand rotated six times as many minutes passed during class because we don't know the exact starting and ending times.
how can we describe length ?An object's length, or the separation between its two points or the range of it along a specific direction, is described by the physical property of length.
It can be measured in a variety of units, including metres, centimetres, inches, and feet. It is one of the fundamental measurements in geometry. Often, the letters "l" or "L" are used to denote an object's length.
given
A clock's minute hand revolves six degrees per minute, or 360 degrees, in the course of an hour, or 60 minutes.
If the lesson was less than an hour in length, we can calculate the number of minutes by deducting the start time from the end time.
Say Monique began class at time A and finished at time B.
The number of minutes spent in class is equal to B - A.
The minute hand would have thus rotated:
6 degrees per minute equals 6(B - A) minutes.
We can only conclude that the minute hand rotated six times as many minutes passed during class because we don't know the exact starting and ending times.
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find total surface area
Answer:
Step-by-step explanation:
2 triangles on either side = 4*3/2 = 6 * 2 = 12
rectangle on the back = 4*8 = 32
rectangle on top = 5*8 = 40
rectangle on bottom = 3*8 = 24
12 + 32 + 40 + 24 = 108 cm
Hope this is correct
Tell me if im wrong
the percentage of a Technology stock was $9.80 yesterday. today the price fell the $9.71. find the percentage decrease. round your answer to the nearest tenth of a percent.
[tex]\text{Yesterday} = \$9.80[/tex]
[tex]\text{Today} = \$9.71[/tex]
[tex]\% \ \text{Increase} = ((9.71 - 9.80) \div 9.80) \times 100\%[/tex]
[tex]= (-0.09\div9.80) \times 100%[/tex]
[tex]\thickapprox -0.0092 \times 100%[/tex]
[tex]\thickapprox -0.92\%[/tex]
[tex]\thickapprox \bold{-0.9 \%}[/tex] [tex]\bold{to \ the \ nearest \ tenth.}[/tex]
Help please. It’s urgent
For the given equation of function, the production is equal when x = 1/3 and x = 3.
What is an equation?A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function. y = f is how functions are typically represented (x).
The equation of the functions are:
A(x) = 3x²
B(x) = 8x + 3
The production when the functions are equal is given by:
3x² = 8x + 3
3x² - 8x - 3 = 0
3x² - 9x + x - 3 = 0
3x (x - 3) + 1 (x - 3) = 0
(3x + 1) (x - 3) = 0
x = 1/3 and x = 3
Thus, the production is equal when x = 1/3 and x = 3.
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Tom, Fred, and Rhoda combine their apples to sell at a fruit stand. Fred and Rhoda together have 35 more apples than Tom
If Fred and Rhoda together had 97 more apples than Tom, then the number of apples that Fred has is 105 apples.
Let the number of apples Fred had be denoted by variable "F".
We know that, Rhoda had 17 apples and Tom had 25 apples. We also know that Fred and Rhoda had 97 more apples than Tom.
We can write this information in equation as :
⇒ F + 17 = 97 + 25,
Simplifying this equation:
We get,
⇒ F + 17 = 122
Subtracting 17 from both sides:
⇒ F = 105
Therefore, Fred had a total of 105 apples.
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The given question is incomplete, the complete question is
Tom, Fred, and Rhoda combined their apples for a fruit stand. Fred and Rhoda together had 97 more apples than Tom. Rhoda had 17 apples. Tom had 25 apples. How many apples did Fred have?
5. At a carnival cotton candy and hot dogs are two different prices. Adam buys one cotton candy and one hot dog for $5. Shannon buys 3 cotton candies and one hot dog for $11. How
much is one hot dog? How much is one cotton candy?
help with this please.
Therefore, sin θ is equal to 15/17 using trigonometric ratios.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems involving distances, angles, and heights, and is commonly used in fields such as engineering, physics, and navigation. Trigonometry involves the study of the trigonometric functions, such as sine, cosine, and tangent, and their relationships to the angles of a right triangle. These functions are used to determine the lengths of the sides of a triangle and the measures of its angles, as well as to model periodic phenomena in various areas of science and engineering.
Here,
Since cos θ = adjacent/hypotenuse, we can draw a right triangle in Quadrant I with the adjacent side equal to 8 and the hypotenuse equal to 17. We can use the Pythagorean theorem to find the opposite side:
opposite² = hypotenuse² - adjacent²
opposite² = 17² - 8²
opposite² = 225
opposite = 15
So, the opposite side is equal to 15. Since sin θ = opposite/hypotenuse, we can substitute in the values we found:
sin θ = opposite/hypotenuse
= 15/17
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10. Alicia rides her bike 8 miles south of her house. Then she turns east for 15 miles. If she takes the short cut back home, how long will her ride by back home?
Answer:
8 miles i think
Step-by-step explanation:
i hope this helps
Of the 36 people attending a lecture, each only have one pen that is either blue, red, or black.
If 9 people have a blue pen, is the probability 1/4 that a randomly selected person will have blue pen?
A True
B) False
If a randomly selected person is considered, and the probability of them having a blue pen is 1/4.
What is probability?Probability is a fundamental concept in mathematics and statistics that allows us to quantify uncertainty and make predictions based on available information Probability can range from 0 to 1, where 0 means the event is impossible and 1 indicates a certain event
Equation:We need to know the total number of people with pens as well as the number of people with blue pens to calculate the probability of a randomly selected person having a blue pen.
According to the assumption that each person has a single pen, and that the only colors available are blue, red, and black, a randomly selected person is likely to have a blue pen:
The number of people with blue pens divided by the total number of people gives P(blue)
P(blue) = 9 / 36
P(blue) = 1/4
Out of all the pens that this person has, the probability of selecting a blue pen is 1/4.
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what to do in word problem with word product
A product is something that has undergone one maybe more multiplications. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.
Explain about the Multiplication in word problem?The primary distinction is that in division word problems, the total is provided, whereas in multiplication word problems, the total is requested.You'll frequently hear the phrases "times," "multiplied by," "product of," even "by a factor of" when discussing multiplication.Let's look at an illustration.
To purchase oranges, Sarah headed to the supermarket. She understood that there were four oranges in each bag of produce. She purchased five orange bags. How many oranges in total did she purchase?
Since we are aware that "of" frequently denotes multiplication, the operator "" is necessary.
The operator "=" can be used because the word "total" denotes equality.
We can turn the following into a mathematical statement since Sarah purchased 5 bags of oranges, and each bag includes 4 oranges.
Oranges total: 5 bags x 4 oranges, or 20 oranges.
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HELP What is the correct numerical expression for "12 times the sum of 5 and 25 minus 2?"
(12 x 5) + 25 − 2
12 x (5 + 25) − 2
12 x (5 + 25 − 2)
12 x 5 + (25 − 2)
Answer:
12×(5+25)-2
this is the answer to the question
Enes 360 sayfalık bir kitabın %30 unu okudu Enes bu kitaptan kaç sayfa daha okursa kitabın %50 sini okumuş olur
Answer:
72 Sayfa
Step-by-step explanation:
50% = (50/100) = 0.50
30% = (30/100) = 0.30
0.3 x 360 = 108
0.5 x 360 = 180
180 - 108 = 72
A car dealership pays a wholesale price of $12,000 to purchase a vehicle. This car dealership pays the salesperson commission for selling the car equal to 6.5% of the sale price. How much commission did the salesperson make when they decided to offer a 10% discount on the price of the car?