Option B - Teachlet tutorials.
The approach uses Teachlet Tutorials, a combination of traditional seminar–type teaching with interactive exploration of the content by the audience, and development of self-contained tutorials on the topic. In addition to a presentation, an interactive software tool is developed by the students to assist the audience in learning and exploring the topic's details. This process is guided through set tasks. The resulting course material is developed for two different contexts:
(a) for classroom presentation and
(b) as an interactive, self-contained, self-learning tutorial.
Teachlet tutorial is a form of presentation module that comprises lessons and instructions. It provides learners to get academic as well skill-enhancing lessons that could be easily comprehended.
It is a type of tech learning lesson plan where online study modules and materials are available in the presentation format to make people learn and evaluate themselves thereon. Therefore, it is an online course to get immediate results out of self- learning tutorials and online practice tests.
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The height of a box is 7 inches. The length is three inches more than the width. Find the width if the volume is 910.
The width of the box whose height is given as 7 inches and length is three inches more than the width given a volume of 910 is; 10 inches.
What is the width of the box in discuss whose height, length and width are as described in the task content?It follows from the task content that the height of the box is; 7 inches.
Let, x = width of the box and;
x+ 3 = length of the box.
Therefore, since the volume of a box is given by the formula;
V = l × b × h
Therefore, we have;
910 = 7 (x) (x+3)
Divide both sides by; 7
130 = x² + 3x
x² + 3x -130 = 0.
(x+13) (x-10) = 0
Therefore, x = -13 or x = 10.
Ultimately, the possible values of the width are; -13 or 10.
Since the width cannot be a negative number, it follows that the width of the box in discuss is; 10 inches.
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Write each expression as a single logarithm.
4 log m-log n
If we solve the expression 4 log m-log n,then it will look like log([tex]m^{4}/n[/tex]) as single logarithm.
Given that the expression is 4 log m-log n.
We are told to write the expression as a single logarithm.
logarithm is basically the exponent or power to which a base must be raised to yield a given number. It is opposite to exponential function.
The expression is 4 log m-log n.
We know that log [tex]a^{b}[/tex]=b log a and log (m/v)=log m-log n.So,
4 log m-log n=log [tex]m^{4}[/tex]- log n
=log ([tex]m^{4}/n[/tex])
Hence if we solve the expression 4 log m-log n,then it will look like
log([tex]m^{4}/n[/tex]) as a single logarithm.
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Juna noticed that easter fell on april 1st in 2018, april 21st in 2019, and april 12* in 2020, and april 4th in 2021. she conjectured that easter always falls in the first 22 days in april. can you find a counterexample that disproves her conjecture?
A counterexample that disproves her conjecture is that Easter date fell outside the first 22 days in April in the year 2024, 2027, 2032 and 2038.
Easter Sunday might come between March 22 and April 25. Easter is always celebrated on the Sunday immediately following the Paschal Full Moon date of the year. The Paschal Full Moon is the first Ecclesiastical Full Moon date after March 20. So, in Western Christianity, Easter is always celebrated on the Sunday immediately following the Paschal Full Moon.
Her conjecture over 2018 to 2021 is not a full reflection of the changes that occurs in these dates. To draw a more concrete assumptions, a wider range of year would need to be considered. Hence, the date variations between 2018 and 2021 is not enough for such conjectures.
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How do you graph -3x+4y<4
The graph is a dashed line, shaded area below the boundary line since y is less than (3/4)x + 1).
What is the graph of -3x + 4y < 4?Given the inequality in the question;
-3x + 4y < 4
First, rearrange the inequality in slope-intercept form ( y = mx + b )by solving for y.
-3x + 4y < 4
4y < 3x + 4
Divide each term by 4
4y/4 < 3x/4 + 4/4
y < (3/4)x + 1
Now, compare to the slope-intercept form ( y = mx + b )
y < (3/4)x + 1
Slope m = 3/4
b = 1 which gives the y-intercept: ( 0,1 ).
Now, graph a dashed line, then shade the area below the boundary line since y is less than (3/4)x + 1 ( y < (3/4)x + 1 ).
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In triangle $ABC,$ $M$ is the midpoint of $\overline{AB}.$ Let $D$ be the point on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC,$ and let the perpendicular bisector of $\overline{AB}$ intersect $\overline{AD}$ at $E.$ If $AB = 44,$ $AC = 30,$ and $ME = 10,$ then find the area of triangle $ACE.$
please help with this, it will truly be appreciated
Using the description, area of triangle ACE is solved to be 150 square units
How to find angle ACEfrom the given data we fine AE using Pythagoras rule, as AE is the hypotenuse of the triangle AEM. So we solve as:
AE^2 = ME^2 + AM^2
AE^2 = 10^2 + 22^2
AE = √(100 + 484)
AE = √584
note AM is half of AB which is 44, it was given that M is the mid point of line AB, this makes AM = AB / 2 = 22
Area of triangle ACE
area of triangle when two sides and one angle is given is solved by the formula
= a b sin ∅ / 2
angle at A/2 = arc tan (10/22) = 24.44
= AC * AE * sin A/2 / 2
= 30 * √584 * sin 24.44 / 2
= 299.95 / 2
= 149.98 ≅ 150
Hence area of triangle ACE is solved to be 150 square units
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Name two numbers that have a greatest common factor of 8.
Answer:
that the greatest common factor of 24 and 32
Answer:
24 and 32
Step-by-step explanation:
Which equation best represents the relationship between x and y in the graph
The equation of the line is y= 3 - 2x.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
Coordinates (0, 3) and (2, -1)
So,
slope = -4/2=-2
and equation of line is
(y- y1) = m (x- x1)
y-3 = (-2)(x-0)
y-3 = -2x
y= 3 - 2x
Hence, the equation of line is y= 3 - 2x.
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Distributing the - sign outside the parentheses
-4.3s-(9t+1)
The - sign outside the parentheses is 1-9t-4.3s
It follows from the task content that the expression which is equivalent to; −-4.3s-(9t+1) by distributing the "-" sign outside the parentheses is required.
Hence, it follows that each term in the parentheses is multiplied by the negative sign outside the parentheses as follows;
-4.3s-(9t+1)
=-4.3s--9t-1
=1-9t-4.3s
Ultimately, the expression which is equivalent to that given in the task content by distributing the "-" sign outside the parentheses is; 1-9t-4.3s.
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I NEED HELP IMMEDIATELY PLEASE
Answer:
∠2 = 35 degrees because it is the vertical angle of ∠3
∠6 = 35 degrees because it corresponds with ∠2
∠4 = 145 degrees because when added to ∠2 145 + 35 = 180
A straight line equals 180 degrees. ∠4 and ∠2 are on the same line which means they have to add up to 180 degrees.
Step-by-step explanation:
A group of students visited the zoo café for lunch. Each student received a bacon cheeseburger and milkshake, and the total bill was $104.00. How many students were in the group? Show your work
Sandwiches Sides Beverages
Hamburger $3.25
Bacon Cheeseburger $4.75
Chicken Fajita Taco $3.50
French Fries, Small $1.55
French Fries, Large $1.90
Onion Rings $2.40
Cole Slaw $1.45
Soft Drink, Small $1.30
Soft Drink, Large $1.65
Milkshake $3.25
Juice $1.80
PLEASE SHOW YOUR WORK
The number of students in the group = 13
for this question,
Let n be the number of students.
Each student received a bacon cheeseburger and milkshake, and the total bill was $104.00
We need to find the total number of students in the group.
A Bacon Cheeseburger costs $4.75 and Milkshake costs $3.25.
Total cost of a bacon cheeseburger and milkshake is:
$4.75 + $3.25 = $8
The total bill was $104.00
So, we get an equation,
⇒ 8 × n = 104
By unitary method,
⇒ n = 104/8
⇒ n = 13
Therefore, the number of students in the group = 13
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Which pair of expressions below or equivalent?
Simplify [tex]\sqrt{18[/tex]
Answer:
3√2
Step-by-step explanation:
Square root of 18 is equal to 3√2 in radical form and 4.24264068712 in decimal form.
A cyclist is riding on a bike trail, pedaling at a speed of 20 miles per hour. the cyclist plans to pedal at this speed for the next 35 miles, plus or minus 10 miles. find the minimum and maximum number of hours the cyclist will pedal at that speed.
The cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.
The relation between speed, distance and time is as follows -
Speed = distance ÷ time. The maximum and minimum number of hours will depend on the distance. The maximum number of hours will be spent when maximum distance is covered, and minimum number of hours will be spent when minimum distance is covered.
Maximum distance = 35 + 10
Maximum distance = 45 miles
Minimum distance = 35 - 10
Minimum distance = 25 miles
Maximum number of hours = 45 ÷ 20
Maximum number of hours = 2.25 hours
Minimum number of hours = 25 ÷ 20
Minimum number of hours = 1.25 hours
Thus, cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.
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By measuring the amount of carbon- 14 in an object, a palaeontologist can determine its approximate age. The amount of carbon-14 in an object is given by, y=a e⁻⁰.⁰⁰⁰¹²t, where a is the amount of carbon- 14 originally in the object, and t is the age of the object in years. In 2003, a bone believed to be from a dire wolf was found at the La Brea Tar Pits. The bone contains 14% of its original carbon-14. How old is the bone?
a. What numbers should you substitute for y and t ?
The bone is approximately 16384 years old, as solved by basic algebra and logarithm.
The values of y and t can be: t = 16384, y = 16380(a). (as calculated by basic algebra and logarithm).
What is basic algebra and logarithm?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Let 'a' be the original amount of the object.
Then, according to question, for y = amount of carbon in the object, y = 0.14(a) (as the bone contains 14% of its original carbon-14).
We are also given that: y = a [tex]e^{-0.00012t}[/tex]
On substituting the value of y, we get: 0.14a = a [tex]e^{-0.00012t}[/tex]
By basic algebra, we can solve it as:
=> 0.14 = [tex]e^{-0.00012t}[/tex]
=> ln (0.14) = ln ([tex]e^{-0.00012t}[/tex]) (taking natural logarithm on both sides)
=> ln (0.14) = - 0.00012t (as [tex]log_b(a)^m=m(log_b(a))[/tex]; further: [tex]log_e(e) = 1[/tex])
=> [tex]\frac{ln(0.14)}{-0.00012}[/tex] = t
=> t = 16384 years (approx.)
The values of y and t can be as follows: t = 16384, y = a (0.9998(16384)) = 16380(a).
Hence, the bone is approximately 16384 years old, as solved by basic algebra and logarithm; The values of y and t can be: t = 16384, y = 16380(a). (as calculated by basic algebra and logarithm).
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How many packages of diapers (d) can you buy with $40 if one package costs $8?
Answer:
5
Step-by-step explanation:
because 8+8+8+8+8=40 or 8*5
and theres 8 five times
which of the following values are in the domain of the function graphed below? check all that apply. 8 0 5 -1 9 -2
Answer:
cant answer without a function graphed
Step-by-step explanation:so yeah
A recipe uses 2 cups of milk to make 6 servings. If the same amount of milk is used for each serving, how many servings can be made from two gallons?
A recipe uses 2 cups of milk to make 6 servings. If the same amount of milk is used for each serving, Two gallons of milk will make 192 servings
How to find the how many servings can be made from two gallons of milkGiven data
2 cups of milk to make 6 servings.
Assuming
1 gallon 4 quarts
1 quart 2 pints
1 pint 2 cups
1 cup = 8 fluid ounces
if 1 quart 2 pints, then 4 quarts will be
= 4 * 2 = 8 pints
if 1 pint 2 cups, then 8 pints will be
= 8 * 2 = 16 cups
if 1 gallon is 16 cups, the 2 gallons will be
= 16 * 2 = 32 cups
If 1 cup is 6 servings, then 32 cups will be
= 32 * 6 = 192 servings
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D. C=15.75h
2.
Dylan is building a model car. The actual length of the car is 12 feet and is represented
by 5 inches in the model.
Which equation represents the relationship between the actual length (a), in feet, and
the length of the model (m), in inches?
A.
B.
C.
D.
a=
m = 2a
a=0.52m
m = 0.52a
The equation that can be use to represent the relationship between the actual length(a) in feet, and the length of the model (m), in inches is a = 2.4m or m = a / 2.4
How to use equation to represent the relationship between actual length and length of the model?The actual length of the car is 12 feet and is represented by 5 inches in the model.
The equation that can be use to represent the relationship between the actual length(a) in feet, and the length of the model (m), in inches is as follows:
12 feet = 5 inches
Hence,
m = 5 / 12 a
a = 2.4m
where
a = actual length in feetm = length of the modelor
m = a / 2.4
Therefore, the equation that can be use to represent the relationship between the actual length(a) in feet, and the length of the model (m), in inches is a = 2.4m or m = a / 2.4
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!!BIRD PEOPLE!!
What kind of bird might this belong to? It’s a Florida feather and it’s about 2-3 inches long
Answer:
I'm not completely sure, but it does look similar to a Florida Mockingbird to me, I'll do more research and comment on any new finds. Hope this helps.
Step-by-step explanation:
Answer:
yeah it might be a florida mocking bird i got a lot around where i live
Step-by-step explanation:
PLS!!!! HURRY
Select all the correct answers.
Which values are in the solution set to this inequality?
A. x=11
B. x=12
C. x=4
D. x=18
E. x=15
Answer:
option D is the correct option
A seat on a ferris wheel is level with the center of the wheel. the diameter of the wheel is 200 feet. suppose the wheel rotates 60°, causing the height of the seat to decrease. how much closer to the ground is the seat after the rotation? 50 feet 50 startroot 3 endroot feet 100 feet 100 startroot 3 endroot feet
Using sine formula, the seat on a Ferris wheel is 50√3 feet closer to the ground after rotating 60°.
One of the 6 trigonometric functions is the sine function. Sine function can be described as the ratio of the length of the opposite side of the triangle to its hypotenuse.
sin x = (opposite side) / (hypotenuse)
where "opposite side" is the length of the side opposite to angle x
If the wheel rotates 60°, causing the height of the seat to decrease, using sin formula, solve for the vertical distance between the positions before and after the rotation.
sin x° = (opposite side) / (hypotenuse)
where x = 60
opposite side = vertical distance between the positions before and after the rotation
hypotenuse = radius = 200 feet/2 = 100 feet
sin 60° = opposite side / 100 feet
opposite side = 50√3 feet
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look at the picture and get an answer
Answer:
The symbol should be equal to.
They are the same when the first expression is multiplied.
Answer:
=
Step-by-step explanation:
6.738 × 10^-11 = 0.00000000006.738
0.00000000006738 = 0.00000000006738
Solve 4.3t + 6.8 = 8.4t – 7.55 for t.
Question 1 options:
A)
3.5
B)
–0.18
C)
–3.5
D)
–1.13
Answer:
A) 3.5
Step-by-step explanation:
Solving the equation: First bring all the terms with variable 't' to one side of the equation.4.3t + 6.8 = 8.4t - 7.55
Subtract 8.4t from both sides,
4.3t - 8.4t +6.8 = -7.55
Combine like terms,
-4.1t + 6.8 = -7.55
Now isolate 't'To isolate 't' first subtract 6.8 from both sides.
-4.1t = -7.55 - 6.8
-4.1t = -14.35
Divide both sides by (-4.1)
t = -14.35 ÷ (-4.1)
t = 3.5
what is -1/3/4 x 5/2/5 multiplying mixed numbers
We get the product -9 9/20 after multiplying the given two mixed numbers -1 3/4 and 5 2/5.
Mixed numbers: A mixed number is a whole number, and a proper fraction represented together.
Multiplication: In simple algebra, multiplication is the process of calculating the result when a number is taken times. The result of a multiplication is called the product.
Given are two mixed numbers -1 3/4 and 5 2/5.
Explanation:
= -1 3/4 * 5 2/5
converting both the mixed numbers into improper fractions, we get
= -7/4 * 27/5
multiplying numerator by numerator and denominator by denominator, we get
= -189/20
= -9 9/20
Therefore, we get the product -9 9/20 after multiplying the given two mixed numbers -1 3/4 and 5 2/5.
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The school that ming goes to is selling tickets to the annual talent show. on the first day of
ticket sales the school sold 8 senior citizen tickets and 4 student tickets for a total of $84. the
school took in $66 on the second day by selling 8 senior citizen tickets and 2 student tickets.
find the price of a senior citizen ticket and the price of a student ticket.
The school that Ming goes to sell their tickets as follows: price of a senior citizen ticket is $6 and the price of a student ticket is $9
How to find the price of a senior citizen ticket and the price of a student ticket
Given data
first day 8 senior citizen tickets and 4 student tickets for a total of $84
second dat 8 senior citizen tickets and 2 student tickets for a total of $66
let the price of a senior citizen ticket be x and the price of a student ticket be y. The equation is written as:
8x + 4y = $84 equation 1
8x + 2y = $66 equation 2
subtracting equation 2 from equation 1
( 8x - 8x ) + 4y - 2y = 84 - 66
0 + 2y = 18
2y = 18
y = 9
substituting y = 9 into equation 1
8x + 4y = 84
8x + 4 * 9 = 84
8x + 36 = 84
8x = 84 - 36
8x = 48
x = 6
Hence the price of a senior citizen ticket is $6 and the price of a student ticket is $9
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What is the solution of log (3-2 x)=-1 ?
Solution of logarithmic eq. log (3 - 2x) = -1 is , [tex]x = \frac{29}{20}[/tex]
What is logarithmic equation ?In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as [tex]log_{a}x[/tex] .
where, a is the base of function or equation
x is expression equation
Mathematically, if [tex]a^x = N[/tex] is an exponential function then, this can be converted to logarithmic function as [tex]log_aN = x[/tex].
There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.
Some important formulas of logarithms :
[tex]log a + log b = log a.b[/tex][tex]log a - log b = log \frac{a}{b}[/tex][tex]log a^x = x loga[/tex][tex]log_aa=1[/tex][tex]log_a1=0[/tex]According to given statement,
log (3 - 2 x)= -1
now convert this equation to exponential form
=> 3 - 2x = 10^-1
=> 3 - 2x = 1/ 10
=> x = 29 / 10
Thus solution for this equation is x =29/20.
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Are the following figures similar? (yes or no)
Answer:
I believe the answer is yes.
Step-by-step explanation:
Good Luck!!
3. El resultado de restarle 13 a la suma de dos
números consecutivos, es 18. ¿Cuáles son esos
números consecutivos?
(1) 6 y 7
(2)9 y 10
(3) 10 y 11
(4) 15 y 16
(5) 31 y 32
When the result of subtracting 13 from the sum of two consecutive numbers is 18. The numbers are 15 and 16. The correct option is d.
How to illustrate the information?From the information, the result of subtracting 13 from the sum of two consecutive numbers is 18.
Let the numbers be x and x+1.
Therefore, (x + x + 1) - 13 = 18
2x + 1 - 13 = 18
2x - 12 = 18
2x = 18 + 12
2x = 30
Divide
x = 30/2
x = 15
Therefore, when the result of subtracting 13 from the sum of two consecutive numbers is 18. The numbers are 15 and 16. The correct option is d.
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What is the equation of a line that passes through the point (1, −2) and is parallel to 10x+2y=−2 ?
Answer:
y = - 5x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
10x + 2y = - 2 ( subtract 10x from both sides )
2y = - 10x - 2 ( divide through by 2 )
y = - 5x - 1 ← in slope- intercept form
• Parallel lines have equal slopes , then
y = - 5x + c ← is the partial equation
to find c substitute (1, - 2 ) into the partial equation
- 2 = - 5 + c ⇒ c = - 2 + 5 = 3
y = - 5x + 3 ← equation of parallel line
Answer: y = - 5x + 3
Step-by-step explanation: i took the test
what gradient?
pls help giving brainliest answers!! :)
Answer: 2
Step-by-step explanation:
4x-2y=6
Divide both parts of the equation by 2:
2x-y=3
2x-y+y=3+y
2x=3+y
2x-3=3+y-3
2x-3=y
y=2x-3