Answer:
\(\boxed{ \frac{3}{ 4} } \times 7 \: ... \overline{\underline{\boxed{: }} }\: ... \: 7 \times \boxed{\frac{3}{4} } \:... \overline{\underline{\boxed{: }} }\: ... \: 3 \times \boxed{ \frac{7}{ 4} } \\ \bull \: they \: all \: have \: the \: same \: denominator \to \boxed{(4)}\\ \bull \: they \: all \: have \: the \: same \: numarator \to \boxed{(3 \: \times 7 \: )}\\ \bull \: they \: all \: are \: improper \: fractions \: and \: are \: simplified \: to \to \:\boxed{ 5 \frac{1}{4} }\)
Complete the table. In the row with X as the input write the rule as an algebraic expression for the output then complete the last row of the table using the rule. Express the values in your answers as decimals
The last two rows of the table should be completed as follows:
Input Output
8 22.80
10 28.50
What is algebraic expression?An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.
The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.
To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.
Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.
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Tony rounded each of the numbers and to the nearest hundred. Which choice correctly compares the rounded numbers?.
To the nearest hundred, Tony rounded the figures 1183 and 1145.
What is meant by place values?Our entire number system is built on place value. In this system, a digit's position within a number affects its value. The placements of the digits make the numbers 42,316 and 61,432 distinct from one another.
Place value is the value that a digit in a number represents based on where it appears in the number.
In order to round the number to the nearest hundred, look at the digit after the tens place.
In the hundreds place, we add one if the number in the tens place is greater than or equal to 5.
We replace the remaining digits with 0 if the number in the tens place is less than 5.
1200 is the result of rounding 1183 to the nearest tenth (8 in this case).
1145 is rounded to 1100 because there are four tens places in it.
The complete question is;
Tony rounded each of the numbers 1183 and 1145 to the nearest hundred. Which choice correctly compares the rounded numbers
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Let A a,i+a, j+a,k and B-bi+b₂j+ b₂k A-B ab + ab + a,b, (1) Dot product
The dot product of two vectors A and B is given by the sum of the products of their corresponding components.
In this case, vector A is represented as (a,i+a,j+a,k) and vector B is represented as (-bi+b₂j+ b₂k). The dot product of A and B, denoted as A·B, can be calculated using the formula A·B = ab + ab + a,b.
The dot product of two vectors is a scalar value obtained by multiplying the corresponding components of the vectors and summing the results. In this case, we have vector A represented as (a,i+a,j+a,k) and vector B represented as (-bi+b₂j+ b₂k).
To calculate the dot product A·B, we multiply the corresponding components of A and B and add them together. The components are: (a * -b) + ((i+a) * b₂) + ((j+a) * b₂) + ((k * b₂).
Simplifying the expression, we have ab + ab₂ + a*b₂ + ab₂.
Therefore, the dot product A·B is given by ab + ab + a,b, as stated in the equation (1).
In summary, the dot product of vectors A and B is ab + ab + a,b, where A is represented as (a,i+a,j+a,k) and B is represented as (-bi+b₂j+ b₂k).
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write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Find the absolute maximum and absolute minimum values of f on the given interval. f(x)=3+54x−2x3,[0,4] absolute minimum value absolute maximum value
The absolute maximum value of f(x) on the interval [0, 4] is 168, at x = -3, and the absolute minimum value is -198, at x = 3.
To find the absolute maximum and absolute minimum values of the function f(x) = 3 + 54x - 2x³ on the interval [0, 4], we need to evaluate the function at its critical points and endpoints.
Step 1: Find the critical points by taking the derivative of f(x) and setting it equal to zero:
f'(x) = 54 - 6x²
Setting f'(x) = 0 and solving for x:
54 - 6x² = 0
6x² = 54
x² = 9
x = ±3
So, we have two critical points:
x = -3 and
x = 3.
Step 2: Evaluate the function at the critical points and endpoints:
f(0) = 3 + 54(0) - 2(0)³
= 3
f(4) = 3 + 54(4) - 2(4)³
= -125
Step 3: Compare the values obtained to determine the absolute maximum and minimum:
The function f(x) is continuous on the closed interval [0, 4]. Therefore, the absolute maximum and minimum values will occur at the critical points or the endpoints.
f(0) = 3
f(4) = -125
f(-3) = 168
f(3) = -198
Therefore, the absolute maximum value of f(x) on the interval [0, 4] is 168, which occurs at x = -3, and the absolute minimum value is -198, which occurs at x = 3.
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Order the following numbers from least to greatest 4.6, 4.4, 4.12, 4.6 repeating
Answer:
4.12, 4.4, 4.6, 4.6 repeating. hope this helps!
I NEED HELP PLEASE: If x and y are proportional, fill in the blank with a number in simplest form.
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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The measure of Angle 1 is 35º and it is complementary to Angle 2. The
measure of Angle 2 is 5x. What is the value of x?
Answer:
x = 11
Step-by-step explanation:
35 + 5x = 90 {Complementary angles}
Subtract 35 from both sides
5x = 90 - 35
5x = 55 {Divide both sides by 5}
x = 55/5
x = 11
Hello everyone how are ya‘ll help plz
23x+4=30
Answer:
= 26/23
Step-by-step explanation:
(e) how many ways are there to place a total of m distinguishable balls into n distinguishable urns, with some urns possibly empty or with several balls?
The formula for the number of ways to distribute `m` distinguishable balls into `n` distinguishable urns is: C(m + n - 1, n - 1)
The formula for the number of ways to distribute `m` distinguishable balls into `n` distinguishable urns is:
C(m + n - 1, n - 1)
where C(n, k) represents the binomial coefficient, also known as "n choose k".
In this case, the formula becomes:
C(m + n - 1, n - 1)
This formula accounts for the fact that we can think of placing `m` balls and `n-1` dividers (or "bars") in a line, and the number of ways to arrange them represents the distribution of balls into urns.
The m + n - 1 represents the total number of spaces in the line (balls + dividers), and choosing n-1 spaces to place the dividers separates the line into n sections, corresponding to the urns.
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Priya is given the following Prime Factorisations: 45=3 x 3 x 5 and 105 = 3 x 5 x 7
She uses this information as follows:
The HCF of 45 and 105 is 15 and the LCM of 45 and 105 is 105.
Priya is wrong. What mistake has she made?
answers
105= 5×5×5
Step-by-step explanation:
priya is wrong because 105 factorism is 5×5×5
Answer:
105= 5×5×5
Step-by-step explanation:
Priya is wrong because 105 factorism is 5×5×5
what is the inverse of the function y=5x+30?
The inverse of the function is y = ( 1/5 )x - 6.
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Consider the function,
y = 5x + 30
To find the inverse of the function we interchange x and y then find the equation for y.
Therefore, after interchanging x and y:
x = 5y + 30
Subtracting 30 from each side of the equation.
x - 30 = 5y + 30 - 30
x - 30 = 5y
Now, dividing the whole equation by 5
( x - 30 ) / 5 = 5y / 5
y = ( 1/5 )x - 30/ 5
y = ( 1/5 )x - 6
Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.
Determine the theoretical probability of the spinner not landing on blue, P(not blue).
0.375
0.625
0.750
0.875
Answer:
Below
Step-by-step explanation:
5 out of 8 are NOT blue 5/8=.625
please help and please dont steal my points thx
Answer:
120 reptiles
21 minutes on ride
Step-by-step explanation:
Carlos burns 75 calories for every 15 minutes he walks how many calories will Carlos burn if he walks for 45 minutes
Help brainiest answer to whoever is correct
Answer:
56 degrees
Step-by-step explanation:
Answer:
56 degrees
Step-by-step explanation:
When two lines cross eachother, the angles opposite eachother are equal.
Jonny is writing a program for a video game. For one part of the game, he uses the rule given below to move objects on the screen.
Showing all your work, give the output that the rule gives for the inputs.
(x, y)→(x−7.5, y+6.8)
First input: (5.3, 2.7)
Second input: (9.4, -3.9)
In which quadrant is the number 6 – 8i located on the complex plane?
Answer:
4th quadrant
Step-by-step explanation:
Canada and the European Union require that cars be equipped with "daytime running lights," headlights that automatically come on at a low level when the car is started. Many manufacturers are now equipping cars sold in the United States with running lights. Will running lights reduce accidents by making cars more visible? An experiment conducted in a driving simulator suggests that the answer may be "Yes." What concerns would you have about generalizing the results of such an experiment?
Probably not all driving scenarios can be accurately simulated by a driving simulator. Additionally, it's likely that simulator users have a different mindset than when they're actually behind the wheel.
Define the term experiment?The cited data:
By improving visibility during the day, daytime running lights can reduce accidents. Daytime running lights are used to help drivers gauge the size of the vehicle.Idea applied in experiment:
An institutional review committee must first approve any human experiments. All participants must give their informed consent prior to participating. Any details pertaining to study participants must remain confidential.A driving simulator is therefore unlikely to adequately replicate all driving scenarios, which is one of our concerns about extending the outcomes of such an investigation.
Thus, users of driving simulators are also probably in a different frame of mind than they are while driving is real life.
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Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need ?
To find the length of the diagonal fence that stretches from one corner to the opposite corner of a rectangle, we can use the Pythagorean theorem, which states that the square of the length of the diagonal (hypotenuse) is equal to the sum of the squares of the lengths of the two other sides (legs) of the rectangle.
In this case, the rectangle has dimensions 24 meters by 45 meters. Therefore, the length of the diagonal fence is:
Diagonal fence = √(24^2 + 45^2) meters
Simplifying the equation, we get:
Diagonal fence = √(576 + 2025) meters
Diagonal fence = √2601 meters
Diagonal fence = 51 meters
So Steve will need 51 meters of fencing to stretch diagonally from one corner to the opposite corner of his backyard.
when -1 < k < 1, describe the effect of k on f(kx) and kf(x).
The effects of the transformations on the functions are given as follows:
-1 < k < 0: f(kx) is reflected over the y-axis and horizontally stretched.-1 < k < 0: kf(x) is reflected over the x-axis and vertically compressed.0 < k < 1: f(kx) is horizontally stretched.0 < k < 1: kf(x) is vertically compressed.What are the effects of the transformations on the functions?When one function is multiplied by a negative number, the function is reflected, either over the x-axis or over the y-axis, depending on where the multiplication happened, hence:
-1 < k < 0: f(kx) is reflected over the y-axis.-1 < k < 0: kf(x) is reflected over the x-axis.In the context of this problem, in both cases, the function is being multiplied by a number that has absolute value between 0 and 1, which can either horizontally stretch the function, in the case of function f(kx), , or vertically compress, in the case of function kf(x).
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Hong made $153 for 9 hours of work.
At the same rate, how many hours would he have to work to make $187?
hours
X
Answer:
11 hours
Step-by-step explanation:
153 divided by 9 (which is 17) 17$ per hour so add 17 and 17 together which would be 34 and add it to 153 which would be 187$ he worked 2 more hours so in total he worked 11 hours.
and i know that was a bad explanation but its whatever hope this helped.
The American Academy of Pediatrics recommends that parents begin reading to their children soon after birth and that parents set limits on screen time. A new study reinforces these recommendations. In the study, 27 four-year-olds were presented with stories in three different formats: audio (sound only), illustrated (sound and pictures), and animated (sound and animation). During the presentations, a magnetic resonance imaging (MRI) machine measured each child’s brain connectivity. The researches found a "Goldilocks effect," in which audio was too cold (with low brain connectivity as the children strained to understand) and animation was too hot (with low brain connectivity as the animation did all the work for the children). The highest connectivity (just right!) was found with the illustrated format, which simulates reading a book to a child.
a)What is the explanatory variable? Is it categorical or quantitative?
b)What is the response variable? Is it categorical or quantitative?
c)How many observational units (or individuals) are there?
a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.
b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.
c) The study includes 27 four-year-olds as the observational units or individuals.
Determine the different story format?The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.
The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.
On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.
The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.
The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.
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I need help asap like nowwwwwwwww
A.) Both services will cost the same if it is for a 3 hours service.
B.) 16+9X=20+7X.
=>9x-7x=20-16.
=>2x=4.
=>x=4/2.
=>x= 2.
volume of a sphere = 4/3pir^3 where r is the radius volume of a cone = 1/3pir^2h where r is the radius and h is the height the shape below is made from a cone and a hemisphere work out the volume of the shape give your answer to the nearest integer 8cm 12cm
Answer: To find the volume of the combined shape, we need to find the volume of the cone and the volume of the hemisphere and add them together.
For the cone:
Volume = 1/3 * pi * r^2 * h
Where r is the radius and h is the height. In this case, r = 8 cm and h = 12 cm. So,
Volume = 1/3 * pi * 8^2 * 12 = (1/3) * pi * 64 * 12 = 256 * pi cm^3
For the hemisphere:
Volume = (2/3) * pi * r^3
Where r is the radius. In this case, r = 8 cm. So,
Volume = (2/3) * pi * 8^3 = (2/3) * pi * 512 cm^3
Adding the volumes of the cone and the hemisphere, we have:
Volume = 256 * pi + (2/3) * pi * 512 cm^3 = 256 * pi + 341.3333 * pi cm^3
To the nearest integer, the volume of the combined shape is:
Volume = round(256 * pi + 341.3333 * pi) = round(597.3333 * pi) = 1876 cm^3
Step-by-step explanation:
Johnny is solving the following word problem with a classmate.Elyse is 26 years younger than her mom. If Elyse’s mom is 32, how old is Elyse?The students find the solution to be 26. How could Johnny and his classmate check for reasonableness?
Number 8 I need help plz
Writer the equation of the porabola in vertex form vertex0,3 point 1,-5
Answer:
the desired equation is y = -8x^2 + 3
Step-by-step explanation:
The vertex form of the equation of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex and (x, y) is another point on the graph of the parabola.
Substitute 1 for x, -5 for y, 0 for h and 3 for k. We obtain:
-5 = a(1 - 0)^2 + 3, or
-5 = a(1) + 3, or -5 = a + 3. Then a must be -5 -3, or a = -8
and the desired equation is y = -8x^2 + 3
Sally has saved 41 quarters from washing cars. How many cents does Sally have ?
Answer:
Sally has $10.25 or 1,025 pennies
Step-by-step explanation: