Answer:
Step-by-step explanation:
2 to 5 or 2:5
or
2 to 3 or 2:3
Sandra owns a rectangular pice of farmland that is 2/3 miles wide and has an area 5/9 square mile what is the leght of sandras farmalnd
Answer:
5/6 mile
Step-by-step explanation:
The formula for the area of a rectangle can be used with the given values to write an equation for the length of the farmland.
__
Here is the equation for the area of a rectangle.
A = LW . . . . . area is the product of length and width
When we fill in the area and width, we have ...
5/9 mi² = L(2/3 mi) . . . . . equation for the length of the farmland
Solving this equation gives ...
L = (5/9)/(2/3) mi . . . . . . . . divide by the coefficient of L
L = (5/9)/(6/9) mi = 5/6 mi . . . . . perform the division
The length of Sandra's farmland is 5/6 mile.
Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes exactly 3 books from this shelf. Let s be the number of students which visit library on a particular day. Let b be the number of books left on the shelf at the end of that day.
a How does the number of books left on the shelf depend on number of students visiting library? Find formula for the function b(s).
b.There are 150 students studying in this school. Use this information to find the domain of the function b(s).
A. b = 560 - 3s
B. b = 560 - (3 · 150) = 560 - 450 = 110
Answer:
For A: -3s+560
For B: 0<= s<= 150
Step-by-step explanation:
A word’s connotation is the definition one can find in a dictionary. the way a word needs to be pronounced. the origin and history of a word. the ideas or feelings that are associated with it.
Answer:
D - the ideas or feelings that are associated with it.
Step-by-step explanation:
Answer:
its D look
Step-by-step explanation:
tiffany is filling her daughter pool with water from a hose.She can fill the pool at a rate of 1/10 gallons per second. Choose an equivalent ratio that are associated with the rate.
A. 2/20 gallons per sec.
B.2/15 gallons per second
C. 2/10 gallons per second
Answer:
A. 2/20
Step-by-step explanation:
2/20 = 1/10
2/15 = 2/15
2/10 = 1/5
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
What is the greatest whole number that must be a divisor of the product of any three consecutive positive integers?
Answer:
6
Step-by-step explanation:
We can establish 6 as an upper bound, since 1*2*3 = 6, and 6 is clearly the greatest number that is a divisor of itself.
We can show that the product of any three consecutive numbers is divisible by 6, because out of any three consecutive integers, at least one must be divisible by 3, and at least one must be divisible by 2. Since the product must have factors of 2 and 3, it must also have 6 as a factor.
1.What shape container could be constructed to hold 3 tennis balls stacked that would allow the most efficient use of the container's volume, and why?
2. Use geometric shapes and their properties to describe five objects that you see every day?
Answer:
1. 3, because there is 3 tennis balls and number two is cylinder prism.
Step-by-step explanation:
Suppose that we don't have a formula for g(x) but we know that g(3) = −1 and g'(x) = x2 + 7 for all x.
(a) Use a linear approximation to estimate g(2.95) and g(3.05).
g(2.95) =
g(3.05) =
(b) Are your estimates in part (a) too large or too small? Explain.
A) The slopes of the tangent lines are positive and the tangents are getting steeper, so the tangent lines lie below the curve. Thus, the estimates are too small.
B) The slopes of the tangent lines are positive but the tangents are becoming less steep, so the tangent lines lie below the curve. Thus, the estimates are too small.
C) The slopes of the tangent lines are positive and the tangents are getting steeper, so the tangent lines lie above the curve. Thus, the estimates are too large.
D) The slopes of the tangent lines are positive but the tangents are becoming less steep, so the tangent lines lie above the curve. Thus, the estimates are too large.
Answer:
g(2.95) ≈ -1.8; g(3.05) ≈ -0.2A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
__
(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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HELP ME PLSSSS I NEED HELP PLSSSS
Answer:
8.9 units
Step-by-step explanation:
Distance between (3, -2) and (7, 6) using distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).
Let,
\( (3, -2) = (x_1, y_1) \)
\( (7, 6) = (x_2, y_2) \)
Plug in the values
\( d = \sqrt{(7 - 3)^2 + (6 - (-2))^2} \)
\( d = \sqrt{(4)^2 + (8)^2} \)
\( d = \sqrt{16+ 64} \)
\( d = \sqrt{80} = 8.9 \) (nearest tenth)
Answer:
8 point 9
i know
Find the equation of the line which is parallel to y = 4x -2 and passes through thepoint (-2,3).
Answer:
y = 4x + 11
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 )
y = 4x - 2 ← is in slope- intercept form
with slope m = 4
• Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
to find c substitute (- 2, 3 ) into the partial equation
3 = - 8 + c ⇒ c = 3 + 8 = 11
y = 4x + 11 ← equation of line
In the figure
Find m
For similar triangle the angle does not change, thus the angle M is 33 degrees.
What are similar triangles?Triangles that are similar in shape but differ in size are known as similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Both have the same form, although they might be different sizes. All related angle pairs are equal, and corresponding sides have the same ratio.
We can observe that the two triangles are similar.
For similar triangle the angle does not change, thus the angle M is 33 degrees.
Hence, the measure of angle M is 33 degrees.
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Angle M is 147 degrees.
Describe Triangle?A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. These line segments are called sides, and the points where the sides meet are called vertices. The sum of the three interior angles of a triangle is always 180 degrees, and the length of each side must be less than the sum of the other two sides. Triangles can be classified based on the length of their sides and the size of their angles. For example, a triangle with all three sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. Triangles are used in many areas of mathematics, as well as in physics, engineering, and other sciences, to model and solve problems.
Since triangles XYZ and LMN are congruent, corresponding angles are congruent. Therefore, angle LMN = angle XYZ = 33 degrees.
To find angle NML, we use the fact that the sum of the angles in a triangle is 180 degrees. We have:
angle LNM + angle NML + angle MLN = 180 degrees
Substituting the given values, we get:
124 + angle NML + 33 = 180
Simplifying and solving for angle NML, we get:
angle NML = 180 - 124 - 33 = 23 degrees
Therefore, angle M is the exterior angle of triangle LMN at vertex N, which is equal to the sum of the remote interior angles. We have:
angle M = angle LNM + angle NML = 124 + 23 = 147 degrees
Therefore, angle M is 147 degrees
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Write the sentence as an equation.
w added to 293 is 326
Answer:
let no be x
293+x=326
x=326-293=33
33 is needed to add.
Question 1 of 10
Simplify the following expression.
3x^4+2x³-5x² +4x²+6x-2x-3x^4 +7x^5-3x³
Combining like terms yields 7x⁵ - x³ - x² + 4x.
The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
math help plz
how to divide polynomials, how to understand and step by step with an example provided please
Answer:
hiiiiiii....!!! how r u
Write an integer for deposit of $100
Write an integer for deposit of $100:
-$100
NEED HELP ON MATH HOMEWORK QUESTION, NEED HELP!!!
First-born children tend to develop language skills faster than their younger siblings. One possible explanation for this phenomenon is that first-borns have undivided attention from their parents. If this explanation is correct, then it is also reasonable that twins should show slower language development than single children and that triplets should be even slower. Davis (1937) found exactly this result. The following hypothetical data demonstrate the relationship. The dependent variable is a measure of language skill at age 3 for each child.
Single
Child Twin Triplet
8 6 5
7 4 5
10 6 8
6 7 3
9 4 5
8 9 4
Use an ANOVA with α = .05 to determine whether there are any significant mean differences among the three groups of children.
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
Y: speed of language development on children
Factor: number of siblings
Levels of factors:
Single birth
Twins
Triplets
The claim is that the more siblings the child has, the slower he develops language abilities.
The hypotheses for the ANOVA are:
H₀: μ₁= μ₂= μ₃
H₁: At least one of the population means is different.
α: 0.05
\(F= \frac{MS_{Treatments}}{MS_{Errors}} ~~F_{Df_{Treatments}; Df_{Errors}}\)
\(F= \frac{14.00}{2.80}= 5\)
p-value= 0.0217
Using the p-value approach the decision rule is
p-value ≤ α, reject the null hypothesis.
p-value > α, do not reject the null hypothesis.
The p-value is less than the significance level, the decision is to reject the null hypothesis.
At 5% level of significance you can conclude that there is significance differences between the population means of language development on children of single birth, twins and triplets.
HELP ME PLEASE
I NEED HELP ASAP
IF IM ABLE TO GIVE OUT BRAINLIST THEN I WILL GIVE IT
The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total numberof bento boxes in the container.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = LWH
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Part a.
Therefore, the manager can use the following formula;
Volume of container = LWH
Volume of container = 7/2 × 3/2 × 3/2
Volume of container = 63/8 cm³.
Part b.
For the number of bento boxes that can fill the container, we have:
Number of bento boxes = Volume of container/Volume of bento boxes
Number of bento boxes = 63/8/(1/2)³
Number of bento boxes = 63/8/1/8
Number of bento boxes = 63/8 × 8
Number of bento boxes = 63 bento boxes = 3 layers × 21.
Part d.
Volume of container = Volume of bento boxes
63/8 cm³ = 63 × 1/8 cm³
63/8 cm³ = 63/8 cm³ (equal).
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Find the ratio a:b, if it is given that ...
7a=3b
Answer:
a:b
3:7
Step-by-step explanation:
a:b also means a/b
Taking the equation
7a = 3b
Dividing each side by b
7a/b = 3b/b
7 a/b = 3
Divide each side by 7
a/b = 3/7
The ratio is 3/7
a:b
3:7
Answer:
a:b = 3/7
Step-by-step explanation:
we need to find the ratio a:b which is the same as a/b.
7a=3b
Devide left and right of the = sign by b gives
7a/b = 3 * b/b
7a/b = 3 * 1
7a/b = 3
Multiply left and right of the = sign by 1/7 gives
1/7 * 7a/b = 1/7 * 3
7/7 * a/b = 3/7
1 * a/b = 3/7
a/b = 3/7
Since a/b is the same as a:b, we now have the answer.
a:b = 3/7
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.
How to explain the informationIn this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.
By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.
Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.
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eight hundred twenty nine and six tenths as a decimal
Hannah makes 5 out of 8 attempted free-throws! What is the average waiting time for Hannah to make her first basket, and what is the probability that she will make a basket on or before her last attempt within her average waiting time?
The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8
How can we interpret probability?Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;
Given:
Hannah makes 5 out of 8 attempted free-throws.
Now,
The average waiting time of hannah to make her first basket is 5/8
The probability of hannah making basket at her last attempt is 1/8
The probability of hannah making basket before her last attempt is 2/8
Hence, the probabilty will be 1/8 and 2/8;
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Can someone help me please
helpp please dont guesss
Answer:
\(g(x)=8*(\frac{10}{8}) ^{x}\)
Step-by-step explanation:
\(g(x)=a*b^{x} \\g(0) = a*b^{0}=a=8\\g(1) = 8*b^{1}=8b=10\\\\b=\frac{10}{8}\)
Solve 124m – 23=34 for m.
Question 5 options:
m = –12
m = 36
m = 34
m = 12
Answer:
\(124m - 23 = 34 \\ 124m = 34 + 23 \\ 124m = 57 \\ \frac{124m}{124} = \frac{57}{124} \\ m = 67\)
Answer:
m = 34
Step-by-step explanation:
Seth owns a printing shop that makes customized T-shirts. The cost to make
T-shirts is proportional to the number of T-shirts he makes. Seth graphs a line that
shows the cost per customized T-shirt. Two points on the line are (2,8) and (4, 16).
What does the slope of the line mean in this situation?
A The cost is $0.25 per T-shirt.
B The cost is $2 per T-shirt.
C The cost is $4 per T-shirt.
D The cost is $8 per T-shirt.
Answer: 4$ per shirt (C)
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 4 In this number.
842,963
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
Which drive-thru is able to estimate their wait time more consistently, and why?
Fast Chicken, because it has a smaller IQR
Fast Chicken, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
The range, which is the distance between the smallest and greatest linear equation values in the data, does not take into account the distribution of the data within that range.
What is a linear equation?In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.
Because it has a lower IQR, Fast Chicken can more consistently estimate their wait time (Interquartile Range). In this case, the IQR is the range of the middle 50% of the data, which is the distance between the first and third quartiles.
Super Fast Food, on the other hand, has a higher IQR, indicating that the data is more dispersed. This means that customers report a wider range of wait times, making it more difficult to estimate a consistent wait time. The range, which is the distance between the smallest and greatest values in the data, is not as useful for measuring consistency in this case because it does not take into account the distribution of the data within that range.
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