Paula knit knot hats. The number of hats h she can knit varies directly with the amount of yarn y in yards she has. The constant of proportionality is 42. Interpret the meaning of the point (378,9)
Answers
The meaning of the point (378,9) is with 9 yards of yarn, Paula can knit 378 knot hats.
Given that:-
The number of hats h she can knit varies directly with the amount of yarn y in yards she has.
Also, the constant of proportionality is 42.
Hence, we can write,
h ∝ y
h = ky
where, k is the constant of proportionality, hence,
h = 42y
We have to interpret the meaning of (378, 9).
From, the equation, h = 42y
We can observe that,
When y = 9
h = 42*9 = 378.
Hence, we can write that, the meaning of the point (378,9) is with 9 yards of yarn, Paula can knit 378 knot hats.
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Related Questions
which equation represents the slope intercept form of the line when the y intercept is (0,-6) and the slope is -5
Answers
The values into the slope-intercept form, we have y = -5x - 6
The slope-intercept form of a linear equation is given by:
y = mx + b
where 'm' represents the slope of the line, and 'b' represents the y-intercept.
In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).
The slope is given as -5.
Therefore, substituting the values into the slope-intercept form, we have:
y = -5x - 6
This equation represents the line with a y-intercept of (0, -6) and a slope of -5.
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The zoo has 4 tigers and plans to adopt more tigers soon. Gabby meets with Chloe, the manager of the tiger exhibit, to discuss the tigers’ habitat. They want to make sure there is enough space for the new tigers.
The Natureland Zoo has these requirements for a tiger habitat:
The trees, feeding station, and drinking station need at least 300 square feet all together.
Each tiger needs at least 225 square feet of space.
How many square feet of space is the zoo required to have for 4 tigers? Show your work.
Answers
Answer:
multiple 4×225 because there are 4 tigers and one Tiger needs 225 square feet so mutiple 4×225 and you got 900 so the answer will be 900 square feet
A firm makes two products X and Y, and has a total production capacity of 9 tones per day, X and Y requiring the same production capacity. The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company. Each tone of X requires 20 machine hours of production time and each tone of Y requires 50 machine hours of production time. The daily maximum possible number of machine hour is 360. All the firm’s output can be sold, and the profit made is birr 80 per tone of X and birr 20 per tone of Y. it is required to determine the production schedule for maximum profit.
Answers
The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960
How to solve Linear Programming problems?We are told that two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity
The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.
Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;
x + y ≤ 9
x ≥ 2
y ≥ 3
Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;
20x + 50y ≤ 360
Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;
Z = 80x + 120y maximize
The solution from the graph attached is;
x = 3, y = 6
Thus, the maximum profit is;
Z = 80(3) + 120(6)
Z = 960
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Express 0.10190 as a fraction.
Answers
To write 0.10190 as a fraction you have to write 0.10190 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.10190 = 0.10190/1 = 1.019/10 = 10.19/100 = 101.9/1000 = 1019/10000
And finally we have:
0.10190 as a fraction equals 1019/10000
Number of decimal places = 4
So, we have to multiply by 10,000
( 0 at the end doesn’t give any value)
0.1019 = 0.1019/1
Now multiply the numerator and denominator by 10000
0.1019*10000/1*10000= 1019/10000
Let A be a 7×5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental sub- spaces associated with A are R(A), N(AT ), R(AT ), and N (A).
Answers
The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.
Given that
Dimension of matrix = 7×5
Rank of matrix = 4
The range space of A,
Which is a subspace of R, is known as R(A).
It is made up of all conceivable linear combinations of A's columns.
The dimension of R(A) = rank of A,
Which is 4 in this case.
The null space of the transpose of A,
Which is also a subspace of R, is designated as N(AT).
All potential answers to the equation ATx = 0,
Where x is a R column vector, are included in it.
N(AT) has a dimension = nullity of A,
which in this case is 3 in this example.
The range space of the transposition of A, is designated as R(AT).
The rows of A are arranged in all conceivable linear configurations.
The rank of A = 4
Thus it equal to dimension of R(AT).
N(A) is the null space of A.
Axe = 0, where x is a column vector in R, are included in it.
The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).
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can you find the slope
Answers
Answer:
-0.5
Step-by-step explanation:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
To find the slope, we need to: Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
0.5 ÷ -1 = -0.5
Thus the correct answer is -0.5Give thanks/heart for my answer please.Mark me brainiest/crown please.HAVE A GREAT REST OF YOUR DAY/NIGHT!!! :) :) :)
What are the coordinates of A' and B' when AB is reflected in the y-axis? Show your work or explain how you got your answer.
Answers
Answer:
Step-by-step explanation:
What is the rule for a reflection across the Y axis? The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same
Answer:
A'(-2, 5)
B'(-6, 3)
Step-by-step explanation:
When a point is reflected in the y-axis, the image is as far from the y-axis on the other side as the original point is on this side. That is, the y-axis is halfway between the original point and its image. The x-coordinate of a point measures how far from the y-axis it is, so reflection in the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection in the y-axis
__
A(2, 5) ⇒ A'(-2, 5)
B(6, 3) ⇒ B'(-6, 3)
Can someone please help me?
Answers
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
What is the value of the 4 in 5.874
Answers
Answer:
The 4 is in the thousandths
What is four fifths divided by two thirds?
Answers
Answer:6/5 or 1.2
Step-by-step explanation:
4/5 divided by 2/3
=4/5 *3/2
=12/10
=6/5
=1.2
Using pemdas, please help with the following questions:
Answers
Answer:
Step-by-step explanation:
(9 + 33 - 6) ÷ 6 - 3²
36 ÷ 6 - 3² p
36 ÷ 6 - 9 e
6 - 9 md
- 3 as
(10 + 43 - 5) ÷ 6 + 5²
48 ÷ 6 + 5² p
48 ÷ 6 + 25 e
8 + 25 md
33 as
(6 + 3)² + (9 - 10 + 5)
9² + 4 p
81 + 4 e
81 + 4 md not used
85 as
4 x (12 x 6 - 4²) + 9 must use pemdas inside the parentheses first
4 x (12 x 6 - 16) + 9 e (p not used inside)
4 x (72 - 16) + 9 md
4 x 56 + 9 as parentheses complete, start over
224 + 9 md (pe not used)
233 as
In the diagram, the measure of angle 6 is 98 degrees.
what is the measure of angle 7?
Answers
Answer:
Step-by-step explanation:
<6 and < 7 are supplementary.
<6 + <7 = 180
<6 = 98 degrees
98 + <7 = 180
<7 = 180 - 98
<7 = 82
which propertied belong to all isosceles triangles? check all that apply
Answers
Answer:
Step-by-step explanation:
At least two sides have the same length.
At least two angles have the same measure.
The base angles (angles opposite the equal sides) have the same measure.
The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.
The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.
Based on these characteristics, the properties that belong to all isosceles triangles are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Therefore, the correct options are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Hello, I give brainliest. Do not answer questions just to get points or you will get reported. Your answer may be incorrect but it cant be completely off. I also give thanks as well as 5 star or 1-star rating if your answer was completely incorrect.
Answers
Answer: 1/15
Step-by-step explanation:
4/5 = 1/5 leftover
1/5 3 people
1/15 (5x3)
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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help very urgent if i figure it out i will award brainlyness (or whatever its called lol) thank you !
Answers
Answer:
Step-by-step explanation:
I tried to draw as best i could.
g(x) is a function with 3 different parts
First, from when x= -3 is from -8 to -2, it is a line that goes across -3, also because there is this symbol with the line under ≤ , it means the dot is closed and filled in becuase the function includes 8. at -2 there is < with no line so the circle is open and unfilled because it is not included
2nd, There is a line at y=1, from -2 to 4, Same rules apply for open or closed circles. -2 is closed and 4 is open
3rd, There is another line at y=5 from 4 to 10 where 4 is closed and 10 is open
1. A boat drifted 15 m out into the water off Ocean Beach, where the shore drops off
at 4°. Can Brooke walk out to bring the boat back without getting water over the
tops of her hip boots which are 1 m tall? Explain your reasoning.
2. are the engineer who designed a new branch for the Mountain Railroad
Company. You sent your plans calling for 100 km of track up Bixby Mountain
taking trains 99 km east of the city of Bixby, to the City Council for approval.
But before the Council got around to looking at your plans, they passed a
regulation that no railroad tracks could go up their mountain at an angle of more
than 8°. Will your plans be approved? Why or why not?
3. The residents of Quietville, a little town 9 km from the San Francisco Airport,
insist that any plane flying over their town disturbs them if it is lower than 3 km.
Will a plane that took off at a 21° angle disturb them? Why?
4. You are an air pollution inspector, checking that factories in your city have
chimneys at least 65 m tall. Standing 50 m from the Ore Smelting Company’s
chimney, you find the angle from the ground to the chimney top is 51°. Can the
company use that chimney legally? Explain.
6. River City is offering a $3 million contract to build a bridge between points A and
C on opposite sides of City River. Along the side of the river that makes a right
angle with the line of the bridge at point C, a surveyor walked 72 m to point B
where she measured the 55° angle form B to A. Long Company will build the
bridge for $3 million if it is not more than 103 m from point A to point C. Short
Company agrees to build it if it is no more the 100 m. Which contracting firm
will be awarded the contract? Why?
7. An elderly woman is trapped 17 m up in her burning home. Can a fireman reach
her on his 26 m ladder if it has to make a 43° angle in order to clear the woman’s
greenhouse under her window? Explain your reasoning.
8. A ski lift 1000 m long goes at a 29° angle up Mt. Gentleslope. Does the lift take
skiers all of the way up to the top of the mountain where there is a snack bar at
the 500 m elevation? Explain your reasoning.
9. Mr. Johnson is a jet pilot who just moved with his family to Suburbia, 26 km
from Toledo Airport. His seven-year-old son, Eric, would like to see his father’s
plane as it flies over their new home for the first time today, but there is a layer of
clouds 5 km above the house. Will Eric be able to see his Dad’s plane if it takes
off at a 9° angle? Explain.
10.You are the cost control expert for an engineering firm designing a giant
television tower having several metal braces, each built in 21 m from the base at a
73° angle with the ground. Part of your job is to decide which standard length of
metal brace wastes less metal: the brace that comes 71 m long, or the one that is
73 m long. What is your decision?
Answers
The correct responses found using trigonometric ratios are as follows;
Brooke's cannot bring the boat back without getting water over her boots.The plan will not be approvedThe plane will not disturbThe company can not use the chimney legallyThe Long company will build the bridgeThe fireman can reach her.The lift does not take the skiers up to the bar.Eric will be able to see his Dad's plane.The 73 m. braceHow can trigonometric ratios be used to find the right responses?1. The depth of the water = 15 × tan(4°) = 1.049 m
The height of Brooke's boot = 1 m
Therefore;
Brooke's cannot bring the boat back without getting water over her boots.2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°
Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;
The plan will not be approved.3. Height reached by the plane = 9 × tan(21°) = 3.455
Therefore;
The plane will not disturb.4. Height of the chimney at the factory = 50 × tan(51°) = 61.745
The minimum chimney height = 65 m.
Therefore;
The company can not use the chimney legally.6. Length of the bridge = 72 × tan(55°) ≈ 102.83
Therefore;
The Long company will build the bridge because it is longer than 100 m. but not more than 103 m.7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7
Therefore;
The fireman can reach her.8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8
Therefore;
The lift does not take the skiers up to the bar.9. Height reached by plane = 26 × tan(9°) ≈ 4.12
The plane flies under the cloud therefore;
Eric will be able to see his Dad's plane.10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83
Therefore;
The brace that wastes less metal is the 73 m. brace, because the 71 m. brace is not long enough and two braces will be required.Learn more about trigonometric ratios here:
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Latoya took a piece of wood 13 - inches long and sawed off a piece measuring a inch. what is the length remaining.
Answers
Answer: 12 Inches
Step-by-step explanation: If the wood is originally 13 inches and the piece sawwed off was one inch, then 13-1=12 Inches.
LOOK AT THE IMAGE BLEOW TO SEE THE PROBLE:
Answers
π - This is an irrational number. 22/7 - The number is rational but not an integer. 3.3 - The number is an integer but not a whole number.
What is rational and irrational numbers?The term "rational number" refers to any number that can be stated as a fraction, as well as a positive, negative, or zero. If q is not equal to zero, it may be expressed as p/q.
Irrational numbers are those that are not logical in nature. Let's explain; irrational numbers may be expressed as decimals but not as fractions, hence they cannot be expressed as the ratio of two integers.
π - This is an irrational number.
22/7 - The number is rational but not an integer.
3.3 - The number is an integer but not a whole number.
The number is a whole number but not a natural number.
9 -This number can be written as a natural number.
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what is the value of 6 + 4 x ( 3 x 4 - 4 )
Answers
Answer: 80
Step-by-step explanation:
Answer: The correct answer is 80
Step-by-step explanation:
in parentheses 3x4 = 12 - 4 = 8
6 + 4 = 10
10 x 8 = 80
guys im on my english homeworks now'
the question is how many letters in the alphabet please answer quickly i dont know the answer!!!!!
Answers
Answer:
There are 26 letters
Step-by-step explanation:
hope that helps
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
Answers
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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In this 45-46-90 triangle , I have been given the length of a leg . How do I find the length of the hypotenuse
Answers
Answer:
nothing actually Iteursitskysjtskydjtsitsitsitskgditdkgd elhsitdlhclufluclydlhcogogjdy
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Sum of the interior angles of any triangle equal 180° .
Thus ;
The angle which facing to the side 4 is 45°.
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Hint :
In a right triangle, the side facing the 45° angle is √2 / 2 times the hypothenuse .
Thus ;
\( \frac{ \sqrt{2} }{2} x = 4 \\ \)
Multiply sides by 2
\(2 \times \frac{ \sqrt{2} }{2} x = 2 \times 4 \\ \)
\( \sqrt{2} x = 8 \\ \)
Divide sides by √2
\( \frac{ \sqrt{2}x }{ \sqrt{2} } = \frac{8}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times 2}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times \sqrt{2} \times \sqrt{2} }{ \sqrt{2} } \\ \)
\(x = 4 \sqrt{2} \\ \)
\(x = hypothenuse = 4 \sqrt{2} \)
Done...
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What is greater 1.0275 or 1.029
Answers
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answers
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
Answers
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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Which equation is equivalent to 60% of 25.
Answers
Answer
0.6 • 25 = x
Step-by-step explanation:
60/100 x 25
0.6 x 25
A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?
one fifth
10
25
35
Answers
35 is a reasonable prediction of the number of times he will select 2 yellow socks?
what is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
What is event?In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.
In the given question,
The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:
P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25
So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.
To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:
E(X) = n * p
where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.
In this case, n = 175 and p = 1/25. So,
E(X) = 175 * (1/25) = 7
Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.
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Can anyone help me find the correct angle for ZWP?
Answers
Answer:
56 degrees
Step-by-step explanation:
Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).
You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)
The height of a rocket a given number of seconds after it is released is modeled by h(t)=-16t+32t+10 what does t represent?