The weight of the plane if it is carrying gallons of fuel is 2336 pounds, under the condition of when carrying 10 gallons, and 45 gallons he airplane weighs 2056 and 2252 pounds.
We can utilize the two given points to create two linear equations
y = mx + b
2056 = 10m + b
2252 = 45m + b
We can find m and b by subtracting the first equation from the second equation:
(45m + b) - (10m + b) = 2252 - 2056
35m = 196
m = 5.6
For finding b by substituting m into one of the original equations:
2056 = 10(5.6) + b
b = 2000
The equation is
y = 5.6x + 2000
To evaluate how much the airplane weighs when carrying 60 gallons of fuel, now lets substitute x into the equation
y = 5.6(60) + 2000
y = 336 + 2000
y = 2336
The weight of the plane if it is carrying gallons of fuel is 2336 pounds, under the condition of when carrying 10 gallons, and 45 gallons he airplane weighs 2056 and 2252 pounds.
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The complete question is
Suppose that the weight (in pounds) of an airplane is a linear... Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 10 gallons of fuel, the airplane weighs 2056 pounds. When carrying 45 gallons of fuel, it weighs 2252 pounds. How much does the airplane weigh if it is carrying 60 gallons of fuel?
Find the total surface area of this triangular prism
Answer:
2(1/2)(8)(15) + 17(2) + 8(2) + 15(2)
= 200 cm^2
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
5,070
3,380
2,986
2,084
Answer:3,380
Step-by-step explanation:
we need to apply cross-multiplication to the ratio of chili preferences in the sample (60) against the total attendance (8450). This gives us:
(60/150) = (x/8450)
where x is the number of people in attendance who would prefer chili on a hot dog.
Simplifying this equation, we get:
x = (60/150) * 8450x = 3,380
Is ΔABC ~ ΔDEF? Explain.
Answer:
ΔABC and ΔDEF are similar by (AA).
option (2)
Step-by-step explanation:
Here to test if the two triangles are similar based on the information given I will attempt to see if they are similar using
Angle-Angle (AA) Similarity Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
Δ = 180°
therefore using the givens:
m∠CAB = 18°
m∠ABC = 110°
m∠ACB = 180°-110°-18° = 52°
now for ΔDEF
because we know corresponding parts of similar triangles are proportional
∠DEF ≅ ∠CAB
and because m∠ACB = 52° and m∠FDE = 52°
∠FDE ≅ ∠ACB
Therefore by AA, we have proven that these two triangles ΔABC and ΔDEF are similar.
so option (2)
Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
The surface area of the triangular pyramid in the image given is calculated as: C. 323 square inches.
How to Find the Surface Area of a Triangular Pyramid Using its Net?To find the surface area of the triangular pyramid, find the area of each face and the base as shown in the net given and add all together.
Area of the three triangular faces = 3(1/2 * base * height)
= 3(1/2 * 15 * 10)
= 3(75)
= 225 square inches
Area of the triangular base = 1/2 * base * height
= 1/2 * 15 * 13
= 97.5 square inches
The surface area = 225 + 97.5 = 322.5
≈ 323 square inches.
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Dean loves rocks. Altogether, they have 6 66 pieces of granite, 3 33 pieces of marble, and 14 1414 pieces of sandstone.
What is the ratio of pieces of sandstone to total pieces of rock in Dean's collection?
(Choice A)
9
:
14
9:149, colon, 14
A
9
:
14
9:149, colon, 14
(Choice B)
14
:
9
14:914, colon, 9
B
14
:
9
14:914, colon, 9
(Choice C)
14
:
23
14:2314, colon, 23
C
14
:
23
14:2314, colon, 23
(Choice D)
23
:
14
23:1423, colon, 14
D
23
:
14
23:14
Answer:
a maybe
Step-by-step explanation:
-3×(2×-5) how do u solve it
The value of 3×(2×-5) is 30
What is meant by the term value?
Value refers to the worth or usefulness of something, typically determined by its usefulness, desirability, or importance in relation to other things. It can also refer to the ethical or moral principles and beliefs that guide a person's actions and behaviours.
According to the given information
To solve the expression -3×(2×-5), we first need to evaluate the expression inside the parentheses:
2×-5 = -10
Then, we can substitute this value into the original expression and simplify further:
-3×(-10) = 30
Therefore, -3×(2×-5) = 30.
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For the line y = 1 — 4x, create a table to show the values of x and y where x is from -2 to 2.
Answer:
Answers in the picture. Thanks
To create a table for the line y=1-4x from x=-2 to x=2, we substitute in each x value into the equation, solve for y, and display these pairs in a table. The pairs are (-2, 9), (-1, 5), (0, 1), (1, -3), and (2, -7).
Explanation:
The equation of the line is y = 1 - 4x. To create a table showing the values of x and y where x is from -2 to 2, we need to substitute each value of x into the equation, solve for y, and then organize the results in a table.
When x = -2, y = 1 - 4*(-2) = 1 + 8 = 9When x = -1, y = 1 - 4*(-1) = 1 + 4 = 5When x = 0, y = 1 - 4*0 = 1When x = 1, y = 1 - 4*1 = 1 - 4 = -3When x = 2, y = 1 - 4*2 = 1 - 8 = -7
So, the table representing these values would look like this:
x y
-2 9
-1 5
0 1
1 -3
2 -7
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The manager of a local nursery wants to know which types of plants his customers buy most often. What is the population from which the manager should choose a sample to answer her question?
A. The first 25 adults who come into the nursery during one business day.
B. The list of customers who purchased plants from the nursery.
C. Every adult who enters the nursery during one business day.
D. Subscribers to a gardening magazine.
The population from which the manager should choose a sample to answer her question is: B. The list of customers who purchased plants from the nursery.
How to distinguish between population and sample?A population is a term that goes by the definition of it being the entire group that we specifically intend to get conclusions about. Meanwhile, we ca sample is defined as the specific group that you will collect data from. The size of the given sample is normally always less than that of the total size of the given population. In research, it is noticed that a population doesn't always mean we are referring to people.
Now, we are told that the manager wants to know which types of plants his customers buy most often.
Looking at the options, the most appropriate population from which a sample could be gotten from is the list of customers who purchased plants from the nursery.
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Right answer gets brainliest and 25 points‼️‼️‼️‼️
Answer: d
Step-by-step explanation:
Answer:
B: Range of round 1 were higher than the range of Round-2.
Step-by-step explanation:
Please give me Brainliest.
1+1+1+1+1++1+1+1++1+1+1+1+1+3+3+34+4748957+84765-8476+84564-4-776466+4765
If you give me a crown I give you 50 points.
Answer:
4138158
Step-by-step explanation:
1+1+1+1+1+1+1+1+1+1+1+1+1+3+3+34
-13+6+34
-19+34
=59
4748957+84765
=4833722
59+4833722
=4833781
keep counting all of the number and then you get the same (?? iguess) answer as mine.
To obtain certification for a certain occupation, candidates take a proficiency exam. The exam consists of two sections, and neither section should be more difficult than the other. To investigate whether one section of the exam was more difficult than the other, a random sample of 50 candidates was selected. The candidates took the exam and their scores on each section were recorded. The table shows the summary statistics
The test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections for all candidates similar to the one in the investigation is given by t = 75 - 65 / [8 / √(50)], option (A) is correct.
The appropriate test to determine if there is a significant mean difference between the percent correct on the two sections is a two-sample t-test assuming equal variances.
The test statistic for this hypothesis test can be calculated using the formula:
t = x' / ([tex]s{p}[/tex] × √n')
where x' is the sample means for the first and second sections, respectively, [tex]s{p}[/tex] is the pooled standard deviation, and n' is the sample sizes for the first and second sections.
Using the information given in the question, we can calculate the values needed for the test statistic:
x₁ = 75, x₂ = 65, s₁ = 10, s₂ = 5, n' = 50
x’ = x₁ - x₂ = 75 - 65 = 10
The pooled standard deviation is given by [tex]s_{p}[/tex] = 8
We can calculate the test statistic:
t = (x') / [[tex]s_{p}[/tex] / √(n)]
t = 75 - 65 / [8 / √(50)]
Further simplifying:
t = 10 / [8 / √(50)]
t = 8.8356
Hence, option (A) is correct.
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– The question is incomplete, The complete question is:
To obtain certification for a certain occupation, candidates take a proficiency exam. The exam consists of two sections, and neither section should be more difficult than the other. To investigate whether one section of the exam was more difficult than the other, a random sample of 50 candidates was selected. The candidates took the exam and their scores on each section were recorded.
The summary of the statistics are as follows:
-For the first section, Mean Percent Correct is 75 and Standard Deviation Percent Correct is 10
-For the second section, Mean Percent Correct is 65 and Standard Deviation Percent Correct is 5
-The difference is, Mean Percent Correct is 10, and the pooled Standard Deviation Percent Correct is 8
Which of the following is the test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections (first minus second) for all candidates similar to the one in the investigation?
A) t = 75 - 65 / (8 / √(50))
B) t = 75 - 65 / [√(10² / 50 + 5² / 50)]
C) x² =(75 - 70)² / 70 + (65-70)² / 70
D) x² = (75-70)² / 65 + (65-70)² / 65
Find the value of sin Q rounded to the nearest hundredth, if necessary.
√95
P
7
To find sin(Q), we first calculated the length of the hypotenuse using the Pythagorean theorem. Then we used the sine function to find sin(Q) which is approximately 0.78 rounded to the nearest hundredth.
We can use the Pythagorean theorem to find the length of the third side, which is the hypotenuse
h = √(P² + Q²)
h = √(7² + √95²)
h = √(49 + 95)
h = √144
h = 12
Now, we can use the sine function to find sin(Q)
sin(Q) = opposite/hypotenuse = √95/12
Using a calculator, we get
sin(Q) ≈ 0.78
Rounding to the nearest hundredth, we get
sin(Q) ≈ 0.78
Therefore, the value of sin(Q) rounded to the nearest hundredth is 0.78.
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--The given question is incomplete, the complete question is given
" Find the value of sin Q rounded to the nearest hundredth, if necessary.
Q= √95
P= 7 "--
When the explanatory variable is categorical and the response variable is quantitative, what type of plot would be appropriate?
When the explanatory variable is categorical and the response variable is quantitative, a box plot or a bar plot would be appropriate to display the relationship between the two variables.
When the explanatory variable is categorical and the response variable is quantitative, a box plot or a bar plot would be appropriate.
A box plot (also known as a box-and-whisker plot) displays the distribution of the response variable within each category of the explanatory variable. It shows the median, quartiles, and outliers of the data, making it useful for visualizing differences in central tendency and spread between categories.
A bar plot (also known as a bar chart) displays the mean, median, or sum of the response variable for each category of the explanatory variable. It is useful for comparing the values of the response variable between categories.
Both box plots and bar plots are effective in displaying the relationship between a categorical variable and a quantitative variable. The choice between the two would depend on the specific research question, the nature of the data, and the intended audience.
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These plots help visualize the distribution of the quantitative response variable across different categories in the explanatory variable.
When the explanatory variable is categorical and the response variable is quantitative, a bar chart or a box plot would be appropriate. A bar chart displays the mean or median of each category, while a box plot displays the distribution of each category including the median, quartiles, and outliers. These plots help to visualize the relationship between the categorical and quantitative variables and identify any patterns or differences between categories.
When the explanatory variable is categorical and the response variable is quantitative, an appropriate type of plot to use would be a box plot or a violin plot. These plots help visualize the distribution of the quantitative response variable across different categories in the explanatory variable.
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How to do this cuz I’m a little slow
helpp will give brainlest ASAPPPPPP
Answer:
1) She needs (35 × 2) + 8 = 78 inches
4 rows. She decides to plant 1 2 of a row of each type of pepper. How many different types of peppers is she going to
3-10 A gable roof with a slope of 9 inches per foot has a rake slope of 1.25. If the run is 10 feet and the eaves length is 30 feet. What is the roof area in square foot?A. 300.B. 450.C. 700.D. 800.
The roof area is 468.75 square feet.
To find the roof area, we need to follow these steps:
Determine the rise (vertical distance) using the slope of 9 inches per foot:
Since the run is 10 feet, the rise is 9 inches/foot × 10 feet = 90 inches.
Convert the rise to feet: 90 inches ÷ 12 inches/foot = 7.5 feet.
Calculate the length of the rafter using the Pythagorean theorem:
Rafter length = √(run² + rise²) = √(10² + 7.5²) = √(100 + 56.25) = √156.25 = 12.5 feet.
Determine the total length of the gable roof:
Since the rake slope is 1.25, we have Total length = Rafter length × Rake slope = 12.5 feet × 1.25 = 15.625 feet.
Calculate the roof area:
Roof area = Eaves length × Total length = 30 feet × 15.625 feet = 468.75 square feet.
None of the given options matches the calculated roof area.
It is possible there is a mistake in the question or the provided options.
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please i need your help for today please i would really appreciate it
Answer:80
Step-by-step explanation:
2.) Let's consider a Stackelberg version of monopolistic competition. Suppose market demand is given by P = 30 – Q and there are ""n"" firms in the market with the first firm denoted as the leader
The specific numerical solution will depend on the number of firms in the market and their behavior.
In a Stackelberg version of monopolistic competition, there is a leader firm that sets its output first, and all the other firms in the market act as followers and choose their outputs simultaneously.
Suppose there are "n" firms in the market, with the first firm denoted as the leader. Let's assume that each firm has a constant marginal cost of $10 per unit. Then, the leader firm's profit-maximizing output level can be found by solving the following problem:
max (30-Q1-Q2-...-Qn)Q1 - 10Q1
subject to Q1 >= 0
where Q1 is the output level of the leader firm, and Q2, Q3, ..., Qn are the output levels of the follower firms.
Taking the first-order condition by differentiating with respect to Q1 and setting it equal to zero, we get:
d/dQ1 [(30-Q1-Q2-...-Qn)Q1 - 10Q1] = 0
Simplifying this expression, we get:
30 - Q1 - Q2 - ... - Qn - 2Q1 = 0
Solving for Q1, we get:
Q1 = (30 - Q2 - ... - Qn)/3
This equation gives us the leader firm's profit-maximizing output level as a function of the follower firms' output levels.
Now, let's consider the follower firms' profit-maximizing output levels. Since each follower firm is a price-taker, its profit-maximizing output level can be found by equating marginal cost to market price, which is equal to the market demand curve divided by the total quantity produced by all firms in the market. Therefore, the profit-maximizing output level of the jth follower firm can be expressed as:
Qj* = (1/n) * (30 - Q1 - Q2 - ... - Qj-1 - Qj+1 - ... - Qn - 10)
where Qj* is the follower firm's profit-maximizing output level, and j = 2, 3, ..., n.
Using these expressions for the leader and follower firms' profit-maximizing output levels, we can solve for the equilibrium outputs and profits in the Stackelberg version of monopolistic competition. However, the specific numerical solution will depend on the number of firms in the market and their behavior.
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P=70q, p=-q^2+12000
Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given
The required equilibrium quantity is 80 units and equilibrium price is 5600 in monetary units for the supply function p = 70q and the demand function p= -q^2+12000.
The supply function of a commodity is given as, p= 70q
The demand function of the commodity is given as, p= -q^2+12000
We know at equilibrium condition of market,
Supply of a commodity is equal to its demand in the market.
Therefore,
70q = p = -q^2+12000
⇒ 70q = -q^2+12000
⇒ q^2+ 70q -12000 = 0
⇒ q^2+ 150q - 80q -12000 = 0
⇒ q( q + 150) - 80( q + 150) = 0
⇒ (q -80) ( q + 150) = 0
⇒q = 80 ad q = -150
We ignore the negative value of q, that is - 150 , as quantity of a commodity can not in negative.
Therefore, the equilibrium quantity of the commodity is 80 units.
Thus, p = 70(80) = 5600 (in monetary units)
Therefore, equilibrium price of the commodity is 5600 (in monetary units).
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A teacher purchased a fish tank for her classroom. The dimensions of the tank are 34 inches by 58 inches by 42 inches. What is the maximum amount of water that the tank can hold? a. 82,824 in3 c. 41,412 in3 c. 2,436 in3 d. 1,972 in3
The maximum amount of water that the tank can hold is 82,824 cubic inches, which corresponds to option (a) in the given answer choices.
To find the maximum amount of water that the tank can hold, we need to find the volume of the tank. The volume of a rectangular prism (which is what a fish tank is) can be found by multiplying the length, width, and height of the prism.
Volume = length x width x height
Plugging in the given dimensions of the fish tank, we get:
Volume = 34 in x 58 in x 42 in
Volume = 82,824 in^3
Therefore, Correct option is A.
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given the following situation, determine if the data is rank data. a publix manager wants to measure the difference in the total value sales on a saturday vs. a monday. he randomly selects sales data from 20 saturdays and 20 mondays from the previous year and he analyzes his data. is this rank data? group of answer choices not rank data rank data
bruce has a pet worm that fell into a well. the well is 26 feet deep. each day, the worm climbs up 8 feet, but each night, it slides back down 2 feet. how many days will it take for bruce’s worm to get to the top of the well
In a social group, 62 members enjoy dancing and 28 members enjoy hiking. If each of the 75 members in the group enjoys dancing or hiking, how many members enjoy both dancing and hiking?
Answer: 162
Step-by-step explanation:
so you will have to do 62+28+75=162
15 member enjoy both dancing and hiking.
What is Conditional Probability?The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability. Conditional probability examines the likelihood that one event will occur given the likelihood that a related event will occur beforehand.
We have,
Member enjoy dancing, n(D) = 62
Member enjoy hiking, n(H) = 28
Member enjoy dancing or hiking, n(D ∪ H) = 62
Using Conditional probability
n (D ∪ H) = n(D) + n(H) - n (D ∩ H)
75 = 62 + 28 - n (D ∩ H)
75 - 90 = - n (D ∩ H)
n (D ∩ H) = 15
Thus, 15 member enjoy both dancing and hiking.
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Samuel is folding his laundry. The table shows the proportional relationship between the number of shirts he folds and the time, in minutes, it takes him to fold them.
Number of Shirts 2 4 ?
Time (minutes) 0.4 0.8 3
How many shirts can Samuel fold in 3 minutes?
21 shirts
15 shirts
8 shirts
6 shirts
I’d say 30 shirts.
Step-by-step explanation:
30 seconds = 3 shirts 1 minute 30 seconds = 9 shirts 30 seconds per each 3 shirts.
shirts: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30minutes: .5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5
Answer:
15 (B).
Step-by-step explanation:
I took the test.
Find the volume of a cylinder with a diameter of 28 meters and a height of 7 and one half meters. Approximate using pi equals 22 over 7.
210 cubic meters
1,575 cubic meters
4,620 cubic meters
The formula for the volume (V) of a cylinder is given by:
V = πr^2h
where r is the radius of the cylinder and h is its height.
We are given the diameter of the cylinder as 28 meters, so the radius (r) is half of that, or 14 meters.
Using the given height of 7 and one half meters, we can now calculate the volume of the cylinder as follows:
V = πr^2h = (22/7) * (14)^2 * (7.5) = 4,620 cubic meters (rounded to the nearest whole number)
Therefore, the approximate volume of the cylinder is 4,620 cubic meters.
please please please please please please please please please please help me out
You would want to find the slope of the line (for this, look at the coordinate pairs and the y intercept). The slope equation is y2-y1/x2-x1. Once you find this out, rewrite in y = mx + b
Plug in 6 for x, then solve for y.
(ASAP!) Graph the image of the figure on the right under the given translation.
The translation is as shown in the figure in option B
What is translation transformation?Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.
The transformation required ahs the rule defined as
3 units to the right and 4 unit upApplying the rule arrives the image in option B
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Visual work of 44. 4 divided by 100 with decimal moves
By division rule of fraction, dividing 44.4 by 100 results to 0.444, that is shifts three decimal places (to right).
We can divide 44.4 by 100 using simple rule of division.
Rewriting 44.4 in fractional form we get,
44.4 = 444/10
Dividing 444/10 by 100 we can write it in fractional form as 444/10*100.
Therefore, 44.4 divided by 100 in fractional form can be written as 444/1000.
Applying division rule of fractions,
Dividend is 444 and divisor is 1000.
Since the denominator of the fraction has three zeros (in divisor 1000) by properties of fraction the decimal place of the numerator shifts three places to its right.
Also something divided by one is the same value as its initial value.
Thus as 444 shifts to three decimal places (on its right) it becomes 0.444 as the denominator is 1*1000.
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which graph shows the solution to the system of linear equations?
y = 1/3x
x + 3y = 6
Answer:
The top right graph shows the solution to this system of linear equations.