Answers
With the help of the given trendline equation, the length of the flight will be 3,613.34 miles.
What are equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.So, the length of the flight will be:
The trendline equation is: T = 458 + 0.15DT is the cost which is given as $1000 and D is the distance.Now, calculate for D as follows:
T = 458 + 0.15D1000 = 458 + 0.15D1000 - 458 = 0.15D0.15D = 542D = 542/0.15D = 3,613.33We can write as D = 3,613.34
Therefore, with the help of the given trendline equation, the length of the flight will be 3,613.34 miles.
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Related Questions
Alvin's bill for dinner at a restaurant was $96. He left a 20% tip. What was the amount of
the tip?
Answers
Answer:$ 17.28
Step-by-step explanation:
When you are finding percent just go two decimals to the right
Exp: 13%=.13
Which variable is most important to the following problem?
A company has 95,000 shares of stock to sell. A stockbroker decides to buy equal shares of the stock for each of her 250 clients. If the company has 75,000 shares of stock remaining after she makes her purchase, how many shares did each client receive?
Answers
The number of shares remaining after the stockbroker buys shares for her customers is 57500
Also, The number of the most important pretty definitely really variable for finding the number of shares the company particularly definitely for all intents and purposes has left in a generally really big way in a fairly big way. Also, The number of shares the company generally really definitely has left after stockbroker's purchase = 95000 - 150×250 = 5750 in a subtle way.
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76.43 divide 3.4
Please Answer
Answers
Answer:
22.479411764705882352941176470588
Step-by-step explanation:
76.43/3.4
=22.479411764705882352941176470588
A triangle has interior angles of 50°, 55°, and 75° with side lengths of 3.1 m, 3.2 m, and 4.0 m. A second
triangle has side lengths of 10.3 m, 10.5 m, and 12.0 m. What must the interior angles of the second triangle
be for the two shapes to be similar?
Answers
The interior angles of the second triangle will be 50°, 55°, and 75° respectively.
What are similar triangles?
If the corresponding angles and sides of two triangles are congruent, then the two triangles are said to be similar.
In other words, similar triangles have the same shape but may differ in size.
Given, a triangle has interior angles of 50°, 55°, and 75° with side lengths of 3.1 m, 3.2 m, and 4.0 m.
And, a second triangle has side lengths of 10.3 m, 10.5 m, and 12.0 m.
The corresponding sides of both triangles are 3.1 m, 3.2 m, and 4.0 m with 10.3 m, 10.5 m, and 12.0 m respectively.
Then, the angles of both triangles are also corresponding to each other.
So we get, the interior angles of the second triangle will be 50°, 55°, and 75° respectively.
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Select all the equations that are equivalent to this equation. 14 (8x + 56) = 20 56 + 8x = 80 14 = 20 – 8x 2x + 14 = 5 2x = 6 x = 3
Answers
The equation that are equivalent to the equation 1/4 (8x + 56) = 20 are 56 + 8x = 80 and 2x = 6
The equation is
1/4 (8x + 56) = 20
Solve the equation
8x + 56 = 80
8x = 80 - 56
8x = 24
x = 24/8
x = 3
The first equation is
56 + 8x = 80
8x = 80 - 56
8x = 24
x = 24/8
x = 3
The second equation is
14 = 20 - 8x
8x = 20 - 14
8x = 6
x = 6/8
x = 3/4
The third equation is
2x + 14 = 5
2x = 5 - 14
2x = -9
x = -9/2
The fourth equation is
2x = 6
x = 6/2
x = 3
Hence, the equation that are equivalent to the equation 1/4 (8x + 56) = 20 are 56 + 8x = 80 and 2x = 6
The complete question is:
Which equations are equal to this equation? Select all that apply.
1/4 (8x + 56) = 20
a. 56 + 8x = 80
b. 14 = 20 - 8x
c. 2x + 14 = 5
d. 2x = 6
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∠A=5x−12 ∘ start color #11accd, angle, A, equals, 5, x, minus, 12, degrees, end color #11accd \qquad \green{\angle B=2x + 24^\circ}∠B=2x+24 ∘
Answers
The solution to the variable x is 12 and the measure of ∠B is 48°.
How to solve congruent angles?∠A = 5x−12°
∠B = 2x+24°
Angle A and Angle B are congruent angles.
Congruent angles are angles with the same or equal measures.
So,
∠A = ∠B
5x - 12 = 2x + 24
collect like terms5x - 2x = 24 + 12
3x = 36
divide both sides by 3
x = 36/3
x = 12
So therefore,
∠A = 5x−12°
= 5(12) - 12
= 60 - 12
= 48°
∠B = 2x+24°
= 2(12) + 24
= 24 + 24
= 48°
Therefore, since ∠A and ∠B are congruent, the measure of ∠A and ∠B is 48° respectively.
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write another subtraction problem involving two negatie number that has a positive difference. then write another subtraction problem involving two negative numbers that has a negative difference.
Answers
Answer:
Two negatives, positive answer:
-3 - (-4) = 1
Two negatives, negative answer:
-45 - (-1) = -44
Which pairs of triangles are similar? check all that apply. â–³abc ~ â–³def â–³def ~ â–³ghi â–³ghi ~ â–³abc â–³ghi ~ â–³jkl â–³jkl ~ â–³abc
Answers
The similar pairs of triangles are given as follows:
DEF and HGI.JKL and ABC:What are similar triangles?Similar triangles are two triangles that have the same angle measures.
For these triangles, considering the relations between angles such as sine/cosine/tangent, or the law of sines, the side lengths have to be proportional.
Considering the need for proportional side lengths, the similar triangles in this problem are given as follows:
DEG and HGI: as the proportion between the side lengths of each triangle is of 1.5.JKL and ABC: as the proportion between the side lengths of each triangle is of 0.5.The other triangles are not similar as there are no proportional relationships that can be established from the side lengths of these triangles.
Missing InformationThe problem is given by the image at the end of the answer.
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8.How do you know whether the graph of g(x) = a |x| is a vertical stretch or a vertical
shrink of the graph of f(x) = b |x|?
Answers
Answer
it’s because of the amplitude the value in the front controls the height
Step-by-step explanation:
A.
A class trip consists of 84 students and 6 teachers.
What is the student to teacher ratio?
Answers
Lines AB and CD are straight lines. Find x and y .
Answers
⇒ ∠AOC+∠AOE+∠EOD=180°(angles on a straight line are supplementary)
16°+90°+2y=180°
[tex]106+2y=180\\2y=180-106\\2y=74\\\frac{2y}{2} =\frac{74}{2} \\y=37[/tex]
∴y=37°
∠AOC+∠COF∠BOF=180°(angles on a straight line are supplementary)
16°+90°+4x=180
[tex]106+4x=180\\4x=180-106\\4x=74\\\frac{4x}{4} =\frac{74}{4} \\x=18.5[/tex]
∴x=18.5°
Can anyone please help me with this question
Answers
The length of AD in the parallelogram is 143 cm.
How to find the side of a parallelogram?A parallelogram is a quadrilateral with opposite sides parallel to each other. The opposite angles of a parallelogram are equal. Two adjacent or consecutive angles of a parallelogram are supplementary.
Hence,
2x + 72 + 2x - 20 = 180
4x + 52 = 180
4x = 180 - 52
4x = 128
divide both sides by 4
4x / 4 = 128 / 4
x = 32
Therefore,
∠A = 2(32) + 72 = 64 + 72 = 136 degrees
z = 136°
Therefore,
AC = BC = BD = AD
AC = z + 7
AC = 136 + 7
AC = 143 cm
Hence,
AD = 143 cm
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Which relation is a function?
Answers
The relation that is a function in the option is graph C.
What is a function?A function relates an input to an output.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
In a simpler term, a function relates each element of a set with exactly one element of another set (possibly the same set).
In a function, the x value is exactly related to a single y value, exactly, means that a function is single valued. It will not give back 2 or more results for the same input.
Therefore, the only graph that follows the rule of a function is graph C.
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an experimenter would like to construct a 99% confidence interval with a width at most 0.5 for the average resistance of a segment of copper cable of a certain length. if the experimenter knows that the standard deviation of such resistances is 1.55. how big a sample should the experimenter take from the population? what happens if the standard deviation and the width of the confidence interval are both doubled?
Answers
64 is the standard deviation and the width of the confidence interval are both doubled .
What is standard deviation in math?
Your dataset's average level of variability is represented by the standard deviation. It reveals, on average, how far away from the mean each value is. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Margin of error(E)=0.5
Standard deviation(σ)=1.55
Significance level(α)=100%-99%=1% or 0.01
From Z distribution Critical value table
the Critical value(Zc)=2.58 at significance level=0.01
we know formula for the Margin of error
E = Zc * σ/√n
0.5 = 2.58 * 1.55/√n
√n = 2.58 * 1.55/0.5
√n = 3.999/0.5
√n = 7.998
n = ( 7.998)²
n = 63.968004
Aproximately
n = 64
the realtionship between the sample size and margin of error is inversly proportional.
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discuss three strengths of the linear regression. identify a peer-reviewed study that uses linear regression in its analysis. explain why linear regression was used and discuss one challenge in interpreting the results. include the permalink with your citation.
Answers
Linear Regression analysis has three key applications:
(1) evaluating predictor strength, (2) anticipating an effect, and as well (3) trend forecasting.
Define the term linear regression?Linear regression is a fundamental and widely used method of predictive analysis. The overall goal of regression is to investigate two things:
How well does a set of predictor factors predict an outcome (dependent) variable? Which variables, in particular, are significantly predictive of both the outcome variable, and how do they influence it?Regression analysis has three key applications:
evaluating predictor strength,anticipating an effect, trend forecasting.The formula y = c + b*x defines the simplest form of the regression equation with one dependent so one independent variable,
where,
y = approximately dependent variable score, c = constant, b = regression coefficient, and x = independent variable score.To know more about the linear regression, here
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What is 3/4-3/10for IXL “L.12
Answers
The difference of the given fractions is 9/20.
The given fractions are 3/4 and 3/10.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
The difference of the given fractions is
3/4 - 3/10
= 15/20 - 6/20
= 9/20
Therefore, the difference of the given fractions is 9/20.
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Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 28.45°. What is the measure of ∠P?
28.45°
75.775°
121.55°
151.55°
Answers
Step-by-step explanation:
the sum of all angles in a triangle is ALWAYS 180°.
and by using the word "congruent" : for angles that only means they are equally large.
we know the third angle.
so,
180 = P + Q + R = 2×P + 28.45
(because P = Q)
2×P = 151.55
P = Q = 151.55 / 2 = 75.775°
Mia’s family drinks a total of 10 gallons of milk every 6 weeks. How many gallons of milk do they drink per week
Answers
A radar tends to overestimate the distance of an aircraft, and the error is a normal random variable with a mean of 50 meters and a standard deviation 100 meters. What is the probability that the measured distance will be smaller than the true distance?.
Answers
The likelihood that the measured distance will be shorter than the actual distance is equal to 0.3085.
In this case, the chance that the measured distance will be less than the true distance will be determined using the z-score formula. The z score is a normal score that adheres to a normal distribution with a mean and standard deviation of 0 and 1, respectively.
Given that,
Mean, μ = 50
Standard deviation, σ = 100
Less than 0% of the time, the overestimation is likely.
Consequently, the necessary probability is P (X ≤ 0)
Now,
P (X ≤ 0) = P [(X − μ) / σ ≤ (0 − μ) / σ]
P (X ≤ 0) = P [Z ≤ (0 − 50) / 100]
P (X ≤ 0) = P [Z ≤ − 0.5]
Excel formula for the probability mentioned above:
=NORMDIST(-0.5,0,1,1)
P (X ≤ 0) = 0.3085
0.3085 is the likelihood that the measured distance will be shorter than the actual distance.
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Write an absolute value equation representing all numbers x whose distance from 5 is 5 units
Answers
The absolute value equation representing all numbers x whose distance from 5 is equal to 5 units is written as:
|x - 5| = 5
How to write the absolute value equation?An absolute value equation where the variable is x can be written as:
|x - a| = b
This means that the distance between x and a is equal to b.
So if we want to write an equation where the distance between x and 5 is equal to 5, then we can replace:
a = 5
b = 5
And the absolute value equation will be:
|x - 5| = 5
This is what we wanted to get.
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Find the measures of each numbered angle:
Answers
m1 = 31
m2 = 121
m3 = 47
Hudson goes to a store an buys an item that costs x dollars. He has a coupon for 20%
off, and then a 5% tax is added to the discounted price. Write an expression in terms
of a that represents the total amount that Hudson paid at the register.
Answers
If Hudson having a discount coupon of 20% off, wants to buy an item having a printed price of "x" dollars, and a 5% tax is added to the discounted price in the end, then the expression that can represent the final amount Hudson paid for the item will be [(4x/5) + (x/25)].
As per the question statement, Hudson goes to a store an buy an item that costs "x" dollars, with the intention of using his 20% flat discount coupon, and then, a 5% tax is added to the final discounted price.
We are required to determine an expression that can represent the final amount Hudson paid for the item as per the above case.
Since Hudson gets a discount of 20% over the cost price of his desired item, the discounted cost price of the item becomes, [x - {(20/100) * x}]
= [x - {(1/5) * x}]
= [x - (x/5)]
= (4x/5).
And then, a 5% tax is added to the final discounted price, which takes the final amount to [(4x/5) + {(5/100) * (4x/5)]
= [(4x/5) + {(1/20) * (4x/5)]
= [(4x/5) + (x/25)]
= (21x/25)
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degree and real roots of (x-3)(x+1)(x-1)=0
Answers
Step-by-step explanation:
at first multiply the factors
[tex] ({x}^{2 } + x \: - 3x \: - 3)(x - 1) = 0[/tex]
[tex] {x}^{3} - {x}^{2} - 3 {x}^{2} - \: 3x - {x}^{2} - x \: + 3x + 3 = 0[/tex]
[tex] {x}^{3} - 5 {x}^{2} - x + 3 = 0[/tex]
Here we see the highest power is 3 so the degree of the equation is 3
As for the real roots, the factors each as in (x-1), (x-3) & (x+1) can be considered zero each to find the real roots because for the value of x to be zero any of the multiplied factors must be zero.
either, x-1=0
=> x = 1
or, x+1=0
=> x = -1
or, x-3=0
=> x = 3
real roots of x are: 1, -1 and 3
EASY POINTS WILL GIVE BRAINLIST TO BEST ASWER!!
write the point slope form of the equation of the line through the given point with the given slope
(-2, -3) slope = 2
Answers
Answer:
y+3=2x+4
Step-by-step explanation:
Explain c-a, when c = 7 and a=6
Answers
Answer:
1
Step-by-step explanation:
7-6=1
Answer:
c-a
replace x with 7 and a with 6
rewrite: 7-6
7-6 = 1
Answer: 1
PLEASE HELP!
629 students at a school each pay £6 to go on a school trip. How much money do they pay in total?
Show all your working.
Answers
Answer:
£3,774
Step-by-step explanation:
629 students at a school each pay £6 to go on a school trip. How much money do they pay in total?
629 * £6 = £3,774
Answer:
no of students= 629
amount paid each =£6
amount paid by all the students =no of students × amount paid each
:: 629
× 6
£3774
Waukee railroad is considering the purchase of a powerful, high-speed wheel grinder to replace a standard wheel grinder now in use. selected information on the two machines follows: standard wheel grinder high-speed wheel grinder original cost/new cost $ 45,000 $ 67,500 accumulated depreciation to date $ 18,000 $ 0 current salvage value $ 11,750 $ 0 estimated cost per year to operate $ 26,250 $ 16,250 remaining years of useful life 5 years 5 years required: compute the net advantage or disadvantage of purchasing the high-speed wheel grinder covering the five-year period. use only relevant costs in your analysis. ignore tax effects.
Answers
The net disadvantage of purchasing the high-speed wheel grinder is $ 5,750
What is net advantage or disadvantage?
Net advantage or disadvantage is the total of potentially monetary savings from action of a business choosing to purchasing or lease an asset.
First, we calculate the net advantage in year 0
= current salvage value of standard - Original cost of high-speed
= $ 11,750 - $ 67,500
= - $ 55,750
Next we calculate the net advantage in year 5
= net advantage in year 0 + cost saving in 5 years
= - $ 55,750 + ($ 26,750 - $ 11,750) * 5
= - $ 55,750 + $ 50,000
= - $ 5,750
Thus, the net disadvantage of purchasing the high-speed wheel grinder is $ 5,750
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Complete the equation so that it has no solution.
-15x + 4x + 2-x=__x+3
Answers
Equation -15x + 4x + 2-x= -12x+3 has no solution.
Define equation.A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities. The x + 4 = 12 equation states that the left and right sides of the equation are equal. A assertion that "this equals that" is what constitutes an equation.
Given,
Equation:
-15x + 4x + 2 - x = _x +3
For no solution, value of x on both sides should be equal,
So,
-15x + 4x - x
-12x
Value of x will be -12.
Equation -15x + 4x + 2-x= -12x+3 has no solution.
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What is 1/2sq miles - 1/3 sq miles
Answers
Answer: 431 664.685 m2
Step-by-step explanation:
Tyler uses 7.5 ounces of barbecue sauce from a full bottle.
He estimates that he used about 25% of the barbecue sauce in the bottle. About how much barbecue sauce was in the full bottle?
There was about
30
ounces of barbecue sauce in the full bottle.
b. Tyler uses 20% of the remaining barbecue sauce.
About how many ounces did he use the second time?
Tyler poured about
4.5
ounces the second time.
Answers
Barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.
Given:
Tyler uses 7.5 ounces of barbecue sauce from a full bottle ,he estimates that he used about 25% of the barbecue sauce in the bottle.
25% = 7.5
multiply by 4 on both sides
25%*4 = 7.5 * 4
100% = 75/10 * 4
= 300/10
Full bottle = 30 ounces.
b.
Tyler uses 20% of the remaining barbecue sauce.
Remaining sauce = 30 - 7.5
= 22.5
= 22.5*20/100
= 2.25*20/10
= 2.25*2
second time= 4.50 ounces
Therefore barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.
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