Using this model, what would be the cost of a flight that travels 1375 miles?
Round your answer to the nearest dollar.
Answers
Answer:
C) $143.
Step-by-step explanation:
We are given an equation: y = 0.0714x + 44.8.
x is the number of miles, and y is the cost.
y = 0.0714 * 1,375 + 44.8
y = 98.175 + 44.8
y = 142.975
So, the cost is about C) $143.
Hope this helps!
Related Questions
Which of the following is the solution to the equation 25^(z + 2) = 125? (6 points) Answer choices are 1) z = 5.5 2) z = 3.5 3) z = −2.5 4) z = −0.5
Answers
Step-by-step explanation:
a. z = 5.5
25 ^( 5.5 - 4 ) = 125
25 ^ (1.5) = 125
125 = 125
z = 5.5
PlZzzzz follow me
prove identity trigonometric equation
[tex]2 \tan(x) = \frac{ \cos(x) }{ \csc(x - 1) } + \frac{ \cos(x) }{ \csc(x + 1) } [/tex]
Answers
Explanation:
The given equation is False, so cannot be proven to be true.
__
Perhaps you want to prove ...
[tex]2\tan{x}=\dfrac{\cos{x}}{\csc{(x)}-1}+\dfrac{\cos{x}}{\csc{(x)}+1}[/tex]
This is one way to show it:
[tex]2\tan{x}=\cos{(x)}\dfrac{(\csc{(x)}+1)+(\csc{(x)}-1)}{(\csc{(x)}-1)(\csc{(x)}+1)}\\\\=\cos{(x)}\dfrac{2\csc{(x)}}{\csc{(x)}^2-1}=2\cos{(x)}\dfrac{\csc{x}}{\cot{(x)}^2}=2\dfrac{\cos{(x)}\sin{(x)}^2}{\cos{(x)}^2\sin{(x)}}\\\\=2\dfrac{\sin{x}}{\cos{x}}\\\\2\tan{x}=2\tan{x}\qquad\text{QED}[/tex]
__
We have used the identities ...
csc = 1/sin
cot = cos/sin
csc^2 -1 = cot^2
tan = sin/cos
Which of the binomials below is a factor of this trinomial?
5x2-18x+9
O A. 5x-3
O B. X-1
O c. X+1
O D. 5x+3
Answers
Answer:
The answer is option A.
Step-by-step explanation:
here, 5x^2-18x+9
=5x^2-(15+3)x+9
=5x^2-15x-3x+9
=5x(x-3)-3(x-3)
=(5x-3)(x-3)
so, the answer from the above options is (5x-3).
hope it helps..
Brenda is going from $(-4,5)$ to $(5,-4)$, but she needs to stop by the origin on the way. How far does she have to travel?
Answers
Answer:
[tex]\boxed{D = 6.4 units}[/tex]
Step-by-step explanation:
She stops by (0,0)
She further needs to travel to (5,-4)
Let's calculate the distance using the Distance Formula:
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(5-0)^2+(-4-0)^2}[/tex]
D = [tex]\sqrt{(5)^2+(-4)^2}[/tex]
D = [tex]\sqrt{25+16}[/tex]
D = [tex]\sqrt{41}[/tex]
D = 6.4 units
She needs to travel 6.4 units more.
Answer:
2sqrt41
Step-by-step explanation:
Origin=(0,0)
Brenda wants to go from (-4,5) to (0,0) and then to (5,-4). So we need to calculate the distance from (-4,5) to (0,0), and the distance of (0,0) to (5,-4).
The distance formula is sqrt (x2-xs1)^2+(y2-y1`)^2.
So: sqrt (5-0)^2+(-4-0)^2
sqrt (5^2+-4^2)
sqrt 25+16
sqrt 41
Now we need to figure out the distance from (0,0) to (5,-4)
sqrt(0-5)^2+(0-(-4))^2
sqrt(-5^2+4^2)
sqrt 25+16
sqrt 41
sqrt 41+sqrt 41
2sqrt41
helpp me please will give brralinst
Answers
Answer:
0
Step-by-step explanation:
the answer is 0
Have a great day
2
A student winds a strip of paper eight times
round a cylindrical pencil of diameter 7 mm.
Use the value 22/7 for pie to find the length of
the paper.
Answers
Answer:
176 mm
Step-by-step explanation:
The circumference of a circle is the perimeter of a circle (length of a circle). The circumference of a circle is given as:
Circumference (C) = 2πr = πd, where d is the diameter
The circumference of a circle with diameter 7 mm is:
C = πd = 22/7(7) = 22 mm
The length of the paper to round the cylindrical pencil is the same as the perimeter of the pencil which is 22 mm.
To round the pencil 8 times, the length of the paper needed = 8 × 22 mm = 176 mm
Question 2 of 6
2 Points
The word problem below has too much information. Which facts are not
needed to solve the problem? Check all that apply.
On Tuesday, the wait to ride the roller coaster was 40 minutes. The roller
coaster is the fastest ride at the fair. The line of people waiting was 100
meters long. How long would you expect to wait if the line was 50 meters
long?
A. The wait to ride the roller coaster was 40 minutes.
B. The line of people was 100 meters long.
C. The roller coaster is the fastest ride at the fair.
D. It was Tuesday.
R
SUBMIT
fPREVIOUS
Answers
Answer:
C. and D.
Step-by-step explanation:
In the word problem, the two facts to solve the problem are:
A. The wait to ride the roller coaster was 40 minutes and
B. The line of people was 100 meters long
Because the length of waiters has an effect on the time. Thus, if the line is reduced to 50 meters, then the waiting time would reduce i.e 20 minutes.
Therefore, the facts that are not required to solve the word problem are:
C. The roller coaster is the fastest ride at the fair.
D. It was Tuesday.
Determine whether the following problem involves a permutation or a combination and explain your answer. How many different -letter passwords can be formed from the letters , , , , , , and if no repetition of letters is allowed? Choose the correct answer below. A. The problem involves a permutation because the order in which the letters are selected does matter. B. The problem involves a combination because the order in which the letters are selected does not matter. C. The problem involves a combination because the order in which the letters are selected does matter. D. The problem involves a permutation because the order in which the letters are selected does not matter.
Answers
Answer:
B. The problem involves a combination because the order in which the letters are selected does not matter.
Step-by-step explanation:
Computation technique is a method of statistics to find possible ways of combination. In computation technique it is assumed that order does not matter and letters will be selected at random. Permutation is a statistics technique to find possible ways of combination when the order does matter. Permutation technique cannot be used when order does not matter.
2 (3z-4) <16 Which one of the following values of z is a solution for the inequality
Answers
Answer:
z < 4
Step-by-step explanation:
2(3z-4) < 16
Divide by 2 on both sides
3z-4 < 8
Add 4 to both sides
3z < 12
Divide by 3 on both sides
z < 4
URGENT!! A product of the rational expression?
Answers
Explanation:
(3/x+2)(7/2x)
= 21/(x+2)(2x)
= 21/2x^2 + 4x
A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total possible outcomes are there when choosing a marble from the bag?
Answers
Answer:
its 14/C
Step-by-step explanation:
i got i right on edg U^U
Answer:
16
Step-by-step explanation:
i did edge test yea dont be imma fake :***
helpppppppppppppppppppppp i will give star thanks bralienst
Answers
Answer:
90/x=70/100 that's my answer
[tex]90 \x = 70 \100[/tex]
Answer:
90/x = 70/100
Step-by-step explanation:
Is means equals and of means multiply
90 = 70% *x
Changing to decimal form
90 = .70x
Changing to fraction form
90 = 70/100 *x
Divide each side by x
90/x = 70/100
What is the solution of log3(3x+2)= log3 (4x-6)?
Answers
Answer:
x=8 i got it right on my homework on khan academy
Step-by-step explanation:
Answer: Using logarithms to solve you will get x = 8
A rectangular parking lot has a perimeter of 384 meters. The length of the parking lot is 36 meters less than the width. Find the length and the width
Answers
Answer: 78
Step-by-step explanation:
Write the equation of the graph shown below in the factored form f(x) = (x + 2) (x - 1) (x - 3) f(x) = (x - 2) (x + 1) (x + 3) f(x) = (x + 2) (x + 1) (x + 3) f(x) = (x - 2) (x - 1) (x - 3)
Answers
Answer:
[tex]f(x)=(x-1)\,(x-3)\.(x+2)[/tex]
which agrees with the first answer shown in the list of possible options.
Step-by-step explanation:
Notice that there are three roots for this polynomial clearly shown on the graph's crossings of the x axis: x = 1, x = 3, and x = -2.
Therefore, based on such, we can write three binomial factors of the form [tex](x-root)[/tex] for the polynomial:
[tex]f(x)=(x-1)\,(x-3)\.(x-(-2))=(x-1)\,(x-3)\.(x+2)[/tex]
A dress regularly sells for $137. The sale price is $102.75. Find the discount & the percent of the discount
Answers
Answer:
Discount : $34.25 off. Percent of the discount : 25%
Step-by-step explanation:
137 - 102.75 = 34.25.
34.25/137 x 100 = 25%
Assume that y varies directly with
x, then solve.
If y=6 when x=2/3 find x when y=12.
Х=? (It’s a fraction)
Answers
Answer:
x = 4/3
Step-by-step explanation:
Direct variation:
y = kx
We use the given x-y point to find k.
6 = k * 2/3
k = 6 * 3/2
k = 9
The equation is
y = 9x
For y = 12,
12 = 9x
x = 12/9
x = 4/3
Find the mean and standard deviation for each binomial random variable:
Answers
Answer: a) Mean = [tex]=37.80[/tex]
Standard deviation=[tex]=1.9442[/tex]
b) Mean = [tex]56.00[/tex]
Standard deviation=[tex]4.0988[/tex]
c) Mean = [tex]=24[/tex]
Standard deviation=[tex]2.4495[/tex]
Step-by-step explanation:
To compute Mean and standard deviation , we use following formula:
Mean = [tex]n\pi[/tex]
Standard deviation=[tex]\sqrt{n\pi(1-\pi)}[/tex]
a. [tex]n=42,\ \pi=0.90[/tex]
Mean = [tex]42\times0.90=37.80[/tex]
Standard deviation=[tex]\sqrt{42(0.90)(0.10)}=\sqrt{3.78}\approx1.9442[/tex]
b. [tex]n=80,\ \pi=0.70[/tex]
Mean = [tex]80\times0.70=56.00[/tex]
Standard deviation=[tex]\sqrt{80(0.70)(0.30)}=\sqrt{16.8}\approx4.0988[/tex]
c. [tex]n=32,\ \pi=0.75[/tex]
Mean = [tex]32\times0.75=24[/tex]
Standard deviation=[tex]\sqrt{32(0.75)(0.25)}=\sqrt{6}\approx2.4495[/tex]
The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 yd, find its area.
Answers
Answer:
Area of rectangle is 100 square inches.
Step-by-step explanation:
Area of rectangle = length * width
a=l*w
a=4w*w
a=4w^2............(1)
Put the value of w in (1)
a=4(5)^2
a=4(25)
a=100in^2
Answer:
100 yards
Step-by-step explanation:
the length is 4 times the width of the rectangle, so I used guess and check and figured 20 is four times greater than 5 and plugged those two numbers in and it worked.
Consider the line y=2x-7 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?
Answers
Answer:
The slope of the given line is 2
Answer -1/2 is the line perpendicular
Step-by-step explanation:
This can be rewritten in fraction form as 2/1 since x/1 = x.
Explanation:
In order to have a parallel line:
The slope have to be the same as the original which is 2x
In order to have a perpendicular line:
The slope have to be the opposite reciprocal of the original slope
Which is -1/2x
Which of the following is NOT true of correcting poor decisions?
А. Correcting a poor decision can be difficult
B Correcting a poor decision will allow you to feel better in the long run.
C Correcting a poor decision helps in taking responsibility for actions.
D Correcting a poor decision will make you more popular in school.
Answers
solve this for me plzzz
Answers
Answer: a- steve
Step-by-step explanation:
Answer:
B Emma is correct
Step-by-step explanation:
(25 points) PLEASE HELP! Gotta get this done before my mom comes home
1. The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound. How much of each kind of nut should she include in the mixed bag?
A. Cashews: 0.10 lb.; peanuts: 0.40 1b.
B. Cashews: 0.42 lb.; peanuts: 0.08 1b.
C. Cashews: 0.40 lb.; peanuts: 0.10 1b
D. Cashews: 0.27 lb.; peanuts: 0.23 1b.
E. Cashews: 0.23 lb.; peanuts: 0.27 1b.
F. Cashews: 0.08 lb.; peanuts: 0.42 1b
2. A nursery owner has 288 rose bushes. There are 36 fewer red roses than pink roses. How many of each type of roses are there?
A. Red roses: 162; pink roses: 252.
B. Red roses: 162; pink roses: 126.
C. Red roses: 99; pink roses: 126.
D. Red roses: 126; pink roses: 162
E. Red roses: 126; pink roses: 99
F. Red roses: 252; pink roses: 162
3. The sum of the ages of Stephanie and Heather is 46. Heather is two years younger than Stephanie. Write a system of equations to determine the ages of Stephanie and Heather.
A) S + H = 46
H = S + 2
B) S - H = 46
H - 2 = S
C) S + H = 46
H = S - 2
D) S - H = 2
H = S - 46
E) S + H = 2
H = S - 46
F) 2S – H = 46
4. You want to borrow three rock CDs from your friend. She loves math puzzles and she always makes you solve one before you can borrow her stuff. Here’s the puzzle: Before you borrow three CDs, she will have 39 CDs. She will have half as many country CDs as rock CDs, and one-fourth as many soundtracks as country CDs. How many of each type of CD does she have after you borrow three rock CDs?
A. After borrowing 3 rock CDs, your friend will have 21 rock CDs, 12 country CDs, and 3 soundtracks.
B. After borrowing 3 rock CDs, your friend will have 24 rock CDs, 12 country CDs, and 3 soundtracks.
C. After borrowing 3 rock CDs, your friend will have 25 rock CDs, 10 country CDs, and 4 soundtracks.
D. After borrowing 3 rock CDs, your friend will have 21 rock CDs, 9 country CDs, and 3 soundtracks.
E. After borrowing 3 rock CDs, your friend will have 24 rock CDs, 12 country CDs, and no soundtracks.
F. After borrowing 3 rock CDs, your friend will have 18 rock CDs, 15 country CDs, and 3 soundtracks.
5. Three times the width of a certain rectangle exceeds twice its length by two inches. Four times its length is twelve more than its perimeter. Write a system of equations that could be used to solve this problem. (hint: P = 2L + 2W)
A) 3W = 2L + 2
2L = 2W + 12
B) 3W + 2 = 2L
4L = P – 12
C) 3W = 2L + 2
4L + 12 = P
D) 2W + 2 = 2L
4L = 12 + P
E) 3W + 2 = 2L
4L = 12 + P
F) 2L – 2 = 3W
P = 4L - 12
Thank you!!!!
Answers
Answer:
2. D) Red roses: 126; pink roses: 162
3. C) S+H=46 H=S-2
I hope you found this helpful :)
Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted at two stores where the two new systems have been installed result in the following summary of the data.
System System B
n1=120 n2=100
x1=4.1 minutes x2=3.4 minutes
σ1=2.2minutes σ2= 1.5 minutes
Test at the 0.05 level of significance to determinewhether the population mean checkout times of the two newsystems differ. Which system is preferred?
Answers
Answer:
We conclude that the population means checkout times of the two new systems differ.
Step-by-step explanation:
We are given the result in the following summary of the data;
System System B
n1=120 n2=100
x1=4.1 min x2=3.4 min
σ1=2.2 min σ2= 1.5 min
Let [tex]\mu_1[/tex] = population mean checkout time of the first new system
[tex]\mu_2[/tex] = population mean checkout time of the second new system
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex] {means that the population mean checkout times of the two new systems are equal}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex] {means that the population mean checkout times of the two new systems differ}
The test statistics that will be used here is Two-sample z-test statistics because we know about population standard deviations;
T.S. = [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma_1^{2} }{n_1} + \frac{\sigma_2^{2} }{n_2}} }[/tex] ~ N(0,1)
where, [tex]\bar X_1[/tex] = sample mean checkout time of the first new systems = 4.1 min
[tex]\bar X_2[/tex] = sample mean checkout time of the second new systems = 3.4 min
[tex]\sigma_1[/tex] = population standard deviation of the first new systems = 2.2 min
[tex]\sigma_2[/tex] = population standard deviation of the second new systems = 1.5 min
[tex]n_1[/tex] = sample of the first new systems = 120
[tex]n_2[/tex] = sample of the second new systems = 100
So, the test statistics = [tex]\frac{(4.1-3.4)-(0)}{\sqrt{\frac{2.2^{2} }{120} + \frac{1.5^{2} }{100}} }[/tex]
= 2.792
The value of z-test statistics is 2.792.
Now, at 0.05 level of significance, the z table gives a critical value of -1.96 and 1.96 for the two-tailed test.
Since the value of our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the population mean checkout times of the two new systems differ.
Find the equilibrium price and quantity
from given demand and supply Funchon
Qd = 400-4p and Qs = 6p-10
Answers
Answer:
Step-by-step explanatiio:
Ep is when Qd=Qs
400-4p=6p-10
-4p-6p=-10-400
-8p=-410
P=51.25frs
EQ=400-4(51.25)
400-205
=125kg
Translate and solve: 3x less than two times the sum of 2X and one is equal to the sum of 2 and 5
Answers
Answer:
The answer is x = 5Step-by-step explanation:
The statement
3x less than two times the sum of 2X and one is written as
2( 2x + 1) - 3x
the sum of 2 and 5 is written as
2 + 5
Equate the two statements
We have
2( 2x + 1) - 3x = 2+5
Expand
4x + 2 - 3x = 7
Simplify
4x - 3x = 7 - 2
We have the final answer as
x = 5Hope this helps you
plzzz helppppppp 18-5z+6z>3+6
Answers
Answer:
z > -9
Step-by-step explanation:
Combine like factors.
18 - 5z + 6z > 3 + 6
18 - 5z + 6z > 9
18 + z > 9
Solve for z.
18 + z > 9
(18 + z) - 18 > 9 - 18
z > -9
I really need help on this
Answers
Answer:
Congruent
Step-by-step explanation:
I am not 100% sure because there are no measurements but it looks like the two shapes are the same size.
If this helped, please consider giving me brainliest, it will help me a lot :)
Have a good day.
It’s congruent since the two figures have the same shape and size
A firm just paid an annual dividend of $1.40 and increases that dividend by 2 percent each year. How do you find the price if the firm's stock at year 4 if the discount rate is 13 percent?
Answers
Answer:
14.05
Step-by-step explanation:
We have the following:
Current Dividend = D0 = $ 1.40
g = growth rate = 2%
r = discount rate = 13%
Dividend in Year 5
= D5 = D0 * (1 + g) ^ 5
= $ 1.40 * (1 + 2%) ^ 5
= $ 1.40 * (1.02) ^ 5
Firm Stock Price at the end of year 4 = Dividend in Year 5 / (r - g)
= $ 1.40 * (1.02) ^ 5 / (13% -2%)
= $ 1.40 * (1.02) ^ 5 / (0.13 - 0.02)
Therefore, firm stock at the end of year 4 is
P4 = $ 1.40 * (1.02) ^ 5 / (0.13 - 0.02) = 14.05
Calculate: 1/(1×3) + 1/(3×5) + ... + 1/(47×49) . Please give explanation
Answers
Answer:
4611/11515
Step-by-step explanation:
1/(1×3)- 1 times 3 simply equals 3. so the answer would be 1/3.
1/(3×5)- 3 times 5 simply equals 15. so the answer would be 1/15.
1/(47×49)- 47 times 49 is 2303. so the answer would be 1/2303.
after all this you find the common deonomator. The common denominator is 34545. 34545 divided by 3 equals to 11515 so you muliplty that number by 1/3. 34545 divided by 15 equals to 2303 so you muliplty that number by 1/15.
34545 divided by 2303 equals to 15 so you multiply that number by 1/2303. After adding all that together you get 13833/34545. However after you simplify that number you get 4611/11515