Answer:
b
Step-by-step explanation:
Ethan's Towing Company charges $35 to hook a vehicle to the truck and $2.30 for each mile the vehicle is towed. Write an equation that best represents the relationship between the number of miles towed, m, and the total charges, c?
Answer:
\(c=35+2.3m\)
Step-by-step explanation:
Step one:
given
Ethan's Towing Company charges $35 to hook a vehicle to the truck and $2.30 for each mile the vehicle is towed
let the number of miles be m and the total charges be c
Step two:
Required
The expression relating m and c for the situation
\(c=35+2.3m\)
16. c= vλ. If c = 2.998 x 10^8 m/s, v= 4.41 x 10¹4 s-¹; find a value for λ.
Answer:
6.80 x 10⁻⁷ m
Step-by-step explanation:
You can find the value of λ by inserting the given values into the equation and simplifying.
c = vλ <----- Given equation
2.998 x 10⁸ m/s = (4.41 x 10¹⁴ s⁻¹)λ <----- Insert values
6.80 x 10⁻⁷ m = λ <----- Divide both sides by 4.41 x 10¹⁴
Determine if the following statements are true or false. The magnitude of a vector can be different in different coordinate systems. It is possible to add a scalar to a vector. A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. The direction of a vector can be different in different coordinate systems. A 2D vector can have a component equal to zero even when its magnitude is nonzero. The components of a vector can be different in different coordinate systems. It is possible to multiply a vector by a scalar. Determine if the following statements are true or false. Remember that for a mathematical statement to be true it must be true in all cases. If V_3 = V_1 + V_2, then V_4 = 3V_1 + 3V_2 is parallel to V_3. If V_3 = V_1 + V_2, then V_3 - V_2 is parallel to V_1. If V_3 = V_1 + V_2, then V_3 = V_1 + V_2. If V_3 = V_1 + V_2, then V_3 > V_1.
The statements given are mostly true, except for the statements that V_4 is parallel to V_3 and that V_3 is greater than V_1.
The magnitude of a vector can be different in different coordinate systems. True
It is possible to add a scalar to a vector. True
A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. True
The direction of a vector can be different in different coordinate systems. True
A 2D vector can have a component equal to zero even when its magnitude is nonzero. True
The components of a vector can be different in different coordinate systems. True
It is possible to multiply a vector by a scalar. True
If V_3 = V_1 + V_2, then V_4 = 3V_1 + 3V_2 is parallel to V_3. False
If V_3 = V_1 + V_2, then V_3 - V_2 is parallel to V_1. True
If V_3 = V_1 + V_2, then V_3 = V_1 + V_2. True
If V_3 = V_1 + V_2, then V_3 > V_1. False
learn more about parallel here
https://brainly.com/question/29147156
#SPJ4
The roof of the shed will be constructed so that the ridgeline runs parallel to the longest side of the shed. The bottom chord of each roof truss will be 18 feet long. The pitch of a roof is the slope of the slanted portion. It is given as a ratio. Your classmate Darin used the Roof Truss Diagram on the left of your screen to determine the pitch of the roof. Here are his calculations: tan (27 deg) = 0.5095 The pitch of both sides of the roof is close to 1/2 Darin is correct . What logical assumption did Darin make about the Roof Truss Diagra
The logical assumption that Darin make about the Roof Truss Diagram is that the rise is 4.6 ft and the run is 9 feet.
How to explain the informationBased on the information provided, it appears that Darin assumed that the Roof Truss Diagram is symmetrical, meaning that both sides of the roof have the same dimensions and angles. This assumption is supported by his calculation that the pitch of both sides of the roof is close to 1/2.
Rise will be:
= 9 × tan 27°
= 9 × 0.5095
= 4.6 feet.
Run will be 9ft
Learn more about logic on
https://brainly.com/question/4692301
#SPJ1
what is the last digit of 3 with a power of 2011
So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.
Which is an example of a suggestive survey question?
What do you like and don’t like about the CEO?
Do you own a car or a truck?
What is your favorite brand of soda?
How much credit card debt do you owe?
The survey questiοn is What is yοur favοrite brand οf sοda?
What is a survey?In mathematics, a survey is a technique fοr gathering data that invοlves pοsing a series οf questiοns tο participants in οrder tο learn mοre abοut their attitudes and behaviοrs. It is the mοst typical and affοrdable methοd οf data cοllectiοn. A sample size can change depending οn the situatiοn.
What dο yοu like and dοn’t like abοut the CEO? It is nοt a survey questiοn. In a survey questiοn, there shοuld be an οbject, nοt a persοn.
Dο yοu οwn a car οr a truck? It is nοt a survey questiοn. The survey is dοne οn a particular prοduct. But in the questiοn, nο band is mentiοned.
Hοw much credit card debt dο yοu οwe? It is nοt a survey questiοn. It is a persοnal questiοn.
What is yοur favοrite brand οf sοda? It is a survey questiοn. The survey is dοne οn a sοda brand.
To learn more about sample size of a survey
https://brainly.com/question/14258460
#SPJ1
Raquel throws darts at a coordinate grid centered at the origin. Her goal is to create a line of darts. Her darts actually hit the coordinate grid at (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6). Which equation best approximates the line of best fit of the darts?
y = 0.6x + 0.6
y = 0.1x + 0.8
y = 0.8x + 0.1
y = 0.5x + 0.6
The line of best fit of the darts is y = 0.6x + 0.6 after calculating using the formula option first is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We can calculate the line of best fit by using the slope(m) and intercept(c)
\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}\)
Let's suppose the line of the best fit is:
y = mx + c
m = 0.6
c = 0.6
y = 0.6x + 0.6
Thus, the line of best fit of the darts is y = 0.6x + 0.6 after calculating using the formula option first is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
#SPJ1
Answer:
a
Step-by-step explanation:
Find the volume of a frustum of a right circular cone with height 25, lower base radius 29 and top radius 11.
Thus, the volume of the frustum of the right circular cone with height 25, lower base radius 29 and top radius 11 is approximately 10,677.54 cubic units.
The frustum of a right circular cone is a three-dimensional shape that is formed by cutting off the top of a cone with a plane parallel to the base.
To find the volume of the frustum, we need to use the formula for the volume of a frustum, which is given by:
V = (1/3)πh(R^2 + r^2 + Rr)
where V is the volume of the frustum, h is the height of the frustum, R is the radius of the lower base, and r is the radius of the top base.
In this case, the height of the frustum is 25, the radius of the lower base is 29, and the radius of the top base is 11. So, we can substitute these values into the formula and simplify:
V = (1/3)π(25)(29^2 + 11^2 + 29*11)
V = (1/3)π(25)(841 + 121 + 319)
V = (1/3)π(25)(1281)
V = (1/3)(25π)(1281)
V = 10,677.54
Therefore, the volume of the frustum of the right circular cone with height 25, lower base radius 29 and top radius 11 is approximately 10,677.54 cubic units.
Know more about the right circular cone
https://brainly.com/question/21926193
#SPJ11
time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 4 min. if five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (round your answer to four decimal places.)
The probability that the sample average amount of time taken on each day is at most 11 min is 0.5167
To solve for the probability proportion, we make use of the z statistic. The procedure to do is to calculate for the z value and using the standard probability tables, we can look up for the p value. The formula for z score is:
z =(x – μ) / (σ / √n))
where,
x = sample score = 11
μ = sample mean= 10
σ = standard deviation = 4
n = sample size
Calculating for the z and p value when n = 5:
z =(11 – 10) / (2 /√(5))
z = 0.55
Using the tables, p(5) = 0.7088
Calculating for the z and p value when n = 6:
z =(11 – 10) / (4/ √6))
z = 0.61
Using the tables, p(6) = 0.7290
If both days should be occurring, therefore the total probability that each day is at most 11 min is:
p total = p(5) * p(6)
p total = 0.7088 * 0.7290
p total = 0.5167
Hence the average amount of time taken on each day is at most 11 min.
Learn more about Normal distribution here:
brainly.com/question/4079902
#SPJ4
PLEASE HELP ASAP ILL GIVE 100 POINTS TO ANYONE THAT ANSWERS CORRECTLY
Answer:
1/5
Step-by-step explanation:
I think thats right idI dont knowk ahaha sorry if its not
Use a permutation expression to solve.
In a race of 48 people, how many different ways can the runners place in 1st, 2nd, and 3rd?
17,296
34,592
103,776
110,592
Answer:
The answer is 103,776
Step-by-step explanation: I took the k12 test.
A certain college team has on its roster three centers, four guards, and four forwards. Students are denoted with letters and some students can play at different positions as follows: Center: X, Y, Z Guard: A, B, X, Y Forward: C, D, E, X a) In how many ways a lineup can be created if X is selected as a center? b) In how many ways a lineup be created if both X and Y are not selected?
In this scenario, X has been chosen to be the center. This means that there are only 2 centers remaining on the roster. Two guards from A, B, X, and Y can be chosen in (4 choose 2)
= 6 ways Two forwards from C, D, E, and X can be chosen in (4 choose 2)
6 ways Thus, the total number of possible lineups that can be created if X is chosen as a center is:6 x 6
= 36Possible lineups
= 36b) In how many ways a lineup can be created if both X and Y are not selected?In this scenario, both X and Y have not been chosen, which means that they are unavailable. the following:Centers: X, Y, ZGuards: A, B Forwards: C, D, E Now we must pick 1 center, 2 guards, and 2 forwards from the remaining pool of 6 players. Thus, we have the following possibilities for the lineup: One center from X, Y, Z can be chosen in 3 waysTwo guards from A, B can be chosen in (2 choose 2) + (2 choose 1)(4 choose 1)
= 6 ways Two forwards from C, D, E can be chosen in (3 choose 2) + (3 choose 1)(3 choose 1)
= 9 waysThus,the total number of possible lineups that can be created if both X and Y are not chosen is:3 x 6 x 9
= 162Possible lineups
= 162Therefore, a lineup can be created in 36 ways if X is chosen as a center and in 162 ways if both X and Y are not chosen.
To know more about center visit:
https://brainly.com/question/4210727?referrer=searchResults
#SPJ11
Y=square root of x-1
Answer:
Find the domain for
y
=
√
x
−
1
so that a list of
x
values can be picked to find a list of points, which will help graphing the radical.
Tap for more steps...
Interval Notation:
[
1
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
1
}
To find the radical expression end point, substitute the
x
value
1
, which is the least value in the domain, into
f
(
x
)
=
√
x
−
1
.
Tap for more steps...
0
The radical expression end point is
(
1
,
0
)
.
(
1
,
0
)
Select a few
x
values from the domain. It would be more useful to select the values so that they are next to the
x
value of the radical expression end point.
Tap for more steps...
x
y
1
0
2
1
3
1.41
image of graph
Step-by-step explanation:
when each data value in one sample can be linked to a data value in another sample, the samples are said to be
When each value of the data in one of the sample linked to the data value in another given sample , then samples are known as paired samples.
Let us consider data value of sample one is A = { 1, 2, 3, 4, 5 }Now consider another sample as B = { a, b, c, d, e }1→a , 2→c , 3 →b , 4→e , 5→d.Each data value of one sample is linked with the data value of another sample.This relation of linking data values of two different samples is known as paired samples.All data values are uniquely associated with the other sample data values.Therefore, paired samples is representing the linking of data values of one sample to the data values of other sample.
Learn more about samples here
brainly.com/question/27860316
#SPJ4
HELP ME PLs!!
p+8=13
-26=b-3
t/6=3
Laura shaded 60 squares on her hundredths grid. Billy shaded 50 squares on his hundredths grid. A. Write an expression that is the sum of two fractions and has a value greater than Billy’s decimal and less than Laura’s decimal. B. Write two decimals equivalent to Laura’s decimal.
Answer:
(A) The two fractions can be 0.54 and 0.55 and something else also between 0.50 and 0.60.
(B) The two decimals equivalent to Laura’s decimal are 0.6 and 0.600.
Step-by-step explanation:
We are given that Laura shaded 60 squares on her hundredths grid. Billy shaded 50 squares on his hundredths grid.
(A) Laura shaded 60 squares on her hundredths grid, that means;
\(60 \times \frac{1}{100} = 0.60\)
Similarly, Billy shaded 50 squares on his hundredths grid, that means;
\(50 \times \frac{1}{100} = 0.50\)
The two fractions that have a value greater than Billy’s decimal and less than Laura’s decimal is given by;
This means 0.50 < x < 0.60
The two fractions can be 0.54 and 0.55 and something else also between 0.50 and 0.60.
(B) The two decimals equivalent to Laura’s decimal are;
Laura's decimal fraction is 0.60
So, 0.6 is equivalent to 0.60
and 0.600 is also equivalent to 0.60
Hence, the two decimals equivalent to Laura’s decimal are 0.6 and 0.600.
Can someone make up an equation for this answer
A scale that allows us to rank individuals or objects, but not to say anything about the meaning of the differences between the ranks, is a(n)?
A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
What is an ordinal scale?An ordinal scale is one that allows us to rank individuals or objects without saying anything about the significance of the differences between the ranks. The ordinal scale is the second level of measurement that reports data ranking and ordering without determining the degree of variation between them. Cases in the same class are regarded as equivalent. Movie ratings, political affiliation, military rank, and other variables that use ordinal scales are examples."Movie ratings" is an example of an ordinal scale. Students in a class, for example, could rate a movie using the scale below.Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
Know more about the ordinal scale here:
https://brainly.com/question/13267344
#SPJ4
helpppppppppppppppppppppppppppp
Answer:
1,092 square cm
Step-by-step explanation:
I hope this helps you.
Area of a triangle = 1/2base x perpendicular height so...
1/2(26) x (8) = 104
104 x no. of sides (4) = 416
416 + (26x26) = 1,092
Answer:
i belive the answer is 988
Step-by-step explanation:
it cant be 884 it seems to low and 1092 is probably there
Solve each equation, and then choose the correct answer.
-7x +4x -11=22
Drag answer here
3x - 5 = 7
Drag answer here
3(x + 7) = 5x
-7
Drag answer here
2(x-5) + 3x =20
Drag answer here
6
-6
4
-11
14
11
Answer:
1: -7x +4x -11=22 Answer: x=−11
2: 3x - 5 = 7 Answer: x=4
3: 3(x + 7) = 5x -7 Answer: x=14
4: 2(x-5) + 3x =20 Answer: x=6
Step-by-step explanation
1: x=−11
2: x=4
3: x=14
4: x=6
Above is the answers.
Down is the steps of the questions.
Example for question 1
1: Step 1: Simplify both sides of the equation.
2: Step 2: Add 11 to both sides.
3: Step 3: Divide both sides by -3.
Hope this helps.
Bobby think that 5^2 = 10. What is wrong with this answer
Answer:
see below
Step-by-step explanation:
5^2 means 5*5 not 5*2
5^2 = 5*5 = 25 not 10
Answer:
5*5 = 25
bobby mistake is doing 5*2 = 10
Step-by-step explanation:
Solve for j
j / - 2 + 7 = −12
j =
Answer:
j = 38
Step-by-step explanation:
\(\frac{j}{-2} + 7 = -12\)
subtract 7 on both sides:
\(\frac{j}{-2} + 7 - 7 = -12 - 7\)
\(\frac{j}{-2} = -19\)
multiply -2 on both sides:
\(\frac{j}{-2}\) x -2 = -19 x -2
j = 38
In a binomial situation, n=18 and π=0.60. Determine the expected
value
The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.
In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.
In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.
n = 18 (number of trials)
π = 0.60 (probability of success for each trial)
To find the expected value:
E(X) = np
Substitute the given values:
E(X) = 18 * 0.60
Calculate the expected value:
E(X) = 10.8
learn more about binomial here:
https://brainly.com/question/31049218
#SPJ4
A $500 snowboard is on sale for 20% off so there is an 8% sales tax Wade has $425 does he have enough to purchase to snowboard yes or no
Answer:
that is$ 160 ok alright jf
Pleaseeee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer: 132 degree
Step-by-step explanation:
X + 48 = 180
X = 180 - 48
X = 132 degree
What is the slope for the following two points: (-1,2) and (5,-3) Your answer
Answer:
I got -5/6
Step-by-step explanation:
Y2-Y1/X1-X2
So -3-2/5-(-1) =-5/6
I hope this is the right answer :)
Did I do it right? If I didn't, Can u please explain why and give me the correct answer please?
Answer:
Step-by-step explanation:
1) find the total of candies
3 + 6 + 5 + 2 + 8 = 24
2) divide the number of yellow candies for the total amount of candies
5/24 = 0.21 (correct)
3) use a proportion
6 : 24 = x : 200
x = (200 *6) / 24 = 50 (correct)
6x - y = 21
-5x + y = -18
The solution to the system of equations 6x - y = 21 and -5x + y = -18 is x = 3 and y = -3.
To solve the system of equations:
6x - y = 21 ...(1)
-5x + y = -18 ...(2)
We can use the method of elimination by adding the two equations together to eliminate the variable y:
(6x - y) + (-5x + y) = 21 + (-18)
Simplifying the equation:
6x - y - 5x + y = 21 - 18
Combining like terms:
x = 3
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use equation (1):
6x - y = 21
6(3) - y = 21
18 - y = 21
Subtracting 18 from both sides:
-y = 3
Multiplying by -1 to isolate y:
y = -3
Therefore, the solution to the system of equations is x = 3 and y = -3.
To verify this solution, we substitute these values back into the original equations:
6x - y = 21
6(3) - (-3) = 21
18 + 3 = 21
21 = 21
The equation holds true for x = 3 and y = -3.
For more such questions on solution
https://brainly.com/question/17145398
#SPJ8
4. Given initial value problem y" + 400y = 39 cos 19t y(O) = 2 & 7(0) = 0 (a) Solve the initial value problem. } (b) Rewrite the initial value problem solution in the format لها - Aco (1) co() COS
(a) the solution to the initial value problem is: y(t) = cos(20t) + sin(20t) + cos(19t)
(b) The solution in the requested format is: y(t) = لها - Aco(1) co() COS
= cos(20t) - cos(π/2 - 20t) cos(19t)
To solve the initial value problem, we can use the method of undetermined coefficients. Let's proceed step by step:
(a) Solve the initial value problem:
The homogeneous equation associated with the given differential equation is:
y'' + 400y = 0
The characteristic equation for this homogeneous equation is:
r^2 + 400 = 0
Solving this quadratic equation, we find two complex conjugate roots:
r1 = -20i
r2 = 20i
The general solution for the homogeneous equation is:
y_h(t) = C1 cos(20t) + C2 sin(20t)
Now, let's find a particular solution for the non-homogeneous equation:
We assume a particular solution of the form:
y_p(t) = A cos(19t) + B sin(19t)
Differentiating twice:
y_p''(t) = -361A cos(19t) - 361B sin(19t)
Substituting into the original equation:
-361A cos(19t) - 361B sin(19t) + 400(A cos(19t) + B sin(19t)) = 39 cos(19t)
Simplifying:
(400A - 361A) cos(19t) + (400B - 361B) sin(19t) = 39 cos(19t)
Comparing coefficients:
400A - 361A = 39
400B - 361B = 0
Solving these equations, we find:
A = 39/39 = 1
B = 0/39 = 0
Therefore, the particular solution is:
y_p(t) = cos(19t)
The general solution for the non-homogeneous equation is:
y(t) = y_h(t) + y_p(t)
= C1 cos(20t) + C2 sin(20t) + cos(19t)
Applying the initial conditions:
y(0) = C1 cos(0) + C2 sin(0) + cos(0) = C1 + 1 = 2
y'(0) = -20C1 sin(0) + 20C2 cos(0) - 19 sin(0) = -19
From the first condition, we have:
C1 = 2 - 1 = 1
From the second condition, we have:
-20C1 + 20C2 - 19 = 0
-20(1) + 20C2 - 19 = 0
20C2 = 19 - (-20)
20C2 = 39
C2 = 39/20
Therefore, the solution to the initial value problem is:
y(t) = cos(20t) + sin(20t) + cos(19t)
(b) Rewrite the initial value problem solution in the format لها - Aco (1) co() COS:
The given format لها - Aco (1) co() COS suggests representing the solution using the sum-to-product formula for cosine.
Using the identity cos(A)cos(B) = 1/2[cos(A + B) + cos(A - B)], we can rewrite the solution as:
y(t) = cos(20t) + sin(20t) + cos(19t)
= cos(20t) + cos(π/2 - 20t) + cos(19t)
Comparing with the given format, we have:
لها = cos(20t)
Aco(1) = cos(π/2 - 20t)
co() = cos(19t)
Therefore, the solution in the requested format is:
y(t) = لها - Aco(1) co() COS
= cos(20t) - cos(π/2 - 20t) cos(19t)
To know more about initial value problem, visit the link : https://brainly.com/question/31041139
#SPJ11
50 points to the person that gets this correct:
The expression 2(l + w) represents the perimeter of a rectangle with length l and width w.
Which statement is true?
A. The variable 2 is being multiplied by (l + w).
B. There are two variables in the expression l and w.
C. (l + w) represents the product of two terms: l and w.
D. The expression is the quotient of two factors: 2 and (l + w).
Answer:
B. There are two variables in the expression l and w.Step-by-step explanation:
Perimeter formula given
P = 2(l + w)Statements to confirm
A. The variable 2 is being multiplied by (l + w)
False. 2 is not a variable, it is constantB. There are two variables in the expression l and w.
TrueC. (l + w) represents the product of two terms: l and w.
False. It is sum not productD. The expression is the quotient of two factors: 2 and (l + w).
False. It is product of two factorsAnswer:
B
Step-by-step explanation:
A. The variable 2 is being multiplied by (l + w).
FALSE because "2" isn't a variable.
B. There are two variables in the expression l and w.
TRUE because variables are any letters. In this case, the letters are w and l.
C. (l + w) represents the product of two terms: l and w.
FALSE because product means multiplication when we are adding.
D. The expression is the quotient of two factors: 2 and (l + w).
FALSE quotient means divide when we are multiplying.
Best of Luck!