Answer: D
Step-by-step explanation: 60x9=540 and 540x80=43,200
A meter in a taxi calculates the fare using the function f(x) = 2.56x + 2.40. If x represents the length of the trip, in miles, how many miles can a passenger travel for $20?
A passenger can travel 6.875 miles for $20 using the given taxi fare function.
To determine how many miles a passenger can travel for $20 using the taxi fare function f(x) = 2.56x + 2.40, we need to set up an equation and solve for x.
The equation we need to solve is:
2.56x + 2.40 = 20
To solve for x, we can start by subtracting 2.40 from both sides of the equation:
2.56x = 17.60
Next, we can divide both sides by 2.56:
x = 6.875
This calculation assumes that the fare is based solely on distance and that there are no additional fees or charges.
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The combinations for the lockers at school consist of 3 numbers. Each number in the combination can be a number from 0-29. How many locker combinations are possible?
Answer:
87 I think.
Step-by-step explanation:
29 x 3 = 87
The frequency table below shows a student’s quiz scores. One data value in the table is missing. If the mean of the data set is 2.2, what is the score for the missing data item? A. 0 B. 1 C. 2 D. 3
Answer:
B. 1
Step-by-step explanation:
Let's use the formula for finding the mean of a set of data:
mean = (sum of all data values) / (number of data values)
We know that the mean is 2.2, and we have all the other data values except for one. Let's call the missing value "x". The total number of data values is 10 (since there are 10 scores listed in the frequency table). So we can set up an equation:
2.2 = (sum of all 10 data values, including x) / 10
Multiplying both sides by 10, we get:
22 = sum of all 10 data values, including x
We can then subtract the sum of the known data values from both sides to find the missing value:
22 - (01 + 12 + 23 + 31 + 42 + 51) = x
22 - (0 + 2 + 6 + 3 + 8 + 5) = x
x = 22 - 24 = -2
However, a quiz score cannot be negative, so we made a mistake somewhere. Checking the frequency table, we see that there are no scores of 0 or 1, so the missing score must be 0 or 1. Let's try both possibilities:
If the missing score is 0:
2.2 = (01 + 12 + 23 + 31 + 42 + 51 + 0*1) / 10
2.2 = 18 / 10
2.2 = 1.8
This is not true, so the missing score cannot be 0.
If the missing score is 1:
2.2 = (01 + 12 + 23 + 31 + 42 + 51 + 1*?) / 10
2.2 = (18 + ?) / 10
22 = 18 + ?
? = 4
So the missing score is 1, and the answer is B.
Answer:
Answer is B
Total scores/total frequency =mean
54/24=2,25
If you added a score of 1
55/25=2,2
Step-by-step explanation:
hope that helps you
Find the shortest path from vertex A to vertex L. Give your answer as a sequence of vertexes, like ABCFIL
The shortest path from vertex A to vertex L is ACFIL. The total distance of the path is 27 units.
To find the shortest path from vertex A to vertex L, we can use Dijkstra's algorithm. We start by marking the distance of each vertex from A as infinite except for A, which is 0. Then, we choose the vertex with the smallest marked distance and update the distances of its neighbors. We repeat this process until we reach L.
In this case, we would start at A and update the distances of B and D to 2 and 19, respectively. We would then choose B and update the distances of C, F, and E to 11, 10, and 18, respectively.
Next, we would choose F and update the distances of I and L to 27 and 30, respectively. Finally, we would choose L and have found the shortest path from A to L: ACFIL with a total distance of 27.
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pls help quickly!!
Factor completely
3zy²x + y²x - 12zx - 4x
Select one:
a. x (3z + 1) (y + 2)(y-2)
b. None of these.
c.xy (3z + 1)(y-2)
d. x (3z + 1) (4z-3)
e. x (3z-1) (y + 2)²
What does |23| mean?
The volume of a cube depends on the length of its sides. This can be written
in function notation as v(s). What is the best interpretation of v(4) = 64?
A. 4 sides of the cube have a total length of 64 feet.
B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.
C. 4 of these cubes will have a total volume of 64 cubic feet.
OD. A cube with a volume of 4 cubic feet has side lengths of 64 feet.
Answer:
C is the correct answer.
Determine whether y=9(-5)^x represents an exponential function
Answer: Yes, y = 9(-5)^x represents an exponential function.
An exponential function is a function in the form y = ab^x, where a and b are constants and b is a positive real number not equal to 1. The base, b, is raised to the power of x, and the resulting value is multiplied by the constant a.
In the given function, we have a = 9 and b = -5. Although b is negative, it is still a real number not equal to 1, so the function is still considered exponential. Furthermore, the exponent x is a variable, which is raised to a constant base -5, meeting the definition of an exponential function.
Therefore, y = 9(-5)^x is an exponential function.
Step-by-step explanation:
3.6 is 5% of I need help with all
Answer: 3.6 is 5% of 72
Step-by-step explanation: If 3.6 is 5% then just multiply 3.6 by 95 to get 68.4 and add to get 72, Yw.
Passersby have taken 4 pieces of vanilla cake and 6 pieces of coconut cake from a sample tray. Based on past data, of the next 30 samples taken, how many should you expect to be pieces of vanilla cake?
Answer: The answer is actually 12 pieces of vanilla cake.
what is five term in 12,16,21,27
Answer:
34
Step-by-step explanation:
This is sequnce has an easy pattern with adding 1 to the difference every time and goes +4, +5, +6 , so the next should be +7
Answer: think it’s a5=34
Step-by-step explanation:
The area of a rectangular shaped rug is 81 square feet. If the rug is 9 ft long, what is ire perimeter?
The perimeter of the rug is 36ft
What is perimeter?Perimeter is the total length around the outside of a shape. The perimeter can be found by adding all the sides of the shape.
Perimeter of a rectangle is expressed as ;
P = 2(l+w)
The area of the rug is 81ft²
area = l× w
length = 9ft
width of the rug = 81/9 = 9ft
Therefore the perimeter of the rug will be
P = 2(l+w)
P= 2( 9+ 9)
P = 2 × 18
P = 36 ft
therefore the perimeter of the rectangular rug is 36ft
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Mrs Marcus combines her books and magazines then divides them among 10 different tables. If a represents the number of books and d represents the number of magazines Mrs. marcus has, write an expression to show how many books would be on each table.
An expression to show how many books would be on each table is a/10
To find out how many books would be on each table, we need to divide the total number of books by the number of tables.
First, let's express the total number of books in terms of a and d. Since we are not given any specific numbers for a and d, we can simply use variables to represent them. Therefore, the total number of books is given by a.
Next, we need to divide a by 10, the number of tables. This gives us the expression:
a/10
So, the above expression shows how many books would be on each table if Mrs. Marcus combines her books and magazines and then divides them among 10 different tables.
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Complete question is:
Mrs. Marcus combines her atlases and dictionaries and then divides them among 10 different tables. If a represents the number of atlases and d represents the number of dictionaries Mrs. Marcus has, write an expression to show how many books would be on each table.
given h(t)=4t and k(t)=t+5t−1 , determine the expressions that are equal to these combinations of h(t) and k(t) . h(t)+k(t) h(t)−k(t) h(t)+k(t)h(t)−k(t) t2+t+4t2+9t−4 −t2+9t−4t2+t+4 t2+4t+4t2−1 −t2+t+4t2−t −t2+4t−6t2−1 t2+9t−4t2−t
The expressions are written as;
h(t)+k(t) = 10t - 1
h(t)−k(t) = -2t + 1
How to determine the expressionsNote that algebraic expressions are described as expressions that are made up of coefficients, variables, terms, constants and factors.
These expressions are made up of arithmetic operations, which includes;
AdditionMultiplicationDivisionBracketParenthesesSubtractionFrom the information given, we have that;
h(t)=4t
k(t)=t+5t−1
To determine the value of h(t) + k(t), we have;
4t + t + 5t - 1
add the like terms, we get;
10t - 1
To determine h(t) = k(t)
4t- t - 5t + 1
add like terms
-2t + 1
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Given v = - 5i + 7j and w = - 1 - j a. Find pro*l_{w}*v b. Decompose v into two vectors v_{1} and v_{2} where v_{1} is parallel to w and v_{2} is orthogonal to w
The value of proᵥᵥv is (-30/37)i + (42/37)j and the decomposed vector v into v₁ and v₂ are 6 + 6j and -5i + j - 6 respectively.
a. To find the projection of w onto v (proᵥᵥw), we can use the formula,
proᵥᵥw = (w · ȳ)ȳ where ȳ is the unit vector in the direction of v.
First, let's find the unit vector in the direction of v,
|v| = √((-5)² + 7²) = √(74)
ȳ = v/|v| = (-5/√(74))i + (7/√(74))j
Next, let's find the dot product of w and ȳ,
w · ȳ = (-1)(-5/√(74)) + (-1)(7/√(74))
w · ȳ = 12/√(74)
Finally, we can find the projection of w onto v,
proᵥᵥw = (w · ȳ)ȳ = (12/√(74))((-5/√(74))i + (7/√(74))j)
(w · ȳ)ȳ = (-60/74)i + (84/74)j
(w · ȳ)ȳ = (-30/37)i + (42/37)j
Therefore, the projection of w onto v is (-30/37)i + (42/37)j.
b. v₁ = ((v · w)/|w|²)w
v₂ = v - v₁ where |w| is the magnitude of w. First, let's find |w|,
|w| = √((-1)² + (-1)²)
|w| = √(2)
Next, let's find v · w,
v · w = (-5)(-1) + (7)(-1)
v · w = -12
Using the formula, we can find v₁,
v₁ = ((v · w)/|w|²)w = (-12/2)(-1 - j)
v₁ = 6 + 6j
Now, finding v₂,
v₂ = v - v₁
v₂ = (-5i + 7j) - (6 + 6j)
v₂ = -5i + (7 - 6)j - 6
v₂ = -5i + j - 6
As a result, the vector v can be divided into two parts: v₁ = 6 + 6j and v₂ = -5i + j - 6, where v₁ is parallel to w and v₂ is orthogonal to w.
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Complete question - Given v = - 5i + 7j and w = - 1 - j.
a. Find proᵥᵥv
b. Decompose v into two vectors v₁ and v₂ where v₁ is parallel to w and v₂ is orthogonal to w.
Suppose that the function h is defined as follows.
For the given function h(x) the points can be plotted on,
(-1,-1)(0,0)(1,1)(2,2)The given function h(x) is having four conditions and each condition can be clearly discussed below:
Given that for the first condition, the x-axis is ranging from -1 [tex]\leq[/tex] x < 0, the y-axis point is present exactly at -1. Similarly, for the second condition, the x-axis is ranging from 0 [tex]\leq[/tex] x < 1, and the y-axis point is present at 0. For the third condition, the x-axis is ranging from 1 [tex]\leq[/tex] x < 2, and the y-axis point is at 1.Finally, for the fourth condition, the x-axis is ranging from 2 [tex]\leq[/tex] x < 3, and the y-axis point is at 2.From, the above analysis we plotted the graph and attaching below.
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please help for this question
The dilation of the object is given by the coordinates:
(-6,-8)
(-2, 0)
(-2, -8)
A dilation is a function f from a metric space M into itself that fulfills the identity d=rd for all locations x, y in M, where d is the distance between x and y and r is some positive real integer.
For the first dilation
Original points are
(2,1)
(4,5)
(4,1)
Multiply by scale factor
(2,1) x 2 = (4,2)
(4,5) x 2 = (8, 10)
(4,1) x 2 = (8, 2)
This given us the coordinates of triangle B).
For the second dilation
(2,1)
(4,5)
(4,1)
Adjust for the center of dilation which is (5,5)
(2,1) less (5,5) = (-3, -4)
(4,5) less (5,5) = (-1, 0)
(4,1) less (5,5) =(-1, -4)
Multiply the New original point by scale factor
(-3, -4) x 2 = (-6,-8)
(-1, 0) x 2 = (-2, 0)
(-1, -4) x 2 = (-2, -8)
Thus, the new coordinates of the dilated triangle C are:
(-6,-8)
(-2, 0)
(-2, -8).
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3d *5d*2=?
Please what is 3d times 5d times 2
Answer:
[tex]30d^2[/tex]
Step-by-step explanation:
Can someone help me with this pls
Answer:
Subtract the powers, 8-4.
When you simplify that equation itself, the answer is 10,000.
So when you do 10⁴, it's 10,000.
Anna saved $20 in a jar each month for 2 3/4 years. she spent 75% of her savings on a computer. how much money did anna have left in the jar
Anna has $165 left in the jar. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?All real numbers are supposed to be explained by the four fundamental operations, often known as "arithmetic operations." In mathematics, operations like quotient, product, sum, and difference occur after operations like division, multiplication, addition, and subtraction.
We are given that Anna saved $20 in a jar each month for 2 complete years and for 9 months of next year.
So, total months = 9 + 12 + 12 = 33
Now, using the multiplication operation, we get
⇒ Total money saved = 33 * 20
⇒ Total money saved = $660
It is given that she spent 75% of her savings on computer.
So, using the subtraction operation, we get
⇒ Amount left = 660 - 75%
⇒ Amount left = $165
Hence, Anna has $165 left in the jar.
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The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years.
Scatter plot with x axis labeled Time in Years and y axis labeled Number of Households with points at 1 comma 3 and 8 tenths, 2 comma 5 and 8 tenths, 3 comma 6 and 2 tenths, 4 comma 7 and 5 tenths, 5 comma 7 and 2 tenths, 6 comma 8 and 3 tenths, 7 comma 9 and 3 tenths, and 8 comma 8 and 5 tenths.
A) y = −2.78x + 33.6
B) y = −2.78x + 48.5
C) y = 2.78x + 33.6
D)y = 2.78x + 48.5
The equaltion for the line of best fit would be,
y = 0.67x + 4.05
The points on the scatter plot are: (1, 3.8), (2, 5.8), (3, 6.2) , (4, 7.5) , (5, 7.2), (6, 8.3), (7, 9.3), and (8, 8.5 )
First we find the mean of the x-values and mean of the y-values.
The mean of the x-values would be,
[tex]\bar{X}[/tex] = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) / 8
[tex]\bar{X}[/tex] = 4.5
and the mean of the y-values would be,
[tex]\bar{Y}[/tex] = (3.8 + 5.8 + 6.2 + 7.5 + 7.2 + 8.3 + 9.3 + 8.5) / 8
[tex]\bar{Y}[/tex] = 7.075
The sum of squares (SSX) = 42
And the sum of products (SP) = 28.2
Regression Equation would be,
y = mx + c
m = SP/SSX
= 28.2/42
= 0.67143
And the y-intercept would be,
c = 4.05357
So, the equation for the line of best fit would be,
y = 0.67143x + 4.05357
Number of Households = 0.67143 (time) + 4.05357
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Find the complete question below.
The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years.
Scatter plot with x axis labeled Time in Years and y axis labeled Number of Households with points at 1 comma 3 and 8 tenths, 2 comma 5 and 8 tenths, 3 comma 6 and 2 tenths, 4 comma 7 and 5 tenths, 5 comma 7 and 2 tenths, 6 comma 8 and 3 tenths, 7 comma 9 and 3 tenths, and 8 comma 8 and 5 tenths.
Thereare6redmarblesand11orangemarblesinabag.Yourandomly choose one of the marbles. What is the probability of choosing a red marble
The probability of choosing a red marble is 6/17.
What is the probability of choosing a red marbleThe probability of an event occurring is the number of favorable outcomes divided by the total number of possible outcomes.
To calculate this probability, we can use the formula:
P(red marble) = number of red marbles / total number of marbles
In this case, we substitute the numbers we know:
P(red marble) = 6 / 17
So the probability of choosing a red marble is 6/17 or approximately 0.35.
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(-2-3)-(4-5)+ (−1+6)−(−9+8)=
Answer:
Step-by-step explanation:
(-2-3)-(4-5)+ (−1+6)−(−9+8)
-5-4+5-1+6+9-8
-9+4+15-8
-5+7
2
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Step-by-step explanation:
x = -2 or x = 2
x + 2 = 0 or x - 2 = 0
(x + 2) (x - 2) = 0
x² - 4 = 0
#CMIIWSelect all that is TRUE
Question 11 options:
Adding a constant to all the data points does NOT change the correlation
Interchanging X and Y changes the correlation
Correlation has no units
Outliers do NOT effect the correlation
If r is close to 1 then it is a strong positive correlation
Correlation could be positive or negative
Correlation and y-intercept have the same sign
The True statements about the correlation are: (1), (2), (3), (5), (6) and (7)
1) We know that the adding, subtracting, multiplying or dividing a constant to all of the data points in one or both variables does not change the correlation coefficient.
So, the first statement is True.
2) We know that the correlation measures the strength of the pattern around a line of regression as well as the direction of the line. So, interchanging the variables would not change the correlation. The correlation between x and y is the same as the correlation between y and x.
Thus the second statement is True.
3) We know that the correlation coefficient does not have any units.
It is just a number between -1 to +1.
Thus the third statement is True.
4) We know that the outlier may weaken the correlation. It makes the data more scattered. So the correlation coefficient r gets closer to 0.
Thus the fourth statement is False.
5) We know that if the correlation coefficient r is close to 1 then it is a strong positive correlation and if r is close to -1 then it is a strong negative correlation.
Thus the fifth statement is True.
6) We know that the corrletaion coefficient values can range from -1 to 1.
Thus the sixth statement is True.
7) We know that the y-intercept is nothing but the point at which the regression line intercepts the y-axis. The y-intercept of the regression line and the correlation coefficient have the same sign.
Thus the seventh statement is True.
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2.1/0.7=3 but how do you work it out (I cheated and used a calculator)
Answer: To work out 2.1/0.7 without a calculator, you can use long division as follows:
0.7 | 2.1
1.4 (3 times 0.7 is 2.1)
-----
0.7
0.0 (there is no remainder)
Therefore, 2.1/0.7 = 3, which means that 2.1 is equal to 3 times 0.7.
Answer:
see below
Step-by-step explanation:
2.1
-----
.7
Multiply the top and bottom by 10 to get rid of the decimals.
2.1 *10 = 21
.7 * 10 = 7
21/7 = 3
which fraction is the smallest? 3to4, 2/3, 10:12, 2to1
The smallest fraction is 8/12, which is equivalent to 2/3.
How to determine the smallest fractionTo compare fractions, it's best to convert them all to a common denominator.
3/4 is equivalent to 9/12
2/3 is equivalent to 8/12
10/12 is equivalent to 5/6
2/1 is equivalent to 24/12
So, the smallest fraction is 8/12, which is equivalent to 2/3.
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In the diagram above, the sine of angle ACB = 3/5. What is the sine of angle ANM?
The sine of the angle ANM is equal to 3/5 as the triangles are similar.
How to calculate for the sine of angle ANM in the triangle.Given that the sine of angle ACB is equal to 3/5, line MN is parallel to BC and MN is midsegment of triangle ABC which implies that the triangles ABC and ANM are similar so;
sine ANM = 3/2 ÷ 5/2
sine ANM = 3/2 × 2/5
sine ANM = 3/5.
Therefore, the sine of the angle ANM is equal to 3/5 as the triangles are similar.
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Someone help i really need help with this
The equation which can be used to find the amount the admission tickets cost would be 4x + 25 = 175. The cost of the admission tickets would therefore be $ 37.50.
How to find the equation ?The total spent by Ms. Boi was $ 175.00 so this is what the entire equation would be equal to. The cost of admission tickets will be denoted as x because they are the unknown figure.
There are 4 tickets purchased so the equation would be:
4 x Cost of tickets - Parking cost = Total spent
4 x - 25 = 175
The cost of each admission ticket is:
4 x - 25 = 175
x = 150 / 4
x = $ 37.50
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Rewrite the given formula relating the area of a square to the length of its diagonal to solve for d. The 2nd screenshot is the formula sorry for the poor sc
Answer:
\( A=\frac{d^2}{2} \).
Step-by-step explanation:
Area of Square by Applying Formula for the Diagonal
We can use the relationship between diagonal length d and the side a length of a square to find its area A. So, the formula for area of square using diagonal is \( A=\frac{d^2}{2} \).