Answer:
r = 7.50 + (1.10 × (m - 1))
r = 7.50 + (1.10 × (9 - 1))
r = 16.40
The total uber rate for 9 miles is $16.3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
First-mile charge = $7.50
Additional charges after the first mile = $1.10
The total charge for 9 miles.
r = 7.50 + 1.10 x 8
r = 7.50 + 8.8
r = $16.3
Thus,
The total rate for 9 miles is $16.3.
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A company is producing picture frames as well as the glass for the front of the frames. The amount of wood required
for the frame is represented by the function W/(x), and the amount of glass is represented by the function G(x). The
frames have lengths represented by the function f(x) and widths represented by g(x).
X
2
3
4
5
W(x)=2[(f+g)(x)]
14
24
34
44
G(x) = (f-g)(x)
6
27
60
105
Which statement describes the combined functions W(x) and G(x)?
O The amount of glass required has a constant rate of change, but the amount of wood does not.
O The amount of wood required has a constant rate of change, but the amount of glass does not.
O Both the amount of wood required and the amount of glass required have a constant rate of change.
ONeither the amount of wood required nor the amount of glass required has a constant rate of change.
Answer:The combined functions W(x) and G(x) represent the amount of wood and glass required to produce a picture frame. Based on the information provided,
W(x)= 2[(f+g)(x)] and G(x) = (f-g)(x)
By looking at the values of the given table, it can be observed that the rate of change in the amount of glass required (G(x)) is not constant, it increases as x increases.
On the other hand, the rate of change in the amount of wood required (W(x)) is not constant as well, it increases as x increases too.
It's not mentioned any information about constant rate of change for f and g.
Therefore, the correct statement that describes the combined functions W(x) and G(x) is: "Neither the amount of wood required nor the amount of glass required has a constant rate of change."
It's important to mention that the problem provided does not have a unique solution, because the values for f and g are not defined so it's not possible to infer their behaviour over time.
It is only possible to infer the behaviour of the functions W(x) and G(x) given the information provided, and it is clear that the rate of change for both functions does not remain constant, but it increases as x increases.
Step-by-step explanation:
The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of p(x) in vertex form is p(x) = 3(x - 1)² - 2.
Option C is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
From the table,
From p(x) = 10 to p(x) = -2 the value of p(x) is decreasing and from p(x) = -2 to p(x) = 46 it is increasing.
So,
The vertex is (1, -2).
The vertex form of p(x).
p(x) = a ( x - h)² + k
Where (h, k) is the vertex.
Now,
(1, -2) = (h, k)
Make (0, 1) = (x, p(x))
1 = a (0 - 1)² + (-2)
1 = a - 2
a = 1 + 2
a = 3
Thus,
The vertex equation of p(x).
p(x) = 3(x - 1)² - 2
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What is the multiplicative rate of change for the exponential function f(x)=2(5/2) in decimal form
The multiplicative rate of change for the exponential function is 0.4.
What is an exponential function?The exponential function in mathematics is represented by the symbols f(x)=exp or ex. The word, unless otherwise stated, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
In mathematics, an exponential function has the following form: f (x) = an x, where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.
Given: Exponential function [tex]$f(x)=2\left(\frac{5}{2}\right)^{-x}$[/tex]
To find The multiplicative rate of change for the exponential function.
Solution :
The general form of the exponential function is [tex]$f(x)=a b^x$[/tex]
where $b$ is the rate of change of the function.
First we write the given function In proper form:
[tex]$$\begin{aligned}& f(x)=2\left(\frac{5}{2}\right)^{-x} \\& f(x)=2\left(\frac{2}{5}\right)^x\end{aligned}$$[/tex]
The rate of change is [tex]$f(x)=a b^x$[/tex]
Therefore, The multiplicative rate of change for the exponential function Is $0.4$
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Select the correct answer.
Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights.
Which of the following formulas will show how Steve can determine the height of a rectangular pan?
I believe it's A
I hope this helps and if I'm wrong I apologize
a wall is 50cmx50cm how many 2cmx1cm tiles would you need to fill it
Answer: 1250
Step-by-step explanation: 50 x 50 = 2,500
2,500 divided by 2 is 1250
Find the values at the 30th and 90th percentile for each data set
6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581.
In the figure shown, AB and CD are parallel. AB and CD are intersected by EH at points F and G, respectively. The measure of LEFA is (x - 5)°, and the measure of ZDGF is (73x - 365) °. What is the measure, in degrees, of ZDGH?
The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
The diagram is given below.
Then the equation is written as,
∠EFA + ∠DGF = 180°
x - 5 + 73x - 365 = 180°
74x = 550
x = 273/27
Then the measure of the angle ∠DGF is given as,
∠DGF = 73(273/27) - 365
∠DGF = 177.57°
Then the measure of the angle ∠DGH will be calculated as,
∠DGH + ∠DGF = 180°
∠DGH + 177.57° = 180°
∠DGH = 2.43°
The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.
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Use the figure to answer the question,
Triangle ABC is similar to triangle ABC.
B
Which series of transformations shows that ABC is similar to ABC1
A. Reflect ABC across line I and translate 2 units right.
B. Reflect ABC across line I and translate 6 units up
C. Reflect ABC across line I and dilate from point A by a factor of 2.
D. Reflect ABC across line I and dilate from point A by a factor of
On solving the provided question, we cans ay that - here in triangles, triangle ABC is congruent to triangle A`B`C`
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
Here,
two triangles are there
triangle ABC and triangle A`B`C`
AB =A`B`
BC = B`C`
AC =A`C`
So, by sss property
both are congruent
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You get to spin the wheel one time. What's the probability that you will
land on bankrupt?
The likelihood of the word "BANKRUPT" appearing on the Wheel of Fortune is 1/9 = 11.1%.
How many bankrupts are on the Wheel of Fortune?The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it. A "1" spinning is 3 out of 8 likely.
Select a direction, get a matrix, locate an eigenvector, normalize it, take its adjoint, multiply by your vector, determine the magnitude of the result, then square that. Finished, that's the likelihood.
Two Bankrupt wedges and one Lose a Turn wedge are also included on the wheel. The contestant's turn is forfeited if they land on either, and the Bankrupt wedge also gets rid of whatever money or rewards they have acquired during the round.
The likelihood of spinning "BANKRUPT" on any given spin of the Wheel of Fortune is 1/9 = 11.1%.
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A woman leaves home at 7 am and drives to New York City 200 miles away. If she averages 50 miles per hour, what time will she arrive at the city
Answer:
11 AM
Step-by-step explanation:
Mile Calculation:
200 miles away and 50 miles per hour.
200 divided by 50 is equal to 4
Answer:
Now, 7 am + 4 hours is equal to 11 AM.
Make equivalent fractions with the LCD of 12:
5/6 + 1/4 =
5/12 + 1/12 =
10/12 + 3/12 =
7/12 + 4/12 =
11/12 + 5/12 =
Which one?
Answer:
All four are equivalent fractions with the LCD of 12
Step-by-step explanation:
Which of the following points best represents the location of -1;
15.
ос
OD
Ов
ОА
+
-2
в с
0
on the number line?
D
2 +
2
The density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume. Express this density in pounds per cubic foot. Round your answer to the nearest whole number.
The density in terms of pounds per cubic foot is 101.2 pounds/ft³
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here; 6900 g for every 4.05 quarts thus expressing in terms of pounds per cubic foot we get = 15.22/0.15039
= 101.2
Hence, The density in terms of pounds per cubic foot is 101.2 pounds/ft³
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The distribution of the amount of money undergraduate students spends on books for a term is slightly right-skewed, with a mean of $400 and a standard deviation of S80. If a simple random sample of 100 undergraduate students is selected, what is the probability that these students spend, on average, more than $425 on books?
The probability that on average these students spend more than $425 on books is given as follows:
0.0009 = 0.09%.
How to obtain the probability using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this problem are given as follows:
[tex]\mu = 400, \sigma = 80, n = 100, s = \frac{80}{\sqrt{100}} = 8[/tex]
The desired probability is one subtracted by the p-value of Z when X = 425, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{425 - 400}{8}[/tex]
Z = 3.125.
Z = 3.125 has a p-value of 0.9991.
1 - 0.9991 = 0.0009 = 0.09%.
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Write 2,023 in word form
Answer:
Two thousand and twenty three
Step-by-step explanation:
Answer: Two and twenty-three thousandths
Step-by-step explanation:
3/5 of carl's money is $27.00. how much is 1/2 of his money
Answer:
$22.5
Step-by-step explanation:
$27.00/3/5=45
45*1/2=$22.5
pls help last test or semester half my grade pls pls pls i’ll give brainliest
Therefore , the solution of the given problem of function comes out to be satisfies the given function is x=9 and y=21.
What is function?Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.
Here,
Given : A table of values of x and y
To find : the function is linear or not
Thus,
F(x) = y -3x =0
So,
Putting the values of x and y in given function
The value which satisfies the given function is x=9 and y=21.
Therefore , the solution of the given problem of function comes out to be
satisfies the given function is x=9 and y=21.
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Steps to solve equation
An equation may have more than one solution.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The variable's value for which the equation holds true is referred to as the equation's solution. If the LHS and RHS are switched, an equation doesn't change. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.
Steps to solve a linear equation:
1. If necessary, remove the parentheses and use the distributive property.
2. By merging like terms, make both sides of the equation simpler.
3. The LCD (least common denominator) of all the fractions should be multiplied by both sides of the equation if there are any fractions.
4. If the equation contains decimals, multiply both sides by the lowest power of 10 to make the result a whole number.
5. Using the addition and subtraction properties of equality, move the constant terms to the other side of the equation and the variable terms to the other.
6. Using the equality properties of multiplication or division, set the variable's coefficient to 1.
7. Get the answer by isolating the variable.
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Which is not a factor pair of 300
Answer:
Step-by-step explanation:
So, the factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300. [Note: If we divide 300 by 21, we get the quotient and remainder as 14 and 6, respectively. So, 21 is not a factor of 300.
Prove that limx→2 x/1+x= 1/2 using the definition of limit
In 1965, the population of a country was 192 thousand to 3 significant figures.
In 2020, the population of that country was 366 thousand to 3 significant figures.
Work out the percentage increase in population. Give your answer correct to 2 significant figures.
The percent change in population is 90.65%.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given population of country in 1965 = 192 thousand = 1,92,000.
population of country in 2020 = 366 thousand = 3,66,000
the increase in population is = 366000 - 192000 = 1,74,000
the percentage increase = (100)(increase in population)/(1965 population)
the percentage increase = (100) (174000)/(192000)
the percentage increase = 90.625%
Hence the percent increase is 90.62%.
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factorisé x2 + 14x +49
The expression is factorized to give (x + 7) and (x + 7)
What is factorization?Factorization described a mathematical methods that consists of writing a number or mathematical object as a product of several other factors that are mostly simpler or smaller objects of the same kind.
Given the quadratic equation;
x² + 14x +49
Find the pair factors of 49 that sum up to 14, the numbers are 7 and 7
Now, substitute the numbers in the expression
x² + 7x + 7x + 49
Make into two expressions, we have;
(x² + 7x) + (7x + 49)
factor out the common terms, we get;
x(x + 7)+ 7(x + 7)
Then, we have;
(x + 7)
(x + 7)
Hence, the factorized form is (x + 7) and (x + 7)
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A rectangular room measures 10 feet by 120 inches. Tonya said the area of the room is 1200 square feet. What did Tonya do wrong?
Answer: Tonya's calculation is incorrect because she mixed units of measurement. She used feet to measure one dimension of the room (10 feet) and inches to measure the other dimension (120 inches) and then calculated the area as 10 x 120 = 1200 square feet.
Area is a measure of the amount of space inside a two-dimensional shape, and it's typically measured in square units. To calculate the area of a rectangular room, you multiply the length of the room by the width of the room,
However in this case, Tonya used different units of measurement for length and width (feet and inches), and therefore the answer is incorrect.
You would need to convert inches to feet before multiplying 10 feet by 120 inches to get the area.
120 inches = 10 feet
So, the correct calculation of the area would be 10 feet * 10 feet = 100 square feet
It's worth mentioning that before calculating any area or volume, it's important to make sure that all units of measurement are consistent and the same.
Step-by-step explanation:
A student made two patterns to show multiplication of a decimal by powers of ten. the equations shown for both patterns are incorrect. pattern A
3.675. 10 =3.7650
3.675. 100= 3.67500
3.675.1,000= 3.675000
pattern B
3.675. 10=3.0675
3.675.0.01= 3.00675
3.675. 0.001= 3.000675
explain why the equations in each of the patterns are false. Include in your explanation the values that should appear on the right side of each equation in both patterns to make the equations true.
If a student made two patterns to show multiplication of a decimal by powers of ten. All the value are incorrect. The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.
How to find the correct value?Pattern A
3.675×10 =3.7650 Incorrect
3.675×10 = 36.75 Correct
3.675× 100= 3.67500 Incorrect
3.675×100= 367.5 Correct
3.675×1,000= 3.675000 Incorrect
3.675×1,000 = 3,675 Correct
Pattern B
3.675×10=3.0675 Incorrect
3.675× 10= 36.75 Correct
3.675×0.01= 3.00675 Incorrect
3.675×0.01= 0.03675 Correct
3.675×0.001= 3.000675 Incorrect
3.675×0.001= 0.003675 Correct
The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.
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Given the circle below with secants \overline{UVW} UVW and \overline{YXW} YXW . If YW=40, YX=16YW=40,YX=16 and VW=22VW=22, find the length of \overline{UV} UV . Round to the nearest tenth if necessary.
The length of UV in the circle is given as follows:
13.2.
How to obtain the length of UV?We are given two secant segments in the circle for this problem.
For two secants, the product of the lengths of one secant segment and it's external segment equals the product of the lengths of the other secant segment and it's external segment.
Hence, from the circle given by the image presented at the end of the answer, the relation for this problem is given as follows:
(22 + 17) x 17 = (20 + UV) x 20
Hence we must simply solve the expression to obtain the length of UV, as follows:
39 x 17 = 400 + 20UV
663 = 400 + 20 UV
20 UV = 263
UV = 263/20
UV = 13.2.
Missing InformationThe circles are given by the image presented at the end of the answer.
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Imagine a box with an ant at one corner. The ant wants to travel to the opposite corner by the most direct path. It must travel across the top of box at some stage. The top of the box is the light area. It cannot travel along the ground or under the box. (Hint : it does not have to travel along an edge)
The solution is Option A.
The shortest distance is given by the two hypotenuses of the triangles and the distance is X = 7.8 cm
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the shortest distance be represented as X
Let the first triangle be the first face of the rectangular box ΔABC
The length of the triangle AB = 3 cm
The height of the triangle BC = 2 cm
Now ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
The measure of AC = √ ( 3² + 2² )
The measure of AC = √13 cm
And , the second triangle is the second face of the rectangular box ΔDEF
The length of the triangle DE = 4 cm
The height of the triangle EF = 2 cm
The measure of DF = √ ( 4² + 2² )
The measure of DF = √18 cm
Now , the shortest distance X = The measure of AC + measure of DF
Substituting the values in the equation , we get
The shortest distance X = √13 cm + √18 cm
The shortest distance X = 3.60 + 4.24
The shortest distance X = 7.8 cm
Therefore , the value of A is 7.8 cm
Hence , the shortest distance for the ant is 7.8 cm
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The graphs of lines a and b are shown on the coordinate
plane. Write the equation on the line provided for each line.
Then solve the system of equations using any method.
The equation of line a is.
The equation of line b is.
Solution
From the graph we got two equations of line -3x+ y -9 =0 and x+y-7 =0
and solution of these equations are x = -1/2 and y= 15/2
what is equation of line?An algebraic expression that represents a number of points which creates a line in the XY coordinate system or another coordinate plane.
What is the equation of lines shown in the graph?
we are given a graph containing two equations of line named a and b. The lines are plotted in XY coordinate system.
From the graph, we can detect two locations of point (5, 6) and (1, -6) for line a and detect two location of point (1, 6) and (6, 1) for line b.
As per the formula for equation of straight line, a line passes through two points can be written as y-y₁ = [(y₂-y₁) / (x₂-x₁)] × (x- x₁)
hence, line a can be written as (y- 6) = [(-6 -6) / (1-5)] × (x- 5)
y-6 = 3(x-5)
y-6 = 3x -15
y-3x -9 = 0
In the next, line b can be written as (y-6) = [(1-6) / (6-1)] × (x-1)
y-6 = -1(x-1)
y-6 = -x+1
x+ y -7 =0
now, we get two equations, -3x+ y -9 =0
x+ y - 7 =0
Solving these two equations by addition method, we get x= -1/2 and y = 15/2
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Which of the following tables represents a linear relationship that is also proportional
Answer picture below
Answer:
c=200+0.4Yd find determine equlibirum level investment is =400
Answer:im pretty sure its D
Step-by-step explanation:it goes through the origin
Joshua's cousin pledged $12 for a charity walk if Joshua walked 3 miles how much did his cousin pay per mile
Which expression is equivalent to -3(x+4)(x-6)-(x^2+8x-10)?
Answer:-4x^2-2x+46.
Step-by-step explanation:
To simplify this expression, you can start by distributing the negative sign to the first set of parentheses:
(-3)(x+4)(x-6)-(x^2+8x-10)
Then, you can distribute the -3 to the terms inside the first set of parentheses:
(-3x-12)(x-6)-(x^2+8x-10)
Then, you can combine like terms:
-3x^2+6x+36-x^2-8x+10
This simplifies to:
-4x^2-2x+46
Therefore, the expression that is equivalent to -3(x+4)(x-6)-(x^2+8x-10) is -4x^2-2x+46.
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