The cost of one taco at Terrific Tacos is $3.45. To calculate this, we can start by finding the total cost for all tacos purchased.
5 tacos purchased by Randy cost $17.25, and 7 tacos purchased by Jeff cost $24.15. This brings the total cost for all tacos to $41.40. Then, we can divide this total cost by the total number of tacos purchased (12) to get the cost of one taco:
$41.40 / 12 = $3.45.To calculate this, it is important to remember that the total cost of both orders is the sum of Randy's cost and Jeff's cost. This is because both orders were placed at the same restaurant. Then, the total cost needs to be divided by the total number of tacos purchased by both customers. This gives the cost of one taco at Terrific Tacos.
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what is the answer to (7x + 2) (5x − 11)
Answer:
35xΔ2-67x-22
Step-by-step explanation:
how to convert 148 lbs to kg?
The value of the converting 148 pounds to kilograms is given by ( 67.1328 ) kilograms.
Units pounds and kilograms are required to measure the weight of a given object.One kilograms is equal to 2.20462 pounds.
⇒ 2.20462 pounds = One kilograms
⇒ One pounds = ( 1 / 2.20462 ) kilograms
⇒ One pounds = ( 0.4536 ) kilograms
Substitute the required value we have,
⇒ 148 pounds = ( 148 × 0.4536 ) kilograms
⇒ 148 pounds = ( 67.1328 ) kilograms
Therefore, the conversion of the 148 pounds to kilogram is equal to ( 67.1328 ) kilograms .
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Integral of the constant function f(x) = k is:
C
0
kx+C
k+C
Answer:
The integral of the constant function f(x) = k is: kx + C. This is because when you integrate a constant function, you are essentially finding the area under the graph. In this case, the area of the graph is equal to the value of k multiplied by the width of the graph (x) plus a constant.
Match each transformation of function fwith a feature of the transformed function.
domain of (0, ∞)
x-intercept of (-2, 0)
vertical asymptote of x =
j(x) = f(x+3)
g(x) = -f(x − 3)
h(x) = 3 f(x) - 3
range of (-3, ∞)
3
When we transform function f, the resulting transformed function may have certain features that are different from the original function.
⇒ g (x) = - f(x-3) is vertical asymptote of x=3
⇒ j (x) = f(x+3) is x-intercept of (-2,0)
⇒ h (x) = 3f(x) - 3 is domain of (0, ∞)
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given function is;
⇒ f(x) = log x
Hence, we get;
g(x) = -f(x+3)= - log(x+3)
g(x) =-f(x-3) is vertical asymptote of x = 3.
j (x) = f(x+3) = log (x+3)
Then, j(x) = f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}
h(x) = 3f(x)-3 is domain of (0, ∞)
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The complete question is shown in figure.
prove that if x3 is irrational, then x is irrational.?
If x is a rational number, then x = ab and x³ = a³b³, so both x and x³ are rational numbers. Considering the objection to this statement, we conclude that if x is irrational, then x³ is also irrational number.
This question is in the form p → q. Based on the Definition of a rational number is a ∈ Z, b ∈ Z ≥0, and (a ≠ b) then a/b
Irrational Number:
All irrational numbers are real numbers that are not rational numbers. That is, an irrational number cannot be expressed as a ratio of two integers. A line segment is also said to be incommensurable if the ratio of the lengths of the two segments is irrational. That means there is no common "scale". That is, it can be used to express the length of two given segments as an integer multiple of itself.
Proof by inverse:
Inverse (q → p)
¬q≡ x is rational, and ¬p≡ x³ is rational.
∀x ∈ R:(x2∉Q)⇒(x∉Q) .
Using the method of proof by contradiction, let's try to prove that
∃x ∈ R: (x2∉Q) ∧(x∈ Q).
If x is irrational, then we can represent it the next way:
x= pq, p∈ Z, q ∈N.
Let's raise x to the 2nd power:
x³= (pq)³ = p³q³.
But p³ is an integer and q³ is natural:
m = p³∈Z, n= q³∈N.
So we can say that
x³ =mn, m∈ Z, q∈ N,
which means that x³ is irrational by definition
If x is a rational number, then x = ab and x³ = a³b³, so both x and x³ are rational numbers.
Considering the objection to this statement, we conclude that if x is irrational, then x³ is also irrational.
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whats the common denominatior of 1/2 3/4 3/7
Answer:
28
Step-by-step explanation:
Smallest common multiple of 2, 4 and 7 -> 28
16. To the nearest hundredth of a mile per hour, a luge rider's top speed was 81.73
mph. What are some possible speeds to the thousandth of a mile per hour?
Some possible speeds to the thousandth of a mile per hour are 81.729 mph, 81.730 mph, 81.731 mph
How to find possible speeds to the thousandth of a mile per hourTo find some possible speeds to the thousandth of a mile per hour, we can look at the two nearest thousandths above and below the given speed of 81.73 mph.
The nearest thousandth below 81.73 is 81.729, and the nearest thousandth above is 81.731. Therefore, some possible speeds to the thousandth of a mile per hour are:
81.729 mph
81.730 mph
81.731 mph
All these speeds are all within 0.001 mph of the given speed of 81.73 mph.
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The sum of a number times 9 and 30 is at most 15 what is the answer?
Answer:
x ≤ - 5/3
Step-by-step explanation:
Let the number be x
The sum of a number times 9 and 30 is at most 15 translates algebraically to
9x + 30 ≤ 15
Subtracting 30 both sides:
9x ≤ -15
Dividing by 9 both sides:
x ≤ - 15/9
or
x ≤ - 5/3
The correlation coefficient ranges from which two values? a. 0 and 1 b. −1 and +1 c. minus infinity and plus infinity d. 1 and 100
The correlation coefficient ranges from -1 to +1. (option b)
What is correlation?Correlation is a measure that is used in statistics to measure the relationship that exists between two variables. Correlation can either be positive, negative or zero.
Positive correlation exists when two variables move in the same direction. The correlation coefficient usually ranges from 0 to 1. Negative correlation exists when the two variables move in different direction. The correlation coefficient usually ranges from -1 to 0. Zero correlation is when there is no relationship between the variables.
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Find the slope of a line perpendicular to the line whose equation is 10x-12y=-2410x−12y=−24. Fully simplify your answer
The slope of a line perpendicular to the given line is -6/5.
To find the slope of a line perpendicular to another line, we need to take the negative reciprocal of the slope of the original line.
The given equation is:
10x - 12y = -24
To find the slope of this line, we can rearrange the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
First, we can subtract 10x from both sides:
-12y = -10x - 24
Then, we can divide both sides by -12 to isolate y:
y = (5/6)x + 2
Therefore, the slope of the original line is 5/6.
To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of 5/6. The negative reciprocal is -6/5.
Therefore, the slope of a line perpendicular to the given line is -6/5.
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−f−5(2f−3)minus, f, minus, 5, left parenthesis, 2, f, minus, 3, right parenthesis ?
The expression f - 5(2f – 3) is equivalent to two other expressions, option (a) -11f-3 and option (b) -11f + 15.
In mathematics, an expression is a combination of symbols, operated on by certain mathematical operations to create a numerical value or a function.
To understand why this is the case, let's break down the expression.
The first part of the expression is just the variable f, so that is unchanged. The second part involves the multiplication of -5 and (2f – 3).
To evaluate this part, we need to use the order of operations. First, we multiply -5 and 2f and get -10f.
Then, we subtract 3 from this result and get -11f.
Therefore, the expression f - 5(2f – 3) is equivalent to -11f-3 and -11f + 15.
Therefore, the correct options are both (a) and (b).
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Complete Question:
Which expressions are equivalent to - f - 5(2f – 3)?
Choose all answers that apply:
a) -11f-3
b)-11f + 15
c) None of the above
How do you calculate Riemann sums?
Riemann sums are calculated by dividing the area under a curve into subintervals and approximating the area in each interval using a rectangle.
Riemann sums are a method of approximating the area under a curve by dividing the area into smaller subintervals and approximating the area in each interval using a rectangle. The width of each rectangle is determined by the size of the subinterval, and the height of the rectangle is determined by the value of the function at a specific point within the subinterval.
The sum of the areas of all the rectangles gives an approximation of the total area under the curve. The accuracy of the approximation increases as the width of the subintervals decreases, and as the number of subintervals increases, the approximation approaches the exact value of the area under the curve.
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Which of the following equations represents a linear function?
A. y = x/12
B. y = 1/2x^2
C. y= 3x
D. y = 2 (2 + 3)
Answer: Option A,C and D represents a linear equation
Step-by-step explanation:
In linear function the variable has the power raised to one.
In equation ,y=x/12 ,y=3x and y=2(2+3) all the variables has the power of 1
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what is kilograms to pounds conversion?
Kilograms and pounds are two commonly used units of weight or mass.
The kilogram is the base unit of mass in the International System of Units (SI), while the pound is commonly used in the United States and other countries that use the imperial system. To convert from kilograms to pounds, you can multiply the weight in kilograms by 2.20462, since one kilogram is equivalent to 2.20462 pounds.
This conversion factor is useful in a variety of situations, such as when weighing people, animals, or objects in different parts of the world, or when calculating dosages of medications based on body weight.
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Anne and Beate together have $120, Beate and Cecilie together have $60, and Anne and Cecilie together have $70. How much money do they have in total?
Answer:
Step-by-step explanation:
$270 in total
What is the conversion of 60 pounds to dollars?
60 pounds when converted to dollars is 81.97 US dollars.
Countries like the United Kingdom, the South Sandwich Islands, the British Overseas Territories of South Georgia, and the British Antarctic Territory all use pounds as their official currency. Penny sterling, which is one-tenth of a pound, is the name for the lesser units that make up the pound.
The conversion rate of pounds to dollars can vary depending on the current exchange rate. However, as of February 20, 2023, the conversion of 60 pounds to dollars would be:
1 pound = 1.37 US dollars
Hence,
60 pounds = 60*1.37 dollars
= 81.97 dollars
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13. The temperature on a heated metal plate positioned in the first quadrant of the zy-plane is given by C(x, y) = 25e -(0–1)2-(3-1) a Assume that temperature is measured in degrees Celsius and that x and y are y each measured in inches. a. Determine Czz(x, y) and Cyy(x, y). Do not do any additional work to algebraically simplify your results. b. Calculate Cz(1.1, 1.2). Suppose that an ant is walking past the point (1.1, 1.2) along the line y=1.2. Write a sentence to explain the meaning of the value of C. (1.1, 1.2), including units. C. Calculate Cyy(1.1, 1.2). Suppose instead that an ant is walking past the point (1.1, 1.2) along the line z=1.1. Write a sentence to explain the meaning of the value of Cyy(1.1, 1.2), including units. d. Determine Czy(x,y) and hence compute Czy(1.1, 1.2). What is the meaning of this value? Explain, in terms of an ant walking on the heated metal plate. =
Answer: a)
C(x,y) = 25e^(-((x-1)^2 + (y-3)^2))
Czz(x,y) = ∂^2C/∂z^2 = 0 (since C does not depend on z)
Cyy(x,y) = ∂^2C/∂y^2 = 50e^(-((x-1)^2 + (y-3)^2))(2(y-3)^2 - 1)
b)
Cz(x,y) = ∂C/∂z = 0
Cz(1.1, 1.2) = 0
The value of Cz(1.1, 1.2) indicates the rate of change of temperature with respect to z at the point (1.1, 1.2), which is zero. In other words, the temperature does not change with respect to the height (z) at this point.
c)
Cyy(1.1, 1.2) = 50e^(-((1.1-1)^2 + (1.2-3)^2))(2(1.2-3)^2 - 1) ≈ -0.138
The value of Cyy(1.1, 1.2) indicates the rate of change of temperature with respect to y at the point (1.1, 1.2), which is approximately -0.138 °C per inch. In other words, as the ant moves along the line y=1.2, the temperature decreases by approximately 0.138 °C per inch.
d)
Czy(x,y) = ∂^2C/∂z∂y = 100e^(-((x-1)^2 + (y-3)^2))(y-3)
Czy(1.1, 1.2) = 100e^(-((1.1-1)^2 + (1.2-3)^2))(1.2-3) ≈ -43.44
The value of Czy(1.1, 1.2) indicates the rate of change of temperature with respect to both z and y at the point (1.1, 1.2), which is approximately -43.44 °C per inch per unit of height. In other words, as the ant moves along the line z=1.1 and simultaneously moves in the y-direction, the temperature decreases by approximately 43.44 °C per inch per unit of height.
Step-by-step explanation:
how far is san antonio from dallas
Dallas and San Antonio, Texas are separated by approximately 240 miles (386 kilometres) by road. The predicted journey time is around 4 hours, although this may vary based on traffic and other conditions.
Dallas is located in Texas, in the country's southern central area. It is the ninth-largest city in the United States and the third-largest in Texas in terms of population. Dallas is part of the Dallas-Fort Worth metropolitan area, which is one of the largest in the United States. Dallas, in North Texas, is surrounded by a variety of suburban towns. Dallas and San Antonio are approximately 240 miles apart.
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HURRY PLEASEEE
A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance traveled is 56.923 miles.
Part A: How many miles did the hiker travel on the first day? Round your answer to the nearest mile and show all necessary math work. (4 points)
Part B: What is the equation for Sn? Show all necessary math work. (3 points)
Part C: If this pattern continues, what is the total number of miles the hiker will travel in 14 days? Round your answer to the hundredths place and show all necessary math work. (3 points)
A) The hiker traveled 6.0 miles on the first day.
B) [tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]
C) The total number of miles the hiker will travel in 14 days≈168 miles.
Squence and Series:Series and sequence are the basic ideas in mathematics. A sequence is an ordered group of elements where repetitions of any kind are allowed, as opposed to a series, which is the sum of all components.
The distances are organized geometrically, with the first term being a1 and the common ratio being (1 + 10%) = 1.10.
The sum of the seven terms in the series is...
S7 = a1·(r^7 -1)/(r -1)
56.923 = a1·(1.1^7 -1)/(1.1 -1)
5.6923 = a1·0.9487171
Its value is obtained by dividing by the coefficient of a1:
5.6923/0.9487171 ≈ 5.999997 ≈ 6.000
The hiker traveled 6.0 miles on the first day.
Equation for Sn,
[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]
where ,
a= first term
r=common ratio
n=number of terms
[tex]S_{14} =\frac{6(1.1^{14}-1)}{1.1-1} \\\\S_{14}=167.84[/tex]
The total number of miles the hiker will travel in 14 days≈168 miles
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Find an equivalent ratio in simplest terms: 56:88
Answer:
7:11
Step-by-step explanation:
The ratio is 56:88
We simplify by 8 and get the ratio
7:11
We can't simplify anymore, so the answer is 7:11
the average american height is
According to CDC data as of 2021, the average height for adult men in the United States is around 5 feet 9 inches (69.2 inches or 175.7 cm), and the average height for adult women is around 5 feet 4 inches (64.2 inches or 162.5 cm).
Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.
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Workmen used 2/3 of a pallet of pavers to build 3 steps leading up to the mansion. Each step they built was the same size. How many pallets did they use for each step?(IXL)
Write your answer as a fraction or as a whole or mixed number.
The required number of pallets used to build one step of the mansion is 1/8 of a pallet of pavers.
What is simplification?In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.
Given:
Total number of pallets used = 3/4,
Number of steps = 6
pallet used to build one step = [3/4] / 6 = 3 / 24
= 1 / 8
As a result, 1/8 of a paver pallet is what is needed to construct one step of the palace.
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Kim donated half of her pants to charity, and kept her 7 favorite pants. When she was done, she was left with 35 pairs of pants. How many pairs of pants did she have in the beginning?
The answer is 84 pairs of pants.
Explanation:
According to the problem, she donated half of her pants to charity, which means she donated (1/2)x pairs of pants.
After donating half of her pants, she kept her 7 favorite pairs of pants. So, the number of pairs of pants she kept is 7.
The problem states that she was left with 35 pairs of pants after donating half of her pants and keeping her 7 favorite pairs. This means that the remaining number of pairs of pants is (x/2) - 7 = 35.
Solving for x, we get:
(x/2) - 7 = 35
x/2 = 42
x = 84
Therefore, Kim had 84 pairs of pants in the beginning.
Answer:
my guess is 17 .,.
Step-by-step explanation:
3. A bee can fly at an average rate of 7 miles/hour. If a bee flew nonstop
for 18 hours, how far will it have traveled?
If a bee can fly at an average rate of 7 miles per hour and it flew nonstop for 18 hours, we can find the distance it traveled by multiplying its average speed by the time it flew:
distance = speed x time
distance = 7 miles/hour x 18 hours
distance = 126 miles
Therefore, the bee would have traveled 126 miles in 18 hours.
Answer:
126 m (Miles)
Step-by-step explanation:
distance travelled = speed×time = 7×18 = 126 miles
Which digits are missing from this equation?
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
= (3 × ) + (5 × ) + (8 × )
= 358
The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.
What is algebraic equation?
If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.
We are given an expression as
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
On multiplying, we get
= (3 × 100) + (5 × 10) + (8 × 1)
= 358
Hence, the digits missing from the equation are 100, 10 and 1 respectively.
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A 3-meter roll of brown paper costs $0.71. What is the unit price, rounded to the nearest cent?
Answer:
$0.24 per m
Step-by-step explanation:
The nurse is performing a physical assessment of a 10-year-old boy. The nurse notes
that during last year's check-up the child weighed 80 pounds. According to average growth for this age group, what would be his expected current weight?
A) 81 pounds
B) 85 pounds
C) 87 pounds
D) 89 pounds
Option B is the correct option.
A 10-year-old youngster is having his physical evaluated by the nurse right now. The nurse records that the child weighed 80 pounds during the previous year's checkup. The child's current weight should be around 86 pounds based on growth typical for this age group.
As per the data given in the above question are as bellow,
According to average growth for a 10-year-old boy,
the expected weight gain per year is around 5 to 7 pounds.
Assuming a steady growth rate,
the expected current weight of the child would be:
=80 pounds (last year's weight) + 6 pounds (average weight gain for a 10-year-old boy)
= 86 pounds
Therefore, the expected current weight of the child would be around 86 pounds, which is closest to option B) 85 pounds.
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the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) what is the value of cos b?
The terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².
What is co-terminal angle?The starting side refers to the ray on the x-axis, and the terminal side refers to the other ray. A quadrantal angle is one in which the terminal side is "on" the axis.
The amount of rotation from the initial side to the terminal side is used to calculate the angle. The measurement is positive when done in a anticlockwise manner. The measurement is negative when taken anticlockwise. (A negative value for an angle's measure designates the clockwise "direction" of measurement.)
Coterminal angles are those that share the same terminal side when two angles are in standard position.
Given that, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7).
Using the Pythagoras Theorem:
r² = x² + y²
Substitute the values of x and y:
r² = (-5)² + (14pi)²
r = √25 + 196pi²
The value of cos b is given as:
cos b = x/r
cos b = -5/ √25 + 196pi²
Hence, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².
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What is the conversion of 60in to cm?
Answer:
is 152.4 cm.
we say a definite integral is improper if one is infinite, or if the is infinite.
One _____is infinite, or if
The_______is infinite
From the given data, we say a definite integral is improper if one endpoint is infinite, or if the integrand is infinite.
One endpoint is infinite, or if the integrand is infinite, the definite integral cannot be evaluated using the usual techniques. Instead, we must use the concept of a limit to find the value of the integral, if it exists. In the case where one endpoint is infinite, we take a limit as a variable approaches infinity. In the case where the integrand is infinite, we may need to split the integral into pieces or use some other method to deal with the singularity.
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