Dave rented a limousine for his wife's birthday. The hourly rate is $60. They used the limousine for 3 hours, plus Dave gave the driver a 20% tip. How much did he spend in total for the hourly charges plus tip?
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Two identical trains, each with 31 cars, are traveling in opposite directions. When car Number 19 of one train is opposite car Number 19 of the other, which car is opposite car Number 12?
Answers
Car 12 of Train B is also 12 cars away from Car 19 on Train B.
How to explain the informationSince each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:
31 - 19 = 12
Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.
Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.
In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.
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Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?
Answers
Hey there! I'm happy to help!
The domain is all of the possible x-values and the range is all of the possible y-values.
Let's quickly rearrange our equation so we can plug in x to see what y is.
12x+6y=24
We subtract 12x from both sides.
6y=-12x+24
We divide both sides by six.
y= -2x+4
Since there are three domains we can plug into this equation that can give us one output, we will have three numbers in our range! Let's plug in our x-values to get our three y-values.
y=-2(-4)+4
y=12
y=-2(0)+4
y=4
y=-2(5)+4
y= -6
When writing your range, you order the numbers from least to greatest. We can write this range as {-6,4,12}
Have a wonderful day!
Find the value of (f o g)' at the given value.
Answers
To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.
To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.
What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).
What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.
To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value
step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)
Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)
Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11
Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)
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I need number 7 and 8 answered
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5. A motorist leaves Derby at 10:55 and arrives in Leicester 1 14 hours later. The
distance from Leicester to Derby is 50 miles.
a) At what time did he arrive in Leicester?
b) What was his average speed in mph?
Answers
Answer:
a. 12:10 pm
b. 40 mph
Step-by-step explanation:
Assuming you meant to type 1 ¹/₄ hours later.
a. First convert that to a improper fraction and then a decimal:
= 5/4
= 1.25 hours
1.25 hours in minutes is:
= 1.25 * 60
= 75 minutes
= 1 hour 15 minutes
The motorist left at 10:55.
= 1055 + 1 hour
= 11:55
Add 15 minutes:
= 12:10 pm
b. Speed = Distance / Time
= 50 / 1.25 hours
= 40 miles per hour
the formula S=√SA/6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a coube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
Answers
For a cube with a surface area of 120 square meters, we have:
S = √(120)/6 = √20 ≈ 4.47 meters
For a cube with a surface area of 180 square meters, we have:
S = √(180)/6 = √30 ≈ 5.48 meters
Therefore, the difference in the length of the sides of the two cubes is:
5.48 - 4.47 = 1.01 meters
So the side of the cube with a surface area of 180 square meters is 1.01 meters longer than the side of the cube with a surface area of 120 square meters.
Answer:
1.01 m
Step-by-step explanation:
The following formula gives the side length (s) of a cube with a surface area (SA):
\(s=\sqrt{\dfrac{SA}{6}}\)
If a cube has a surface area of 180 m², then its side length is:
\(s=\sqrt{\dfrac{180}{6}}\)
\(s=\sqrt{30}\; \sf m\)
If a cube has a surface area of 120 m², then its side length is:
\(s=\sqrt{\dfrac{120}{6}}\)
\(s=\sqrt{20}\)
\(s=\sqrt{4 \cdot 5}\)
\(s=\sqrt{4} \sqrt{5}\)
\(s=2\sqrt{5}\; \sf m\)
To calculate how much longer the side of a cube with a surface area of 180 m² is than a cube with the surface area of 120 m², subtract the side lengths:
\(\begin{aligned}\sqrt{30}-2\sqrt{5}&=1.0050896...\\\\&= 1.01\; \sf m\; (nearest\;hundredth)\end{aligned}\)
Therefore, the side of the cube with a surface area of 180 m² is 1.01 m longer than the side of the cube with a surface area of 120 m².
In a survey of 1,600 people who owned a certain type of car, 880 said they would buy that car again. What percent surveyed were satisfied with the car?
Answers
The percent of people satisfied with the survey is 55%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, in a survey of 1,600 people who owned a certain type of car, 880 said they would buy that type of car again, we need to find what percent of the people surveyed were satisfied with the car,
The percent of people satisfied with the survey = 880 / 1600 × 100
= 55%
Hence, the percent of people satisfied with the survey is 55%
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what is linear independent vector
Answers
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
Answers
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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4 = 2/9 (4y - 2)
solve and show work
Answers
steps
distribute the 2/9 to the (), 4=8/9y-4/9
add 4/9 to both sides, 4 and 4/9=8/9y
divide both sides by 8/9
btw 4 and 4/9 as an improper fraction is 40/9
also when dividing a fraction by a fraction you multiply by the reciprocal, 9/8
40/9 x 9/8=5
What is the solution to the equation
2x=5
Answers
Answer:
5/2 or 2.5
Step-by-step explanation:
Divide both sides by 2.
Exit
A. 11
B. 17
C. 23
D. 29
Answers
The numerical expression (45 - 28) - |15 - 21| after simplification gives the value 11.
Given a numerical expression,
(45 - 28) - |15 - 21|
We have to find the value of the expression.
We find the difference of the numbers in the bracket and inside the absolute symbol.
45 - 28 = 17
15- 21 = -6
Absolute value of this is,
|15- 21| = |-6| = 6
So the expression is,
(45 - 28) - |15 - 21| = 17 - 6 = 11
Hence the value is 11.
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The complete question is as given below.
Simplify (45 - 28) - |15 - 21|
A) 11
B) 17
C) 23
D) 29
What is the diameter of a circle that has a radius of 7
inches?
Answers
Answer:
d=14in
Step-by-step explanation:
Solution
d=2r=2·7=14in
Hope this helped!!!
1/2 of 4/3 = 1/2 of ______thirds =______ thirds
Answers
Answer:
four, two
Step-by-step explanation:
1/2 of 4/3 is half of four thirds. Half of four is two, so it would be two thirds
I hope this helps! :)
Which correctly explains how to estimate 33 percent of 87
Answers
Answer:
Round 33 percent to 30 percent and 87 to 90. Think of 30 percent as 10 percent + 10 percent + 10 percent. Find 10 percent of 90 as 9. So, 30 percent of 90 is 9 + 9 + 9, which is 27.
Step-by-step explanation:
Hope you pass! <3
Answer:
The Answer is:
Round 33 percent to 30 percent and 87 to 90. Think of 30 percent as 10 percent + 10 percent + 10 percent. Find 10 percent of 90 as 9. So, 30 percent of 90 is 9 + 9 + 9, which is 27.
Step-by-step explanation:
Please Give Brainliest
..D(-2, 3), E(2, 3), F(2, -3), G(-2,-3) M(-6,-4), N(-6, 4), O(6, 4), P(6, 4) Rectangle DEFG can be mapped onto rectangle by a series of transformations. First, DEFG counterclockwise about the origin. Then DEFG by a scale factor of which equals MN =
Answers
DEFG can be mapped onto rectangle MNOP by series of transformations. First, rotate DEFG 90° counterclockwise about the origin. Then dilate DEFG by a scale factor of 2, which equals to MN/DE
Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answers
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
Amanda tiene 4 bolitas más que Rodrigo, y Patricio tiene una bolita más que el doble de Amanda y Rodrigo juntos. Si en total tienen 103 bolitas, cuantas bolitas tiene Amanda
Answers
Las cantidades de bolitas para cada una de las tres personas son las siguientes:
Amanda: 19 bolitas
Rodrigo: 15 bolitas
Patricio: 69 bolitas
¿Cuántas bolas tienen Amanda, Rodrigo y Patricio?En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:
Amanda
x = y + 4
Rodrigo
y
Patricio
z = 2 · (x + y) + 1
Total
x + y + z = 103
A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:
x + y + 2 · (x + y) + 1 = 103
3 · x + 3 · y = 102
x + y = 34
y + 4 + y = 34
2 · y = 30
y = 15
Luego, determinamos las cantidades de bolitas de Amanda y Patricio:
x = 15 + 4
x = 19
z = 2 · (19 + 15) + 1
z = 2 · 34 + 1
z = 68 + 1
z = 69
ObservaciónEl enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.
The statement is written in Spanish and the language used in the answer is the same of the statement.
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The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
Answers
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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Express sin A, cos A, and tan A as ratios.
Answers
Answer: B.
Step-by-step explanation: SIN = Opposite/Hypotenuse COS = Adjacent/Hypotenuse, and TAN = Opposite/Adjacent or SIN/COS.
3y + 1 = 4y - 6 Please solve!
Answers
Answer:
y = 7
Step-by-step explanation:
3y + 1 = 4y - 6
-3y -3y
1 = y - 6
+6 +6
7 = y
Answer:
7 = y
3y + 1 = 4y - 6
-3y. -3y
------------------
1 = 1y - 6
+6 +6
------------------
7 = y
The graph models the value of an automobile over a 7 year period of time.
Which equation best represents the relationship between x, the age of the automobile in years, and y, the value of the automobile in dollars
Answers
Answer:
y=-500x+22,000
Step-by-step explanation:
It's this one because the 22,000 shows the initial value of the automobile and -500x is how much value the automobile loses per year.
Answer:
Y = mx + c
C = 22,000
But slope is unknown
Y= mx + 22000
14Y - 7y = 35. solve for y
Answers
Answer:
y = 5
Step-by-step explanation:
\(14y-7y=35\\7y=35\\y=5\)
14 minus 7 is 7
7Y is equal to 35
divide both sides by 7 is equal to 5
=
Perform the following metric-metric conversion.
195 km/h to m/min
=m/min
195 km/h =
***
Answers
The metric conversion from 195 km/h to m/min is; 3250 m/min
How to carry out Metric conversions?The basic metric conversion units are meters (for length), grams (for mass or weight), and liters (for volume).
Now, the metric unit of conversion from km/h to m/min is;
1 km/h = 50/3 m/min
Thus;
195 km/h = (195 * 50)/3
= 3250 m/min
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Help The equation 4x − 4 = 2x represents two electric scooters traveling in opposite directions, where x represents the distance in miles between the scooters. What is the distance, in miles, between the scooters?
*
1 point
x = 0.5
x = 2
x = 4
x = 8
Answers
The distance in miles between the two electric scooters travelling in opposite direction is 2 miles.
What is an equation?An equation is a formula that proves the equality of two mathematical expressions in algebra and is the most commonly used formula. For example, in the expression 3x + 5 = 14 the two terms 3x + 5 and 14 are separated by the "equals" symbol.
What is distance?
The length or width in between two objects, points, lines, etc. Distance is the condition or fact that something or someone is physically apart.
Given 4x - 4 = 2x,
so 2x = 4
x = 2
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what is the answer for this question? i will mark as brainliest
Answers
Answer:
45 degrees, 135 degrees, 225 degrees, 315 degrees
Step-by-step explanation:
x = 45 degrees + k * 90 degrees
t^3-4t^2-.5t+2=0
t = 4
t = 2^.5/2
cosx=2^.5/2
Let f(x) = 3x - 6 and g(x) = -5x + 7.
What is f+g?
Answers
Answer:
f+g = -2x+1
Step-by-step explanation:
Hey there! I will make your learning easier and clearer! If you have any doubts or questions, feel free to comment below!
We are given both functions:
\( \displaystyle \large{f(x) = 3x - 6} \\ \displaystyle \large{g(x) = - 5x + 7}\)
Since we want to find f+g which also means (f+g)(x), we just combine both functions!
\( \displaystyle \large{f + g = (3x - 6) + ( - 5x + 7)}\)
Cancel all brackets and combine like terms!
\( \displaystyle \large{f + g = 3x - 6 - 5x + 7} \\ \displaystyle \large{f + g = - 2x + 1} \\ \)
From above, combine 3x-5x = -2x and -6+7 = 7-6 = 1.
Still don't get it? Let's say we simply combine both functions or add both functions when we want to find f+g.
Ex.
For example, we are given f(x) = x+2 and g(x) = 2x+1. Find f+g.
We simply combine both functions and thus:-
f+g = x+2+2x+1
f+g = 3x+3 { 3(x+1) }
Answer:
f+g = 2x+1
Step-by-step explanation:
...............
Write an equation of the circle with center (-6, -8) and diameter 12.
Answers
Answer:
Answer of equation: -6-8=12
Question 22 of 25
Add.
4x -5x+3
2x* +7X-8
OA. 6x- 2x+5
OB. 6x + 2x-5
OC. 6x+ 12x-5
D. 6x 2x+11
Answers
Answer
B
Step-by-step explanation:
Is the answer !
Answer:
The answer is B
Step-by-step explanation:
YEAH its is, And god is GIOD
What is the present value of an investment that will be worth $7000 at the end of five years? Assume an APR of 6% compounded monthly. (Round your answer to the nearest cent.)
Answers
The Solution:
Let the present value of the investment be represented with P.
We shall use the formula below:
\(\begin{gathered} A=P(1+\frac{r}{100\alpha})^{n\alpha} \\ \text{Where} \\ A=\text{amount (after 5years)}=\text{ \$7000} \\ r=rate\text{ (in \%)=6 \%} \\ n=\text{ number of years =5 years} \\ \alpha=\text{ number of periods per annum =12} \\ P=\text{ Principal = initial investment=?} \end{gathered}\)Substituting these values in the formula above, we get
\(\begin{gathered} 7000=P(1+\frac{6}{100\times12})^{(5\times12)} \\ \\ 7000=P(1+\frac{6}{1200})^{60} \end{gathered}\)So,
\(\begin{gathered} 7000=P(1+0.005)^{60} \\ \\ 7000=P(1.005)^{60} \\ \text{Dividing both sides by 1.005}^{60},\text{ we get} \\ P=\frac{7000}{1.005^{60}}=\frac{7000}{1.348850153}=5189.605\approx\text{ \$5189.61 (518961cent)} \end{gathered}\)Thus, the present value of the investment that will yield $7000 at the end of 5 years is $5189.61 (or 518961 cents )
Therefore, the correct answer is $5189.61 (or 518961 cents )