First, we have to round each number to the nearest ten.
\(\begin{gathered} 67\approx70 \\ 42\approx40 \\ 19\approx20 \\ 23\approx20 \end{gathered}\)Then, we add all the rounded numbers.
\(70+40+20+20=150\)Therefore, an estimated sum is 150.A right triangle has one leg 3 meters long and a hypotenuse 5 meters long. What is the length of the other leg? A. 4 m B. 5 m C. 15 m D. 25 m
Answer:
A
Step-by-step explanation:
Using the Pythagorean Theorem, you can find that the length of the final leg is:
\(\sqrt{5^2-3^2}=\sqrt{25-9}=\sqrt{16}=4\)
Therefore, the answer is A. Hope this helps!
a)
b)
1. Convert the following Mayan numbers to
decimal (base 10).
: :|| :||
The given Mayan number which is : :|| :|| in decimal (base 10) is 42.
The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).
To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.
The Mayan number given, : :|| :||, can be broken down as follows:
The leftmost position has no symbol, which represents a value of 0.
The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.
The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.
The given Mayan number in decimal (base 10) is 40 + 2 = 42.
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Complete question is:
Convert the following Mayan number to decimal (base 10).
: :|| :||
can you help me?
(4n+13)+(6+7n)
i will mark brailest first to answer correct if you tell how to do it??
Answer:
11n + 19
Step-by-step explanation:
The parentheses can be removed immediately without affecting the clarity of this expression:
4n + 13 + 6 + 7n
Next we combine like terms, obtaining:
11n + 19
\(\huge\textsf{Hey there!}\)
\(\large\textsf{(4n + 13) + (6 + 7n)}\\\\\large\textsf{ = 4n + 13 + 6 + 7n}\\\\\large\textsf{COMBINE the LIKE TERMS}\\\\\large\textsf{(4n + 7n) + (13 + 6)}\\\\\large\textsf{4n + 7n = \boxed{\large\textsf{\bf 11n}}}\\\\\large\textsf{13 + 6 = \boxed{\large\textsf{\bf 19}}}\\\\\\\boxed{\huge\textsf{= 11n + 19}}\)
\(\boxed{\boxed{\huge\textsf{Answer: \bf 11n + 19}}}\huge\checkmark\)
\(\large\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Please Help ASAP IT'S DUE TODAY!!
140 ÷ 20 = 7
7 × 15 = 105
24
6 1/2
Find the missing length of the triangle.
12 cm
15 cm
Answer: 9
Step-by-step explanation:
Simplify (3m^5)^2. need help
Answer:
6m^10?
Step-by-step explanation:
How many 3/2 are in 5
The number of times the fraction number 3/2 in 5 will be 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Let 'x' be the number of times of 3/2. Then the equation is given as,
(3/2)x < 5
x < 10/3
x < 3.333
The number of times the fraction number 3/2 in 5 will be 3.
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Match to the correct one
Answer:
1. b_ 2. a_ 3. c_ 4. d
Step-by-step explanation:
1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.
Write 2x - x2 = 1 in standard form.
An equation in standard form is
Answer:
X^2-2X+1=0
Step-by-step explanation:
given,2X-X^2=1
or,-(X^2-2X)=1
or,X^2-2X=-1
or,X^2-2X+1=0 ,which is the req.equation in standard form.
A particular extension cord can support up to 8 amps. Martino has an iron whose label states 720 watts, and he wonders if the iron can be plugged into the extension cord. If watts are converted to amps by dividing by 144, how many amps does the iron use?
Answer:
Step-by-step explanation:
Remark
To convert watts to amps, divide the watts by the amps
Givens
720 watts
8 amps (maximum safety of extension chord)
144 conversion factor
Solution
Amps = 720 watts / 144
Amps = 5
Answer
The iron uses 5 amps of current.
The extension chord is safe to use since 5 is less than 8
Answer:
720÷144=5 AMPS
Step-by-step explanation:
5ANSWER
g A bag contains 7 nickels, 2 dimes, and 8 quarters. If you draw 3 coins at random from the bag, without replacement, what is the probability that you will get a nickel (N), a quarter (Q), and a nickel (N), in that order
Answer: sdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
Use the graph of g(x) to answer the following question.
The graph of g(x) is a translation of f(x) = x^2
Write the equation for g(x) in vertex form.
The graph of the translated function is g ( x ) = ( x + 5 )² + 2
Given data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x²
On simplifying , we get
The function is translated 5 units to the horizontal left direction:
And , when the function is translated 2 units in the vertical upward direction:
So , the translated function is
g ( x ) = ( x + 5 )² + 2
Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)
Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2
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An item is regularly priced at $29. It is on sale for 80% off the regular price.
Alan ran for president of the chess club and he received 27 votes there were 60 members in the club what percentage of the club members voted for Alan
Answer:
45%
Step-by-step explanation:
27/60 x 100
.45 x 100
45
Which of the following lists of data has the largest standard deviation? Select the correct answer below: A. 9, 11, 13, 10, 13, 13, 13, 9, 9, 10B. 24, 15, 21, 23, 9, 22, 12, 21, 20, 13 C. 15, 18, 18, 18, 18, 15, 15, 15, 16, 16 D. 23, 24, 23, 24, 26, 25, 26, 23, 26, 24 E. 10, 12, 13, 11, 11, 14, 14, 11, 12, 12
Standard deviation expresses the amount by which the values of the terms in a group differ from the value of the mean. We would determine the mean of each set of numbers.
A. Mean = (9 + 11 + 13 + 10 + 13 + 13 + 13 + 9 + 9 + 10)/10 = 11
The least difference is 1 and the highest difference is 2
B. Mean = (24 + 15 + 21 + 23 + 9 + 22 + 12 + 21 + 20 + 13)/10 = 18
The least difference is 2 and the highest difference is 9
B. Mean = (24 + 15 + 21 + 23 + 9 + 22 + 12 + 21 + 20 + 13)/10 = 18
The least difference is 2 and the highest difference is 9
C. Mean = (15 + 18 + 18 + 18 + 18 + 15 + 15 + 15 + 16 + 16)/10 = 16.4
The least difference is 0.4 and the highest difference is 1.6
D. Mean = (23 + 24 + 23 + 24 + 26 + 25 + 26 + 23 + 26 + 24 )/10 = 24.4
The least difference is 0.4 and the highest difference is 1.6
D. Mean = (10 + 12 + 13 + 11 + 11 + 14 + 14 + 11 + 12 + 12)/10 = 12
The least difference is 0 and the highest difference is 2
Looking at the results, we can see that option B has the highest difference. The difference of the values of the terms and that of the mean is greatest. There is more spread and it means that it has the largest standard deviation.Therefore,
the correct option is B
Calc I Question help
The way the question is phrased, it sounds like the height stays fixed at 18 in. If L and W denote the raft's length and width, respectively, then its volume V is given by
V = 18 L W
Differentiating both sides with respect to time t gives
dV/dt = (18 in) W dL/dt + (18 in) L dW/dt
We're told that dL/dt = -1 in/s and dW/dt = -2 in/s, so that at the moment L = 11 in and W = 4 in, the volume is changing at a rate of
dV/dt = (18 in) (4 in) (-1 in/s) + (18 in) (11 in) (-2 in/s)
dV/dt = -468 in³/s
so the raft is losing air at a rate of 468 in³/s. (Note that "losing" captures the negative sign from before.)
In a particular class of 32 students, 11 are men. What fraction of the students in the class are men?
Please help.
Answer:
11/32 of the students are men.
Step-by-step explanation:
Since there are 11 male students and 32 total, we can use the number 11 as the numerator, and 32 as the denominator.
\(\frac{11}{32}\)
The fraction of male students in the class is 11/32.
What is meant by fraction?A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.
Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line. It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line.
11/32 is the fraction of the students in the class that are men.
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1 is subtracted from 8 times a certain number.the result is 15.find the number
Answer:
number is 2
Step-by-step explanation:
let the number be n then 8 times the number is 8n, subtract 1 from this and
8n - 1 = 15 ( add 1 to both sides )
8n = 16 ( divide both sides by 8 )
n = 2
that is the number is 2
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Sarah has two pizzas each pizza is cut into 10 equal slices she and her friends 14
slices what part of the pizza did they eat and how much is left right your answer as a decimal
1. (My) madre es de Lima, Perú.
Mis
Tu
Mi
2. Pedro es (her) hermano gemelo.
Vuestro
Su
Tu
3.(Your, familiar) hermana es ingeniera.
Tus
Su
Tu
4. Adela y Ana son (your, familiar) primas.
Nuestras
Sus
Tus
5. Sandra es (my) estudiante de inglés.
Nuestra
Mi
Su
6. Ellos son (our) profesores.
Nuestros
Tus
Sus
7. Jaime y David son (my) amigos.
Tus
Mi
Mis
8. (Our) clase es a las once.
Su
Nuestro
Nuestra
9. (His) primo es periodista.
Mi
Su
Tu
10. Candela es (their) madre.
Tu
Mi
Su
11. (Our) profesor es de Chile.
Su
Vuestro
Nuestro
English literature refers to the body of written or literary works composed in the English language.
It encompasses a wide range of literary genres, styles, and periods, and it has a rich and diverse history that spans centuries.
English literature includes literary works originating from countries like England, the United States, Canada, Australia, and other English-speaking regions.
English literature plays a significant role in the cultural and literary heritage of English-speaking societies, and its influence extends globally. Studying English literature allows individuals to explore different themes, ideologies, and literary techniques while gaining insights into the human condition across various historical and cultural contexts.
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There is an installation fee to join the Pine River country club as well as monthly dues the total cost of her seven month membership will be $3200 and after one and a half years $3970 find both the intuition feet and the monthly dues
Answer:
Monthly charges = $70
Intuition charges = $2710
Step-by-step explanation:
There is intuition fee and per month fee for joining the Pine River country club.
Total cost for 7 months is $3200
Total cost for one and a half years is $3970
one and a half years means 18 months.
To find:
Intuition fee and monthly dues?
Solution:
Let the intuition fee = \(i\)
Let the monthly dues = \(m\)
Total cost for 7 months can be represented as
\(i+7m = 3200\) ..... (1)
Total cost for 18 months can be represented as
\(i+18m = 3970 .... (2)\)
Here, we have 2 equations and 2 variables whose values are to be found.
Let us use elimination method to solve the equations.
Subtracting equation (1) from (2):
\(11m = 770\\\Rightarrow m = 70\)
Therefore, the monthly dues are $70.
Using equation (1), we can find the value of \(i\).
\(i + 70\times 7 = 3200\\\Rightarrow i = 3200 - 490\\\Rightarrow i = \$2710\)
Therefore, intuition charges are $2710.
the numbers 1-12 are written on a card and placed in a bag. what is the probability that a number divisible by 3 is drawn? What represents its compliment?
The probability that a number divisible by 3 is drawn is 0.333
Compliment= 0.666
A integer is said to be divisible by three if three can be subtracted from it without leaving a residual. For instance, 3 perfectly divides into 6 twice, whereas 3 divides into 7 with 1 residual. So, whereas 7 is not divisible by 3, 6 is.
Which of the digits 1 through 12 is divisible by three? (1) Isn't, (2) Isn't, (3) Is, (4) Is, (5) Is, (6) Is, etc.
[3,6,9, and 12 may be divided into 4 equal halves]
From 1 to 12, how many numbers are there in total?
[12]
The fraction of those two integers is your response.
[4/12] = 1/3 = 0.333
compliment = 2/3 = 0.666
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HELP!!
A cyclist rides his bike at a speed of miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in seconds? In your computations, use the fact that mile is equal to feet. Do not round your answers.
Lets convert
1mile=5280ft1h=3600s\(\\ \rm\longmapsto 1mph\)
\(\\ \rm\longmapsto \dfrac{5280}{3600}ft/s\)
\(\\ \rm\longmapsto 1.46ft/s\)
If rounded
\(\\ \rm\longmapsto 1.5ft/s\)
The average monthly income of three persons is rs. 3,600. If the income of the first is 1/5 of the combined income of the other two then his monthly income is
The monthly income of the first person is $600.
Given that, the average monthly income of three persons is RS 3,600.
The income of the first is 1/5 of the combined income of the other two.
Here, Let income of the first be A, let income of the second be B and let Income of the third be C.
A+B+C=3600 -----(i)
Income for the first person = 1/5(B+C) -----(ii)
Substitute equation (ii) in equation (i), we get
(B+C)/5 +B+C =3600
B+C+5B+5C=3600×5
6B+6C=18000
6(B+C)=18000
B+C=3000 ------(iii)
Substitute (iii) in equation (i), we get
A=$600
Therefore, the monthly income of the first person is $600.
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A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
Which best describes the complement of choosing a red marble?
A. Choosing a green or blue marble
B.Choosing any marble
C.choosing a blue, green, or yellow marble
D.choosing a yellow marble
Answer:
d
Step-by-step explanation:
If the area of a square inscribed in a circle is
25, what is the area of the circle?
The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.
To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.
When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.
We are given that the area of the square is 25, so we can find the side length of the square:
Area of square = \(s^2 = 25\)
Taking the square root of both sides, we get:
s = √25 = 5
Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:
Diagonal = Diameter = s√2 = 5√2
The radius of the circle is half the diameter, so:
Radius = 5√2 / 2 = (5√2)/2
Now, we can calculate the area of the circle using the formula:
Area of circle = \(\pi r^2\)
Substituting the value of the radius, we get:
Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2
Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.
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Anything helps :) thank you
Answer:
the first one is (23)
number 7 is ( 34.069)
Step-by-step explanation:
I need help on this question, I can't seem to understand piecewise functions!! ITS SO HARD.
Answer:
\(f(x)\left \{ {{3x+1 if x\leq 0} \atop {-3x+1 if x>0}} \right.\)
Step-by-step explanation:
So if we first graph the given equation, we'll see the graph I've attached below.
Remember that piecewise functions are functions that change based on the circumstances. I know that sounds super confusing, but it's actually really simple!
In this case, for example, we see the line increasing from -∞ to \(0\), and then suddenly going downwards and decreasing. That's a good spot for us to notice because that indicates a change. We notice that the function looks different when \(x<0\) or \(x>0\). If you break the function into those two parts, you see that they are just linear equations, but they're only visible when x is either greater than or less than 0.
Now that we notice this pattern, we can find the equation of the lines for both lines.
The points (-3,-8) and (-1,-2) are points on the first line, the one that increases (on the left). We can use those points to find the slope of the first line. Remember the slope equation:
\(m=\frac{y2-y1}{x2-x1}\)
Plug in your points:
\(m=\frac{-2-(-8)}{-1-(-3)}\)
\(m=\frac{6}{2}\)
\(m=3\)
So, the slope of the first line is 3. The y-intercept, looking at the graph, is 1. The equation of the first line is \(y=3x+1\). We'll need this later.
Let's do the same thing for the second line. Just looking at the graph, we can see that this is the same exact line, just with a negative slope. So, the equation for the second line is \(y=-3x+1\).
So now we can set up a piecewise function.
\(f(x)\left \{ {{3x+1} \atop {-3x+1}} \right.\)
The two functions in the bracket are the two different functions used in this graph. Now we need to figure out where each function is effective. Well, they share a y-intercept. Remember that a true function cannot have two points with the same x value. So the first function is effective to the left of x=0, while the second is effective to the right of x=0. In other words, when \(x\leq 0\), \(f(x)=3x+1\). But, when \(x>0\), \(f(x)=-3x+1\). Now our piecewise function looks like this:
\(f(x)\left \{ {{3x+1 if x\leq 0} \atop {-3x+1 if x>0}} \right.\)
And that is our piecewise function for the original function.
I know this is confusing, so please let me know if you have any questions! I hope this helps!
Help me please!!!!!!!!
Answer:
The ratios are not equal, so this is not a dilation.
Step-by-step explanation:
4/3 is the first ratio
3/4 is the second ratio
Since these ratios are not equal there is not a dilation.