Answer:
C. Binary Data
Step-by-step explanation:
Irene y Alejandro tienen 73 libros irene tiene el doble que Alejandro mas 1 cuantos libros tiene cada uno?
Irene has 49 Books, and Alejandro has 24 books.
Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:
1. Irene has twice as many books as Alejandro plus 1:
x = 2y + 1
2. The total number of books between Irene and Alejandro is 73:
x + y = 73
We can now solve this system of equations to find the values of x and y.
Substituting the value of x from equation (1) into equation (2), we have:
(2y + 1) + y = 73
3y + 1 = 73
3y = 72
y = 24
Now, we can substitute the value of y into equation (1) to find x:
x = 2(24) + 1
x = 49
Therefore, Irene has 49 books, and Alejandro has 24 books.
To verify our solution, we can check if the sum of their books equals 73:
49 + 24 = 7
So, our solution is correct.
In conclusion, Irene has 49 books, and Alejandro has 24 books.
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Savannah is working on a personal balance sheet. She has $675 in a
checking account, $350 in a savings account, $725 in government bonds,
and $2500 in stocks. How much does Savannah have in investments?
Answer:
4250
Step-by-step explanation:
Add all
Which of the following equations demonstrate that the set of polynomials is
not closed under the certain operations?
A. Subtraction: (3x^4+x^3)-(-2x^4+x^3)=5x^4
B. Addition: (x^2+x)+(x+1)=x^2+2x+1
C. Division: (x^2-5x+3)÷(x-2)=x-3+-3/x-2
D. Multiplication: (x^2-5x+3)(x-5)=x^3-10x^2+28x-15
9514 1404 393
Answer:
C. Division: (x^2-5x+3)÷(x-2)=x-3+-3/x-2
Step-by-step explanation:
The set of polynomials is closed under all basic arithmetic operations except division. The reciprocal of a (non-constant) polynomial is not a polynomial.
The division example shown in choice C illustrates the set is not closed under division.
Find the midpoint of each line segment.
Answer:
(1.5, 0.5)
Step-by-step explanation:
(5, 3) and (-2, -2)
5 - 2 / 2 = 1.5
-2 + 3 / 2 = 0.5
If room A is cleaned every 9 days but room B ls cleaned every 6 days what is The fewest number of days that will pass before both rooms are cleaned \(lf room a is cleaned every 9 days but room B is cleaned every 6 days what is the fewest number of days
Therefore, both rooms will be cleaned together after 18 days. After 18 days, room A will have been cleaned twice and room B will have been cleaned three times.
What is least common multiple?Finding the smallest common multiple between any two or more numbers is done using the least common multiple (LCM) approach. A number that is a multiple of two or more other numbers is said to be a common multiple.
We want to find the least common multiple (LCM) of 6 and 9, which is the smallest number that is divisible by both 6 and 9.
To find the LCM, we first list the multiples of each number until we find a common one:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, ...
We can see that 18 is the smallest number that appears in both lists, so the LCM of 6 and 9 is 18.
Therefore, both rooms will be cleaned together after 18 days. After 18 days, room A will have been cleaned twice and room B will have been cleaned three times.
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With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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FIAT LEXUS ES $55,000 at 8% with annual $55,000 at 10% compounded simple interest for 3 years annually for 24 months Mercedes. Which car is the cheapest? Benz drag your answerinere AUDI $55,000 at 4.8% with annual simple interest for 36 months $55,000 at 4% compounded annually for 48 months
The formula for the amount of car with principal value of P, annual rate r simple intrest and time t is,
\(A=P+\frac{P\cdot r\cdot t}{100}\)Determine the amount of Fiat and Mercedes-Benz.
\(\begin{gathered} A_F=55000+\frac{55000\cdot8\cdot3}{100} \\ =55000+13200 \\ =68200 \end{gathered}\)For Mercedes-Benz, time of 36 months is equal to 3 year.
\(\begin{gathered} A_M=55000+\frac{55000\cdot4.8\cdot3}{100} \\ =55000+7920 \\ =62920 \end{gathered}\)The formula for the amount in compounr intrest is,
\(A=P(1+\frac{r}{100})^t\)Determine the amount for cars Lexus and Audi.
24 months is equivalne to 2 years.
\(\begin{gathered} A_L=55000(1+\frac{10}{100})^2 \\ =55000(1.1)^2 \\ =66550 \end{gathered}\)For Audi, 48 months is equaivalent to 4 years.
\(\begin{gathered} A_A=55000\cdot(1+\frac{4}{100})^4 \\ =55000\cdot(1.04)^4 \\ =64342.22 \end{gathered}\)So the minimum amount is $62920. Thus cheapest car is Mercedes-Benz.
Suppose that A student has filled a 5-inches wide, 4 inches deep, and 3 inches tall box with 1-inch by 1-inch cubes. What is the simplest most direct way for them to determine the volume of this box? What is the volume?
Answer:
1) the most direct way is to use the normal volume formula for cubes/rectangular prisms
2)60 inches cubed
Step-by-step explanation:
Volume=length x width x height
V=4x5x3
V=20x3
V=60
therefore the volume is 60 inches ^3
PLEASE HELP CORRECT ANSWERS ONLY 20 POINTS
I have a prism with the dimension of 6cm by 12cm by 15 cm. Calculate the volume of the prism, and then give the dimensions of three different prisms that each have 1/3 of thr volume.
Prism 1
Prism 2
Prism 3
Answer:
Volume = 1080 cubic cmPrism 1 = 2 cm by 5 cm by 36 cmPrism 2 = 3 cm by 10 cm by 12 cmPrism 3 = 4 cm by 6 cm by 15 cm====================================================
Explanation:
To find the volume of the current prism, we multiply length width and height to get 6*12*15 = 1080
Take 1/3 of this to get (1/3)*1080 = 360
To find three different prisms where they have a volume of 360, we just need to think of ways to multiply to 360 using 3 numbers.
Here are some possibilities:
2 * 5 * 36 = 3603 * 10 * 12 = 3604 * 6 * 15 = 3604 * 9 * 10 = 3608 * 9 * 5 = 360There are other possibilities as well, but you only need to pick three from that list. Or you can come up with other combos as well as long as the three numbers multiply to 360.
If we go with the first three rows for prisms 1, 2, and 3 in that exact order, then
prism 1 has dimensions: 2 cm by 5 cm by 36 cmprism 2 has dimensions: 3 cm by 10 cm by 12 cmprism 3 has dimensions: 4 cm by 6 cm by 15 cmConvert 110 kilograms to pounds. (1 kilogram = 2.204 pounds)
110 kilograms is equal to 242.44 pounds.
To convert kilograms to pounds, you can use the conversion factor:
1 kilogram = 2.204 pounds.
Given that you want to convert 110 kilograms to pounds, you can multiply 110 by the conversion factor:
110 kilograms x 2.204 pounds/kilogram = 242.44 pounds
Therefore, 110 kilograms is equal to 242.44 pounds.
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find the distance between the two points in simplest radical form (9,2) (4,-7)
Answer:
√50
Step-by-step explanation:
To solve, use distance formula.
√(9-4)^2 + (2-(-7))^2=
√5^2+5^2=
√50
find the area of the figure
Check the picture below.
so the figure is really a 6x21 rectangle, a 2x2 square, and a couple of quarter of a circle whose radius is 2, now, if put two quarters together, we get half, so both of those quarter circles add up to just a semi-circle with a radius of 2.
\(\stackrel{\textit{\huge Areas}}{\stackrel{rectangle}{(6)(21)}~~ + ~~\stackrel{square}{(2)(2)}~~ + ~~\stackrel{two~\frac{1}{4}~circle}{\cfrac{1}{2}\pi (2)^2}}\implies 126+4+2\pi \implies 130+2\pi\)
Find a. the mean b. the deviation from the mean for each data item: and c. the sum of the deviations in part b. 146, 153, 155, 160, 161
Answer:
a. The mean of the data set is:
(146 + 153 + 155 + 160 + 161) / 5 = 155
b. The deviation from the mean for each data item is:
146 - 155 = -9
153 - 155 = -2
155 - 155 = 0
160 - 155 = 5
161 - 155 = 6
c. The sum of the deviations from the mean is:
-9 + (-2) + 0 + 5 + 6 = 0
Note that the sum of the deviations from the mean is always zero, since the positive deviations cancel out the negative deviations.
Please name the sides on the triangle below
A spinner with 12 equally sized slices has 5 blue slices and 7 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice
Answer:
0
There are no red slices, so the probability is 0.
Suppose that the functions u and w are defined as follows :
u(x)= x^2+6
w(x)= \sqrt{x+9}
Find the following:
(u o w) (7) =
(w o u) 7) =
Answer:
(u o w) (7) = 22
(w o u) 7) = 8
Step-by-step explanation:
We are given:
\(u(x)= x^2+6\\w(x)= \sqrt{x+9}\)
We need to find:
a) (u o w) (7)
First we will find (u o w) (x) and then we will find (u o w) (7)
We know that (u o w) (x) = u(w(x))
Put value of w(x) into u(x)
we have:
\(u(x)=x^2+6\\Put\: x =\sqrt{x+9}\\u(w(x))=(\sqrt{x+9})^2+6\\u(w(x))=x+9+6\\ u(w(x))=x+15\)
Now finding (u o w) (7)
We know that: (u o w) (7) = u(w(7))
\(u(w(x))=x+15\\Put\:x=7\\u(w(7))=7+15\\u(w(7))=22\)
So, (u o w) (7) = 22
b) (w o u) (7)
First we will find (w o u) (x) and then we will find (w o u) (7)
We know that (w o u) (x) = w(u(x))
Put value of u(x) into w(x)
we have:
\(w(x)= \sqrt{x+9}\\Put\:x=x^2+6\\w(u(x))= \sqrt{(x^2+6)+9}\\w(u(x))= \sqrt{x^2+6+9}\\w(u(x))= \sqrt{x^2+15}\)
Now finding (w o u) (7)
We know that (w o u) (7) = w(u(7))
\(w(u(x))= \sqrt{x^2+15}\\Put\:x=7\\w(u(7))= \sqrt{(7)^2+15}\\w(u(7))= \sqrt{49+15}\\w(u(7))= \sqrt{64}\\w(u(7))= 8\)
So, (w o u) (7) = 8
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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Raghav scod18 out of 20 in the method test his friends only scored 22 out of 25 in the English test who scored more and by how much
Answer:
sorry but I really don't know the answer
Step-by-step explanation:
Answer Please
F(x)=5x-1
Answer:
-1
Step-by-step explanation:
Correct option is A)
Given,
f(x)=5x−1
To find: f(0)
Put x=0 in the given eqation.
Therefore, we get
f(0)=5(0)−1
=0−1
=−1
The vertices of a rectangle are plotted on the coordinate grid shown.
A graph with the both the x and y-axes numbered starting from negative 8 with units of one up to 8. There are points plotted at negative 4, 5, at 5, 5, at negative 4, negative 4, and at 5, negative 4.
What is the area of the rectangle shown?
81 square units
80 square units
40.5 square units
40 square units
The area of the rectangle is 81 square units. (option a)
To find the area of a rectangle, we need to know its length and width. We can determine these values by looking at the difference between the x-coordinates and the y-coordinates of the vertices.
In this case, we have the following coordinates: (-4,5), (5,5), (-4,-4), and (5,-4).
The length of the rectangle is the difference between the x-coordinates of the left and right vertices:
=> 5 - (-4) = 9.
The width is the difference between the y-coordinates of the top and bottom vertices:
=> 5 - (-4) = 9.
To find the area of the rectangle, we multiply its length by its width:
=> 9 x 9 = 81.
So, the correct answer is the (a), 81 square units.
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Which is an equation of the line that passes through
the points (5, 2) and (10, -3)?
Answer:
y = -x + 7
Step-by-step explanation:
Hi there!
We are given the following points:
(5,2) and (10,-3)
We want to find the equation of the line that passes through these 2 points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).
First, let's find the slope of the line.
The slope can be calculated from 2 points using the equation \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.
\(x_1=5\\y_1=2\\x_2=10\\y_2=-3\)
Now substitute these values into the formula to find the slope
m=\(\frac{y_2-y_1}{x_2-x_1}\)
m=\(\frac{-3-2}{10-5}\)
Simplify
m=\(\frac{-5}{5}\)
Divide
m=-1
The slope of the line is -1
We can substitute this value as m in y=mx+b.
Here's the equation of our line so far:
y=-x+b
Now we need to find b
As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b
Taking (5,2) for example:
Substitute 5 as x and 2 as y
2=-5+b
Add 5 to both sides
7=b
Substitute 7 as b in the equation
y = -x + 7
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Let (- 5, 2) be a point on the terminal side of . Find the exact values of sin theta , csc(theta) , and cot theta
Answer:
Below
Step-by-step explanation:
The length of the hypotenuse is √[(-5)^2 + 2^2]
= √29.
sin theta = 2 /√29
csc theta = 1 / 2/√29 = √29/2
cot theta = -5/2.
Hence, the value of sin,cos and cot is \(\frac{2}{\sqrt{29} }\), \(\frac{5}{\sqrt{29} }\), \(\frac{5}{2}\) respectively.
What is the terminal side?Positive Angles: Positive angles are angles such that their initial side is the positive x-axis and their “terminal” side is determined by turning in a counterclockwise direction.
How to solve?If (-5,2) is the terminal point, the,
base = 5
height = 2
hypotenuse = \(\sqrt{5^2 + 2^2}\)
= \(\sqrt{29}\)
Now,
sin(theta) = \(\frac{perpendicular}{hypotenuse}\) = \(\frac{2}{\sqrt{29} }\)
cos(theta) = \(\frac{base}{hypotenuse}\) = \(\frac{5}{\sqrt{29} }\)
cot(theta) = \(\frac{base}{perpendicular}\) = \(\frac{5}{2}\)
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Solve:
20/x =2
a. x = 40
c. x = 20
b. x = 10
d. x = 15
answer is B. x=10
Answer:
b. x=10
Step-by-step explanation:
20/x=2
To get the 20 onto the other side and the x by itself, multiply both sides by 20.
x=20/2
x=10
the sum of the first 10 terms of an AP is four times the sum of the first 5 terms then the ratio of the first term to the common difference is
Answer:
The ratio of the first term to the common difference is 1 : 2
Step-by-step explanation:
The rule of the sum of the AP is
\(S_{n}=\frac{n}{2}[2a+(n-1)d]\) , where
a is the first number
d is the common difference
n is the position of the number
∵ \(S_{10}\) = 4 × \(S_{5}\) ⇒ (1)
→ Find \(S_{10}\) and \(S_{5}\)
∵ In \(S_{10}\) n = 10
∴ \(S_{10}=\frac{10}{2}[2a+(10-1)d]\)
∴ \(S_{10}=5[2a+9d]\)
∴ \(S_{10}\) = 10a + 45d ⇒ (2)
∵ In \(S_{5}\) n = 5
∴ \(S_{5}=\frac{5}{2}[2a+(5-1)d]\)
∴ \(S_{5}=2.5[2a+4d]\)
∴ \(S_{5}\) = 5a + 10d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 10a + 45d = 4[5a + 10d]
∴ 10a +45d = 20a + 40d
→ Subtract 40d from both sides
∴ 10a + 45d - 40d = 20a + 40d - 40d
∴ 10a + 5d = 20a
→ Subtract 10a from both sides
∴ 10a - 10a + 5d = 20a - 10a
∴ 5d = 10a
→ Divide both sides by 5
∴ d = 2a
→ That means d is twice a or a is half d
∴ a : d = 1 : 2
The ratio of the first term to the common difference is 1 : 2
Three fourths of the student body attended the pep rally. If there were 1230 students at the pep rally, how many students are there in all?
Answer:
Step-by-step explanation:
First, take 1230 and multiply it by .75 (3/4 in decimal form). You should have the number 922.5 at this point.
3/4 of the student body is equal to 922.5
1 How many students are cleaning 96 desks if each student cleans 4 desks? a) Write an equation using a symbol for the unknown. b) Find the answer to the question and show your reasoning.
Given data:
The numbers of desk clean by a students are 4.
(a)
The expression for the given statement is,
\(1\text{ s= 4 d}\)Here, s is the student and d represents desk.
(b)
Multiply 24 on both sides.
\(\begin{gathered} 24(\text{ 1 s)=24(4 d)} \\ 24\text{ s =96 d} \end{gathered}\)Thus, for cleaning 96 desks 24 students needed.
Please help!! I have trouble in math and will give points and thanks for this!!
Answer:
-5
Step-by-step explanation:
You can count backwards from -1.
-1, -2, -3, -4, and then -5 is the blue dot.
The left side of 0 is the negative side. The right side is the positive side.
Hope this helps!
Answer:
-5
Step-by-step explanation:
If you're going backward on the number line then you are in the negative zone because of -1
find f(6). evaluate the function graphically.
F(6) IS TRYING TO ASK YOU WHAT IS THE VALUE OF Y WHEN X IS EQUAL TO 6 IN THE GRAPH.
VALUE OF Y WHEN X IS EQUAL TO 6 IN THE GRAPH.IF TOU CHECK IN THE GRAPH YOU WILL FIND THAT WHEN X=6 Y=8
THE ANSWER IS 8.
if f(x)= 4x+1 find f(3)
Answer:
13
Step-by-step explanation:
f(x)=4x+1
f(3)=?
f(3)= 4(3)+1= 12+1=13
Answer:
13
Step-by-step explanation:
x convert to 3
f(x)= 4(3)+1
f(x)= 12+1
f(x)= 13
I am not sure with the answer though, I just tried. I hope it helped you. ❤
i need help yall i dont understand this