Answer:
[tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
[tex]f\circ g[/tex] does not exist.
Step-by-step explanation:
It is given that,
[tex]f=\{(1,2),(3,4),(5,6)\}[/tex]
[tex]g=\{(2,3),(4,6),(6,8)\}[/tex]
We need to find the composition gof.
[tex](g\circ f)(x)=g(f(x))[/tex]
Now,
[tex](g\circ f)(1)=g(f(1))=g(2)=3[/tex]
[tex](g\circ f)(3)=g(f(3))=g(4)=6[/tex]
[tex](g\circ f)(5)=g(f(5))=g(6)=8[/tex]
So, [tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
We need to check whether [tex]f\circ g[/tex] exist of not.
If range of g(x) is subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] exists.
Now,
Range of g(x) = {3,6,8}
Domain of f(x) = {1,3,5}
Since range of g(x) is not a subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] does not exist.
Un equipo de futbol esta compuesto por 13 personas, contando el entrenador y el masajista. Tras jugar un partido, reciben para todos un cheque con 16_41 dolares. Sabiendo que en el lugar de "_" hay una cifra que no le queremos decir y que cada uno recibe una cantidad exacta igual¿a cuanto le tocara cada uno? que sean concretos pls
Answer:
Ok, tenemos que el cheque es de 16_41.
Y también sabemos que podemos dividir este numero entre 13 personas, de acá podemos concluir que este numero es un múltiplo de 13.
Sea el dígito faltan igual a x
Sabemos que un numero es divisible por 13 cuando la suma de los productos de las unidades, decenas, centenas,... De dicho número por los dígitos contenidos en la lista {1, –3, –4, –1, 3, 4 } (en ese orden) es 0 o múltiplo de 13.
Entonces, tenemos:
16x41:
1*1 + 4*(-3) + x*-4 + 6*-1 + 1*3 = 1 - 12 -4x - 6 + 3
=-14 - 4*x
entonces, -14 - 4*x tiene que ser igual a 0, 13 o algún múltiplo de 13.
Como ambos términos son negativos, no podemos tener esta igualdad igual a 0 o a 13, entonces apuntamos por el siguiente múltiplo de 13 después de -13 (es decir, 13*-2 = -26)
-26 = -14 - 4*x
-26 + 14 = -4*x
-12 = -4*x
-12/-4 = 3 = x
Entonces nuestro dígito es igual a 3, y nuestro numero es:
16341.
Ahora podemos probar:
16241/13 = 1257
Es decir, cada miembro recibe 1257.
The segments shown below could form a triangle
Answer:
yes it can form an isosceles triangle. when you join these lines AC will be the base and BC andAB will be two equal sides of an isosceles triangle.
Answer:
True i think
Step-by-step explanation:
tell me if you got it right. (btw switch to chrome its faster)
The isosceles triangle and the square shown here have the same area in square units. What is the height of the triangle, $h$, in terms of the side length of the square, $s$?
Answer:
h = 2s
Step-by-step explanation:
Area of square is equal to the area of triangle in this question.
the area of the square is s²
the area of the triangle is [tex]\frac{1}{2}[/tex] *h*s
s²= [tex]\frac{1}{2}[/tex] *h*s
s = [tex]\frac{1}{2}[/tex] *h
2s = h
hope that helps
A grocery store sells a bag of 6 oranges for $2.76. How much would it cost for 5 oranges?
Answer:
$2.3
Step-by-step explanation:
6oranges=2.76$
5oranges=?
5×2.76/6.
=$2.3
Graphing Exponential Functions: Which function is graphed below?
A) y=1/3(3)^x
B) y=3(1/3)^x
C) y=)1/2)^+2
D) y=(2)^x-1
Thank you!!
Answer:
B
Step-by-step explanation:
The y-intercept (or initial value) is 3 which means the coefficient of the exponential term is 3. The only answer choice that follows this is choice B.
Help
❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
Answer:
I can't make a table here but I will try my best to seperate the numbers in groups
4.5 -34.5 : 8,17,23,27,10,23,23,27,5,27
34.5 -64.5 : 61,46,42,46,35,46,46,42,46
64.5 -94.5 : 84,88,65,65,65,84
Step-by-step explanation:
In this question there are three categories of intervals and a set of numbers. Essentially, the question wants you to seperate the numbers within each category of interval. I could not make the table here, but it is basically laid out for you. As for the histogram, the question in and out of itself is very vague because there are many ways you can set up a histogram. The file below may not be what you're looking for but it is how I imagined it would be.
A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift. A cylinder has a height of 20 centimeters and a diameter of 8 centimeters. What is the approximate volume of the tube? Round to the nearest whole cubic centimeter. 1,005 cm3 1,340 cm3 3,351 cm3 4,021 cm3
Answer:
4021 cm^3
Step-by-step explanation:
The volume of a cylinder can be found using the following formula.
[tex]V=\pi r^2h[/tex]
where r is the radius and h is the height.
We know the cylinder has a height of 20 centimeters and a diameter of 8 centimeters.
h= 20 cm
d= 8 cm
Substitute these values into the formula.
[tex]V=\pi (8 cm^2) * 20 cm[/tex]
First, evaluate the exponent.
8 cm^2= 8 cm * 8 cm= 64 cm
[tex]V=\pi * 64 cm^2*20 cm[/tex]
Multiply 64 cm^2 and 20 cm
[tex]V=\pi *1280 cm^3[/tex]
Multiply 1280 cm^3 and pi
[tex]V=4021.2386 cm^3[/tex]
Round to the nearest cubic centimeter. The 2 in the tenth place tells us to leave the number as is.
[tex]V= 4,021 cm^3[/tex]
The volume is about 4,021 centimeters^3.
The approximate volume of the tube is 1005 cm³.
What is a cylinder?A cylinder is a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.
Given that a cardboard cylinder has a diameter of 8 centimeters and a height of 20 centimeters, we need to find the volume of the cylinder,
The volume of the cylinder = π × radius² × height
Radius = diameter / 2 = 8/2 = 4 cm
Therefore,
Volume = π × radius² × height
= 3.14 × 4² × 20
= 3.14 × 16 × 20
= 1004.8 ≈ 1005
Hence, the approximate volume of the tube is 1005 cm³.
Learn more about cylinder, click;
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59.6487 to 2 decimal places
Answer:
59.65
Step-by-step explanation:
2 decimal places is to the hundredths place.
Answer: 59.65
Step-by-step explanation: When rounding a number to a given place, look at the next place y o the right. If that digit is 5 or more, "round up" by adding one to the given place.
If the number to the right is 4 or less, leave the given place "as is"
In this example, the hundredths place is 4, the place to the right has an 8. So you round up the 4 to a 5. You end up with 59.65
X/8 - 9 = 1 Solve for x
Answer:
x=80
Step-by-step explanation:
x/8-9=1x/8=9+1x/8=10x=80The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. What is another way to represent this solution set? (–∞ , two-thirds] (–∞ , two-thirds) (two-thirds, ∞) [two-thirds, ∞)
Answer:
correct choice is C ( ,∞).
Step-by-step explanation:
A set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy. In your case, the set builder notation {x l x > } means that the set consists of all elements that are greater than.
Consider number line. Plot the point as unfilled circle that goes after > sigh and shade the ray that goes from this point to the right. Then another way to represent this solution is
Answer:
c) (two-thirds, ∞)
Step-by-step explanation:
A student knows the height of a pyramid and the area of its base. What should the student do to find the volume of the pyramid
Answer:
Multiply the area of the base by the height and divide by 3.
Step-by-step explanation:
V = (1/3)Bh
where B = area of the base, and
h = height
Answer: Multiply the area of the base by the height and divide by 3.
Answer:
We khow that the volume of a pyramid is equal the product of the base and the height over 3
So he just needs to multiply them together then divide the result by 3
What is the value of A when we rewrite... (PLZ HELP QUICK)
Answer:
[tex] \frac{133}{8} [/tex]Step-by-step explanation:
Given,
[tex] {( \frac{5}{2} )}^{x} + {( \frac{5}{2} )}^{x + 3} [/tex]
[tex] = {( \frac{5}{2}) }^{x} + {( \frac{5}{2}) }^{x} \times {( \frac{5}{2} )}^{3} [/tex]
[tex] = ( \frac{5}{2} ) ^{x} (1 + {( \frac{5}{2} )}^{3} [/tex]
[tex] = {( \frac{5}{2} )}^{x} (1 + \frac{125}{8} )[/tex]
[tex] = {( \frac{5}{2} )}^{x} ( \frac{1 \times 8 + 125}{8} )[/tex]
[tex] = {( \frac{5}{2}) }^{x} ( \frac{8 + 125}{8} )[/tex]
[tex] {( \frac{5}{2} )}^{x} ( \frac{133}{8} )[/tex]
Comparing with A • [tex] {( \frac{5}{2}) }^{x} [/tex]
A = [tex] \frac{133}{8} [/tex]
Hope this helps...
Good luck on your assignment...
The length of a photo is 14 inches, which is 3 inches longer than its width. Write an equation that gives the photo's width (w) in inches. i need this asap!
Answer:
w+3=14
Step-by-step explanation:
The length is 3 more than the width, and more can be expressed as a plus sign, so w+3=14.
PLEASE HELP ! ! ! pleaseeeee ! ! ! ! ! :C
Answer:
5/2
Step-by-step explanation:
When you multiply exponents, you add the powers, and when you subtract exponents, you subtract the powers.
Step 1: Move negative exponents
[tex]\frac{2^25^6}{2^35^35^2}[/tex]
Step 2: Combine exponents
[tex]\frac{2^25^6}{2^35^5}[/tex]
Step 3: Remove like terms
[tex]\frac{5^1}{2^1}[/tex]
Step 4: Exponent
5/2
tim spends 25% of his time at the gym dooing leg exercises , 1/5 on shoulder exercises , 0.35 on biceps exercises , and warming up . what percentage of time does tim spend warming up
Answer:
20%
Step-by-step explanation:
25%+(35%)+(20%)=80%
100-80=20%
What is the solution set of {xlx<-3}{xlx>5)?
all real numbers
all numbers except -3 and 5
the empty set
the numbers between -3 and 5
Explanation:
The first set {x | x < -3} means we're talking about numbers smaller than -3. This includes -4, -5, -6, etc
The second set {x | x > 5} means we're talking about numbers larger than 5. So things like 6,7,8,...
Combining both at the same time, we want to find a number that is both smaller than -3 and larger than 5. This is impossible as no such number exists. You can pick one or the other, but not both.
There are no solutions. Since there are no solutions, the solution set is the empty set.
The perimeter of a triangle is 7 a − 11 b . If two of its sides are 2 a + b and a − 9 b , what is the third side?
Answer:
To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.
7a - 11b - (2a + b + a - 9b)
= 7a - 11b - (3a - 8b)
= 7a - 3a - 11b + 8b
= 4a - 3b
A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?
Answer:
The other side = [tex]\frac{1}{12}[/tex] units
Step-by-step explanation:
A right triangle has a side of length [tex]\frac{1}{4}[/tex] units and;
the hypotenuse is [tex]\frac{1}{3}[/tex]
According to Pythagorean theorem,
a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.
Lets say a² = [tex](\frac{1}{4}) ^2[/tex] and c² = ([tex](\frac{1}{3} )^2[/tex]
b² = c² - a²
b² = [tex]\frac{1}{9}[/tex] - [tex]\frac{1}{16}[/tex] = [tex]\frac{1}{144}[/tex]
So b = [tex]\sqrt{1/144}[/tex] = [tex]\frac{1}{12}[/tex] units.
So the other side = [tex]\frac{1}{12}[/tex] units.
Use the Quadratic Formula to solve y=3x2+9x-13
additional expenses made after purchasing an article added to its actual cost are called————
Answer:
by definition : Additional expenses made after buying an article are included in the cost price and are known as overhead expenses.
Step-by-step explanation:
Susie needs to melt some chocolate to use in a recipe she found in a cookbook. The cookbook calls for melting the chocolate at a low temperature of 30 degree celsuis . What temperature in degrees Fahrenheit will she need to set her stove to melt the chocolate? Round your answer to the nearest whole degree. The solution is
Answer:
The temperature needed to melt the chocolate = 86 degree Fahrenheit.
Step-by-step explanation:
The given temperature = 30 degrees Celsius.
Now we have to calculate the temperature in Fahrenheit. So just covert the given degree Celsius into Fahrenheit. Therefore multiply the 30 with 9/5 and add the 32 so the remaining answer is the temperature in the Fahrenheit. Below is the calculation to convert the degree Celsius into Fahrenheit.
Temperature = 30 × 9/5 + 32 = 86 Fahrenheit.
which are exterior angles?
Use the rule y=-x+ 7 to fill in the blank.
If (-1, y) is on the graph, then y=
Answer:
(-1,6)
Step-by-step explanation:
y=-x+ 7
Let x = -1
y = -1+7
y = 6
Hello!, im a little stuck on this
Answer:
61 seats.
Step-by-step explanation:
This is an example of an arithmetic sequence.
The formula for this is an = a + (n - 1)d
Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.
We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.
a19 = 25 + (19 - 1) * 2
a19 = 25 + 18 * 2
a19 = 25 + 36
a19 = 61
So, there are 61 seats in the 19th row.
Hope this helps!
Answer:
i think 61 i hope im right
Step-by-step explanation:
PLEASE HELP FAST
answers:
a.) 4
b.) 10
c.) 6
d.) 1
Answer:
4
Step-by-step explanation:
There are 5 points. So there are 4 segments. The segments are the line between two points.
Given the proportion 3/4 = x/10 , the value of x is:
Answer:
7.5
Step-by-step explanation:
given:
3/4 = x/10 (multiply both sides by 10)
(3/4)(10) = x
x = 30/4
x = 7.5
The value of x is 7.5
Given:
The proportion 3/4 = x/10
3/4 = x/10
30 = 4x
30/4 = x
7.5 = x
Therefore, the final answer is 7.5.
Learn more about proportion here:
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Find the percentage change: The price was $60. Now it is $40.
Answer:
33.33%
Step-by-step explanation:
The percentage was a decrease.
Let the percent be x.
60 × (1 - x%) = 40
60 × (1 - x/100) = 40
1 - x/100 = 40/60
-x/100 = 40/60 - 1
-x/100 = -1/3
x/100 = 1/3
x = 1/3 × 100
x = 33.33333
What is the quotient of 8 1/4×3/4
Answer:
6 3/16
Step-by-step explanation:
8.25x.75=6.1875, or 6 & 3/16
Answer:
[tex]6\frac{3}{16}[/tex]
Step-by-step explanation:
[tex]8 \frac{1}{4} * \frac{3}{4} \\\\\frac{33}{4} * \frac{3}{4} = \frac{99}{16} \\\\\frac{99}{16} = 6\frac{3}{16}[/tex]
Hope this helps! :)
- Clout Answers
Brainliest is greatly appreciated :)
6. Yolanda's Purse
Yolanda finally cleaned her purse, and she found 40 coins at the bottom of her purse! All her
coins were dimes and pennies. Altogether she had $2.29. How many dimes and pennies did
she find? Make your own chart.
Answer:
She found 19 pennies and 21 dimes
Step-by-step explanation:
Let the number of dimes present be d and the number of pennies present be p
From the question, the total of both is 40
Mathematically;
p + d = 40 •••••••(i)
While a penny worths 1 cent, a dime is worth 10 cents
Total penny amount would be 1 * p = p cents
While total dime amount would be 10 * d = 10d cents
Before we add both to give the total amount, let’s convert this total amount to cents and that would be 2.29 * 100 = 229 cents
So mathematically;
p + 10d = 229 •••••••(ii)
So let’s solve both equations simultaneously
From i) p = 40 - d
let’s put this into equation ii
40 - d + 10d = 229
40 + 9d = 229
9d = 229-40
9d = 189
d = 189/9
d = 21
Recall;
P = 40-d
P = 40-21
P = 19
Three numbers are in ration 3: 4: 8. The sum of the two larger numbers exceeds twice the smallest by 48. Find the numbers.
Answer:
24, 32, 64
Step-by-step explanation:
12x=6x+48
-6x -6x
6x=48
x=8
8(3)=24
8(4)=32
8(8)=64
Answer:
24, 32, 64
Step-by-step explanation:
1st=3x
2nd=4x
3rd=8x
2(3x)+48=4x+8x
6x+48=12x
48=6x
x=8
SO:
1st =24
2nd= 32
3rd= 64