Answer:
WyattStep-by-step explanation:
Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.
According to Wyatt expression;
8c-48cd
It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;
[tex]8c-48cd = 8c(1-6d)[/tex]
since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.
According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.
For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.
Answer:
Wyatt
Step-by-step explanation:
it's on edge
Please help. write you answer without negative exponents.
Answer:
-4a^4b^2
Step-by-step explanation:
-4a^7b^6/a^3b^4
-4a^4b^6/b^4
-4a^4b^2
The mean of a normally distributed dataset is 12, and the standard deviation is 2.
Step-by-step explanation:
sorry what is the question?
Which function does the graph represent? f(x) = (x + 3)(x + 7) f(x) = (x – 3)(x – 7) f(x) = 3(x – 3)(x – 7) f(x) = 11(x + 3)(x + 7)
This question is incomplete because it lacks the picture of the graph. Find attached to the answer, the picture of the graph.
Question:
Which function does the graph represent?
a) f(x) = (x + 3)(x + 7)
b) f(x) = (x – 3)(x – 7)
c) f(x) = 3(x – 3)(x – 7)
d)f(x) = 11(x + 3)(x + 7)
Answer:
c) f(x) = 3(x – 3)(x – 7)
Step-by-step explanation:
The function of a graph or the the graph of a function is when
f(x) = y
From the attached graph, after reading it,
They are three specific points on the x - axis, where x = 3 and x = 7, x = 8
So, where x = 3 on the x axis, y =
f(3) = 0
where x = 7 on the x axis, y =
f(7) = 0
So, where x = 8 on the x axis, y =
f(8) = 15
Looking at the options in the question,
a) f(x) = (x + 3)(x + 7)
f(x) = y
where x= 3
f(3) = (3+3)(3+7)
= 60
where x= 7
f(7) = (7+3)(7+7)
= 140
where x= 8
f(8) = (8+3)(8+7)
= 165
This option is wrong
b) f(x) = (x – 3)(x – 7)
f(x) = y
where x= 3
f(3) = (3-3)(3-7)
= 0
where x= 7
f(7) = (7-3)(7-7)
= 0
where x= 8
f(8) = (8-3)(8-7)
= 5
This option is wrong.
c) f(x) = 3(x – 3)(x – 7)
f(x) = y
where x= 3
f(3) = 3(3-3)(3-7)
= 0
where x= 7
f(7) =3(7-3)(7-7)
= 0
where x= 8
f(8) = 3(8-3)(8-7)
= 3(5)(1)
= 15
This option is correct
d)f(x) = 11(x + 3)(x + 7)
f(x) = y
where x= 3
f(3) = 11(3+3)(3+7)
= 660
where x= 7
f(7) = 11(7+3)(7+7)
= 1540
where x= 8
f(8) = 11(8+3)(8+7)
= 1815
Therefore, function the graph represents is Option c) f(x) = 3(x – 3)(x – 7)
Answer: The answer is C. f(x)= 3(x-3)(x-7)
Step-by-step explanation:
Solve the system of equations
Answer:
x=1, y=2
Step-by-step explanation:
2x+y =4
y = 2x
Substitute the second equation into the first
2x+ (2x) = 4
Combine like terms
4x = 4
4x/4 = 4/4
x = 1
Now find y
y = 2x
y = 2(1)
y = 2
An ice cream shop sells cones in two sizes.
A large cone has a diameter of 3 inches
and a height of 5 inches while a small
cone has a diameter of 2 inches and a
height of 5 inches. Find the difference in
volume of the cones to the nearest
tenth.
SOLUTION:
HOW DO YOU KNOW?
Y’all I need help ASAP!! All work is due at 12am and I can’t fail.
Answer: The difference is 6.5 inches.
Step-by-step explanation:
The volume of a cone uses the formula V= nr^2 h/3
So the large cone's volume is V= 3.14 * 1.5^2 *5/ 3
v= 11.775
The volume of the small cone is V= 3.14 * 1^2* 5/3
V=5.23
Now find the difference. 11.775 - 5.23= 6.54
Round to the nearest tenth is 6.5
Aaron gets paid $7.00 an hour at his job.how much money would he earn if he spends 2 hours a day working
Answer:
14 dollars in one day
35 dollars if he works five days a week
49 dollars if he works 7 days a week
Step-by-step explanation:
Answer:
$14.00
Step-by-step explanation:
$7.00 x 2= $14.00
:>
Please help!.im trying to get my missing work done quickly.
Answer:
Probably Dog.
Step-by-step explanation:
Since there is more dogs than anything else, it would probably be a dog.
Answer:
Total pets available
20 pets
Cat 0.2 --> 20%
Dog 0. 35 --> 35%
Snake 0.05 --> 5%
Rabbit 0.15 --> 15%
Bird 0.25--> 25%
Step-by-step explanation:
Total pets are:
cats + dogs + snakes + rabbits + birds
4 + 7 + 1 + 3 + 5 = 20 pets available for adoption
To find probability dived the number available of each pet by the total number of pets available.
Cat
4/20 = 0.2 --> 20%
Dog
7/20 = 0. 35 --> 35%
Snake
1/20 = 0.05 --> 5%
Rabbit
3/5 = 0.15 --> 15%
Bird
5/20 =0.25--> 25%
Un bloque de cemento de 10 Kg de masa cuelga de tres alambres, como se muestra en la figura. Si una bala de 1,2 kg viaja con una velocidad de 3 m/s horizontalmente y choca con el bloque quedando incrustada sobre él, calcule la velocidad final después del choque
Step-by-step explanation:
Could you please type your question in English
Please!! I'm having a hard time understanding your question and I want to help
GEOMETRY HELP WILL MARK BRAINLIEST
Answer: x=12.49
10^2 + x^2= 16^2
100 + x^2= 256
x^2=156
x=12.49
Step-by-step explanation:
Step 1: Use Pythagorean Theorem
[tex]a^2 + b^2 = c^2[/tex]
[tex]10^2 + b^2 = 16^2[/tex]
[tex]100 + b^2 = 256[/tex]
[tex]100-100 + b^2 = 256-100[/tex]
[tex]b^2 = 156[/tex]
[tex]\sqrt{b^2}=\sqrt{156}[/tex]
[tex]b = 12.48999599679679641169378624188[/tex]
[tex]b = 12.49[/tex]
Answer: [tex]12.49[/tex]
Someone help me!!!
toilet roll comes in packs of 4 and 9
The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per roll, determine which pack is better pack.
Show your working.
Answer:
4 pack priced at £2.04 is the better pack
Step-by-step explanation:
2.04/4=£0.51 per roll
4.68/9=£0.52 per roll
I think the 9pack is better
I hope it was helpful to you
Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z takes 25 hours. If the city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to, how far will Train Z travel in total to reach its destination?
a) 1,200 miles
b) 480 miles
c) 2,400 miles
d) 2,000 miles
e) 1,600 miles
Answer:
The equation that best models this situation is : b.
Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = 2,000 miles
Step-by-step explanation:
Given:
Time taken for Train W to complete a trip = 20 hours
Time taken for Train Z to complete a trip = 25 hours
The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.
both trains have same speeds and start from same location.
To find the distance in total each train travels.
Solution:
Let length of the trip of Train W be = miles
Speed of Train W can be given as :
⇒
⇒
So, the length of the trip of Train Z will be = miles
Speed of Train Z can be given as :
⇒
⇒
Since the speeds are same, so the equation to find can be given as:
⇒
Solving for
Multiplying both sides by 100 to remove fractions.
⇒
⇒
Using distribution.
⇒
Subtracting both sides by
⇒
⇒
Thus, Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = = 2,000 miles
Alex has a pet snake that eats 1 mouse every week. How many mice will the snake eat if Alex has the snake for 4 years?
Answer:
33
Step-by-step explanation:
Answer:
208
Step-by-step explanation:
one snake a week
52 weeks in a year
4 years
52*4=208
A pair of socks costs $2.50 originally. The price is reduced to $1.75. What is the percent change?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
% change = difference / original x 100
% change = (0.75 / 2.5) x 100
% change = 30%
It was a 30% change
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
They are 30% less
Step-by-step explanation:
2.5:100=0.75:x
PLEASE HELP !!! When 3x^2 - 5x + c is divided by x + k, the quotient is 3x + 1 and the remainder is 3. Find c and k.
Answer:
The values are k = -2 and c = 1
Step-by-step explanation:
Since it's a division of polynomials we can calculate "c" and "k" by using the inverse operation, which is the product. We need to multiply "x + k" with "3x + 1" and sum it with 3, that should be equal to "3x² - 5x + c". We have:
[tex]3x^2 - 5x + c = (x + k)*(3x + 1) + 3\\3x^2 - 5x + c = 3x^2 + x + 3kx + k + 3\\3x^2 - 5x + c = 3x^2 + (1 + 3k)x + (k+3)[/tex]
In order for two polynomials to be equal, every coefficient must be equal, therefore:
[tex]-5 = 1 + 3k\\1 + 3k = -5\\3k = -5 -1\\3k = -6\\k = -2[/tex]
[tex]c = k + 3\\c = -2 + 3\\c = 1[/tex]
This composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units.Which expression represents the volume, in cubic units, of the composite figure?
This question is incomplete.
Complete question
This composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units.
2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units.
Which expression represents the volume, in cubic units, of the composite figure?
Answer:
2(1/3(5)(0.25)(2))
Step-by-step explanation:
The volume of a rectangular pyramid is given as
1/3 × (Area of the base rectangle ) × Height
Area of the base rectangle = Length × Width
We are told in the question that:
The lengths of the sides of the rectangle are 5 and 0.25 units.
Area of the base rectangle = 5 units × 0.25 units
The height of the pyramid = 2 units
Therefore, the volume of the rectangular pyramid = 1/3× (5×0.25) × 2
We are also told in the question that this composite figure is made of two identical pyramids attached at their bases.
Therefore, expression that represents the volume, in cubic units, of the composite figure is given as:
2(1/3× (5×0.25) × 2) = 2(1/3(5)(0.25)(2))
Find the total volume of the figure.
Answer:
= 2617.9938779915 meters3
Step-by-step explanation:
Base Radius (r): 10m
Height (h): 25m
Volume =
1 πr2h
3
=
1 ×π×102×25
3
= 2617.9938779915 meters
Hope this helps.
Please help with any of the following
Answer:
x2-12x+68
Step-by-step explanation:
Enter the next three terms in the geometric sequence.
−3,104, −1,552, −776, −388, ...
Answer:
-194, -97, -48.5
Step-by-step explanation:
-3,104 ÷2 is -1,552. I divided each number by 2.
1. The measure of angle GHI is 120°. Angle GHI is cut in half with ray HK, if angle
GHK is 3x + 48 , what is the value of x?
Answer:
Step-by-step explanation:
Ray HK is an angle bisector, which means that it cuts the angle exactly in half. So half of GHI is 60. If GHK is 3x + 48, and that is half of angle GHI. then
3x + 48 = 60 and
3x = 12 so
x = 4
2^8-10-15÷3
can you help me plzzzz
Answer:
241
Step-by-step explanation:
Simplify the following:
2^8 - 10 - 15/3
The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:
2^8 - 10 + -5
2^8 = (2^4)^2 = ((2^2)^2)^2:
((2^2)^2)^2 - 10 - 5
2^2 = 4:
(4^2)^2 - 10 - 5
4^2 = 16:
16^2 - 10 - 5
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
256 - 10 - 5
256 - 10 - 5 = 256 - (10 + 5):
256 - (10 + 5)
10 + 5 = 15:
256 - 15
| 2 | 5 | 6
- | | 1 | 5
| 2 | 4 | 1:
Answer: 241
Answer:
The answer is 241
Step-by-step explanation:
P: None
E: 2^8= 256
256-10-15/3
M: None
D: 15/3= 5
256-10-5
A: None
S: 256-10-5=241
Hope this helps...
Betty is now three times as old as Mickey, but in five years she will be only twice as old as Mickey. What are the respective ages of Mickey and Betty now?
(Please show all your work and steps such as: key statement, so statement solution and steps thank you!)
Answer:
The answer is 15
Step-by-step explanation:
could be 15 but (three times) is geting me off
sorry if i was no help and all the number's wow
The solution of 2x -3=7
Answer:x=5
Step-by-step explanation:
2x-3=7
2x=3+7
X=10/2
X=5
Which is bigger 49/54 or 8/9
Answer:
49/54
Step-by-step explanation:
49/54 = 0.9074074074 ≈ 0.9
8/9 = 0.888888....
0.9 > 0.8888....
Therefore:
49/54 > 8/9
49/54 should be the bigger fraction.
Answer:
49/54
Step-by-step explanation:
[tex]\frac{49}{54}[/tex] is bigger because when brought to decimal form, it equals 0.9074... while [tex]\frac{8}{9}[/tex] equals 0.8889
If corresponding angles are on parallel, then their measure is the same ____. always, sometimes, or never
Answer:
Step-by-step explanation:
Sometimes hope that helps you and hope you pass : >
Answer:
Always
Step-by-step explanation:
- Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.
- Parallel lines are congruent and so their measure will ALWAYS be the same
Uma urna contém 10 bolas identificadas pelas letras A, B, ..., J. Uma bola é extraída ao acaso da urna e sua letra é observada. (Deixe explícito o espaço amostral e todos os eventos). Qual é a probabilidade de uma letra da bola sorteada ser: a) Vogal b) Consoante
Answer:
a) Probability that a letter of the drawn ball is vowel = (3/10) = 0.30
b) Probability that a letter of the drawn ball is consonant = (7/10) = 0.70
a) Probabilidade de uma letra da bola sacada ser vogal = (3/10) = 0.30
b) Probabilidade de uma letra da bola sacada ser consoante = (7/10) = 0,70
Step-by-step explanation:
English Translation
A ballot box contains 10 balls identified by the letters A, B, ..., J. A ball is drawn at random from the ballot box and its letter is observed. (Make the sample space and all events explicit). What is the probability that a letter of the drawn ball is: a) Vowel b) Consonant
Solution
The 10 balls are identified by A, B, C, D, E, F, G, H, I and J
Note that the probability of an event is given as the number of elements in that event divided by the number of elements in the sample space.
a) Probability of drawing a ball that has a vowel letter = P(v)
P(v) = n(v) ÷ n(S)
n(v) = Number of balls with vowel letters = 3 (that is, A, E and I)
n(S) = Total number of balls = 10
P(v) = (3/10) = 0.30
b) Probability of drawing a ball that has a consonant letter = P(c)
P(c) = n(c) ÷ n(S)
n(c) = Number of balls with consonant letters = 7 (that is, B, C, D, F, G, H and J)
n(S) = Total number of balls = 10
P(c) = (7/10) = 0.70
In Portugese/Em português
As 10 bolas são identificadas por A, B, C, D, E, F, G, H, I e J.
Observe que a probabilidade de um evento é fornecida como o número de elementos nesse evento dividido pelo número de elementos no espaço de amostra.
a) Probabilidade de desenhar uma bola com uma letra de vogal = P (v)
P (v) = n (v) ÷ n (S)
n (v) = Número de bolas com letras de vogal = 3 (ou seja, A, E e I)
n (S) = Número total de bolas = 10
P (v) = (3/10) = 0,30
b) Probabilidade de desenhar uma bola com uma letra consoante = P (c)
P (c) = n (c) ÷ n (S)
n (c) = Número de bolas com letras consoantes = 7 (ou seja, B, C, D, F, G, H e J)
n (S) = Número total de bolas = 10
P (c) = (7/10) = 0,70
Hope this Helps!!!!
Espero que isto ajude!!!!
please help due now !!
YOURM THE BEST YOU GOT THIS
Answer:
The answer is 36
Step-by-step explanation:
You have to add the areas together to get the whole answer.
a= l × w
Hope this helps
what is the area of a general quadrilateral
Answer:
For a general quadrilateral; in addition s=½(a+b+c+d). Right: a parallelogram. Often, however, it is easiest to compute the area by dividing the quadrilateral into triangles. One can also divide into triangles to compute one side given the other sides and angles, etc.
Step-by-step explanation:
Answer:
Area of a general Quadrilateral =12 × diagonal × (Sum of height of two triangle)
What is the square root of 108what is the square root of 144
Answer:
The square root of one hundred and eight √108 = 10.392304845413
The square root of one hundred and forty-four √144 = 12
Step-by-step explanation:
Answer: 12i
Step-by-step explanation:
find the area of the entire surface of the prism.
5 4 3
Answer:
A=94
Step-by-step explanation:
Length: 5
Width: 4
Height: 3
Shape: Rectangle prism
Solved for surface area
Formula: A=2(wl+hl+hw)
Formula: L*W*H
Answer: A=94
Hope this helps.
Solve the equation and express each solution in a+bi form . X^4-44x^2-45=0
Answer:
The correct answer is option
[tex]d.\ x=-i, i, 3 \sqrt{5}\ or\ -3 \sqrt{5}[/tex]
Step-by-step explanation:
The given equation has a degree 4 (Highest power of [tex]x[/tex]):
[tex]x^4-44x^2-45=0[/tex] is the given equation which can be written as:
[tex](x^2)^2-44x^2-45=0 ...... (1)[/tex]
Let [tex]t=x^{2}[/tex] and putting it in equation (1):
[tex]t^2-44t-45=0 \\[/tex]
Solving the above quadratic equation in variable [tex]t[/tex]:
[tex]\Rightarrow t^2-45t+t-45=0 \\\Rightarrow t(t-45)+1(t-45)=0\\\Rightarrow (t+1)(t-45)=0\\\Rightarrow t =-1\ or\ 45[/tex]
We know that [tex]t=x^{2}[/tex]
So, [tex]x^{2} =-1\ or\ x^{2}= 45[/tex]
1. Solving [tex]x^{2} =-1[/tex]
[tex]\Rightarrow x = +\sqrt{-1}\ or\ -\sqrt{-1}\\\Rightarrow x = i\ or\ -i[/tex]
2. Solving [tex]x^{2} =45[/tex]
[tex]\Rightarrow x = +\sqrt{45}\ or\ -\sqrt{45}\\\Rightarrow x = 3\sqrt{5}\ or\ -3\sqrt{5}[/tex]
Hence, correct answer is:
[tex]x=-i, i, 3 \sqrt{5}\ or\ -3 \sqrt{5}[/tex]
Answer:
D
Step-by-step explanation:
Edgenuity