Step-by-step explanation:
Charles factors the expression Four-thirds x y + one-third x using a factor of One-third x. He writes the factored expression as One-third x (4 y + 1). Which best describes the accuracy of Charles’s solution?
His solution is accurate.
His solution is inaccurate. The factor does not divide evenly into both terms.
His solution is inaccurate. The factoring of Four-thirds x y using the given GCF is incorrect.
His solution is inaccurate. The factoring of One-third x using the given GCF is incorrect.
i hope you understand
Identify the correct form of the following geometric sequence.
5 , 35 , 245 , 1,715 , ...
The correct form of the geometric sequence is:[tex]5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...[/tex]
how to Identify the correct form of the geometric sequence.To identify the correct form of the geometric sequence 5, 35, 245, 1,715, ..., we can look for a common ratio between consecutive terms.
To find the common ratio, we divide any term by its preceding term. Let's take the second and first terms:
35 / 5 = 7
Now, let's check the third and second terms:
245 / 35 = 7
Similarly, for the fourth and third terms:
1,715 / 245 = 7
Since we obtained the same result (7) for all ratios, we can conclude that the common ratio of this geometric sequence is 7.
Now, let's express the general form of the sequence using the first term (a) and the common ratio (r):
a, ar, [tex]ar^2,[/tex] [tex]ar^3,[/tex] ...
Substituting the given values:
a = 5 (the first term)
r = 7 (the common ratio)
The correct form of the geometric sequence is:
[tex]5, 5 * 7, 5 * 7^2, 5 * 7^3[/tex], ...
Simplifying the terms, we get:
5, 35, 245, 1,715, ...
Therefore, the correct form of the geometric sequence is:
5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...
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2)
a
b
A) complementary
B) vertical
C) alternate exterior
D) alternate interior
Answer:
A.
Step-by-step explanation:
Complementary, since they form a 90 degree angle
Hope that helps!
What is 3b-16=50? Please figure out what B is, thanks.
Answer:
b = 22
Step-by-step explanation:
3b-16=50
3b = 66
b = 22
Answer:
b = 22
Step-by-step explanation:
The first step to solve this is to get rid of -16. You can do this by adding 16 to both sides (since addition is the opposite of subtraction). You'll get 3b=66.
After you get rid of the -16, you want to isolate the variable. Because there is a coefficient/number in front of the variable, you want to divide in order to get rid of it. In order to do that, you divide both sides by 3.
3b/3 = b and 66/3 = 22
After that, you will get b = 22.
You can even check this by plugging 22 as b.
3 x 22 = 66
and 66 - 16 = 50
In the interval 0º < x < 360°, find the values of x for which tan x= -0.6745
Give your answers to the nearest degree.
Step-by-step explanation:
Given interval
0º < x < 360°
tan X = - 0.6745
tan X = tan 146 ° , tan 326
Either
tan X = tan 146
x = 146°
Or
tan X = tan 326°
x = 326°
Therefore the answers are
x = 146° and 326°
Hope it will help :)❤
Find the quotient 1/15 divided by 6
1/90
Thats all, I hope this helps :)
Answer:0.03333333333
Step-by-step explanation:
4. Identify the height of the following triangle?
A.9
B. 5
C. 4
D. 12
Answer:
if u look closely at the doted line it shows the height and the number on the inside right beside it is the height witch the answer would be C
HELP !!!! when will someone -
Answer:
Step-by-step explanation:
a) (3,5)
b) 3 units
c) 10 units
Hope that helps!
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and
the probability of obtaining a success. Round your answer to four decimal places
PCX > 4), n-8.p -0.7
Answer:
P(X > 4) = 0.8059
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question, we have that:
[tex]n = 8, p = 0.7[/tex]
We want:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{8,5}.(0.7)^{5}.(0.3)^{3} = 0.2541[/tex]
[tex]P(X = 6) = C_{8,6}.(0.7)^{6}.(0.3)^{2} = 0.2965[/tex]
[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]
[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]
Then
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2541 + 0.2965 + 0.1977 + 0.0576 = 0.8059[/tex]
So
P(X > 4) = 0.8059
Find the volume of the cylinder . Round your answer to the nearest tenth . 9 ft 6 ft
Answer:
What's the Height and Radius?
Step-by-step explanation:
Answer:
V≈1526.81 = 1526.8
Step-by-step explanation:
Someone help me right now
Answer:
33cm
Step-by-step explanation:
You need to add up all the sides
Someone please help I cant figure it out i need help
Answer:
136
Step-by-step explanation:
Surface area is area of everything added together.
Area of triangle is 4 * 6 over 2 = 12
Area of side rectangle is 5 * 7 = 35
Area of base rectangle is 6 * 7 = 42
42 + 35 + 35 + 12 + 12
Final Answer: 136 sq m
Write an algebraic expression that illustrates the additive identity.
Answer:
Step-by-step explanation:
I hope this helped
the tempature was 80.F and then fell 20.F
Answer:
60ºF
Step-by-step explanation:
80ºF - 20ºF = 60ºF
Answer:
not sure if this is the question but it would be 60 degrees Fahrenheit
WILL MARK BRAINLIEST - One factor of the function f(x)=x^3-8x^2+17x-10 is (x-5). Describe how to find the x-intercepts and y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.
Answer: x-intercepts (5,0), (2,0), (1,0)
y-intercept (0,-10)
Step-by-step explanation: If one factor of the polynomial function is (x-5), then the function f(x) can be factored in the following way: (x-5) (x^2-3x+2)
Now factor the trinomial: (x-2) (x-1)
Thus, x-intercepts (points where f(x)=0) are
x1=5
x2=2
x3=1
and y-intercept (point where x=0) is
f(0)=0^3-8.0^2+17.0-10=-10.
plz mark me brainliest
A function assigns the values. The y-intercept of the function is -10, while the x-intercept of the function is 5, 2, and 1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
To find an intercept of the function, we need to substitute the value of x or y depending on the intercept as 0 in the function. Therefore, the x-intercept of the function is,
y = (0)³ - 8(0)² + 17(0) - 10
y = -10
Since given that one factor of the function f(x)=x³-8x²+17x-10 is (x-5). Therefore, if the function f(x) is divided by (x-5). The quotient will be x²-3x+2.
Now, Factorising the given expression x²-3x+2.
x²-3x+2
= x² - 2x - x + 2
= x(x-2) -1(x-2)
= (x-2)(x-1)
Now, we can write the function f(x)=x³-8x²+17x-10 as y=(x-5)(x-2)(x-1). Therefore, the x-intercept of the function is,
x-intercept = 5, 2, 1
This can be verified from the graph formed below.
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The large rectangle below represents one whole.
What percent is represented by the shaded area????
Answer:
40%
Step-by-step explanation:
Because there are 5 rectangle total, we can dive 100% into 5 parts.
Each part is then 20%, there are 2 shaded rectangles thus the answer is 40%.
if Arianna turns the stove dial 135 to the right what setting will the dial be on
Answer:
135 and high
Step-by-step explanation:
XOXO
Kit
This is just a question what anime do ya'll watch I watch Dragonball Z and
My Hero Academia
Answer:
Kakegurui- demon slayer-
Princess Mononoke is a good movie and the last Airbender is pretty good
UHHHH OH- black butlers okie also a whisker away is cute (MOST ON NETFLIX)
Answer:
I watch Death Note, Black Butler, Demon Slayer, My Hero Academia, Dragonball Z, Naruto, Naruto: Shippuden, Black Clover, Assassination Classroom, OHSHC, School Babysitters (Gakuen Babysitters), High School of the Dead, and more that I forgot the name of!
Step-by-step explanation:
Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
what does Angle B measure.

Answer:
135
Step-by-step explanation:
135+45=180
True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events
Answer: The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. The answer to this question is TRUE
Step-by-step explanation:
Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.
Total number of cards in a deck are 52. There are 4 jacks and 4 kings.
If we simply pick up a king from the deck, the probability of picking a king would be
However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51
This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more runs in a game is 0.61. The probability that the Yankees lose and score fewer than 5 runs is 0.32. What is the probability that the Yankees will lose when they score fewer than 5 runs? Round your answer to the nearest thousandth.
The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Lets suppose here that:
A = event that Yankees win a gameB = event that Yankees will score ≥ 5 in a gameSuppose A' and B' are their complementary events, then we have:
A' = event that Yankees will lose a gameB' = event that Yankees will score < 5 in gameThen, by the given data, we have:
[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]
We've to find [tex]P(A' | B')[/tex]
Using chain rule, we have:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]
Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]
Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821
Learn more about probability here:
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State a and d for the arithmetic sequence below:
3,9, 15, 21...
a
d=
Answer:
6 if I am correct I hope this helps
Mrs.Ziegler will use 1/5 of the 4gallons of milk she has to make chocolate pudding. How much milk will Mrs.Zirkle use to make chocolate pudding?
Suma40grados 35 con
60grados7
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ор
q' w
a' rty u
a s d f g h j k l ñ en español
Answer:
Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??
Step-by-step explanation:
Create an equation that can be used to represent the total number of pages , y , that Latrell reads in x hours .
Answer:
Y=60x
Step-by-step explanation:
A rectangular field has a length of 42.14 meters. The length is 4.3 times as long as the width.
What is the width of the field?
Answer: 9.8
Step-by-step explanation: just divide
please make me brainliest
Answer:
Step-by-step explanation: Division (duh)
9.8
I need help with this problem asap :(
Answer:
m<P=130°
m<Q=130°
m<R=50°
Step-by-step explanation:
m<P=130
m<Q=130
m<R=50
Jackson has twelve crayons. Emma has twice as many as Jackson, and Lily has twice as many as Emma. How many total crayons?
Step-by-step explanation:
there are 48 total crayons
Please help me on this
When the input is -5 the output is ___?
Answer:
30
Step-by-step explanation:
f(-5) = -7(-5) - 5
= 35 - 5 = 30
find the difference between 8n and (3n_6)