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The common difference in the arithmetic sequence is 8.

To find the common difference in the arithmetic sequence, we can use the formula:

An = A1 + (n-1)d

Where An is the nth term, A1 is the first term, n is the position of the term, and d is the common difference.

We are given the 6th term (35) and the 41st term (315). We can set up two equations using the formula:

35 = A1 + 5d (1) (6th term)
315 = A1 + 40d (2) (41st term)

Subtract equation (1) from equation (2) to eliminate A1:

315 - 35 = (A1 + 40d) - (A1 + 5d)
280 = 35d

Now, solve for the common difference (d):

d = 280 / 35
d = 8

The common difference in the arithmetic sequence is 8.

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Answer:

b.

Step-by-step explanation:

Answer:

y = x^2 + 12x + 27

or

x^2 + 12x + 27 = 0

(x  + 9)(x + 3) = 0

x = -3, -9

The part of the marbles which are blue is  41.7%.

We are given that;

The number of red marbles=3

The number of white marbles=4

The number of blue marbles=5

Now,

To find the part of the marbles that are blue,

we need to find the total number of marbles and the number of blue marbles.

The total number of marbles is:

3 + 4 + 5 = 12

The number of blue marbles is:

5

So the part of the marbles that are blue is:

5/12

Therefore, by probability the answer will be  41.7%

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Answer:

4 and 23

Step-by-step explanation:

4 x 23 = 92

4 + (23) = 27

Answer/Step-by-step explanation:

Given, y = k√x

Let's find the following:

a. To find k, using the first pair given, (64, 16), plug in the values of the ordered pair into y = k√x

Thus:

16 = k√64

16 = k*8

Divide both sides by 8

16/8 = k

k = 2

b. To find F, substitute k = 2, and x = 100 into y = k√x

Thus:

y = 2√100

y = 2*10

y = 20

F = 20

c. To find x, substitute k = 2, and y = 10√2 into y = k√x.

Thus:

10√2 = 2√x

Divide both sides by 2

(10√2)/2 = √x

5√2 = √x

Square both sides

x = (5√2)²

x = 25*2

x = 50

d = 50

Answer:

v-at/m

Step-by-step explanation:

v=mu+at

change of subject of the formula

mu=v-at

u=v-at/m

We are given the expression for the velocity of a moving vehicle, \(v=mu+at\) and asked to rewrite the expression in terms of "u."

To complete this, we simply need to use our knowledge of algebra.

\(\Longrightarrow v=mu+at\)

\(\Longrightarrow v-at=mu\\\) - Subtracted "at" from both sides of the equation

\(\Longrightarrow \frac{v-at}{m} =u\\\) - Divided both sides by "m"

\(\Longrightarrow \boxed{u=\frac{v-at}{m} \\} \therefore Sol.\)

Answer:

Yes, probability  (purple or red)=3/4

Step-by-step explanation:

12 beads

2 blue; 1 green; 3 purple => red=12-(2+1+3)=6

probability  (purple or red)=(3+6)/12=9/12=3/4

Answer:

negative, as the points are slowly making their way "down" the graph :)

The meaning of fragments as used in the passage above is pieces. This means that Selma had arranged to collect the pieces of the broken vase.

The meaning of fragments as used in the passage above is pieces. To determine the meaning of a word, we can look at the dictionary meaning as well as the contextual meaning.

The contextual meaning of the word fragments can be seen from what happened earlier which was the breakage of the vase. So, after the vase broke, Selma picked its pieces.

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Answer:

Selma picked through the (broken bits) on the table. The she decided to (repair) the vase.

Step-by-step explanation:

360 divided by 1/12 = 30

360 - 30 = 330

330 divided by 1/6 = 55

330 - 55 = 275

Answer: Abby has 275 pages left to read.

Answer:

i think the answer is 13 pencils

The fraction of Anitra's hair ribbons is red is 1/2.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Anitra has 12 hair ribbons.

One fourth of the ribbons are pink.

So, number of pink ribbons = 1/4 ×12

= 3

Three are purple, and the rest are red.

So, number of red ribbons

= 12-3-3

= 6

Now, fraction = 6/12 = 1/2

Therefore, the fraction of Anitra's hair ribbons is red is 1/2.

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The number of students who earned a score of 90 or less in class 2 is 7, and the number of students who earned less than 75 in class 1 is 3. The difference between the two is 4.

The given problem presents two box plots representing the test scores for two different classes. Class 1 has 17 students, while class 2 has 13 students. It is required to find the difference between the number of students who earned a score of 90 or less in class 2 and the number of students who earned less than 75 in class 1.

By analyzing the box plots, we can see that 7 students in class 2 earned a score of 90 or less, while only 3 students in class 1 earned less than 75. Therefore, the difference between the two is 4. It is important to understand box plots and their interpretation to solve such problems.

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The probability that it takes you until the 5th person to find someone born in December is 1/12 or 0.0588 and the expected number of people you have to question to find someone born in december is 12.

a) The probability that it takes you until the 5th person to find someone born in December = P (first 4 person born in some other month & 5th person born in month of December) = (1-1 / 12) 4 × (1/12)

= 0.0588

b) We know that from geometric distribution expected number of people you have to question to find someone born in December

= 1/p = 1/ (1/12) = 12

Therefore, the probability that it takes you until the 5th person to find someone born in December is 1/12 or 0.0588 and the expected number of people you have to question to find someone born in December is 12.

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We have two solutions: x = 2 and x = 6. These solutions are in the domain of the function (i.e. x < 3). Only x = 2 satisfies this condition. The critical point of the function is x = 2.

To find the critical points of a function, we need to find where the derivative of the function is equal to zero or undefined. In this case, we have:
f(x) = x√(4 – x), for x < 3.
To find the derivative of f(x), we can use the product rule:
f'(x) = √(4 – x) – x/(2√(4 – x))
Now, to find the critical points, we need to solve the equation f'(x) = 0.
√(4 – x) – x/(2√(4 – x)) = 0
Multiplying both sides by 2√(4-x) gives:
2(4-x) - x^2 = 0

Expanding and simplifying gives:
x^2 - 8x + 8 = 0
Using the quadratic formula, we can solve for x:
x = (8 ± √16) / 2
x = 4 ± 2
So we have two solutions: x = 2 and x = 6.
However, we need to check if these solutions are in the domain of the function (i.e. x < 3). Only x = 2 satisfies this condition. Therefore, the critical point of the function is x = 2.

To find the critical points of the function f(x) = x√(4 - x), we need to find where the derivative of the function is either zero or undefined.

Step 1: Find the derivative of f(x)
f'(x) = d/dx[x√(4 - x)]

Step 2: Apply the product rule (u'v + uv')
Let u = x and v = √(4 - x)
u' = 1
v' = d/dx[√(4 - x)] = -(1/2)(4 - x)^(-1/2)

Now, use the product rule:
f'(x) = (1)(√(4 - x)) + (x)(-(1/2)(4 - x)^(-1/2))

Step 3: Find where f'(x) is either zero or undefined
First, check where f'(x) is zero:
(√(4 - x)) - (1/2)x(4 - x)^(-1/2) = 0

Solve for x:
x = 0

Second, check where f'(x) is undefined:
The derivative is undefined when (4 - x) = 0:
x = 4

Step 4: Determine which critical points apply within the domain of f(x)
Since f(x) is defined for x < 3, only critical points within this range are valid. Comparing the critical points found in Step 3, only x = 0 falls within the specified range. Therefore, the correct answer is:

A) x = 0

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"I imagined that I bore my chalice safely through a throng of foes." contains a phrase that best expresses a connotative meaning for the word hope in Araby by James Joyce.

The phrase "bore my chalice safely through a throng of foes" implies a sense of triumph and victory in the face of adversity, which is associated with the connotative meaning of hope. The protagonist's use of this phrase reflects his sense of hope that he will be able to obtain the object of his desire (the girl he loves) despite the obstacles he faces.

Other phrases in the story, such as "dark muddy lanes," "blind end," and "musty halls," have a more negative connotation and do not convey the same sense of hope. Therefore, the phrase "bore my chalice safely through a throng of foes" stands out as the best expression of hope in the story.

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Step-by-step explanation:

Number of shirts she didn't fold= n

Number of shirts she folded = f

So = total number of shirts - number of shirts folded = shirts that aren't folded

= equation = 27 - f = n

= so if she folded 11, f = 11

So n = 27 - 11

So n = 16

So, 16 shirts are left to fold

Answer:

Thank you for posting your question here at brainly. Feel free to ask more questions.  

The best and most correct answer among the choices provided by the question is 0 (zero).          

Hope my answer would be a great help for you.  3 to all sorry i can't help you all i try my best tho my goal is to get to 4 brainlyest may 8 if i'm lucky god bless you all stay safe during these tuff times

Answer:

impossible event

people cant live without water

getting both a head and a tail when flipping a coin

obtaining seven on a throw of a die

certain event

it is 2pm now and will be 4pm after two hours

if you are sixteen,the likelihood of your turning seventeen on you next birthday

if it is thursday the probability that tommorow is friday An event that is certain is something that will definitely happen, such as the sun will rise tomorrow, or when rolling a six sided die, it will land on 1 - 6.

Something impossible, includes events that will never happen, such as pig will fly, or when rolling a six sided die, it will land on 7.

2. The experimental probability may be different to the theoretical probability as theoretical probability is only theory, and when trying something out in real life, there is a high chance that it will be different.

Step-by-step explanation:

There is question in my book: Probability of impossible event is?

After reading the question my instant answer was 0 and that was the answer given.

But then i thought other way, question is probability of impossible event, so there are two outcomes possible or impossible (event can be certain or impossible).

Therefore probability of impossible outcome is 12.

Can that also be answer?

If this doesn't help Get Tutor Immediately!

The inverse of f₁(x)=b^(x-h) is not equal to a vertical stretch or compression of g: TRUE

So,

Given inverse function: f₁(x)=b^(x-h)

First, find out the inverse of this function.

Switch the variables x & y as follows;

Solve for y as shown below and take logarithm both sides:

So,

From the first equation we get the inverse of as f₁ follows:

Therefore, the statement "the inverse of f₁(x)=b^(x-h) is not equal to a vertical stretch or compression of g" is TRUE.

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Answer:

357

96 - 14 = 82

Step-by-step explanation:

Required :

use three of these digits (8 5 3 7) to write down the smallest possible 3-digit number.

To obtain the smallest possible 3 - digit number :

Start with the smallest digit folloqed by the next and so on ; Therefore we have ;

3, then 5, then 7 = 357

The largest possible answer to the subtraction using the digits : 6194

To obtain this :

Right hand side must be as large as possible and the left hand side as small as possible ;

Largest possible 2 - digit number = 96

Smallest possible 2 - digit number = 14

96 - 14 = 82

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Let's simplify each expression shown in the exercise:

Option a

Given:

You can apply the Product of powers property. This states the following:

Where "b" is the base and "n" and "m" are exponents.

Then, you get:

By definition:

Therefore:

The expression given in Option a is equal to 1.

Option b

Knowing that any number or expression with exponent zero is equal to 1, you get that:

The expression given in Option b is equal to 1.

Option c

Given:

You can notice that the numerator and the denominator are equal, then:

The expression given in Option c is equal to 1.

Option d

Given:

You can simplify it using the Quotient of powers property, which states that:

Then, you get:

The expression given in Option d is not equal to 1.

The answer is: Option d.

Answer:

61.3

Step-by-step explanation:

two vertical angles add up to 180°

so (x+3)+(2x+7)=180°

open brackets & collect like terms

x+3+2x-7=180°

3x+-4=180°

3x=184°

x=61.3 after dividing by 3 on both sides

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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The SSS(Side-Side-Side) Triangle congruency is proven by following rule.

In SSS (Side-Side-Side) condition the two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.

In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes. A triangle is a closed polygon with three line segments that intersect at each of its three angles.

Two shapes are congruent if their sizes and forms are comparable. Additionally, if two shapes are congruent, then their mirror images are likewise congruent.

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Answer:

Not any whole numbers!

Step-by-step explanation:

Answer:

$31728

Step-by-step explanation:

sorry if I'm wrong

Answer:

Jorge needs 1/2 apple to make the snack.