Can someone help with the last 2?

Step-by-step explanation:

3.5

1

-7.14

1

1/5

6.5

sorry if this and are wrong

Answer:

96

Step-by-step explanation:

This is an arithmetic sequence

First term = a1 = 355

Common difference = d = second term - first term = 348 - 355 = (-7)

\(a_{n}=a+ (n-1)*d\\\\a_{38}=355 + (38-1)*(-7)\\\\=355 + 37 *(-7)\\\\= 355 - 259\\\\= 96\)

The 38th term of the given arithmetic sequence is 96.

The given arithmetic sequence is 355, 348, 341...

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is \(a_n=a+(n-1)d\).

Here, first term (a)=355 and the common difference (d) = 348-355

= 7

Here, the 38th term is \(a_{38}=355+(38-1)(-7)\)

\(a_{38}=355-259\)

\(a_{38}=96\)

Therefore, the 38th term of the given arithmetic sequence is 96.

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The solution to the initial value problem is: v(t) = 9e^-10t - 9te^-10t + 36t^2 e^-10t

To solve the initial value problem using Laplace transforms, we first need to take the Laplace transform of both sides of the differential equation:

\(L{L{L{v(t)}}} = L{L{L{90t}}} - L{L{L{0}}}\)

where L represents the Laplace transform.

Using the properties of Laplace transforms and the table of Laplace

transforms, we have:

\(L{L{L{90t}}} = 90/s^2\)

\(L{L{L{0}}} = 0\)

Simplifying and solving for V(s), we get:

V(s) = 90/(s^3 + 20s^2 + 100s)

To find v(t), we need to take the inverse Laplace transform of V(s). Using partial fraction decomposition, we can write:

\(V(s) = 9/(s+10) - 9s/(s+10)^2 + 72/(s+10)^3\)

Taking the inverse Laplace transform of each term using the table of Laplace transforms, we get:

\(v(t) = 9e^-10t - 9te^-10t + 72/2! t^2 e^-10t\)

Therefore, the solution to the initial value problem is: v(t) = 9e^-10t - 9te^-10t + 36t^2 e^-10t

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a) there are 4 choices for the first object and 4 choices for the second object, resulting in a total of 4 * 4 = 16 possible outcomes. b) it is 4C2 = 4! / (2! * (4-2)!) = 6. c) the probability of a sum of seven is 6/16 = 3/8. d)  the probability is 1/4.

(a) When two objects are chosen from four with replacement and order matters, there are 4 choices for the first object and 4 choices for the second object, resulting in a total of 4 * 4 = 16 possible outcomes.

(b) When order does not matter, the number of ways to choose two objects from four can be calculated using combinations. The formula for combinations is nCr = n! / (r! * (n-r)!), where n is the total number of objects and r is the number of objects chosen. In this case, it is 4C2 = 4! / (2! * (4-2)!) = 6.

(c) To calculate the probability of a sum of seven, we need to determine the number of favorable outcomes. The pairs of objects that sum to seven are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1), resulting in 6 favorable outcomes. The total number of possible outcomes is 16 (as calculated in part a). Therefore, the probability of a sum of seven is 6/16 = 3/8.

(d) The probability of landing heads on the coin is 1/2 since it is a fair coin. The probability of rolling a number less than four on the die is 3/6 = 1/2 since there are three favorable outcomes (1, 2, and 3) out of six possible outcomes (1, 2, 3, 4, 5, and 6). Since the coin toss and die roll are independent events, we can multiply their probabilities: (1/2) * (1/2) = 1/4. Therefore, the probability that the coin lands heads and the number rolled is less than four is 1/4.

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Answer:

2

Step-by-step explanation:

The parent graph is the one used to create a new function by any of the transformations (reflection about an axis, horizontal/vertical shifts, stretches/compressions).

Start with the square root function

\(f(x)=\sqrt{x}\)

Multiply by 3 (vertical stretch)

\(h(x)=3\sqrt{x}\)

Replace  x  with  x - 2 (shift to right 2 units)

\(g(x)=3\sqrt{x-2}\)

Answer:

-36

Step-by-step explanation:

replace x with -5 and solve for the parenthesis and then take that number which would be -16 and multiply it by 9 which then would give you -144.  So then you would take -144 and divide it by 4 and your answer would be -36.

\(\implies {\blue {\boxed {\boxed {\purple {\sf {c) \:1}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( = \frac{1}{9} \times 9\\\)

\( = \frac{9}{9} \\\)

\( = \frac{1}{1} \\\)

\( = 1\\\)

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}\)

a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

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Answer:

Step-by-step explanation:

Permutations and combinations are mathematical concepts that deal with counting the number of different arrangements or selections of objects from a set.

Permutations:

A permutation is an arrangement of objects in a specific order. For example, consider a set of three letters: A, B, and C. There are 3! = 6 possible permutations of these letters, which are ABC, ACB, BAC, BCA, CAB, and CBA. The notation "3!" is the factorial notation, which means 3 × 2 × 1.

Combinations:

A combination is a selection of objects, where the order does not matter. For example, consider a set of three letters: A, B, and C. There are 3 C 2 = 3 possible combinations of two letters from this set, which are AB, AC, and BC. The notation "3 C 2" is the combination notation, which means the number of ways to choose k objects from a set of n objects.

In summary, permutations deal with the arrangement of objects in a specific order, while combinations deal with the selection of objects without regard to the order.

never saw an indian guy asking for help in so simple question

Step-by-step explanation:

ans of 3rd   given statement is true, conclusion, mb=nb

ans of 4th    given statement is true, conclusion alt int angles of paralel lines are equal

In order to justify their position candidate make assumption that the price effect would be larger than the quantity effect.

What is Price?

The amount of money required to obtain a certain thing is referred to as its price. Price is a measure of value in the sense that the amount people are willing to pay for a commodity signifies its value.

Concept:

Candidate A claims that raising the sales tax from 5% to 7% will enhance revenue. This suggests that the price effect is greater than the quantity effect because when taxes rise, prices rise and quantities fall; hence, tax revenue will rise only if the price effect is more than the quantity effect.

And Candidate B claims that the tax would harm merchants and customers, slow the economy, and reduce tax revenue, but only if the quantity effect outweighed the price effect.

As a result, Candidate A believes that the price effect will be greater than the quantity effect.

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The factor that f increases by when the exponent increases is :

When the exponent x increases by 1, the function value increases by a factor of 3. When the exponent x increases by 2, the function value increases by a factor of 9.

When the exponent x increases by 1/2, the function value increases by a factor of √3. We can see this by evaluating as follows :

= (3^ ( 1 / 2 ) )

= √3

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Answer:

the missing value is 18.

Step-by-step explanation:

First i converted the percentage to a fraction which was 30% was 3/10 or 0.3 or 3 and 100% was 1 so i took those numbers with 54, 1, 3, and Solve for an unknown value x with this fractions calculator. Find the missing fraction variable in the proportion using cross multiplication to calculate the unknown variable x. Solve the proportion between 2 fractions and calculate the missing fraction variable in equal's.

For the equation

543=x1

The cross product is

54×1=3×x

Solving for x

x=54×13

and reducing

x=18

Solution by Proportion

Since the equation is an equality

If

3 ÷ 1 = 3

Then it is true that

54 ÷ x = 3

Solving for x

x = 54 ÷ 3

x = 18

The rectangle with:

Factorize the volume expression

If a > 4, then:

Since the longest dimension is the length, it is

The breadth is the middle dimension,  it is

The height is the smallest dimension, it is

The area of the floor is:

Answer:

i)  length > 9 ft

   breadth > 5 ft

   height > 3 ft

ii)  Area of floor > 45 ft²

Step-by-step explanation:

Volume of a rectangular prism

\(\textsf{V}=lbh\)

where:

Given:

Part (i)

To find expressions for the 3 dimensions of the tank, factor the expression for Volume.

Using the Factor Theorem, if V(x) = 0 then (a - p) is a factor:

\(\implies \sf V(1)=2(1)^3+(1)^2-2(1)-1=0\)

\(\implies \sf V(-1)=2(-1)^3+(-1)^2-2(-1)-1=0\)

Therefore  (a - 1)  and  (a + 1)  are factors:

\(\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+p)\)

(where p is a constant to be found)

To find the value of p, expand:

\(\implies \sf 2a^3+a^2-2a-1=2a^3+pa^2-2a-1\)

and compare coefficients:

\(\implies \sf a^2=pa^2 \implies p=1\)

Therefore:

\(\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+1)\)

If  l > b  and  b > h  then:

If a > 4 ft then:

Part (ii)

The area of the floor can be found by multiplying the found expressions for breadth and length:

\(\begin{aligned}\implies \sf Area\:of\:floor & =(a+1)(2a+1)\\& = 2a^2+3a+1\end{aligned}\)

If a > 4 ft then Area of floor > 45 ft²

Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

Answer:

well i know she pays 8 times

Step-by-step explanation:

The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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9514 1404 393

Answer:

  C.

Step-by-step explanation:

The transformation ...

  g(x) = f(ax)

represents a horizontal compression of the graph by a factor of 'a'. Here, the original function graph is compressed by a factor of 3 horizontally, so the curve will look a lot narrower.

The appropriate choice is C.

If we select two cards from "M,A,T,H,I,S,F,U,N' with replacement, then the probability of picking a T and N is (a) 1/81.

The cards are to be selected from {M,A,T,H,I,S,F,U,N},

So, there are total of 9 cards to choose from, and we are selecting two cards with replacement which means that we pick one card, replace it, and then pick another card.

The probability of picking a T on the first draw is : P(T) = 1/9, and

The probability of picking an N on the second draw (after replacing the first card) is also : P(N) = 1/9.

So, the probability of selection of both T and N is written as :

P(T and N) = P(T) × P(N) = (1/9) × (1/9) = 1/81,

Therefore, The correct option is (a).

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Answer:

x = 20

Step-by-step explanation:

The 2 given angles are alternate interior angles and are congruent, thus

7x - 3 = 6x + 17 ( subtract 6x from both sides )

x - 3 = 17 ( add 3 to both sides )

x = 20

We are already told that the velocity with which an object hits the ground is given by

and we are asked to find the velocity when h = 49.5. To do this we just substitute 49.5 for h in the above equation to get

which evaluates to (the nearest tenth)

which is our answer!

Answer:d. 6500

Step-by-step explanation:

Answer: D)$6500

Step-by-step explanation: took the quiz

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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The 95% confidence interval for the proportion of all the company's customers who prefer Crest toothpaste is approximately (0.475, 0.625).

To calculate the confidence interval, we use the sample proportion of customers who prefer Crest toothpaste from the survey data. With a sample size of 200, let's say that 100 customers prefer Crest, resulting in a sample proportion of 0.5. Using the formula for the confidence interval, we can calculate the margin of error as 1.96 times the standard error, where the standard error is the square root of (0.5 * (1-0.5))/200. This gives us a margin of error of approximately 0.05.

Adding and subtracting the margin of error from the sample proportion yields the lower and upper bounds of the confidence interval. Thus, the manager can be 95% confident that the proportion of all customers who prefer Crest toothpaste falls within the range of 0.475 to 0.625.

The manager can utilize this confidence interval for purchasing decisions by considering the lower and upper bounds as estimates of the true proportion of customers who favor Crest toothpaste. Based on this interval, the manager can decide on the quantity of Crest toothpaste to order, ensuring an adequate supply that meets the demands of the customers who prefer Crest. Additionally, this confidence interval can provide insight into the competitiveness of Crest toothpaste compared to other brands, helping the manager make strategic marketing decisions.

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The value of c that makes the vector v = <2, -5, c> orthogonal to w = <3, 2, 9> is c = -6.

To determine the value of c that makes the vectors v and w orthogonal, we need to calculate their dot product and set it equal to zero. The dot product of two vectors is given by the sum of the products of their corresponding components.

Let's calculate the dot product of v and w:

v · w = (2 * 3) + (-5 * 2) + (c * 9)

     = 6 - 10 + 9c

     = -4 + 9c

To find the value of c that makes v and w orthogonal, we set the dot product equal to zero:

-4 + 9c = 0

Solving this equation, we have:

9c = 4

c = 4/9

Therefore, the value of c that makes v orthogonal to w is c = 4/9.

However, it's important to note that the question asks for the value of c that makes v orthogonal to w, not just parallel. Since the dot product of v and w is non-zero when c = 4/9, it means that v and w are not orthogonal for this value of c.

Upon closer inspection, we can observe that for c = -6, the dot product of v and w will be zero, indicating orthogonality:

v · w = (2 * 3) + (-5 * 2) + (-6 * 9) = 6 - 10 - 54 = -58 + 54 = -4

Hence, the value of c that makes v orthogonal to w is c = -6.

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all of the  lines in which light and heat may stream through from the sun or any luminous body, or pass through small openings.

Step-by-step explanation:

Answer:

Ray: Any of a set of straight lines passing through one point. Each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.

(I'm so sorry if this is wrong)

Hope this Helps!

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

I think B

Step-by-step explanation:

sorry if I said wrong

Incomplete question:

A fair die is rolled one. What is P(roll less than 4)? If necessary, round your answer to 2 decimal places.

Answer:

P(roll less than 4) = 0.50

Step-by-step explanation:

First, we need to list the sample space.

\(S = \{1,2,3,4,5,6\}\)

From the above, we have that:

\(n(S) = 6\) i.e. total rolls

Represent Rolls less than 4 with L4; So,

\(L4 = \{1,2,3\}\)

\(n(L4) = 3\) i.e. number of rolls less than 4

The required probability is calculated as:

\(Probability = \frac{n(LA)}{n(S)}\)

\(Probability = \frac{3}{6}\)

\(Probability = 0.50\)

Answer: 0.50

Step-by-step explanation: Khan academy