The functions f and g are defined as follows.
f(x)=-2x-1
g(x) = 3x° +5
Find f(6) and g(-3).
Simplify your answers as much as possible.

Answer:

Reese's puffs Reese's puffs

Answer:

4.4 miles

Step-by-step explanation:

add 2.7+3.6+4.3 to get 10.6 then subtract that from 15 to get the answer 4.4

Finding the smallest possible integer value of k requires analyzing the given equation and determining the conditions under which one root is less than 1 and the other is greater than 1.

The equation is:

2^(2x) - 2(k-1)^(2x) + k = 0

Let's break down the conditions step by step.

1. Square root less than 1:

To make the square root less than 1, we need to substitute x = 1 into the equation and get a positive value. So if x = 1, then

2^(2*1) - 2(k-1)^(2*1) + k > 0

4 - 2(k-1)^2 + k > 0

Extensions and simplifications:

4 - 2(k^2 - 2k + 1) + k > 0

4 - 2k^2 + 4k - 2 + k > 0

-2k^2 + 5k + 2 > 0

2k^2 - 5k - 2 < 0 xss=removed xss=removed xss=removed xss=removed > 0.

Now we can combine both conditions to find the smallest integer value of k.

2k^2 - 5k - 2 < 0 > 0 (Condition 2)

By solving these conditions simultaneously, we can find the range of values of k that satisfy both conditions and determine the smallest integer value of k. However, this process requires calculations and algebraic manipulations beyond the scope of simple text-based answers.

It is recommended to use an algebraic calculator or software to solve the equation and find the smallest integer value of k that satisfies the given conditions. 

5.03 × 10^7

(word format): 5 and 3 hundredths times 10 to the 7th power

Answer:5.03 x 10^9

Step-by-step explanation:

True. In a pairwise scatter plot matrix, each scatterplot represents the relationship between two variables.

Since the scatterplot between variable X and variable Y is the same as the scatterplot between variable Y and variable X, the matrix is perfectly symmetric.

The scatterplot at the lower-left corner is indeed identical to the one at the upper-right corner. This symmetry is a result of the fact that the relationship between X and Y is the same as the relationship between Y and X.

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Answer:

A.

Step-by-step explanation:

Answer:

Answer:

Yes

Step-by-step explanation:

Math, due tomorrow and i can't find the rate of enlargement of my dilation in transformation....

Answer:

x = 2

Step-by-step explanation:

6 ÷ 2 = 3

8 ÷ 2 = 4

4 ÷ 2 = 2

The converse of the conditional statement "If x < 20, then x < 30" is "If x < 30, then x < 20."

The converse statement is not true, because there are values of x that are less than 30 but are greater than or equal to 20.

Therefore, the counterexample is: x = 27.

If x = 27, the statement "If x < 30, then x < 20" is false because 27 is less than 30 but not less than 20.

Therefore, the answer is B) If x < 30, then x < 20 ; False -Counterexample: x=27 and x < 27.

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When the measure of two vertical angles are 8x-18 and 6x+14, x is A. 16.

It should be noted that vertically opposite angles are equal. In this case, we have to equate both angles given. This will be illustrated as:

Angle 1 = Angle 2

8x - 18 = 6x + 14

Collect like terms

8x - 6x = 14 + 18

2x = 32

Divide

x = 32/2

x = 16

The value of x is 16.

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The percentage of all homeowners that own at least one dog is parameter.

Hence the correct option is (D).

Here Timothy wants to estimate the percentage of total homeowners that own at least one dog.

And for this he surveyed 100 randomly selected homeowners.

So here population of the total homeowners and sample is 100 homeowners who have been surveyed by Timothy.

Parameter is the percentage or measure of a component in a population and statistics is the percentage or measure of a component in the sample.

So here the percentage of 100 surveyed homeowners that own at least one dog is statistics and the percentage of all homeowners that own at least one dog is parameter. Hence the correct option is (D).

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The question is incomplete. The complete question will be -

Answer:  B, E

Step-by-step explanation: According to PEMDAS, do exponents first since you dont have parenthesis.

10^3 is  is 1000, and the next one is Multiplication.

1000 x 1.56 is 1560.

Then you do 25,000 - 1560 which is 23,440

A is incorrect.

B is correct.

C is incorrect.

D is incorrect because 10 ^3 is 1000 and 9.4 x 1000 is 9,400

E is correct because 10 ^ 4 is 10,000 and 10,000 x 2.344 is 23,440.

F is incorrect because 10 ^ 4 is 10,000 and 10,000 x 2.4844 is 24,844

Answer:

B and E

Step-by-step explanation:

1.56 x 10³ = 1.56 x 1000 = 1,560

25,000 - 1,560 = 23,440

B gives the value directly

E is 2.344 x 10⁴ = 2.344 x 10,000 = 23440 which is correct

Answer:

y=-5x+9

Step-by-step explanation:

Answer:

y=-5x+-9

Step-by-step explanation:

If you notice is says that the line HAS to go through (1,4) but if you need it to go through (-1,4) it would be y=-5x+-1

The probability of picking a T and an N is 1/81.

The correct option is (B).

From the geometric shape we can see that the total number of different letter is = 9

that are M, A, T, H, I, S, F, U, N

Now T is one of the letter from that 9 letters.

Now if we pick T then the probability of that = 1/9

Therefore, P(T) = 1/9

now we again replace T in previous position before picking the next letter.

Again the total number of letters = 9

Again, N is one of the letter from that 9 letters.

So the probability of picking N = 1/9

Therefore, P(N) = 1/9

The required probability of picking T and N

= probability of picking T followed by picking N

= P(T)*P(N)

= (1/9)*(1/9)

= 1/(9*9)

= 1/81

Hence the correct option is (B).

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The median of the stem-and-leaf plot is 23

The perimeter of rectangle JKLM which has vertices J( – 2,2), K(6, – 4), L(3, – 8), and M( – 5, – 2) On the coordinate plane is 30 units.

By applying the Pythagorean distance formula we calculate the length of each side of the rectangle as,

Distance, d = √{(x₁ - x₂)² + (y₁ - y₂)²}  (units)

where  (x₁, y₁ ) and ( x₂, y₂) are the coordinates of both the end of a side of the rectangle.

The coordinates of the rectangle JKLM are given as J( – 2,2), K(6, – 4), L(3, – 8), and M( – 5, – 2).

Thus,

| JK | = √{(-2 - 6)² + (2 +4)²} = 10 units

| JM | = √{( -2 +5)² + (2 +2)²} = 5 units

| KL | =√{(6-3 )² + (-4+8 )²} = 5 units

| LM | = √{(3+5)² + (-8+2)²} = 10 units

Therefore,  JK and LM are sides opposite to each other (and let it be length) and JM and Kl are the other pair (and let it be the breadth) in the rectangle.

Thus, perimeter of a rectangle can be found with the formula,

Perimeter of JKLM = 2( length + breadth) in units

= 2(10+ 5) units

= 30 units

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So, Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.

To finish the 10 kilometer race in one hour, Antti must maintain an average speed of 10 kilometers per hour for the entire race. Since he has already completed 2 kilometers at an average speed of 12 kilometers per hour, he must make up for that extra speed by running the last 8 kilometers at a slower pace.

To find out what average speed he must maintain for the last 8 kilometers to finish in one hour, we can use the formula:

(distance) / (time) = (speed)

So, 8 / 1 = 8 kilometers per hour

Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.

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Answer:

Natalie will have \(1\frac{43}{56}\) jars of coins all together after receiving John's coins.

Step-by-step explanation:

Given that:

Coins Natalie have = \(1\frac{1}{8}\) jars of coins

Coins John have = \(\frac{9}{14}\) jars of coins

When John will give all his coins to Natalie.

Total coins Natalie have = Her coins + John's coins

Total coins Natalie have = \(1\frac{1}{8}+\frac{9}{14}\)

Total coins = \(\frac{9}{8}+\frac{9}{14}\)

Total coins =\(\frac{63+36}{56}=\frac{99}{56}\)

Total coins = \(1\frac{43}{56}\)

Hence,

Natalie will have \(1\frac{43}{56}\) jars of coins all together after receiving John's coins.

The series converges for n = 1 (−1)n − 1 n4 7n

To test the series for convergence or divergence, we can use the alternating series test.

First, we need to check that the terms of the series are decreasing in absolute value. Taking the absolute value of the general term, we get:

|(-1)ⁿ-1/n4⁴ * 7n| = 7/n³

Since 7/n³ is a decreasing function for n >= 1, the terms of the series are decreasing in absolute value.

Next, we need to check that the limit of the absolute value of the general term as n approaches infinity is zero:

lim(n->∞) |(-1)ⁿ-1/n⁴ * 7n| = lim(n->∞) 7/n³ = 0

Since the limit is zero, the alternating series test tells us that the series converges.

Therefore, the series converges.

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The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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Answer: 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

got it correct on edge 2020

The sample space refers to option (c) the set of all possible experimental outcomes. In probability theory and statistics, a sample space represents all possible outcomes of an experiment or a random event.

The correct answer is c. The sample space refers to the set of all possible experimental outcomes. This includes every possible outcome that could occur in an experiment, whether or not it actually occurs. For example, if you flip a coin, the sample space would be {heads, tails}. This encompasses every possible outcome of the experiment. It provides a foundation for calculating probabilities and understanding the range of results that may occur in a given situation. Sample spaces can vary in size and complexity, depending on the nature of the experiment or event being studied. Understanding the sample space is crucial for making accurate predictions and informed decisions based on data.

Option a is also correct to some extent, as any particular experimental outcome can be considered a part of the sample space. However, it is not a complete definition of the sample space as it only focuses on one outcome and not all possible outcomes.

Option b is incorrect, as the sample space is not limited to just one particular experimental outcome. It is the set of all possible outcomes.

Option d is also incorrect as the sample space has nothing to do with the sample size or the number of participants in the experiment. It is solely based on the set of all possible outcomes of the experiment.

In conclusion, the sample space is the set of all possible experimental outcomes, including both successful and unsuccessful outcomes. It is an important concept in probability theory and is used to calculate the probability of specific events occurring in an experiment.

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Based on the amount of Nacho cheese corn chips and the calories per gram, the calories per party bag is 1,094.6 calories

First, convert ounces to grams:

= 1 ounce is 28.3495 grams

Party bag in grams:

= 15 x 28.3495

= 425.243 grams

The amount of calories is:

= 425.243 x 28.6% x 9

= 1,094.6 calories

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THE FIRST TERM( a) IS -8 AND THE DIFFERENCE IS

\(d = 0 - ( - 8) \\ d = 8\)

THE LOGIC OF ARITHMETIC SEQUENCE FOR THE 74th term is

\(t(74) = a + 73d \\ = - 8 + 73(8) \\ = - 8 + 584 \\ = 576\)

The 74th term is 576

ATTACHED IS THE SOLUTION

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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