Choose all of the values that are solutions to the inequality x < -2.
A. X=-3
B. x=-4
C. x= -2
D. x= -1
E. x=0
F. x= 1

Answer : E and F

Answer:

Brainless please?

Step-by-step explanation:

1/3x +7=26

Answer:

They are all yes

Step-by-step explanation:

They are all linear

Answer:

the one with a blue line and dots

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Let x = smallest one

x       +    x+1     + x+2    + x+3    +x+4  = 330

5x + 10 = 330

5x = 320

x = 64

Answer:

The least integer is 64

Step-by-step explanation:

Let x+(x+1)+(x+2)+(x+3)+(x+4)=330

Open the bracket and collect like terms

x+x+x+x+x+1+2+3+4=330

5x+10=330

5x=330-10

5x=320

Divide both sides by 5

x=64

Answer:

5cm³

Step-by-step explanation:

Volume of rectangular prism formula= L×W×H

1/2×4×5/2=

2×5/2=

10/2=

5cm³

The speed of the current is 3 miles per hour. Answer: The speed of the current is 3 miles per hour.

.Let "t" be the time taken to travel 78 miles downstream and "t" be the time taken to travel 42 miles upstream.

The distance traveled downstream is 78 miles, so we can write:78 = (10 + x)t ... equation (1)

The distance traveled upstream is 42 miles, so we can write:42 = (10 - x)t ... equation (2)

Solving equations (1) and (2) for "t", we get:t = 78 / (10 + x) ... equation (3)

t = 42 / (10 - x) ... equation (4)

We can equate the value of "t" from equations (3) and (4) since the time is the same.

We get:78 / (10 + x) = 42 / (10 - x)

Multiplying both sides by (10 + x)(10 - x), we get:78(10 - x) = 42(10 + x)

Simplifying, we get:780 - 78x = 420 + 42x

Adding 78x and subtracting 420 from both sides, we get:120x = 360x = 3

Therefore, the speed of the current is 3 miles per hour. Answer: The speed of the current is 3 miles per hour.

Know more about speed here:

https://brainly.com/question/13943409

#SPJ11

Answer:

8/400, I presume. Sorry if I'm incorrect.

Answer:

8/400

Step-by-step explanation:

The fraction of resources used collectively by X individuals can be represented as X/R, where R represents the total resources available. The fraction of resources not being used is represented as (R-X)/R. The per-capita growth rate can be represented as dX/dt = kX, where k is the proportionality constant. The differential equation for the population's size is dX/dt = kX.

A detailed explanation:

a) If the current population size is X individuals, then the fraction of resources they are using collectively can be calculated as X/R, where R represents the total resources available. This calculation gives us the proportion of resources used by X individuals relative to the total resources available.

b) To calculate the fraction of resources not being used, we subtract the fraction of resources used by X individuals from 1. So, the fraction of resources not being used is (R-X)/R.

c) The per-capita rate of change of X can be represented as dX/dt = kX, where k is the proportionality constant. This equation states that the rate of change of X (dX/dt) is proportional to X and the constant of proportionality is k.

d) To convert the equation into a differential equation for the population's size, we simply make X' stand alone on the left-hand side of the equation. So, the differential equation for the population's size becomes dX/dt = kX.

e) This differential equation states that the rate of change of X (dX/dt) is proportional to X and the constant of proportionality is k. This equation can be used to model the growth of a population over time and to understand the relationship between the population size and the rate of change of the population.

To learn more about fraction, visit:

https://brainly.com/question/10354322#

#SPJ11

Complete questin:

If the current population size is X individuals, what fraction of the resources are they using collectively? c) In the same situation, what fraction of the resources are not being used? d) The per-capita rate of change of X can be written as 7%. The key assumption mentioned above says that this quantity is pro- portional to the expression you wrote down in part (c). Call the proportionality constant 1', and write an equation for the per-capita growth rate. e) Convert this equation into a differential equation (change equa- tion) for the population's size. (Just make X' stand alone on the left-hand side of the equation.)

The relationship between the mean and median can provide information about the shape of the distribution and the presence of outliers.

The mean and median can be either close to the same value or very different from one another, depending on the distribution of the data.

If the data is approximately symmetric, with no extreme values, then the mean and median will be close to each other. In this case, the data is evenly distributed around the central tendency of the data, so both measures provide a similar representation of the central value.

However, if the data is skewed, with one tail longer than the other, or if there are extreme values (outliers) present in the data, then the mean and median will be different.

In this case, the mean is pulled in the direction of the skew or outliers, while the median remains unaffected.

As a result, the mean may not provide an accurate representation of the central tendency of the data.

Read more about mean and median at

https://brainly.com/question/14532771

#SPJ1

Probability is 17.5% that 3 of them entered a profession closely related to their college

According to the statement

we have given that survey of 300 college graduates, 46% reported that they entered a profession closely and

We know that  For each college graduate, there are only two possible outcomes. Either they have entered a profession closely related to their college major, or they have not. The probability of a college graduate having entered a profession closely related to their college major is independent of other college graduates, so we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

This is P(X = 3) when n = 8. and the value of p is 0.46 put the value in the binomial formula then the outcome of answer will 17.5%

So, Probability is 17.5% that 3 of them entered a profession closely related to their college

Learn more about Binomial here https://brainly.com/question/13602562

#SPJ4

The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is

||A - A1||₂=0 where A is 2×2 matrix.

We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]

note here that C₂= 3C₁

where Cᵢ --> iᵗʰ column

v = [ 5 ; 6 ; -1 ; -4 ; 2]

||v||² = 82 => ||v|| = √82

and A At v = 820 v

and A At = [ 82 246 ; 246 738]

AAt [1;3] = 820[1;3]

=> v1 = 1/√10(1,3)^t

Then the best rank of 1 approx

= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]

= A

Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0

Hence, the minimal Approx. ||A - A1||2 = 0 .

To learn more about minimal of matrix, refer:

https://brainly.com/question/19084291

#SPJ4

Complete question:

Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?

Answer:

I think the one below is correct

Step-by-step explanation:

3a^2 + 2ab + c^2 = 0

To add scientific notation with different exponents, you need to adjust the exponents so that they are equal. Once the exponents are aligned, you can add or subtract the corresponding coefficients.

First, identify the numbers in scientific notation that you want to add. Let's say you have two numbers, A and B, expressed in scientific notation as A x 10^n and B x 10^m, where n and m are the exponents.

To add these numbers, you need to adjust one of them so that the exponents are the same.

Choose the number with the smaller exponent and multiply both its coefficient and exponent by the appropriate power of 10 to match the exponent of the other number.

For example, if n < m, you would multiply number A by \(10^{m-n}\), which means multiplying the coefficient of A by \(10^{m-n}\) and keeping the exponent of 10 as n.

Once the exponents are aligned, you can add or subtract the coefficients of the adjusted numbers.

This will give you the final result in scientific notation.

It's important to note that if the exponents are significantly different, adjusting the exponents may involve multiplying or dividing by large powers of 10, which can affect the precision of the final result.

Therefore, it's advisable to retain the appropriate number of significant figures in your calculations.

In summary, to add scientific notation with different exponents, you adjust one of the numbers by multiplying its coefficient and exponent by an appropriate power of 10 to match the exponent of the other number.

Then, you can add or subtract the coefficients and express the result in scientific notation.

Learn more about Exponent here:

https://brainly.com/question/30240586

#SPJ11

Answer: 61° and 119°

Step-by-step explanation:

So for the smaller angle you have to do:

1. 180-58=122

2. 122/2=61

Then you just add 61+58=119 for the larger angle

a. No, abaa is not R-related to abba.
b. No, aabb is not R-related to bbaa.
c. Yes, aaaa is R-related to aaab.
d. Yes, baaa is R-related to abaa.

The relation R is defined as having the same first two characters. So, to check whether two strings are R-related, we only need to compare their first two characters. If the first two characters are the same, then the strings are R-related. If not, then they are not R-related. For part a, abaa and abba have different second characters, so they are not R-related.

To understand why the strings in each part are R-related or not, let's look at each one in more detail.
a. Is abaa R abba?
To check if abaa is R-related to abba, we need to compare their first two characters. The first two characters of abaa are ab, and the first two characters of abba are ab. Since these are the same, we need to check if the remaining two characters are the same as well. However, the third character of abaa is a, while the third character of abba is b. Since these are different, abaa is not R-related to abba.
b. Is aabb R bbaa?
To check if aabb is R-related to bbaa, we need to compare their first two characters. The first two characters of aabb are aa, and the first two characters of bbaa are bb. Since these are different, aabb is not R-related to bbaa.
c. Is aaaa R aaab?
To check if aaaa is R-related to aaab, we need to compare their first two characters. The first two characters of both strings are aa. Since they are the same, aaaa is R-related to aaab.

To know more about relation visit :-

https://brainly.com/question/31111483

#SPJ11

Given:

Required:

To find the value of F(x) when x is close to 2.

Explanation:

From the given graph, when x is close to 2 the value of F(x) is 10000.

Final Answer:

The option A is correct.

10,000

Answer:

\(m^{\frac{3}{2} }\)

Step-by-step explanation:

Using the rules of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)  , \(a^{0}\) = 1

m² × \(m^{\frac{3}{2} }\) × \(m^{-2}\)

= \(m^{(2-2)}\) × \(m^{\frac{3}{2} }\)

= \(m^{0}\) × \(m^{\frac{3}{2} }\)

= 1 × \(m^{\frac{3}{2} }\)

= \(m^{\frac{3}{2} }\)

A Bessel function is a function that appears in the solutions to a class of differential equations called Bessel's equations.

To prove that sin x = 2 (J1 - J3 + J5 - ...), where J represents the first kind of the Bessel function:

We will begin by expressing the Bessel function's expansion in the form of a trigonometric series. Consider the Bessel function of the first kind, Jν(x), which is defined as follows:

Jν(x) = ∑(n=0 to ∞) ((-1)ⁿ / (n! Γ(ν + n + 1))) * (x/2)^(2n + ν)

We can see that it's not a straightforward trigonometric function, but we can manipulate it to fit the desired format by multiplying it by (xⁿ / n!) and summing up over all even n's:

sin x = ∑(n=0 to ∞) ((-1)ⁿ / (2n + 1)!) * x²ⁿ⁺¹

      = x * ∑(n=0 to ∞) ((-1)ⁿ / (2n + 1)!) * x²ⁿ

      = x * ∑(n=0 to ∞) ((-1)ⁿ * x²ⁿ / (2n + 1)!

      = x * ( (x / (1! * 3!)) - (x^3 / (3! * 5!)) + (x⁵ / (5! * 7!)) - ... )

Comparing the coefficients of x²ⁿ⁺¹, we get:

((-1)ⁿ / (2n + 1)!) = (2 / x^²ⁿ⁺¹* ((-1)ⁿ / (n! * (n+1)!))

                     = (2 / π) * ∫(0 to π) (cos((2n + 1)t) * sin(x * sin(t))) dt

Thus,

sin x = 2 * ∑(n=0 to ∞) ((-1)^n / (2n + 1)!)

     = 2 * ∑(n=0 to ∞) ((2 / π) * ∫(0 to π) (cos((2n + 1)t) * sin(x * sin(t))) dt)

     = 2 * ( (2 / π) * ∫(0 to π) (sin(x * sin(t))) dt) * J1(x)

Therefore, we have proven that sin x = 2 (J1(x) - J3(x) + J5(x) - ...) using the Bessel function's expansion in the form of a trigonometric series.

To know more about Bessel Function, click here

https://brainly.com/question/31422414

#SPJ11

Answer:

The first thing you need to do is open the bracket

4(b-6)+19

=4b -24 +19

collect like terms

4b=24 -19

4b =5

divide both sides by 4

4b/4=5/4

b=5/4 or 1.25

From the given statement, "The price of a Rolex watch in 1964 was $500. Today the price of a Rolex watch is $5,000," we can determine that Rolex watches are more expensive than they were in 1964.

Therefore, the correct option is A. Rolex watches are more expensive than they were in 1964.What is inflation?Inflation refers to the rate at which prices for goods and services rise and, as a result, money loses value. The consumer price index (CPI), which measures the changes in the prices of a basket of goods and services used by households, is the most common measure of inflation.

What is nominal variable?A nominal variable is one in which the values are categories. Nominal variables are qualitative variables, which means they describe a characteristic or attribute of the subject. Examples include gender, race, nationality, and religion.

To know more about Rolex visit:

https://brainly.com/question/11168707

#SPJ11

If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.

Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.

The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.

Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:

CPM = ($100,000 / 10,000,000) × 1000 = $10.

So, the CPM is $10.

To know more about Cost per thousand, here

https://brainly.com/question/6448600

#SPJ4

Answer:

1. Even Chance

2. Even Chance

3. No Chance

4. No Chance

5. Even Chance

(NOT SURE)

(but im sure)

Answer:

432 parts

Step-by-step explanation:

24 x 18 = 432

Answer: \(\{-10, 0 \}\)

Step-by-step explanation:

The range is the set of output values for the domain (the set of inputs).

So, the range is \(\boxed{\{-10, 0 \}}\)

Answer:

3

Step-by-step explanation:

Terms are separated by symbols for operations (like plus, minus, multiply, divide.)

So your terms would be

8y

+z

-6

The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

To learn more about the size of a sample, click on the below link:

https://brainly.com/question/14172957

#SPJ4

Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.