f(x)=c^2. What is g(x)?


A. g(x)=2x^2
B. g(x)= (1/4x)^2
C.g(x)=1/2x^2
D. g(x)= (1/2x)^2

The integral ˆ«(1 to [infinity]) xe^-x2 dx, is  E) divergent, that is, an indefinite integral with an upper limit of infinity.

Let's use the following steps to evaluate indefinite integral:

ˆ«(1 to [infinity]) xe^-x2 dx

We can start by making a substitution to simplify the integral.

We substitute u = -x^2, du = -2x dx. When x approaches infinity, u approaches negative infinity, and when x is 1, u is -1.

Now we can rewrite the integral with the substitution:

ˆ«(-1 to -infinity) e^(u/2) du

Next, we can use the limit property of integrals to evaluate the integral as u approaches negative infinity:

lim[u->-infinity] ˆ«(-1 to u) e^(u/2) du

As u approaches negative infinity, e^(u/2) approaches zero, so the integral becomes zero or the integral converges to zero.

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Answer:

Step-by-step explanation:

the bus drives 60 miles in one our

Answer: y=60x or 60mph

Step-by-step explanation: If you divide 180 by 3, you get 60, which means in 1 hour the bus can go 60 miles.

Answer:

648. if you were meaning 36 x 18

but if you meant 36/18 then it is 2

Symbolic models are those that are based on mathematical formulas.

The goal of symbolic modelling is to help clients become more aware of their own "symbolic domain of experience," allowing them to create their own "metaphor landscape" and explore internal metaphors, which are believed by conceptual metaphor theory to influence behaviour.

What benefits do symbolic models offer?

One of the most significant and defining technologies of next-generation modelling methodologies is swiftly emerging as symbolic computation. It allows the freedom to easily create model equations, manage models more effectively, and reach the best outcomes more quickly.

Describe domain through an example.

the domain name example.com might be connected to the address 198.102. 434.8.

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Answer:

Because you cant combine unlike terms. And the goal is to get X by itself.

-9 is the answer

Step-by-step explanation:

Answer:

823,546,580,786

Step-by-step explanation:

If you look at the place values, that will help you determine the standard form. Hope this helps!

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

To test the null hypothesis that the mean of the population is 3 against the alternative hypothesis μ≠3, we can use a hypothesis test with a significance level α.

In hypothesis testing, we compare a sample statistic to a hypothesized population parameter. In this case, we want to determine if the mean of the population is significantly different from 3.

To conduct the test, we first collect a sample of data. Then, we calculate the sample mean and standard deviation.

We use these statistics to calculate the test statistic, which follows a t-distribution with (n-1) degrees of freedom, where n is the sample size.

Next, we determine the critical region based on the significance level α. For a two-tailed test, we divide α by 2 to get the critical values for both tails of the distribution.

Finally, we compare the test statistic to the critical values.

If the test statistic falls within the critical region, we reject the null hypothesis and conclude that the mean of the population is significantly different from 3.

Otherwise, if the test statistic falls outside the critical region, we fail to reject the null hypothesis.

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Answer:

Answer is $800 assuming that no tax is being applied

Answer:1 nickels =$0.05

1 dime= $0.1

Step-by-step explanation:

1 nickels =$0.05

1 dime= $0.1

let the number of nickels be x and that of dimes be y.

total number of coins is given by:

x+y=42

hence:

y=42-x.......i

total amount of cash will be:

0.05x+0.1y=3.30.........ii

substituting i in ii we get:

0.05x+0.1(42-x)=3.30

0.05x+4.2-0.1x=3.3

-0.05x=-0.9

x=-0.9/(-0.05)

x=18

hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24

The function\(f(a)=-2a^2-5a+4\) Therefore, the value of f(-3) is 1. Hence, the correct option is c. 1.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations.

A function in math is visualized as a rule, which gives a unique output for every input x.

Mapping or transformation is used to denote a function in math.

These functions are usually denoted by letters such as f, g, and h.

The given function is f(a) = -2a² - 5a + 4.

The required value is f(-3).

So we need to substitute a = -3 in the given function and then calculate the value of f(-3).

f(-3) = -2(-3)² - 5(-3) + 4

f(-3) = -2(9) + 15 + 4

f(-3) = -18 + 15 + 4

f(-3) = 1

Therefore, the value of f(-3) is 1.Hence, the correct option is c. 1.

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The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:

no it's not because is not

Answer:No because you can’t simplify 3/8 more and 1/4=2/8

Step-by-step explanation:

On solving the provided question, we can say that probability, P( use the freight elevator exactly four times) = 4/7 *100 = 57.1428571429 %

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

the favorable out come is 4 times

total outcomes = 7 times

Probability, P( use the freight elevator exactly four times) = 4/7 *100 = 57.1428571429 %

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Answer:

80

Step-by-step explanation:

14 × 20 = 280

1400 - 280 = 1120

1120 ÷ 14 = 80

Answer:

Step-by-step explanation:

Split the trapezoid as pictured below

Find its height and the upper base, then find the area of the trapezoid.

There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles

The above mentioned properties give us:

Now find the area:

Correct choice is B

Answer:

(x-7) x (x-8)

Step-by-step explanation:

Rewrite -15x to -7x - 8x to get the equation x^2-7x-8x+56.

Then X multiplied (x-7)-8x+56, equals X multiplied (x-7)-8(x-7)

Finishing (x-7) x (x-8)

Answer:

\(\displaystyle x= \sqrt[s]{\frac{y-c}{a}}\)

Step-by-step explanation:

\(\displaystyle y= ax^s+c\)

Subtract \(c\) on both sides.

\(\displaystyle y-c= ax^s+c-c\)

\(\displaystyle y-c= ax^s\)

Divide \(a\) on both sides.

\(\displaystyle \frac{y-c}{a} = \frac{ax^s}{a}\)

\(\displaystyle \frac{y-c}{a} = x^s\)

Take the root of \(s\) on both sides.

\(\displaystyle \sqrt[s]{\frac{y-c}{a}} =\sqrt[s]{x^s}\)

\(\displaystyle \sqrt[s]{\frac{y-c}{a}} =x\)

Answer:

\(x= \sqrt[s]{ \frac{y - c}{a} } \\ \)

Step-by-step explanation:

\(y = a {x}^{s} + c \\ y - c = a {x}^{s} \\ \frac{y - c}{a} = \frac{a {x}^{s} }{a} \\ \frac{y - c}{a} = {x}^{s} \\ \sqrt[s]{ \frac{y - c}{a} } = \sqrt[s]{ {x}^{s} } \\ x= \sqrt[s]{ \frac{y - c}{a} } \)

hope this helps you

Answer:

Organelle, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere.

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

Because you subtract $23-$11 to get the total you spent on avocados then you divide 12/4 because you bought 4 avocados

Answer:

3 dollars for each avocado.

Step-by-step explanation:

Since you had 23 dollars in the beginning and 11 dollars in the end, subtract to find out how much was used for the avacados.

23-11=12

Next, since you bought 4 avocados, you divide 12 by 4 to find out how much each cost.

12/4=3

Each avocado cost 3 dollars.

You can check by multiplying 3 by 4.

3x4=12

Then, add the 12 dollars spent to the 11 dollars left.

12+11=23 dollars

The square root of 29 is irrational, the solutions are also irrational.

A quadratic equation is a polynomial equation of the second degree, meaning it contains at least one term that is squared. It can be written in the form \(ax^2 + bx + c = 0\), where a, b, and c are constants and x is the variable. The solutions to a quadratic equation are the values of x that make the equation true. There are several methods for solving quadratic equations, including factoring, completing the square, and using the quadratic formula. Quadratic equations have a wide range of applications in mathematics, science, and engineering.

The given quadratic equation is:

\(a^2 - 5a = -1\)

To find the discriminant, we need to use the formula:

\(b^2 - 4ac\)

where a = 1, b = -5, and c = -1

A. Calculating the discriminant:

\(b^2 - 4ac\)

= \((-5)^2 - 4(1)(-1)\)

= 25 + 4

= 29

Therefore, the discriminant is 29.

B. Number of solutions for the quadratic equation:

Since the discriminant is positive, there are two real solutions for the quadratic equation.

C. Type of solutions

The solutions are real.

D. Type of solutions:

To determine whether the solutions are rational or irrational, we need to find the square root of the discriminant. Since the square root of 29 is irrational, the solutions are also irrational.

Therefore, the square root of 29 is irrational, the solutions are also irrational.

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Answer:

D

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its reciprocal.

6 ÷ 1/3

= 6 x 3/1

= 6 x 3

= 18

The number of sections of the board Shara has when she is finished cutting is 18 sections.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Length of the board = 6 feet

Length of the section = 1/3 feet

The number of 1/3 feet sections.

= 6 ÷ 1/3

= 6 x 3

= 18

Thus,

Shara when she is finished cutting will have 18 sections.

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Responder:

7.700

Explicación paso a paso:

Dado que:

Carmen va a la biblioteca cada 28 días

Rafael va a la biblioteca cada 25

Theresa cada 22 días.

Si todos se reunieron el 12 de septiembre, ¿cuándo volverán a reunirse?

Para obtener la fecha de su próxima reunión, multa el mínimo común múltiplo de los diferentes días en que Theresa, Rafael y Carmen van a la biblioteca

____28__25__22

__2_14__25___11

__2_7__25___11

__5_7__5____11

__5_7__1____11

__7_1__1____11

_ 11_1__1 ____1

Por lo tanto, el múltiplo común más bajo:

(2 * 2 * 5 * 5 * 7 * 11) = 7700

Por lo tanto, todos se volverán a encontrar en el nido 7.700 días

Answer:

F (-1,5)

Step-by-step explanation:

Since the problem gives you the graph, all you have to do is see which point falls in the shaded part. F is the answer since J is on the line. If the equality was less than or equal, then it would be F and J.

Answer:

1,5

Step-by-step explanation: there may be a negitive number

The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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On comparing the values, second graph represents the equation y=lnx+1

In mathematics, a logarithm is a function that calculates the power to which a given number, called the base, must be raised to produce a certain value. The logarithm of a number y to a base b is denoted as log_b y, and is defined as the exponent to which b must be raised to give y.

To graph the function y = ln(x) + 1, we can use the following steps:

Hence, Second graph represents the equation y=lnx+1.

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Two points

Slope

Answer:

8

Step-by-step explanation: