Assume that a positive integer cannot have 0 as its leading digit. (a) How many five-digit positive integers have no repeated digits at all

The statement -4 is not in the domain of f(g) is true.

The domain is defined by the set of values of independent variables. The set of inputs that a function will accept is known as the domain of the function in mathematics. The collection of all potential inputs for a function is known as its domain.

In a function for each domain, we get a possible output from dependent variable which is termed as range.

From the diagram shown -4 cannot be used as domain because the output might be an imaginary number.

So, -4 is not in the domain of f(g) is true

hence, -4 cannot be a domain of given function f(g)

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The statement -4 is not in the domain of f(g) is true.

What is domain?

The domain is defined by the set of values of independent variables. The set of inputs that a function will accept is known as the domain of the function in mathematics. The collection of all potential inputs for a function is known as its domain.

What is range?

In a function for each domain, we get a possible output from dependent variable which is termed as range.

From the diagram shown -4 cannot be used as domain because the output might be an imaginary number.
So, -4 is not in the domain of f(g) is true
hence, -4 cannot be a domain of given function f(g)

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Answer:

the first one is your answer

Step-by-step explanation:

I hope it help ^_^

have a great day!!

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Given,

\(h(x) = {6x}^{2} + {4x}^{4} + 7x\)

\(g( x) = {6x}^{2} - 4x + {3x}^{4} \)

Therefore,

\(h(x) + g(x)\)

\(( {6x}^{2} + {4x}^{4} + 7x) + ({6x}^{2} - 4x + {3x}^{4})\)

\( {6x}^{2} + {4x}^{4} + 7x + {6x}^{2} - 4x + {3x}^{4}\)

\((4 {x}^{4} + 3 {x}^{4} ) + ( {6x}^{2} + {6x}^{2} ) + (7x - 4x)\)

\( {7x}^{4} + {12x}^{2} + 3x\)

Please look at the attachment!! :)

Answer:

\(r=4.38\)

Step-by-step explanation:

Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)

\(\frac{d}{t} = \frac{rt}{t}\)

\(t\) cancels out on the right side.

Step 2: Substitute in the numerals

\(r=\frac{d}{t}\)

\(r=\frac{5.7}{1.3}\)

Step 3: Divide

\(r=4.38\) \(mph\)

There's your answer!

Hope this helps you!

Answer:

p=2

Step-by-step explanation:

4p+2≤10

    -2   -2

4p≤8

divide by 4

p≤2

Answer:

p ≤ 2

Step-by-step explanation:

Given sequence:

To find the 109th term, we need to first determine whether the sequence follows an arithmetic progression or a geometric progression.

Check

The sequence is arithmetic if the successive terms of the sequence are formed by adding or subtracting a value.

The sequence is geometric if the successive terms of the sequence are formed by multiplying or dividing by a value.

We have that:

first term = 1/2

second term = 1

third term = 3/2

Taking the difference of the second term from the first term:

Taking the difference of the third term from the second term:

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 center is  0.275

 \(SE = 0.063\)

b

 center is  0.275

 \(SE = 0.020\)

Step-by-step explanation:

considering question a

From the question we are told that

   The sample size is  n  =  50

 The proportion of  US adults are college graduates is  p = 0.275

Generally the center is equivalent to the proportion so the center is  0.275

Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 50} }\)

=>   \(SE = 0.063\)

considering question b

    The sample size is  n  =  500

      The proportion of  US adults are college graduates is  p = 0.275

     Generally the center is equivalent to the proportion so the center is  0.275

     Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 500} }\)

=>   \(SE = 0.020\)

In the sampling distribution, the center of the sampling distribution is 0.275 and the standard error is 0.063.

A sampling distribution simply means the probability distribution that is gotten from a larger number of samples that are drawn from a population.

In this case, the center of the sampling distribution is 0.275 and the standard error is 0.063. The standard error will be:

= [p × (1 - p)]/n

= [0.275 × (1 - 0.275)]/50

= 0.0039875

= ✓0.0039875

= 0.063

Also, when the sample is 500, the center of the sampling distribution is 0.275 and the standard error is 0.020.

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Step-by-step explanation:

i would love to say 2 but the word had shows that he does not have 3 apples anymore so the answer is either

0 or -1

The number of apples left after taking the 1 apple from 3 apples by a person is 2 apples.

Subtraction stands for the resultant number, which exists acquired by taking the difference of a number from another number.

Let a number be subtracted from the number b. Then the consequent number after subtracting b from a will be,

d = b - a

Here, (a, b) exists the real numbers.

It exists given that there exist 3 apples. 1 apple stand was taken. Let's assume after taking the 3 apples, that there exist x apples remaining.

As there exist a total of 3 apples and 1 apple stand taken, then to estimate the number of apples left, we must subtract 1 apple from 3 apples.

Therefore, the total apples left exist,

x = 3 - 1

x = 2

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Answer:

Step-by-step explanation:

) Do you expect the distribution of number of friends made online to be symmetric, skewed to the right, or skewed to the left?

Skewed to the left.

Symmetric

Skewed to the right.

(b) Two measures of center for this distribution are 1 friend and 5.3 friends. Which is most likely to be the mean and which is most likely to be the median?

Mean=

Median=

a)

as proportion of people with 0 friends is 43% whcih is on left side and maximum ; and % decrease with increasing number of friends

skewed to the right

b)

as it is skewed to the right ; therefore mean is greater than median

mean=5.3

median=1

[since for skwewed to the right distribution :mean is always greater than median, therefore higher value should be mean which is 5.3 and lower value is median which is 1]

Part(a): Skewed to the right

Part(b) The required values are,

mean=5.3

median=1

a)

As a proportion of people with 0 friends are 43% which is on the left side and maximum; and % decrease with an increasing number of friends

skewed to the right

b)

As it is skewed to the right; therefore mean is greater than the median

mean=5.3

median=1

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Answer:

x⁴ - x³ + 2x - 6

Step-by-step explanation:

Apparently i cannot write the equation needed so we will call it r(x) and the 2 given equations, a(x) and b(x) respectively

r(x) is the same as a(x) - b(x)

a(x) - b(x)

= x⁴ - 3x² + 5x - 7 -(x³ - 3x² + 3x -1)

= x⁴- x³ + (- 3x² + 3x²) + (5x - 3x) + (- 7 + 1)

= x⁴ - x³ + 2x - 6

Answer:

The points  -3, 5 and 8 are included in the solution set

Step-by-step explanation:

2 ≤ |x-3| ≤ 6

x-3 ≥ 2 or x-3 ≤ -2       -->      x ≥ 5 or x ≤ 1

-6 ≤ x-3 ≤ 6   -->  -3 ≤ x ≤ 9

-9  and -5 are smaller than -3 so they don't hold for the second inequality. -3  fits in both. but 0 and 2 don't fit in the first one.

then 5 does and 8 is included too.

The points  -3, 5 and 8 are included in the solution set

Answer: Well, everyone hide and they call the police to solve that kidnapping problem at school

Step-by-step explanation:

Step-by-step explanation:

If 1.7 grams of gold is worth the same as 130 grams of silver, then 1000 grams of silver would be worth approximately 588.24 grams of gold.

To find out how much silver would 10 grams of gold be worth, you need to divide the value of the gold by the value of the silver. According to the information you've provided, 10 grams of gold is worth 130 grams of silver.

The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

The answer to this question is choice B

"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

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Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Answer:

Step-by-step explanation:

A = length x width = (2w + 5)(w) = 2w² + 5w

P = 2(2w + 5) + 2w = 6w + 10

To graph:  sorry, Brainly doesn't have graphing tools so I'll just have to describe it

A:  parabola, opens up, vertex at (-1.25, -3,124), crosses x axis at (-2.5, 0) and (0,0)

P:  straight line, slants up, with a slope of 6, y-intercept of 10, crosses x axis at (-1.667, 0)

FYI, the 2 graphs intersect at 2 points:  (-2, 2) and (2.5, 25)

Answer:

x = 9 , y = 12

Step-by-step explanation:

Solve the following system:

{4 y - 5 x = 3

x = 2 y - 15

Hint: | Perform a substitution.

Substitute x = 2 y - 15 into the first equation:

{4 y - 5 (2 y - 15) = 3

x = 2 y - 15

Hint: | Expand the left-hand side of the equation 4 y - 5 (2 y - 15) = 3.

4 y - 5 (2 y - 15) = 4 y + (75 - 10 y) = 75 - 6 y:

{75 - 6 y = 3

x = 2 y - 15

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{75 - 6 y = 3

x = 2 y - 15

Hint: | Isolate terms with y to the left-hand side.

Subtract 75 from both sides:

{-6 y = -72

x = 2 y - 15

Hint: | Solve for y.

Divide both sides by -6:

{y = 12

x = 2 y - 15

Hint: | Perform a back substitution.

Substitute y = 12 into the second equation:

{y = 12

x = 9

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 9 , y = 12

Answer:

Part a: Answer is 1/2

78-3/1500 = 75/150

= 1/2

Part b: Answer is -1/2

3-78/300-150

=-75/150

= -1/2

Part c: No, the two rates aren't the same,

because one is positive and the other is

negative.

Part d: The rate of change of the function

determined by using the two pairs of

coordinates is not the same. So, the

function modeling the movement of the

ball is a nonlinear function

Answer:

The answer is 13.

Step-by-step explanation:

n ÷ 7

= 91 ÷ 7

=13

Answer:

Step-by-step explanation:

Okay so solving an inequality is essentially the same as solving an expression, just with a different symbol.

We can first separate the x to the left and whole numbers to the right side.

TIP INPORTANT: Put your variable numbers on the left side and your whole numbers which are the numbers without variables on the right side

so,

4x ≤  10 + 2

which is,

4x ≤  12, therefore,

x ≤  3.

Hope this helps!

The solution is x ≤ 3

What is an Inequality Equation?

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

4 x - 2 ≤ 10

Adding 2 on both sides , we get

4 x ≤ 12

Divide by 4 on both sides , we get

x ≤ 3

Hence , the solution is x ≤ 3

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Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Answer:  4:9

Step-by-step explanation:

The complete question is provide in the attachment below.

Given, Number of females = 125

Number of males = 100

Total people = 120+100=225

Now, the ratio of males to the total number of people present = \(\dfrac{\text{Total number of males}}{\text{Total people}}\)

\(=\dfrac{100}{225}\)

Divide numerator and denominator by 25 , we get

Ratio of males to the total number of people present =\(\dfrac{4}{9}\)

Hence, the ratio of males to the total number of people present =  4:9

Answer:

\(4x^{3} +6\)

Step-by-step explanation:

\(5*x^3\\\\=5x^3\)

\(6-x^3\)

I understand as increase as sum so

\((5x^3)+(6-x^3)\\\\5x^3+6-x^3\\\\(5-1)x^3+6\\\\4x^3+6\)