What is the standard form of function f?


f(x)=4(x+6)+5


Substitute numerical values into the equation for a, b, and c.

Answer:

23

Step-by-step explanation:

14x2=28-5=23

Answer:

23

Step-by-step explanation:

add 14+14= 28-5=23

Answer:

D 40,000nm

Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um

Therefore in 40 microns there are:

40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm

The human hair is 40,000 nanometers wide.

Option D is the correct answer.

Given,

A human hair is approximately 40 microns (um) wide.

1 um is equal to [tex]10^{-6}[/tex] meters (m)

1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.

We need to find how many nanometers wide is human hair.

We can add the exponents if we have the same base.

Example:

a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]

[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]

We have,

Human hair = 40 microns (um) wide.

And,

1 um = [tex]10^{-6}[/tex] m

1 nm = [tex]10^{-9}[/tex] m

[tex]10^{-9}[/tex] m = 1 nm

Multiplying by 10³ on both sides.

[tex]10^{-9}[/tex] x 10³ = 10³ nm

[tex]10^{(-9+3)}[/tex] = 10³ nm

[tex]10^{-6}[/tex] m = 10³ nm

1 um = [tex]10^{-6}[/tex]m

1 um = 10³ nm

Human hair = 40 um

1 um = 10³ nm

Multiplying 40 on both sides.

40 x 1 um = 40 x 10³ nm

40 um = 40 x 1000 nm

40 um = 40,000 nm

Thus human hair is 40,000 nanometers wide.

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Answer:

Step-by-step explanation:

The true statements about the scenario are;

The standard form of a geometric sequence is expressed as:

[tex]Tn = ar^{n-1}[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the expression [tex]h(n)=300(\frac{3}{4} )^{n-1}[/tex]

Compare and contrast

a = 300

This shows that the first term of the sequence is 300.

Also, a function represents a geometric sequence

Hence the true statements about the scenario are;

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Answer:

1.)  1 ,2, 31, 62

2.)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1.)  1x62= 62

2x31= 62

31x2= 62

62x1=62

Each of these number are a multiple of 62.

2.) 1x45=45

3x15=45

5x9= 45

9x5= 45

3.) 420÷2= 210

420÷3= 140

420÷5= 84

420÷6= 70

420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420

540÷2= 270

540÷3= 180

540÷5= 108

540÷6= 90

540÷9= 60

540÷10= 54

2, 3, 5, 6, 9 and 10 is divisible by all of these numbers

Answer:

1)  1 ,2, 31, 62

2)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1)  62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.

2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.

3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list.  The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.

-kiniwih426

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = (14,4)² - 9²

x² = 207,36 - 81

x² = 126,36

x = 11,2

Answer:

A.

Step-by-step explanation:

Cubic because the highest exponent is 3.

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic. Hence, option A is correct.

Generally, polynomials take the form,

P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z

where:

a, b....= arbitrary constants

x = variable

n = highest power of the variable in the polynomial

The given polynomial is P(x) = x^3−1

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic.

Cubic function is one that has the highest exponent is 3.

Hence, option A is correct.

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Answer:

I can't help you if there's no picture lol

Answer:

absolute value of n - 29

Step-by-step explanation:

n - 29

Parenthises

Exponent

Multiply

Divide

Add

Subtract

The answer is true because it comes before subtraction in the phrase PEMDAS.

Answer:

true

Step-by-step explanation:

please

excuse

my

dear

aunt

sally

aunt is the addition while sally is subtraction therefore it is true hope this helps!! :D

Answer:

we need more information to solve your problem.

Step-by-step explanation:

Answer:

answer a

Step-by-step explanation: cause it will equal up and it has to be negitive on answer so u divided it and youll get a

Answer:

k = 6

Step-by-step explanation:

Answer:

6,1 because 61's square root is 3721

Answer:

Step-by-step explanation:

Answer:

Let's see what we have here. A shopkeeper sold Item X for a his selling price (SP).

Let SP = x

Since the question says that Profit is 25% of the selling price, we have:

Profit = 25% SP = 0.25x

Now, we already know that:

Profit = SP - Cost

This part is the catch. To find out how much Item X originally cost,

Cost = SP - Profit = x - 0.25x = 0.75x

Now that we know the original cost of Item X, we can easily calculate the Real profit % using this formula:

= (Profit/Cost)*100

= (0.25x/0.75x)*100

= 33%

And there you have it. Hope I explained it clear enough.

Answer:

Step-by-step explanation:

Cost price = CP = ₹ 25,000

Profit% = 25%

Selling price = SP

[tex]SP =\dfrac{100+profit}{100}*CP\\\\\\=\dfrac{100+25}{100}*25000\\\\=\dfrac{125}{100}*25000[/tex]

= 125 * 250

= ₹31250

Answer:

Ann drove  miles

Step-by-step explanation:

You have to do 180 / 5 = 36 wich is how many miles is in 1 gallon

Then you do 36x8 = 288

Hope this helps !!

Have a blessed day <333

Answer:

Step-by-step explanation:

Answer: [tex]4\sqrt{5}[/tex]/9.0

Step-by-step explanation:

Simple way: Pythagorean Theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

C being hypotenuse. A and B are bases that are interchangeable.

In this question, you are missing the hypotenuse.

a= 8, b=4 c=?

[tex]8^{2}+4^{2}=c^{2}[/tex]

[tex]64+16=c^{2}[/tex]

To get rid of [tex]c^{2}[/tex]. Square both sides.

[tex]\sqrt{64+16} =\sqrt{c^{2} }[/tex]

[tex]\sqrt{80}=c[/tex]

Simplify [tex]\sqrt{80}[/tex]

[tex]\sqrt{4*4*5} =4\sqrt{5}[/tex]

or 9.0

Answer:

60 students are divided into equal groups of 5 student each.

Groups of 5 students per group totaled up to 60 students.

The quotient in both expression is 60:5 = 12 students per group.

Step-by-step explanation:

The ratio expression is a way of expressing the division of numerator by a denominator.

Here,

The total number of students is the numerator = 60

The denominator is the number of students per group = 5

Hence, the quotient is the value of the divison obtained which is (60/2) = 12

Therefore, there are 12 groups of 5 students.

Answer:

$306

Step-by-step explanation:

Adult cost = no of adult × adult cost

no of adult = 12

adult tickets cost = $8

= 12 x $8

= $96

kids cost = no of kids x kids tickets cost

no of kids = 42

kids tickets cost = $5

= 42 x $5

= $210

total sales for the theatre =$96 +$210

= $306

I hope this is the right answer and if it's not then my apologies.

And sorry it took so long.

equation: 3x + 2.06 = 5.06

x = 1

Step-by-step explanation:

The cost of each bottle is $1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Enola bought a bag of oranges for $2.06 and a 3-pack of juice bottles.

The total cost before tax was $5.06.

let the cost of one juice bottle be x.

So, the equation is

2.06 + 3x = 5.06

3x = 5.06 - 2.06

3x= 3

x= 1

Hence, the cost of each bottle is $1.

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Answer:

x=-3.33

Step-by-step explanation:

-5=15x

x=-5/15

x=-3.33

Answer:

x=negative [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

15x=-5

\frac{15x}{15}=\frac{-5}{15}

x=-\frac{1}{3}

Hopes this help

Answer: 14

Step-by-step explanation:

The s is equal to the change of y/change of x. That means you have to subtract 4 and -10, and the denominator is 9 minus 8. It looks like this:

m=4-(-10)/9-8

m=4+10/9-8

m=14/1

m= 14

Answer

with

Step-by-step explanation:

Statement      Reasons

1.∠1 ≅ 4             Given

2.∠1 = ∠2           Being Vertically opposite angles.

3.∠4 = ∠3          Being Vertically opposite angles.  

4.∠2 = 3             From Statement no 2 & 3, Transitive property.

5.∠2 ≅ 3            From Statement 4

Proved.