What’s the inverse of the function?
f(x)=3^x+1

Answer:

should be 2.24. I am sorry if I am wrong

Step-by-step explanation:

31.36÷14=2.24

Answer:

1  i think i looked it up on mathaway

Step-by-step explanation:

1

Answer:

B

Step-by-step explanation:

Because -15 + 2 = -13

We can see here that the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent is = 9.8%.

Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.

The probability of an event can be calculated using the following formula:

Probability = Favorable Outcomes / Total Outcomes

The number of possible passwords is:

26 × 26 × 26 × 26 × 26 × 26  = 308,915,776.

The number of passwords with no repeated letters is

26P6 = 30,260,000.

The probability of a password having no repeated letters is

= 30,260,000 / 308,915,776 = 0.09779 = 9.78%.

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Answer:

1

Step-by-step explanation:

a is greater than 0 and is inside the root of the equation

when a fraction is a power the bottom number of the fraction becomes the nth root and the top number becomes what the number is powered by

in this case the bottom number is 3 so the three goes on the place where the nth root goes

it is to the c power so c is on the outside

When a > 0 and c is a positive integer. Then the equivalent expression of the given expression is given below.  Then the correct option is A.

\((4a)^{c/3} = (\sqrt[3]{4a}) ^c\)

The equivalent is the expressions that are in different forms but are equal to the same value.

When a > 0 and c is a positive integer.

Then the expression \((4a)^{c/3}\) is equivalent to

Then the expression can be written as

\((4a)^{c/3} = (\sqrt[3]{4a}) ^c\)

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The time taken for the rocket to reach its maximum height is; 2.25 seconds.

The maximum height reached by the toy rocket whose initial velocity is; 72 feet per second is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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Answer:

  25 yards long, 5 yards wide

Step-by-step explanation:

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating these two variables:

  A = LW   ⇒   125 = xy

  P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

  y = 30 -x

Substituting into the first equation gives ...

  125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

  125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have ...

  x = 5, y = 30-5 = 25

or

  x = 25, y = 30 -25 = 5

The rectangle dimensions are 5 yards by 25 yards.

__

Additional comment

The two equations can also be solved graphically, as in the attachment.

The rectangle will be 25 yards long, and 5 yards wide.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating to these two variables:

 A = LW   ⇒   125 = xy

 P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

y = 30 -x

Substituting into the first equation gives ...

125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have.

x = 5, y = 30-5 = 25

x = 25, y = 30 -25 = 5

Therefore, the rectangle will be 25 yards long, and 5 yards wide.

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$15,556.84

Paulanwill have approx $15,556.84 if she investb$5k that earns 4.10% apr compound quarterly..

Answer:

I’m pretty sure it’s $11,780.60

Step-by-step explanation:

We can use the formula for compound interest to determine how much money Paula will have in 25 years:

A = P(1 + r/n)^(nt)where:A = the total amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have:

P = $5,000

r = 4.10% = 0.041 (as a decimal)

n = 4 (compounded quarterly)

t = 25 years

Plugging these values into the formula, we get:

A = $5,000(1 + 0.041/4)^(4*25)

A = $5,000(1 + 0.01025)^100

A = $5,000(1.01025)^100

A = $5,000(2.356)

A = $11,780.60

Therefore, Paula will have approximately $11,780.60 in her account after 25 years.

The value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

It is given that the expression is,

x + 20 ≤ -10

Rearrange the expression as

x≤ -10-20

x≤ -30

Thus, the value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

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Answer:

NE = 37

MD = 3\(\sqrt{65}\)

Step-by-step explanation:

NOTE: This explanation assumes you have basic knowledge of circumcenters, the Pythagorean Theorem, and pre-algebra

Assuming the calculations you so kindly did for us are correct:

To find NE

Simply plug x, which you found was 5, into the equations 13x-28, then you have the length of the line NE, which is 37.

So

NE = 37

To find MD

A little bit trickier, but still simple. You end up having to use the Pythagorean Theorem. Since NE = ME, you know that ME is equal to 37. Since triangle MED is a right triangle, and you're given on the the side ED (which is 28), and the hypotenuse, ME (which is 37), you can say that

28^2 + b^2 = 37^2

784 + b^2 = 1369

b^2 = 585

b = 3\(\sqrt{65}\)

(In which b is MD)

So

MD = 3\(\sqrt{65}\)

Answer:                                                                                                                                                      

2                                                                                                                                                       Step-by-step explanation:

in the places there is X you put -3 , -3 squared minus 7 is equal to 9 , 9-7 is equal to 2

Answer:

\( \large{ \tt{❃ \: EXPLANATION}} : \)

\( \large{ \tt{❁ \: LET'S \: START}} : \)

\( \large{ \tt{⋆ \: f( - 3) = {( - 3)}^{2} - 7}}\)

\( \large{ \tt{↦ \: f( - 3) = ( - 3) \times ( - 3) - 7}}\)

\( \large{ \tt{↦f( - 3) = 9 - 7}}\)

\(↦ \large{ \tt{f( - 3) = \boxed{ \tt{2}}}}\)

\( \tt{✺ \: COMFORT \: IS \: THE \: ENEMY \: OF \: ACHIEVEMENT\: ♪}\)

♡ Hope I helped! ♕

☃Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Yes, Matrix B is invertible.

And, The eigenvalues of B−1 are;

⇒ (5 ± 7.68) / 14 - 1

An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.

Given that;

B be a 2 ×2 matrix such that;

⇒ 7B² −5B + 3I = 0

Now,

Since, B be a 2 ×2 matrix.

And, The expression is,

⇒ 7B² −5B + 3I = 0

⇒ B² −5/7B + 3I/7 = 0

Multiply by B⁻¹, we get;

⇒ B - 5/7 + 3B⁻¹ = 0

Solve for B⁻¹;

⇒ 3B⁻¹ = - B + 5/7

⇒ B⁻¹ = - B/3 + 5/21

Thus, The matrix B is invertible.

And, The eigen value of B are;

⇒ 7B² −5B + 3I = 0

⇒ 7B² −5B + 3I = 0

⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7

⇒ B = 5 ± √25 - 84/14

⇒ B = 5 ± √- 59 / 14

⇒ B = 5 ± 7.68 i / 14

⇒ B - 1 = (5 ± 7.68) / 14 - 1

Thus, Matrix B is invertible.

The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1

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Answer:

Here is the answer . hope this helps.

Answer:

6  3/5

Step-by-step explanation:

finding the difference?

im guessing you might wanna ask your teacher? ummmmm....

Answer:

3/5

Step-by-step explanation:

1/2 can be written as 50%

2/3 can be written as 66.66%

3/5 can be written as 60%

Here

Step-by-step explanation:

The example fractions of 1/2, 2/3 and 3/4 with common denominators become 6/12, 8/12 and 9/12. The numerator 8 is between 6 and 9, so the fraction you created – 8/12, or 2/3 when simplified – is between the two fractions you started with.

\({\Large \begin{array}{llll} y=2x^2+bx+c \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=-1\\ y=-5 \end{cases}\implies -5=2(-1)^2+b(-1)+c \implies -5=2-b+c \\\\\\ -7=-b+c\implies b-7=c \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=10 \end{cases}\implies 10=2(2)^2+b(2)+c\implies 10=8+2b+c\)

\(2=2b+c\implies \stackrel{\textit{substituting "c"}}{2=2b+(b-7)}\implies 2=3b-7\implies 9=3b \\\\\\ \cfrac{9}{3}=b\implies \boxed{3=b}\hspace{5em}\stackrel{\textit{we know that}}{b-7=c}\implies \boxed{-4=c} \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=2x^2+3x-4 \end{array}} ~\hfill\)

Check the picture below.

Answer:

Your answer should be 8g^15

Step-by-step explanation:

If cubed (power of 3) is on a parenthesis, that means you have to cube every expression inside that parenthesis. In order to distribute exponents, mutliply them. This gives you g^5 times ^3, which is g^15. ^3 has to also be distributed to the 2, which is 2^3 = 8. 8 and g^15 is 8g^15.

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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The correct option is (b) i.e. The cosecant of an angle is defined as the length of the hypotenuse over the length of the side opposite.

What is Trigonometric ratio?

Trigonometric ratios are mathematical functions used in trigonometry, which is the branch of mathematics that deals with the relationships between the sides and angles of triangles. The three main trigonometric ratios are sine, cosine, and tangent

All statements contain some sort of mistake except the statement (b).

The statements should be corrected as given below:

A). The cosine of an angle is defined as the length of the side adjacent over the length of the hypotenuse.

C). The cotangent function is defined as the length of the side adjacent over the length of the side opposite.

D). The sine function is defined as the length of the side opposite over the length of the hypotenuse.

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The amount of calories that Jessica burns each hour of her hike is 196.33 calories.

Division is when a number is grouped into equal groups using another number. The sign used to denote division is ÷.

Calories burn per hour = 589 / 3 = 196.33 calories.

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Using it's concept, the standard deviation of the data is of 3.742.

For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

\(S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742\)

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Answer:

b= 20 • c

b is equalled to how many bottles, which c is equalled to how many cases, since there is no number for how many cases then is just the variable "c".

The equation representing the number of bottles is c = 20b

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, Madison ordered c cases of the bottle with each case having 20 bottles,

So, for c cases she will have 20b bottles.

The equation is :-

c = 20b

Here,

c is dependent variable

b is independent variable

Hence, the equation representing the number of bottles is c = 20b

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Answer:

2^5

hope it helps....,.

Answer:

6^2

Step-by-step explanation:

2^5 = 32

6^2 = 36

1^10= 1

3^3 = 27

Answer:

(3,-1)

Step-by-step explanation:

So we have the system of equations:

\(3x+y=8\\2x-y=7\)

As directed, add straight down. The y-variable will cancel:

\(5x=15\)

Now, divide both sides by 5. The left cancels:

\(x=3\)

So x is 3.

Now, substitute 3 for x in either of the equations:

\(3x+y=8\)

Substitute 3 for x:

\(3(3)+y=8\)

Multiply:

\(9+y=8\)

Subtract 9 from both sides:

\(y=-1\)

So, our answer is: x=3, y=-1 or (3,-1).

And we are done :)

Answer:

The answer is option 1

Answer:

Option 1

Step-by-step explanation:

A: (x^a) / (x^a) = x^(a - a) = x^0

B: Anything divided by itself is 1, so x^a / x^a = 1.

C: If x^a / x^a = x^0 from Part A and x^a / x^a = 1 from Part B, then x^0 = 1.

Reflect: 1. To complete Part A, we used the quotient rule for exponents.

Hope this helps!

Answer:

Step-by-step explanation:

A

\(\frac{x^{a} }{x^{a} } = x^{a-a} =x^{0}\)

B

Anything divided by itself is 1, so \(\frac{x^{a} }{x^{a} } = 1\)

C

If \(\frac{x^{a} }{x^{a} } = x^{0}\) from part A, and \(\frac{x^{a} }{x^{a} } =1\) from part B, then \(x^{0} = 1\)

Reflect:

Properties of exponents