If f(7)=22, then f^-1(f(7))=?
Please help!!

Answer:

I didn't know if you meant that the circumference of tje hemisphere was 44 or if the circumference of the cirkel in which the hemisphere exists is 44 but you rearrange the numbers.

Step-by-step explanation:

The formula for calculating a circumference is 2×pi×r, with r as tje radius of the cirkel. So in this instance we get 2×pi×r=44. r=44/(2×pi)=7.00 centimeters. The total surface area of a cirkel=pi×r^2=pi×7.00^2=154.06 meters squared. 154.06/2=77.03 meters squared (hemisphere is half of a cirkel)

To find the total surface area of the hemisphere, first find the radius of the hemisphere using the formula for circumference. Then, use the formula for the total surface area of a hemisphere to calculate it.

To find the total surface area of the hemisphere, we need to first find the radius of the hemisphere. Since the circumference of the great circle is given as 44 cm, we can use the formula for circumference to find the radius: C = 2πr. Thus, 44 = 2πr. Solving for r, we have r = 44/(2π) = 7 cm.

The total surface area of a hemisphere is given by the formula A = 3πr^2. Plugging in the value of the radius, we get A = 3π(7^2) = 3π(49) = 147π cm^2.

So, the total surface area of the hemisphere is 147π cm^2.

Answer:

1,140 words

Step-by-step explanation:

57/3 = 19 words per minute

there are 60 minutes in an hour

19x60 = 1140

If Carol is able to type 57 words in 3 minutes, then in one hours time she will be able to type 1140 words.

Let the number of words typed in 1 hours be represented as y

So that;

57 words are typed in 3 min

We know that 60 minutes makes 1 hour

57 words typed in 0.05 hour

y words typed in 1 hours

We cross multiply

57 words × 1 hour = y × 0.05 hour

y = 57hours / 0.05 hours

y = 1140 words

If Carol is able to type 57 words in 3 minutes, then in one hours time she will be able to type 1140 words.

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Answer:  4 / -15

Step-by-step explanation:

Answer:

The relationship ⇒ 25x + 40y = 12,250

Step-by-step explanation:

The number of student memberships = x

The number of adult memberships = y

The monthly membership fee for a student = $25

The monthly membership fee for an adult = $40

The total fee = 25x + 40y

Al's Athletic Club receives $12,250 in membership fees for the month of January.

So, the relationship between x and y is:

25x + 40y = 12,250

For every 2 student memberships (2x$25=$50), there were 305 adult memberships.

To represent the relationship between the number of student memberships (2) and the number of adult memberships (y) at Al's Athletic Club for the month of January, we can use an equation based on the given information. Let's assume that there were 2 student memberships and y adult memberships in January. The monthly membership fees for students and adults are $25 and $40, respectively. The total membership fees collected for the month were $12,250.

The total fees can be represented as:

Total Fees = (Number of Student Memberships * Monthly Fee for Student) + (Number of Adult Memberships * Monthly Fee for Adult)

Using the given information, we can write the equation:

$12,250 = (2 * $25) + (y * $40)

Now, we can simplify this equation:

$12,250 = $50 + $40y

To isolate the variable y, we can subtract $50 from both sides of the equation:

$12,250 - $50 = $40y

$12,200 = $40y

Now, divide both sides by $40 to find the relationship:

y = $12,200 / $40

y = 305

So, the relationship between the number of student memberships (2) and the number of adult memberships (y) for the month of January is represented by the equation y = 305. This means there were 305 adult memberships in January for every 2 student memberships.

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Answer:

Step-by-step explanation:

a) increase

Increase = 200 -130 = 70

Percent increase = (70/130)*100 = 70*100/130 = 7*100/13

= 700/13

= 53.85%

Answer:

a) increase

Step-by-step explanation:

Step-by-step explanation:

17.

Opposite angles of a parallelogram are equal.

So [tex]3y^{\circ}=123^{\circ}[/tex]

⇒ y= [tex](\frac{123}{3})^ {\circ}[/tex]

and sum of adjacent angle is = [tex]180^{\circ}[/tex]

Therefore, [tex](2x-5)^{\circ} + 123^ {\circ}=180^{\circ}[/tex]

⇒[tex](2x-5)^{\circ} =180^{\circ}-123^ {\circ}[/tex]

⇒[tex]2x^\circ=57^\circ+5^\circ[/tex]

⇒x=[tex]31^\circ[/tex]

Therefore x=[tex]31^\circ[/tex] and y= [tex](\frac{123}{3})^ {\circ}[/tex]

18.

The diagonals  of rectangle bisect each other.

so, 2x=x+9

⇔2x- x=9

⇔x = 9 units

Again opposite sides are congruent.

So,3y -9 =y+12

⇔3y - y =12+9

⇔y [tex]=\frac{21}{2}[/tex] units =10.5 units

Therefore x = 9 units and y = 10.5 units

19.

[tex]3x^\circ=45^\circ[/tex]         [∵ they are transversal angles]

⇔[tex]x=15^\circ[/tex]

And opposite sides are equal

7y = 4y + 21

⇔7y - 4y = 21

⇔3y = 21

⇔y = 7 units

Therefore [tex]x=15^\circ[/tex] and y = 7 units

Answer:

ok

Step-by-step explanation:

asap

Answer:

Angle 2=   110 degrees

Angle 3 =  70 degrees

Angle 4 = 70 degrees

Step-by-step explanation:

Finding angle 2

In the figure attached below,the angles 1 and 2  Corresponding angles

When two lines are crossed by another line that is  called the Transversal, then, the angles in matching corners are called corresponding angles.

Corresponding angles are equal so

angle 2 = 110 degrees

Finding angle 3

Similarly 2 and 3 are consecutive angles and Consecutive angles are supplementary . That is the sum of the consecutive angles is 180 degree

then

angle 2  +angle 3 = 180

110  + angle 3 = 180

angle 3 = 180 -110

angle 3 = 70 degrees

Finding angle 4

Now angle 3 and angle 4 are alternate interior angle and they are equal

angle 3 = angle 4

so angle 4 is 70 degree

Answer:

110

70

70

Step-by-step explanation:

cause i got it right

The expressions for the given questions are substituted and solved using the provided values of x and y. The solutions for the four questions respectively are 109, 15, 19, and 92.

To evaluate the expressions for questions 5-8, you will need to substitute the values of x and y into each given expression.

Through these steps, you can understand how to substitute and solve such expressions.

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Answer:

1.032%

Step-by-step explanation:

y is some number and it is equal to -4x+2

y being that same number is also equal to x-3

therefore, we can equate -4x+2 and x-3 to get x-3 = -4x+2

This is the same as starting with y = -4x+2 and replacing the y with x-3

----------------

Let's solve for x

x-3 = -4x+2

x-3+4x = -4x+2+4x .... add 4x to both sides

5x-3 = 2

5x-3+3 = 2+3 .... add 3 to both sides

5x = 5

5x/5 = 5/5 .... divide both sides by 5

x = 1

With this x value, you can now find the y value. Pick any equation that has x and y in it. If we picked the first equation, then

y = -4x+2

y = -4*1+2 ... plug in x = 1

y = -4+2

y = -2

Or we can pick the second equation

y = x-3

y = 1-3 .... plug in x = 1

y = -2

-------------------------------------------------------------------------

Graphing the two lines will have them intersect at this location.

To find the slope, use the slope(m) formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]        and plug in the two points

(0, 5) = (x₁, y₁)

(-9, -4) = (x₂, y₂)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-4-5}{-9-0}[/tex]

[tex]m=\frac{-9}{-9}[/tex]    [two negatives cancel each other out and become positive]

m = 1      The slope is 1

the fraction form of 13.2857142857 is[tex]\( \frac{1195714285713}{90000000000} \).[/tex]

To convert the decimal 13.2857142857 into a fraction, we can follow these steps:

Step 1: Let x = 13.2857142857

Step 2: Multiply x by 10 to move the decimal one place to the right:

x = 13.2857142857

10x = 132.857142857

Step 3: Subtract the original x from 10x to eliminate the decimal:

10x - x = 132.857142857 - 13.2857142857

9x = 119.5714285713

Step 4: Simplify the equation:

9x = 119.5714285713

Step 5: Divide both sides by 9:

[tex]\[x = \frac{119.5714285713}{9}\][/tex]

Step 6: Simplify the fraction:

[tex]\[x = \frac{1195714285713}{90000000000}\][/tex]

Now, the fraction form of 13.2857142857 is[tex]\( \frac{1195714285713}{90000000000} \).[/tex]

Answer:

D

Step-by-step explanation:

3×16=48

4×12=48

Answer:

True

Step-by-step explanation:

Yes, but not all angles in the triangle will be 90 degrees.

Answer:

[tex] - \frac{53}{25} [/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over

100

. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

Answer:

12

Step-by-step explanation:

This is an example of Addition property between two positive integers (i.e. whole value numbers), which means the result will be positive and larger than the two numbers.

The result of the addition would be:

[tex]5 + 7 = 12[/tex]

Another way to do it if you are struggling a bit you can write the value of [tex]7[/tex] as [tex]7 = 5 +2[/tex] so then you can say:

[tex]5 + (5 + 2) = 5 + 5 + 2 = 10 + 2 = 12[/tex]

Answer:

13

Step-by-step explanation:

Answer:

(0,-4)

Step-by-step explanation:

see the image for explanation.

Answer:

( [tex]\frac{4}{3}[/tex], 0 )

Step-by-step explanation:

The x- intercept is where the graph crosses the x- axis. At this point the y- coordinate is zero.

Substitute y = 0 into the equation and solve for x, that is

3x - 4 = 0 ( add 4 to both sides )

3x = 4 ( divide both sides by 3 )

x = [tex]\frac{4}{3}[/tex] ← x- intercept

Answer:

The other 2 angles combined measure 70

Step-by-step explanation:

all of a triangle's angles together measure 180.

If one angle is 110 the other 2 would be 70.

Answer:

half a meter long

Step-by-step explanation:

Answer:

OPTION C

OPTION E

Step-by-step explanation:

Distributive property of Addition:

                            a(b + c) = ab + bc

In other words, 'a' is distributed over 'b' and 'c'.

Also, note that a mixed fraction, of the form [tex]$ \textbf{c} \frac{\textbf{x}}{\textbf{y}} = \textbf{c} + \frac{\textbf{x}}{\textbf{y}} $[/tex]

If a mixed fraction is of the type [tex]$ \textbf{-p}\frac{\textbf{q}}{\textbf{r}} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{-(p + } \frac{\textbf{q}}{\textbf{r}}) \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{-p} \hspace{1mm} \textbf{-} \hspace{1mm} \frac{\textbf{q}}{\textbf{r}} $[/tex]

OPTION A:

[tex]\textbf{3} \bigg ( \textbf{-4} \frac{\textbf{1}}{\textbf{2}} \bigg )[/tex]

This can be written as: [tex]$ 3 \bigg ( - 4 - \frac{1}{2} \bigg ) $[/tex]

Now, we distribute 3 over -4 and [tex]$ -\frac{1}{2} $[/tex].

[tex]$ = 3(-4) + 3\bigg (-\frac{1}{2} \bigg ) $[/tex]

Therefore, OPTION A is incorrect.

OPTION B: [tex]$ \textbf{2} \frac{\textbf{1}}{\textbf{4}} \bigg ( \textbf{1} \frac{\textbf{3}}{\textbf{4}} \bigg ) $[/tex]

Now, this is written as: [tex]$ 2 + \frac{1}{2} \bigg ( 1 + \frac{3}{4} \bigg ) $[/tex]

We have distribute 2 and [tex]$ \frac{1}{2} $[/tex] separately over 1 and [tex]$ \frac{3}{4} $[/tex].

So, we should have [tex]$ 2 (1) + 2 \bigg ( \frac{3}{4} \bigg ) + \frac{1}{2} (1) + \frac{1}{2}. \frac{3}{4} $[/tex]

So, OPTION B is incorrect.

OPTION C: [tex]$ \textbf{-4} \bigg( - 5 \frac{\textbf{1}}{\textbf{3}} \bigg ) $[/tex]

[tex]$ = - 4 \bigg ( -5 - \frac{1}{3} \bigg) $[/tex]

[tex]$ = -4(-5) + (-4) \bigg (- \frac{1}{3} \bigg ) $[/tex]

Hence, OPTION C is correct.

Similar method will help us know that OPTION D has used the Distributive property incorrectly and OPTION E has.

So, the answers are:

OPTION A

OPTION C

OPTION E

Answer:

17.1

Step-by-step explanation:

The required round of number 17.0891 to the nearest tenth is 17.1.

Given that,
To round the number 17.0891 to the nearest tenth.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,

Given number,
17.0891
Since the number on the tenth place after the decimal is 0 and the value next is 0.08 which is near to 0.1 so the number on the tenth place will increase by a unit and the whole number become,
= 17.1

Thus, the required round of number 17.0891 to the nearest tenth is 17.1.

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Answer:

The first operation performed when evaluating the given expression [tex]5+(\frac{9x-3}{2})[/tex]  for x=5 is given below :

Step 1: Put x=5 in the above given expression we get

[tex]5+(\frac{9(5)-3}{2})[/tex]

Step-by-step explanation:

Given equation is [tex]5+(\frac{9x-3}{2})[/tex] for x=5

To find the first operation performed when evaluating the given expression [tex]5+(\frac{9x-3}{2})[/tex]  for x=5

[tex]5+(\frac{9x-3}{2})[/tex]

Step 1: Put x=5 in the above expression we get

[tex]5+(\frac{9(5)-3}{2})[/tex]

[tex]=5+(\frac{45-3}{2})[/tex]

[tex]=5+(\frac{42}{2})[/tex]

[tex]=5+21[/tex]

[tex]=26[/tex]

Therefore [tex]5+(\frac{9x-3}{2})[/tex] for x=5 is 26

Therefore [tex]5+(\frac{9x-3}{2})=26[/tex] for x=5

Answer:

i believe the answer is C

Answer:

4 units

Step-by-step explanation:

if f to g is 2 units and h to i is one unit you just add thoes together because that is what the outside of the f to i is. And 7-3 is 4

hope this helps luvs

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The distance between the points G and H  on the line that contains points F, G, H, I, and J is 4 units.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given that a line contains points F, G, H, I, J. The space between F and G is 2. The space between H and I is 1. The space between F and I is 7. Therefore, the distance between the two points G and H on the given line can be written as,

GH = FI - FG - Hi

= 7 units - 2 units - 1 unit

= 4 units

Hence, the distance between the points G and H  on the line that contains points F, G, H, I, and J is 4 units.

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Answer:

0.457 for all the apex students

Step-by-step explanation:

b

The expected number of bases for Ichiro Suzuki in a typical at-bat in 2001 is approximately 0.448, which rounds to 0.441 (Option D) to the nearest thousandth. Thus , the correct option is D.

To calculate the expected number of bases for Ichiro Suzuki in a typical at-bat in 2001, we can use the following formula:

E(X) = (0 ×P(Out)) + (1 × P(Single)) + (2 × P(Double)) + (3 × P(Triple)) + (4 ×P(Home Run))

First, we need to calculate the probabilities for each outcome:

P(Out) = (692 - 192 - 34 - 8 - 8) / 692 = 450 / 692 ≈ 0.651

P(Single) = 192 / 692 ≈ 0.278

P(Double) = 34 / 692 ≈ 0.049

P(Triple) = 8 / 692 ≈ 0.012

P(Home Run) = 8 / 692 ≈ 0.012

Now, plug these probabilities into the formula:

E(X) = (0 × 0.651) + (1 ×0.278) + (2 × 0.049) + (3 × 0.012) + (4 × 0.012)

E(X) ≈ 0.278 + 0.098 + 0.036 + 0.036 ≈ 0.448

Rounding to the nearest thousandth, E(X) is approximately 0.448.

So, the answer to the question is D. 0.441, which is the closest option provided.

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