Find the area of the sector.

Answer:

[tex]f^-^1(f(3.14))=3.14[/tex]

[tex]f(f(-7))=5[/tex]

Step-by-step explanation:

Hi there!

[tex]f^-^1(f(x))=x[/tex]

Therefore,  [tex]f^-^1(f(3.14))=3.14[/tex]

[tex]f(f(-7))[/tex]

The table tells us that f(-7) is equal to -12.

[tex]f(-12)[/tex]

The table also tells us that f(-12) is equal to 5.

[tex]5[/tex]

I hope this helps!

Answer:

(-3, -10)

(-1,-2)

(1,6)

(4,18)

(5,22)

Step-by-step explanation:

-3 ---> 4(-3) + 2 = -10

-1 ---> 4(-1) + 2 = -2

1 ---> 4(1) + 2 = 6

4 ---> 4(4) + 2 = 18

5 ---> 4(5) + 2 = 22

Answer: C complete reversal

Step-by-step explanation:

When there is a complete reversal error which is also known as an " error of complete reversal entry", the debit entry is switched with the credit entry. This is one of the more difficult errors to pick up because the Trial balance remains balanced when this happens as the debits and the credits would still be equal.

When rent is received from a tenant. The correct entries are to debit it to cash which is an asset and so will be debited when it increases.

Then credit it to Rent Receivable because this is a revenue account and these are credited when they increase.

The entries were therefore reversed.

Answer:

502.4 m³.

Step-by-step explanation:

Formula: πr²h

4² = 16 x 10 = 160

160 x 3.14 (about π) ≈ 502.4 m³.

Hope this helps.

If there is something wrong, please let me know.

Answer:

160[tex]\pi[/tex] or

500[tex]m^{3}[/tex]

Step-by-step explanation:

[tex]\pi[/tex] x [tex]4^{2}[/tex] x 10 = 160[tex]\pi[/tex] or 500[tex]m^{3}[/tex]

Answer:

Step-by-step explanation:

If the mean is 98, then 104 is only standard deviation away. If we are looking for the values less than this, we have the areas under the normal curve of 34%, 34%, 13.5%, 2.35%, .15% which add to 84%, or as a decimal, .84, choice C.

The z-score of the normal distribution P ( x ≤ 104 ) = 0.84

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the z-score of the distribution be z

And , the mean be μ = 98

And , the standard deviation be σ = 6

where z = (x - μ)/σ

So , P ( x ≤ 104 ) = [ P ( x - 98/6 ) ≤ 104 - 98 / 6 ) ]

On further simplification , we get

P ( x ≤ 104 ) = P ( x ≤ 1 )

Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than 1 is approximately 0.8413. Therefore, the probability of x being less than 104 is approximately:

P(x < 104) = P(z < 1) ≈ 0.8413

So there is approximately an 84.13% chance that a value selected at random from this normal distribution will be less than 104

Hence , the probability is 0.84

To learn more about z-score click :

https://brainly.com/question/25638875

#SPJ7

Answer:

Use photo math

Step-by-step explanation:

its easier

Answer:

c not all complex are imaginary

but all imaginary are complex

please brainlist

Answer:

C is False

Step-by-step explanation:

A complex number is represented by

[tex]z = a + bi[/tex]

A imaginary number is represented by

[tex]z = bi[/tex]

A complex number could include a real number so it cant be a pure imaginary number so C is False.

Answer:

x = 3.5

y = - 4

Step-by-step explanation:

2(4x + 7y = -14)

8x + 14y = -28

  8x + 5y = 8

- (8x + 14y = -28)

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

        - 9y = 36

            y = 36/-9

            y = - 4

   4x + 7y = - 14

4x + 7(- 4) = - 14

     4x -28 = - 14

            4x = 14

              x = 14/4

              x = 3.5

Answer:

A (First One)

Step-by-step explanation:

Side AC Is Congruent By Side DF

Side CB Is Congruent By Side FE

Side AB Is Congruent By Side DE

(There's no angles shown so it can't be the second option.)

The diagram has lines on the sides, if it we're SAS then the triangle would have an angle.

Answer:

ΔABC≅ΔDEF by SSS Postulate

Step-by-step explanation:

Hi there!

We are given 2 triangles

And we want to prove them congruent

You may notice that AC and FD have the same tick markings, AB and ED have the same tick markings, and CB and FE have the same tick markings

This means that those sides are congruent

In other words,

AC≅FD

AB≅DE

CB≅FE

If we have 3 pairs of congruent sides, that is enough for one concurrency postulate called side-side-side (SSS), which states that if 3 sides of a triangle are congruent to 3 sides in another triangle, then those triangles are congruent

So the triangles are congruent, but we need to put their vertices in the correct order

So if we make the name of the first triangle ABC, then we need to find the corresponding vertices in the second triangle

So let's find those vertices

D is corresponding to A, as they are both in between line segments that have 1 and 2 tick markings on them

E is corresponding to B, as they are both between line segments that have 2 and 3 tick markings on them

And finally, F is corresponding to C, as they are both between line segments that have 1 and 3 tick markings on them

So the name of the second triangle is DEF

ΔABC≅ΔDEF by SSS Posulate

Hope this helps!

Answer:

"The range of the function is all real numbers less than or equal to 9."

Step-by-step explanation:

For this question the domain is (-∞,∞)

The range is all numbers less than 9 (the y-coordinate of the vertex)

The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)

Therefore the answer is "The range of the function is all real numbers less than or equal to 9."

Answer:

read explanation

Step-by-step explanation:

since y=2/5x-3 we substitute x=10 in making it y=2/5*10-3

following PAMDAS we do multiplication first so 2/5*10=4.

so y=4-3 and then we subtract and get y=1. Hope this helps:> if you need more explanation message me. If not give this a heart for helping. Good luck.

Answer:

2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{12}[/tex]

= [tex]\sqrt{4(3)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex]

= 2[tex]\sqrt{3}[/tex]

Answer:

10 meters

Step-by-step explanation:

The given function [tex]h(t)=-2t^2+8t+10[/tex] represents the height, [tex]h[/tex], in meters, [tex]t[/tex] seconds after the ball is thrown.

Since the ball is thrown off the roof, then ball's height will be equal to the roof's height before being thrown (0 seconds). Therefore, substitute [tex]t=0[/tex] into the given function [tex]h(t)=-2t^2+8t+10[/tex]:

[tex]h(0)=-2(0^2)+8(0)+10,\\h(0)=0+0+10,\\h(0)=\boxed{10\text{ meters}}[/tex]

Therefore, the building is 10 meters tall.

Answer:

x = 17.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 25 = x /41

41 sin 25 = x

17.32734=x

Rounding to the tenths place

x = 17.3

We have to find,

The required value of x.

Now we can,

Use the trigonometric functions.

→ Sin(θ) = opp/hyp

Let's find the required value of x,

→ Sin (θ) = opp/hyp

→ Sin (25) = x/41

→ x = 41 × Sin (25)

→ x = 41 × 0.42262

→ x = 17.32734

→ [x = 17.3]

Hence, option (c) is the solution.

Answer:

There is a percentage increase of 77.1% in savings

Step-by-step explanation:

The answer can be determined by assigning a value to the income of Mr Brown.

Let Mr. Brown's initial income = 100

Percentage spent = 65%

Amount spent = 100 x 0.65 = 65

Percentage he saves = 100 - 65% = 35%

Amount he saves = 100 x 0.35 = 35

Salary after increase = 1.40 x 100 = 140

Increase in expenses = 1.2 x 65 = 78

Amount saved after increase in income = 140 - 78 = 62

Percentage increase = (new amount saved / previous amount saved) - 1

Percentage increase = (62 / 35) - 1 = 0.771 = 77.1%

Answer:

x=12

Step-by-step explanation:

im not 100% but i think you would get the answer by setting the equations equal to one another.

4x+6=2x+30

2x=24

x=12

Step-by-step explanation:

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

Answer:

is this in the euler student problem question?

Step-by-step explanation

Answer:

From the figure, we´ll use the ratio of sin74

sin74=x/16

x=16/sin74

x=16.64

OAmalOHopeO

Answer:

$196.

Step-by-step explanation:

Multiply the hours (h) by amount per hour (a) (h*a), 28*7 and you will get her total earnings, $196.

Answer:

$196

Step-by-step explanation:

28 hours and $7 per hour so you do 28x7 which equals 196.

Answer:

Length = 17m

Width = 11m

Step-by-step explanation:

Expression for the area of the rectangle = 6x² + 19x + 15

Factorising the quadratic expression

6x² + 19x + 15 = (6x² + 9x) + (10x + 15) = 3x(2x + 3) +5(2x + 3) = (3x + 5)(2x + 3)

x = 4m

Length = 3x + 5 = 3(4) + 5 = 12 + 5 = 17m

Width = 2x + 3 = 2(4) + 3 = 8 + 3 = 11m

Answer:x=35.6

Step-by-step explanation:

look at the left triangle. I hope you're familiar with SOH, CAH and TOA.

sin 60°=O/(11√7)

so O= (11√7)sin 60°

now look at the triangle on the right.

cos 45=adjacent/x

cos 45=[(11√7)sin60°]/x

therefore, using ur calculator, you'll get x= [(11√7)sin60°]/cos 45

x=35.64407384

Answer:

a > 269/2

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

269 - a < a

Step 2: Solve for a

Answer:b /13

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for exterior angles of a regular polygon is that they must add up to 360. They are also equal for a regular polygon.

Exterior angle = 360 / number of sides

The first one (a pentagon) has 5 sides

Exterior angle = 360/5

Exterior angle = 360/5 = 72

The second one has 8 sides.

Exterior angle = 360/8

Exterior angle = 360/8 = 45

Answer:

The sinusoidal function that represent the height of the water level, is presented as follows;

[tex]g(t) = 4 \cdot sin \left(\dfrac{\pi}{6} \cdot t \right)[/tex]

Where;

t = The number of hours since the water height was the average sea level height

The graph of g(t) showing the points where g(t) = The average see level, created with MS Excel is attached

Step-by-step explanation:

Answer:

put a dot on points

(0,0)

(0,6)

(0,12)

Step-by-step explanation:

Answer:

WRS and VRT are vertical angles

Step-by-step explanation:

Vertical angles are formed by the same lines and share a vertex

WRS and VRT are vertical angles