What are the domain and range of the function f(x) = -log(5-x)+92
O domain: x <5
range: 129
O domain: x <5
range: (-0.00)
O domain: x29
range:
(-0.00)
domain: 29
range: y29

Using a system of equations, it is found that Ajay is 25 years old today.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Wale was twice as old as Ajay 10 years back, hence:

[tex]x - 10 = 2(y - 10)[/tex]

[tex]x - 10 = 2y - 20[/tex]

[tex]x = 2y - 10[/tex]

Wale will be 40 years old in 10 years, hence:

[tex]x + 10 = 40[/tex]

[tex]x = 40[/tex]

Then, Ajay's present age is found as follows.

[tex]2y = x + 10[/tex]

[tex]2y = 40 + 10[/tex]

[tex]y = \frac{50}{2}[/tex]

[tex]y = 25[/tex]

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Based on the system of equations, it is found that Ajay is 25 years old today.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

Based on the given information, we can say

Let Wale's age be x

Let Ajay's age be y

Ten years ago,

Wale = x - 10

Ajay = y - 10

If wale was twice as old as Ajay 10 years back, then;

x - 10 = 2(y - 10)

Since Wale will be 40 years old in 10 years, then;

x + 10 = 40

x = 40 - 10

x = 30

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

30 - 10 = 2(y - 10)

20 = 2(y-10)

y = 20

Hence Ajay will be 20 years old today

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Answer:

It's A. 155.43.

Step-by-step explanation:

I just got the same question and got it right.

Answer:

C 377

Step-by-step explanation:

I simply typed in "surface area of cone calculator" in chrome and did it that way, since there is quite a complex formula for finding it out on your own.

(This is the formula : pi * r^2 + pi * r * sqrt (r^2+h^2)

Answer:

B) [tex]y=sin(x+\frac{\pi}{2})[/tex]

Step-by-step explanation:

Technically, since the function starts at its maximum, you could say the function is [tex]y=cos(x)[/tex], but the answer choices all use sine instead. Therefore, we will have to use the cofunction identity [tex]cos(x)=sin(x+\frac{\pi}{2})[/tex] and we can see that the correct answer is B.

The equation matches the function provided in the graph is y = sin(x + π/2) option (B) is correct.

It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.

It is given that:

A graph of a trigonometric function is given:

As we know,

y = sinx has a sinusoidal graph

Based on the graph we can apply a transformation to get the required function.

Applying transformation:

x → x + π/2

The sin function will shift left side by π/2 unit

The equation of the function becomes:

y = sin(x + π/2)

The equation of the function shown in the graph is y = sin(x + π/2)

Thus, the equation matches the function provided in the graph is y = sin(x + π/2) option (B) is correct.

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Moving 2/3 to the other side, we get

x>1/4+2/3

Simplifying,

x>11/12

Answer:

Step-by-step explanation:

You need to concern yourself with the +3. That will determine what the equal roots are.

(2x + √3)^2

Now expand this to see what p is. (Kind of a nasty question if you ask me).

4x^2 + 2x*√3 + (√3)^2

4x^2 + 2√3 x + 3                 also possible is

4x^2 - 2√3 x + 3

So the answer is p = 2√3

The answer could also be p = -2√3

Answer:

  p = ±4√3

Step-by-step explanation:

The discriminant of quadratic equation ax²+bx+c = 0 is ...

  d = b² -4ac

In your quadratic, its value is ...

  d = p² -4(4)(3) = p² -48

The discriminant will be zero when the quadratic has equal roots. In that case, the values of p are found by ...

  d = 0

  p² -48 = 0

  p² = 48 . . . . . add 48

  p = ±√48 . . . . take the square root

  p = ±4√3 . . . . simplify

__

Another way to get there is by looking at the factoring of a quadratic with equal roots:

  (ax +b)² = 0 = a²x² +2ab +b²

Comparing to the given quadratic, we find ...

  a² = 4   ⇒   a = ±2 . . . . . . coefficient of x²

  b² = 3   ⇒   b = ±√3 . . . . constant

  p = 2ab = 2(±2)(±√3) . . . . coefficient of x

  p = ±4√3

_____

The attachment shows the two different values of p give equations with one solution (each).

Answer: 19 cents

Step-by-step explanation:

Let's say that the cost of a lemon be L and the cost of an orange is O

We get the equation

4L + 3O = 5.45

7L + 4O = 9.30

The first equation can be made into the equation

28L + 21O = 38.15

And the second be made into

28L + 16O = 37.20

The second equation - The first question

5O = 0.95

O = 0.19

Answer:

Step-by-step explanation:

Let,4x,3x, and 2x be the share .

Now we have,

[tex]4x+3x+2x=810000\\\\9x=810000\\\\x=\frac{810000}{9} \\\\x=90000[/tex]

Again,

Share of Sarah=4x=4×90000=360000

Share of John=3x=3×90000=270000

Share of Monica=2x=2×90000=180000

Liabilities are recorded when owed.

The correct option is D.

A liability is anything that a firm or person owes, usually a debt. With the transmission of economic benefits like money, products, or services, liabilities are eventually.

Given

Statement about liability

They are recorded when owed is true.

Liability, when owed by a company, is recorded on the balance sheet, liabilities include everything owed by the firm.

Different forms of liability are loans, rents, payable accounts, unsettled revenues, bonds, etc.

Hence, True statement about liabilities is that they are recorded when owed.

Learn more about liability here:

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Explanation:

Refer to the diagram below. I've marked the angle 330 in red.

The y coordinate of the terminal point for this angle is the value of sin(330)

Therefore, sin(330) = -1/2

Answer:

m= [tex]\frac{3}{2}[/tex], b = 1

Step-by-step explanation:

Remember y = mx + b

y = mx + b

y = [tex]\frac{3}{2}[/tex]x + 1

Hope that helps!

Answer:

(-6, 1)

Step-by-step explanation:

((-5) + (-7))/2 = -6

((-1) + 3)/2 = 1

so the answer is (-6, 1)

Answer:

area of the entire figure: 21 cm²

Step-by-step explanation:

bottom rectangle:

length * width

3 * 2

6 cm²

upper rectangle:

length * width

3 * 4

12 cm²

triangle area:

1/2 * base * height

1/2 * 2 * 3

3 cm²

Total area: 6 cm² + 12 cm² + 3 cm² = 21 cm²

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

The measure of Angle SKR is 90°

Hence, Option C is correct

The measure of Angle RAK is 32°

Therefore,

[tex]\sf{\angle{RAT = 2 }} {\sf{\angle{RAK}}}[/tex]

[tex]\sf{\dfrac{ 64}{2}}{\sf{=}}{\sf{\angle{RAK}}}[/tex]

[tex]\sf{\angle{ RAK = 32°}}[/tex]

Hence, Option a is correct

The measure of Angle ARS is 116°

[tex]\sf{\angle{ARS = }}{\sf{\angle{ATS}}}[/tex]

So,

[tex]\sf{\angle{RSK = }}{\sf{\angle{RAK}}}[/tex]

[tex]\sf{\angle{ RSK = 32° }}[/tex]

By using Angle sum property

AngleRSA + AngleSAR + AngleARS = 180°

[tex]\sf{ 32° + 32° + }{\sf{\angle ARS = 180° }}[/tex]

[tex]\sf{\angle {ARS = 180° - 64° }}[/tex]

[tex]\sf{\angle{ARS = 116° }}[/tex]

Hence, Option d is correct

The measure of angle KRS is 58°

Therefore ,

[tex]\sf{\angle{ARS}}{\sf{ = 2}}{\sf{\angle KRS}}[/tex]

[tex]\sf{\dfrac{ 116}{2}}{\sf{=}}{\sf{\angle{KRS}}}[/tex]

[tex]\sf{\angle{ KRS = 58°}}[/tex]

Hence, Option b is correct

mAngleSKR = All of the above

From Above, we can say that,

mAngleSKR + mAngleAKR + mAngleAKT + mAngleSKT = 90°

Hence, Option D is correct.

Answer:

1:c

2:a

3:d

4:b

5:d

Step-by-step explanation:

In rhombus STAR

[tex]1.SAL\ \ TR[/tex]               [tex]\left\{Characteristic\ of\ rhombus\right\}[/tex]
[tex]SO < SKR=90[/tex]°

[tex]2. < RAK=\frac{1}{2} < RAT=32[/tex]°

[tex]3. < ARS+ < RAT=180[/tex]°
[tex]< ARS=180[/tex]°[tex]- < RAT[/tex]
           [tex]=116[/tex]°

[tex]4.\ < KRS=\frac{1}{2} < ARS[/tex]
                 [tex]=58[/tex]°

[tex]5.\ < SKR= < AKR= < SKT[/tex]
                 [tex]= < AKT=90[/tex]°

I hope this helps you

:)

Answer:

53 Girls

Step-by-step explanation:

X is the number of girls and Y is the number of boys:
(X + 15) + Y = 91
91 - 15 = 76
76 ÷ 2 = 38
38 + 15 = X
X = 53

(38 + 15) + 38 + 91

Answer:

[tex] \boxed{\tt \: m = \boxed{\tt Undefined}}[/tex]

Step-by-step explanation:

Given Two Points are:

[tex] \sf \: \tt (6,-5) \: \sf and \: \tt (6,-4)[/tex]

We need to Find:

[tex] \longrightarrow \sf \: The \: Slope[/tex]

We know that,

[tex] \sf \: Slope = \tt \: Rise/Run \: , \: \sf \: i.e. \: \: \boxed{\tt\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex] \sf \: Slope= \boxed{\tt\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Where,

[tex] \tt \: y_2= -4[/tex]

[tex]\tt y_1= - 5[/tex]

[tex]\tt x_2=6[/tex]

[tex] \tt \: x_1=6[/tex]

So Substitute their values accordingly:

[Important Note: Slope is denoted as m generally.]

[tex] \tt\implies \: m = \cfrac{ - 4 -( - 5)}{6 - 6} [/tex]

Now Simplify it.[Follow BODMAS Rule strictly while simplifying]

[tex] \tt \implies m = \cfrac{ - 4 + 5}{0} [/tex]

[tex]\tt \implies m = \cfrac{ 1}{0} [/tex]

Here, We can find that 1 is divided by 0.

We know that any expressions divided by 0 is undefined .

Hence, the slope[m] would be undefined.

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

Let me know if you have any questions! :)

Answer:

I dont do this subject yet

Answer:

Step-by-step explanation:

106/4 = 26[tex]\frac{2}{4\\}[/tex] = 26[tex]\frac{1}{2}[/tex]

Hope this helps!

Answer:

x = 2

Step-by-step explanation:

[tex]12x -(4x+7) +2x =13 \\ \\ 12x - 4x - 7 + 2x = 13 \\ \\ 8x + 2x = 13 + 7 \\ \\ 10x = 20 \\ \\ x = \frac{20}{10} \\ \\ x = 2[/tex]

[tex]SA=\pi rs+\pi r^2\\r=8\div2=4\\s=7 \\SA=3,14\times4\times7+3,14\times4^2=138,16\:\text{in}^2\approx138\:\text{in}^2[/tex]

Answer: 138 in²

Answer:

Using the Charles law equation

V1/T1=V2/T2

V1=25L

V2=?

T1=110°C

T1=110+273

T1=383K

T2=266°C

T2=266+273

T2=539K

25L/283K=T2/539K

T2=(25L×539K)/283K

T2=47.6L

Therefore at the temperature of 266°C, it will occupy 47.6L of volume.

HOPE IT WAS HELPFUL.

PLEASE MARK ME BRAINLIEST

Answer:

Step-by-step explanation:

Given equation:

Solve:

Answer:

84 boys at the concert

Step-by-step explanation:

Because 80% of the girls and guys is girs the other 20% is the guys so 84 boys is the other 20%

Answer:

i think 756 but im just trying im sorry if its wrong

Answer:

The sample mean appears to be an unbiased estimator of the population mean.

Step-by-step explanation:

The sample means appear to be centered near 16

Answer:

Slope = 3

y- intercept = (0, 10)

Step-by-step explanation:

the equation is given by y=mx+c where m is the slope

- At y-intercept, x is equal to 0

Therefore, y = 3(0) + 10

y = 0 + 10

y = 10

Answer:

Step-by-step explanation:

Amounts spent on Wednesday and Thursday are $4 and $5.

The rate of change over one day is:

Tuesday be 0 initially

Wednesday to Thursday is 1 day

The points are (1,4) and (2,5)

So rate of change

Answer:

  y = x² +10x -9

Step-by-step explanation:

A spreadsheet or suitable calculator can help you with this. All spreadsheets and most graphing calculators offer regression function capabilities. It is a good idea to learn to use these tools.

The attached graphing calculator output shows the equation to be ...

  y = x² +10x -9

_____

Additional comment

If you want to do this by hand, you recognize that there are only two coefficient values that need to be found. You can choose any two of the given points to use to create equations for those coefficients. I would choose the points with the x-values that are smallest in magnitude.

Using (-4, -33)

  y = x² +bx +c

  -33 = (-4)² +(-4)b +c

  -4b +c = -49 . . . . . . . . . subtract 16

Using (1, 2)

  2 = (1)² +(1)b +c

  b +c = 1 . . . . . . . . . . . . subtract 1

Now, we can subtract the first equation from the second ...

  (b +c) -(-4b +c) = (1) -(-49)

  5b = 50 . . . . . . . . simplify

  b = 10 . . . . . . . . . . divide by 5

Using the second equation, we get

  10 +c = 1

  c = -9 . . . . . . subtract 10

So, the desired quadratic is ...

  y = x² +10x -9

__

These equations are usually pretty easy to solve, because the 'c' variable has a coefficient of 1 in all of them. It can easily be eliminated by subtracting one equation from another. Here, we chose our subtraction so the coefficient of 'b' would end up being positive. (Not necessary, but can help prevent mistakes.)

If you don't know ahead of time that the coefficient of x² is 1, then you need to write 3 equations in the three coefficients.

I guess it is

4x-8+2x+2

6x-6

6 (x-1)

Answer:

6x-6 this is the answer.

please mark brainliest

Step-by-step explanation:

hope this helps you!

-s.