17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.

Answer:

sin -115° = -0.91

Step-by-step explanation:

Point A is (cos 115°, sin 115°). Since cos 115° = -0.42 and sin 115° ≈ 0.91, it means that the coordinates at point A is (-0.42, 0.91).

As for point B which was revolved around -115°,

the coordinates will be similar to point A but you just have to change the negative.

B(cos -115°, sin -115°) = B(0.42, -0.91)

Answer:

PLATO ANSWER

-0.91; -0.42

Step-by-step explanation:

The sine function is an odd function, meaning that sin -x = -sin x. Because sin 115° ≈ 0.91, sin  -115° ≈ -0.91.

The cosine function is an even function, meaning that cos -x = cos x. Because cos 115° = -0.42, cos -115° = -0.42.

its 4

x=4

[tex]4^{2}[/tex]-2x4

16-8

=8

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                Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]x^2 - 2x = 8[/tex]

Step 1: Subtract 8 from both sides.

[tex]x^2 - 2x - 8 = 8 - 8\\x^2 - 2x - 8 = 0[/tex]

Step 2: Factor left side of equation.

[tex]( x+2) ( x - 4) = 0[/tex]

Step 3: Set factors equal to 0.

[tex]x + 2 = 0[/tex] or [tex]x - 4 = 0[/tex]

[tex]x = -2[/tex] or [tex]x = 4[/tex]

Answer : -2 , 4

     ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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         Have a great day/night!

                    ❀*May*❀

The parametric equation of the line10x - y = 20 is given as y = 2.5t - 5

parametric equation are equations where the dependent variable is expressed in terms of independent variable

say dependent variable y = f(t)

independent variable x = t

Given data

10x - 4y = 20

solution

10x - 4y = 20

10x - 20 = 4y

4y = 10x - 5

y = 2.5x - 5

where x = t

y = 2.5t - 5

Read more on parametric equations here: https://brainly.com/question/12953407

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Answer:

answer is

D. 45. hhhisukwk

Answer:

b = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

20^2+ b^2 = 28^2  

400 + b^2 = 784

b^2 = 784-400

b^2 =384

Taking the square root of each side

sqrt( b^2) = sqrt(384)

b =19.59591794

To the nearest tenth

b = 19.6

Answer:

19.6

Step-by-step explanation:

It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2

a=20

b=?

c=28 - c is the hypotenuse because it is across from the right angle

20^2 + b^2 = 28^2

400+ b^2 =784

b^2=384

b= 19.595917... or 19.6 (rounded to nearest tenth)

Answer:

х=6

Step-by-step explanation:

[tex]7 + 5(x -3 ) = 22 \\ 7 + 5x - 15 = 22 \\ 5x = 22 - 7 + 15 \\ 5x = 30 \\ x = 6[/tex]

Answer:

C

x=6

Step-by-step explanation:

Answer:

the amount of camry sold in 2003 = 434000

Step-by-step explanation:

let the number of camry sold be X

then the number of honda accord will be x - 35000

the total will be:

x + x-35000 = 833000

2x = 868000

x = 434000

The amount of Camry sold in 2003 is 434000

Let the number of Camry sold be X

Then the number of honda accord will be x - 35000

The total will be:

x + x-35000 = 833000

2x = 868000

x = 434000

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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El costo por el consumo de 512 MB, con base en los cargos mencionados, es de $25408.

Cálculo del costo paso a paso.

Según los datos en el ejercicio, se puede identificar que el costo mensual debe contener el cargo fijo mensual ($8000), más los megabytes consumidos por $34, teniendo eso en cuenta, se puede generar la siguiente fórmula:

Donde:

Si reemplazamos el valor de MB por la cantidad mencionada en el ejercicio (512 Mb), y el cargo fijo mensual ($8000) obtenemos:

Por lo tanto, el costo por consumo de 512 Mb es de $25408.

Si deseas ver ejercicios similares, revisa el enlace a continuación: https://brainly.com/question/12918169?referrer=searchResults

Answer:

[tex](- \infty, 2), (2, \infty)[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = \dfrac{x+1}{x-2}[/tex]

To find:

Domain of the function.

Solution:

First of all, let us learn about definition of  domain of a function.

Domain of a function is the valid input values that can be provided to the function for which output is defined.

OR

Domain of a function [tex]f(x)[/tex] are the values of [tex]x[/tex] for which the output [tex]f(x)[/tex] is a valid value.

i.e. The function does not tend to [tex]\infty[/tex] or does not have [tex]\frac{0}0[/tex] form.

So, we will check for the values of [tex]x[/tex] for which [tex]f(x)[/tex] is not defined.

For value to tend to [tex]\infty[/tex], denominator will be 0.

[tex]x-2\neq 0 \\\Rightarrow x \neq 2[/tex]

So, the domain can not have x = 2

Any other value of x does not have any undefined value for the function [tex]f(x)[/tex].

Hence, the answer is:

[tex]\bold{(- \infty, 2), (2, \infty)}[/tex]     [2 is not included in the domain].

Hey there! I'm happy to help!

We see that Jack has already run 25 miles.

25

He also wants to run 2.5 miles every day. This means we will multiply 2.5 miles by the number of days he runs. We will call the number of days x.

25+2.5x

And he needs this to equal 275.

25+2.5=275

We subtract 25 from both sides.

2.5x=250

We divide both sides by 2.5

x=100

So, Jack will need to run 100 days to meet his goal.

Have a wonderful day and keep on learning! :D

Complete question:

Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1

The function in the image is f(x) = 3^x-1

Answer:

A) 1

Step-by-step explanation:

To solve the exponential function above given that x = 1;

Substitute x = 1 into the exponential function

If x = 1

f(x) = 3^(x - 1)

f(1) = 3^(1 - 1)

f(1) = 3^0

f(1) = 1

Answer:

The answer is B)

[tex]y = - \frac{1}{2}x + 8[/tex]

Answer:

B.  y = -[tex]\frac{1}{2}[/tex]x + 8

Step-by-step explanation:

The line is perpendicular to line whose equation is:

y = 2x + 4 and;

passes through point (4,6) .

The product slopes of two perpendicular lines is -1.

The slope of the line whose equation is y = 2x + 4 is; 2

Let the slope of the perpendicular line (l2) be [tex]m_{l2}[/tex]

[tex]m_{l2} * 2 = -1[/tex]

[tex]m_{l2}[/tex] = [tex]-\frac{1}{2}[/tex]

Taking another point xy on line l2;

[tex]\frac{y - 6}{x - 4} = -\frac{1}{2}[/tex]

Cross multiplying this gives;

y = -[tex]\frac{1}{2}[/tex]x + 8 which is the equation of the perpendicular line!

Answer: 5 (7.50-3 )

Step-by-step explanation:

Given: Previous price of calculator = $7.50

Number of client =5

Total price = (Number of calculators) x (Price for each calculator)

Total price of 5 calculators = (5 x $7.50)

New price of calculator = $5.00

Number of client =3

Total price of 3 calculators  = (3 x $5)

Price will receive = (Total price of 5 calculators) -(Total price of 3 calculators  )

= (5 x $7.50) -  (3 x $5)

= 5 (7.50-3 )

Required expression: 5 (7.50-3 )

Answer:

Hey there!

[tex](2x-1)(x-3)[/tex]

[tex]2x^2-1x-6x+3[/tex]

[tex]2x^2-7x+3[/tex]

Hope this helps :)

Answer:

see below

Step-by-step explanation:

the simple answer is a if you need an explanation just comment

Step-by-step explanation:

Hey, there!!!

Your required answer is optionD.

checking,

The 1st sequences are,

5,8,11,14

here,

now, use formula,

(an = 2n+3) in the sequences,

a1 = 2×1+3=5 = matching

a2= 2×2+3=7 = not matched

a3= 2×3+3= 9 = not matched

a4= 2×4+3=11 = not matched.

For 2nd sequences

3,5,7,9

Use the formula of an term,

a1 = 2×1+3=5 = not matched

a2 =2×2+3=7not matched

a3 = 2×3+3=9= not matched.

For 3rd sequences,

1,3,5,7

a1=2×1+3=5= not matched

a2=2×2+3=7= not matched

a3=2×3+3=9= not matched

a4=2×4+3=11= not matched

Now, for 4th sequences,

5,79,11

a1=2×1+3=5= matching

a2=2×2+3=7= matching

a3= 2×3+3=9= matching

a4=2×4+4=11= matching

Therefore, the answer is option D.

Hope it helps..

Step-by-step explanation:

if he buys 7 pounds, it will cost 7×5 = $35

he might buy more than that (and it will then also cost more than that) , but not less than that.

so,

c >= $35

Answer:

4-5x = 2x+25

-5x+4 = 2x+25

-7x = 21

x = -3

4 - 5(-3)

4 + 15

19

AC = 2 x 19

AC = 38

Let me know if this helps!

Answer:

The equation

[tex]4\,x^2-5=2\,(x+1)^2-7[/tex]

can be solved by first expanding all indicated operations, and later when the constant terms disappear, by factoring out 2x , leaving the equation as a product of two factors equal zero, from which it is easy to extract the roots. See below.

Step-by-step explanation:

When solving for x in the following expression, and using factoring to apply at the end the zero product theorem:

[tex]4\,x^2-5=2\,(x+1)^2-7\\4\,x^2-5=2\,(x^2+2x+1)-7\\4\,x^2-5=2\,x^2+4\,x+2-7\\4\,x^2-5=2\.x^2+4\,x-5\\4\,x^2=2\,x^2+4\,x\\4\,x^2-2\,x^2-4\,x=0\\2\,x^2-4\,x=0\\2\,x\,(x-2)=0[/tex]

We observe that for the last product, to get a zero, x has to be zero (making the first factor zero), or x has to be "2" making the binomial factor zero.

=============================================

Explanation:

The rule f(x,y) = (x+1,y-1) says to add 1 to the x coordinate and subtract 1 from the y coordinate. So let's say the input point is (7,2). This would move it to (8,1).

Now let's say that you accidentally erased the "(7,2)", but you still have the "(8,1)". You'd have to work through the steps backwards to get back to (7,2)

So you'll effectively use this rule g(x,y) = (x-1, y+1) which is the inverse transformation. Whatever f(x,y) does, the g(x,y) function will undo it and go opposite. We'll subtract 1 from the x coordinate and add 1 to the y coordinate.

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

So that's what we'll do with the set of points { (1,1), (4,2), (2,-1) }

We have (1,1) become (0,2) after applying the g(x,y) rule

(4,2) becomes (3,3) after using g(x,y)

(2,-1) becomes (1,0) after using g(x,y)

Therefore, the domain is { (0,2), (3,3), (1,0) }

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

The mapping diagram is shown below.

Answer:

1/2 a minute (30 seconds)

Step-by-step explanation:

475/50=9.5

450/50=9

9-9.5=.5

Answer:

5/3

Step-by-step explanation:

5×(10×1/3)

=10×5/3

=since 5×(10×1/3) gives 50/3 so thus 10×5/3.

The fraction is therefore 5/3

Answer:

5 units is the correct answer

Step-by-Step Explanation:

the translation of ab is a rigid transformation  so,  the size of the preimage and the size of the image are equal  therefore,  

ab=a'b'

the length of a'b' is 5 units which is option d.

Answer:

D 14

Step-by-step explanation:

Let x be the number

2(x-4) = 20

Divide each side by 2

2/2(x-4) = 20/2

x-4 = 10

Add 4 to each side

x-4+4 = 10+4

x = 14

Answer:

The number is 14

Step-by-step explanation:

Let's call this unknown number of x:

2×(x – 4) = 20

2x – 8 = 20

2x = 20 + 8

2x = 28

x = 28/2

x = 14

9514 1404 393

Answer:

  (b)  {yly = -9, -3, 0, 5, 7}

Step-by-step explanation:

The range is the set of y-values in the ordered pairs. It is usually convenient to list a set in alphanumeric order.

The second values of the ordered pairs are 0, -3, -9, 5, 7. So, the range is ...

  y ∈ {-9, -3, 0, 5, 7} . . . . . matches the second choice

Answer:

y = 100(3)^t

Step-by-step explanation:

Use the formula y = P(1 + r)^t where y is the new amount, P is the starting amount, r is the rate as a decimal, and t is the time.

Plug in the values given:

y = 100(1 + 2)^t

y = 100(3)^t

Answer:

Step-by-step explanation:

y = 100(3)^t

Mark Brainliest if correct:

x = -2, 9

Step-by-step explanation:

x2: x + 2 = 0

x = -2

x1: x - 9 = 0

x = 9

x = -2, 9

Answer:

$55.20 is Mrs. Barker hourly overtime rate.

Step-by-step explanation:

The term "time and a half" in your question means that Mrs. Baker's overtime rate is 1.5 times her usual hourly rate.

So, ----> $36.80 times 1.5 = $55.20

Answer:

? = 4

Step-by-step explanation:

You are in the third quadrant. You want the answer to come out to the equivalent of 225o or pi + pi/ 4 = 5/4 * pi

x - pi/2 = 5/4 pi

x = 5/4 pi + pi/2

x = 5/4 pi + 2*pi / 4

x = 7/4 pi

? = 4

Answer:

Hello,

Step-by-step explanation:

[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]

Answer:

The correct option is;

(Choice C) Both angle measures and segment lengths

Step-by-step explanation:

The given transformations are;

The reflection over the line, [tex]\overleftrightarrow{PQ}[/tex], with, A rotation about the point P. Another reflection over [tex]\overleftrightarrow{PQ}[/tex]. A rotation about the point Q, we have;

The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions

Therefore, the correct option is,  both angle measures and segment lengths.

(Choice C) C Both angle measures and segment lengths