Solve -5 √x = -15
A. X=7
B. X= - 9
C. X= - 7
D. X= 9

Answer:

Choices 3 & 5)reflect ABCD over X axis

                       Dilate ABCD by a scale factor of 2

Answer:

we can get the figure EFGH from the figure ABCD by the following these steps.

Step-by-step explanation:

1) to perform this it dilation, we just have to multiply the X & Y coordinates of the original shape by 2, like this ;

P (x, y)->P' (2x, 2y)

2) reflect

the new points over the x - axis

when we want to reflect a shape over the x - access we just have to invert the sign of the y - coordinate of its points, like this ;

P(x, y)-> P' (x, -y)

when we do this to the points that we got in the previous steps we get ;

A) '(0,0) ->E' (0,0)

B) '(0,4) -> F' (0,-4)

C) '(4,,2) -> C' (4,-2)

D) '(4,0) -> D' (4,0)

as you can see, the points that we got after these transactions correspond to the same points of the figure efgh know that the order in which you perform the transaction doesn't matter you could also have done the reflection and then the dilation.

the sequence of the transaction to get efgh from ABCD is ;

1) Diliate Abcd by a scale factor 2

2) reflect ABCD over the x - axis

Answer:

\( cos(45 - \alpha ) - \sin(45 - \alpha )\)

Answer:

452.16

Step-by-step explanation:

Simple, To the center is 6 and we are trying to find the circumference, So 6 x 6 = 36 then multiply it by pi (3.14) and we get 113.04 and it rotates 4 times so then we need to multiply 113.04 x 4 which is 452.16

Answer:

2. Number of workshops attended.

Step-by-step explanation:

The variable of interest for predicting the final exam score and doing regression analysis is workshop attendance.  Therefore, the response variable should be the number of workshops attended by each student.

This also agrees with what the college tutoring center staff are considering, which forms the research question: "should the center increase the number of math workshops they offer to help students improve their performance in math classes?"

Answer:

\(\frac{1}{3} y\) - \(\frac{7}{5}x\) + \(\frac{2}{3}\) - \(\frac{2}{3} y\) - \(\frac{4}{9}\)

Step-by-step explanation:

We are to find the expression which is equivalent to;

\(-\frac{2}{3}y\) - \(\frac{3}{5} x\) + \(\frac{2}{9}\) - \(\frac{4}{5}x\) + \(\frac{1}{3}y\)

Putting the like terms together we get;

\(-\frac{2}{3}y\) + \(-\frac{2}{3}y\) - \(\frac{3}{5} x\) - \(\frac{4}{5}x\) + \(\frac{2}{9}\)

Simplifying this gives;

\(-\frac{1}{3}y\) - \(\frac{7}{5}x\) + \(\frac{2}{9}\)

The equation that is equivalent to this answer from the choices is;

\(\frac{1}{3} y\) - \(\frac{7}{5}x\) + \(\frac{2}{3}\) - \(\frac{2}{3}y\) - \(\frac{4}{9}\)

Answer:

The answer is C

Step-by-step explanation:

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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9514 1404 393

Answer:

  $32,528.58

Step-by-step explanation:

For simplicity, we'll assume each year has 365 days.

The future value A of principal amount P at rate r compounded daily for t years is ...

  A = P(1 +r/365)^(365t))

We want P when A = 80,000, r = 0.075, and t = 12.

  P = A/(1 +r/365)^(365t)

  P = $80000/(1+0.075/365)^(365·12) ≈ $32,528.58

You will have to deposit about $32,528.58.

Answer:

5208

Step-by-step explanation:

(73 x ³√27 - 2) x 15 + √81

(73 x 3 - 2) x 15 + 9

(219 - 2) x 24

217 x 24

5208

Answer:

7

Step-by-step explanation:

f(x) = 3x+1

f(2)  means let x=2

f(2) = 3(2)+1

     = 6+1

     =7

\(\\ \sf\longmapsto f(2)\)

\(\\ \sf\longmapsto 3(2)+1\)

\(\\ \sf\longmapsto 6+1\)

\(\\ \sf\longmapsto 7\)

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

This shows that 76 cookies will be made with the total pounds of cookies

Fractions are written as a ratio of two integers. Given the following parameters

Total pounds of cookies made = 4 3/4 pounds

Total pounds of cookies made = 19/4 pounds

If he uses 1/16 pound of dough for each cookie, the total amount of cookies made is given;

Number of cookies = 19/4 ÷ 1/16

Number of cookies = 19/4 * 16/1

Number of cookies = 19 * 4

Number of cookies = 76

This shows that 76 cookies will be made with the total pounds of cookies

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The length of the side EF for the right triangle is found as 35.35 yd.

Trigonometric ratios are the ratios of a sides of a right triangle. The sine, cosine, and tangent are three popular trigonometric ratios (tan).

The sine trigonometric equation for such an angle of 40 degrees is expressed as sin 40 degrees.

Sin 40 degrees may be calculated precisely to within 8 decimal places as 0.64278760.

In the right triangle DEF:

Apply sin function.

sinФ = perpendicular / hypotenuse

sin 40 = EF / DF

sin 40 = EF / 55

EF = 55 *sin 40°

EF = 35.35 yd

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Okay so you put -6 in where y is then solve and youll get your answer

-8x-7(-6)=-6

Answer:

it is b

Step-by-step explanation:

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

The level of Justine be after translation of lift remains same as initial condition,

⇒ level = 6.

Given that,

Justin is at 6th floor

Therefore,

In initial condition the level of Justine = 6

Now lift went 3 levels upward direction

Add the 3 to the initial level of Justine,

Then the level of Justine after such translation of lift = 6 + 3 = 9

Now lift went 3 levels downward

Now subtracting 3 form the level of Justine after moving upward,

Then the level of Justine after such translation downward = 9 - 3

                                                                                                  = 6

Then the final level of Justine after such translation of lift remains same as 6.

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The mathematical mistake that Riley made is that: "She used the wrong common denominator." (Option A)

A common denominator is a factor that is similar to all the fractions in the sequence of equations.

Hence the correct answer is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the correct sequence of steps below:

Step One - the Expression is given as:

(x/(x-3)(x-2)) + (3/(x+3))

Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.

Hence we have:  (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Step 3  Apply the Law of Multiplicative Distribution:

Hence we have  (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4 -  Collect Like Items

This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5 Sort for like coefficients

This gives us:  ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6 -  check for the sum or difference

This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

We simplify and factor the expression to get

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

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Answer:

20 dollars

Step-by-step explanation:

I think 20+20+20=60 then 60-40=20

Answer:

see attached

Step-by-step explanation:

The exercise above is one of the Discontinuous Initial Value Problems (DIVP) with a Discontinuous Function.

An Initial value problem

This topic is related to multivariable calculus. It is a standard differential equation with an initial condition that describes the unknown function's value at a selected point in the domain. IVP is often used in physics for modeling.

The solution for the IVP (Initial Value Problem) whose input function g(x) is discontinuous

y" + 4y = g(x),

y(0) =1, and

y' (0) = 2

Where

g(x) = [ sin x ,  0 ≤ x ≤ π /2 ]

         [  ,  x > / 2 ]

For the lower interval and use the result to solve the upper interval.

The homogeneous solution to (1) where (1) is

y′′ + 4y = g(x), y(0) = 1, y′(0) = 2

m² + 4 = 0 → m₁,₂ = ± 2i

From this derive:

y h = c₁ Cos 2x + c₂ sin 2x

To resolve the particular solution,

y p = a cos x + b sin x

Resolving the constants a and b, let's substitute back into equation 1 above to arrive at:

-a cos x - b sin x + 4a cos x + 4b sin x = sin x

From the above,

a = 0 and b= 1/3

Rewriting the equation,

y = y h + y p = c₁ cos 2x + c₂ sin 2x + 1/3sinx

Initiation constraints

In mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set.

Using the Initiation constraints, we solve for c₁ and c₂:

c₁ = 1, c₂ = 5/6, this leaves us with the following:

y(x) =cos2x + 5/6sin 2x + 1/3sinx,

0 ≤ x ≤ π / 2                      (2)

From the above, we must proceed to calculate the upper half of the range so that we have, y" + 4y = 0.

Using the initial constraints in combination with (2), we get y  = -(2/3) and

y' (/2) = -(5/3)

Recall that solution 2 was:

y = c₁ cos 2x + c₂ sin 2x

With the new constraints, we can resolve this get:

c₁ = 2/3, c₂ = 5/6, so

y(x) = 2/3cos 2x + 5/6sin 2x, x > /3           (3)

Combining equations 2 and 3, we have:

y(x) = [ cos 2x + 5/6 sin 2x + 1/3 sin x , 0 ≤ x ≤ π / 2 ]

      = [ 2/3 cos 2x + 5/6 sin 2x,   x > π /2 ]

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Answer:

f(3) = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = |5x - 17|

f(3) is x = 3

Step 2: Evaluate

Answer:

126

Step-by-step explanation:

The supplement of 54° is the angle that when added to 54° forms a straight angle (180° ). So,

54 + x = 180

x = 126

The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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Answer:

12283.01

Step-by-step explanation:

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Answer:

Explanation: We have to find the center of the circle, the equation of the circle is as follows:

Ploting the equation (0) gives the following result:

Therefore the center of the circle has the coordinates (0,4).