complete the equation of the line.​

A. The number of hours of training that you can purchase with a $3,000 training budget at $40 per employee per hour and a one-time $200 fee is 70-employee-training-hours.

B. Each employee will get 7 hours of training, assuming your organization has 10 employees.

The training cost of employees varies from one organization to another.

The training cost also depends on the training provider and the number of hours of training being offered.

Training budget = $3,000

One-time fee = $200

Remainder after the one-time fee = $2,800 ($3,000 - $200)

Training costs per employer per hour = $40

Hours of training to purchase = 70 ($2,800/$40)

Thus, an organization with 10 employees can obtain 70 hours of training with the training budget.

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Answer:

not equivalent

Step-by-step explanation:

solve for x

4-5x=24

-5x=20

x = - 4

5x=20

x = 4

no they are not equivalent

Answer:

-3ab

Step-by-step explanation:

-27/9= 3

(a^2)/a=a

(b^2)/b=b

Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.

We have given that,

investment to double at a 3 3/4% interest rate,

The future value using continuous compounding is:

= Amount x e ^ (rate x time)

Interest is

= 3.75%

2 = e ^ (0.0375 x time)

In2 = 0.0375 x time

t = In2 / 0.0375

t= 18.5 years

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u₁₂ represents the amount of loan remaining after 12 years

The function is given as:

u₀ = 8000

[tex]u_n = u_{n-1}(1 + 0.054) - 500[/tex]

Given that the subscript n in [tex]u_n[/tex] represents number of years and [tex]u_n[/tex] represents the amount left to be paid after n years.

We can conclude that:

u₁₂ represents the amount of loan remaining after 12 years

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Rhiannna needs 1024 inches longer bedspread if Rhiannna gets a new bedspread that is 33 in length.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degrees. It is a type of quadrilateral.

The question is incomplete.

The complete question is:

Rhiannna has a rectangular bedspread that measures 234 in. By 245 in. She wants to sew a fringe around the edge of the bedspread. What length of fringe does Rhiannna need to purchase. Rhiannna gets a new bedspread that is 33 in length. What length of the fringe does Rhiannna need for the longer bedspread?

We know perimeter of the rectangle = 2(length + width)

= 2(234 + 245 )

= 958 inches

Rihannon gets a new bedspread that is 33 in length:

New perimeter = 2(33) + 958 = 1024 inches

Thus,  Rhiannna needs 1024 inches longer bedspread if Rhiannna gets a new bedspread that is 33 in length.

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That statistic is based on a pinterest quote, the actual statistic is closer to 8-10%

The options that are true as a result of doubling the rectangle dimensions are;

p → q represents the original conditional statement.

p → ~q represents the contrapositive of the original conditional statement.

We are told that;

Doubling the dimensions of a rectangle increases the area by a factor of 4.

Now, p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.

Thus, using conditional statements notation, we can say that;

p → q represents the original conditional statement.

p → ~q represents the contrapositive of the original conditional statement.

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There are 4.15E12 ways to select the members of the committee to have the same number of Reds as Blues

The given parameters are:

Reds = 44

Blues = 56

Committee member = 10

To have the same number of Reds as Blues, the committee must have 5 reds and 5 blues.

So, the number of ways is;

Ways = 44C5 * 56C5

Evaluate the combination expressions:

Ways =  1.086008 E+6 *  3.819816 E+6

Evaluate the product

Ways =  4.15E12

Hence, there are 4.15E12 ways to select the members of the committee

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Answer:

266[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

if a 45 minute workout is 1000 calories, at the same rate, a 12 minute workout would be 266 calories and 2 thirds. [tex]\frac{12}{45}[/tex] x 1000 = 266[tex]\frac{2}{3}[/tex]

Answer:

is that the ixl

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Answer:

y = - 5 or y = 9

Step-by-step explanation:

using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (4, 2 ) and (x₂, y₂ ) = (- 1, y )

d = [tex]\sqrt{(-1-4)^2+(y-2)^2}[/tex]

   = [tex]\sqrt{(-5)^2+(y-2)^2}[/tex]

   = [tex]\sqrt{25+(y-2)^2}[/tex]

equating to [tex]\sqrt{74}[/tex] , that is

[tex]\sqrt{25+(y-2)^2}[/tex]  = [tex]\sqrt{74}[/tex] ( square both sides )

25 + (y - 2)² = 74 ( subtract 25 from both sides )

(y - 2)² = 49 ( take square root of both sides )

y - 2 = ± [tex]\sqrt{49}[/tex] = ± 7 ( add 2 to both sides )

y = 2 ± 7

Then

y = 2 + 7 = 9 or y = 2 - 7 = - 5

Answer:

The Sierpinski triangle is also called the Sierpinski gasket.

Step-by-step explanation:

The Sierpinski triangle is a fractal and attractive fixed set named after the Polish mathematician Wacław Sierpiński who described it in 1915.

Answer:

[tex]x=\boxed{6.6}[/tex]

[tex]\overline{\sf DE}=\boxed{13.2}\:\:\sf units[/tex]

Step-by-step explanation:

Geometric Mean Theorem - Altitude Rule

The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments.  The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:

[tex]\sf \dfrac{segment\:1}{altitude}=\dfrac{altitude}{segment\:2}[/tex]

From inspection of the given diagram:

[tex]\begin{aligned}\sf \dfrac{segment\:1}{altitude} & = \sf \dfrac{altitude}{segment\:2}\\\\\implies \dfrac{5}{9} & = \dfrac{9}{2x+3}\\\\5(2x+3) & = 81\\\\10x+15 & = 81\\\\10x & = 66\\\\ \implies x & = 6.6\end{aligned}[/tex]

Substitute the found value of x into the expression for DE:

[tex]\begin{aligned}\sf \overline{DE} & = 2x+3\\\implies \sf \overline{DE} & = 2(6.6)+3\\& = 13.2+3\\& =16.2\:\: \sf units\end{aligned}[/tex]

Answer:

(18,27) , because the rate of change of the function is 4/3

Step-by-step explanation:

Answer: x=-5, y=20

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so AB=CD.

[tex]x^{2}-15=-2x\\x^{2}+2x-15=0\\(x+5)(x-3)=0\\x=-5, 3[/tex]

But as distance must be positive, as CD=-2x, x must be negative, so x=-5.

Opposite angles of a parallelogram are congruent, so [tex]m\angle D=m\angle B[/tex].

[tex]4y+26=106\\4y=80\\y=20[/tex]

The given equation is equivalent to Option D .

The mission option is

A. x+10= x+10

B. x+9 =x² + 20x + 100

C. x² +81 = x² + 100

D. x² + 81 = x² +20x + 100

An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .

An equation is given in the question

[tex]\rm \sqrt{x^2 + 81} = x +10[/tex]

[tex]\rm {x^2 + 9^2} = (x +10)^2[/tex]

[tex]\rm {x^2 + 81} = x^2 +20x + 100[/tex]

Therefore the given equation is equivalent to Option D .

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Answer:

$60

Step-by-step explanation:

cost = $50 + $0.25x

Since x = 40

$(50 + 10) = $60

Answer:

$60/month

Step-by-step explanation:

So the equation would be 50 + (0.25 * 40), solve parenthesis 50 + 10, so answer would be $60.

Solution:

[tex] - 18 \sqrt{10} [/tex]

[tex] = - 6 \sqrt{2} \: \: • \: \: 3 \sqrt{5} [/tex]

2. Apply radical rule : [tex] \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex] , [tex]a \geqslant 0[/tex], [tex]b[/tex]

[tex] = 6 \sqrt{2 \: • \: 5} \: • \: 3[/tex]

=[tex]6 \sqrt{10} •3[/tex]

[tex] = - 18 \sqrt{10} [/tex]

Answer:

  12

Step-by-step explanation:

The problem statement tells us the definition of 3f(x). In order to find the value of 3f(2), we substitute 2 for x and do the arithmetic.

__

  3f(x) = 3x² . . . . given

  3f(2) = 3·2² = 3·4 = 12 . . . . . substitute 2 for x

The value of 3f(2) is 12.

Answer:

-34+x/4

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

Since you did not specify, we will assume that your equation is equal to 0.
1. (-34+2x)/(-8) = 0     (multiply both sides by -8)
2. (-34+2x) = 0  (add 34 to both sides)
3. 2x = 34 (divide both sides by 2)
4. x = 17

Answer:

  E.  18.6

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles. The means all of the triangles shown are right triangles, and the two marked angles are complementary.

__

Complementary angles total 90°.

  (x°) +(4x -3)° = 90° . . . . . the marked angles are complementary

  5x = 93 . . . . . . . . . . . .  divide by °, add 3

  x = 93/5 = 18.6 . . . . . divide by the coefficient of x

The value of x is 18.6.

Answer:

[tex]15[/tex]

Step-by-step explanation:

if [tex]f(x) = x^2 -2x[/tex], then that means that [tex]f(5) = (5)^2 - 2(5)[/tex] which equals [tex]15[/tex].

Step-by-step explanation:

A function f is defined by f (x) = 2x - 5. Write down the values of In mathematics, a function means a correspondence from one value x of the first set to another value y of the second set. NCERT Solutions Class 11 Math's Chapter 2 Exercise 2.3 Question 3 A function f is defined by f (x) = 2x - 5.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \pounds 2812\\ P=\textit{original amount deposited}\dotfill & \$1900\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years \end{cases} \\\\\\ 2812=1900[1+(0.08)(t)]\implies \cfrac{2812}{1900}=1+0.08t\implies \cfrac{37}{25}=1+0.08t \\\\\\ \cfrac{37}{25}-1=0.08t\implies \cfrac{12}{25}=0.08t\implies \cfrac{ ~~ \frac{12}{25} ~~ }{0.08}=t\implies 6=t[/tex]

Answer:

x = -8

y = 0

Step-by-step explanation:

The two shown equations can be added together:

   x + 4y = -8

+ ( x - 4y = -8 )

The two x's would combine to make two x, the 4y and -4y cancel out to zero, and -8 added to -8 is -16:

2x = -16

Therefore, x = -8. We can plug this into the first equation to get:

-8 + 4y = -8

Subtracting 8 on both sides yields:

4y = 0

Now divide by 4 on both sides to get

y = 0

We can check these values by plugging them into the second equation:

(-8) - 4(0) = -8

-8 - 0 = -8

-8 = -8

Since -8 always equals -8, the answer is correct.

Answer: x=12

Step-by-step explanation:

Answer:

  x=1

Step-by-step explanation:

The equation can be simplified and solved using the rules of exponents and the usual inverse operations.

__

Interpreted according to the Order of Operations, your equation is ...

  ((2^2)x)^3 = 64

  (4x)^3 = 64x^3 = 64 . . . . . . use (ab)^c = (a^c)(b^c)

  x^3 = 1 . . . . . . . . . . . . . . divide by 64

  x = ∛1 = 1

__

Perhaps you want x in the exponent:

  (2^(2x))^3 = 64

  2^(6x) = 2^6 . . . . . . . . . use (a^b)^c = a^(bc)

  6x = 6 . . . . . . . . match exponents

  x = 1 . . . . . . divide by 6

_____

Additional comment

Folks are often not careful about identifying exponents. It is helpful if you write the exponent in a way that leaves no ambiguity.