Find the value of x that makes m ∥ n please help me

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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Looks like the function on the right hand side is

\(f(t)=\begin{cases}1&\text{for }t<4\\-1&\text{for }t\ge4\end{cases}\)

We can write it in terms of the Heaviside function,

\(h(t-a)=\begin{cases}1&\text{for }t\ge a\\0&\text{for }t>a\end{cases}\)

as

\(f(t)=h(t)-2h(t-4)\)

Now for the ODE: take the Laplace transform of both sides:

\(y'(t)+y(t)=f(t)\)

\(\implies s Y(s)-y(0)+Y(s)=\dfrac{1-2e^{-4s}}s\)

Solve for Y(s), then take the inverse transform to solve for y(t):

\((s+1)Y(s)=\dfrac{1-e^{-4s}}s\)

\(Y(s)=\dfrac{1-e^{-4s}}{s(s+1)}\)

\(Y(s)=(1-e^{-4s})\left(\dfrac1s-\dfrac1{s+1}\right)\)

\(Y(s)=\dfrac1s-\dfrac{e^{-4s}}s-\dfrac1{s+1}+\dfrac{e^{-4s}}{s+1}\)

\(\implies y(t)=1-h(t-4)-e^{-t}+e^{-(t-4)}h(t-4)\)

\(\boxed{y(t)=1-e^{-t}-h(t-4)(1-e^{-(t-4)})}\)

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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9514 1404 393

Answer:

  1/4 mile

Step-by-step explanation:

The length and width of a square are the same.

The length is 1/4 mile, so the width of the park is 1/4 mile.

A square park has an area of 1/16 square miles and a length of 1/4 mile. What is the width of the park?

\(\quad \quad \quad \boxed{ \tt{width = \frac{area}{length}}}\)

\(\quad \quad \quad{\tt{w = \frac{1}{16} \div \frac{1}{4} = \boxed{\tt{0.25}}}}\)

\(\quad \quad \quad \boxed{ \tt{w = 0.25}} \: ➡ \boxed{ \tt{w = \frac{1}{4}}}\)

\(\boxed{ \tt{w = \frac{1}{4}}}\)

_________

#LetsStudy

Answer:

Step-by-step explanation:

Notice that f(x) = ab would be a constant function, as 'x' does not appear on the right side.  If 'a' were increased by 2, the magnitude of f(x) would be increased by a factor of 2.  The domain of f(x) would not change; the range would be [a·(b+2)) (a single numeric value).

Answer:

(-2,1), (0,1), and (2,0). its over the y axis

Step-by-step explanation:

Answer:

shift it 3 values right and 2 units up

Step-by-step explanation:

moving x-axis and moving y-axis

Answer:

x = 7

Step-by-step explanation:

2x + x - 7 = 14

3x = 14 + 7

3x = 21

x = 21 ÷ 3

x = 7

use me as a like button for this question lol

By answering the presented question, we may conclude that Rounded to equation one decimal place, the sample mean is 144.0.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0."  

To calculate the sample mean, we add up all the data points and divide by the total number of observations:

sample mean = (137 + 132 + 145 + 152 + 209 + 169) / 6 = 144.0

Rounded to one decimal place, the sample mean is 144.0.

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The contribution margin ratio is 37%, unit contribution margin is $12.95, whereas the operating income is $297,950

What is the contribution margin ratio?

The contribution margin ratio compares the contribution margin per unit to the selling price per unit whereby contribution margin is the selling price minus the variable cost per unit

unit contribution margin=$35-$22.05

unit contribution margin=$12.95

Contribution margin ratio=$12.95/$35

Contribution margin ratio=37%

operating income=(unit contribution margin*sales units)-fixed costs

sales units=39000

fixed costs= $207,100

operating income=($12.95*39000)-$207100

operating income=$297,950

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Answer:

-7

Step-by-step explanation:

you cant change the numerator if you cant change the denominator

Answer:

x = √5

Step-by-step explanation:

a² + b² = c²

√3² + b² = 2√2²

3 + b² = 8

√b² = √5

b = √5

Answer:

P(X = 7) = 0.11712

Step-by-step explanation:

From the information given:

Average no. of claims received per week λ = 9

The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:

\(P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}\)

\(P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}\)

\(P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}\)

\(P(X=7) = \dfrac{590.2652672}{5040}\)

P(X = 7) = 0.11712

Answer:

B. 3y^2 square root 7y/4x

Step-by-step explanation:

Hope this helps! Have a great day!

BTW...if y'all have any questions for school (it can be any grade level or subject) just comment here and I will get to it as soon as I can!! ❤

Answer:

the surface area of the rectangular prism is 572cm².

Step-by-step explanation:

The surface area of a rectangular prism can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values you provided, we get:

2 * 4cm * 15cm + 2 * 4cm * 14cm + 2 * 15cm * 14cm = 572 cm²

So the surface area of the rectangular prism is 572 square centimeters.

Answer:

As many as he thinks is enough

Step-by-step explanation:

1. There is no specific wag to answer this it has no answer choices or any type of math hint of how many cherries he wants.

cant see the pic

please type out the question

so that i can help u

Answer:

\( x = zk + z + \mu\)

Step-by-step explanation:

\(z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}\)

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation

Answer:

Tublu has more than enough paint to cover the tank surface in one layer coating

Step-by-step explanation:

Height of the cylinder = 1.4 m

diameter of the cylinder = 1.1 m

total volume of paint available = 2 litres

It takes 250 ml to cover 1 m^2 of the tank body

Since only the body is to be painted, we find the perimeter of the circle formed by the body of the tank.

perimeter of the circle formed by the body of the  tank = \(\pi d\)

==> 3.142 x 1.1 = 3.456 m

This perimeter, if spread out, will form a rectangle with a height of 1.4 m from the base.

The area of the rectangle that will be formed =  (perimeter of the cylinder body) x ( height of the cylinder)

==> 3.456 x 1.4 = 4.838 m^2

This is the area that needs to be painted.

Converting the paint volume,

250 ml = 0.25 litres

To paint the above calculated are, we will need 4.838 x 0.25 = 1.21 litres of paint, (of course, excluding the base)

The volume of paint available = 2 litres

volume of paint needed = 1.21 litres

Tublu has more than enough paint to cover the tank surface in one layer coating

Answer:

A2

B2

C4

A5

B3

C8

Hope this helps you out

Step-by-step explanation:

Using Pythagoras Theorem ,

SolutioN 1 :-

> 2² + b² = 4²

> 4 + b² = 16

> b² = 12

> b = √12

Solution 2 :-

> 5² + 3² = a²

> 25 + 9= a²

> a² = 34

> a = √34

The Answer:

Width = 6

Step-by-step explanation:

Let width be w

(3w + 8) x w = 156

3 \(w^{2}\) x 8n - 156 = 0

(w + 8 x 6) (w-6) = 0

w = 6

The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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Answer:

Step-by-step explanation:

1. (4x5) is 20

2. (4x 2) is 8

3. 20 plus 8 is 28

4. 28= 4x (5+n)

5. isolate n by dividing 4 on both sides= 28/4= 4+n

6. subtract 4 on both sides to get 7-4=n

7. n=3

Answer:

The option that are correct is  option a and  option c

Step-by-step explanation:

From the question we are told that

   The sample space is  n =  6 (i.e six sides)  

     The number of even numbers in the sample space is  k  = 3 (i.e  2,4, 6)

Generally the probability of rolling an even number with a six-sided, equally weighted die is mathematically represented as

       \(P(E) = \frac{3}{6}\)

=>     \(P(E) = \frac{1}{2}\)

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

14 = n - 6

Step-by-step explanation:

"Is" indicates equal to. "Less" means subtract.

The equation that shows this relationship would be; 14 = n - 6.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

We have been given a statement "Fourteen is 6 less a number (n)."

So  here, "Is" indicates equal to sign. "Less" means subtract.

The equation form would be;

14 = n - 6

The equation that shows this relationship would be; 14 = n - 6.

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