Could JKL be congruent to XYZ? Explain.

Answer:

3(2p²v¹²)

−(2p⁸v−15m+4)

Step-by-step explanation:

Cant some of the special chars wont show theres no point

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Answer: This is neither a permutation or a combination. It is a trick question.

Step-by-step explanation: To solve this question, you would just multiply the two numbers by each other. So in this case it would be 8*3 because of the fundamental counting principle.

Answer:

The answer is 0.0228. Have a good day!

Answer:it’s 0.025

Step-by-step explanation:

Answer:

$ 3513. 63

Step-by-step explanation:

Plug in the numbers :

3200 *  e ^(.017 * 5.5)  = 3513.63

Answer:

√113

Step-by-step explanation:

8*8 + 7*7 = c^2

64 + 49 = c^2

√113 =C

the statement that "you walk at a constant rate" tells us that the relationship is indeed proportional, namely, there's a value in the input that's consistent or common yielding the output.

Check the picture below.

to get the equation of any straight line, we simply need two points off of it, for the distance "from school" table, let's use those two points in that table

\((\stackrel{x_1}{10}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{1.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1.5}-\stackrel{y1}{0.5}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{10}}}\implies \cfrac{1}{20}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0.5}=\stackrel{m}{\cfrac{1}{20}}(x-\stackrel{x_1}{10})\implies y-0.5=\cfrac{1}{20}x-\cfrac{1}{2} \\\\\\ y=\cfrac{1}{20}x-\cfrac{1}{2}+0.5\implies y=\cfrac{1}{20}x-\cfrac{1}{2}+\cfrac{1}{2}\implies \boxed{y=\cfrac{1}{20}x}\)

Answer: ask your teacher duh

Step-by-step explanation:

Answer:

(-0.3)^4 = 0.0081

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

you just have to put the number over 1

Answer:

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

Step-by-step explanation:

El enunciado tiene un error tipográfico que induce a equivocación. El enunciado correcto es el siguiente: Tres corredoras salieron a entrenar Amalia recorrió 4,121 kilómetros; Luciana 1,55 kilómetros más que Marta y esta 1 8/25 kilómetros menos que Amalia. ¿Cuántos kilómetros recorrió Luciana y Marta?

Sean \(x,y,z\) las distancias recorridas por Amalia, Marta y Luciana, en kilómetros. A partir de la descripción del enunciado tenemos el siguiente sistema de ecuaciones lineales:

Amalia

\(x = 4,121\,km\) (1)

Marta

\(y = x-1.32\,km\) (2)

Luciana

\(z = y + 1.55\,km\) (3)

La solución del sistema de ecuaciones lineales es:

\(x =4,121\,km, y = 2,801\,km, z = 4,351\,km\)

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

Answer:

A

Step-by-step explanation:

it's A because if you're adding x from each number in the equation you would shift to the left causing the graph to become more positive but if you subtract x you would shift to the right causing the graph to become more negative.

Answer: am not 100% sure but shouldn't it be all if them?

Step-by-step explanation:

Answer:

Everything except 2

Step-by-step explanation:

Terms are separated by signs. 2 is the coefficient (number in front of a variable)

Answer:

\((- \infty, 2), (2, \infty)\)

Step-by-step explanation:

Given the function:

\(f(x) = \dfrac{x+1}{x-2}\)

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 \(f(x)\) are the values of \(x\) for which the output \(f(x)\) is a valid value.

i.e. The function does not tend to \(\infty\) or does not have \(\frac{0}0\) form.

So, we will check for the values of \(x\) for which \(f(x)\) is not defined.

For value to tend to \(\infty\), denominator will be 0.

\(x-2\neq 0 \\\Rightarrow x \neq 2\)

So, the domain can not have x = 2

Any other value of x does not have any undefined value for the function \(f(x)\).

Hence, the answer is:

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

Based on the boxplot, approximately 50% percent of the people who entered the amusement park met the height requirement for the attraction.

Box-Plot is a summary of the sample distribution presented graphically which can describe the shape of data distribution (skewness), a measure of central tendency and a measure of dispersion (diversity) of observational data. There are 5 statistical measures that we can read from the boxplot, namely:

In addition, the boxplot can also show whether there are outlier values and extreme values from the observed data.

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The average EMF induced in the coil is 2.714336 × 10⁻⁴

To calculate the average EMF induced in the coil, we need to determine the change in magnetic flux through the coil and divide it by the time interval over which the change occurs.

The magnetic flux (Φ) through a coil is given by the formula:

Φ = B * A * cos(θ),

where B is the magnetic field strength, A is the area of the coil, and θ is the angle between the magnetic field and the normal to the coil.

When the coil is perpendicular to the field at t = 0, the angle θ is 90 degrees, and the magnetic flux is:

Φ1 = B * A * cos(90) = 0,

since the cosine of 90 degrees is zero.

At t = 0.015s, the coil becomes parallel to the field, so the angle θ becomes 0 degrees. The magnetic flux at this moment is:

Φ2 = B * A * cos(0) = B * A.

The change in magnetic flux (ΔΦ) during this transition is given by:

ΔΦ = Φ2 - Φ1 = B * A.

To find the average emf (ε) induced in the coil, we divide the change in magnetic flux by the time interval (Δt) over which the change occurs:

ε = ΔΦ / Δt.

Given that the radius of the coil is 6.0 cm, the area (A) of the coil can be calculated using the formula for the area of a circle:

A = π * r²

where r is the radius of the coil. Substituting the values, we get:

A = π * (0.06 m)²

Substituting the values of B and A, and noting that the time interval Δt is 0.015s, we can calculate the average EMF induced in the coil:

ε = (B * A) / Δt.

By substituting the known values, the calculation becomes:

ε = (3.6x10⁻⁴ T) * (π * (0.06 m)²) / 0.015 s. =  2.714336 × 10⁻⁴

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Answer:

3,-10...........................

Answer:

vertex = (3, - 8 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

\(x_{vertex}\) = - \(\frac{b}{2a}\)

y = x² - 6x + 1 ← is in standard form

with a = 1 and b = - 6 , thus

\(x_{vertex}\) = - \(\frac{-6}{2}\) = 3

Substitute x = 3 into the function for y

y = 3² - 6(3) + 1 = 9 - 18 + 1 = - 8

vertex = (3, - 8 )

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Step-by-step explanation:

15 × 6/100=0.9

15+0.9=$15.9

Answer: $15.90

Step-by-step explanation:

15*0.06=.90 +15=15.90

In order to solve this problem, you need to first change 6% to a decimal. 6 divided by 100 is 0.06. Then, you need to multiply that by 15 to figure out the amount in tax. Finally, you need to add 15 dollars with 90 cents to get $15.90

Answer:

-6.75

Step-by-step explanation:

To find x, first you factorize the two coefficients of the variable 2x and -6x since x2=2x.

x(2-6)-20=7

x(-4)-20=7

x(-4)=27

x=27/-4

x=-6.75

Hello !

Answer:

\(\large \boxed{\sf x=9 \ \ \ or \ \ \ x=-3 }\)

Step-by-step explanation:

We are looking for the value of x that satifies the following equation :

\(\sf x^2 -6x -20 =7\)

Le'ts substract 7 from both sides :

\(\sf x^2 -6x -27 =0\)

This equation is a quadratic equation in the form ax²+bx+c=0

The solution of this equation is given by the quadratic formula :

\(\sf x=\dfrac{-b\pm\sqrt{\Delta}}{2a}\)

Where \(\sf \Delta = b^2-4ac\) is the discriminant.

There are 3 cases depending on the values of the discriminant :

Let's calculate the discriminant :

\(\sf \Delta = (-6)^2-4\times1\times(-27)\\\Delta = 36+108\\\underline{\sf \Delta = 144 > 0}\)

There are 2 real roots.

Now let's use the quadratic formula to find the two roots.

\(\sf x=\dfrac{-(-6)\pm \sqrt{144}}{2\times1} \\x=\dfrac{6\pm12}{2} \\\boxed{\sf x=9 \ \ \ or \ \ \ x=-3 }\)

Have a nice day ;)

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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The value of x in D o,k (x,9) -> (-10,-6) is (d) 15

The dilation rule is given as:

D o,k (x,9) -> (-10,-6)

Write out the coordinates

(x,9) -> (-10,-6)

Express as fraction

x/9 = -10/-6

Multiply both sides by 9

x = -9 * 10/-6

Evaluate the product

x = 15

Hence, the value of x in D o,k (x,9) -> (-10,-6) is (d) 15

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Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

It will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, Vincent deposits $165 at the end of each quarter, so P = $165. The annual interest rate is 6%, compounded quarterly, so the interest rate per compounding period, r, would be 6% divided by 4 (since there are 4 quarters in a year), which is 0.06/4 = 0.015.

We want to find the number of years, n, it will take for Vincent's savings to reach $9,000. Let's substitute the given values into the formula and solve for n:

9,000 = 165 * [(1 + 0.015)^n - 1] / 0.015

To solve this equation, we can use algebraic techniques or a financial calculator. Solving the equation, we find that n is approximately 15.83.

Since n represents the number of quarters, we need to convert it to years by dividing it by 4 (since there are 4 quarters in a year):

n (in years) = 15.83 / 4 ≈ 3.96

Therefore, it will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

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Answer:

60%

Step-by-step explanation:

The x component of the vector is 16.24m

The components of a vector in two dimension coordinate system are the parts of vectors generated along the axes(x and y) and are considered to be x-component and y-component. It can be represented as, (Vx, Vy), where V is the vector.

The x component of a vector V is Vcos¢

where¢ is the angle of vector

the positive equivalent angle of - 96.3 is 83.7°

x component= 148cos 83.7

Vx= 16.24m

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Answer:

-17(-)-18=-17+18=1 or -17+18=1

Step-by-step explanation:

if -17 is one number you Add 18.

-17(-)-18=-17+18=1

Answer:

the answer of the question is D

Answer:

157.5

Step-by-step explanation:

22.5+12*11.25=157.5

Answer:

(x + 2)² + (y - 5)² = 13

Step-by-step explanation:

equation of circle is (x - a)² + (y - b)² = r²

where a is x-coordinate of centre of circle, b is y-coordinate of centre of circle, r is the radius. radius = half of diameter.

(-2, 5) is centre.

radius = √((7 - 5)² + (1 - -2)²)

= √(4 + 9)

=√13

equation of our circle is (x - -2)² + (y - 5)² = (√13)²

(x + 2)² + (y - 5)² = 13