What is the value of x, given that OP||NQ ?

Answer:

Rhombus

Step-by-step explanation:

Just graph on the coordinate grid.

Answer:

Parallelogram

Step-by-step explanation:

You have to put the coordinates in a Cartesian diagram and connecting the points you will find the figure

Answer:

1/5 and 9/4

Step-by-step explanation:

Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The reciprocal of a number [x] is given by [1/x].

We have the following numbers -

5 and 4/9

We can write -

x = 5

y = 4/9

So, the reciprocal of [x] would be [1/x]. Therefore, the reciprocal of 5 will be 1/5.

The reciprocal of [y] would be [1/y]. Therefore, the reciprocal of 4/9 will be 9/4.

Therefore -

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The solution to the products of exponents is as follows;

1) -24a³b⁷

2) 15a⁵b¹⁵

3) -10d⁴ + 17sd² - 6s²

4) 6x³ - 33x² + 45x - 6

5) 21x⁷y¹¹

6) 8y⁴ + 25y³ + 60y² + 10y + 7

7) 20s³ + 50s² + 32s + 6

The Product of Powers Property of exponents states that when we multiply two powers with the same base, we add the exponents.

1) (3a²b⁴) * (-8ab³)

= -24a³b⁷

2) (3a²b⁷) * (5a³b⁸)

= 15a⁵b¹⁵

3) (-2d² + s)(5d² - 6s)

Expanding the bracket to get;

(-10d⁴ + 5sd² + 12sd² - 6s²)

= -10d⁴ + 17sd² - 6s²

4) (3x - 6) * (2x² - 7x + 1)

= 6x³ - 33x² + 45x - 6

5) (7x²y³) * (3x⁵y⁸)

= 21x⁷y¹¹

6) (y² + 3y + 7) * (8y² + y + 1)

= 8y⁴ + 25y³ + 60y² + 10y + 7

7) (4s + 2) * (5s² + 10s + 3)

= 20s³ + 50s² + 32s + 6

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Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define equation

4(x + 4) = 6(x - 2)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

And we have our final answer!

Answer: 14 = x

Step-by-step explanation: Start by distributing through the parenthses

on each side of the equation to get 4x + 16 = 6x - 12.

Now move your x's to the right and numbers

to the left and you get 28 = 2x.

Divide both sides by 2 and 14 = x.

Answer:

e) 17 miles

Step-by-step explanation:

15^2+8^2=289

\(\sqrt{289\)=17

Answer:

  20 mph

Step-by-step explanation:

Given that a dolphin swam 7 1/2 miles in 3/8 hour, you want its average speed in miles per hour.

The average speed is the ratio of distance to time:

  speed = distance/time

  speed = (7 1/2 mi)/(3/8 h) = (15/2)(8/3) mi/h = 20 mi/h

The dolphin's average speed was 20 miles per hour.

The K-Means algorithm terminates when. a user-defined minimum value for the summation of squared error differences between instances and their corresponding cluster center is seen.

The K-Means algorithm terminates when

A) a user-defined minimum value for the summation of squared error differences between instances and their corresponding cluster center is seen.

B) the cluster centers for the current iteration are identical to the cluster centers for the previous iteration.

C) the number of instances in each cluster for the current iteration is identical to the number of instances in each cluster of the previous iteration.

D) the number of clusters formed for the current iteration is identical to the number of clusters formed in the previous iteration.

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If in a survey, 200 college students were asked whether they live on campus and if they own a car, 55% of college students in the survey don't own a car.

To find the percent of college students who don't own a car, we need to add up the number of students who don't own a car and divide it by the total number of students in the survey. In this case, the total number of students in the survey is 200.

From the table, we can see that there are 88 students who live on campus and don't own a car, and 22 students who don't live on campus and don't own a car. So the total number of students who don't own a car is 88 + 22 = 110.

To find the percentage, we divide the number of students who don't own a car by the total number of students in the survey and then multiply by 100 to get the percentage:

Percentage of students who don't own a car = (110/200) x 100% = 55%

When working with percentages, we need to divide the number we are interested in by the total and then multiply by 100 to get the percentage.

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Answer:

58 = 3.5x + 2

Step-by-step explanation:

Since $3.50 is charged for every mile, we multiply x by 3.5 like this: 3.5x

$2 is already added on as a free so + 2

$58 is the total amount of money for all of the charges including the per mile and pick-up fee.

This was we can solve for the number of miles, x

58 = 3.5x + 2

- 2            - 2

56 = 3.5x

56/3.5 = 3.5x/3.5

x = 16

The taxi drove a total of 16 miles

Answer:

218 cm²

Step-by-step explanation:

= high × wide

= 9 × 2

= 18

= 6 × (5+3)

= 6 × 8

= 48

= 8 × (11+5+3)

= 8 × 19

= 152

area throughout

= 152 + 48 + 18

= 218 cm²

Answer:

28.8 yd^2

Step-by-step explanation:

Area of triangle = (1/2) · b · h

Base = 9 yd

Height = 6.4 yd

We take

(1/2) · 9 · 6.4 = 28.8 yd^2

So, the area of the triangle is 28.8 yd^2

Answer:

Steps are shown

Step-by-step explanation:

Exponent Rules

We need to recall this fundamental rule for exponents:

\(\displaystyle \sqrt[n]{a^m}=a^{m/n}\)

We are given the expression:

\(f(n)=\left ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}\)

We'll use algebra and the above rule to manipulate the expression.

First, get rid of the unit Hz and move the coefficient 440 to the left:

\(f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}\)

Now we convert the radical into an exponent form:

\(\displaystyle \left ({\sqrt[{12}]{2}}\,\right)^{n-49}=(2)^{\frac{n-49}{12}}\)

Substitute:

\(f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}=440~(2)^{\frac{n-49}{12}}\)

This is the very same expression in formula 2, as required.

Answer:

X = 2

Step-by-step explanation:

First we'll need to simplify this equation:

Add 9x on both sides:

13x - 21 = 5

Add 21 on both sides:

13x = 26

Divide 26/13

26/13 = 2

X=2

(You can check this yourself by plugging x into the equation)

Answer:

I'm sorry your paper is not clear please retake the picture and again attached it

Step-by-step explanation:

Answer:

z=500

Step-by-step explanation:

since we know that the whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

250=750-z

-500=-z

z=500

The value of z for the function f(x)=150/x-z is z=500.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the function f is defined by f(x)=150/x-z where z is a constant. The value of the function at x = 1/5 is 250.

The value of the constant z will be calculated as,

The whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

Simplify the equation and solve for the value of z,

250=750-z

-500=-z

z=500

Therefore, the value of z for the function f(x)=150/x-z is z=500.

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36×(35)-1000=1260-1000=260

Answer:

tbh there are quite a lot of possibilities

I'll just name the properties but not show which angle applies to it cos that's too time consuming

Step-by-step explanation:

vertically opposite angles

interior / exterior alternate angles

corresponding angles

angles on a straight line are supplementary

The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).

It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):

1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).

To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.

2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.

In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.

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Answer:

24

Step-by-step explanation:

multiply base x height

The function can be represented as follows;

(s + t)(x) = 5x + 5

(s - t)(x) = -3x - 1

(s.t)(x) = 4x + 5

Function can be solved by using techniques of substitution.

s(x) = x + 2

t(x) = 4x + 3

Therefore,

(s + t)(x) = s(x) + t(x)

s(x) + t(x)  = x + 2 + 4x + 3

s(x) + t(x)  = x + 4x + 2 + 3

s(x) + t(x)  = 5x + 5

(s - t)(x) = s(x) - t(x)

s(x) - t(x) = x + 2 - (4x + 3)

s(x) - t(x) =  x + 2 - 4x - 3

s(x) - t(x) = x - 4x + 2 - 3

s(x) - t(x) = -3x - 1

(s.t)(x) = s(t(x))

s(t(x)) = (4x + 3) + 2

s(t(x)) = 4x + 3 + 2

s(t(x)) = 4x + 5

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Answer:

Your answer is: 4v5i

Step-by-step explanation:

Hope this helped : )

Answer:

Step-by-step explanation:

step one:

given data

we are given the equation of the circle as

\((x -4)2^ + (y + 6)^2 = 64\)----------------1

We know that the general equation for a circle is

\(( x - h )^2 + ( y - k )^2 = r^2\)--------------2

comparing the two equations above, we can immediately compare the term on the other side of the equality sign that is

r^2=64

square root both sides

r=√64

r=8

since the radius is 8, hence the diameter is

d=2

r= 2*8

=16

Answer:

C. 16

Step-by-step explanation:

Edge!

Answer:

c o n f u s i o n

Step-by-step explanation:

Uh... I dunno, sure, the perimeter of a rectangle is 62 m, I guess?

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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The calculated area of the triangle is 13.5 square units

From the question, we have the following parameters that can be used in our computation:

H(5,2), I(8,5), and J(3,9)

The area of the triangle in square units is calculated as

Area = 1/2 * |x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₁ - x₁y₃|

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * |5 * 5 - 8 * 2 + 8 * 9 - 3 * 5 + 3 * 2 - 5 * 9|

Evaluate the sum and the difference of products

Area = 1/2 * 27

So, we have

Area = 13.5

Hence, the area of the triangle is 13.5 square units

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Question

Triangle HIJ, with vertices H(5,2), I(8,5), and J(3,9), is drawn inside a rectangle, as shown below.

Calculate the area of the triangle

Answer:

2

Step-by-step explanation:

2×2=4 4-4=0 so the answer is 2

Answer:

2

Step-by-step explanation:

g(x)=2x-4

x=? when g(x)=0

we know,

g(x)=2x-4

0=2x-4

4=2x

x=4/2

x=2#

Answer:

I think it's probably 1/4

Step-by-step explanation: It's probably 1/4 since you are really only taking away both of the ones and then dividing 2 and 8 that equals 4 so then you add the only 1 of the the ones and then you get 1/4

Hi there, here's your answer:

So given in the question is a right angled triangle, ΔABC, right angled at C

Also given AC = 6 units, AB = 8 units

To find, ∠A

We know that cosФ = \(\frac{adj}{hyp}\)

And \(\frac{6}{8} = \frac{2}{3} = 0.67\)

Therefore, the angle measure of ∠A will be 47.93°

Answer:

The angle between the two lines is 72.35° ⇒ to the nearest hundredth

Step-by-step explanation:

∵ The equation of the first line is 4x - 5y = 11

∴ a = 4 and b = -5

→ By using the 3rd rule of the slope above

∵ m\(_{1}\) = \(\frac{-4}{-5}\) = \(\frac{4}{5}\)

∴ m\(_{1}\) = 0.8

→ By using the 2nd rule above

∵ tan Ф\(_{1}\) = 0.8

∴ Ф\(_{1}\) = \(tan^{-1}\)(0.8)

∴ Ф\(_{1}\) = 38.66° ⇒ to the nearest hundredth

∵ The equation of the first line is 2x + 3y = 7

∴ a = 2 and b = 3

→ By using the 3rd rule of the slope above

∵ m\(_{2}\) = \(\frac{-2}{3}\)

∴ m\(_{2}\) = \(-\frac{2}{3}\)

→ By using the 2nd rule above

∵ tan Ф\(_{2}\) =  \(-\frac{2}{3}\)

∴ Ф\(_{2}\) = \(tan^{-1}\)( \(-\frac{2}{3}\))

∴ Ф\(_{2}\) = -33.69° ⇒ to the nearest hundredth

→ By using the 1st rule above

∵ Ф = -33.69 - 38.66

∴ Ф = -72.35°

→ Ignore the negative sign

∴ The angle between the two lines is 72.35° ⇒ to the nearest hundredth

V.I.N:

You can use this rule to find the angle between 2 lines tan Ф = I\(\frac{m_{2}-m_{1}}{1+m_{1}.m_{2}}\)I