Use the dropdown menus and answer blanks below to prove the quadrilateral is a
rhombus.
L
I will prove that quadrilateral IJKL is a rhombus by demonstrating that
all sides are of equal measure
IJ =
JK =
KL =
LI =

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

The area of the shaded region is 240 ft.

Step-by-step explanation:

Area Formula: A = L * H

First, find the area of the WHOLE shape. (300 = 25 * 12)

Next, find the area of the WHITE section. (60 = 5 * 12)

Lastly, subtract the area of the entire shape to the area of the white section. (300 - 60 = 240)

Your final answer should be 240 ft. Hope this helps! :D

The values of the sets are

Union in set 3

The expression of set 3 is represented as:

{rationals} u {irrationals}

The above means that we determine the union of rational and irrational numbers.

So, we have:

{rationals} u {irrationals} = {rationals or irrationals}

When rational and irrational numbers are combined, the set is the set of real numbers.

So, we have:

{rationals} u {irrationals} = {real numbers}

Hence, {rationals} u {irrationals} = {real numbers}

Union and intersection in set 4

The expression of set 4 is represented as:

((3, 7) n (1, 5)) u [1, 11)

The above means that we determine the union and sets of numbers.

So, we have:

((3, 7) n (1, 5)) u [1, 11)

Evaluate the intersection set

((3, 7) n (1, 5)) u [1, 11) = (4) u [1, 11)

Evaluate the union set

((3, 7) n (1, 5)) u [1, 11) = [1, 11)

Hence, ((3, 7) n (1, 5)) u [1, 11) = [1, 11)

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Answer:

47.1 inches

Step-by-step explanation:

circumference is pi times diameter

3.14 times 15 is 47.1

Answer:

Step-by-step explanation:

47.1

The average increase in surface area is 94.2 cm²/s

The surface area of a sphere is given by the relation ; A = 4πr²

Where A is the surface area and r is the radius

The surface area of the sphere at 5cm is

A= 4× 3.14× 5²

A= 314cm²

The surface area of the sphere at 10cm is

A = 4× 3.14 × 10²

A = 1256cm²

Change in surface area from radius 5cm to 10 cm = (1256-314) cm²

= 942

rate of change of surface area in 10sec is

= 942cm²/10second

= 94.2cm²/second

Therefore the average rate of increase in the surface area is 94.2cm²/second

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Answer:

Answer is C

The inequality is x

<−6 or x>2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

       | 2x + 4 |  > 8        

         Case I                                 Case II

       2x + 4 > 8                            -(2x +4) > 8

            -4      -4                           -2x - 4 >  8

        2x      > 4                                   +4    +4    

           x   > 4/2                           -2x  > 12

            x > 2                               -x > 12/2

                                                   -x > 6    

                                                    x <  - 6  Multiply by -1 will change the inequality sign.  

       x >  2  and x< - 6

       x > 2    open circle at 2 and shade to the right.

       x < -6    open circle at -6 and shade to the left

Answer:

Charlie was 30 m behind Alice when she crossed the finish line.

Therefore, Charlie had ran 175 m at the point when Alice crossed the finish line.

Step-by-step explanation:

If Becky was 15 m behind Alice, and Charlie was 15 m behind Becky, then Charlie was 15 + 15 = 30 m behind Alice.

Total distance Charlie had run when Alice crossed the finish line:

225 - 30 = 175 m

Answer:

5

Step-by-step explanation:

7c³d²

This term has tow variables, c and d

Power of c is 3

Power of d is 2

Degree of this monomial is = 3+2 = 5

The point estimate of the difference in malaria admission rates between January and May can be calculated by comparing the proportions of patients treated for malaria in each month.

In January, out of 192 patients, 32 were treated for malaria, giving a proportion of 32/192 = 0.1667. In May, out of 403 patients, 34 were treated for malaria, giving a proportion of 34/403 = 0.0844.

The point estimate of the difference in malaria admission rates is obtained by subtracting the proportion in May from the proportion in January: 0.1667 - 0.0844 = 0.0823. Therefore, the point estimate of the difference in malaria admission rates between January and May is approximately 0.0823.

This means that the estimated difference in the proportion of malaria patients admitted in January compared to May is approximately 8.23 percentage points. However, it's important to note that this is just a point estimate based on the given sample data. To determine the statistical significance of this difference and draw more conclusive insights, further statistical analysis, such as hypothesis testing, would be required.

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For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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The angles of the given triangle are 136°,24°, and 20°.

Given that a triangle has angles as  4y°,(y-10)°, and 20° and asked to find out the angles of the given triangle

The sum of the angles of the triangle =180°

⇒4y°+(y-10)° + 20°=180° { adding the given angles and equating it to 180° as the sum of the angles in the triangle is 180°}

⇒5y+10=180°.{added all the given angles and equated it to 180°}

⇒5y=170°

⇒y=34°

⇒4y=136°, (y-10)°=24° and 20°

Therefore the angles of the given triangle are  136°,24°, and 20°.

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Step-by-step explanation:

x-3 = 2x

x = -3

Y = -3 -3

= -6

Y = 2× (-3)

= -6

hope it helps you.

:-))

The set of integers is a Pythagorean triple are option (A) 10, 24, 25 and (D) 6, 8, 10

A Pythagorean triple is a set of three positive integers a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right triangle.

Let's check each set of integers

A. 10^2 + 24^2 = 100 + 576 = 676 = 25^2. Therefore, (10, 24, 25) is a Pythagorean triple.

B. 9^2 + 12^2 = 81 + 144 = 225 = 15^2. Therefore, (9, 12, 15) is a Pythagorean triple. However, the set given is (9, 12, 21), which is not a Pythagorean triple.

C. 8^2 + 15^2 = 64 + 225 = 289 = 17^2. Therefore, (8, 15, 17) is a Pythagorean triple. However, the set given is (8, 15, 23), which is not a Pythagorean triple.

D. 6^2 + 8^2 = 36 + 64 = 100 = 10^2. Therefore, the set of integers (6, 8, 10) is a Pythagorean triple.

Therefore, the correct options are (A) 10, 24, 25 and (D) 6, 8, 10

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The given question is incomplete, the complete question is:

Which set of integers is a Pythagorean triple?

A.

10, 24, 25

B.

9, 12, 21

C.

8, 15, 23

D.

6, 8, 10

Answer:

x= -r-17n

     n-34

thats a fraction btw

Answer:

it is A . I hope its helpful

According to the question there are "20 sheep and 2 ducks in the field."

Let's assume the number of sheep in the field is represented by \(\( x \)\) , and the number of ducks is represented by \(\( y \)\).

Given:

Total number of animals: 22 (sheep + ducks) = 22

Total number of legs: 84 (4 legs per sheep + 2 legs per duck) = 84

We can set up a system of equations based on the given information:

Equation 1: \(\( x + y = 22 \)\)    (total number of animals)

Equation 2: \(\( 4x + 2y = 84 \)\)  (total number of legs)

To solve this system of equations, we can use the substitution method or the elimination method.

Let's use the elimination method to eliminate one variable:

Multiply Equation 1 by 2: \(\( 2x + 2y = 44 \)\)

Subtract Equation 2 from the modified Equation 1:

\(\( (2x + 2y) - (4x + 2y) = 44 - 84 \)\)

Simplifying, we get:

\(\( -2x = -40 \)\)

Divide both sides by -2:

\(\( x = 20 \)\)

Substitute the value of \(\( x \)\) back into Equation 1 to solve for \(\( y \):\)

\(\( 20 + y = 22 \)\)

\(\( y = 2 \)\)

So, there are 20 sheep and 2 ducks in the field.

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Answer:

3360 - 25% = 2520

Step-by-step explanation:

Step-by-step explanation:

diameter =20inches

radius =20/2=10 in

Surface area of sphere, A = 4πr²

π=3.14

area = 4×3.14×(10)²

area=1,256 in²

The angles that can be used to make ΔABC are 71°, 41° and 68°

In this question, we have been given some angles.

A 71°71°

B 36°36°

C 41°41°

D 88°88°

E 68°

We need to find angles that can be used to make ΔABC.

We know that the sum of all angles of triangle is 180°

We need to find three angles whose sum is 180°

71° + 41° + 68° = 180°

Since the sum of angles 71°, 41° and 68° is 180°, we can use these angles to make ΔABC

Therefore, the angles that can be used to make ΔABC are 71°, 41° and 68°

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If a model predicting minutes includes "ftmade" as an explanatory variable, the model would have two parameters: the intercept and the slope of "ftmade." The intercept represents the expected minutes when "ftmade" is zero, and the slope represents the expected increase in minutes for every one-unit increase in "ftmade."

The number of parameters in a model that predicts mins by including ftmade as an explanatory variable depends on the type of model being used.

If a simple linear regression model is used, the model would have two parameters: the intercept and the slope coefficient for the ftmade variable.

If a multiple linear regression model is used, which includes more than one explanatory variable, the model would have additional parameters for each additional explanatory variable included.

For example, if the model also included the variables age and gender, the model would have four parameters: the intercept, the slope coefficient for ftmade, the slope coefficient for age, and the coefficient for gender (assuming gender is coded as a binary variable).

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It will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

To determine the time it will take to save enough money, we can use the formula for the future value of an ordinary annuity:

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

where FV is the future value, P is the monthly payment, r is the monthly interest rate, and n is the number of periods.

Given:

Desired future value (FV) = $5000,

Monthly payment (P) = $240,

Monthly interest rate (r) = 5% / 12 = 0.05 / 12 = 0.004167.

We need to solve for the number of periods (n) in the formula. Rearranging the formula, we have:

n = log(1 + (FV * r) / P) / log(1 + r),

where log denotes the logarithm with base 10.

Plugging in the given values, we get:

n = log(1 + ($5000 * 0.004167) / $240) / log(1 + 0.004167).

Using a calculator, we find that n is approximately 20.998, which rounds up to 21.

Therefore, it will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

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A moderately intense, wide peak in the 3200-3400 cm⁻¹ region is indicative of the presence of hydroxyl (-OH) functional groups.

Identification of Hydroxyl Functional Groups Using Infrared Spectroscopy

One specific region of the infrared spectrum that can provide valuable information is the 3200-3400 cm⁻¹ region. If an unknown compound displays a moderately intense, wide peak in this region, it is highly likely that it contains a hydroxyl (-OH) functional group.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.

The presence of hydroxyl groups can be further confirmed by looking for other characteristic peaks in the IR spectrum, such as a broad peak in the 1600-1700 cm⁻¹ region for the bending vibrations of the -OH bond. Overall, infrared spectroscopy can be an effective method for identifying hydroxyl functional groups in unknown compounds.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.  This is because the stretching vibration of the -OH bond falls in the range of 3200-3400 cm⁻¹ and the hydroxyl group is characterized by a broad, intense peak due to the high density of vibrational modes.

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Answer:

8.7m

Step-by-step explanation:

Use the Pythagorean theorem, a^2 + b^2 = c^2

a and b are the sides going either horizontally or vertically, it doesn't matter which is which as long as it's only between those 2.

c is the diagonal side, also called the hypotenuse.

so plug in:

a^2 + b^2 = c^2

5^2 + b^2 = 10^2

25 + b^2 = 100

subtract 25 from both sides

b^2 = 75

square root both sides

\(\sqrt{b^2} = \sqrt{75}\)

b = 8.66, round it up and it's 8.7

more info needed for the question

The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6

Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.

Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.

Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.

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The angle CAB of the triangle with the given vertices is approximately 137.86 degrees.

To find the angles of the triangle with the given vertices, we can use the dot product and inverse cosine functions.

First, we calculate the vectors AB and AC by subtracting the coordinates of point A from B and C, respectively.

\(AB = (3 - 1, -4 - 0, 0 - (-1)) = (2, -4, 1)\\AC = (1 - 1, 3 - 0, 4 - (-1)) = (0, 3, 5)\)
Next, we calculate the dot product of AB and AC using the formula AB · \(AC = (ABx)(ACx) + (ABy)(ACy) + (ABz)(ACz).\\AB · AC \\= (2)(0) + (-4)(3) + (1)(5) \\= 0 - 12 + 5 \\= -7\)

Then, we calculate the magnitudes of vectors AB and AC using the formula

\(||AB|| = sqrt(ABx^2 + ABy^2 + ABz^2) and ||AC|| \\= sqrt(ACx^2 + ACy^2 + ACz^2).\)

\(||AB|| = sqrt(2^2 + (-4)^2 + 1^2) = sqrt(4 + 16 + 1) = sqrt(21)\\||AC|| = sqrt(0^2 + 3^2 + 5^2) = sqrt(0 + 9 + 25) = sqrt(34)\)

Finally, we can calculate the angle CAB using the inverse cosine function, acos, with the formula \(acos(AB · AC / (||AB|| * ||AC||)).\)

\(CAB = acos(-7 / (sqrt(21) * sqrt(34)))\)

Calculating this angle gives us \(CAB ≈ 137.86\) degrees.

Therefore, the angle CAB of the triangle with the given vertices is approximately 137.86 degrees.

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Answer:

42

Step-by-step explanation:

i said so

The restaurant charge 775 $ in total for a private party with 45 guests.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the total number of guest is x;

and, the Total Cost of Hosting a Private Party be y;

here it is given that :

A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party then, this van be shown in linear equation as :

y = 15x + 100

Now, for 45 number of guests that is x = 45, then y will be :

y = 15x + 100

y = 15 x 45 + 100

y = 675 + 100

y = 775 $

Thus, the restaurant charge 775 $ in total for a private party with 45 guests.

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Answer:

-6

Step-by-step explanation:

The equation for this line is y=x-3, so the equation turns into

y=-3-3

-3-3=-6

so therefore, y=-6 when x=-3

Answer:

It would be Zero, because x is -3.

So y would be 0.

Step-by-step explanation:

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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