Identify each subset of the real number system that describes 21/7) Integers) Whole numbers) Natural numbers) Rational numbers) Irrational numbers

The formula for calculating it is perimeter of the rectangle = 2(length + width), meaning that it is equal to twice the sum of its length and width.

Given that,

We have to find which equation perfectly describes the ABCD rectangle's perimeter? How do you determine a rectangle's length and width given its perimeter?

We know that,

The total length of a rectangle's outer boundary is known as its perimeter. The formula for calculating it is perimeter = 2(length + width), meaning that it is equal to twice the sum of its length and width.

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in metres, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

A rectangle has four 90° angles.

The diagonals of a rectangle are all of the same length.

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Answer:

Because two adjacent angles from a right angle sums up to 90° and the larger angle is 3 times the measurement of the smaller angle, the equation would be 3a + a = 90° (A will be the substituting variable for the smaller angle). Add the like terms to get 4a=90. Divide 4 on both sides to get 22.5°. Substitute 22.5 into the variable, a, to get 67.5. This means that the larger angle would be 67.5° and the smaller angle would be 22.5°.

Solve for \(t\) when \(h=0\), given \(v_0=0\) and \(h_0 = 4\).

\(0 = -16t^2 + 4 \implies 16t^2 = 4 \implies t^2 = \dfrac14 \implies t = \dfrac12\)

so it will take half a second for the ball to hit the ground.

Answer:

$308

Step-by-step explanation:

First, you have to find out how much it costs per pound, so you would divide 231 by 21. each pound of potatoes costs $11. so 11 x 28 would make it $308.

Answer:

$308

Step-by-step explanation:

$231/ 21lbs= $11 per pound

so, $11 x 28lbs = $308

Answer:

3)  \(y=\dfrac35x+\dfrac25\)

4) a)  \(y=-2x+7\)

  b)  \(y=\dfrac12x+\dfrac92\)

Step-by-step explanation:

Exercise 3

\(-3x + 5y = 2\)

\(\implies 5y = 3x + 2\)

\(\implies y=\dfrac35x+\dfrac25\)

Exercise 4

a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ \(m = -2\)

If L2 passes through point (3, 1):

\(y-y_1=m(x-x_1)\)

\(\implies y-1=-2(x-3)\)

\(\implies y=-2x+7\)

So L2 = L1

b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1  ⇒  \(m = \dfrac12\)

If L3 passes through point (-5, 2):

\(y-y_1=m(x-x_1)\)

\(\implies y-2=\dfrac12(x+5)\)

\(\implies y=\dfrac12x+\dfrac92\)

#Ex-3

\(\\ \tt\rightarrowtail -3x+5y=2\)

\(\\ \tt\rightarrowtail 5y=2+3x\)

\(\\ \tt\rightarrowtail y=3/5x+2/5\)

#Ex_4(1)

Equation in point slope form

\(\\ \tt\rightarrowtail y-1=3/5(x-3)\)

\(\\ \tt\rightarrowtail 5y-5=3x-9\)

\(\\ \tt\rightarrowtail 3x-5y-4=0\)

#2

\(\\ \tt\rightarrowtail y-2=-5/3(x+5)\)

\(\\ \tt\rightarrowtail 3y-6=-5x-25\)

\(\\ \tt\rightarrowtail 5x+3y+19=0\)

Hence, the banquet's overall payroll came to $1,495 as the number of captains by their pay rate, and the number of hours worked.

We must first determine the rate of pay for each group of employees before multiplying that number by the total number of employees for the dinner. The pay rate for captains is as follows because they are paid 60% above the rest of the staff: Compensation for captains is $17 per hour plus 60% of that amount, or $17 plus $10.20, for a total hourly wage of $27.20. The pay rate for the remaining employees is: $17 per hour is the pay rate for waitresses, bartenders, and hosts. Now, we can determine the banquet's overall payroll using the formula below.

given

We must first determine the pay rate for each group of employees before multiplying that number by the total number of employees for the dinner.

The pay rate for captains is as follows because they are paid 60% more than the rest of the staff:

Compensation for captains is $17 per hour plus 60% of that amount, or $17 plus $10.20, for a total hourly wage of $27.20.

The pay rate for the remaining employees is:

$17 per hour is the pay rate for servers, bartenders, and hosts.

Now, we can determine the banquet's overall payroll using the formula below:

Total payroll is calculated by multiplying the number of servers by their pay rate, the number of bartenders by their pay rate, the number of hosts by their pay rate, the number of captains by their pay rate, and the number of hours worked.

Total payroll is (14 x $17) plus (5 x $17) plus (4 x $17) plus (2 x $27.20) x 5 = $238 plus $85 plus $68 plus $272 x 5

Total compensation: $1,495

Hence, the banquet's overall payroll came to $1,495 as the number of captains by their pay rate, and the number of hours worked.

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Answer:

option 1 is the correct one

When the sequence limn→∞ (1 n! ∫x t = a f(n+1)(t)(x−t)n d t) converges to zero, as seen on the left side equation the Taylor series will accurately converge to f(x). For the Taylor series of f, this side is known as the integral form of the remainder (x).

Rn(x) = f(n+1)(c) (n + 1); thus, (x a)n + Rn(x)! when there is a c between a and x, (x a)n+1. The Taylor formula is the name given to the second equation. The residual of order n or error term for the Pn(x) over I approximation of f is known as the function Rn(x) (x). To integrate a Taylor Series function, expand the Taylor Series as usual before integrating each term. There is a general expression for the new series. Prior to determining the generic phrase, it is essential to avoid simplification.

Assume that f(x) is a real or composite function and that f(x) is a differentiable function of a real or composite neighborhood number. The following power series is then described by the Taylor series: F (x) = F a F ′ a 1! (x−a)+f”(a)2!

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Based on the question, the 4 in the second figure is 10 times larger in value than the 4 in the first figure.

If we check the  "47163," which is the second number , we can see that  4 is in the ten-thousands position.

Then in the  first figure, "34258," the value 4 is in the one-thousands position.

Therefore, Based on the question, the 4 in the second figure is 10 times larger in value than the 4 in the first figure.

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Answer:

263

Step-by-step explanation:

Answer:

answer is 273

Step-by-step explanation:

use the arithmetic sequence

a86=18+(86-1)(3)

a86=18+ (85)(3)

273

Angle JKL has a measure of 24 degrees while angle LKM has a measure of 12 degrees

The possible question is added at the end of the solution and as an attachment

From the attached figure, we have the following angles

From the attached figure, we can see that:

Angle 1 is twice the measure of angle 2

This is so because, the angle 1 is the vertex angle of an isosceles triangle

While the angle 2 is half of it

So, we have

Angle 1 = 2 * Angle 2

Substitute the known values in the above equation

So, we have

2 * 3x = 5x + 4

Evaluate the product

So, we have

6x = 5x + 4

Evaluate the like terms

x = 4

Substitute x = 4 in the equations JKL=5x+4 and LKM=3x

So, we have

JKL= 5 x 4 + 4

LKM = 3 x 4

Evaluate the equations

So, we have

JKL= 24

LKM = 12

Hence, the measures of the angles are JKL= 24 and LKM = 12, respectively

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Answer:

I believe that 2, 4 and 5 are correct

Step-by-step explanation:

Answer:

18 divided by 4.

Step-by-step explanation:

1/2x9= 4 1/2 and when you divide 18 divided by 4 you get 4 1/2 (4.5)

Answer:

Ok I got you. Please please please trust me. Use mathpapa.com

Step-by-step explanation:

I don't want you to get the wrong answer, especially if your teacher is super specific, so go to mathpapa and it will help you.

Answer:

x<20.80

Step-by-step explanation:

So you have your equation

3.00+2.50x<55.00

So now solve it

subtract 3 on both sides:

2.50x<52.00

Divide 2.50 on both sides:

Which is 20.8

So the equation looks like this:

x<20.80

Hope this helps!

Answer:

x <  20.8

Step-by-step explanation:

\(3.00+2.50x <55.00\\\rule{150}{0.5}\\3 - 3 + 2.50x < 55 - 3\\\\2.50x < 52\\\\\frac{2.50x<52}{2.50}\\\\\boxed{x < 20.8}\)

Answer:

I THINK ITS 20?

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

5/6 + 7/9 = 1 11/18

Answer:

480

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

\(\frac{1}{1*2} +\frac{1}{2*3} +\frac{1}{3*4}+\frac{1}{4*5} + \frac{1}{5*6}+\frac{1}{6*7}+\frac{1}{7*8}+\frac{1}{8*9}+\frac{1}{9*10}\)

simplify the fraction and the result is 9/10

Answer:

1) 5y + 5z

2) 10x⁴ - 10x³ + 2x² + 18x - 11

Step-by-step explanation:

Given the subtraction of the following polynomial expressions:

In order to make it easier for us to perform the required mathematical operations, we must first rearrange the terms in the subtrahend by alphabetical order.

-3x - 4y + 11z  

-3x - 9y + 6z  ⇒ This is the subtrahend.

Now, we can finally perform the subtraction on both trinomials:

\(\displaystyle\mathsf{\left \ \quad\:\:\:\:{-3x - 4y + 11z} \atop -\quad{\underline{-3x - 9y + 6z\:\:\underline}} \right.}\)

In the subtrahend, the coefficients of x and y are both negative. Thus, performing the subtraction operations on these coefficients transforms their sign into positive.  

\(\displaystyle\mathsf{\left \ \quad\:\:\:\:{-3x - 4y + 11z} \atop -\quad{\underline{-3x - 9y + 6z\:\:\underline}}\right.} \\\qquad\sf {\qquad\:\:\:0x\:+\:5y\:+5z\)

The difference is: 5y + 5z.

Similar to the how we arranged the given trinomials in Question 1, we must rearrange the given polynomials in descending degree of terms before subtracting like terms.

3x⁴- 4x³ + 7x - 2           ⇒  Already in descending order (degree).

9 - 7x⁴ + 6x³- 2x² - 11x​   ⇒  -7x⁴ + 6x³- 2x² - 11x​ + 9

In subtracting polynomials, we can only subtract like terms, which are terms that have the same variables and exponents.  

\(\displaystyle\mathsf{\left \ \quad\:\:{3x^4\:-4x^3\:+\:0x^2\:+\:7x\:-\:2} \atop -\quad{\underline{-7x^4\:+6x^3\:-2x^2\:-11x\:+\:9 \:\:\underline}}\right.}\)  

In the minuend, I added the "0x²" to make it less-confusing for us to perform the subtraction operations.  

The same rules apply in terms of coefficients with negative signs in the subtrahend, such as: -7x⁴, - 2x², and - 11x​ ⇒  their coefficients turn into positive when performing subtraction.  

\(\displaystyle\mathsf{\left \ \quad\:\:{3x^4\:-4x^3\:+\:0x^2\:+\:7x\:-\:2} \atop -\quad{\underline{-7x^4\:+6x^3\:-2x^2\:-11x\:+\:9 \:\:\underline}}\right.} \\\qquad\sf {\qquad\:\:10x^4-10x^3+2x^2+18x\:-11\)  

Therefore, the difference is: 10x⁴ - 10x³ + 2x² + 18x - 11.

Answer:

\(\fbox{\begin{minipage}{8em}Not a solution\end{minipage}}\)

Step-by-step explanation:

Step 1: Consider the assumption:

Generally, \((6, 7)\)) is supposed to be the pair of 2 components, in which, the first component is x-component (domain), the second component is y-component (range).

Hence, \(x = 6, y = 7\)

Step 2: Substitute \(x\) and \(y\) into the inequality

       \(y > 2x - 5\)

<=>  \(7 > 2*6 - 5\)

Step 3: Simplify

<=>  \(7> 12 - 5\)

<=>  \(7 > 7\)

Step 4: Evaluate

Invalid

Reason: \(7 = 7\)

Step 5: Conclude

\((6, 7)\) is not a solution to the inequality \(y > 2x - 5\)

Hope this helps!

:)

The range is given by

The range of the ordered pairs are (-2,0,1,4)

Answer:

-6a-48

Step-by-step explanation:

Answer:

-6a - 48

Step-by-step explanation:

distribute

-6 x a = -6a

-6 x 8 = -48

put the answer together

-6a - 48

Answer:

Step-by-step explanation:

AB and DC are parallel, so ∠B and ∠C are supplementary angles.

∠B = 180°-∠C = 79°

AD and BC are congruent. ∠A = ∠B = 79°

The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.

To find the probability that a randomly selected student will like pizza but not chicken nuggets.

Let P = the number of students who like pizza but not chicken nuggets

Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets

P = 28n - 8

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students)

We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:

Total number of students = 28n + 15 - 8 = 28n + 7

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)

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Answer:

x = 0

Step-by-step explanation:

-(x + 2) – 2x = -2(x + 1)

-x-2-2x = -2x-2

-3x-2 = -2x-2

-3x+2x = -2+2

x = 0

Answer:

Step-by-step explanation:

-(x + 2) – 2x = -2(x + 1)

=> - x - 2 - 2x = -2x - 2

=> - 2 + 2 = - 2x + 2x + x

=> 0 = x or x = 0 (Ans)

The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

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Answer:

Step-by-step explanation:

Given line:

Convert the equation into slope-intercept form:

It has a slope of 1/4.

Parallel lines have equal slopes.

Find the parallel line lines that passes through the point (2, - 5):

Substitute x and y values to work out the value of b:

The line is:

Covert this into standard form:

Isolate y

\(\\ \sf\longmapsto x-20=4y\)

\(\\ \sf\longmapsto y=\dfrac{1}{4}x-5\)

Equation of line in point slope form

\(\\ \sf\longmapsto y-y_1=m(x-x_1)\)

\(\\ \sf\longmapsto y+5=1/4(x-2)\)

\(\\ \sf\longmapsto 4y+20=x-2\)

\(\\ \sf\longmapsto x-4y+22=0\)