Hello I would Like some help on Graphing Inequalities​

Answer:

Slope=-2  Y-Intercept= (0,5)

Step-by-step explanation:

Adding two numbers combines their values

Subtracting one number from another finds the difference between the two values

Multiplying two numbers gives the product of their values

Dividing one number by another gives the quotient of their values

By performing the same operations on both sides, to maintain the balance and validity of the equation.

Arithmetic Operations with Whole Numbers, Integers, Fractions, and Decimals:

1. Addition: Adding two numbers combines their values. For example,

2 + 3 = 5.

This operation is commutative, meaning the order of numbers doesn't affect the result.

2. Subtraction: Subtracting one number from another finds the difference between the two values. For example,

5 - 3 = 2.

This operation is not commutative since changing the order of numbers will yield a different result.

3. Multiplication: Multiplying two numbers gives the product of their values.

For example, 2 * 3 = 6.

This operation is commutative.

4. Division: Dividing one number by another gives the quotient of their values. For example,

6 / 2 = 3.

Division is not commutative, and it's important to note that division by zero is undefined.

When solving equations, what is done to one side of the equation must also be done to the other side. This is because an equation represents a balance or equality between two expressions. The goal is to isolate the variable on one side of the equation and keep the equation balanced.

By performing the same operation on both sides of the equation, maintain equality. If  only performed an operation on one side, the equation would become unbalanced, and the equality would be lost.

For example, let's solve the equation 2x + 5 = 11 for x:

1. Start with the equation:

2x + 5 = 11.

2. To isolate the term with x, subtract 5 from both sides:

2x + 5 - 5 = 11 - 5.

  This simplifies to:

2x = 6.

3. Finally, divide both sides by 2 to solve for x:

(2x) / 2 = 6 / 2.

  This gives the solution:

x = 3.

If only subtracted 5 from one side of the equation, the equality would be broken, and the solution would be incorrect. By performing the same operations on both sides, maintain the balance and validity of the equation.

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Answer:

X = 35

Step-by-step explanation:

Since the line is crossing two parallel lines the measurements are equal then you solve for X.

2X + 20 = 3X - 15

-2X           -2X

20 = X - 15

+15      +15

35 = X

Answer:

x=35

Step-by-step explanation:

The expressions are corresponding angles which are congruent.

Set the two equations equal to each other.

2x+20=3x-15

Add and subtract like terms

35=1x

Divide:

35/1=35

X=35

Hope this helps! :)

Correct me if I'm wrong!

Answer:

54

Explanation:

(f/g)(x) is equal to:

Because f(x) = 2x² and g(x) = √x.

Then, to evaluate for x = 9, we need to replace x by 9, so:

Therefore, the answer is 54.

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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The number of electoral votes does the state of nevada have in the electoral college is 6 electoral votes.

Nevada will be having a total of 6 electoral votes in the electoral college. The number of electoral votes for each state is equal to the total number of its members in Congress, which will be including its representatives in the House of Representatives and its two senators.

Therefore, since Nevada has 4 members in the House of Representatives and 2 senators, the state has a total of 6 members in Congress, and hence it can be concluded that a total of 6 electoral votes will be there in the Electoral College.

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Answer:

congrats to him

For the given the formula f (n) = 35 - 5n, the 5th term of the sequence is f(5) = 10.

A sequences is an ordered sets of integers (usually called ad "terms"), such as 1, 5, 9. Some sequences follow a specific pattern that can be exploited to indefinitely expand them. For example, 4, 9, 14 follows the pattern "add 5," and we can now proceed with the sequence. Formulas that tell us how to discover any term in a series can be found in sequences.

The formula of the sequence in this case is:

f(n) = 35 - 5n.

Then

n = 1  -->  f(1) = 35 - 5(1) = 30

The 5th term means we substitute n = 5 into the formula.

n = 5   -->  f(5) = 35 - 5(5) = 35 - 25 = 10

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Simple random sampling is a frequently chosen for its simplicity and periodicity.

What is frequently ?

Frequently refers to something that happens or occurs often or many times. It is an adverb that describes the regularity of an action or event, indicating that it happens with a high frequency or on a regular basis.

Simple random sampling is a random sampling technique that is frequently chosen by researchers for its simplicity and its periodic quality. This technique involves randomly selecting a sample from a larger population, with each individual in the population having an equal chance of being selected. Simple random sampling is considered to be an unbiased and efficient method for selecting a representative sample, and it is often used as a benchmark for comparing other sampling methods.

Simple random sampling is a frequently chosen for its simplicity and periodicity.

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Answer

A. -128, 254, -508

The average value of the temperature function t(x,y,z)=100−20z on the cone \(z^2 = x^2 + y^2\) for 0≤z≤4 is 320\(\pi\)

To find the average value of the temperature function t(x,y,z) over the given cone, we need to evaluate the integral of t(x,y,z) over the cone and divide by the volume of the cone.

First, we need to find the bounds of integration. Since the cone is defined by \(z^2 = x^2 + y^2\), we can use cylindrical coordinates to integrate over the cone. In cylindrical coordinates, the cone is described by 0 ≤ r ≤ 4sinθ and 0 ≤ θ ≤ 2π, with 0 ≤ z ≤ 4.

Now, we can set up the integral to find the average value:

\(\text{Average&space;Value}&space;=&space;\frac{1}{\text{Volume}}\iiint\limits_D&space;t(x,y,z)&space;dV" title="\text{Average Value} = \frac{1}{\text{Volume}}\iiint\limits_D t(x,y,z) dV\)

where D is the region of integration, which in this case is the cone defined by 0 ≤ r ≤ 4sinθ, 0 ≤ θ ≤ 2π, and 0 ≤ z ≤ 4.

The volume of the cone can be found using the formula V = (1/3)πr^2h, where r = 4sinθ and h = 4. Thus,

\(\text{Volume}&space;=&space;\int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta}&space;rdrd\theta&space;dz&space;=&space;\frac{32\pi}{3}" title="\text{Volume} = \int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta} rdrd\theta dz = \frac{32\pi}{3}\)

Now, we can evaluate the integral of t(x,y,z) over the cone:

\(\text{Integral}&space;=&space;\int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta}&space;(100-20z)rdrd\theta&space;dz" title="\text{Integral} = \int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta} (100-20z)rdrd\theta dz\)

Using the substitution u = 4sinθ and du = 4cosθ dθ, we can simplify the limits of integration for θ and the integrand:

\(\text{Integral}&space;=&space;\int_0^{4}\int_0^{u}\int_0^{\frac{\pi}{2}}&space;(100-20z)rdrd\theta&space;dz&space;=&space;2\pi\int_0^{4}\int_0^{u}(100u-20u^2)rdrdz&space;=&space;320\pi" title="\text{Integral} = \int_0^{4}\int_0^{u}\int_0^{\frac{\pi}{2}} (100-20z)rdrd\theta dz = 2\pi\int_0^{4}\int_0^{u}(100u-20u^2)rdrdz = 320\pi\)

Therefore, the average value of the integral ia 320π

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Answer:

y = 18

Step-by-step explanation:

15/-5 = y/-6

cross-multiply:

-5y = -90

y = 18

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

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Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

The area surface generated by revolving the curves about the x-axis is 9.87 square units

To find the surface area generated by revolving the curve y=sin(x) about the x-axis, we use the formula:

S = 2π∫aᵇ y ds

where a and b are the limits of integration, y is the function being revolved, and ds is the differential element of arc length.

To find ds, we use the formula:

ds = √(1 + (dy/dx)²) dx

where dy/dx is the derivative of y with respect to x.

Taking the derivative of y=sin(x), we get:

dy/dx = cos(x)

Substituting into the formula for ds, we get:

ds =√(1 + cos²(x)) dx

Now we can substitute y=sin(x) and ds into the formula for surface area and integrate from x=0 to x=π:

S = 2π \(\int\limits^\pi_0\) sin(x) √t(1 + cos²(x)) dx

This integral cannot be evaluated in terms of elementary functions, so we must use numerical methods to approximate the value. Using a numerical integration tool, we get:

S ≈ 9.87

Therefore, the surface area generated by revolving the curve y=sin(x) about the x-axis is approximately 9.87 square units.

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Answer:

hope it helps

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

K=40

Step-by-step explanation:

240/6=40 grams and egg

check 6x40=240

Answer:  K= 40

Step-by-step explanation: divide 240 by 6 :)

240/6=40

Answer:

-25

Step-by-step explanation:

The sum for this problem is an irrational number, as it involves the roots of 8 and of 27, which are non-exact roots.

Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.

Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.

For this problem, the sum is composed by non-exact roots such as the root of 8 and the root of 27, hence the sum is an irrational number.

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Answer:

270 words per 3 minutes

Step-by-step explanation:

180/2=90

So she can type 90 words per minute, meaning 3 times that is how many she can type in 3 minutes:

90*3=270

The center of the circle is (6,7) and the radius of the circle is 1.414 units

The diameter with endpoints = (5, 8) and (7, 6)

The mid point of the diameter = The center of the circle

The center of the circle = \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

Substitute the values in the equation

The center of the circle = ( (5+7)/2 , (6+8)/2 )

= (12/2 , 14/2)

= (6, 7)

The radius of the circle = The distance between (6, 7) and (7, 6)

The distance between two points = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The distance between (6, 7) and (7, 6) = \(\sqrt{(7-6)^2+(6-7)^2}\)

= \(\sqrt{1^2+(-1)^2}\)

= \(\sqrt{1+1}\)

= \(\sqrt{2}\)

= 1.414 units

Hence, the center of the circle is (6,7) and the radius of the circle is 1.414 units

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The graph intersect at x-1.714 and y = 2.571.

To graph the system of equations:

Plot the points for each equation:

The graph of the system will show two lines intersecting each other.

and, the graph intersect at x-1.714 and y = 2.571.

The graph of the equation is attached below.

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Answer:

D - none of the above is the correct answer

Answer:

The answer would be -9 and -3 which would be B and D

Step-by-step explanation:

The two digits differ by 3.

Let's assume that the original two-digit positive integer is represented as "10a + b," where 'a' represents the tens digit and 'b' represents the units digit.

According to the problem, when the digits are reversed, the resulting integer is "10b + a."

The difference between the original integer and the reversed integer is given as 27.

Mathematically, we can express this as:

(10a + b) - (10b + a) = 27.

Simplifying the equation, we get:

9a - 9b = 27,

9(a - b) = 27.

Dividing both sides by 9, we have:

a - b = 3.

Therefore, the difference between the two digits is 3.

To verify, let's consider an example.

If the original two-digit positive integer is 54, reversing the digits gives us 45.

The difference between 54 and 45 is indeed 27, and the difference between the two digits is 5 - 4 = 1, which confirms that the difference is 3.

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Answer:

He bought 12 apples and 10 bananas.

Step-by-step explanation:

He has E5.

He buts 12 apples then buys as many bananas.

bananas = 40p so 0.07*12 is E0.84

E5-E0.84= E4.16.

4.16=40p

p=10.4

So he bought 10 bananas.

Hope this helps plz hit the crown :D

Answer: 14 apples 10 banana

Step-by-step explanation:

Answer:

Hi The Answer is A.

Step-by-step explanation:

The Answer is A Because of the funter travel of the X.

x*y=z

Hope This Helps.

:)

My name is John henry.

Answer:

n = 28.8

Step-by-step explanation:

\(\frac{n}{18} =\frac{12}{7.5}\)

n × 7.5 = 18 × 12

7.5n = 216

7.5n ÷ 7.5 = 216 ÷ 7.5

n = 28.8

Answer:

8,201 divided by 59 = 139

Step-by-step explanation:

Hoped this helped.

Answer:

$1,350

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

⇒ Total interest earned = 1000 × 0.1 × 5 = $500

If you have to pay 30% income tax on the interest earned annually, then you will keep 70% of your earned interest.

⇒ 70% of $500 = 0.7 × $500 = $350

Account balance = principal + interest earned after tax

                             = $1,000 + $350

                             = $1,350