1.
Evaluate the following expression: 5/7 to the power of 2

When two negative numbers are joined together, the result is a positive number. −10−(−10) is not −20 but it's 20.

In mathematics, the opposite is represented as a negative number.

In the real number system, a negative number is one that is less than zero.

It is common to use negative numbers to describe how severe a loss or a shortage is.

The fact that the sum of two negatives is positive is related to the fact that the inverse of a positive number is that positive number back again.

When a negative number is subtracted from a negative number, a minus sign and a negative sign are merged to make a plus sign (-).

A negative number becomes a positive when two negatives are added together. −10−(−10) is not −20.

Instead, think about how one of the negative signs could be made to stand up so that it can cross over the other and become a plus.

10 + 10 = 0 would be the outcome.

Therefore, when two negative numbers are joined together, the result is a positive number. −10−(−10) is not −20 but it's 20.

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Therefore , the solution of the given problem of function comes out to be  f(x) = 3 at x =- 2 and f(x) = -5 at x = 12

The study of numbers, their variations, mathematics and the regional tissue, structures, and both their actual and imagined locations, is known as mathematics. A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single variable, recognized output for each input.

Here,

Given :  

f(x) = 8 at x = -6

To find the f(x) = -5 at what value of x

and f(x) = 3 at what value of x

So,

From the given y table of f(x)  we can observe that

=> f(x) = -5 at x = 12

and

=> f(x) = 3 at x =- 2.

Therefore , the solution of the given problem of function comes out to be  f(x) = 3 at x =- 2 and f(x) = -5 at x = 12.

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You can tell that an equation has one solution if you solve the equation and get a variable equal to a number, while an infinite solution equation has both two sides equal.

In one solution equation, there is exactly one value for the variable that will cause these equations to be true. If you solve an equation and the variable becomes equal to a number, then the equation has exactly one solution. A quadratic equation is considered as a one solution type of equation. Example:

x² - 16 = 0

x = √16

x = 4

Thus, the equation only have one solution.

The two sides of an infinite solution equation are equal. You may see this in the equation 6x + 2y - 8 = 12x + 4y - 16. Simplifying the equation using a method or formula for infinite solutions will result in equal values for both sides, making it a system with an infinite number of solutions.

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Answer: The missing side length is 14.4

Also could you mark my answer as brainliest? It helps and doesnt hurt you

Answer:

y-6x=0 or y = 6x

Step-by-step explanation:

To find the slope of the second line, we can use the formula:

[tex]m_{2}=\frac{-1}{m_{1} }[/tex], where m2 is the slope of the second line (unknown) and m1 is the slope of the first line (given/known)

Currently the line x + 6y = 6 is in standard form and we can convert it to slope-intercept form (y = mx + b) to find the slope:

[tex]x+6y=6\\6y=6-x\\y=\frac{6-x}{6}\\ y=1-1/6x[/tex]

Thus, the slope of first line (m1) is -1/6.

Now we can use this value to find the slope of the second line (m2):

[tex]m_{2}=-1/(-1/6)\\ m_{2}=6[/tex]

Since we found the slope, now we must find the y-intercept of the line by plugging in the slope and the point we're given:

[tex]-6=6(-1)+b\\-6=-6+b\\0=b[/tex]

Thus, the equation of the line in slope intercept form is y = 6x

To convert it to standard form like the first line, we simply subtract 6x to get

y-6x = 0

Answer: The product of (abc) is (-2/3)(1/3)(-1) = 2/9.

An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k.

Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next term is obtained by adding 13 to the preceding term in the series. To put it another way, a n = a 1 + d (n - 1) This is the arithmetic sequence's formula.

An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.

A sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence. The common difference of the sequence is d, and the number an is the first term. An = a + (n - 1)d gives the nth term of an arithmetic series.

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Answer:

Yes, 6(2b-4) when b is 5 is equal to 36. This can be calculated by substituting 5 for b in the equation and then solving for the value of 6(2b-4). This gives 6(10-4) which is equal to 36.

Step-by-step explanation:

Answer:

You are correct                

Step-by-step explanation:

6[2(5) -4]

6(10 - 4)

6(6)

36

Joanne doesn't have enough money to buy all the paint she needs?

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

The area based on the information will be:

= (12 + 10( × 9 / 2

= 144m²

The number of times required will be

= 144 / 3.

= 48

The cost of tin will be:

= 48 / 8 × 25

= 150

Since Joanne has £145 to spend on paint and the cost needed is £150, she doesn't have enough money.

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The markup percentage is 25% for the example shown below.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Assume Initial value = 40

Final value = 50

The markup value.

= 50 - 40

= 10

Now,

The percentage of the markup value.

= Markup value / Initial value x 100

= 10/40 x 100

= 25%

Thus,

The markup percentage is 25%.

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Out of all the options option A)(1,-2) satisfies the equation 3x -2y= 7.

A solution of an equation is a set of values for the variables that make the equation true.

In the case of a linear equation in two variables, such as ax + by = c, where a, b, and c are constants, the solution can be found by using techniques such as substitution, elimination, and graphing.

To find the solution of the equation 3x - 2y = 7, we need to find the values of x and y that make the equation true.

(1,-2): when we substitute the x = 1, y = -2 in equation 3x - 2y = 7, 3(1) - 2(-2) = 7, 3 - (-4) = 7, which is true so this pair is a solution.

(-2,1): when we substitute the x = -2, y = 1 in equation 3x - 2y = 7, 3(-2) - 2(1) = 7, -6 - 2 = 7, which is not true so this pair is not a solution.

(5,1): when we substitute the x = 5, y = 1 in equation 3x - 2y = 7, 3(5) - 2(1) = 7, 15 - 2 = 7, which is not true so this pair is not a solution.

(1,5): when we substitute the x = 1, y = 5 in equation 3x - 2y = 7, 3(1) - 2(5) = 7, 3 - 10 = 7, which is not true so this pair is not a solution.

As we can see the first option satisfies the situation.

So, the solution for the equation 3x - 2y = 7 is (1,-2).

Therefore, Out of all the options option A)(1,-2) satisfies the equation 3x -2y= 7.

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The corrected equation is 11 = x2 - x - 1.

An equation is a mathematical expression that states the equality of two things by showing the relationship between them. Equations are used to solve a variety of problems in science, engineering, and economics. In mathematics, an equation typically consists of an equal sign and two or more terms that are related by operations such as addition, subtraction, multiplication, and division.
The mistake in the equation is that the 12x should be multiplied by 3, not added, so the corrected equation is:

3(12x) = x 8(x - 1)
3(12x) = 8x(x - 1)
36x = 8x2 - 8x
28x = 8x2 - 8
-8x = 8x2 - 8
0 = 8x2 - 8x - 8
0 = 8x (x - 1) - 8
0 = 8 (x2 - x - 1)
11 = x2 - x - 1

The corrected equation is 11 = x2 - x - 1.

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The difference in the measures of the two angles is 90 - 84 = 6 °

Theorem of Complementary Angles states that two angles are complementary if the sum of their measures is equal to 90°.

This question can be solved using the theorem of complementary angles, which states that if two angles add up to 90°, then they are complementary angles.

1. Since <A is a right angle, m<A = 90°

2. To find the measure of angle B, solve the equation 9x - 24 = 90.

3. 9x = 114, so x = 12.5.

4. Therefore, m<B = 9x - 24 = 108 - 24 = 84.

5. The difference in the measures of the two angles is 90 - 84 = 6°

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Exponential expression → exponential function

9ˣ → y = 9ˣ

(3/4)ˣ → y = (3/4)ˣ

6ˣ → y = 6ˣ

bˣ → y = bˣ

An exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

Exponential expressions to exponential function

3⁵ : f(x)= 3⁵

(1/4)ˣ : y = (1/4)ˣ

By the above pattern

Exponential expressions to exponential function

9ˣ : y = 9ˣ

(3/4)ˣ : y = (3/4)ˣ

6ˣ : y = 6ˣ

bˣ : y = bˣ

Hence, y = 9ˣ, y = (3/4)ˣ, y = 6ˣ and y = bˣ are the functions for expression

9ˣ, (3/4)ˣ, 6ˣ and bˣ  respectively.

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The length of DH is 5.43 inches.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

(XP)² + (YP)² = x² + y²

This equation states that the sum of the squares of the lengths of the segments formed by the secants is equal to the sum of the squares of the lengths of the secants.

(b) In this case, it is possible to find the length of DH. We can use the information given to set up the following equation:

(DH)² + (CH)² = (CG)²+ (GE)²

Substituting the given values, we get:

(DH)² + (2)² = (3)² + (5)²

(DH)²+4=9+25

(DH)²=30

DH=5.43

Hence, the length of DH is 5.43 inches.

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Yes, zero is a real number, as zero is a rational number, and any rational number is a real number. In particular, the real numbers set is the union of a set of rational numbers with a set of irrational numbers.

Zero is an even number, but it is neither a prime nor a composite number. Zero is neither positive nor negative, but it connects the gap between them. Zero factorial is 1 (0! = 1). Zero is real, rational, and an integer number, but it is not a natural number. Division by zero is undefined.

Zero is an important number because it is an additive identity factor for integers, rational numbers, and real numbers.  That is, y + 0 = y = 0 + y for any real number y.

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The domain and range is ,Range: |x+3|0y|[-2,+] Domain: xR .  

Explanation:

x=R Range: y=(0,+) Domain: y=2

y=x²-4

Range: y'=(x2-4)'=2x x=0,y(0)=02-4=-4 y(-4,+)

y=x²+4x+3

Domain: xR Range: (x2+4x+3)

'=2x+4 ⇒ x=-2,y(-2)=(-2) (-2)

²+4(-2)

+3=4-8+3=-1 \sy∈(-1,+∞)

Domain: x-20x2 x[2,+) Range: y[0,+)

Domain: 4 x 2 0 x 2 4 x 2 2 [-2, +2]

x24y[0,2] range

y=|x+3|-2

Range: |x+3|0y|[-2,+] Domain: xR        

The complete question is,

Determine the graphs' scope and range: y=2x y=x2-4

y=x^2+4x+3

y=sqrt(x-2)

y=sqrt(4-x^2)

y=|x+3|-2 ...?

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The domain and range is ,Range: |x+3|0y|[-2,+] Domain: xR .  

What are the steps to finding an equation's domain and range, We can easily identify the values of the independent variable x and the domain by solving the equation y = f(x). The range may then be found by solving for x. Expressing x as x=g(y) and then determining the domain of g allows us to determine the function's range (y).

The collection of values that can be plugged into a function's domain are called its parameters. The x values for a function like f are contained in this collection (x). The collection of numbers that the function assumes is known as its range.

x=R Range: y=(0,+) Domain: y=2

y=x²-4

Range: y'=(x2-4)'=2x x=0,y(0)=02-4=-4 y(-4,+)

y=x²+4x+3

Domain: xR Range: (x2+4x+3)

'=2x+4 ⇒ x=-2,y(-2)=(-2) (-2)

²+4(-2)

+3=4-8+3=-1 \sy∈(-1,+∞)

Domain: x-20x2 x[2,+) Range: y[0,+)

Domain: 4 x 2 0 x 2 4 x 2 2 [-2, +2]

x24y[0,2] range

y=|x+3|-2

Range: |x+3|0y|[-2,+] Domain: xR        

The complete question is,

Determine the graphs' scope and range: y=2x y=x2-4

y=x^2+4x+3

y=sqrt(x-2)

y=sqrt(4-x^2)

y=|x+3|-2 ...?

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Answer: I dont think so

After solving, the factored form of [tex]X^3-8[/tex] is [tex](X-2)(X^2+2X+4)[/tex].

In the given question, we have to find the factored form of [tex]X^3-8[/tex].

The following is how we factor the GCF out of a polynomial:

(1) Determine the polynomial's GCF for each term.

(2) Present each term as the GCF and another factor's product.

(3) To factor out the GCF, use the distributive property.

To solve this expression we use the formula [tex](a^3-b^3)=(a-b)(a^2+ab+b^2)[/tex]

We can write given expression as

[tex]X^3-8=(X)^3-(2)^3[/tex]

[tex]X^3-8 = (X-2)((X)^2+2X+(2)^2)[/tex]

[tex]X^3-8 = (X-2)(X^2+2X+4)[/tex]

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The compete question is:

What is the factored form of [tex]X^3-8[/tex].

k = 4/3 is the value of k if one of the zeros of the quadratic polynomial (k-1)x² + kx + 1.

The equation of the second degree is a quadratic equation. This indicates that it contains a phrase that is squared, at least once. ax² + bx + c = 0, which uses constants or numerical coefficients for the variables a, b, and c, is one of the classic formulae for solving quadratic equations. Unknown variable 'x' is used here. For an equation to have equal roots the value of the discriminant is 0. The discriminant of a quadratic equation ax² + bx + c = 0 is given by the formula.

one of the zeroes of the quadratic polynomial (k - 1)x² + kx + 1 is -3.​

Let say P(x) = (k-1)x² + kx + 1; -3 is one of the zero

=> P(-3) = 0

=> (k - 1)(-3)² + k(-3) + 1  = 0

=> 9k - 9 - 3k + 1 = 0

=> 6k = 8

=> k = 8/6

=> k = 4/3

Value of k is 4/3

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The complete question is as follows:

Find the value of k if one of the zeroes of the quadratic polynomial

(k-1)x² + kx + 1 is -3

Answer: (4, 3)

Step-by-step explanation: Keep the x value same, and negate the y value.

The inverse of 1 is 1. If we convert 1 into a fraction number we will get 1/1 then the reciprocal of 1/1 is again 1/1 which is equal to 1.

The inverse of a number is it's reciprocal. Consider a number y where y is not equal to zero. Then the inverse of y is the reciprocal of the y that is 1/y.

The inverse is a function or an operation which reverses the order of operation of another function or an operation”.

For example, Calculate the inverse of a number 7, 17, 37 and 47.

To find out the inverse of a number, we have to take the reciprocal of the given numbers.

So, the inverse of the number 7 will be 1/7.

The inverse of the number 17 will be 1/17.

The inverse of the number 37 will be 1/37.

The inverse of the number 47 will be 1/47.

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The object's mass of an object is related to both its kinetic energy and its
potential energy.

Mass is the measure of an object's amount of matter or the quantity of atoms and molecules in it. It is measured in kilograms, grams, and other metric units. Mass is different from weight, which is the measure of the pull of gravity on an object. Mass is the same everywhere, regardless of gravity. In other words, an object's mass will remain the same whether it is on earth, the moon, or any other place in the universe.

The object's mass. Kinetic energy is the energy an object has due to its motion and is proportional to its mass and velocity. Potential energy is the energy an object has due to its position, and is proportional to its mass and height. Therefore, the object's mass is related to both its kinetic energy and its potential energy.

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Answer:

A

Step-by-step explanation:

- 11/8 + (-11/4) = - 11/8 - 11/4 the answer will be negative

-11/8 - (-11/4) = -11/8 + 11/4 the answer will be positive because 11/4 is greater than 11/8

-11/8 × -11/4 = +.. the answer wil be positive... - × - = +

To find how fast the unknown rate at which water is filling a spherical balloon only given surface area by using Related rates.

Here are some steps to find out how fast the water is filling :

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Answer:

You have to count it by using calculator.

Th equation of the line passing through (4,0) and have slope -2/3 is 2x + 3y = 8.

The slope of the line is given to be negative 2/3 and it is passing through the point (4,0).

The equation of any line that is passing through the point A(a,b) and has a slope m is given by,

y - b = m(x - a)

So, putting values in the above equation to find the equation of the line for the given condition. We get,

y - 0 = -2/3(x-4)

y = -2x/3 + 8/3

Multiplying by 3,

3y = -2x+8

2x + 3y = 8

So, the above equation is the required equation of the line.

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Complete question - what is the equation of the line in point slope form that has a slope of negative 2/3 and passes the point of (4, 0).

Answer:

2

Step-by-step explanation:

3(7x+14)=84

21x+42=84

21x=84-42

21x=42

x=42/21

x=2

Therefore , the solution of the given problem of volume comes out to be

1320 cm³ is the given volume of figure.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. The cubic units cm3 and in3 are two examples. Contrarily, mass is a measure of the amount matter is in an object. It is usual practice to convert an object's weight into mass units like kilograms or kilograms.

Here,

Given :

The figure given volume is :

=> top prism: 5/12/10=600

=> lower prism: 15 12 15 (10 15) = 720

Mixing the two volumes

=> 720 + 600 = 1320 cm³

Therefore , the solution of the given problem of volume comes out to be

1320 cm³ is the given volume of figure.

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Answer:1134 trust me

Step-by-step explanation:

Answer: -1.7x + 9

Step-by-step explanation:

-4.2x + 3 + 2.5x + 6 = -1.7x + 9