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The solution to the inequality b - 2.7 ≥ 5.24 is; A) b≥ 7.94

In mathematics, a relationship that exists between two expressions or values that are not equal to each other is called 'inequality. ' Thus, a lack of balance results in inequality.

We are given the inequality expression;

b - 2.7 ≥ 5.24.

Let us use addition property of equality to add 2.7 to both sides to get;

b - 2.7 + 2.7 ≥ 5.24 + 2.7

b  ≥ 7.94

Thus, we conclude that the solution to the inequality is that b is greater than or equal to 7.94

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Answer:

-3

Step-by-step explanation:

Answer:

-3

Have fun!!

Step-by-step explanation:

Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

Define measurement?

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Answer:

c.

Step-by-step explanation:

The solution is Option C.

Sample space is  set A = { blue , blue } , { blue , green } , { blue , red }

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the sample space be represented as set A

Now , the equation will be

The number of blue cars = 2 blue cars

The number of green cars = 1 green car

The number of red cars = 1 red car

So , the total number of cars = 2 + 1 + 1 = 4 cars

Now , Andy removes 2 race cars from the toy box without looking

Let the first removed car be a blue car

So , the second car can have any value including a blue , green or white

And , the sample space is given by set A

Set A = { blue , blue } , { blue , green } , { blue , red }

Hence , the set is { blue , blue } , { blue , green } , { blue , red }

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Darren needs approximately 49 feet of tape.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

P = 2(L + W)

P = 2(10 + 8)

P = 2(18)

P = 36 feet.

In Mathematics and Geometry, the perimeter of a semicircle can be calculated by using this mathematical equation:

P = 2(π × radius)

P = 2(3.14 × 8/4)

P = 2(6.28)

P = 12.56 feet.

Approximate length of tape = 12.56 feet + 36 feet

Approximate length of tape = 48.56 ≈ 49 feet.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Its the second one

Step-by-step explanation:

I used slope to solve it

Answer:

If I were to be honest I think you did it perfectly

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

Answer:

3 • 74509

I this is right

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

We can see that the choice falls within the range of (A) less than 1 hour. Therefore, the answer is (A), Kristen spends less than 1 hour .

Finding the value of a single unit using the unitary technique allows us to determine the value of the necessary number of units based on this value.

To find out approximately how much time Kristen spent gardening each day, we can divide the total time she spent gardening by the number of days she gardened.

Total time = 4 hours

Number of days = 7

So, Kristen spent approximately 4/7 = 0.57 hours or about 34 minutes each day gardening.

Since the answer choices are in ranges, we can see that this falls within the range of (A) less than 1 hour. Therefore, the answer is (A).

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Using the given coordinates we know that the area of the surface on which a student paints is 144 in².

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane.

The x-axis (horizontal) and y-axis are the two axes that make up a coordinate plane (vertical).

A square's area can be calculated using:

A = L²

We only need to determine the length of one side because a square's sides are all the same length.

The distance between the two vertices in this square, which serves as the side length, may be calculated as:

L = √[(x₂ - x₁)² + (y₂ - y₁)²]

But, since it is a square, we can use coordinate subtraction to obtain the side length, which is obtained by utilizing the first three coordinates:

Horizontal length = (6 + 6) = 12

Then;

Area = L² = 12² = 144 in²

Therefore, using the given coordinates we know that the area of the surface on which a student paints is 144 in².

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A coefficient is a numerical value that is multiplied with a variable.

The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.

An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.

Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,

Sum = ( n - 2 ) 180°

Sum = ( 9 - 2 ) 180

Sum = 7 x 180

Sum = 1260°

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The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

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The figure is in image.

Answer: C

Step-by-step explanation:

First you have to find the cost of the 17 candy bars, each costing 79 cents and the 21 candy bars, each costing 65 cents. To do this you multiply the candy bars with the amount of cents each cost.

17 × 0.79 = $13.43

21 × 0.65 = $13.65

Now that you have the amount the 17 and the 21 candy bars cost you subtract them.

13.43 - 13.65 = $0.22 or 22 cents

Answer:

We don´t have at 95% of confidence, evidence to reject the publisher´s claim

Step-by-step explanation:

Population mean      p₀ = 58 %    or    p₀ = 0,58  

Hypothesis Test:

Null Hypothesis                  H₀           p  =  p₀

Alternative Hypothesis      Hₐ           p  <  p₀

For a significance level α = 0,05  means that CI = 95 % or  CI = 0,95

z(c) = - 1,64

MOE = z(c)* √(p*q)/n

p  -  p₀  / √(p*q)/n  = z(s)

And  that  z(s) is in the acceptance region

|z(s)| < |z(c)|

|z(s)| < 1,64

Then if that so we fail to reject H₀ . We don´t have evidence to reject the publisher´s claim

Answer:

y = 32

Step-by-step explanation:

y/8 = 4

multiply both sides by 8:

y = 4 x 8 = 32

Answer:$ 24,679.20 or 514.15 a month

Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20

Answer:

x = 6, y = -2, z = 0

Step-by-step explanation:

To find x, we have to plug 0 into f(x). Therefore, x = f(0) = 2 * 0² - 8 * 0 + 6 = 6. Similarly, to find y, we have to plug 2 into f(x) so y = f(2) = 2 * 2² - 8 * 2 + 6 = -2. Finally, z = f(3) = 2 * 3² - 8 * 3 + 6 = 0.

Answer:

6, -2, 0

Step-by-step explanation:

Answer: When simplified, -x − x is:

-2x

When you subtract x from -x, you are essentially adding the opposite of x to -x, which is -x.

-x + (-x) = -x + -x = -2x

-x and x have opposite signs so when you add them up, the signs cancel out and you are left with the coefficient -2 in front of the x.

Step-by-step explanation:

It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer: $385.50

Step-by-step explanation: 25,700x1.5% = 385.50

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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