Which values of x satisfy the inequality 0.5x-0.75>23.257
O X25
O x≤5
O x≤8
X28

Answer:

C. 1,315.06

Step-by-step explanation:

................

Step-by-step explanation:

54

is the correct answer

Answer:

54

Step-by-step explanation:

multiply the exponents

The solution to the equation -2(x + 3) = -6 is x = 0.

To simplify the expression 5t + 7 + 8b, we can combine like terms.

There are two like terms in the expression: 5t and 8b.

Combining the like terms gives us:

5t + 8b + 7

Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.

Regarding the equation -2(x + 3) = -6:

To solve this equation, we can follow these steps:

Distribute the -2 to the terms inside the parentheses:

-2 * x + (-2) * 3 = -6

This simplifies to:

-2x - 6 = -6

Move the constant term to the right side by adding 6 to both sides of the equation:

-2x = 0

Divide both sides of the equation by -2 to isolate the variable x:

x = 0 / -2

Simplifying the right side of the equation gives us:

x = 0

The solution to the equation -2(x + 3) = -6 is x = 0.

The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.

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Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

The given system of equations has no solution.

Given that a system of equations, 12x + 36y = −3 and −12x − 36y = 0, we need to solve it,

We know for a system of equations =

a₁x + b₁y = c₁ and a₂x + b₂y = c₂

If a₁ / a₂ = b₁ / b₂ = c₁ / c₂ then the system has infinite solutions.

If a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂ then the system has no solutions.

If a₁ / a₂ ≠ b₁ / b₂ then the system has a unique solution.

comparing the coefficients given,

-12/12 = -1

-36/36 = -1

-3/0 = -3

We get here the condition of a₁ / a₂ ≠ b₁ / b₂, which means that the system has no solution.

Hence the given system of equations has no solution.

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To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Answer:

7.56  x 10^3

Step-by-step explanation:

Hope this helps :)

Step-by-step explanation:

the slope-intercept form is

y = ax + b

with "a" being the slope, and "b" being the y-intercept (the y- value when x = 0).

so, we have

y = x - 8

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The area of the triangle, Rounded to the nearest hundredth, is approximately 132.02 cm².

The area of a triangle with the given measurements, we can use the formula for the area of a triangle using side lengths and an included angle. The formula is:

Area = (1/2) * a * c * sin(B)

where a and c are the side lengths, B is the included angle between those sides, and sin(B) represents the sine of angle B.

Let's calculate the area using the given measurements:

B = 103° (included angle)

a = 12 cm

c = 22 cm

First, we need to convert the angle from degrees to radians, as the sine function operates on radians. We can use the conversion: radians = degrees * (π/180).

B in radians = 103° * (π/180) ≈ 1.8 radians

Next, we can substitute the values into the formula:

Area = (1/2) * a * c * sin(B)

     = (1/2) * 12 cm * 22 cm * sin(1.8 radians)

Using a calculator, we can evaluate sin(1.8 radians) ≈ 0.9833.

Area ≈ (1/2) * 12 cm * 22 cm * 0.9833

       ≈ 132.02 cm² (rounded to the nearest hundredth)

Therefore, the area of the triangle, rounded to the nearest hundredth, is approximately 132.02 cm².

Among the given options, the closest match is:

b) 132 cm² (rounded to the nearest whole number)

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Answer:

10:65 = 4:26

Step-by-step explanation:

I hope this helps!

Complete Question

The picture of the stem plot National  and American League is shown on the first uploaded image

Answer:

The value is \(\= x  = 50.14\)

Step-by-step explanation:

From the question we are told that

The stem plot for National League is

            \(2\ \ \ \ \ 9\\3\ \ \ \ \ 1 \\4\ \ \ \ \ 2\ 6\ 7\ 8\ 8\\5 \ \ \ \ \ 3\ 5\ 5\ 5\\6 \ \ \ \ \ 3\ 3\ 7\\7\)

The  sample size is  n =  14

Generally the stem plot is interpreted in this manner

   The numbers on the first column represents the tens of a two digit number while the second column holds the possible unit number the tens in the first column can be combined with

  for example 4th row

 5           3 5 5 5

is equivalent to

53 55 55 55

Generally the mean for the national league is mathematically represented as

           \(\= x = \frac{29 + 31 + \cdots + 67}{14}\)

=>         \(\= x  = \frac{702}{14}\)

=>         \(\= x  = 50.14\)

Answer:

7/9

Step-by-step explanation:

you choose 7 colors out of 9 colors

Answer:

Slope is 5/8.

y-intercept is (0, 5/2)

Step-by-step explanation:

Answer:

this is what u need to do

Step-by-step explanation:

first you need to put it into this

\(y=mx+b\)

so this is what is next

\(y=-8(5x)-20\)

\(y=5x+12\)

Answer:

p: x = 4  

q: y = -2

If p happens then q will also happen

Step-by-step explanation:

Given two propositions, we want to rearrange them in a conditional statement.

The correct answer is:

p → q

First, a conditional statement is something of the form:

If [Hypothesis] then [Conclusion]

So, if the first part is true, then the second part must be true.

Now, here we have two propositions:

p: "x  = 4"

q: "y = -2"

We want to write:

"if x = 4, then y = -2"

this is just written as: "p implies q" or:

p → q

Where "→" means "then", and the initial "if" is tacit.

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Answer:

Step-by-step explanation:

5h + 3h + 4h = R288

12h = R288

h = R24

Josh, 5 hours at R24/hour = R120

Katleho, 3 hours at R24/hour = R72

Pevashnee, 4 hours at R24/hour = R96

Check your work: 120 + 72 + 96 = 288

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

There is insufficient evidence to say that the population proportion has decreased from 28%.

"Information available from the question"

In the question:

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

What are the null and alternative hypotheses?

Now, According to the question;

Let's know:

Significance Level:

The significance level is the area of the rejection region in the hypothesis test. The larger the significance level, the easier is to reject the null hypothesis. The most common significance level used is 5% but in cases where high precision is required significance level is reduced.

\(H_0\) : p \(\geq\) 0.28

\(H_\alpha\) : p < 0.28

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

So,

The sample proportion:

p(cap) = x/ n

          = 291/1122

         =  0.2594

Test Statistics:

z = \(\frac{p_c_a_p - p }{\sqrt{p\frac{(1-p)}{n} } }\)

z = \(\frac{0.2594 - 0.28}{\sqrt{0.28\frac{(1-0.28)}{1122} } }\)

z = -0.0206/0.0003396

z = -0.2591

Decision rule:

Reject the null if,

p- value \(\leq\) \(\alpha\)

We can use a z-distribution table, an online tool, or the following excel command to calculate the p-value using excel.

p - value = P(z <  -0.2591)

              = 0.79635

p - value ≈ 0.79635 > \(\alpha\) = 0.01

Fail to reject the null.

Conclusion:

There is insufficient evidence to say that the population proportion has decreased from 28%.

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Answer:megan thee stallion

Step-by-step explanation:

mehgan

Answer:

4. x=2, y=-5

5. x=3, y=4

Step-by-step explanation:

The differentiable function f with the given properties is \(f(x)=4x^3-3x^2+10\).

What is a differentiable function:

A function with a differentiable value of one real variable is one whose domain contains a derivative. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.

The given properties for the differentiable function f are:

\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)

From (i) we can get \(f''(x)=2ax+b\)

By substituting (ii) in (i) we will get:

a+b=6 and 2a+b=18. By solving these two equations we will get the following:

a=12, b=-6.

We will integrate (i) on both sides, we will get:

\(f(x)=\frac{ax^3}{3} +\frac{bx^2}{2} +c\) where c is the integration constant.

In this equation, we will substitute a,b.

\(f(x)=\frac{12x^3}{3} +\frac{-6x^2}{2} +c\\ \\ f(x)= 4x^3-3x^2+c\)...................(iv)

Now we will substitute (iv) in (iii), and we will get:

\(\int\limits^2_1 {( 4x^3-3x^2+c)} \, dx =18\\ \\ (2^4-2^3+2c)-(1^4-1^3+c)=18\\ \\c=10\)

Therefore \(f(x)=4x^3-3x^2+10\).

Complete question:

Let f be a differentiable function, defined for all real numbers x, with the following properties. Find f(x). Show your work.

\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)

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Answer:

33

Step-by-step explanation:

35 take away 1 is 34 take away one more its 33

The number of blue M&M's produced at this factory in 1 day is 27,375,000.

What is multiplying

Multiplication is an arithmetic operation that involves combining two or more numbers to find their product. The numbers being multiplied are called factors, and the result of the operation is called the product.

The multiplication operation is denoted by the symbol "x" or "*", or sometimes by parentheses, such as (a)(b) or ab.

According to the question:
If 1/4 of the M&M's produced by the factory are blue, we can find the number of blue M&M's by multiplying the total number of M&M's produced by 1/4:

Number of blue M&M's = (1/4) x 109,500,000

To simplify this calculation, we can divide 109,500,000 by 4 first, and then multiply by 1:

Number of blue M&M's = (109,500,000 / 4) x 1

Number of blue M&M's = 27,375,000

Therefore, the number of blue M&M's produced at this factory in 1 day is 27,375,000.

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Answer:

4.13=4.130

If there is a 0 at the end of a decimal then you can drop it.

The statement that correctly compares two numbers is 4.13 = 4.130. The correct option is A.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

From the given options the correct expression which represents equality will be 4.13 = 4.130. The value of both the numbers is the same. There is not any significance of 0 at the end of the expression.

Therefore, the statement that correctly compares two numbers is 4.13 = 4.130. The correct option is A.

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