The list shows numbers in order from least to greatest. Negative 15, negative 3 and four-fifths, negative 1.5, blank, 2.3, 5 and two-thirds Which is an integer that can be inserted on the blank line in the list? A. –2 B. Negative 1 and one-third C. 0 D. 1.2

Answer:

27 and 23

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

99- (-17)= 99+17

Answer:

The difference is 116 degrees

Step-by-step explanation:

99-(-17)

when two minus signs are next to each other, they become a plus.

99+17

116

Answer:

d-4.12=12.8

+4.12=+4.12

d=16.20

Step-by-step explanation:

The single transformation that maps shape A to shape B is: Reflection about the line x = -2

There are different ways of carrying out transformation of objects and they are:

Reflection whereby  all the points of an object are reflected or flipped on a line called the axis of reflection or line of reflection

Rotation whereby all points are rotated about a point.

Dilation where the object is reduced or increased by a scale factor.

Translation where the object is moved from one point to another.

Looking at the given image, we can tell that this denotes a reflection because it is the exact same shape and looks like a mirror image which was reflected over the line x = -2

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The correct answer to 100 kg is 220.462 pounds which was calculated by unitary method and the error was that student calculated the approximate value.

Student said that 100 kg is approximately equal to 45.36 pounds.

Student have not calculated the real value and given the approximate value.

1kg= 2.205 pounds

so according to it

100kg = 100 x 2.205 pounds

           = 220.462 pounds

For calculating the approximate value student used a formula to multiply the mass value by 2.205 pounds that's why the error occurred in the calculation done by him.

Thus 100kg weights 220.462 pound which is the actual result .

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Answer:

30

percenr

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

1500/50=30

The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

On each roll of a 6-sided die, we have 6 possible outcomes.

Then if we roll it twice, we will have 36 outcomes.

The outcomes where the sum is 4 are:

roll 1     roll 2    sum

1             3           4

3            1            4

2           2           4

Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:

P = 3/36

P = 1/12

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The area for the shaded region is obtained as 2 units.

In order to find the area, first find the intersection points of the two curves. Then, the area of the region can be found by taking the integration from the intersection point.

The curves in the graph in the form of equation are as follows,

y = x² + 3                     (1)

x = (y - 5)² - 2

=> y = √(x+ 2) + 5       (2)  

Part A :

The intersection points of the two curves are (-1.5, 5.5), (-1, 4) and (0.5, 3.5).

Thus, to calculate the area the limit is from x = -1.5 to x = 0.5.

Part B :

The expression of the integral is given as,

\(\int\limits^{-1}_{-1.5} {(x^{2} + 3 ) - (5 + \sqrt{x + 2} )} \, dx + \int\limits^{0.5}_{-1} {(5 + \sqrt{x + 2} ) -(x^{2} + 3 ) } \, dx\)

Part C :

The area is found by evaluating the integral as follows,

\(\int\limits^{-1}_{-1.5} {(x^{2} + 3 ) - (5 + \sqrt{x + 2} )} \, dx + \int\limits^{0.5}_{-1} {(5 + \sqrt{x + 2} ) -(x^{2} + 3 ) } \, dx\)

= [-1/3 + 3.375/3 + 3(-1 - (-1.5))] - [5(-1 - (-1.5)) + 2/3(\(1^{3/2} - 0.5^{3/2}\))] + [5(0.5 - (-1)) -(0.125/3 + 1/3 + 3(0.5 - (-1))]

= 2.291 - [2.5 + 2/3 × 0.647] + [5 × 1.5 - 4.8716]

= 2.291 - 2.927 + 2.6284

= 1.9924

Which is approximately 2.

Hence, the area between the curves is given as 2 units.

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The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

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Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer:

18x^4 y^9 + 6x^6 y + 42x^2 y^4

Step-by-step explanation:

Answer: that four of them are stupid

Step-by-step explanation:

Answer:

25% :D

Step-by-step explanation:

The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

ANSWER

EXPLANATION

We want to find the interval on the domain of the function where:

The graph of a function is less than or equal to 0 when the graph lies on and below the x-axis (horizontal axis).

From the given graph, we see that between x = 3 and x = 11, the graph of the function is on and below the x-axis.

Hence, the interval for the given condition is:

That is the answer.

c) point: (-2, 4) slope: -5

Answer:

c) point: (-2, 4) slope: -5

Step-by-step explanation:

1. The point-slope form of a linear equation is written as: \(y-y_1=m(x-x_1)\), where \(y_1=\) y-coordinate of point one, m = slope, and \(x_1=\) x-coordinate of point one.

2. The x-coordinate should be -2, and the y-coordinate should 4. That makes the point (-2,4). M, the slope, is -5.

d + (-7)

i don't know if this is what you mean

Answer: aₙ = -11 + 7(n - 1)

Step-by-step explanation: The equation of an arithmetic sequence is

aₙ = a₁ + d(n - 1).

a₁ is the first term.

d is the common difference.

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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Answer:

x<-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-5/2<-5

divide x-5 by 2

1/2x-2.5<-5

factor out the -2.5 by adding it to both sides

1/2x< -2.5

divide both sides by 1/2

x=-1.25

Answer:

answer is 60

4×5×6/2.......

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

False

Step-by-step explanation: