Simplify negative 2 and 3 over 5 minus 6 and 2 over 7.

The required solution would be 46 for a given problem (1).

The required solution would be 1 for a given problem (2).

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that A * B= A·B + 1 and A □ B = A + B/2,

⇒ 3 *[(7 □ 3) □ (3*4)].

⇒ 3 *[(7 + 3/2) □ (3·4 + 1)].

⇒ 3 *[(17/2) □ (13)].

⇒ 3 *[17/2 + 13/2].

⇒ 3 *[30/2].

⇒ 3 * 15.

⇒ 3·15 + 1

⇒ 46

We have been given that * represents an operation defined by a*b= a^b +b,

find (1*2)*3.

⇒  a∗b = aᵇ + b

∴ (1 ∗ 2) ∗ 3 = (1²) ∗ 2 =  (1) ∗ 2 = (1)³ = 1

Therefore, the required solution would be 46 for a given problem (1) and

the required solution would be 1 for a given problem (2).

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Answer:

  C. the set of all positive integers

Step-by-step explanation:

You want to know the appropriate domain of the function f(x) where x is months after a plant was planted, and f(x) is the height of the plant.

The domain of a function is the set of values of the independent variable for which the function is defined. In this case, the independent variable is x, the number of months after the plant was planted. Months are counted using the natural numbers, the set of all positive integers.

The appropriate domain is the set of all positive integers.

__

Additional comment

As a practical matter, the domain will have an upper limit, so will not actually be all positive integers.

The range of function values is likely the set of positive real numbers, though it might be integers if the measurements are recorded as integer values (mm or cm or in, for example).

The rocket will take a time of approximately 2.686 seconds to hit the ground.

The height of the rocket (h), in feet, is modelled by a quadratic equation, which is used to model free fall motion, that is, the motion of an object solely due to action of gravity. In this problem we must look for the time when the rocket hits the ground:

- 16 · t² + 40 · t + 8 = 0

(t - 2.686) · (t + 0.186) = 0

Only the first root offers a realistic solution, for time is a non-negative variable. The rocket will take a time of approximately 2.686 seconds to hit the ground.

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Answer: y=1

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(1-1)/(0-8)

m=0/(-8)

m=0

y=mx+b

1=0(0)+b

b=1

y=0x+1

y=1

Answer:

3

Step-by-step explanation:

input -3 into h(x)=x^2-6

h(-3)=-3^2-6=9-6=3

Answer:

11. 6

13. 73

15. 588

17. 139

19. 18

21. 18

23. 8

Step-by-step explanation:

To solve these equations, you simplify each expression. You also use the order of operations.

To solve this problem one must be aware of the concepts of standard deviation and variance of raw data.

There is a direct formulae to calculate the variance of the data,

Variance = [tex]σ^{2} =\frac{Sigma(xi-m)^{2}}{n}[/tex]

Now here we need to verify ∑x and ∑[tex]x^{2}[/tex].

∑x = 21+19+15+32+27

     = 114

and ∑[tex]x^{2}[/tex] = [tex]21^{2} +19^{2} +15^{2} +32^{2} +27^{2}[/tex]

             = 441+361+225+1024+729

             = 2780

So, the given relation is true.

Now the variance of the given data by putting the values in the formulae is  equal to 45.2.

And Standard deviation=[tex]\sqrt{Variance}[/tex]

                                     = [tex]\sqrt{45.2}[/tex]

                                      = 6.72

And for population α²=36.16 and deviation=6.01.

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Answer:

i think the question might be wrong.

In the sequence, Q is greater by 115.

From the information, P=5+7+9+11+...+101 and Q=9+11+13+15+...+103.

It should be noted that by looking at the figures the greater value will be Q as it began with a higher number.

The difference will be:

= 5 + 7 + 103

= 115

Therefore, in the sequence, Q is greater by 115.

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Answer:

x + 8 = 53

Step-by-step explanation:

x + 8 = 53

8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.

to solve isolate x by subtracting 8 from both side so:

x = 53-8

x = 45

Answer as a fraction:  x = 1/2

Answer in decimal form:  x = 0.5

Work Shown:

4x+9 = 11

4x = 11-9

4x = 2

x = 2/4

x = 1/2

x = 0.5

Explanation: I subtracted 9 from both sides (step 2). Then I divided both sides by 4 to fully isolate x (step 4)

Answer:

  y = -3

Step-by-step explanation:

You want the solution to the absolute value equation | y-4 | = | y+10 |.

The absolute value function ...

  f(x) = | x |

is piece-wise defined as ...

  [tex]f(x)=\begin{cases}-x&\text{for }x < 0\\x&\text{for }x\ge 0\end{cases}[/tex]

That is, the function is defined differently for argument values less than 0.

The above observation regarding the absolute value function means the nature of the given equation changes where the absolute value arguments are zero. Those values are ...

  y -4 = 0   ⇒   y = 4

  y +10 = 0   ⇒   y = -10

In other words, the points y = -10 and y = 4 divide the domain of the equation into three parts. The behavior will be different in each of those parts.

To solve the equation, we must examine each region of the domain for possible solutions.

When y < -10, both of the absolute value functions change the sign of their argument. Then the equation is ...

  -(y -4) = -(y +10)

Adding y to both sides of this equation gives ...

  4 = -10 . . . . . false

This means there is no solution to the equation in the region y < -10.

When -10 ≤ y < 4, the absolute value function |y -4| changes the sign of its argument, but the other function does not. In this region, the equation becomes ...

  -(y -4) = (y +10)

  -6 = 2y . . . . . . . . . add y-10 to both sides

  -3 = y . . . . . . . . divide by 2. This value is in the region -10 ≤ y < 4.

The solution to the equation is y = -3.

When 4 ≤ y, neither absolute value function changes the sign of its argument. In this region the equation becomes ...

  y -4 = y +10

Subtracting y from both sides of this equation gives ...

  -4 = 10 . . . . . false

This means there is no solution to the equation in the region 4 ≤ y.

__

Additional comment

The first attached graph shows the given equation rewritten as two functions. The solution is where those functions have equal values: the point(s) where the graphs intersect.

We often find it more convenient to rewrite equations like this to the form f(x) = 0. Here, that might mean we define ...

  f(x) = |y -4| -|y +10|

Then the solution is found on the graph at the x-intercepts. The graph in the second attachment shows this solution, and clearly shows the changes in behavior at x = -10 and x = 4.

The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

The coordinates are given as:

M = 2

J = 18

The ratio is given as:

Ratio = 3 : 1

The location of the point X is then calculated as:

X = Ratio * (J - M)

This gives

X = 3/(3 + 1) * (18 - 2)

Evaluate

X = 3/4* 16

This gives

X = 12

Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

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Step-by-step explanation:

show how to work out the question

Correct choice is B.) 45°

The solution is in attachment ! do check it

Step-by-step explanation:

6.25 points

Find the GCF for the list.

10m4, 40m⁹

10m5

40m4

10m4

6.25 points

hey

list

Answer:

Step-by-step explanation:

Joint variation equation:

Find the value of k by plugging in the given values:

The equation is:

Answer:

The school should buy 39 packages.

Step-by-step explanation:

3198 notebooks

82 notebooks = 1 package

3198÷82 = 39

(Eg: you have 4 notebooks and there are 2 in each package. How many packages are there?  4÷2 = 2   So 2 packages)

Answer:

=

15/4

(Decimal: 3.75)

Step-by-step explanation:

Answer:

I'm assuming that is 2x squared, and not 2 multiplied by 2, as a given question usually wouldn't come in such a silly format. I do wish people would start using (2x^2) or (2x²), though.Just substitute the value of x (-3) in to the equation to find the value of y, or P(x).2(-3)² + 7(-3) - 1 = -4

Step-by-step explanation:

Answer:

You can flip the second fraction and multiply the fractions so 3/5 * 15/3 = 3

Step-by-step explanation:

The 8 in Carla's number is 100 times the 8 in Travis' number.

Here you need to understand the concept of place value. For any number, each digit is always a order of magnitude of 10 larger than the digit in the left.

For example, in 88

The first 8 is 10 times larger than the second one.

There comes the concept of place value, the first digit at the left of the decimal point represents the units, the second represents the tens, the third one the hundresd, and so on.

So, in the two given numbers:

815,247 Here the 8 represents the hundreds of thousands.

638,571 Here the 8 is in the thousands place value.

Then the relation between the first 8 and the second one is:

100,000/1,000 = 100

The 8 in Carla's number is 100 times the 8 in Travis' number.

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Answer:  a

Step-by-step explanation: hope it helps.

Answer:  Choice 2

invalid. The inner circle is plants, and the outer circle is those with cells.

=========================================================

Further Explanation:

If we throw a dart at random, and we land in the inner circle (plants), then we automatically land in the outer circle (has cells).

Now imagine the dart landed in the "has cells" circle, but outside the smaller circle. This could be stuff like animal cells, bacteria, etc. So just because something has cells it does not automatically make it a plant. Saying "an iris has cells" is not enough info to be able to tell it's a plant or not. This means the conclusion of "irises are plants" is shaky at best.

This is why the overall argument structure is invalid.

For more information, check out the concept of "affirming the consequent" which is a common fallacy people make.

Answer:

12.5 %

Step-by-step explanation:

There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%

Answer:  27. 10 < x < 20

29. 10 < x < 20

Step-by-step explanation:

Answer:

8 with 6

Step-by-step explanation:

Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Answer: y=-37/2

Step-by-step explanation:

y=9x/8 + (-1/2)

y=9x/8 - 1/2

y=9(-16)/8 - 1/2

y=9*(-2) - 1/2

y=-18 - 1/2

y=-(18 + 1/2)

y=-(18 + 1/2)*2/2

y=-(36 + 1)/2

y=-37/2