what is the value of largest integers x such that 112/2^x is an integer.​

Answer:

The natural numbers from 1 to 30:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30.

The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

Prime Numbers can only divide by themselves and 1.

Prime Numbers From 1 to 30: 2,3,5,7,11,13,17,19,23,29.... ( 10 )

Answer:

1.3%

Step-by-step explanation:

percent = part/total × 100%

percent = 25,952/1,994,317 × 100%

percent = 1.30129...%

Answer: 1.3%

Answer:

A. 48.9'

C. 48.9663'

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

Explanation:

The blue parent function has a positive coefficient of 1. The purple g(x) function is a reflection of f(x) over the x axis, so everything is now negative. The coefficient must be negative as well.

But the answer is simply not g(x) = -x^2 because plugging x = 3 does not lead to y = -6 as the point (3,-6) shows.

Let's say the coefficient is k for now. So we have y = kx^2

Plug in x = 3 and y = -6. Solve for k

y = kx^2

-6 = k(3)^2

-6 = k*9

9k = -6

k = -6/9

k = -2/3

So we update y = kx^2 into y = (-2/3)x^2

Meaning that g(x) = (-2/3)x^2 is the equation of the purple curve.

Plug x = 3 into g(x) to find that

g(x) = (-2/3)x^2

g(3) = (-2/3)(3)^2

g(3) = (-2/3)(9)

g(3) = -6

which is the output we want, so this confirms we have the correct coefficient.

Answer:

y=(-2/3)x^2

Step-by-step explanation:

Answer:

3 : 1

Step-by-step explanation:

[tex] \huge7.5 : 2.5 = \frac{7.5}{2.5} = \frac{3}{1} = 3 : 1 [/tex]

The equivalent ratio to 7.5 : 2.5 is given by dividing both elements by 2.5, the ratio is: 3 : 1

Remember that in a ratio A : B we can always multiply or divide both numbers by the same number, and the ratio does not change.

So, for the ratio:

7.5 : 2.5

To be in the form of:

n : 1

We can just divide both elements by 2.5, so we get:

7.5/2.5 = 3

2.5/2.5 = 1

Then we conclude that:

7.5 : 2.5 is equivalent to 3 : 1

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Answer:

The correct option is;

C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2

Step-by-step explanation:

The area of the square frame is the area of the inner square subtracted from the area of the outer square

Which gives;

52.2² - 47.8² = 440

Therefore;

Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame

Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is  a correct way of finding the area of the square frame

Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame

The error is the thickness is 2.2 not 4.4

Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440,  is  a correct way of finding the area of the square frame

Answer:

21 : 22

Step-by-step explanation:

Boys : Girls = 7 : 8

Let the number of boy = 7x

the number of girls = 8x

Number of boys after 20% increase = 120% of 7x

                                                           = 1.2 * 7x

                                                            = 8.4 x

Number of girls after 10% increase = 110% of 8x

                                                           = 1.1 * 8x

                                                            = 8.8x                    

After increase in number of boys & girls ,

= 8.4x : 8.8x

= 84 : 88    { reduce to simplest form by giving by 4th table}

= 21 :  22

Answer:

x = 3/10

Step-by-step explanation:

2 1/3 = 2 + 1/3 = 6/3 + 1/3 = 7/3

1 1/2 = 1 + 1/2 = 2/2 + 172 = 3/2

2(1 1/2 - x) =  7/3 + 1/15

2(3/2 - x) = 35/15 + 1/15

2*3/2 + 2*-x = 36/15

3 - 2x = 36/15

-2x = 36/15  - 3

-2x = 36/15  -  45/15

-2x = -9/15

x = (-9/15)/-2

x = -9 / (15*-2)

x = 9/30

x = 3/10

verify:

2(3/2 - 3/10) = 36/15

2*3/2 + 2*-3/10 = 36/15

3 - 6/10 = 36/15

30/10 - 6/10 = 36/15

24/10 = 36/15 = 72/30

Answer: Standard Deviation.

Step-by-step explanation:

DescriptionIn insights, the standard deviation is a proportion of the measure of variety or scattering of a lot of qualities. A low standard deviation demonstrates that the qualities will in general be near the mean of the set, while an elevated expectation deviation shows that the qualities are spread out over a more extensive territory.

Answer:

There are 9 dots. So 9.

Step-by-step explanation:

Just take my word for it.

Answer:

The answer is C. 76.53

Answer: D = {-5 ≤ x ≤ -2  or  1 ≤ x < 5}

Step-by-step explanation:

When we have a function f(x) = y, the domain is defined as all the possible values of x that the function maps into other values.

In our graph, we can see two curves.

The first one (the one at the left)

Has two black dots, one at x = -5, and other at x = -2

(black dots means that the value is included, white dots means that the value is not included)

So this first part of the domain is:

-5 ≤ x ≤ -2.

Now, the second part has a black dot in x = 1, and a white dot in x = 5, so we can write this part of the domain like:

1 ≤ x < 5

Then the domain of our function is:

D = {-5 ≤ x ≤ -2  or  1 ≤ x < 5}

Answer:

He will owe $24 interest at the end of the year.

Step-by-step explanation:

Formula for finding Simple Interest:

S.I = PRINCIPAL × RATE × TIME/100

S.I = 200 × 12 × 1/100

S.I = $24

$24 is the Simple Interest.

Answer:

66

Step-by-step explanation:

The height of the person in inches by unit conversion will be 66 inches.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

It is known that,

1 feet = 12 inches

Multiply both sides by 5.5

5.5 feet = 12 x 5.5 = 66 inches

Hence "The height of the person in inches by unit conversion will be 66 inches".

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Answer:

x < -8

Step-by-step explanation:

3 - (2x - 5) < -4(x + 2)

3 - 2x + 5 < -4*x -4*2

-2x + 8 < -4x - 8

-2x + 4x < -8 -8

2x < -16

x < -16/2

x < -8

Step-by-step explanation:

so, x+4/x-1=11/16

16x+64=11x-11

16x-11x=-11-64

5x=-75

x = -15

also, x+1 = -14

x =first number

x+1 = second number

(x) + 4 = x + 4 = 1 ^ new number [first number + 4]

(x + 1) -2 = x - 1 = 2 ^ new number [second number - 2]

[tex]\frac{x+4}{x-1}=\frac{11}{16}[/tex]

now, we resolve it:

[tex]\frac{16(x+4)-11(x-1)}{16(x-1)}=0[/tex]

[tex]\frac{16x+64-11x+11}{16x-16}=0[/tex]

[tex]\frac{5x+75}{16x-16}=0[/tex]

we eliminate the denominator and do c.e.: 16x - 16 ≠ 0; 16x ≠ 16; x ≠ 1

5x + 75 = 0

x = - 15

so x + 1 = - 14

But what you ask are two positive numbers! Are you sure that you write correctly the question? Thank you

Answer:

Possible perimeters:

50 inches, 28 inches, 22 inches, 20 inches.

Step-by-step explanation:

Given that:

Area of triangle = 24 square inches

Side lengths of rectangle are integers.

To find:

Possible perimeter of this rectangle = ?

Solution:

Here, options are missing, so let us calculate all possibilities for the perimeter.

The formula for Area of a rectangle is given as:

[tex]A = Length \times Width[/tex]

Let us make integer factors of 24 first of all.

[tex]24 = 1 \times 24\\24 = 2 \times 12\\24 = 3 \times 8\\24 = 4 \times 6[/tex]

These are the four possibilities of length and breadth.

Let us calculate the possible perimeter for each case using the formula for perimeter:

[tex]Perimeter = 2\times (Length + Width)[/tex]

1st possible option:

[tex]Perimeter = 2\times (1+ 24) = 50\ inches[/tex]

2nd possible option:

[tex]Perimeter = 2\times (2+ 12) = 28\ inches[/tex]

3rd possible option:

[tex]Perimeter = 2\times (3+ 8) = 22\ inches[/tex]

4th possible option:

[tex]Perimeter = 2\times (4+ 6) = 20\ inches[/tex]

Answer:

Step-by-step explanation:

The vertex is (d, e)

for quadratic function: f(x) = ax² + bx + c  we have:

d = -b/a    and    d = (x₁ + x₂)/2  

a = 1,   b = k,   x₁ = -4,    x₂=-2      

so:

d = -b/a = -k/1 = -k   and   d = (x₁ + x₂)/2 = (-4-2)/2 = -3

-k = -3

k = 3

Answer:

4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.

Step-by-step explanation:

Numbers:

Let's see which option is correct:

-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.

-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.

4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.

12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.

Answer:

a line

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

They are both divisible by 21.

Answer:

Yes

Step-by-step explanation:

They both equal one half

Answer: Choice A) z = -3

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

Work Shown:

-2z + 3 + 7z= -12

5z+3 = -12

5z = -12-3 .... subtract 3 from both sides

5z = -15

z = -15/5 .... divide both sides by 5

z = -3

Answer:

A. z = -3

Step-by-step explanation:

B, C, and D have the wrong variable in the answer

-2z + 3 + 7z = -12

5z + 3 = -12

5z = -15

z = -3

Answer:

five times the value of 6 more than a number

Step-by-step explanation:

five times = 5 •

6 more = 6 +

a number = x

5(x + 6)

Answer:

C. -24

Step-by-step explanation:

Hello!

To solve this we have to follow the order of PEMDAS

Parenthesis, exponents, multiplication and division, addition and subtraction

[tex]21 + 6^{2} - (35 - 8) * 3[/tex]

Parenthesis first

[tex]21 + 6^{2} - (27) * 3[/tex]

Exponents next

21 + 36 - 27 * 3

Multiplication and division from left to right

21 + 36 - 81

Addition and subtraction from left to right

57 - 81 = -24

The answer is C.-24

Hope this helps!

Answer:

Step-by-step explanation:

[tex]21+6^2-\left(35-8\right)\times \:3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(35-8\right)\::\quad 27\\\\=21+6^2-27\times \:3\\\\\mathrm{Calculate\:exponents}\:6^2\::\quad 36\\\\=21+36-27\times \:3\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\times \:3\::\quad 81\\\\=21+36-81\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:21+36-81\::\quad -24\\\\=-24[/tex]

Answer:

D) If C lies on AB and is between A and B, then AC + CB = AB.

Step-by-step explanation:

Statements A, B and C are postulates while statement D is a theorem.

A postulate is a statement that is true but cannot be proven, but a theorem is a statement that can be proven.

The statement D is the betweenness theorem for points. It states that If C lies on AB and is between A and B, then AC + CB = AB.

This statement can be proven, so it is a theorem.

Answer:

The weight is 9 lbs

Step-by-step explanation:

flat fee + price per found * pounds = total charge

6.99 + .55 * p = 11.94

Subtract 6.99 from each side

6.99 + .55 * p  - 6.99= 11.94-6.99

.55p =4.95

Divide each side by .55

.55p/.55 = 4.95/.55

p =9

The weight is 9 lbs

Answer:

- 10

Step-by-step explanation:

Distribute the '+' into the '-' and simplify:  

-5+9+(-5)+(-10)+(1) =

-5 + 9 - 5 - 10 + 1 =

-10

Answer:

Step-by-step explanation:

[tex] \sf{ - 5 + 9 + ( - 5) + ( - 10) + 1}[/tex]

When there is a ( + ) in front of an expression in parentheses, the expression remains in same.

⇒[tex] \sf{ - 5 + 9 -5 - 10 + 1}[/tex]

Calculate

⇒[tex] \sf{ 4 - 5 - 10 + 1}[/tex]

⇒[tex] \sf{ - 1 - 10 + 1}[/tex]

⇒[tex] \sf{ - 11 + 1}[/tex]

⇒[tex] \sf{ - 10}[/tex]

Hope I helped!

Best regards!!

Answer:

The answer is 280

Step-by-step explanation:

Because, the formula of volume of rectangular prism is Volume = length•width• height

Answer:

the answer is D

Step-by-step explanation:

refer to the picture given