One inch is approximately 252
5
millimeters. What is 252
5
as a decimal?

Answer:

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30102[/tex]

Thus, option A is true.

Step-by-step explanation:

Given the expression

[tex]log\left(\frac{1}{2}\right)[/tex]

[tex]=\log _{10}\left(2^{-1}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0[/tex]

[tex]\log _{10}\left(2^{-1}\right)=-1\cdot \log _{10}\left(2\right)[/tex]

so the expression becomes

[tex]=-1\cdot \log _{10}\left(2\right)[/tex]

[tex]\mathrm{Multiply:}\:1\cdot \log _{10}\left(2\right)=\log _{10}\left(2\right)[/tex]

[tex]=-\log _{10}\left(2\right)[/tex]

substituting the value of log 2 = 0.30103

[tex]\:=-0.30102[/tex]

Thus,

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30103[/tex]

Therefore, option A is true.

Answer:

1=3.5 2=10/3

Step-by-step explanation:

they pass each other at the point (3.5,3).

if you find the exact form for both equations you get 10/3 for both

Answer:

The equation is;

y = -3/4x + 12

Step-by-step explanation:

The general form for the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

With respect to this question;

4/3 is the slope and 1 is the intercept

If two lines are perpendicular, then the product of their slopes is -1

Mathematically;

4/3 * m2 = -1

m2 = -3/4

So to find the equation of this second line, we use the point slope form

This is;

y-y1 = m(x-x1)

y-4 = -3/4(x + 8)

y- 4 = -3/4x + 8

y = -3/4x + 12

Answer:

y=5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the fraction 2/3 is in between 0 and 1 and C is the only plotted point that could represent the fraction.

Answer:

[tex]\frac{23}{66}[/tex]

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

26 divided by 13 is 2

Answer:

-75.7224

Step-by-step explanation:

Question: Reflective symmetry over y = (3/5)x ?  

Answer:  No

-------

Question: Reflective symmetry over y = (5/3)x ?  

Answer:  No

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

Explanation:

For any parallelogram that's a square, we'll have four lines of symmetry: The two diagonals and two extra lines of symmetry for the opposite pairs of sides.

In this case, we don't have a square (we can prove this by finding the lengths of each side of the parallelogram), so we move on.

--------------

If the parallelogram is a rectangle, then we'll have two lines of symmetry: one for each pair of opposite sides.

However, we don't have a rectangle either. We can prove this by finding the slopes of the blue lines of the parallelogram, and finding they are not perpendicular slopes.

So we move on.

---------------

The last case is a parallelogram that isn't a rectangle. So it's not a square either. That's what we have here. For parallelograms of this nature, there are no lines of symmetry. We cannot fold it along any line to have it match up with itself.

So that's why the answer is "no" to both of these questions.

Answer:

No and No.

Step-by-step explanation:

Answer:

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

Step-by-step explanation:

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

Answer:

the HL property

Step-by-step explanation:

C

remove the parentheses

move the terms

collect like terms and calculate

divide both sides

and you get -13/8

The answer would be 27/8.

Answer:

the answer is 33 or 33.302

Step-by-step explanation:

hope this helps :)

Answer:

33.3

Step-by-step explanation:

a²+b²=c²

22²+25²=c²

484+625= 1109

√1109= 33.3

Answer:

Negative one

Step-by-step explanation:

Standard form is when you write out the number.

ex. 45 is forty-five

     102 is one hundred two

Hope this helps!

Answer:

15m-30

Step-by-step explanation:

To simplify this expression we simply need to multiply the equation out to get rid of the parenthesis.

So, 5 X 3m = 15 m and 5 X 6 = 30

So, our simplified expression is 15m-30

Hope this Helps!!! :)

Let me know in the comments if I should change anything or if the answer was perfect!

The simplest form of the expression is 15 (m - 2).

We have,

5 (3m - 6)

- Distributive property in the expression.

5 x 3m - 5 x 6

15m - 30

- Factoring out 15.

15 (m - 2)

Now,

It can not be further simplified.

Thus,

15 (m - 2) is the simplified form of the expression.

Learn more about expressions here:

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Answer:

The number of students whose grade was 8 is more than twice the number of students whose grade was 5.

Step-by-step explanation:

N(8) models the number of students whose grades on exam was g.

(The answer is correct, I did it on Khan Academy

Answer:

D

Step-by-step explanation:

Break it into different shapes and find the areas. add the areas for the answer: D

9x4=36

9x20=180

9x2=18

36+180+18=234

Answer:

d

Step-by-step explanation:

((4*9)/2)+(4*9)+(9*20)

Answer:

The probability is 0.0442

Step-by-step explanation:

If they all come from the same class, what it means is that we select 4 sophomores or , 4 juniors or 4 seniors

When we have or, it means we are to add each possible probability scenarios

The total number from which we want to select from is;

5 + 11 + 13 = 29

So the probability will be;

5C4/29C4 or 11C4/29C4 or 13C4/29C4

= 5C4/29C4 + 11C4/29C4 + 13C4/29C4

=0.0442

Answer: E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.

Step-by-step explanation:

The correlation Coefficient of 0.94 obtained is peculiar to the linear model upon which the data was represented. Since the correlation Coefficient usually span between - 1 to + 1, it is very possible that, if the dataset is represented on a different model such as an exponential or quadratic model, the correlation percentage obtained may be better than that produced by the linear model.

Answer:

The Drama Club needs to sell more than 3 pictures to make a profit.

The inequality 10x ≥ 2.55x +25  represents the situation.

Step-by-step explanation:

Given that:

Rent for lighting equipment = $25

Price per print = $2.55

Selling price of one picture = $10

x be the number of pictures.

Selling price * No. of pictures sold ≥ Price of per print * pictures printed + rent

10x ≥ 2.55x +25

10x-2.55x≥25

7.45x≥25

Dividing both sides by 7.45

[tex]\frac{7.45x}{7.45}\geq \frac{25}{7.45}\\x\geq 3.35[/tex]

Hence,

The Drama Club needs to sell more than 3 pictures to make a profit.

The inequality 10x ≥ 2.55x +25  represents the situation.

Answer:

222

Step-by-step explanation:

Closely pay attention to the transversal line running from up-left to down-right.

y) you will notice that the angle to the right of z is corresponding with 50 then 50 will be vertically opposite 6y + 2 hence making them equal.

6y - 2 = 50

6y = 50 - 2

6y = 48

y = 6

z) vertically opposite angles are equal hence the 50 will be equal to the empty space in the triangle.

z + 60 + 50 = 180

z + 110 = 180

z = 180 - 110

z = 70

2y + 3z

2(6) + 3(70)

12 + 210

= 222

Answer:

w = weight of Adrian's cat

c = weight of Lauren's cat

c = 3 + w/2

given: c=10

10 = 3 + w/2

Solve to get 'w':    20=6+w; w=14 pounds

Step-by-step explanation:

Step-by-step explanation:

20 X _15 = 5X +90

15 X =105

X= 7

< A = 35

<B = 55

Answer:

C.) x≥ -2/3

Step-by-step explanation:

Answer:

12x^2-6x+9

Step-by-step explanation:

f(x) = 4x^3 - 3x^2 + 9x -5

f'(x) = nx^n-1

f'(x) = 12x^2 - 6x + 9

Step-by-step explanation:

1.5 : 2.5

= 1.5/2.5

15/25

3/5

the ratio is 3 : 5

The ratio of 1.5-inch screws to 2.5-inch screws is 3/5.

Given,

- 1.5 inch screws

- 2.5-inch screws

We need to find what is the ratio of 1.5-inch screws to 2.5-inch screws.

Ratios are denoted by A:B.

Example: 1/2, 3/4

If two ratios are equal we called the ratios are in proportion.

Example:

1/2 and 5/10

5/10 = 1/2

We have,

1.5 and 2.5

We can write it as:

= 1.5 : 2.5

= 1.5 / 2.5

= 150 / 250

= 15/25

= 5x3 / 5x5

= 3/5

Thus the ratio of 1.5 and 2.5 is 3/5,

Learn more about how to find equivalent ratios here:

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Answer:

Step-by-step explanation:

it would be 15.12 and you would save5.88

Answer:

193.8125

Step-by-step explanation:

Answer: Identity Property of Zero