Please help im new here! a library would like to see how many of its patrons would be interested in regularly checking out books from an enlarged print section. they randomly surveyed 200 patrons and 6 patrons responded that they would regularly check out books from an enlarged print section. if the library has a total of 3200 patrons, how many people can they expect to regularly check out books from an enlarged print section?

[tex]\sf Potassium \ : \ 2.2 * 10^{-7}[/tex]

[tex]\sf Argon \ : \ 7.1 * 10^{-8}[/tex]

[tex]\sf Boron \ : \ 8.5 * 10^{-8}[/tex]

[tex]\sf Silver \ : \ 1.6 * 10^{-7}[/tex]

greatest to least :

The order is

Shortcut trick :-

The nature of atomic radii in. periodic table

Answer:

1) 18b - 3c - 10

2) [tex]1\frac{3}{4}[/tex]g + 7

3) 0.3y

4) -4n - 5

Step-by-step explanation:

1) 16b + 5c - 10 - 8c + 2b

like terms: 16b + 2b = 18b

like terms: 5c - 8c = -3c

like terms: -10

simplified: 18b - 3c - 10

____________

2) 1/2g + 2g - 3/4 g + 7

like terms: 1/2g + 2g - 3/4g

2 1/2 - 3/4

improper fraction > 5/2 > same denom > 10/4

10/4 - 3/4 = 7/4 > mixed number> 1 3/4g

like terms: +7

simplified: 1 3/4g + 7

____________

3) -0.9y + 4.4y - 3.2y

like terms:  -0.9y + 4.4y - 3.2y

simplified: 0.3y

____________

4) 4 - 8n + 7n - 3n - 9

like terms: -8n + 7n - 3n = -4n

like terms: 4 - 9 = -5

simplified: -4n - 5

____________

Answer:

5050

Step-by-step explanation:

sum of first n natural num. = [n(n+1)]/2

sum of first 100 natural num. = (100x101)/2 = 5050

Answer : The sum of 1 to 101 positive integer is 5050

5052 will be sum of 1 to 101 only positive integer

The required distance between the take-off point and the water tower is 1980.1 feet.

Given that,
A plane took off and rose at an angle of 8º with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take-off point of 2000 feet.
To determine how far apart are the take-off point and the water tower.​

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

Here,
Now,
The distance flying over inclination is 2000 feet at an angle of 8° with horizontal.
Now,
Required horizontal distance = 2000 * cos 8°
                                            = 1980.1 feet.

Thus, the required distance between the take-off point and the water tower is 1980.1 feet.

Learn more about trigonometry equations here:

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Answer:

20

Step-by-step explanation:

It is stated that the triangles in the figure are similar:

We can use the side lengths' proportions to find the length of TY

UT/ZY = XT/TY

(9.6)/16 = 12/TY cross multiply expressions:

192 = (9.6)TY divide both sides by 9.6

20 = TY

Answer: B is correct

Step-by-step explanation:

if you do 2 ÷ 5 you get 0.4. But that isn't an option. So, the only other possibility would be -2 ÷ 5 which gives us -0.4, and that makes sense.

I'm not the greatest at explaining this one but hopefully, this helps!

Answer:

C) 1

Step-by-step explanation:

The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C

Answer:

x = -2, y = 10

Step-by-step explanation:

Answer:

i did this on study island

Step-by-step explanation:

The speed at which Erin drove from the given parameters was calculated as; 35 mph

Let Erin's speed rate be X. Now, since it took erin 21 miles, then;

Erin's time = 21/X

Now, erin's speed was 10 mph faster than Brent's speed. Thus;

Brent's speed = (X - 10) mph

Thus, Brents time = 15/(x - 10)

Now, since they took the same time, then we know that;

21/x = 15/(x - 10)

15x = 21x - 210

6x = 210

x = 210/6

x = 35

Thus, Erins speed = 35 mph

Read more about rates at; https://brainly.com/question/12242745

Answer:

x = 5,-3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

See attachments

Step-by-step explanation:

Hope this helps! (I hope you can open them)

Answer: The answer is 9.00988 mi/h

Step-by-step explanation: to be simplified it would be 9.0 or 9 miles an hour

Answer:

that is 4.6 m that the answer

Answer: Anna

Step-by-step explanation:

        First, I will create proportions.

Anna: 2 lemon : 9 water

Jack: 3 lemon : 15 water

        Next, I will simplify them.

[tex]\frac{2}{9}[/tex] = Already simplified

[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]

        Now I will give them common denominators and compare. Anna's has a larger lemon to water ratio, so Anna's will have a stronger lemon taste.

[tex]\frac{2}{9}[/tex]  * [tex]\frac{5}{5}[/tex] = [tex]\frac{10}{45}[/tex]

[tex]\frac{1}{5}[/tex] * [tex]\frac{9}{9}[/tex] = [tex]\frac{9}{45}[/tex]

Answer:

  -2 and 1

Step-by-step explanation:

The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.

__

Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...

  10x +5y = -15

The second relation tells us ...

  6x +2y = -10

We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:

__

We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:

  (3x +y) -(2x +y) = (-5) -(-3)

  x = -2 . . . . . . . . . . simplify

  2(-2) +y = -3 . . . . substitute for y

  y = 1 . . . . . . . . . . add 4

The two numbers are -2 and 1.

Considering the surface area of the rectangular box, it is found that since it is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

The surface area of a rectangular prism of length l, width w and depth d is given by:

S = 2(lw + ld + wd).

In this problem, we have that the dimensions, in inches, are given by l = 13, w = 8, d = 7. Hence, the surface area in in² is given by:

S = 2(13 x 8 + 13 x 7 + 8 x 7) = 502 in².

Since the surface area of the box is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/17223528

Answer:

Step-by-step explanation:

a and b are parallel lines. So, alternate interior angles are congruent.

∠2 = 64.8°

∠3 = 30.5°

Sum of all angles of triangle  = 180

∠1 + ∠2 + ∠3 = 180

∠1 + 64.8 + 30.5 = 180

           ∠1  + 95.3 = 180

                       ∠1 =  180 - 95.3

                        ∠1  =  84.7°

is the sign that you mean ÷ ?

if so:

-3×7÷5×1/7

= -21÷5×1/7

=-21/5 × 1/7

= (-21×1) / (5×7)

= -21/35

=-3/5

=-0.6

Question: calculate the measure of angle JKL, i.e. mJKM+mMKL

Answer:

78°

Step-by-step explanation:

angle JKM is a tangent-chord intersection angle and equals half of the intercepted arc KM of 76°.  Thus

mJKM = 76/2 = 38°

angle MKL is an inscribed angle and equals half of the intercepted arc ML of 80°,  Thus

mMKL = 80/2 = 40°.

Therefore angle JKL = 38°+40° = 78°.

Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.

Answer:

Surface Area: [tex]18ft^3[/tex]

Volume: [tex]44ft^2[/tex]

Step-by-step explanation:

Volume Formula --> base * height

[tex](4.5 * 2) * 2 = 9*2=18ft^3[/tex]

Surface Area Formula --> 2(width*length + height*length + height*width)

[tex]2((2*4.5) + (2*4.5)+(2*2)) = 2(9+9+4) = 2(22) = 44ft^2[/tex]

Answer:

Volume = 18 ft³

Surface area = 44 ft²

Step-by-step explanation:

Volume

Volume of a cuboid = base length × base width × height

Given:

Substitute given values into formula:

⇒ Volume = 4.5 × 2 × 2 = 18 ft³

Surface Area

Surface area = 2(base width × height) + 2(base length × height) + 2(base length × base width)

                      =2(2 × 2) + 2(4.5 × 2) + 2(4.5 × 2)

                      = 8 + 18 + 18

                      = 44 ft²

Answer:

57 3/10 or 57.3 sets

Step-by-step explanation:

573 stickers divided by 10 sets

Answer:

57 sets of 10 stickers

Step-by-step explanation:

573/10 = 57.3

so, 57 sets of 10 stickers.

Hope this helped! Have a nice day!

Please give Brainliest when possible!

- King Jaron

Answer:

I think 2(x^2−y^2)=3x

Answer:

Its 2(x^2-y^2)=3x

Answer:

A. x= 2

B. x= 8

Step-by-step explanation:

Solving an equation refers to finding the value of the variable in the equation.

A. 17x +12= 54 -4x

Bring all x terms to one side, constant to the other:

17x +4x= 54 -12

21x= 42

x= 42 ÷21

x= 2

B. 5x -10 +2x= 6(x +1) -x

7x -10= 6x +6 -x

7x -10= 5x +6

Bring all x terms to one side, constant to the other:

7x -5x= 10 +6

2x= 16

Divide both sides by 2:

x= 16 ÷2

x= 8

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with two equations that are 17x + 12 = 54 - 4x and 5x - 10 + 2x = 6(x + 1) - x . And we are asked to solve the equation that means we have to find the value of x for both the equations .

Solution : -

[tex] \longmapsto \qquad \: 17x + 12 = 54 - 4x[/tex]

Step 1 : Subtracting 12 on both sides :

[tex] \longmapsto \qquad \: 17x + \cancel{ 12} - \cancel{12} = \bold{54} - 4x - \bold{ 12}[/tex]

Simplifying it ,

[tex] \longmapsto \qquad \: 17x = 42 - 4x[/tex]

Step 2 : Adding 4x on both sides :

[tex] \longmapsto \qquad \: 17x + 4x = 42 - \cancel{4x} + \cancel{4x}[/tex]

On further calculations, we get :

[tex] \longmapsto \qquad \: 21x = 42[/tex]

Step 3 : Dividing with 21 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{21}x}{ \cancel{21} } = \cancel{ \dfrac{42}{21} }[/tex]

We get :

[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 2}}}} \quad \bigstar[/tex]

Verifying : -

Now , we are verifying our answer by substituting value of x as 2 in the given equation . So ,

Therefore , our solution is correct .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

[tex] \longmapsto \qquad \: 5x - 10 + 2x = 6(x + 1) - x[/tex]

Step 1 : Adding like terms on left side :

[tex] \longmapsto \qquad \: 7x - 10 = 6(x + 1) - x[/tex]

Step 2 : Solving parenthesis on right side by using distributive property . ( Multiplying 6 with x and 1 both ) :

[tex] \longmapsto \qquad \: 7x - 10 = \bold{6x} + 6 - \bold{x}[/tex]

Step 3 : Solving like terms on right side :

[tex] \longmapsto \qquad \: 7x - 10 = 5x + 6[/tex]

Step 4 : Adding 10 on both sides :

[tex] \longmapsto \qquad \: 7x - \cancel{10} + \cancel{ 10} = 5x + 6 + 10[/tex]

Simplifying it ,

[tex] \longmapsto \qquad \: 7x = 5x + 16[/tex]

Step 5 : Subtracting 5x on both sides :

[tex] \longmapsto \qquad \: 7x - 5x = \cancel{5x }+ 16 - \cancel{5x}[/tex]

On further calculations , we get :

[tex] \longmapsto \qquad \: 2x = 16[/tex]

Step 6 : Dividing with 2 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{16}{2} }[/tex]

We get :

[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 8}}} } \quad \bigstar[/tex]

Verifying : -

Now , we are verifying our answer by substituting value of x as 8 in the given equation . So ,

Therefore , our solution is correct.

Answer:

Graph Passing through origin with Gradient ⅓

Step-by-step Solution:

1. Aquire x and y Intercepts by substituting 0 to corresponding value.

When x=0,

[tex]y = \frac{1}{3} (0) \\ y = 0[/tex]

When y=0,

[tex]0 = \frac{1}{3} x \\ x = 0[/tex]

i.e. passing through Origin

do the same for any other 2 points and connect the dots/coordinates and extend the line

According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.

The table shows the population density of some states in which the number of people and the area of that state are mentioned.

Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.

On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.

Learn more about area in: https://brainly.com/question/11952845

Answer:

-2i.

Step-by-step explanation:

( 1 - i ) ( 1 - i )

= 1(1 - i) - i(1 - i)

= 1 - i - i + i^2

Now i^2 = -1 so we have:

1 - 2i - 1

= -2i