Identify the description of data that would be best represented by a histogram.
O IQ scores
O hours a store is open each week
o number of trees sold each day
O favorite ice cream

Answer:

11

Step-by-step explanation:

since x>100, then 19-20x and 20-19x would obviously be negative and x-10 would be positive.

Therefore we have (20x-19)-(19x-20)-(x-10) = 20x-19-19x+20-x+10 = 11

Answer:

469.1 yd²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{210}{360}[/tex]

   = π × 16² × [tex]\frac{21}{36}[/tex]

   = 256π × [tex]\frac{7}{12}[/tex]

   ≈ 469.1 yd² ( to 1 dec. place )

Answer:

c

Step-by-step explanation:

c Which system of linear inequalities has the point (2, 1) in its solution set? Which system of linear inequalities has the point (2, 1) in its solution set?

y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.

y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.

y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.

y less-than one-half x. y less-than-or-equal-to negative one-half x + 2v

The system of linear inequalities x + 2y ≤ 4 and 2x - y > 0 has (2,1) in its solution set.

The solution set is given as:

[tex](x,y) = (2,1)[/tex]

The above solution set is true for x + 2y ≤ 4 and 2x - y > 0, and the proof is as follows:

Substitute 2 for x and 1 for y in x + 2y ≤ 4 and 2x - y > 0.

So, we have:

[tex]\mathbf{2 + 2\times1 \le 4 }[/tex]

[tex]\mathbf{2 + 2\le 4 }[/tex]

[tex]\mathbf{4\le 4 }[/tex] --- this is true, because 4 is less than or equal to 4

Also, we have:

[tex]\mathbf{2x - y > 0}[/tex]

[tex]\mathbf{2 \times 2 - 1 > 0}[/tex]

[tex]\mathbf{4 - 1 > 0}[/tex]

[tex]\mathbf{3> 0}[/tex] --- this is also true, because 3 is greater than 0

Hence, the system of linear inequalities x + 2y ≤ 4 and 2x - y > 0 has (2,1) in its solution set.

Read more about inequalities at:

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Answer:

m=1

c=7

I hope it will be useful.

Answer:

g(x) = 1/2x² is the correction option.

Hence, option B is true.

Step-by-step explanation:

Please check the attached graph.

It means when we multiply the parent function by a number 'b' which is less than 1, then the parent function f(x) = x² is vertically compressed by b.

Here, the graph is vertically compressed by 1/2, therefore we conclude that g(x) = 1/2x² is the result of vertical compression of the parent function by 1/2.

Therefore, g(x) = 1/2x² is the correction option.

Hence, option B is true.

Answer:

so we should find the %20 of 60

60.%20=12

Step-by-step explanation:

the answer is 12

hope it helps

Answer:

Y = 1/3x + 6

Step-by-step explanation:

You are trying to find the b in y=mx + b so you plug in the information you have

7=1/3 (3) + b

1/3 *3 = 1

7 = 1 +b

-1 - 1

6=b

So Y = 1/3x + 6

Answer: - 6 1/2

Step-by-step explanation:

We should note that:

=-4 - 2 1/2

= -6 1/2

For example, let's assume you owe Bob $4 and then you owe Bill $2 1/2. To calculate the total amount owed, you would have $6 1/2.

Answer:

Solution in photo

Step-by-step explanation:

Answer:

2 batches

Step-by-step explanation:

A cookie factory uses 1 1/3 barrels of oatmeal in each batch of cookies

The factory used 2 2/3 barrels of oatmeal yesterday

Therefore the batches of cookies that were made yesterday can be calculated as follows

1 batch= 1 1/3 barrels

x = 2 2/3 barrels

Cross multiply

4/3 x = 8/3

x= 8/3 ÷ 4/3

x = 8/3 × 3/4

x= 2

Hence 2 batches will be produced

Answer:

Step-by-step explanation:

Oil change

Tire change

Time limitation = 60 min

Required inequality:

Simplified

Answer:

3 3/4 brick house

Step-by-step explanation:

Total bricks bought = 3/4 of a ton

Each brick house uses = 1/5 of a ton

How many brick house can Jamie complete before they have to order more?

Number of brick house Jamie can complete with the available bricks = Total bricks bought / bricks per house

= 3/4 ÷ 1/5

= 3/4 × 5/1

= 15/4

= 3 3/4 brick house

Jamie will complete 3 3/4 brick house before they have to order more bricks

Answer: 3/64

Step-by-step explanation:

Dividing by 8 is the same thing as multiplying by the reciprocal (just flip the fraction). Since 8/1 is the same things as 8, here, the reciprocal is 1/8. So just multiply 3/8 by 1/8. You should get 3/64. Hope this helps!

Answer:

22 I think

Step-by-step explanation:

Answer:

s = 6 inches

Step-by-step explanation:

Given:

r = 53 inches,

∠S = 6°

∠T = 58°.

Required:

Length of s

Solution:

Use Sine Rule

Thus:

[tex] \frac{s}{Sin(S)} = \frac{r}{Sin(R)} [/tex]

<R = 180 - (58 + 6)

<R = 116°

r = 53 inches,

∠S = 6°

s = ?

Plug in the values

[tex] \frac{s}{Sin(6)} = \frac{53}{Sin(116)} [/tex]

Multiply both sides by Sin(6)

[tex] \frac{s}{Sin(6)} \times Sin(6) = \frac{53}{Sin(116)} \times Sin(6) [/tex]

[tex] s = \frac{53 \times Sin(6)}{Sin(116)} [/tex]

[tex] s = 6 inches [/tex] (nearest inch)

Answer:

B). SAS similarity.

Step-by-step explanation:

In Δ WVU & ΔCAB,

UV/CA = 17/34 = 1/2

&

VW/AB = 14/28 = 1/2

∵ UV/CA = VW/AB = 1/2

& ∠V = ∠A (Given)

∵ ΔWVU ≅  ΔCAB   (by SAS similarity)

Answer:

Function.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

If we apply the Vertical Line Test to the graph, we can see that each x-value has it's own y-value. Therefore, the graph is a function and not a relation.

Answer:

-5

Step-by-step explanation:

Answer:

cos B = [tex]\frac{7}{25}[/tex]

tan B = [tex]\frac{24}{7}[/tex]

sin B = [tex]\frac{24}{25}[/tex]

Step-by-step explanation:

In the right triangle, there are three sides and 2 acute angles

The trigonometry functions of one of the acute angles Ф are

In Δ ACB

∵ ∠C is the right angle

∴ AB is the hypotenuse

∵ AC is the opposite side of ∠B ⇒ leg1

∵ CB is the adjacent side of ∠B ⇒ leg2

→ By using the ratios above

∴ cos B = [tex]\frac{CB}{AB}[/tex] , tan B = [tex]\frac{AC}{CB}[/tex] , sin B = [tex]\frac{AC}{AB}[/tex]

∵ CB = 7, AB = 25, AC = 24

∴ cos B = [tex]\frac{7}{25}[/tex]

∴ tan B = [tex]\frac{24}{7}[/tex]

∴ sin B = [tex]\frac{24}{25}[/tex]

Answer:

4

Step-by-step explanation:

-9-(-13)

-9+13 <---- (-)*(-) = (+)

13-9

4

Final Answer: [tex]x = 3 + \sqrt{2}, 3 - \sqrt{2}[/tex]

Steps/Reasons/Explanation:

Question: Solve by using the quadratic formula:  [tex]x^{2} - 6x + 7 = 0[/tex].

Step 1: Use the Quadratic Formula.

[tex]x = \frac{6 + \sqrt[2]{2} }{2}, \frac{6 - \sqrt[2]{2} }{2}[/tex]

Step 2: Simplify solutions.

[tex]x = 3 + \sqrt{2}, 3 - \sqrt{2}[/tex]

~I hope I helped you :)~ The quadratic formulaic is attached in an image.

Answer:

1.05

Step-by-step explanation:

3.5x.30=1.05

Answer:

1.05

Step-by-step explanation:

You will have to multiply if you are trying to find the amount of water in total. So, 0.30*3.5=1.05. So, that would be your answer for the amount of rainfall.

Answer:

1) The polynomial in standard form is f(x) = x³ - 9·x² + 23·x - 15

2) The polynomial in standard form is f(x) = x³ - (2 - 2·i)·x² + 4·i·x

3) The polynomial in standard form is f(x) = x² + (3·i - 3)·x + 2 - 6·i

4) The polynomial in standard form is f(x) = x² - (5 + √5)·x + 6 + 3·√5

Step-by-step explanation:

Given that that the polynomial is of least degree, we have;

The standard form is the form, f(x) = a·xⁿ + b·xⁿ⁻¹ +...+ c

1) The zeros of the polynomial are x = 5, 3, 1

Which gives the polynomial in factored form as_f(x) = (x - 5)·(x - 3)·(x - 1)

From which we have;

f(x) = (x - 5)·(x - 3)·(x - 1) = (x - 5)·(x² - 4·x + 3) = x³ - 4·x² + 3·x - 5·x² + 20·x - 15

f(x) = x³ - 9·x² + 23·x - 15

The polynomial in standard form is therefore f(x) = x³ - 9·x² + 23·x - 15

2) The zeros of the polynomial are x = 2, 0, 2·i

Which gives the polynomial in factored form as_f(x) = (x - 2)·(x)·(x - 2·i)

From which we have;

f(x) = (x - 2)·x·(x - 2·i) = (x² - 2·x)·(x - 2·i) = x³ - 2·i·x² + 2·x² + 4·ix

The polynomial in standard form is therefore f(x) = x³ - (2 - 2·i)·x² + 4·i·x

3) The zeros of the polynomial are x = 2, 1 - 3·i

Which gives the polynomial in factored form as_f(x) = (x - 2)·(x - 1 - 3·i)

From which we have;

f(x) = (x - 2)·(x - (1 - 3·i)) = x² - x + 3·i·x - 2·x + 2 -6·i = x² + 3·i·x - 3·x + 2 - 6·i

The polynomial in standard form is therefore f(x) = x² + (3·i - 3)·x + 2 - 6·i

4) The zeros of the polynomial are x = 3, 2 + √5

Which gives the polynomial in factored form as_f(x) = (x - 3)·(x - (2 + √5))

From which we have;

f(x) = (x - 3)·(x - (2 + √5)) = x² - 2·x - x·√5 - 3·x + 6 + 3·√5

f(x) = x² - 5·x - x·√5 + 6 + 3·√5 = x² - (5 + √5)·x + 6 + 3·√5

The polynomial in standard form is therefore f(x) = x² - (5 + √5)·x + 6 + 3·√5.

Answer:

64

Step-by-step explanation:

v = s^3

v = (4)^3 [4x4x4]

v = 64

Answer:

The nonlinear system of equations has 4 solutions ⇒ B

Step-by-step explanation:

The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system

Let us use this note to solve the question

From the given figure

∵ The nonlinear system of equations represented by two curves and a circle

∵ Each curve intersects the circle into two points

∴ The number of the points of intersection is 4

→ By using the note above

∵ The number of intersection points equal to the number of solutions

∴ The number of solutions is 4

∴ The nonlinear system of equations has 4 solutions

Answer:

The remainder when 3456 is divided by 7 is 6.

5 is the remainder when 3456 is divided by 7

A division is a process of splitting a specific amount into equal parts.

We need to find the  remainder when 3456 is divided by 7

3456/7

3456:7 is a ratio and 3456/7 is also called as fraction.

The number 3456 is called the numerator or dividend, and the number 7 is called the denominator or divisor.

3456 we can write as 3451+5

3451 is divided by 7 which gives 493.

5 is the remainder when 3456 is divided by 7

Hence, 5 is the remainder when 3456 is divided by 7

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Answer:

Length of the Rectangle is to be considered as the circumference of the resulting cylinder and the width of the rectangle should be considered as the height of the cylinder only then we get the maximum volume of the cylinder which is 47.77[tex]in^3[/tex]

Step-by-step explanation:

The given dimensions are

Width of the rectangle is  6inches.

Length of the rectangle 10inches.

Now we need to choose in what orientation we need to use the length and the width of the rectangle so that it can be rolled into a rectangle and we get the maximum volume of the resulting cylinder.

so lets consider two cases

CASE-1: width of the rectangle is to be rolled as the circumference of the cylinder and length of the rectangle is to used as the height of the cylinder

 2*pi*r = 6

      r = [tex]\frac{6}{2pi}[/tex]

      r = [tex]\frac{3}{pi}[/tex] Inch

and the height = 10inch.

Volume of the resultant cylinder will be

   = [tex]pi*r^2*h[/tex]

   = [tex]pi*(\frac{3}{pi} )^2*10[/tex]

   = [tex]\frac{9}{pi}*10[/tex]

   = [tex]\frac{90}{pi}[/tex] = 28.662 [tex]in^3[/tex]

CASE-2: When the length of the rectangle is to used as the circumference of the resultant cylinder and the width of the cylinder is used as the height of the cylinder.

2*pi*r= 10

         r =  [tex]\frac{5}{pi}[/tex]

and the height of the cylinder is 6 inch

Now the volume of the cylinder will be

 Volume= [tex]pi*r^2*h[/tex]

              = [tex]pi*(\frac{5}{pi} )^2*6[/tex]

              = [tex]\frac{25}{pi}*6[/tex]

              = [tex]\frac{150}{pi}[/tex] = 47.77[tex]in^3[/tex]

Clearly we have the second case in which the resulting Cylinder will have the maximum volume.

Therefore the CASE-2 will provide the maximum Volume of 47.77[tex]in^3[/tex] to the resulting cylinder in which the length of the rectangle is to be considered as the circumference of the Cylinder and the width of the rectangle is to be considered as the height of the cylinder.