A zoo requires that 1 adult accompany every 7 students that visit the zoo. How many adults must accompany 28 students?

Answer:

180 sq.cm

Step-by-step explanation:

A = 10 x 10 + 16 x 5 x 1/2 x 2

A = 100 + 16 x 5

A = 100 + 80

A = 180 square cm

Hope that helps!

Answer:

0.15 or 20/132 or 5/33 or 15%

Step-by-step explanation:

5/12 is the probability for the first red candy.

The question says "without replacement" meaning that if one candy is picked it will NOT be picked again and it will not go back to the original bowl. The second red candy is 4/11 (one red candy was already taken out from the first event). Multiply 5/12 and 4/11 to get 20/132. That is simplified to be 5/33 but if you divide it will 0.15 and as a percent it would be 15%.

Answer:

0.8

Step-by-step explanation:

Answer: 1 minute and 25 seconds

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  4 in²

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height of the prism.

We can find the area of the base by solving for B.

  B = V/h

  B = (12 in³)/(3 in)

  B = 4 in² . . . . . . . . . . matches the first choice

Answer:

Step-by-step explanation:

Remark

This is a cosine law problem.

a = 12

b = 15

C = 83

Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.

Formula

c^2 = a^2 + b^2 - 2ab*cos(C)

Solution

c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)

c^2 = 144 + 225 - 360 * cos(83)

cos(83) = 0.1219

c^2 = 144 + 225 - 360 * 0.1219

c^2 = 369 - 43.884

c^2 = 325.116

sqrt(c^2) = sqrt(325.116)

c = 18.031

To the nearest tenth, the answer is 18.0 and you must include the 0.

Answer:

The dependent variable is the shoe size

Step-by-step explanation:

Answer:

[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Area - Integrals

U-Substitution

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

F: y = √(15 - x)

G: y = √(15 - 3x)

H: y = 0

Step 2: Find Bounds of Integration

Solve each equation for the x-value for our bounds of integration.

F

G

This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.

We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).

Step 3: Find Area of Region

Integration Part 1

Step 4: Identify Variables

Set variables for u-substitution for both integrals.

Integral 1:

u = 15 - x

du = -dx

Integral 2:

z = 15 - 3x

dz = -3dx

Step 5: Find Area of Region

Integration Part 2

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

Answer:

huh

Step-by-step explanation:

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

the value of the required slope can be calculated from:

[tex]s=\frac{y_1-y_2}{x_1-x_2};[/tex]

[tex]s=\frac{10-8}{2-5};[/tex]

finally,

[tex]s=-\frac{2}{3}.[/tex]

Note, the suggested option is not the only one.

Answer:

75.23 is the answer for 77.5-2.27

If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)

Answer:

320man zaans

Step-by-step explanation:

Answer:

8/9 (choice b)

Step-by-step explanation:

The trigonometric ratios are based on the ratios of different sides.

If you remember SOH CAH TOA =

sine (sin) opposite hypotenuse

cosine (cos) adjacent hypotenuse

tangent (tan) opposite adjacent

__________________________

This is a nuemonic for these ratios.

the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.

So cos C = adjacent side / hypotenuse side.

Since 18 is greater than 16 and 9, 18 is the hypotenuse.

the adjacent side is the side other than the opposite side and the hypotenuse which is 16

therefore cos C = 16 / 18 = 8 / 9.

Answer:

The answer is "Option b".

Step-by-step explanation:

Calculating the common Box-Cox Transformation:

[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]

  [tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]

    [tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]

Well formatted version of the question can be found in the picture attached below :

Answer:

Both Carlos and Irene

Step-by-step explanation:

Given the expression (28x - 8)

Carlos : 2(14x - 4)

Danny : 7(4x - 1)

Irene : 4(7x - 2)

The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :

Carlos :

2(14x - 4)

2*14x - 2*4

28x - 8

Danny :

7(4x - 1)

7*4x - 7*1

28x - 7

Irene :

4(7x - 2)

4*7x - 4*2

28x - 8

From.the expanded solutions obtained ;

Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct

Answer:

X : ____ 0 ____1 ____ 2 ____ 3 ____ 4

P(x) : _ 0.333_0.167 _0.100_0.067__0.333

E(X) = 1.9

Step-by-step explanation:

From the question above:

X ; number of misses

For :

X = 0 ; P(X = 0) = 1/3 = 0.333

X = 1 ; misses first ; succeeds on second

P(X = 1) = 2/3 * 1/4 = 2/12 = 1/6 = 0.167

X = 2 ; misses first, misses second, succeeds on third

P(X = 2) = 2/3 * (1 - 1/4) * 1/5 = 2/3*3/4*1/5 = 6/60 = 1/10 = 0.10

X = 3 :misses first, misses second, misses third succeeds on fourth

P(X = 3) = 2/3 * 3/4 * (1 - 1/5) * 1/6 = 2/3*3/4*4/5*1/6 = 24/360 = 0.067

X= 4

P(X =4) = 2/3 * 3/4 * 4/5 * 5/6 = 120/ 360 = 1/3 = 0.333

X : ____ 0 ____1 ____ 2 ____ 3 ____ 4

P(x) : _ 0.333_0.167 _0.100_0.067__0.333

E(X) :

Σx*p(x) = (0*0.333) + (1*0.167) + (2*0.100) + (3*0.067) + (4*0.333)

0 + 0.167 + 0.2 + 0.201 + 1.332

= 1.9

Answer:

6 kilograms of apples

Step-by-step explanation:

8.5-2.5=6

Hope I helped

Answer:

53 feet.

Step-by-step explanation:

2(Width)+2(Length)=Perimeter

--> 2(43)+2(Length)=192

--> 86+2(Length)=192

--> 2(Length)=106

Length = 53

Answer:

Step-by-step explanation:

By the property,

"Measure of the intercepted arc is double of the inscribed angle"

m(arc BC) = 2×48°

                = 96°

By using the same property,

m(arc AC) = 2 × m(∠B)

m(∠B) = [tex]\frac{110}{2}[/tex]

          = 55°

m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]

48° + 55° + m(∠C) = 180°

m(∠C) = 180° - 103°

          = 77°

m(arc AB) = 2 × (m∠C)

                = 2×77

                = 154°

Answer:

48 is the answer because if you were to have been remembering past questions that has that same picture but answered it would be 48

Answer:

792

Step-by-step explanation:

Answer:

3 5 minus 2 equal 3 plus 1 equals 4

uh

one third?

idunno man

Answer:

13

Step-by-step explanation:

plug in the numbers

-2(-3) + 7 = ?

6 + 7 = ?

13

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Normally in intense thunderstorm clouds. The temperature should be below 32 degrees Fahrenheit in the clouds where the hail forms, typically there is also large water droplets and strong updrafts.

Answer: The freezing temperature of the air below the cloud causes the water droplets to freeze.

Step-by-step explanation: Weather conditions must be just right in order for hail to occur. The most important factors are dark,gray clouds alongside thunder and lightning in freezing or below freezing temperatures. When thunder is strong enough to raise water droplets up into freezing temperatures,hail is formed.

Step-by-step explanation:

1 = (-2,3)

2= (1,2)

3= (4,1)

4= (3,-3)