The volume of a Rectangular Prism
V = lwh
(Don't send in an answer that doesn't relate to this question or answer gets reported and no brainlist)
A: 72ft^2
B: 24ft^2
C: 74ft^2
D: 144ft^2

The amount of snow that Gabriella would have on her lawn t hours of snow melting is; S(t) = 12.5 - 0.5t

The snow started melting at a rate of 0.5 inches per hour and it is known that 3 hours  after the storm ended, the depth of snow was down to 11 inches.

Snow melted in 3 hours = 0.5 * 3 = 1.5 inches

Thus;

The Initial depth of snow = 11 + 1.5 inches = 12.5 inches.

Now, depth of snow on Gabriella's lawn = Initial depth - 0.5(Number of hours)

Let S(t) be the depth of snow on  Gabriella's lawn, in inches, t hours after the snow stopped falling.

Thus; S(t) = 12.5 - 0.5t

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Answer:

s = 22t or \(\frac{t}{s} = \frac{1}{22}\), when s is students and t is teachers.

Step-by-step explanation:

I. Given t = teacher, s = student

When 1 teacher per 22 students so...

        s = 22t

If there're 10 teachers

        s = 22(10)

           = 220 or \(\frac{t}{s} = \frac{1}{22}\)

Hope that help :)

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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The two values of x best represent where the two functions are equal will be (12,11)

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Given data;

Linear function passing through;

(1, 2), (3, 4), (6,7) and (8, 9)

Quadratic function passing through

(3, 4), (5, 0), (7, 4) & (8, 9)

Let x be two values of x best represent where the two functions are equal;

The value of the x is obtained from the graph where the two line meets.

The value of x willl be (12,11)

Hence, the two values of x best represent where the two functions are equal will be (12,11)

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If the average of vehicles is 35.7 mpg then

(a) the variable is found to be "average miles per gallon .

(b) The variable is quantitative .

In the question ,

we are studying about the average miles per gallon (mpg) for new hybrid small cars .

by consumer reports the random sample of such vehicles gave an average of 35.7 mpg .

Part (a)

here the variable is "average miles per gallon(mpg) " , because it varies with the different cars .

Part(b) ;

This variable is Quantitative , because here we are studying about the term "how much" that means : average miles per gallon .

Therefore , the variable is "average miles per gallon" and is quantitative .

The given question is incomplete , the complete question is

The average miles per gallon (mpg) for all new hybrid small cars , Using Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.

(a) Identify the variable.

(b) Is the variable quantitative or qualitative ?

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I HOPE IT WILL HELP YOU A LOT.

From power rules, the value of n is 4.

The main power rules are presented below.

For solving this question, you should convert the given text into a math expression. See below.

7^7 multiplied by 7^5 equals (7^n)^4 over 7^4 =  \(7^7 * 7^5 =\frac{ (7^n)^4 }{7^4}\)

After that, you should apply the power rules. Using the rule for the multiplication with the same base, you have: \(7^{12} =\frac{ (7^n)^4 }{7^4}\).

Next step, you should apply the rule Power, then: \(7^{12} =\frac{ (7^{4n})}{7^4}\).  One more time, you should apply the rule for the multiplication with the same base, and you will have:

\(7^{12} =\frac{ (7^{4n})}{7^4}\\ \\ 7^{16}=7^{4n}\)

Thus,

16=4n

n=16/4

n=4

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To solve for the surface area of a rectangular prism, you'll need to find the area of each of its six faces and add them together.

A rectangular prism has three pairs of faces: two each for length (L), width (W), and height (H).

First, find the area of the two faces with dimensions L x W. The area is calculated by multiplying length by width: A₁ = L * W. Since there are two such faces, the total area for these is 2A₁ = 2(L * W).

Next, find the area of the two faces with dimensions L x H. The area is calculated by multiplying length by height: A₂ = L * H. The total area for these faces is 2A₂ = 2(L * H).

Finally, find the area of the two faces with dimensions W x H. The area is calculated by multiplying width by height: A₃ = W * H. The total area for these faces is 2A₃ = 2(W * H).

To find the total surface area of the rectangular prism, add the areas of all six faces together: Surface Area = 2A₁ + 2A₂ + 2A₃ = 2(L * W) + 2(L * H) + 2(W * H).

So, the formula for the surface area of a rectangular prism is Surface Area = 2(L * W + L * H + W * H).

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Answer:

The height of the cliff CD is approximately 539.76 m

Step-by-step explanation:

The given parameters are;

The first angle of elevation with which the captain sees the person on the cliff = 61°

The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°

The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°

∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;

The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°

By sine rule, we have;

AB/(sin(a)) = BC/(sin(c))

Which gives;

92/(sin(8°)) = BC/(sin(61°))

BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m

BC ≈ 578.165 m

The height CD = BC × sin(69°)

∴  The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.

The height of the cliff CD ≈ 539.76 m.

Answer:

D

Step-by-step explanation:

Answer:

IT'S BBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

edge2021 ;)

Answer:

16.66666667

Step-by-step explanation:

=12+10.66666667-6

=22.66666667-6

=16.66666667

Answer: 11.7 ounces

Step-by-step explanation:

65% of 18 is:

0.65*18=11.7

Therefore, the answer is 11.7 ounces.

Answer:

There are 11.7 oz of cotton in this scarf.

Step-by-step explanation:

The scarf weighs 18 oz.  We are told that 65% of the makeup of the scarf is cotton.  To determine how much cotton is in the scarf, we multiply the scarf's full weight, 18 oz, by 0.65 (0.65 is the decimal fraction equivalent of 65%):

0.65(18 oz) = 11.7 oz

There are 11.7 oz of cotton in this scarf.

Answer:

there are 276 guests

Step-by-step explanation:

add dem all up = 276

Answer:

26

Step-by-step explanation:

3³ is basically 3×3×3 which equals to 27

1² is 1×1 which obviously is 1 lol

so,

27 - 1

= 26

Answer: 3*3*3 - 1*1    =    26

Step-by-step explanation:

The extreme values of the function subject to the given constraint in problem number 11 is 2.

Using Lagrange multipliers, we can find the extreme values of the function subject to the given constraint in problem number 11.

Problem number 11 is to find the extreme values of the function f(x,y) = xy subject to the constraint x^2 + y^2 = 4. We can use Lagrange multipliers to solve this problem. Let L(x,y,λ) = xy + λ(x^2 + y^2 - 4) be the Lagrangian function. Taking partial derivatives of L with respect to x, y, and λ and setting them equal to zero, we get the following equations:

y + 2λx = 0

x + 2λy = 0

x^2 + y^2 = 4

Solving these equations simultaneously, we get x = ±√2 and y = ±√2. Substituting these values in the function f(x,y) = xy, we get the extreme values of f to be f(√2,√2) = 2 and f(-√2,-√2) = 2. Therefore, the maximum value of f is 2 and the minimum value of f is also 2.

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Mean of country A is $29600 and median $29000. Mean of country B is $49800 and median is $29000. Country B has greater income inequality. So option B is the correct answer.

Mean of incomes in country A = (9000+ 21000+ 29000 + 39000+ 50000)/5   =  $29600

Median income of country A = (5+1)/2 th term = 3rd term = $29000

Mean to median ratio = 29600/ 26000= 1.02

Mean income of country B = ( 9000+ 21000+ 29000+ 39000+ 151000)/5 = $ 49800

Median income = (n+1)/2 th term = (5+1)/2 = 3rd term = 29000

Mean to median ratio of country B = 49800/29000 = 1.71

Since mean and median are closer to each other, standard deviation is less. The mean to median ratio is greater for country B. So country B has greater income inequality.

If the income inequality has been increasing, then the mean-median ratio will increase, due to the extreme values, mean will increase. So option B is the correct answer.

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Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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The equations of the linear functions and exponential functions are computed below

Function 1:

This is an exponential function with the following parameters

So, we have

v(w) = ar^w

This gives

v(w) = 3(4)^w

This means that

v(3) = 3(4)^3 = 192

v(9) = 3(4)^9 = 786432

Function 2:

This is a linear function with the following parameters

So, we have

f(n) = a + (n - 1)d

This gives

f(n) = -1 + (n - 1) * -9

f(n) = -1 + 9 - 9n

Evaluate

f(n) = 8 - 9n

This means that

f(4) = 8 - 9(4) = -28

f(36) = 8 - 9(36) = -316

Function 3:

This is an exponential function with the following parameters

So, we have

g(w) = ar^(w - 1)

This gives

g(w) = 3 * 3^(w - 1)

This means that

g(4) = 3 * 3^(4 - 1) = 81

g(8) = 3 * 3^(8 - 1) = 6561

Function 4:

Here, we have

a = 272 and r = 1/4

So, the function is

f(x) = 272 * (1/4)^(x - 1)

This gives

f(4) = 272 * (1/4)^(4 - 1) = 272/64

f(9) = 272 * (1/4)^(9 - 1) = 272/65536

Function 5:

Here, we have

a = 1768 and r = 1/2

So, the function is

a(x) = 1768 * (1/2)^x

This gives

a(3) = 1768 * (1/2)^3 = 221

a(8) = 1768 * (1/2)^8 = 1768/256

Function 6:

Here, we have

a = -71 and d = 2

So, we have

g(x) = -71 + 2(x - 1)

g(x) = -71 + 2x - 2

g(x) = 2x - 73

This means that

g(4) = 2(4) - 73 = -65

g(31) = 2(31) - 73 = -11

Function 7:

Here, we have

a = 1295 and r = 1/10

So, the function is

g(x) = 1295 * (1/10)^(x - 1)

This gives

g(4) = 1295 * (1/10)^3 = 1.295

g(9) = 1295 * (1/10)^8 = 0.00001295

Function 8:

Here, we have

a = 0.051 and r = 10

So, the function is

f(w) = 0.051 * (10)^(w - 1)

This gives

f(4) = 0.051 * (10)^3 = 51

f(8) = 0.051 * (10)^7 = 510000

Function 9:

Here, we have

a = -88 and d = -12

So, we have

g(n) = -88 - 12n

This means that

g(3) = -88 - 12(3) = -124

g(25) = -88 - 12(25) = -388

Function 10:

Here, we have

h(2) = 50 and h(4) = 1250

So, we have

ar^2 = 50 and ar^4 = 1250

Divide

r^2 = 25

This gives

r = 5

So, we have

25a = 50

a = 2

So, the function is

h(x) = 2(5)^x

This gives

h(8) = 2(5)^8 = 781250

h(9) = 2(5)^9 = 3906250

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Solving a system of equations means to determine the values of the variables that satisfy all of the equations at the same time.

The statement "Solve the equation, inequality or system of equations" refers to solving either an equation, inequality, or a system of equations.

What is an equation?

An equation is a mathematical statement that asserts the equality of two expressions. Equations typically contain an equal sign and two expressions on either side of it.

What is an inequality?

An inequality is a mathematical statement that indicates that one quantity is larger or smaller than another. The greater than (>), less than (<), greater than or equal to (≥), and less than or equal to (≤) symbols are used in inequalities.

What is a system of equations?

A system of equations is a set of equations that must be solved together. Each equation in a system contains the same variables.

The objective of solving a system of equations is to determine the values of the variables that satisfy all of the equations at the same time.

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Answer:

S, A, D, D, M

Step-by-step explanation:

Always do the opposite of what is happening in the equation.

x + 47 = 28, is adding, so you would use subtraction to solve for x.

Answer:

(-0.5 , 0.5)

Step-by-step explanation:

Midpoint = \((\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\)

               \(= (\frac{-3+2}{2},\frac{4-3}{2})\\\\=(\frac{-1}{2},\frac{1}{2})\\\\=(-0.5, 0.5)\)

g(2) is -1/4 for function g(x)= 1-x/x².

A relation is a function if it has only One y-value for each x-value.

The given function is  g(x)= 1-x/x²

g of x equal to one minus x divided by x square

g(x)= 1-x/x²

Now we need to find the value of g(2).

Replace the x with 2

g(2)=1-2/2²

When two is subtracted from one we get minus one and two square is four

g(2)=-1/4

Hence, g(2) is -1/4 for function g(x)= 1-x/x².

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Answer:

none

Step-by-step explanation:

all the numbers are relatively close to each other, so there is no significant gap between each.

Answer:

Yes, it is possible without brackets

Step-by-step explanation:

First do 2+3 to give yourself another 5

then times this 5 by the original one to get 25

Finally, times the 25 by 4 to get 100

Hope this helps you :)

Answer:

well thats ez its 1+9=10 10x8=80 then do 5x4=20 then add 80+20=100!

Step-by-step explanation:

pls give me brainliest

ANswer:

1+9=10x8=80(5x4=20) 80+20=100

The two numbers whose sum is 495 and follows the required conditions are 450 and 45.

Let the two numbers be "AB0" and "AB," where A and B are digits, and 0 represents a zero.

The sum of the two numbers is equal to 495.

The last digit of one of the numbers is zero, which means the first number is a multiple of 10, so we can rewrite it as 10x.

If you cross off the zero from the first number, you get the second number, so the second number is AB.

Now, let's substitute the values into the equation:

10x + x = 495

Now, add the like terms, and we get,

11x = 495

Divide both sides by 11, and we get,

x = 495/11

x = 45

And, 45 times 10 is 450.

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The complete question:

The sum of the two numbers is equal to 495.

The last digit of one of them is zero.

If you cross the zero off the first number you will get the second.

What are the numbers?

Answer:

8

Step-by-step explanation: jusy sivide

One common unit of measure that serves as a conversion factor between linear and angular measurements is the radian (rad).

A radian is defined as the angle subtended at the center of a circle by an arc of the circle equal in length to the radius of the circle.

Since the circumference of a circle is 2π times the radius, there are 2π radians in a full circle. Therefore, one can use the following conversion factors

1 radian = 180/π degrees (approx. 57.3 degrees)

1 degree = π/180 radians (approx. 0.01745 radians)

These conversion factors allow you to convert between linear measurements (such as arc length or circumference) and angular measurements (such as angles in degrees or radians) when dealing with circular motion or rotational systems.

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