a path that is 7/8 of a mile long is divided into sections that are two sixteenth of a mile long how many sections are created? simplify 2/16 first to make your work easier.​

Answer:

95%

Step-by-step explanation:

Just answer it

Answer:

6.4 cm

Step-by-step explanation:

Area of triangle = 17.28 cm²

\(\frac{1}{2}*base *altitude = 17.28\\\\\frac{1}{2}*base*5.4=17.28\\\\base = 17.28*\frac{2}{5.4}\\\\base= 3.2*2\\\\base = 6.4 cm\)

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

Combining like terms yields 7x⁵ - x³ - x² + 4x.

Answer:

the answer is about 50 minutes

Step-by-step explanation:

5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins

4x^5 ( 5-2x^2 )

Step-by-step explanation:

smallest x is x^5

smallest common factor is 4

4x^5 ( 5-2x^2 )

8x^7 / 4x^5

when dividing the exponents, SUBTRACT the exponents

8 ÷ 4 = 2

x^7 ÷ x^5

7 - 5 = 2

x^7 ÷ x^5 = x^2

2x^2

Answer:

1) initial investment is A.200

2) interest rate is F. 8%

3) D. 16 years

4) H. 520

tell me if anything is wrong

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

2×25= 50

3×25=75

75-50= 25

Answer:

33 \(\frac{1}{3}\) % has not been painted

Step-by-step explanation:

He has painted \(\frac{2}{3}\) , then

1 - \(\frac{2}{3}\) = \(\frac{1}{3}\) has not been painted

To express a fraction as a percentage multiply by 100%

\(\frac{1}{3}\) × 100% = \(\frac{100}{3}\) % = 33 \(\frac{1}{3}\) %

The table for this problem is completed as follows:

The exponential function is defined as follows:

\(y = 3(6)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

a is the value of y when x = 0.

From the table, when x = 0, y = 3, hence the parameter a is given as follows:

a = 3.

When x increases by two, y is multiplied by 108/3 = 36, hence the parameter b is obtained as follows:

b² = 36

b = 6.

Hence the function is:

\(y = 3(6)^x\)

The numeric value at x = 1 is:

y = 3 x 6 = 18.

The numeric value at x = 3 is:

y = 3 x 6³ = 648.

The numeric value at x = 4 is:

\(y = 3(6)^4 = 3888\)

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Answer:

10P-25

Step-by-step explanation:

Answer: -25 is not greater than 10 :P

The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2

How to solve a function?

If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:

g(x) = a(4) raise to the power x-k/2

where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:

f(x) = g(x)/2

Substituting the expression for g(x) into this equation and simplifying, we get:

4raise to the power x - 6 = a(4)raise to the power x-k/2

To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:

f(0) = 4 - 6 = -5

f(1) = 4- 6 = -2

Using the equation g(x)/2 = f(x), we can write:

g(0)/2 = -5

g(1)/2 = -2

Substituting the expression for g(x) into these equations, we get:

a(4) raise to the power -k/2 = -10

a(4) raise to the power 1-k/2 = -4

Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":

(4)raise to the power -k/2 / (4)  raise to the power 1-k/2 = -10 / -4

Simplifying this equation, we get:

4.raise to the power(1-k/2) = 5

Taking the logarithm of both sides (with base 4), we get:

1-k/2 = log4(5)

Solving for "k", we get:

k = 2 - 2 log4(5)

Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":

a = -10 / (4)   raise to the power  -k/2

Substituting the numerical value of "k", we get:

k = 2 - 2 log4(5) ≈ 0.872

a = -10 / (4) raise ti the power  -k/2 ≈ 2.323

Therefore, the equation for the transformed function g(x) is:

g(x) = 2.323 (4)raise to the power x-0.872/2

or equivalently:

g(x) = 1.1615 (4) raise to the power -x0.872

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Answer:

g(x) = 1/2 (4)^x - 3

Step-by-step explanation:

A vertical compression by a factor of 1/2

means that the entire function f is multiplied by 1/2:

1/2 f (x) = 1/2 (4^x - 6)

= 1/2 (4)^x - 3

Answer:

28

Step-by-step explanation:

C or B's so 30% + 40% = 70% so:

70/100 multiplied by 40 because 40 students

7/10 times 40 = 28

Answer:

20%

Step-by-step explanation:

Answer:

l don't understand......

Answer:

Step-by-step explanation: a square x b square

Answer:

1.1892

Step-by-step explanation:

view the attached photo :)

If z varies directly with the square of x and inversely with the cube of y, when x = 8, y = 2, and z = 12, what is x when y = 1 and z = 24 ? Then the value of y = 1 and z = 24, the value of x is 4.

In this explanation, we will explore the relationship between three variables, namely z, x, and y. We are given that z varies directly with the square of x and inversely with the cube of y.

The statement "z varies directly with the square of x" can be represented mathematically as z ∝ x². Similarly, "z varies inversely with the cube of y" can be represented as z ∝ 1/y³. Combining these two relationships, we get z ∝ x² / y³. However, we need to find the constant of proportionality to make this relationship precise.

Let's start by finding the constant of proportionality (k) by using the initial values given when x = 8, y = 2, and z = 12. According to the proportionality statement, we have:

z = k * (x² / y³)

Substitute the given values:

12 = k * (8² / 2³)

Solving for k:

k = 12 / (8² / 2³)

k = 12 / (64 / 8) = 12 / 8 = 1.5

Now that we have the constant of proportionality (k), we can find the value of x when y = 1 and z = 24. Again, using the proportionality statement:

z = k * (x² / y³)

Substitute the new values:

24 = 1.5 * (x² / 1³)

Simplify:

24 = 1.5 * x²

Now, isolate x:

x² = 24 / 1.5

x² = 16

Now, take the square root of both sides to find x:

x = √16

x = 4

Therefore, when y = 1 and z = 24, the value of x is 4.

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Answer:

unlikely

Step-by-step explanation:

Answer:

1 to 7

Step-by-step explanation:

The probability of each landing on any of the numbers is 1 to 7

Answer:

131.5

Step-by-step explanation:

To find the area of the rectangle, we multiply the base and the height.

In this case, the base is 8 and the height is 13 I think. ( Your picture cuts it off very poorly)

8 x 13 = 104

Now, we need to find the area of the triangle. It is the same equation as the rectangle but we divide the result by 2.

11 * 5 = 55

55/2 = 27.5

27.5 + 104 = 131.5

If it's wrong, it's probably because of the picture. I can't tell what the height is of the rectangle, because it's certainly not 3.

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Answer:

He wins

Step-by-step explanation:

im not sure sorry not enough details

Area of the patio is -6x² + x + 2 square yards and perimeter of the patio is 6 - 2x yards.

A yard is a unit of measurement used to measure length or distance in both the US customary system and the British imperial system. One yard is equal to 3 feet or 36 inches. In the US customary system, a yard is equal to 0.9144 meters, while in the British imperial system, it is equal to 0.9144 meters or 3 feet. Yards are commonly used for measuring larger distances, such as in construction or landscaping, as well as in some sports like American football and cricket.

The area of the rectangular patio is given by multiplying its length by its width, so the area is:

A = (1 + 2x)(2 - 3x)

Now using distributive property we get,

A = 2 - 3x + 4x - 6x²

Simplifying further, we get:

A = -6x² + x + 2

Therefore, the area of the patio is described by the quadratic equation -6x² + x + 2.

To find the perimeter of the patio, we add up the lengths of all four sides. The length and width are given as (1 + 2x) and (2 - 3x), respectively, so the perimeter is:

P = 2(1 + 2x) + 2(2 - 3x)

Simplifying this expression, we get:

P = 2 + 4x + 4 - 6x

P = 6 - 2x

Therefore, the perimeter of the patio is described by the linear equation 6 - 2x.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

$428, with the sales tax being $28.

Step-by-step explanation:

400 x 7/100 = 28

400+28=428

∆ABC is translated 6 units up and 3 units left to create ∆A'B'C' using the rule (x, y) ⇒ (x - 3, y + 6)

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Rigid transformation are those transformations that do not change the shape or size of a figure such as translation, reflection and rotation. Dilation is not a rigid transformation.

∆ABC is translated 6 units up and 3 units left to create ∆A'B'C' using the rule (x, y) ⇒ (x - 3, y + 6)

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Answer:

ractions division calculator is an online basic math function tool to find what's the equivalent fraction for dividing 8/9 by 2/3. 8/9 ÷ 2/3 = 24/18 as simplified as 4/3 in fraction form. 8/9 ÷ 2/3 = 1.3333 in decimal form.

Step-by-step explanation:

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

\( \Large{\boxed{\sf | \sf z| = \sf \sqrt{40} = 2\sqrt{10} }} \)

\( \\ \)

We are given a complex number in algebraic form, and we would like to find its modulus, |z|.

\( \\ \\ \)

\( \\ \\ \)

Let's recall that a complex number in algebraic form is written as \( \sf z = a + ib \) , where a is its real part and b is its imaginary part.

\( \\ \)

The modulus of said complex number is calculated as follows:

\( \sf | \sf z| = \sqrt{a^2 + b^2} \)

\( \\ \)

\( \hrulefill \)

\( \\ \)

Let's identify our values:

\( \sf z = -2 - 6i \Longleftrightarrow z = \underbrace{\sf -2}_{\sf a} + (\underbrace{\sf -6}_{\sf b})i \)

\( \\ \)

Now, substitute these values into our formula:

\( \sf | \sf z | = \sqrt{(-2)^2 + (-6)^2} = \sqrt{4 + 36} = \boxed{\sf \sqrt{40}} \)

\( \\ \)

While this may be optional, the result can be simplified by using the following property:

\(\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \star \: \sf{\boxed{ \sf Product \: rule \: of \: square \: roots\text{:}}}} \\ \\ \sf{ \diamond \: \sqrt{ab} = \sqrt{a} \times \sqrt{b} } \\ \end{array}}\\\end{gathered} \end{gathered}}\)

\( \\ \)

\( \sf \sqrt{40} = \sqrt{4 \cdot 10} = \sqrt{4} \cdot \sqrt{10} = \boxed{\boxed{\sf 2\sqrt{10}}} \)

\( \\ \)

\( \hrulefill \)

\( \\ \)

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Based on the information in the image, it can be inferred that the difference in the sequences is: A. 5; 29, 34, 39, B. Does not have an exact number in the sequence, C. 2.5; -5, -7.5, -10.

To find the differences in the sequences we must analyze the numbers that make up each of the sequences. Once we have analyzed this information, we must subtract the first number with the second and then subtract the second with the third. In the event that the result is the same, we can affirm that it is a sequence in which the difference is exact.

So the difference in this sequence is 5.

In this sequence there is no exact difference

So the sequence difference is 2.5.

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Answer:3x^3−4x^2+2x+6

Step-by-step explanation:

1).subtract the numbers

2).combine like terms