help pls! example is not needed

to divide by a fraction, you multiply by the reciprocal which just means reversing the fraction. so 8/ 1/3 is the same as 8 x 3.

SOLUTION

We were given the geometric sequence 16, 24, 36, 54 and we are told to find

This means to find the sum of the first 12 terms.

From the sequence

Sum of a geometric sequence is given as

So, we have

Hence to the nearest whole number, the answer is 4,120 second option

Answer:

9

Step-by-step explanation:

You know AB=CB because all 3 arcs are equal, therefore:

5x + 8 = 53

5x = 53 - 8

5x = 45

x = 45/5 = 9

Answer: Yes, there are congruent.

Step-by-step explanation: A triangle is congruent if the same shape and size. In this figure, they're congruent.

Answer: S and T.

Step-by-step explanation:

I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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The above expression in terms of 8n can be written as 8(0).

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression.

We are given a an expression (8-8)(8³)

Now the first bracket after simplifying we get an answer is 0.

Hence the expression can be given in the form of 8(n) as 8(0)

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Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

Step-by-step explanation:

Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

Step-by-step explanation:

Answer:

the simple interest in both cases is 200 and 756 respectively

Step-by-step explanation:

The computation of the simple interest is shown below:

As we know that

Simple interest = P × r% × t

So

a. Simple interest is

= 2,500 × 8% × 1

= 200

b. The simple interest is

= 4,200 × 6% × 3

= 756

Hence, the simple interest in both cases is 200 and 756 respectively

The percent increase when \($x$\) increases by one unit is approximately 15.8%.

What is exponential function?

An exponential function is a mathematical function of the form:

\(f(x) = a^x\)

where a is a constant greater than zero and not equal to 1, and x is the variable that takes on real numbers.

To find the percent increase for the exponential function \($A = 82\times 1.16^x$\), we need to find the ratio of the final value to the initial value, subtract one, and then multiply by 100 to convert to a percentage.

Let's suppose we are interested in finding the percent increase when \($x$\) increases by one unit. We can start by calculating the initial value of \($A$\) when \($x = 0$\):

\($$A = 82 \times 1.16^0 = 82$$\)

Then we can calculate the final value of \($A$\) when \($x = 1$\):

\($$A = 82 \times 1.16^1 \approx 95.12$$\)

Now we can find the ratio of the final value to the initial value:

\($\text{ratio} = \frac{\text{final value}}{\text{initial value}} = \frac{95.12}{82} \approx 1.158$$\)

Next, we subtract one and multiply by 100 to get the percent increase:

\($$\text{percent increase} = (\text{ratio} - 1) \times 100 \approx (1.158 - 1) \times 100 \approx 15.8%$$\)

Therefore, the percent increase when \($x$\) increases by one unit is approximately 15.8%.

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Answer:

W=5

Step-by-step explanation:

-4(w+1}=-24

-4w-4=-24

-4w=-20

w=5

Answer:

its 5

Step-by-step explanation:

i got i correct ;)

Answer:

A is your answer

Step-by-step explanation: B is wrong because if it was -6 then it would equal -216

Answer:

-20 x^6

Step-by-step explanation:

(4x)(-x^2)(5x^3)

Multiply the numbers

4*-1 *5 = -20

Add the exponents

x^1 * x^2 * x^3

x^(1+2+3)

x^6

Multiply back together

-20 x^6

Answer:

The answer is

Step-by-step explanation:

(4x )( - x²)(5x³)

Expand the terms

That's

-4x³( 5x³)

Next multiply the numbers

That's

- 20( x³)(x³)

Using the rules of indices multiply the x's in the expression

That's

So we have

We have the final answer as

Hope this helps you

Answer:

y ≤ 45

Step-by-step explanation:

First y must be less than or equal to 45.

y ≤ 45 x + y  ≤  80

And total number of reservations cannot exceed 80:

x + y  ≤  80.

Answer:

y = 5x-14

Step-by-step explanation:

We should use point-slope form to form our equation:

y-1 = 5(x-3)

y-1 = 5x-15

y = 5x-14

Our equation is now in slope-intercept form.

HTH :)

Answer:

1. This study uses blocking to reduce variability from known factors.

2. This study uses random sampling.

Step-by-step explanation:

Hope it helps!

The probability that the pin is red is 0.4. The probability that the pin is white is 0.6, or 60%.

To find the probability that the pin is white, we need to consider that there are only two possible outcomes: red or white. If the probability of the pin being red is 0.4, then the probability of the pin being white can be found by subtracting the probability of it being red from 1.

Let's denote the probability of the pin being white as P(white). We know that P(red) = 0.4. Since there are only two options (red or white), we have:

P(white) = 1 - P(red)

P(white) = 1 - 0.4

P(white) = 0.6

Therefore, the probability that the pin is white is 0.6, or 60%.

This means that out of all the pins in the box, there is a 60% chance that a randomly selected pin will be white. The probability is calculated based on the assumption that each pin has an equal chance of being selected and that the selection process is random.

It's important to note that the sum of the probabilities for all possible outcomes must always be equal to 1. In this case, P(red) + P(white) = 0.4 + 0.6 = 1, which confirms that our probabilities are valid.

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Answer:

first option

Step-by-step explanation:

the standard form of a quadratic function is

f(x) = ax² + bx + c ( a ≠ 0 )

the only function in this form from the list is

f(x) = - 5x² - 3x + 9

Answer:

f(x) = -5x² - 3x +9

Step-by-step explanation:

The standard form of a quadratic function is: f(x) = ax² + bx + c

The intercept form of a quadratic function is:  f(x) = a(x - p)(x - q)

The vertex form of a quadratic function is:  f(x) = a(x - h)² + k

(when a ≠ 0)

Therefore:

f(x) = -5x² - 3x +9

f(x) = -5(x + 4)(x - 2)

f(x) = 2x - 8

f(x) = -5(x - 1)² + 6

Answer:

192

Step-by-step explanation:

Volume of triangular prism = area of base * length

The base of the triangular prism is a triangle

The area of a triangle can be calculated by multiplying the base length by the height and dividing that by 2

The base has a base length of 4m and a height of 8m

So area of base = \(\frac{4*8}{2}\)

4 * 8 = 32

32 / 2 = 16

So the area of the base is 16m²

The prism has a length of 12m and we have identified that the area of the base is 16 so volume = 12 * 16

12 * 16 = 192

So the volume of the triangular prism is 192m³

Answer:

192 m^3

Step-by-step explanation:

V = 1/2 * 4 * 8 *12

V = 1/2 * 384

V = 192

Hope this helps!

Answer:

3 units

Step-by-step explanation:

The annual percent change in the population of town C will be 16.9

From the formula for the annual increase in population, we have

A = P( 1 + r/100 )n

Where, A = new population

r = rate of increase in the population per annum

n = number of years

Since, from the question, we have

n = 7

A = 3P

Therefore,

3P = \(P( 1+ r/100 )^{7}\)

Or, 3 = \(P( 1+ r/100 )^{7}\)

31/7 = 1 + r/100

1.169 = 1 + r/100

0.169 = r/100

r = .169 x 100 = 16.9

Therefore, the annual percent change in the population of town c is 16.9

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Answer:

The answer to this question is 48 feet

Step-by-step explanation:

You would see that 1 inch is 3 feet then you would multiply 3 and 16 to receive 48

The limits along different paths are not the same, the limit of the function as (x, y) approaches (0, 0) does not exist.

To find the limit of the function, we can approach (0, 0) along different paths and see if the function approaches the same value.

Let's first approach (0, 0) along the x-axis by setting y = 0:

lim xy^4 /(x^2 +y^8 ) as (x, y) approaches (0, 0) along x-axis

= lim x*0^4 /(x^2 +0^8 )

= lim 0 /(x^2 )

= 0

Now let's approach (0, 0) along the y-axis by setting x = 0:

lim xy^4 /(x^2 +y^8 ) as (x, y) approaches (0, 0) along y-axis

= lim 0*y^4 /(0 +y^8 )

= lim 0 /(y^4 )

= DNE (does not exist)

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Since I like hot weather, I would rather go to Rome with a temperature 27-degree c than to Majorca with an average temperature of 80F.

The temperature is converted from Celsius to Fahrenheit using this formula. Scales of temperature offer a means of determining how warm or frigid a body is. Temperature scales include Celsius and Fahrenheit. The Formula of celsius to Farhenhite is  F= 9/5×C+ 32.

To compare the temperatures of both the places, we will first convert them to similar Units so that the comparison becomes easy. We will Change both the units to the Farhenhite unit as follows.

The temperature of Rome:

F = 9/5×27+32

F= 80.6

Therefore the temperature of Majorca is 80F and that of Rome is 80.6. More temperature means more hot weather. Therefore Roma will be hotter in August than Majorca.

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The correct statement that establishes the identity is C. cot²x + csc²x = cot²x + (1 - cot²x) = 1 + 2cot²x. This statement demonstrates the correct simplification of the left-hand side to match the right-hand side, thus establishing the identity.

To verify the identity cot²x + csc²x = 1 + 2cot²x, we can simplify both sides of the equation and see if they are equal.

Starting with the left-hand side (LHS):

cot²x + csc²x

Using the reciprocal identities, we can rewrite csc²x as (1 + cot²x):

cot²x + (1 + cot²x)

Combining like terms, we get:

2cot²x + 1

Now, comparing this with the right-hand side (RHS), which is 1 + 2cot²x, we see that both sides are equal.

Therefore, the correct statement that establishes the identity is:

C. cot²x + csc²x = cot²x + (1 - cot²x) = 1 + 2cot²x

This statement demonstrates the correct simplification of the left-hand side to match the right-hand side, thus establishing the identity.

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The solution to the system is:

(x, y) = (2.236, 1), (-2.236, 1), (2.236, -1), or (-2.236, -1).

This represents two equations hyperbola and ellipse which intersect at exactly 4 points.

The system of equations, as follows:

3x² + y² = 16

x² - y² = 4

We can solve this system of equations by substitution.

Starting with the first equation, we can isolate y²:

y² = 16 - 3x²

Substituting that into the second equation, we get:

x² - (16 - 3x²) = 4

Expanding the right side:

x² - 16 + 3x² = 4

4x² = 4 + 16

4x² = 20

Dividing both sides by 4:

x² = 5

Taking the square root of both sides:

x = ±√5 = ± 2.236

With x found, we can substitute it back into the expression for y²:

y² = 16 - 3x²

y² = 16 - 3(√5)²

y² = 16 - 3(5)

y² = 16 - 15

y² = 1

Taking the square root of both sides:

y = ±1

So the solution to the system is:

(x, y) = (2.236, 1), (-2.236, 1), (2.236, -1), or (-2.236, -1)

This means the two equations are hyperbola and ellipse which intersect at exactly 4 points.

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Answer:

a=5/9r

Step-by-step explanation:

if the proportion of body height and arm height is 5 to 9, that would be the proportion of the

The correct classifications are:

The point where two line meets or intersects is known as an angle.

From the diagram shown, we can see that line p is parallel to q, this shows that:

Since <1 = <3, hence:

<1 = <8 (vertically opposite)

Since < 2 = <4

<2 = <4 = <7 (vertically opposite)

Note that the angle formed from the intersection of two lines that form X are vertically opposite angles

Corresponding angles are equal based on the geometry of the parallel lines

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