please help ASAP!!!!!

First term: 8

Last term: 40.5

Growth factor or constant multiplier = 1.5

To solve this problem, we need to find out the factor that each number grows by. Since this is a geometric sequence, we know that multiplication is involved to get from term to term. To find the factor, we can divide any term by the term before it. Doing this, we get:

18/12 = 1.5

To find the first term, we divide 12 by the factor as follows:

12 / 1.5 = 8

To find the last term, we multiply 27 by the factor as follows:

27 * 1.5 = 40.5

The value of the number is 9

From the question, the statement is given as

Three times a certain number plus 6 is equal to twice the number plus 15

Let the number be x

So, we have the following equation

Three times x + 6 = twice x plus 15

Express the statements as numbers

So, we have

3x + 6 = 2x + 15

Collect the like terms

This gives

3x - 2x = 15 - 6

Evaluate the difference

x = 9

Hence, the number is 9

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f < ½ x (300 x h)

f is the number of gallons used

since it was stated that it was less than. we will use the symbol <

Step-by-step explanation:

1. h(1)=|1-7*1|=|-6|=6;

2. h(-7)=|1-7*(-7)|=|50|=50;

3. -h(9)= -|1-7*9|=-|-62|= -62.

ANSWER

-1/2

EXPLANATION

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is,

In the graph, we can take any two points,

Find the slope using the points (0, 4) and (5, 3/2),

Hence, the slope is -1/2.

If the square box is of 1 squre unit then line passes through point (0,3) and (2,1).

The formula for equation of line passing through two point is,

Substitute the values in the equation to obtain the equation of line.

So the equation of line is y=-2x+3.

To write an equivalent unit rate, we have to divide the number of hot dogs by the number of minutes, as follows:

To answer this question, we will have to list the possible combinations for each outcome.

We can'rt have repetitions and we only have integer numbers from 1 to 12.

So, for 4, we would have the possible pairs of 1 and 3 or 2 and 2, but since we don't have repeating numbers, we only can have 1 and 3.

We will need to do this for every number:

Now, the outcome of 4 has onle the possible pair of 1 and 3, so we already know that the first par is 1 and 3.

Since we can't have repetitions, every other pair that has either 1 or 3 can't happen, so:

Now, the outcome of 6 has only one possible pair: 2 and 4. So, we need to exclude any other pair with either 2 or 4:

Now, notice that if we pick the pair 5 and 8 for the outcome 13, both remaining possbile outcomes for 14 would be impossible, because each has either 5 or 8. This means that the outcome 13 can't be 5 and 8, so it has to be 6 and 7, so we can exclue the other pairs with 6 or 7:

This makes the only possible pair for 14 to be 5 and 9, so we can exclude the other pairs with either 5 or 9:

And this leave us with only one possible pair for 20 and 21, which is 8 and 12 and 10 and 11, so we have all pairs:

Solution:

Given the graph of y=f(x):

The translation 3units left is; y=f(x+3) is shown in the graph below:

Verify eact option

Option A

we have

pi/2 > 2

remember that

pi=3.14

so

pi/2=1.57

1.57 > 2 -------> is not true

Option B

we have

pi+8< 11

3.14+8 < 11

11.14 < 11 ------> is not true

Option C

we have

3pi > 9

3(3.14) > 9

9.42 > 9 -------> is true

Option D

we have

2pi-1 < 5

2(3.14)-1 < 5

5,28 < 5 ------> is not true

We have the following:

the domain is the input values and the range the output values, therefore:

now, the range is:

The answer is the option 2

Answer:

Given that,

The parametric equations x=4t and y=t^2

To find the polar form of the parametric equations

Explanation:

we know that,

The polar form of the equation is expressed in terms of r and theta,

The conversion of Cartesian co-ordinate to Polar co-ordinate is given by,

Using this we get,

we have that,

Substitute this we get,

We are going to use the idea of Pythagorean Theorem t

Let:

x = Aiman age

y = Sakeenah age

z = Ahmad age

Aiman is 4 times as old as Sakeenah, so:

Sakeenah is 2 times as old as Ahmad:

Aiman is 14 years older than Ahmad:

Replace (2) and (1) into (3):

Therefore:

So, their total age is:

Answer:

49

Thus, the number of white candies are:

Hence, there are 70 white candies in the bigger bag

Step 1

Given;

Step 2

Solve for y

Answer; Option C

To express a fraction as a percent, divide the numerator by the denominator, then multiply by 100.

7 / 11 = 0.636

0.636 x 100 = 63.6 %

Answer:

A) 63.6 %

From the graph we notice that there are no pattern; when this happens we can't use a linear model to fit the data.

Therefore, there is not a pattern so the data is non-linear and the answer is C.

Corrina, this is the solution:

• Initial weight of the octopus = 5/6 kg

• Weight the octopus gained in two weeks = 3/10 kg

• Weight lost because of the sickness = 1/5 kg

In consequence, the current weight is:

5/6 + 3/10 - 1/5

Least commond denominator = 30

(25 + 9 - 6)/30 = 28/30

Simplifying:

• 14/15 kilograms is the current weight of the octopus

The numerator relates to the x-intercepts:

    (-1,0) means (x+1) is a factor in the numerator.

The denominator relates to the vertical intercepts:

   x = -2 as a VA means (x+2) is a factor in the denominator.

   x = 1 as a VA means (x-1) is a factor in the denominator.

Since the x-intercept crosses and the VA's are "one up, one down", we know these all have odd multiplicities.

So, we think the function could be [tex]r(x) = \dfrac{x+1}{(x+2)(x-1)}[/tex]

Checking the y-intercept with this function
      [tex]r(0)= \dfrac{0+1}{(0+2)(0-1)} = \dfrac{1}{-2}=-\dfrac{1}{2}[/tex]

This checks out.  That's your function: [tex]r(x) = \dfrac{x+1}{(x+2)(x-1)}[/tex]

A farm has 5 brown cows and 10 white cows

Total of cows:

Probability is represented by:

So, the probability of a brown cow escapes:

Note that we can "get rid of" the point (in 0.0009) if we move it four spaces (numbers) to the right. These four spaces amount to the exponent in the Scientific notation. For we're moving to the right, the exponent must be negative. The answer is

C.

We know that 18 feet in real life are 51 inches in the drawing. And we must find hoy many feet are 17 inches

We can write the next equation for the situation

Then, we must solve it for x

Finally, the answer is

17 inches : 6 Feet

Answer:

Step-by-step explanation:

To be considered as a function, every x-value has just only one image or y-value.

The domain of a function is the set of x-values that the function can take and the range is the set of y-values that the function can take.

Therefore, for the given horizontal linear function:

SOLUTION:

Case: Trigonometry

Method:

Step 1: Start with the diagram

From te diagram above, theline representing the altitude sis a perpendicular bisector.

We will aply Pythagoras' therrem to solve the problem ioffindin g 'h'

Step 2:

Final answer:

Given:

To solve for x:

Hence, the solution is x=-5, 5.

Answer:

[tex]x=[/tex] ± [tex]5[/tex]

Step-by-step explanation:

[tex]2x^{2} -50=0[/tex]

[tex]2x^{2} =50[/tex]

[tex]x^{2} =\frac{50}{2}[/tex]

[tex]x^{2} =25[/tex]

[tex]x=\sqrt{25}[/tex]

[tex]x=[/tex] ± [tex]5[/tex]

There are 2 solutions for x: 5 positive and 5 negative. If you square them they result in 25

Hope this helps

Given:

Base of the triangle = 5 cm

Let's find the altitude of the triangle x.

Let's first solve for each base of the triangle:

Here, we have an equilateral triangle.

This means the length of each side of the big triangle is 5 cm.

To find the length of x, apply Pythagorean Theorem:

Where:

a = 2.5 cm

c = 5 cm

Let's solve for b.

Rewrite the equation for b:

Therefore, the length of x is 4.3 cm

ANSWER:

x = 4.3 cm

Given: Four corners of a perpendicular intersection

To Determine: The value of x and the measure of angle m∠ABE

From the given diagram, it can be seen that m∠ABE and m∠DBE are in one of the four corners of the perpendicular intersection.

Also note that all four corners of a perpendicular intersection is a right angle. Therefore:

Hence:

x = 8⁰

m∠ABE = 50⁰

We need to know how the given expression was simplified.

"5 to the fourth power, over 25 = 52":

First, we need to convert 25 into a number with power

5²= 25

Then:

Simplify by subtracting exponents:

Hence, we used the first option method.

The correct answer is the first one.

The Solution:

We are required to solve each of the following logarithmic equations:

a.

b.

Given the equation below:

We are required to express a in terms of x.