For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, include all of your work.
{-4, 12, -36, ...}

0.025 milliliters is equal to 0.025 cubic centimeters and 0.000025 liters. The conversion is based on the fact that 1 milliliter is equivalent to 1 cubic centimeter, and there are 1000 milliliters in 1 liter.

To convert 0.025 milliliters to cubic centimeters (cm³) and liters (L), we need to understand the relationships between these units.

Cubic Centimeters (cm³):

Since 1 milliliter is equivalent to 1 cubic centimeter, 0.025 milliliters is equal to 0.025 cubic centimeters.

Liters (L):

There are 1000 milliliters in 1 liter. Therefore, to convert milliliters to liters, we divide the volume in milliliters by 1000.

0.025 milliliters ÷ 1000 = 0.000025 liters.

In summary, 0.025 milliliters is equivalent to 0.025 cubic centimeters and 0.000025 liters.

The question probable may be:

What would be the value of 0.025 milliliters in cm^3 and also in L.

0.025 milliliters is equivalent to 0.025 cubic centimeters because 1 milliliter equals 1 cubic centimeter. Also, 0.025 milliliters is equal to 0.000025 liters as there are 1,000 milliliters in a liter.

The student's question is: 0.025 milliliters is the same as how many cubic centimeters (cm3) and liters (L). This is a conversion problem involving units of volume. From the provided information, we understand that 1 milliliter (mL) is exactly equal to 1 cubic centimeter (cm3). Therefore, if the student has 0.025 mL, this is directly equivalent to 0.025 cm3 because the conversion factor between mL and cm3 is 1.

Furthermore, recalling that 1 liter is equal to 1,000 milliliters, and since we are given a volume in milliliters, we can convert this to liters by dividing by 1,000. Consequently, 0.025 mL is equal to 0.025 / 1,000 L, which simplifies to 0.000025 L.

Answer: the answer is B

Step-by-step explanation:

The equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a small toy car costs $3. A large toy car costs 5 times as much as the small one.

The equation can be written as:-

a = $3 + ( 5 x $3 )

Therefore, the equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.

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What does this quote tell us about the media’s influence during the Nixon investigation?
 
"We saw the public man in his first administration, and we were impressed. Now in about 300,000 words we have seen the private man, and we are appalled." – Clayton Kirkpatrick, editor of the Chicago Tribune, a newspaper that published the entire transcript of Nixon’s released communications

  A. The media shared real evidence and their opinions on it, which probably influenced citizen opinion.  B. The media disapproved of the president’s private actions but still supported and re-elected him. C.The media rallied behind the president because of his great record during his first term in office. D. The media could not publish or discuss real evidence related to the president or the investigation. please help me.

the answer for u is 

2 hours=120 minutes
You simply just do 120/100=1.2
So the answer is B. 1.23 or 1.2 (rounded) per minute

Answer:

The range of the function is (-∞,3)

B is correct.

Step-by-step explanation:

Given: [tex]f(x)=-2(6)^x+3[/tex]

It is an exponential function which coefficient is negative.

Exponential function: [tex]f(x)=ab^x+c[/tex]

If a>0 then range (c,∞)

If a<0 then range (-∞,c)

[tex]-2(6)^x+3\rightarrow ab^x+c[/tex]

[tex]a=-2[/tex]

[tex]c=3[/tex]

Range: (-∞,3)

Hence, The range of the function is (-∞,3)

Answer:

You'll have 112 blood homies left

240b-128b=112b

112

Answer:

h = 400 + 3.1(n - 1)

Step-by-step explanation:

this is an arithmetic sequence so instead the answer would be

h = 400 + 3.1(n - 1)

where h is the height of the tree after n weeks

Final answer:

The perimeter of ΔXYZ is 25 units and the area of ΔXYZ is 40 square units.

Explanation:

In this problem, we are given that ΔABC has side lengths of 10 units, 20 units, and 24 units, and ΔXYZ is similar to ΔABC. We are also given the length of the longest side of ΔXYZ as 60 units. To find the perimeter of ΔXYZ, we need to add up the lengths of all its sides. Since the longest side of ΔABC is 24 units, and the longest side of ΔXYZ is 60 units, we can set up the following proportion:

24/10 = 60/x

Cross-multiplying gives us:

24x = 600

x = 600/24 = 25 units

Therefore, the perimeter of ΔXYZ is 25 units.

Now, to find the area of ΔXYZ, we can use the proportional relationship between the areas of similar triangles. Since the ratio of the longest sides is 60/24 = 5/2, the ratio of the areas will be (5/2)^2 = 25/4. Since the area of ΔABC is 1/2 times the base times the height, we can use the same formula for ΔXYZ with the corresponding measurements:

Area of ΔXYZ = (1/2) * 10 * 8 = 40 square units

Answer:

1) Angle 4 and angle 8.

2) c. Congruent to.

3) a. Angle 2 and angle 5.

Step-by-step explanation:

1) When a transversal cuts the shown parallel lines, the angles that are in the same relative position are call correponding angles.

2) Angle 2 and 8 are Alternal internal angles, therefore they are congruent.

3)  Angle 2 and angle 5 are on one side of the transversal, therefore, they are same-side interior angles.

The solution to the equation is [tex]x = \frac{3}{4}[/tex] .

We start by rewriting the equation:

4x-7+7x=3x-1

Combine the x terms on the left side:

11x - 7 = 3x - 1

Isolate the x terms on one side of the equation. To do this, we’ll move the 3x term from the right side to the left side by subtracting 3x from both sides:

11x - 3x - 7 = -1

Simplify:

8x - 7 = -1

Add 7 to both sides to get rid of the constant term on the left side:

8x = 6

Divide both sides by 8 to find the value of x:

[tex]x = \frac{6}{8} = \frac{3}{4}[/tex]

Therefore, the solution to the equation is [tex]x = \frac{3}{4}[/tex] .

Answer:

46, i did the assignment on edge   hope this helps!   :)

Step-by-step explanation:

On a coordinate plane, quadrilateral D G A R is shown. Point G is at (negative 8, 3), point A is (4, 8), point R is at (10, 0), and point (negative 2, negative 5).

A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden.

The perimeter of his garden is  meters. 46

The Perimeter of garden as shown in the quadrilateral 46 units

The distance between two points is the amount of space between the points. From the quadrilateral:

[tex]AG=\sqrt{(8-3)^2+(4-(-8))^2}=13 \ units\\\\AR=\sqrt{(8-0)^2+(4-10)^2}=10 \ units\\\\GD=\sqrt{(-5-3)^2+(-2-(-8))^2}=10 \ units\\\\RD=\sqrt{(-5-0)^2+(-2-10)^2}=13 \ units\\[/tex]

Perimeter of garden = AG + AR + GD + RD = 13 + 10 + 13 + 10 = 46 units

The Perimeter of garden as shown in the quadrilateral 46 units

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(160 * 243)^1/5

To simplify the above expression first step is to factor the numbers. Therefore,

[tex] (160*243)^{\frac{1}{5}} = ((2*2*2*2*2*5)*)(3*3*3*3*3)^{\frac{1}{5}} [/tex]

=[tex] (2^5*5*3^5)^{\frac{1}{5}} [/tex]

= [tex] (2^5)^{\frac{1}{5}} *(5)^{\frac{1}{5}} *(3^5)^{\frac{1}{5}} [/tex]

=[tex] 2 * (5)^{\frac{1}{5}} *3 [/tex]

= [tex] 6*(5)^{\frac{1}{5}} [/tex]

= [tex] 6\sqrt[5]{5} [/tex]

So, correct choice is A.

For this case we have the following polynomial:

[tex] 0 = x ^ 2 + 8x + 15
[/tex]

We can rewrite the polynomial by factoring the expression.

We have then:

[tex] (x + 3) (x + 5) = 0
[/tex]

From here, we look for the solutions of the polynomial.

We have then:

Solution 1:

[tex] x + 3 = 0

x = -3
[/tex]

Solution 2:

[tex] x + 5 = 0

x = -5
[/tex]

Answer:

The solutions of the polynomial are given by:

[tex] x = -3

x = -5 [/tex]

Final answer:

The inverse of the formula A = πr^2 is found by dividing the area A by π and then taking the square root of the resulting quotient, which gives r = √(A/π). The accuracy of this inverse is limited by the number of significant figures in the original measurement of the radius.

Explanation:

To find the inverse of the formula A = πr^2 for the area of a circle, we want to solve for the radius r in terms of A. We follow these steps:

Starting with A = πr^2, divide both sides of the equation by π to isolate r^2: A/π = r^2.

Take the square root of both sides of the equation to solve for r: r = √(A/π).

The inverse is therefore r = √(A/π).

When using a calculator, it is important to remember that the number of significant figures in a given measurement limits the accuracy of the calculations. As shown in the example, if the radius has two significant figures, the calculated area has to be limited to two significant figures as well, thus A=4.5 m².

Answer

10.5

Step-by-step explanation:

The other answer is correct until solving for C.  f(-3) = 6, not -6.  So C = 21/2.  This makes f(0) = 10.5.  Local Max should occur at x intercepts on the f'(x) graph.

Answer: 10.5

Step-by-step explanation: The other answer is correct until solving for C.  f(-3) = 6, not -6.  So C = 21/2.  This makes f(0) = 10.5.  Local Max should occur at x intercepts on the f'(x) graph. A fraction is a number that shows how many equal parts there are. When we write fractions, we show one number with a line above (or a slash next to) another number. For example, 14, 1⁄4 and 1/4.are different ways of writing the same fraction (in this case a quarter). The top number tells us how many parts there are, and the bottom number tells us the total number of parts. The top part of the fraction is called a numerator. The bottom part of the fraction is called a denominator. For example, for the fraction 14 the 1 is the numerator, and the 4 is the denominator.

Answer:

The center of circle is [tex](0,0)[/tex]

Step-by-step explanation:

We need to find the center of the circle of the equation [tex]x^{2}+y^{2}=4[/tex]

Since, the general equation of circle is [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

Where (h,k) is center of circle and r is radius.

Re-write the circle equation is [tex]x^{2}+y^{2}=4[/tex] as,

[tex]x^{2}+y^{2}=2^{2}[/tex]

Compare [tex]x^{2}+y^{2}=2^{2}[/tex] with [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

so, [tex](x-0)^{2}+(y-0)^{2} = 2^{2}[/tex]

Hence, the center of circle is [tex](0,0)[/tex]

The answer is D. t=4/5w; 4/45