Find the common ratio of the geometrie sequence 6, 24, 96,

Answers

Answer 1

Answer:

4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

24/6 = 4

Check by taking the third term and dividing by the second term

96/24 = 4

The common ratio is 4


Related Questions

The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.

(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.

(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?

(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?

Answers

Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?

one fifth
10
25
35

Answers

35 is a reasonable prediction of the number of times he will select 2 yellow socks?

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

What is event?

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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find the radius of a circle whose area is 28½cm²​

Answers

Answer: 3 cm

Step-by-step explanation:

The formula for the area of a circle is A = πr², where A is the area and r is the radius. We are given that the area of the circle is 28½ cm².

So, 28½ = πr²

We need to solve for r. Dividing both sides by π, we get:

r² = 28½/π

r² = 9

Taking the square root of both sides, we get:

r = 3√1 = 3 cm

Therefore, the radius of the circle is 3 cm.

Find the solution of 5/2x - 7 = 3/4x + 14

What is equal to x?

Answers

Answer:

Ameliorate retort, pertaining to preceding albeit contingent interrogate proximates subject to x = 12.

Step-by-step explanation:

Availing, exploiting, albeit maneuvering the Mathematic convention, Order of Operations (OO), the contiguous albeit proximate equation may ascertain as the preeminent imminent:

Groups: Not identified.

Exponents: Not identified, disparaging ₁.

Multiplication: Derived, pertaining to subtraction, 4 · (7/4x) = 4 · 21  7x = 84

Division: Derived, pertaining to multiplication, 7x = 84 ⇒ x = 12

Addition: Aggregate constants ⇒ 5/2x = 3/4x +21

Subtraction: Abate algebraic groups ⇒ 7/4x = 21

complete the square to solve x^2+7x+2=0

Answers

Answer:

\(\frac{-7 ±\sqrt{41}}{2}\) (Ignore the little A thing)

Step-by-step explanation:

x * x + 7x + 2 = 0

0 - 2 = -2

x * x + 7x = -2

 -1  ±√41/2


Show that the following points are the vertices of a square
(2, 2), (-2, 2), (-2,-2), (2,-2)

Answers

Check the picture below.

notice, sides are equal, opposite sides are perpendicular to their counterparts.

Show that the following points are the vertices of a square(2, 2), (-2, 2), (-2,-2), (2,-2)

How are you suppose to simplify a^-n ?

Answers

Answer:

1/a^n

Step-by-step explanation:

To simplify, you remove the negative by "flipping" what side it is on.

a^-n/1  -> 1/a^n

Answer:

\(\frac{1}{a^n}\)

Step-by-step explanation:

\(a^{-n}\)

You would apply exponent rule which is \(a^{-b}=\frac{1}{a^b}\):

\(=\frac{1}{a^n}\)

Regines father is given a yearly increase in salary of 15%. How much is he receiving now if he's salary 2 years ago was 25250

Answers

Regine's father is currently receiving a salary of 29037.50.

What is percentage increase?

A percentage increase in mathematics is the proportion by which a quantity or value has grown in comparison to its initial value. It is computed by subtracting the original value from the new value, multiplying the result by 100, and then subtracting the difference between the two values. The percentage increase formula is:

(new value - original value) / 100% of the original value is the percentage increase.

The yearly increase is 15%, thus:

salary increase = 25250 x 0.15 = 3787.50

The current salary is:

current salary = salary from two years ago + salary increase

current salary = 25250 + 3787.50

current salary = 29037.50

Hence, Regine's father is currently receiving a salary of 29037.50.

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Help 100 points to answer the page

Help 100 points to answer the page

Answers

Answer:

Use trigonometry

sine = opposite leg / hypotenusecosine = adjacent leg / hypotenusetangent = opposite leg / adjacent leg#123/x = sin 68x = 23 / sin 68x = 24.8

Choice A

#221/x = tan 26x = 21/ tan 26x = 43.1

Choice D

Note. All numbers below are rounded to the nearest tenth#312/x = sin 53x = 12 / sin 53x = 15.0#48/x = tan 34x = 8/tan 34x = 11.9#5x/ 12 = cos 26x = 12 cos 26 x = 10.8#6x / 13 = sin 34x = 13 sin 34x = 7.3#7x / 18 = sin 53x = 18 sin 53 x = 14.4#8x / 10 = tan 30x = 10 tan 30 x = 5.8#9cos X = 21/35 = 3/5#10tan X = 32/24 = 4/3

Answer:

the person above me is correct i said that because i did the math and solved it

Step-by-step explanation:

3/4 minus 7/16. In factions

Answers

Answer:

What is the question sir

Step-by-step explanation:

Diane plans to arrive 30 minutes early on Friday. What time does she plan to arrive?
*

7:00 A.M.
8:30 A.M.
8:00 A.M.
6:30 A.M.
7:30 A.M.

Diane plans to arrive 30 minutes early on Friday. What time does she plan to arrive?*7:00 A.M.8:30 A.M.8:00

Answers

Diane plans to arrive at 7:30 A.M.

What is time ?

Time is a notion that is used to quantify the length and progression of occurrences. It is a key aspect of how things work and can be expressed in terms of hours, minutes, seconds, and other time intervals. Time helps us schedule, coordinate, and comprehend the sequence of events in our daily lives. It also enables us to arrange and synchronize activities.

If we take the assumed intended arrival time of 8:00 A.M. and deduct Diane's anticipated arrival time of 30 minutes, we get the intended arrival time.

Therefore, Diane plans to arrive at 7:30 A.M.

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Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.

Answers

The variance of Billy's grades obtained from his test scores is 15.76

What is variance?

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

The variance is therefore; 78.8/5 = 15.76

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determine the discount between the point(-4,2) and the line 4y=3×+6​

Answers

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

Evaluate. 5^3−(64÷8)+10^2 Enter your answer in the box.

Answers

Answer:

217

Step-by-step explanation:

\( {5}^{3} - (64 \div 8) + {10}^{2} \\ 125 - (64 \div 8) + {10}^{2} \\ 125 - 8 + {10}^{2} \\ 125 - 8 + 100 \\ 225 - 8\)

\( \boxed{\bold{Answer:{\boxed{\green{\bold{= 217}}}}}}\)

Can an opposite and an absolute value of an integer be the same?

Answers

Yes and opposite and an absolute value of an integer will be the same.

On a 1 mile track, Runner A has made 18 laps in the time it took Runner B to make 8 laps. If Runner A is running 5 mph faster than Runner B, how fast is each of them running?

Answers

Answer:

Runner A is running at 9 mph while runner B is running at 4 mph

Step-by-step explanation:

From online values, 4 laps make 1 mile.

We are told Runner A has made 18 laps in the time it took Runner B to make 8 laps.

This means that runner A has run in mile; 18/4 = 4.5 miles

While runner B has run in miles; 8/4 = 2 miles

Runner A is running 5 mph faster than Runner B, thus speed of runner A is;

V_b + 5 while speed of runner B is V_b.

We know that; time = distance/speed

Thus;

t_a = 4.5/(V_b + 5)

t_b = 2/V_b

Since the times are equal from the question, then;

4.5/(V_b + 5) = 2/V_b

Cross multiply to get;

4.5V_b = 2(V_b + 5)

4.5V_b = 2V_b + 10

4.5V_b - 2V_b = 10

2.5V_b = 10

V_b = 10/2.5

V_b = 4 mph

Since V_a = V_b + 5

Thus, V_a = 4 + 5 = 9 mph

Runner A is running at 9 mph while runner B is running at 4 mph

The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 900lbs. Find the probability that the weight of a randomly selected steer is between 1220 and 1320lbs. Round your answer to four decimal places.

Answers

Answer:

0.0369

Step-by-step explanation:

normalcdf (1220,1320,900,200) is 0.0369

Juliet has a choice between receiving a monthly salary of ​$1900 from a company or a base salary of ​$1800 and a ​5% commission on the amount of furniture she sells during the month. For what amount of sales will the two choices be​ equal?

Answers

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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I'm begging for help. This is the third time i've posted this, and I'm so confused. I don't understand how to use this chart to get the fractional inches. I really need help, please help. :(

I'm begging for help. This is the third time i've posted this, and I'm so confused. I don't understand
I'm begging for help. This is the third time i've posted this, and I'm so confused. I don't understand

Answers

Answer:

yes, I am pretty sure you do .122 as 1/8 and you keep doing that. I am pretty sure :)

Step-by-step explanation:

Also could you please give me brainliest?

Answer:

was popping. Free points right

Step-by-step explanation:


Saturday Sunday
Minutes
32
Miles
3
4
I

Answers

it’s droopy dog B homie it’s B

1
James purchases a rare coin for $450. The coin appreciates at a rate of 1.2% each year. How much will the coin be worth after 25 years?

Answers

Answer: $585

Step-by-Step Explanation:

Price of Rare Coin = $450
Rate at which it appreciates = 1.2%
Price of Rare Coin after 25 years = ?

Therefore,
= 1.2 * 25 = 30%

Hence, price of coin after 25 years:
= (30/100 * 450) + 450
= 135 + 450
= 585

Therefore,
The coin would cost $585 after 25 yrs.

Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3 ​

Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3

Answers

Answer:

your answer is correct

Step-by-step explanation:

4b² + 8b + 3

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.

product = 4 × 3 = 12 and sum = + 8

The factors are 2 and 6

Use these factors to split the b- term

4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )

= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term

= (2b + 1)(2b + 3)

If a cube has volume 125cm³, find the height of the cube.​

Answers

Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

Classify the following polynomials. Combine like terms first. PLEASE ANSWER I'm really confused. :(
2x-x2+4x+x2
x3-5x2+3-2
x3-x3+x2-x2+3
7x-x2+x3+4x2
-6x-x3+6x-4x

Quadratic monomial
Quadratic binomial
Quadratic trinomial
Cubic monomial
Cubic binomial
Cubic trinomial
Linear monomial
Constant monomial

Answers

5−33−32+39+3

Not sure?

The cooling system in a nuclear submarine consists of an assembly of welded pipes through which a coolant is circulated. Specifications require that weld strength must meet or exceed 150 psi. Based on a random sample of 20 welds, the design engineers decide to test the null hypothesis stating that the mean weld strength is 150 psi versus the alternative hypothesis stating that the mean weld strength exceeds 150 psi. Assuming that the weld strength is normally distributed, one would reject the null hypothesis at a significance level of 0.05 when the test statistic exceeds [ ]. Please keep THREE digits past the decimal point. _____________
In the same context as Question 1, the random sample of 20 welds results in a mean weld strength of 153.7 psi, with a sample standard deviation of 11.3 psi. What is the p-value of this upper-tailed test? Please keep THREE digits past the decimal point. _____________

Answers

The p-value of this upper-tailed test is 0.05 and failed to reject.

The cooling system in a nuclear submarine consists of an assembly of welded pipes through which a coolant is circulated.

Specifications require that weld strength must meet or exceed 150.

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 150

Alternative Hypothesis, Ha: μ > 150

Rejection Region

This is right tailed test, for \(\alpha\) = 0.05 and df = 19

Critical value of t is 1.729.

Hence reject H0 if t > 1.729

Test statistic,

t = (x - μ ) / \(\frac{s}{\sqrt{n} }\)

t = (153.7 - 150) / \(\frac{11.3}{\sqrt{20}}\)

t = 1.464

P-value Approach

P-value = 0.080

As P-value ≥ 0.05, fail to reject null hypothesis.

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The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.

What was the previous water level?

A. -18.5
B. -9.9
C. -4.9
D. -4.3

Note: I think it is -4.9. If you have the actual right answer please leave it down below. Thanks.

Answers

Answer:

I also believe it is -4.9 but I may be mistaken

Step-by-step explanation:

Los puntos A(13, a) y B (4,b) pertenecen a una parábola de vértice V (h, 1) Además el eje focal es paralelo al eje de las abscisas ,su parámetro es p y A, B están
contenidos en la recta 2x - y - 13 = 0. Hallar a" + bP.

Answers

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

How to calculate parameters?

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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The Sine Function

The average number of customers per day at a home improvement store is given in the following table. The sine regression equation was found to be y = 29.882sin (0.887 x 1.271) + 85.635, where x represents the day where 1 = Sun of the week, 7 = Sat of the first week, 8 = Sun of the second week, and 14 = Sat of the second week. Use this model to predict the average number of customers on Tuesday. Round to the nearest customer.

a. 70
b. 67
c. 71
d. 64

Please select the best answer from choices provided

The Sine FunctionThe average number of customers per day at a home improvement store is given in the

Answers

Answer:

D. 64

Step-by-step explanation:

I calculated it logically

Answer For Brainliest

Answer For Brainliest

Answers

Answer:

the answer is D

Step-by-step explanation:

algebra domain and range please help

algebra domain and range please help

Answers

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

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