Jayden’s new puppy weighed 11 and one fourth pounds at 4 weeks old. At four weeks, the puppy weighed three fifths times as much as at 16 weeks. Which equation can be used to find how much Jayden’s puppy weighs at 16 weeks old

Answers

Answer 1

Answer:

Step-by-step explanation:

Weight of the puppy at 4 weeks old:

$\large{11 (1)/(4) }$ pounds = $\large{ (45)/(4) }$ pounds

This weight is 3/5th times of the weight of puppy in 16 weeks. Let's assume the weight of puppy in 16 weeks be x. Then, 3/5th of x is 45/4 pounds.

Inequationform,

$\boxed{ \large{(3)/(5) x = (45)/(4) }}$

Multiplying 5/3 both sides to isolate x on LHS,

$\large{x = (45)/(4) * (5)/(3) }$

$\large{x = (75)/(4) = 18.75}$ pounds

The equation used for finding the weight of puppy is 3x/5 = 45/4. And Jayden's puppy weighed 18.75 pounds in 16 weeks.

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After t sec. a ball tossed in the air from ground level reaches a height of h feet given by the equation: h=144t-16t^2a. what is the height of the ball after 3 sec.? 288 ft.b. what is the maximum height the ball will reachc. find the number of seconds the ball is in the air when it reaches 224 ft in heightd. after how many sec. will the ball hit the ground before rebound?I am not sure which equation to use and why for the b,c,and d. If I find the ft/sec. that the ball travels (96), and set the quadratic equation to -16t^2+144t+288 or 16t^2-144t-288=0, is this correct? Or should I use the quad formula and why.

the population of a colony of cells is growing so that it will triple every hour. suppose the current population is 200 cells. how many hours ago was there only one cell?

Answers

I believe that the answer to the question provided above is that after 66.67 hours the population of the colony cell has reached to 200.
Hope my answer would be a great help for you. If you have more questions feel free to ask here at Brainly.

Easy - lots of points!!
For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)

Answers

Answer:

2x² + 9x + 9

Step-by-step explanation:

To evaluate f(x + 3) substitute x = x + 3 into f(x), that is

f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL

= 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis

= 2x² + 12x + 18 - 3x - 9 ← collect like terms

= 2x² + 9x + 9

Answer: f(5) = 14 should be the answer

Assume that women's heights are normally distributed with a mean given by u = 64.3 in, and a standard deviation given by 0 = 2.7 in. (a) f 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) if 43 women are randomly selected, find the probability that they have a mean heightless than 65 in. (a) The probability is approximately I. (Round to four decimal places as needed.) 4

Answers

Answer:

0.9533

Step-by-step explanation:

(a) Probability that a randomly selected woman's height is less than 65 inches:

Using the z-score formula:

�

−

�

X−μ

Where:

�

X = 65 inches

�

μ = 64.3 inches

�

σ = 2.7 inches

�

−

64.3

2.7

≈

0.2593

2.7

65−64.3

≈0.2593

Now, find the probability associated with this z-score, which is approximately 0.6010 (rounded to four decimal places).

(b) Probability that the mean height of 43 randomly selected women is less than 65 inches:

Using the Central Limit Theorem:

�

μ (mean of the sample means) remains 64.3 inches.

�

sample mean

(standard deviation of the sample means) is calculated as

2.7

≈

0.4115

2.7

≈0.4115.

Now, find the z-score for a sample mean of 65 inches:

�

−

64.3

0.4115

≈

1.6924

0.4115

65−64.3

≈1.6924

The probability associated with this z-score is approximately 0.9533 (rounded to four decimal places).

13. A factory produces 500,000 nails per day. The manager of the factory estimates that there are less than 1,500 misshapen nails made per day. A random survey of 500 nails finds 4 misshapen ones. Is the manager correct in his estimate? Explain.

Answers

Answer: The manager is incorrect.

Step-by-step explanation: 500,000 nails/500 nails = 1,000 nails. If a survery of 500 nails finds 4 misshapen ones, we must multiply 4 by 1,000 because multiplying 500 by 1,000 gives us 500,000. 4x1,000+4,000. 4,000 does not equal 1,500, so the manager is incorrect.

Why is it useful to factor out the GCF first when factoring?What signals you that factoring by grouping is the best method to use when factoring a problem? How would you know if it is factorable or prime?

Answers

Factor by grouping: 6x2 + 3x + 20x + 10.

This is a polynomial written with four terms that don't have a single common factor among them. However, the first two terms have a common factor (3x), and the last two terms have a common factor (10). This situation doesn't answer all of our wildest factoring dreams, but we'll take it.

By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:

3x(2x + 1) + 10(2x + 1)

These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:

(3x + 10)(2x + 1)

Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common.

Step 2: Factor out (or divide out) the greatest common factor from each term.

Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common.

Step 2: Factor out (or divide out) the greatest common factor from each term.

Quadrilateral ABCD quadrilateral WXYZ. If AD = 12, DC = 6, and ZY = 36, find WZ.