the small submarine is at -1320 feet in relation to sea level. the submarine needs to be 180 feet below sea level in 60 minutes. How far must the submarine travel?

A' - (-1,4)

B' - (-1,8)

C' - (-5,4)

hope this helps

Answer: The length of the prism is 8 yards

Step-by-step explanation:

First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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B is not true, because in the graph when x=0 y=30, and when x=3 y is not equal to 28 (that would be true if she finishes 2 homework points every 3 minutes). the final answer will be B

The correlation coefficient which best matches the data plotted on the graph is 0.25, the correct option is C.

We are given that;

The graph of different values of x

Now,

we can see that there is a weak positive linear relationship between x and y, as the points are scattered around a slightly upward-sloping line. The closer the points are to the line, the stronger the correlation. The farther the points are from the line, the weaker the correlation. Hence, we can expect the correlation coefficient to be a small positive number, less than 1.

Therefore, by correlation coefficient the answer will be 0.25.

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The inverse statement is false.

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The value of the investment in 5 years is $5805.9

Interest is the amount earned over years for the amount invested.

It is given that

Principal = $5000

Rate = 3%

Compounded Quarterly

Time = 5 years

Amount = ?

The Amount is given by the formula

Amount = P( 1 + (r/n))ⁿˣ

Here n = t = time period for which the investment has been done.

Amount = 5000( 1+(3/4 * 100)⁴ˣ⁵

Amount = 5000 (1.16)

Amount = $ 5805.9

Therefore , The value of the investment in 5 years is $5805.9

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Prime factorise 1950.

1950 = 2 × 5 × 5 × 3 × 13

Multiply the numbers 5 × 13...you'll get 65.

Now, multiply 2 × 5 × 3 = 30.

If you check,

65 × 30 = 1950.

Also, they have the digits 0, 3, 6 & 5 as asked in the question.

So, your required numbers are 65 & 30.

_______

Hope it helps!

RainbowSalt2222 ☔

A son earns 62 percent of what his father earns if the son earns $52,000 so, the father earns approximately $83,871.

The word "percent" is used to represent a quantity as a percentage of 100. The Latin term per centum, which means "out of a hundred," is where the word "percent" originates. When working with huge numbers, percentages are frequently employed to convey ratios, proportions, and rates in a more practical way.

A percentage can be expressed as a decimal or as a fraction with a denominator of 100. 25%, for instance, might be written as 0.25 or as 25/100. Similarly, 75% might be written as 0.75 or as 75/100.

Let's denote the father's earnings as "F". We are given that the son earns 62% of what his father earns, which can be expressed as:

Son's earnings = 62% of Father's earnings

$52,000 = 0.62F

To solve for F, we can divide both sides of the equation by 0.62:

F = $52,000 ÷ 0.62

F = $83,870.97

Therefore, to the nearest dollar, the father earns approximately $83,871.

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Third-degree Taylor polynomial for f(x) = e centered at a = 1 using a graphing calculator estimate the value of eˣ near x = 1.

A polynomial is an expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

Now, let's focus on the Taylor polynomial. The Taylor polynomial of degree n for a function f(x) centered at a is given by the formula:

\(Tn(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)^{2/2!} + f'''(a)(x - a)^{3/3!} + ... + f^{n}(a)(x - a)^{n/n!}\)

In this formula, f'(a), f''(a), f'''(a), and f^(n)(a) are the first, second, third, and nth derivatives of f(x), respectively, evaluated at a. The symbol n! denotes the factorial of n, which is the product of all positive integers from 1 to n.

In our case, we're given the function f(x) = e and a = 1. The first derivative of e^x is e^x, the second derivative is e^x, and the third derivative is also eˣ. Evaluating these derivatives at a = 1, we get:

f(1) = e¹ = e

f'(1) = e¹ = e

f''(1) = e¹ = e

f'''(1) = e¹ = e

Substituting these values into the formula for the Taylor polynomial, we get:

\(T3(x) = e + e(x - 1) + e(x - 1)^{2/2!} + e(x - 1)^{3/3!}\)

Simplifying this expression, we get:

\(T3(x) = e + e(x - 1) + e(x - 1)^{2/2} + e(x - 1)^{3/6}\)

This is the third-degree Taylor polynomial for f(x) = e centered at a = 1. It can be used to approximate the value of eˣ near x = 1.

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Complete Question:

A graphing calculator is recommended. Find the Taylor polynomial T3(x) for the function f centered at the number a. f(x) = e, a = 1.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer: the distance from home to father's ofgice is 2km and 950 m.

hope its what you are searching for..

Answer:

  4x^4y(9y^3z^4 -5x^4)

Step-by-step explanation:

The two terms have a common factor of 4x^4y, so we can rewrite the expression as ...

  = 4x^4y(9y^3z^4 -5x^4)

Answer:

Option B

Step-by-step explanation:

The area of a parallelogram = base*height

                                               = 13.5*9.2

                                                = 124.2 cm^2

Answer:

correct

Step-by-step explanation:

glad to help you

Answer:

The choice A .

\( \frac{3}{7} (2x + 5)\)

Step-by-step explanation:

\(a. \: \frac{3}{7} (2x + 5) = \frac{6}{7} x + \frac{15}{7} = \frac{6}{7}x + 2 \frac{1}{7} \\ \\ \\ b. \: \frac{1}{7} (6x + 2) = \frac{6}{7} x + \frac{2}{7} \\ \\ \\ c. \: \frac{2}{7} (3x + 4) = \frac{6}{7} x + \frac{8}{7} = \frac{6}{7} x + 1 \frac{1}{7} \\ \\ \\ d. \: \frac{6}{7} (x + 1 \frac{2}{7} ) = \frac{6}{7} (x + \frac{9}{7} ) = \frac{6}{7} x + \frac{54}{49} \)

Answer:

y=-x+5 the y intercept is 5 and the slope is -1

Step-by-step explanation:

Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

Answer: 31 i think

Step-by-step explanation:

Answer: 20


Realistically : In this hypothetical scenario, if 5 + 5 equals 9, then the basic principles of mathematics are no longer applicable, and any further calculations cannot be accurately determined. However, in the real world, 5 + 5 equals 10, and therefore 10 + 10 would equal 20.

Answer:

20

Step-by-step explanation:

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

the expression for a proportional relationship is,

here, k = proportionality constant

we will put the value of x and y corresponding to each other from the table

for (3,18)

for (6,36)

thus the given table is the table of a proportional function

and the constant of proportionality is 6

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

b

Step-by-step explanation:

A proportional relationship is a straight line.  Is must also go through the point (0,0)

b

Answer:

Step-by-step explanation:

A proportional relationship is a straight line.  Is must also go through the point (0,0)