A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?

Four fifths of 7/8 will be less than 7/8 (multiplied by a number less than 1).

Similarly, 7/8 of 4/5 will be less than 4/5.

This means that the product will be less than each of the original factors

Answer:

\(\frac{56}{3}\)

Step-by-step explanation:

Image

Answer:

Inverse operations by subtracting 14 1/6 from each side of the equation

Step-by-step explanation:

You need to first isolate the variable (leave only the variable on 1 side of the equal sign and everything else on the other). To do this do inverse operations (to get rid of "14 1/6" you need to subtract 14 1/6) from both sides of the equation (from both sides so the equation remains equal).

21-14 5/6 = 6 5/6

This leaves us with the solution

m=6 5/6

Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

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9514 1404 393

Answer:

Step-by-step explanation:

X'∩Y includes those elements of Y that are not in X. That would be {f, g}.

__

(X∩Y)' is all the elements that are not in the intersection of X and Y. That intersection is {d, e}, so this is the complement of that set; {a, b, c, f, g, h}.

__

X'∩Y' is the same as (X∪Y)'. There is only one element not in X or Y: {h}.

Answer:

m<8 = 78°

Step-by-step explanation:

<2 is given as 78°

<2 and <8 are alternate exterior angles.

Based on the alternate exterior angle theorem, <2 is congruent to <8.

Therefore:

m<8 = 78°

X has a geometric distribution because it is the number of trials (tosses) required until a success (catching the ball) occurs.

b) The probability that it will take exactly two tosses for Sophie to catch a ball is P(x=2) = (0.2)(0.8)^1 = 0.16. This is calculated by multiplying the probability of success (0.2) by the probability of failure (0.8) raised to the power of the number of trials (2-1=1)

c) To find the probability that more than three tosses will be required, we need to find the probability that Sophie does not catch the ball on the first three tosses and then catch it on the fourth toss.

This can be found by summing the probabilities of Sophie not catching the ball on the first three tosses (0.8^3 = 0.512) and Sophie catching the ball on the fourth toss (0.8^3*0.2 = 0.1024). The probability that more than three tosses will be required is P(x>3) = 1 - P(x≤3) = 1 - (0.512 + 0.1024) = 0.3856.

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Answer:

Of the total 31 + 20 + 6 + 6 + 6 = 69 medals, the USA won 31 of them. 31/69 as a percentage is about 45%. Since there are 360° in a full circle, 45% of that is 0.45 * 360 = 162°.

Answer:

How many degrees will the USA section be in a circle graph?

31°

162°

45°

184°

Step-by-step explanation:

162° THIS ONE IS RIGHT

PLEASE GIVE ME A Brainiest PLEASE AND THX

HOPE IT HELP

The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

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Answer: Second Choice. 90 cubic inches

Concept:

Here, we need to know how to calculate the volume of a rectangular prism

Volume (rectangular prism) = w · l · h

w = width

l = length

h = height

Solve:

Given information

l = 6"

w = 3"

h = 5"

Given expression

V = w · l · h

Substitute values into the expression

V = (3) (6) (5)

Simplify by multiplication

V = 18 · 5

\(\boxed{V_{rectangular prism}=90}\)

Hope this helps!! :)

Please let me know if you have any questions

So the equation is

Answer:

7

Step-by-step explanation:

Answer:

you can make 3 outfits

Step-by-step explanation:

because,if you just have 3 shoes aotomaticly you just wear 3 shirt and 3 pants.

for the socks, one people wear 2 socks so there you have 3 outfits

Answer:

\(810\)

Step-by-step explanation:

For each shirt, there are 6 different pairs of pants to pair with it. For each of these pairs of pants, there are 3 different shoes to pair and so on.

Therefore, there are \(5\cdot 6\cdot 3\cdot 9=\boxed{810}\) combinations you can make.

Answer:

opposite angles are equal

Step-by-step explanation:

The reason is that opposite angles are equal. I don't know if it says it but if you need 3 reason, if P is the midpoint, nP = P to the end of that line and mP = P to the end of that line giving you 3 reasons

Step-by-step explanation:

I don't know what you can do regarding predefined options.

but yes, the proof goes

angle 2 + angle 3 = 180°

angle 3 + angle 4 = 180°

therefore,

angle 2 + angle 3 = angle 3 + angle 4 | ‐ angle 3

angle 2 = angle 4

that's it.

you were totally close. just this one last little step was missing.

again, I don't know. what options you have to express this.

Answer: 4x−5y=25 cause i am smart and i want to help

Answer:

X = 138

Step-by-step explanation:

138 and x are both alternate exterior angles that means they are always congruent.

Answer:

3/8 pounds

is the half of 3/4 pounds

Step-by-step explanation:

Half = 1/2

(3/4)(1/2) = (3*1)/(4*2) = 3/8

Half of 3/4 pounds of chocolate chip cookies

=>    \(\frac{3}{4} : 2=\frac{3}{4}.\frac{1}{2} =\frac{3}{8} = 0.375\)  <pounds>

Ok done. Thank to me :>

====================================================

Explanation:

Let x be the reference angle where the question mark is located.

Opposite this angle x is 27. The adjacent side is 38.

Use the tangent ratio to tie the two sides together

tan(angle) = opposite/adjacent

tan(x) = 27/38

x = arctan(27/38)

x = 35.3947958 .... which is approximate

x = 35.4

Be sure that your calculator is in degree mode. The notation "arctan" refers to "arctangent" which is the same as inverse tangent. Your calculator should have a button labeled \(\tan^{-1}\) to help compute this.

Given:

Let's find the value(s) of p where the equation will have equal roots.

To find the value of p, apply the quadratic formula:

When there are equal roots, the discriminant is zero.

Thus, we have:

Where:

a = 1

b = 1

c = (p + 7)

Thus, we have:

Now, let's solve for p.

Add 27 to both sides:

Therefore, the value of p where the equation will have equal roots are:

ANSWER:

Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.

We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.

The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.

We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus.  Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.

Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.

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Answer:

log base of 8 of 1

Step-by-step explanation:

i did this

Answer:

2^5

Step-by-step explanation:

2^5 = 2 x 2 x 2 x 2 x 2 = 32

Step-by-step explanation:

2x2x2x2 now that is the exact way to solve it mark me as a brilliantis

We can conclude after answering the provided question that Joel cannot inequality satisfy the constraints by purchasing two games and six puzzles because 6 + 2 is less than 9.

In mathematics, an inequality is a non-equal relationship between two expressions or values. As a result, imbalance leads to inequality. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal sign is commonly used (). Different inequalities, no matter how small or large, are used to contrast values. Many simple inequalities can be solved by modifying the two sides until only the variables remain. However, a number of factors contribute to inequality: Negative values are divided or added on both sides. Exchange left and right.

puzzles while adhering to the constraints?

Let x be the number of puzzles that Joel can buy and y be the number of games that Joel can buy.

Joel has a total spending limit of $96. As a result, we can write the first inequality as follows:

8x + 12y ≤ 96

x + y ≥ 9

s: x ≥ 0 ≥ 0

To see if Joel can satisfy the constraints by purchasing two games and six puzzles, we enter x = 6 and y = 2 into the inequalities:

8x + 12y ≤ 968(6) + 12(2) ≤ 9672 ≤ 96 (True) (True)

x + y ≥ 96 + 2 ≥ 9 (False) (False)

Joel cannot satisfy the constraints by purchasing two games and six puzzles because 6 + 2 is less than 9.

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Given:

A west-facing train is traveling at a speed of x kmph.

An east-facing train is traveling at a speed x+15 kmph.

To find the speed of the first and second trains:

A west-facing train is traveling at a speed x kmph for 2 hours.

After 2 hours,

A second train, heading east, leaves the same station and travels 15 km/h faster than the first.

And it is given that, they are 580 km apart, 6 hours after the second train departed.

So, the distance traveled by the second train is,

The distance traveled by the first train due west in 8 hours is,

Since the distance between the two trains is 580km.

So, we write

So, the answers are,

The speed of the first train is 35 kmph.

The speed of the second train is (35+15)= 50 kmph.

Answer:

yes it is 24.56 all you have to do is add 23.00 plus 6.8% that gives you 24.564 but since there is a 4 after the 6 and its lower than 5 it goes to 56 and not 57

Solution:

Given:

To convert from polar to cartesian coordinates,

Hence, the pair as a cartesian coordinate as an ordered pair is;

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Hello !

1. A quadratic equation results in the form: ax² + bx + c

2. Calculate the discriminant: Δ = b² - 4ac

3. Calculate x with the dicriminant: (-b ± √Δ) / 2a

Example:

3x² + 7x - 2 = 0 is a quadratic equation.

x = (-b ± √(b² - 4ac)) / 2a

= (-7 ± √(7² - 4*3*(-2))) / (2*3)

= (-7 ± √73)/6

Answer:

1.6538461538461538461538461538462

Step-by-step explanation:

I don't get is it dividing?