The new dolphin tank at the city aquarium is in the shape of a rectangular prism. It is long by wide by deep. To make the tank livable for the dolphins, the aquarium workers treat the water using bags of salt. The amount of water a bag of salt can treat is known in cubic feet.
(a) Find the volume of water in the tank in cubic feet.

(b) To make the tank livable for the dolphins, a bag of salt must be added for each 19.4ft$ of water. The aquarium doesn't have any salt on hand and the salt can only be purchased in whole bags. How many bags of salt must be purchased to treat the water?
(c) If each bag of salt costs $4.85, how much must the aquarium pay for salt to treat all the water in the new dolphin tank?
answer quickly

Answer:

10y+ 21 ≥ 16

Step-by-step explanation:

The whole band gets 1/2 of the fee.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The writer gets 4/12 of the fee, the singer gets 1/12 of the fee and the guitarist gets 1/12 of the fee, so the total fraction of the fee that the band members get is 4/12 + 1/12 + 1/12 = 6/12.

So, the whole band gets 6/12 or 1/2 of the fee. This means that half of the fee paid by the company goes to the band members, while the other half goes to other costs or expenses.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ1

Answer:

1/169

Step-by-step explanation:

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

Replace the card

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

P (diamond, replace, diamond) = 1/13 * 1/13 = 1/169

The IRR of the project is  11.76%

To calculate the internal rate of return (IRR) of the project, we can use the Net Present Value (NPV) formula. The IRR is the discount rate that makes the NPV equal to zero.

Initial investment (CF0) = -$71,300.00

Annual cash flows (CF1) = $8,400.00

NPV = $8,000.00

We can set up the equation:

NPV = CF0 + CF1 / (1 + IRR) - CF0 = 0

Substituting the given values:

$8,000.00 = -$71,300.00 + $8,400.00 / (1 + IRR) - -$71,300.00

Simplifying the equation:

$8,000.00 = $8,400.00 / (1 + IRR) + $71,300.00

Now, let's solve for IRR:

$71,300.00 = $8,400.00 / (1 + IRR)

Dividing both sides by $8,400.00:

8.5 = 1 / (1 + IRR)

Taking the reciprocal:

1 / 8.5 = 1 + IRR

1 / 8.5 - 1 = IRR

IRR ≈ 0.1176 or 11.76%

Therefore, the IRR of the project is approximately 11.76%.

This is the general answer

Learn more about IRR at https://brainly.com/question/31870995

#SPJ11

Kim can arrange the 10 identical lamps on the 3 identical tables in 66 different ways.

Number of lamps= 10

Number of tables=3

For identical objects we have the following formula;

(n + r - 1)C(r - 1) (r - 1)

We thus have;

n + r - 1 = 10 + 3 - 1

            = 12

r - 1 = 3 - 1

      = 2

Thus,

(n + r - 1)C(r - 1) = ¹²C₂

Apply the following combination formula:

ⁿCr = n!/((n - r)!r!)

So, we have:

¹²C₂ = 12!/((12 - 2)! * 2!)

¹²C₂ = 12!/(10! * 2!)

¹²C₂ = 12 * 11 * 10!/(10! * 2!)

¹²C₂ = 132/2

       = 66

Therefore, there are 66 ways to put all the lamps on the tables.

To learn more about combinations visit;

https://brainly.com/question/28065038

#SPJ4

The average change in value each year is given by -

a = (C - 5)/(x - y)

The rate of change is defined as the change in the magnitude of one value with respect to other value.

Given is C as the current value and 5 is the starting value.

Assume that the value is [C] in year [x] and the value was 5 in year [y], then the average change in value each year =

a = (C - 5)/(x - y)

Therefore, the average change in value each year is given by -

a = (C - 5)/(x - y)

To solve more questions on average rate change, visit the link below-

https://brainly.com/question/21635353

#SPJ1

Answer:

Step-by-step explanation:

f (2/5 ) = −2/3*2/5  + 5

Which is -4/15+5

Which is 71/15

But it is not one of the multiple choices please update when you figure out where you copied incorrectly

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

Learn more about adding:

https://brainly.com/question/3255453

#SPJ4

Answer:

the first option

Step-by-step explanation:

(f-g)(x) simply means to subtract both expressions. really literally.

and we go through it power by power of x.

the highest power/exponent of x is 3 (x³). only f(x) has one.

so, -7x³ is the first part of f-g.

next is x².

11x² - 6x² = 5x², which is the second part of f-g.

next is x.

-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.

next is x⁰ (in other words, no x, just a constant).

4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.

we have no x to the power of -1 or -2, so we have -3

0 - (-4x‐³) = 4x‐³, which is the last part of f-g.

so, it is clearly the first answer option.

Answer:

please screen shot it so we cna help you

The area of the rectangle is 23.375 sq feet.

What is area of rectangle ?
The area of a rectangle is the product of its length and width. It is a measure of the region enclosed by the rectangle. In the context of geometry, the area is expressed in square units, such as square inches, square feet, or square meters.

Given by the question:
To find the area of the rectangle, we need to multiply the length and width.

Length = 2 3/4 feet = 11/4 feet

Width = 8 1/2 feet = 17/2 feet

Area = Length x Width

Area = (11/4) x (17/2)

Area = 93.5/4 sq feet

So the area of the rectangle is 23.375 sq feet (when rounded to three decimal places).

To know more about Area of Rectangle visit:
https://brainly.com/question/20693059
#SPJ1

Answer:

\(Y=\frac{c}{a}-\frac{b}{a}\)

Step-by-step explanation:

Answer:

y=c+b/a (The a is under c+b)

Step-by-step explanation:

Add the b over to c.

ay=c+b

Now divide both sides by a, which will remove the a from y.

y=c+b/a

Answer:

wdym?

Step-by-step explanation:

Answer: odd

Step-by-step explanation: khan academy got it right

No table and graph given for us to choose from.

Answer:

7/8 is greater than 2/4

Step-by-step explanation:

In this question basically, what we are trying to do is to compare fractions and state which is greater or less.

The first fractions in the question is;

7/8 _ 2/4

Now, one of the best ways to go around comparing fractions is looking at the denominators.

In this question, the denominators in the fractions are 8 and 4.

The next thing to do here is to multiply the numerator and the denominator of the first by 4 and the numerator and the denominator of the second by 8. This makes it possible for us to have the same denominator in both fractions and thus compare both fractions directly.

Thus, what we have would be;

7/8 = 7/8 * 1 = 7/8 * 4/4 = 28/32

Now for the fraction;

2/4 = 2/4 * 1 = 2/4 * 8/8 = 16/32

We can see they both have a common denominator and we can directly compare their numerators.

Obviously, 28 is greater than 16 and this makes a case for the fact that 7/8 is greater than 2/4

So what we have in the blank is ; is greater than

Kindly note that the other part of the question that talks about shading circles is same as saying 7/8 and 2/4

Answer:

is less than

Step-by-step explanation:

look at da graph and watch mario.

Answer:

2mx-x+2018

Step-by-step explanation:

multiply each term in the parentheses by x

the empirical probability based on 1000 flips provides a better estimate of the theoretical probability p(h) for the unfair coin.

The empirical probability is based on observed data from actual trials or experiments. It involves calculating the ratio of the number of favorable outcomes (e.g., getting a "heads") to the total number of trials (flips). The larger the number of trials, the more reliable and accurate the estimate becomes.

When estimating the theoretical probability of an unfair coin, it is important to have a sufficiently large sample size to minimize the impact of random variations. With a larger number of flips, such as 1000, the estimate is based on more data points and is less susceptible to random fluctuations. This helps to reduce the influence of outliers and provides a more stable and reliable estimate of the true probability.In contrast, with only 30 flips, the estimate may be more affected by chance variations and may not fully capture the underlying probability of the coin. Therefore, the empirical probability based on 1000 flips provides a better estimate of the theoretical probability p(h) for the unfair coin.

Learn more about empirical here:

https://brainly.com/question/27709173

#SPJ11

Answer:

Experimental probability

Step-by-step explanation:

Experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.

We got the answer of the equation 65 X 589 X 653 -65 +36 = 25,000,076 by applying the BODMAS rule in the given equation.

By Applying the BODMAS rule we get the answer of this question. BODMAs rule says that firstly solve the bracket, them solve the off, then do division, after then go to multiplication, then do addition and lastly after the addition do subtraction.

The chain should be followed while solving the question. So in the given question we firstly do the multiplication i.e

65 X 589 X 653 which is equal to  25,000,105

After doing multiplication, we will move forward and do the addition i.e

25,000,105 + 36 which is equal to 25,000,141.

Lastly, we will do the subtraction after doing multiplication and addition i.e.

25,000,141 – 65 which is equal to 25,000,076.

To know more about BODMAS Rule, click here :

https://brainly.com/question/29626868

#SPJ4

Answer: Cleo will be 64.

Step-by-step explanation:

38/2= 19

19-7= 12

Clara is 12

38-12= 26

38+26=64

Answer:

36

Step-by-step explanation:

80% of 45 is 36.

Have a FANTASTIC FRI-YAY!

Answer:

b is the answer

Step-by-step explanation:

4 is hours and 60 m

Answer:

The answer is B

Step-by-step explanation:

"The point shows (4,60) shows that it takes 4 hours to install 60m of fencing"

I did this on khan too

hope this helps :)

The number of socks for Hailey will be 163.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The number of Haley's socks will be calculated as=

Socks = 777 x 21/100

Socks = 777 x 0.21

Socks = 163

Therefore the number of socks for Hailey will be 163.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ1

Answer:

A

Step-by-step explanation:

just plug in the formula

Answer:

by adding 14581+418541=433,122

by adding 23427+23243=46,670

by substraction of both Numbers=

difference between both number is 386,452

Answer:

-2 5/6

Step-by-step explanation:

First, you have to change the fraction 2/3 to have a common denominator with 1/6. 2/3 x 2/2 = 4/6.

Second, now your equation is -2 1/6 + ( -4/6 ).

Third, you have to add -2 1/6 and -4/6 which gets you -2 5/6

Hope this helps!

Answer:

keeping the value of x as -1

then we have

\(f( - 1) = {1}^{2} + 5 \times 1 - 7\)

=1 +5-7

= -1

The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

We can use the logarithm properties to find the value of log57 given that log75 is 0.83.

One of the logarithm properties states that:

log(a * b) = log(a) + log(b)

Using this property, we can express log57 in terms of log75:

log57 = log(5 * 3 * 19)

Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:

log57 = log(5 * 3 * 19)

log57 = log5 + log3 + log19

However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

Learn more about “ logarithm properties “ visit here;

https://brainly.com/question/29106904

#SPJ4

The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

To find log57 using the given information log75 = 0.83, we can use the change of base formula:  

if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c

Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).

We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,

so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83

Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now

we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510

Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

to learn more about equations click here:

brainly.com/question/2228446

#SPJ11

The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

\(\overline{x} = 1400, n = 64, s = 240\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

More can be learned about the t-distribution at https://brainly.com/question/17073112

#SPJ1

Answer:

about 48 adults , because you have to divide the 477 by 10

Step-by-step explanation:

I got this question on my test and i chose this and i got it right.

I hope this helps!! :)