What are two equivalent expressions that express 16 in 2 different forms

Answer:

22.5 hours

Step-by-step explanation:

One cubic foot of water contains 7.48 gallons, so 40 cubic feet of water would equal 7.48 × 40, or 299.2 gallons. So the pumping rate is 299.2 gallons per minute. Multiplying 299.2 by 60, we have

299.2 × 60, or 17952 gallons per hour. Finally, divide 403,920 by 17,952 to find the number of hours to remove all the water: 403,920 ÷ 17,952 = 22.5 hours

The one-sample chi-square test is used to determine whether the distribution of a single categorical variable significantly differs from what would be expected by chance. The statement is True.

The one-sample chi-square test is a statistical test used to determine if there is a significant difference between the observed frequency and the expected frequency in a single categorical variable. It compares the observed frequency distribution of a variable to the expected frequency distribution, assuming that the null hypothesis is true.

This test compares observed frequencies to expected frequencies and calculates a chi-square statistic to assess the significance of the difference.

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Answer:

x=15

Step-by-step explanation:

5x+17+36=128

5x+53=128

5x=75

x=15

Answer:

20

Step-by-step explanation:

because you have a 50 % 50% shot of getting either.

Answer:

20

Step-by-step explanation:

Answer:

Yo Rick Astley

Step-by-step explanation:

y ∝ 1 √ x

y = k (1 √ x)

y = 7 when x = 36

7 = k ( 1 / √36)

7 = k (1/6)

k= 7 × 6

k = 42

If x = 4 then,

y = 42 ( 1/√4)

y = 42 ( 1/2)

y= 21

Answer:

B

Step-by-step explanation:

Use the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Let (-1,-3) be \(x_1\) and \(y_1\), while (11,-8) be \(x_2\) and \(y_2\).

Thus:

\(d=\sqrt{((11)-(-1))^2+((-8)-(-3))^2\)

\(d=\sqrt{12^2+(-5)^2}\)

\(d=\sqrt{144+25} =\sqrt{169} =13\)

Answer:

Step-by-step explanation:

If you are asking how much money were the drinks?

Then, the answer is $6.75. This is because 19.25 - 12.50 = 6.75

If you are asking how much money per drink, then the answer is $1.35

"The correct option is D." The definition of the exposure coefficient is Cov(P,S)/Cov(S).

The exposure coefficient is a measure that quantifies the relationship between two variables, P and S. It is commonly used in statistics and finance to understand the sensitivity or responsiveness of one variable (S) to changes in another variable (P).

Cov(P,S) represents the covariance between the variables P and S, which measures the degree to which they vary together. Cov(S) represents the covariance of variable S with itself, which is essentially the variance of S.

By dividing the covariance between P and S (Cov(P,S)) by the covariance of S (Cov(S)), we obtain the exposure coefficient, b. This ratio provides insights into how changes in P are associated with changes in S, taking into account the variability of S itself.

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Answer:

y=3x-1

Step-by-step explanation:

Use slope intercept form (y=mx+b) to plug in the values for m and b

A perfect square is a number obtaining by squaring a whole number

A perfect square can be defined as a number that is being expressed as the product of an integer by itself.

It is also seen as the second exponent of an integer.

In determining the perfect of a number, when you multiply an integer which could be a “whole” number, positive, zero or negative) by itself, the product of the multiplication is termed a square number, or a perfect square.

Perfect square is also described as a number made by squaring a whole number.

Some perfect squares in mathematics are;

Number 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 139, 144, etc

Hence, a perfect square is described as a number that is the product of an integer with itself.

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Answer:

triangular prism

0.5 X 5 X 4 X 9 = 90 cubed cm

cuboid

6 X 5 X 20 = 600 cubed cm

triangular prism : cuboid

90:600

now simplify

both are divisible by 30

3:20

this cannot be simplified further

answer = 3:20

Answer:

The answer is shown in the picture!

Step-by-step explanation:

Hope this helps! <3

Answer:

→ All statement are false................

Answer:

Step-by-step explanation:

If you deposit $7300 into an account paying 100% annual interest compounded yearly , how much money will be in the account after 15 years?

Result:

The amount is $239206400.

Explanation:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Answer:

15341

Step-by-step explanation:

\text{Doubling Formula:}

Doubling Formula:

y=a(2)^{\frac{t}{d}}

y=a(2)  

d

t

​  

a=7300\hspace{40px}d=14\hspace{40px}t=15

a=7300d=14t=15

d is the doubling time

\text{Plug in:}

Plug in:

y=7300(2)^{\frac{15}{14}}

y=7300(2)  

14

15

​  

y=15341.0469243

y=15341.0469243

The type of contact force that is not included in the given options is the electrostatic force. The other three options—air resistance, spring compression, and friction force—are examples of contact forces.

Contact forces arise when two objects physically interact with each other. They can be categorized into various types based on the nature of the interaction. In this case, the given options include air resistance, spring compression, and friction force, which are all examples of contact forces.

Air resistance, also known as drag, occurs when an object moves through a fluid medium, such as air or water. It opposes the motion of the object and is directly proportional to the object's velocity.

Spring compression is a contact force that occurs when an external force compresses or stretches a spring. The spring exerts an equal and opposite force in response to maintain its equilibrium position.

Friction force is another type of contact force that opposes the relative motion or tendency of motion between two surfaces in contact. It can either be static friction, which prevents initial motion, or kinetic friction, which opposes motion that is already occurring.

Unlike the other three options, which involve physical contact between objects, electrostatic force is the interaction between electrically charged particles without direct contact. It is a non-contact force that can attract or repel charged objects based on their charges.

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Answer:

Y= 2X

Step-by-step explanation:

The Y intercept is 0, therefore it would not have a "b" if it were in the form y=mx+b.

The line is going right, so it's positive. From 0, the line goes over 2, up 2, so the slope is 2.

Answer:

Step-by-step explanation:

we want this to be in one inch units.   we are told 3/10  of an inch is 7/8 of a mile.  so use the reciprocal of 3/10 or   10/3  to get to one.

7/8* 10/3 = 70/24   mile is equal to one inch.

Now figure out how much 70/24th miles is.

2.91666666 miles = 1 inch

The Reynolds number (Re) for water flow in the circular pipe is approximately 160,920.

The Reynolds number (Re) is calculated using the formula:

Re = (density * velocity * diameter) / viscosity

Given:

Diameter of the pipe = 50 mm = 0.05 m

Density of water = 998 kg/m^3

Volumetric flow rate of water = 720 L/min = 0.012 m^3/s

Dynamic viscosity of water = 1.2 centipoise = 0.0012 kg/(m·s)

First, we need to convert the volumetric flow rate from L/min to m^3/s:

Volumetric flow rate = 720 L/min * (1/1000) m^3/L * (1/60) min/s = 0.012 m^3/s

Now we can calculate the velocity:

Velocity = Volumetric flow rate / Cross-sectional area

Cross-sectional area = π * (diameter/2)^2

Velocity = 0.012 m^3/s / (π * (0.05/2)^2) = 3.83 m/s

Finally, we can calculate the Reynolds number:

Re = (density * velocity * diameter) / viscosity

Re = (998 kg/m^3 * 3.83 m/s * 0.05 m) / (0.0012 kg/(m·s)) = 160,920.

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Answer:

I think it is Yes, SAS

Step-by-step explanation:

Answer: 98 yards

Step-by-step explanation:

In order to find the area of a square by the diagonal, all you need to do is square the length of the diagonal and then divide by 2. 7 is half of the length, so the full length is 14. 14 squared is 196. 196 divided by 2 is 98, which is your answer.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

total cards = 52

Step 02:

probability:

p(event) = favorable outcomes / total outcomes

total cards = 52

total queens = 4

total face cards = 12

first event (queen):

p(queen) = 4 / 52

second event (face card):

without replacement

p(face card) = 11 / 51

total probability (queen and face card):

The answer is:

p (queen and face card) = 0.0166

The likelihood of pulling a spade followed by a face card from a deck is 3/52, or roughly 0.0588. (rounded to four decimal places).

The probability of drawing a spade from a deck of 52 cards is 13/52, or 1/4, since there are 13 spades in the deck.

Once a spade has been drawn and not returned to the deck, there are now 51 cards left in the deck, of which 12 are face cards (the Jack, Queen, and King of each suit). Therefore, the probability of drawing a face card given that a spade has already been drawn is 12/51.

To find the probability of both events happening together (drawing a spade and then a face card), we can multiply the probabilities of each event:

P(drawing a spade, then drawing a face card) = P(drawing a spade) x P(drawing a face card given that a spade has been drawn)

= (1/4) x (12/51)

= 3/52

Therefore, the probability of drawing a spade, then drawing a face card out of a deck is \(3/52\)  , or approximately \(0.0588\) (rounded to four decimal places).

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Answer:

D. x2 = 52 + 32 – 2(5)(3)cos(140°)

Step-by-step explanation:

The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°). Option B is corect.

Distance is a numerical representation of the distance between two objects or locations.

The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.

Distance is measured in the meter, centimeter, miles, nautical mile, feet, etc. The unit of distance is most important to find it.

The distance, x, from the starting point is;

From the cos law ;

x² = a² +b²-2ab cosΘ

From the digrame it is obtained that;

a =5

b =3

Θ = 180 ° +70° -30°

Θ = 180°- 40°

Θ = 140°

Substitute the values;

x² = a² +b²-2ab cosΘ

x²=5²+3²-2(5)(3)cos(140°)

The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°).

Hence option B is corect.

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The probability that out of four containers chosen at random, less than two are nonconforming is 0.986.

Given that the plastic milk containers are produced by a machine that runs continuously.

If 5 percent of the containers produced are nonconforming, we need to determine the probability that out of four containers chosen at random, less than two are non-conforming.

Probability of nonconforming = 5% = 0.05

Probability of a conforming container = 1 - Probability of nonconforming = 1 - 0.05 = 0.95

Let X be the number of nonconforming containers out of four containers chosen at random. Since there are only two outcomes (conforming and nonconforming), we can model the situation with a binomial distribution.

The probability mass function of a binomial distribution is given by:

P(X = x) = nCx * p^x * (1-p)^(n-x)

Where nCx = n! / (x! * (n-x)!) is the binomial coefficient.

Therefore, we can write the probability of less than two nonconforming containers as:

P(X < 2) = P(X = 0) + P(X = 1)

P(X = 0) = 4C0 * (0.05)^0 * (0.95)^4 = 0.8145

P(X = 1) = 4C1 * (0.05)^1 * (0.95)^3 = 0.1715

P(X < 2) = 0.8145 + 0.1715 = 0.986

Therefore, the probability that out of four containers chosen at random, less than two are nonconforming is 0.986.

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Answer:

45°, 110° & 25°

Step-by-step explanation:

We know,

x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)

or, 2x + 90 = 180°

or, 2x = 90°

∴ x = 45°

Now,

∡A = x° = 45°

∡B = x +65° = 45° + 65° = 110°

Where the above graph and conditions are given,  the value of k that satisfies g(x) = f(x+k) is k = -2.

We can determine the value of k by using the given relationship between g(x) and f(x+k).

If g(x) = f(x + k), then we can substitute the given values of x in g(x) to get:

g(-1) = f(-1 + k) --> 5 = f(-1 + k)

g(0) = f(0 + k) --> 4 = f(k)

g(1) = f(1 + k) --> 3 = f(1 + k)

g(2) = f(2 + k) --> 2 = f(2 + k)

g(3) = f(3 + k) --> 3 = f(3 + k)

We know that f(x) is a v-shaped graph with a vertex at (0,2) and points at (-1,3) and (1,3). Therefore, we can conclude that f(k) = 4, which means that k is the x-coordinate of the vertex of f(x) shifted to the left or right.

Since the vertex of f(x) is at (0,2), and the x-coordinate of the vertex of f(x+k) is at k, we have:

k = 0 --> vertex of f(x+k) is at (0,2)

k = -1 --> vertex of f(x+k) is at (-1,2)

k = 1 --> vertex of f(x+k) is at (1,2)

k = 2 --> vertex of f(x+k) is at (2,2)

Therefore, the value of k that satisfies g(x) = f(x+k) is k = -2.

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Answer: A

Step-by-step explanation:

r = j + 3

We subtitube r to find j,

r = 9          j = 9 + 3 = 12

r = 15         j = 15 + 3 =18

r = 21         j = 21 + 3 = 24    

And we found A as answes.

Answer:

Step-by-step explanation:

Table C is the correct one

Answer:

There is no slope because the line has a constant y-value

Step-by-step explanation:

True: When a form is created based on two or more tables, a relationship must be defined between queries.

True. When a form is created based on two or more tables, a relationship must be defined between queries in order to ensure that the form displays accurate data. Queries are used to pull data from multiple tables and present it in a single view, so it is important to define the relationships between these tables to avoid inconsistencies or errors in the displayed data. This ensures that the data from the related tables can be properly displayed and managed within the form.

When you drag and search a field from an "other" (unrelated) table, a new one-to-many relationship is created from the table in the list and the table from which you dragged the field. This relationship is established by Access, which does not enforce integrity by default.

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