For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
Help please!!!! thank you sm!!

The compound formed between Sr and P is strontium phosphide (Sr₃P₂).

To determine the formula for the compound formed between Sr and P, we need to consider the charges of the ions involved.

Strontium (Sr) is a metal from Group 2 of the periodic table, and it tends to lose two electrons to achieve a stable electron configuration. Therefore, it forms Sr²⁺ ions.

Phosphorus (P) is a nonmetal from Group 15, and it tends to gain three electrons to achieve a stable electron configuration. Therefore, it forms P³⁻ ions.

To form a neutral compound, the total positive charge from the cations should equal the total negative charge from the anions. In this case, the charges need to balance.

Since the charge on the Sr²⁺ ion is 2+ and the charge on the P³⁻ ion is 3-, we need two Sr²⁺ ions to balance the charge of three P³⁻ ions. This gives us the formula Sr₂P₃.

However, we need to simplify the formula to its simplest whole-number ratio. By dividing both subscripts by their greatest common divisor, we obtain the simplest ratio of 1:1.

Therefore, the final formula for the compound formed between Sr and P is Sr₃P₂.

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The probability that exactly four of the selected bulbs from the pack of 10 bulbs is defective is 1/120.

For the given question;

Thus, the probability that exactly four of the selected is defective.

P = ⁴C₄  / ¹⁰C₃

P = 1/120

Thus, the probability that exactly four of the selected is defective is 1/120.

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Answer:

x = 39

Step-by-step explanation:

The square on the angle means that angle is 90 degrees, also known as a right angle. A triangle is 180 degrees so all the sides added together is 180:

51 + 90 + x = 180

141 + x = 180

x = 39

Answer: the answer is 9/2

Step-by-step explanation:

y = 3x + 10 the fixed charge is 10$ so our constant should be 10, there is a 3$ fee every day so x represents the days so we can multiply the amount of days with 3 to find the total amount paid in fees.

For example, if we hired a ladder for 3 days then

y = 3x + 10

= 3 x 3 +10

= 9 + 10

= 19$

So, we spent 19$ dollars in total cost

To determine if a polynomial graph is positive or negative, you need to look at the sign of the leading coefficient of the polynomial. If the leading coefficient is positive, the graph will be positive.

If the leading coefficient is negative, the graph will be negative. This is because the highest degree of the polynomial will determine the sign of the graph as the graph will either be increasing (positive) or decreasing (negative). To determine the leading coefficient, look at the polynomial expression and identify the term with the highest degree. The sign of this term will be the sign of the graph. For example, if the highest degree is 3, then the term would be ax^3, and the graph will be positive if a is positive, and negative if a is negative.

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MARK ME AS BRAINLIST PLEASE

2288ft^3

Step-by-step explanation:

Given data

Dimension of the block

Length= 13ft

Width= 11ft

Height= 16ft

Volume = L*W*H

substitute

V= 13*11*16

V= 2288 ft^3

Hence the volume of the concrete is 2288ft^3

Answer:

Product is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

the product is rational

the general form of the coefficient Bk is 0 for k > 0 and 8/3 for k = 0.

The coefficient A0 is given by:

A0 = (1/L) ∫f(x)dx from x=0 to x=L

where L is the period of the function, and in this case, L = 3.

A0 = (1/3) ∫0^3 1 dx + (1/3) ∫0^4 0 dx + (1/3) ∫4^5 1 dx

= (1/3) (3 + 0 + 1)

= 4/3

For k > 0, the coefficient Ak is given by:

Ak = (2/L) ∫f(x) cos(kπx/L) dx from x=0 to x=L

Ak = (2/3) ∫0^3 cos(kπx/3) dx + 0 + (2/3) ∫4^5 cos(kπx/3) dx

= (2/3) [1/kπ sin(kπx/3)] from x=0 to x=3 + (2/3) [1/kπ sin(kπx/3)] from x=4 to x=5

= (2/3kπ) [sin(kπ) - sin(0) + sin(kπ/3) - sin(4kπ/3)]

= (4/3kπ) [cos(kπ/3) - cos(5kπ/3)]

For k = 0, the coefficient Bk is given by:

B0 = (2/L) ∫f(x) dx from x=0 to x=L

B0 = (2/3) ∫0^3 1 dx + (2/3) ∫4^5 1 dx

= (2/3) (3 + 1)

= 8/3

For k > 0, the coefficient Bk is given by:

Bk = (2/L) ∫f(x) sin(kπx/L) dx from x=0 to x=L

Bk = 0, since f(x) is an even function and sin(kπx/L) is an odd function, so their product is odd and integrates to 0 over a symmetric interval.

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Answer:

I believe it's linear

Step-by-step explanation:

don't quote me on that tho

Answer:

25.2

Step-by-step explanation:

Find each part: 36/(7+3)

= 36/10

= 3.6

Then find 7 parts:

3.6 * 7 = 25.2

Check your work: find out the 3 parts:

3.6 * 3 = 10.8

25.2+10.8 = 36

The right answer is 25.2

The largest number is 25.2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The ratio of two numbers = 7:3

One number = 7x

Another number = 3x

Now,

7x + 3x = 36

10x = 36

x = 36/10

x = 3.6

Now,

7x = 7 x 3.6 = 25.2

3x = 3 x 3.6 = 10.8

Thus,

The two numbers are 25.2 and 10.8.

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The number of children and adults using the swimming pool is x=318, and y=235 respectively.

Given that,

Swimming pool on a certain hot summer day 553 people use the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1085.25.

Here,
let the number of children be x and the number of adults be y,
According to the conditions,
x + y = 553,  - - - - - - (1)
1.75x + 2.25y = 1085.25 - -- - - - - -(2)
Solving the above equations by substitution of x from 1 in equation 2.
1.75[y - 553] + 2.25y = 1085.25
x = 318
Now,
x = 553 - 318
x = 235

Thus, the number of children and adults using the swimming pool is x=318, and y=235 respectively.

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Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

i got it right on the exam!

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Answer:

20/27

Step-by-step explanation:

Answer:

10. =13/6

11. =17/3

12. =76/9

13. =22/7

Hope this helped!!

Answer:

We can determine that more people buy gas when the price of it is cheap

Step-by-step explanation:

Answer:

domain: -4 ≤ x ≤ 2

range: 2 ≤ y ≤ 6

Step-by-step explanation:

Answer:

2 killograms

Step-by-step explanation:

hope this helps :)

Answer:

2 2 2 it is 2

Step-by-step explanation:

Rounded to the nearest cent, Ruben will end up paying approximately $133.38 in interest.P is the principal amount (loan),

To calculate the interest Ruben will end up paying, we can use the formula for compound interest: I = P * (1 + r/n)^(n*t) - P

Where:

I is the interest,

P is the principal amount (loan),

r is the interest rate (in decimal form),

n is the number of times the interest is compounded per year, and

t is the time period (in years).

In this case, Ruben borrowed $3,000, the interest rate is 18.4% (0.184 in decimal form), the loan term is 6 months (0.5 years), and the interest is compounded annually (n = 1).

Plugging these values into the formula, we get:

I = 3000 * (1 + 0.184/1)^(1*0.5) - 3000

Simplifying the equation gives:

I = 3000 * (1.092)^0.5 - 3000

Calculating the exponent and evaluating the expression, we find:

I ≈ 3000 * 1.04446 - 3000

I ≈ $3133.38 - $3000

I ≈ $133.38

Rounded to the nearest cent, Ruben will end up paying approximately $133.38 in interest.

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For the first part, the number of license plates is: 65,780,800 and for the second part, the number of license plates with 3 consecutive digits is: 16,524,288.

If there are no restrictions on where the digits and letters are placed, the number of 8-place license plates consisting of 5 letters and 3 digits with no repetitions allowed can be found using the permutation formula:

nPr = n! / (n-r)!

where n is the number of available characters (26 letters and 10 digits) and r is the number of characters needed for the license plate (8).

Therefore, the number of license plates is:

(26 P 5) x (10 P 3) = (26!/21!) x (10!/7!) = 65,780,800

If the 3 digits must be consecutive, there are 8 possible positions for the block of digits (either the first 3, second 3, or last 3). Once the position of the block is chosen, the number of license plates can be found by counting the number of ways to arrange the letters and the block of digits. The number of ways to arrange the letters is 26 P 5, and the number of ways to arrange the block of digits is 10 (since there are only 10 possible sets of consecutive digits).

Therefore, the number of license plates with 3 consecutive digits is:

8 x (26 P 5) x 10 = 16,524,288

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The complete question goes thus:

If there are no restrictions on where the digits and letters are placed, how many 8

-place license plates consisting of 5

letters and 3

digits are possible if no repetitions of letters or digits are allowed? What if the 3

digits must be consecutive?

A property of an isosceles triangle, which is the base angles of the are equal, can be used to show that ΔBCD us an isosceles triangle.

There are two equal edges and two equivalent angles in an isosceles triangle. The Greek words iso (identical) and Skelos are the source of the name (leg). Equilateral triangles are those in which all of the sides are equal, whereas scalene triangles are those in which none of the sides are equal.

The characteristics of an isosceles triangle are as follows:

Let assume,

∠DAB = ∠A,

∠DCB = ∠C,

∠ABC = ∠B

The steps to show that ΔABD is an isosceles triangle are as follows;

∠ABD = 72° = ∠ADB :- Base angles of the isosceles triangle ΔABD

∠A + ∠ABD + ∠ADB = 180° (angle summation property)

∠A = 180° - (∠ABD + ∠ADB) = 180° - (72° + 72°) = 36°

∠A = ∠C :- Base angles of the isosceles triangle ΔBDC

∠ADB = ∠C + ∠DBC :- Exterior angle of a triangle theorem

72° = ∠C + ∠DBC

∠BDC = 72° + ∠A

∠DBC + ∠BDC + ∠C = 180° (angle summation property)

∠DBC = 180° - (∠BDC + ∠C) = 180° - (72° + 36° + 36°) = 36°

∠DBC = 36° = ∠C

In ΔBCD, ∠DBC = ∠C

ΔBCD is an isosceles triangle :- definition of an isosceles triangle

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The likelihood that the value resulting from the spin is no greater than two is 0.4, which is equivalent to 40%.

According to the distribution table, there are a total of ten slots on the wheel, and their corresponding values are as follows: 0, 1, 2, 5, and 10. In order to compute the likelihood of obtaining a value that is at most 2, we must first establish the number of possibilities that are desirable and then divide that figure by the entire number of outcomes that are feasible.

In this particular scenario, the outcomes that are desirable are the numbers 0 and 1, which indicates that there are three distinct possibilities that fulfil the requirement. Due to the fact that there are 10 spots on the wheel, the total number of events that could occur is 10.

Therefore, the probability of achieving a result that is no greater than two is three out of ten, which can be streamlined down to 0.3 or thirty percent. When a participant spins the wheel, there is a chance that they will win a value of 0, 1, or 2 at a rate of thirty percent of the time.

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The optimal value for x in the stochastic model is a range of values from x=6 to x=8. The stochastic model causes problems due to the uncertainty in the optimal solution and the assumptions.

With a=5, the optimal solution is x=8. However, with the addition of stochasticity and possible values for a of 3, 4, and 6, the optimal value for x becomes a range of values.

The expected value of a is 4.5, which means that there is a higher probability of a lower value for a, resulting in a lower optimal value for x. Therefore, the optimal value for x becomes x=6 when a=3 or a=4, x=7 when a=5, and x=8 when a=6.

The stochastic model causes problems because the optimal solution is no longer a fixed value but rather a range of values that are dependent on the probability distribution of a.

Additionally, this model assumes that the production time is the only constraint on production, which may not always be the case in real-world production scenarios. Therefore, the stochastic model may not accurately reflect the actual production process and could lead to suboptimal production decisions.

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Answer: A , 4x - 5y = 5

Step-by-step explanation:

i just did it , duhhh

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

diameter/2 = radius

12/2 = radius

radius = 6

The outer edge means you are measuring the circumference of the pizza.

Circumference = 2(pi)(radius)

Circumference = 2(pi)(6)

You are only finding 1/8 of the circumference

Therefore you are multiplying the circumference by 1/8

Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/360°) 2πr

A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. Then the central angle of each sector will be given as,

θ = 360° / 8

θ = 45°

And the radius is given as,

r = 12/2

r = 6 inches

Then the length of the outer edge of any one piece of this circle will be

Arc = (θ/360°) 2πr

Arc = (45/360°) 2π x 6

Arc = 1/4 x 3.14 x 6

Arc = 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

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An example of a sample space S could be rolling a fair six-sided die, where each face has a number from 1 to 6.
Let's define three events:
- E1: Rolling an even number (2, 4, or 6)
- E2: Rolling a number less than 4 (1, 2, or 3)
- E3: Rolling a prime number (2, 3, or 5)
To verify that these events are pairwise independent, we need to check that the probability of the intersection of any two events is equal to the product of their individual probabilities.
1. E1 ∩ E2: The numbers that satisfy both events are 2. So, P(E1 ∩ E2) = 1/6. Since P(E1) = 3/6 and P(E2) = 3/6, we have P(E1) × P(E2) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E1 ∩ E2) = P(E1) × P(E2), E1 and E2 are pairwise independent.

2. E1 ∩ E3: The numbers that satisfy both events are 2. So, P(E1 ∩ E3) = 1/6. Since P(E1) = 3/6 and P(E3) = 3/6, we have P(E1) × P(E3) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E1 ∩ E3) = P(E1) × P(E3), E1 and E3 are pairwise independent.

3. E2 ∩ E3: The numbers that satisfy both events are 2 and 3. So, P(E2 ∩ E3) = 2/6 = 1/3. Since P(E2) = 3/6 and P(E3) = 3/6, we have P(E2) × P(E3) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E2 ∩ E3) ≠ P(E2) × P(E3), E2 and E3 are not pairwise independent.
Therefore, we have found an example where E1 and E2, as well as E1 and E3, are pairwise independent, but E2 and E3 are not pairwise independent. Hence, these events are not mutually independent.

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Answer:

This is what I think it is but im no good at this so sorry if it is wrong. XP

Step-by-step explanation:

y=4/7x

y*7= 4/7*7x

y*7=4x

7y/4x = 4x/4x

7y/4x=0

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