He directions for a calculation problem are to subtract 7 from 16 and then multiply by 4. Which expression shows this calculation?

Answer:

x * 15 = y

Step-by-step explanation:

Hope this is what you asked for! =)

Answer:

answer below

Step-by-step explanation:

3 and 1. they are adjacent

Answer:

∠1

Step-by-step explanation:

Adjacent angles are angles that border each other.

Given the definition above, the angles that border ∠4 are angles 3 and 1, but the only angle that's in the answer choices is angle 1.

Therefore, the correct answer is ∠1.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

9. The solution is (x, y) = (4/3, -5/3).

10. The solution is (x, y) = (1, 2).

The coefficient matrix is:

| -1  5 |

|  1 -2 |

The determinant of the coefficient matrix is:

|-1  5 |      |-2  5 |

| 1 -2 |  = (-1)(-2) - (5)(1) = 3

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 2  5 |

|-2 -2 |

The determinant of this matrix is:

| 2  5 |      | -2  5 |

|-2 -2 |  = (2)(-2) - (5)(-2) = -4 + 10 = 6

|-1  2 |

| 1 -2 |

The determinant of this matrix is:

|-1  2 |     | 1  2 |

| 1 -2 | = (-1)(-2) - (2)(1) = 2

Using Cramer's rule:

x = |2  5| / 3 = 4/3

   |-2 -2|

y = |-1 2| / 3 = -5/3

   |1 -2|

10.The coefficient matrix is:

| -5 -5 |

| -2 -4 |

The determinant of the coefficient matrix is:

|-5 -5 |      |-2 -5 |

|-2 -4 |  = (-5)(-4) - (-5)(-2) = -10

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 25 -5 |

| 16 -4 |

The determinant of this matrix is:

| 25 -5 |     | 16 -5 |

| 16 -4 | = (25)(-4) - (-5)(16) = -100 + 80 = -20

|-5 25 |

|-4 16 |

The determinant of this matrix is:

|-5 25 |     |-4 25 |

|-4 16 | = (-5)(16) - (25)(-4) = -80 -(-100) = 20

Using Cramer's rule:

x = |-5 -5| / -10 = 1

   |-2 -4|

y = |-5 25| / -10 = 2

   |-4 16|

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Answer:  32/8=4  so multiply each of them by 4 and you'll get your answer

Apple cider:

2 quarts x 4= 8

Cinnamon:

3 teaspoons x 4= 12

Lemon-lime soda:

1 pints x 4= 4

Step-by-step explanation:

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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Answer:

4/10 x 10 = 40/100

Step-by-step explanation:

I have done this one before.

I hope this helps!

Answer:

4/10 x 10 = 40/100

Step-by-step explanation:

I had  queation today

Step-by-step explanation:

do 1/2 x 4/2 x 3/2 = your answer :)

Tom will pay a total of $13,424.20 in interest over the term of the loan.

The formula to calculate the monthly payment for an amortized loan is given by:  `P = r(PV) / [1 - (1 + r)^(-n)]`Where P is the monthly payment, r is the interest rate per month, PV is the present value of the loan, and n is the number of payments or the total number of months.

Substituting the given values, we get:P = 0.0052083333 × 44,000 / [1 - (1 + 0.0052083333)^(-7×12)]P = 632.32Therefore, Tom's monthly payment is $632.32 (rounded to the nearest cent).b. Since Tom pays the monthly payment each month for the full term, his total amount to repay the loan is equal to the present value of the loan.

Therefore, the total amount to repay the loan is $44,000 (rounded to the nearest cent).c. The total amount of interest paid over the term of the loan can be calculated as the difference between the total amount repaid and the principal amount of the loan.

Therefore, the total interest paid is: Total interest paid = Total amount repaid - Principal amount of the loan Total interest paid = $57,424.20 - $44,000Total interest paid = $13,424.20

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Answer:

The equation of the line that passes through the point (-2,0) with a slope of -1/3 is y= -1/3x-2/3

a. The probability that a random person traveled by car, bus or bicycle is 0.9 or 90%.

b. None of the people travelled by any other means.

a) To calculate P(car, bus or bicycle), we need to find the probability that a person picked at random from the group traveled to work by car, bus, or bicycle. This can be done by adding the individual probabilities of each mode of transport:

P(car, bus or bicycle) = P(car) + P(bus) + P(bicycle)

P(car, bus or bicycle) = 47% + 0.13 + 3/10

To calculate this sum, we need to convert the percentages to decimals:

47% = 47/100 = 0.47

3/10 = 0.3

Now we can calculate the sum:

P(car, bus or bicycle) = 0.47 + 0.13 + 0.3 = 0.9

Therefore, the probability that a person picked at random from the group traveled to work by car, bus, or bicycle is 0.9 (or 90%).

b) No, none of the people in the group traveled to work in a different way. Since we have accounted for all the modes of transport (car, bus, and bicycle) in our calculation of P(car, bus or bicycle), there is no room for any other means of transportation.

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EXPLANATION

Given the expression:

ln 67:

Solving the operation with a calculator gives us the following result:

ln 67 = 4.204692619...

Thus, rounding to the nearest thousandth will give us:

= 4.205

So, answer to point 1) is D) 4.205

The conversion factors are used to multiply to 18 cm/s to get meters per minute is 60s/1m.

The conversion procedure depends on the unique circumstances and the targeted goal. A rule, a contract, technical requirements, or other norms that have been made public may control this. The precision of the initial measurement must not be increased or decreased during some unit conversions from one system to another. Soft conversion is another name for this. It doesn't need altering the way the thing being measured is physically constructed.

A hard conversion or an adaptable conversion, on the other hand, could not be perfect equivalents. In the new system, it converts the measurement to practical and usable numbers and units. Sometimes it entails rearranging the item's parts significantly or changing its size.

18 cm/s means 18 cm in 1 second.

You must change 1 second into a minute and 18 cm into meters when converting 18 cm/s into meters per minute. 18 cm = 18/100 meters.

1 second = 1/60 minutes.

18/100 meters per 1/60 minutes

18/100÷1/60 = 18/100 ×60/1

= 18 ×(60/100) meters per minute

The factor is 60s/100cm, which is equivalent to 60s/1m

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Answer:

The largest interger that satisfies the equation is 3

Step-by-step explanation:

If we subtract 10 from each side, we get 7x<=21

Then, we divide 7 on each side to get x<=3.

So the largest interger to satisfy the equation is 3

(Btw, <= means less than or equal to)

Hope this helped you, and have a great day!

Answer:

x<=3

Step-by-step explanation:

minus 10 fom both sides

7x + 10-10<=31-10

restate as

7x<=21

divid both side by same factor

7x/7 and 21/7

restate as

x<=3

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

The equation of the circle graphed in this problem is:

(x - 5)² + y² = 16.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

For the circle graphed, we have that:

Hence the equation of the circle graphed is:

(x - 5)² + y² = 16.

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Answer:

36 minutes

2 rounds for Priya

3 rounds for Ravish

Step-by-step explanation:

The answer is the LCM (least common multiple) of 12 and 18.

12 = 2^2 x 3

18 = 3^2 x 2

=>LCM of 12 and 18 = 2^2 x 3^2 = 4 x 9 = 36

=> After 36 minutes they meet again at the starting point

=> At that time, Priya has completed: 36/18 = 2 rounds

=> At that time, Ravish has completed: 36/12 = 3 rounds

After 36 minutes they meet again at the starting point.

In 36 minutes Priya and Ravish completed 2 and 3 rounds respectively.

The least common multiple (L.C.M) of two numbers is the “smallest non-zero common number” which is a multiple of both the numbers.

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

According to the given question.

Time taken by Priya to complete one round = 18 minutes

Time taken by Ravish  to complete the one round = 12 minutes

Therefore,

The number of minutes taken by Priya and Ravish to meet again at the starting point when they start the race same time = L.C.M (12, 18)

Since,

Prime factorization of

\(12 = 2\times 2 \times 3\)

And \(18 = 3 \times 3 \times 2\)

⇒ L.C.M of 12 and 18  = 2 × 2 × 3 × 3 = 4 × 9 = 36

Hence, after 36 minutes they meet again at the starting point.

Now, number of round completed by Priya in 36 minutes = \(\frac{36}{18}= 2\)

And the number of rounds completed by Ravish in 36 minutes = \(\frac{36}{12}\) = 3

Hence, in 36 minutes Priya and Ravish completed 2 and 3 rounds respectively.

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Answer: (x - 6) / 3

Step-by-step explanation:

To simplify the expression f(x) = (x^2 - 8x + 12) / (3(x - 2)), we can factor the numerator and denominator, if possible, and then cancel out any common factors.

The numerator can be factored as (x - 2)(x - 6).

The denominator is already in factored form.

So, the simplified form of f(x) is (x - 2)(x - 6) / 3(x - 2).

Note that we can cancel out the common factor of (x - 2) in the numerator and denominator, resulting in the simplified form: (x - 6) / 3.

Step-by-step explanation:

-4-(3)=-7

step two

3+(-5)=-2

step three

4+6=10

step four

-5-9=-14

step five

-4+(-9)=-13

Answer:

a) -4 - ( 3) = - 7

b) 3 + ( -5) = 3 - 5 = -2

c) 4 + 6 = 10

d) -5 -9 = - 14

e) -4 + ( -9) = -4 -9 = - 13...

Answer:

slope is 4/3 and y intercept is 5

Step-by-step explanation:

Answer:

So you do:

2184-528

=1656

Thats more than 1500 so no, he cant afford to buy it

The price of the music system is $ 2184 which is $ 1656 more than the available balance of Nathan given by the equation A = $ 528

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The cost of the music system = $ 2184

The available balance of Nathan = $ 528

Now , if the price is more than $ 1500 above the available balance , the bank does not allow the credit card to be used

So , The equation A = cost of the music system - available balance of Nathan

Substituting the values in the equation , we get

A = $ 2184 - $ 528

A = $ 1656

Hence , the price is more than $ 1500 above the available balance and the bank does not allow the credit card to be used

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Esha should plant 14 pepper plants in each row of the square formation.

To determine the number of pepper plants that Esha should plant in each row of a square formation, we need to find the square root of the total number of pepper plants she has (196).

The square root of 196 is 14.

Therefore, Esha should plant 14 pepper plants in each row of the square formation.

To understand why the square root of 196 is the appropriate number of pepper plants to plant in each row, we can consider the concept of a square formation. In a square formation, the number of plants in each row is equal to the number of plants in each column.

Since Esha has 196 pepper plants, she wants to distribute them evenly in a square formation. The square root of a number represents the length of one side of a square with that number of elements.

By calculating the square root of 196, we find that it is equal to 14. This means that Esha should plant 14 pepper plants in each row and 14 pepper plants in each column of the square formation. The total number of plants will be 14 multiplied by 14, which equals 196, matching the number of plants Esha has.

By planting 14 pepper plants in each row, Esha ensures an equal distribution and a square formation. This approach maximizes the space utilization and allows for efficient growth and maintenance of the plants.

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Answer:

A. A change B:Atom C:wow

Step-by-step explanation:

Sorry man, its 18 points

(a) The charge on an atom is neutral, meaning that the total number of positive charges from protons is equal to the total number of negative charges from electrons. Hence, the net charge on an atom is zero.

(B) If an atom loses an electron, there will be more protons than electrons in the atom. The atom acquires a general positive charge as a result. For instance, if a sodium atom (Na), which is normally neutral, loses an electron, it changes into the positively charged ion (Na+).
(c) If an atom obtains one electron, there will be more electrons than protons in the atom. This results in an overall negative charge on the atom. For example, if a neutral atom of chlorine (Cl) gets an electron, it forms a negatively charged ion (Cl-) (Cl-).

Answer:

x<7

Step-by-step explanation:

simplify

\(5 \7x + 3 > x + 1\)

subtract x from both sides

\( - 2 \7x+3>1\)

subtract 3 from both sides

\( - 2 \7x>−2\)

mulitply both sides by 7/-2

answer

x<7

The answer of the given question based on the degrees is , Philip covered 270 degrees in 45 minutes and 0.75 turn in the game.

To answer this question, we must know that a full circle contains 360 degrees.

Therefore, we can use the proportion as follows:

60 minutes = 360 degrees

1 minute = 6 degrees

1 turn = 360 degrees

Here, Philip watched the volleyball game for 45 minutes.

Thus, the total degrees covered in 45 minutes are:

6 degrees/minute × 45 minutes = 270 degrees

And the number of turns covered in 45 minutes is:

360 degrees/turn × 45 minutes / 60 minutes/turn = 0.75 turn

Therefore, Philip covered 270 degrees in 45 minutes and 0.75 turn in the game.

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a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Answer:

7x3=45 so substitute

Step-by-step explanation: