The 2012 Ford Fusion can go an estimated 140 miles on 5 gallons of gas in the city and an estimated 200 miles on 5 gallons of gas on the highway.

Which compound inequality can be used to find the miles per gallon of the 2012 Ford Fusion?

The answer of the given question based on the word problem of multiplication is , option (c) Since each stamp is about $0.50, the total cost is approximately 4 × 0.5 = $2.00.

Total cost refers to the complete amount of money required to purchase or produce a given quantity of goods or services. It includes all the expenses involved in the production or purchase of the product or service, like materials, labor, and overhead costs, as well as any other additional expenses like  taxes or shipping fees. Total cost is an important concept in economics and accounting as it helps businesses and individuals to determine the profitability of a product or service and make informed decisions about pricing and production.

The answer is: "Since each stamp is about $0.50, the total cost is approximately 4 × 0.5 = $2.00."

Rounding can be used to estimate the total cost of the stamps by approximating the cost of each stamp to the nearest 50 cents, which is $0.50. Therefore, the cost of four stamps can be estimated as 4 multiplied by 0.50, which is $2.00.

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The unknown values in the triangle are ;

a = 45.3

angle B = 7°

angle A = 28°

In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.

Therefore,

a/sinA = b/sinB = c/sinC

So, we use the Sine rule to find the values of unknown lengths or angles of the triangle.

b/sinB = c/sinC

7/sinB = 33/sin145

33sinB = 7 sin145

33 sinB = 4.02

sinB = 0.122

B = 7°

angle A = 180-(145+7)

A = 180- 152

A = 28°

a/sinA = c/sinC

a/sin28 = 33/sin145

asin145 = 33sin128

0.574a = 26

a = 26/0.574

a = 45.3

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There are 266 number of  ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars.

To determine the number of ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars, we need to consider the possible arrangements.

Let's analyze the scenario:

1. All three cars are parked in adjacent slots

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side), 6 possible positions for the second car (as it also needs one vacant slot on the right side), and the third car will occupy the remaining slot.

Total arrangements for Case 1 = 7 * 6 = 42.

2. One vacant slot between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 5 remaining slots where the second car can be parked (one vacant slot between the first and second car).

The third car will occupy one of the remaining 4 slots.

Total arrangements for Case 2 = 7 * 5 * 4 = 140.

3. Two vacant slots between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 4 remaining slots where the second car can be parked (two vacant slots between the first and second car).

The third car will occupy one of the remaining 3 slots.

Total arrangements for Case 3 = 7 * 4 * 3 = 84.

Total number of ways = Total arrangements for Case 1 + Total arrangements for Case 2 + Total arrangements for Case 3

Total number of ways = 42 + 140 + 84 = 266.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

Step-by-step explanation:

D

On average, Madrid has a higher monthly temperature. Its monthly

temperatures also vary more. The correct option is D.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset is.

It is given that weather researchers compared Dublin, Ireland, to Madrid, Spain. She found data about their average monthly temperatures.

Mean:  Dublin      Madrid

            56.1°F      68.0°F

Mean average deviation:

Dublin      Madrid

6.4°F         12.1°F

From the given table it is observed that the mean temperature of Madrid is higher than the mean temperature of Dublin.

Similarly, the mean average deviation for Madrid is higher than the mean average deviation of Dublin.

Therefore, the correct option is D.

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A bank pays interest on saving 2% per year, at the end of the year, the amount in the account would be $510.

Using a starting balance of $500 and a 2% annual interest rate, the amount in the account at the end of the year may be calculated using the compound interest formula.

Compound interest is calculated as follows:

\(A = P * (1 + r)^n\)

P = $500, r = 2% = 0.02 (converted to decimal form),

n = 1 (since it's one year).

\(A = 500 * (1 + 0.02)^1\)

\(A = 500 * (1.02)^1\)

A = 500 * 1.02

A = 510

Thus, at the end of the year, the amount in the account would be $510.

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Answer:

\(c. \: \sqrt{9} . \sqrt{4} \)

\( \\ \)

Step-by-step explanation:

\( \sqrt{9.4} \\ = \sqrt{9} \times \sqrt{4} \)

The largest interval I over which the solution is defined is (-∞, ∞).               I = (-∞, ∞)

To solve the given initial-value problem, we can use the method of separation of variables as follows:
1. Separate the variables by moving all terms with y to the left side of the equation and all terms with x to the right side:
y/y' = ex/x
2. Integrate both sides of the equation with respect to their respective variables:
∫y/y' dy = ∫ex/x d
ln(y) = ex + C
3. Solve for y:
y = e^(ex + C)
4. Use the initial condition y(1) = 9 to find the value of C:
9 = e^(e + C)
C = ln(9) - e
5. Substitute the value of C back into the equation for y:
y = e^(ex + ln(9) - e)
6. Simplify the equation:
y = 9e^(ex - e)
7. The largest interval I over which the solution is defined is (-∞, ∞), since there are no restrictions on the values of x or y therefore, the solution to the initial-value problem is y(x) = 9e^(ex - e) and the largest interval I over which the solution is defined is (-∞, ∞).

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Answer:

x³

y⁵*x⁴

Step-by-step explanation:

x*x*x=x³

y*x*y*x*y*x*y*x*y=y*y*y*y*y*x*x*x*x=y⁵*x⁴

Answer:

Which picture?

Step-by-step explanation:

Also I am guessing false but I don't see the picture

Answer:

x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

GH bisects ∠FGI.

So,  ∠HGI =∠FGH

6x - 17 = 5x - 8      {Add 17 to both sides}

        6x = 5x - 8 + 17

        6x = 5x + 9     {Subtract 5x form both sides}

  6x - 5x = 9

a) x = 9

b) ∠FGH  = 5* 9 - 8

               = 45 - 8

  ∠FGH  = 37

c) ∠HGI = 6*9 - 17

            = 54 - 17

   ∠HGI = 37

d) ∠FGI = ∠FGH + ∠HGI

            = 37 + 37

  ∠FGI = 74  

Uniform distribution best describes the given shape of the distribution.

The uniform distribution is a probability distribution that has the same probability of occurrence across a defined interval. It is also sometimes referred to as a rectangular distribution or a flat distribution.

The uniform distribution is defined by two parameters, a and b, which represent the lower and upper bounds of the interval. For example, if a uniform distribution is defined between 0 and 1, the probability of any number between 0 and 1 occurring is equal and the same.

The uniform distribution has several properties, including:

The mean of the distribution is equal to the midpoint of the interval, (a + b) / 2.

The variance of the distribution is equal to (b - a)² / 12.

The distribution is symmetrical, meaning that it is equally likely for any value within the interval to occur.

Applications of the uniform distribution include modelling random processes such as coin flips, die rolls, and random sampling. It is also often used as a prior distribution in Bayesian statistics.

Hence, the correct answer is A.

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--The given question is incorrect; the correct question is

"Which BEST describes the shape of the distribution?

A) uniform

B) skewed right

C) skewed left

D) roughly symmetrical"--

The statements that are true include the following:

B. Both graphs are exponential function.

C. Both graphs have exactly one asymptote.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

In Mathematics and Geometry, a horizontal asymptote is a horizontal line (y = b) where the graph of a function approaches the line as the input values (domain or independent value) approach negative infinity (-∞) to positive infinity (∞).

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Answer:

D. y= 0.3x2

Step-by-step explanation:

In quadratic functions, the value of a affects the wideness of the graph. The smaller the absolute value of a, the wider the graph. In these choices, 1/3 and 0.3 are the smallest. To understand which is smaller convert both to decimals; 1/3 is 0.3333 repeating. Therefore, 0.3 is slightly smaller and wider.

Answer:

The calculation that would increase 275 by 10%:

275 x ( 1 + 10%) = 275 x (1 + 10/100) = 275 x 110/100 = 302.5

Hope this helps!

:)

The Sweet Drip Beverage Co sells cans of soda popo in machines, and the company has observed that when the price per can is 50 cents, the average monthly sales are 26,000 cans. For each nickel (5 cents) increase in price, the company experiences a decrease of 1,000 cans in monthly sales.

This information suggests an inverse relationship between the price of the cans and the number of cans sold per month. For every nickel increase in price, the company experiences a decrease in sales of 1,000 cans. This implies that customers are sensitive to price changes, with higher prices leading to lower demand for the product. The relationship can be described by a linear equation, where the number of cans sold per month is a function of the price. The specific equation can be determined by using the given data points and applying linear regression techniques.

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Answer:

\(y = - 2x + 5\)

Step-by-step explanation:

Simply simplify the equation from what it is to the slope intercept format:

\(y = mx + b\)

Step-by-step explanation:

Hey there!

We know;

The slope intercept form of equation is;

y = mx+c

So, let's try to take it in this form.

(y-1) = -2(x-2)

Multiply -2 and (x-2)

(y-1) = -2x + 4

Take '-1' to right side.

y = -2x+4+1

y = -2x+5

Therefore, the equation is y = -2x+5.

Hope it helps...

Answer:

x³ - x² + 4x - 7

Step-by-step explanation:

(x³ + 2x - 3) - (x² - 2x + 4)

remove first parenthesis and distribute second parenthesis by - 1

= x³ + 2x - 3 - x² + 2x - 4 ← collect like terms

= x³ - x² + 4x - 7 ← in standard form

Answer: 0.40

Step-by-step explanation: JUST HURRY AND PUT IT IN BEFORE ITS TOO LATE BESTIE

Answer:

7.

Step-by-step explanation:

Range = highest value - lowest

= 9 - 2

= 7.

Answer:

2x+5

Step-by-step explanation:

Five more than two times a number would be 2 times x which is a number plus five because more means adding

The negative trend pattern exists in the given data.

The Given information is as follows: Month 1 2 3 4 5 6 7

Value 23 15 20 12 18 22 15

To find: What type of pattern exists in the data

The pattern that exists in the given data can be determined by creating a graph between month and value. So, the graph will be as follows: Type of pattern: From the above graph, it is evident that there is a Negative trend pattern in the data. Answer: (d) Negative trend pattern.

Conclusion: Thus, the negative trend pattern exists in the given data.

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Answer:

Step-by-step explanation:

What number multiplied by itself is equal to the product of 6 and 150?

30

30 x 30 = 900

6 * 150 = 900

Answer:

56.4 degrees

Step-by-step explanation:

90 degrees - 33.6 degrees = 56.4 degrees

Answer:

this would be 56.4

Step-by-step explanation:

because im smart and its right

Solution:

The word problem needs to be developed into mathematical expressions.

Developing the statements given;

Substituting equations (2) and (3) into equation (1);

Substituting the value of j in equation (2) and equation (3) to get l and a respectively ;

Therefore,

Latoya sent 24 messages

Austin sent 51 messages

Jim sent 17 messages.

The true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

In this situation, the function is f (t), when t is a value between 0 and 30. The cost is $0 for the first 30 minutes

When t is a value between 30 and 90, the cost is US$ 5 if the connection takes between 30 and 90 minutes.

Here, the true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

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The standard deviation is relatively small when the data are all concentrated close to the mean, exhibiting little variation or spread.

The standard deviation could be a degree of the changeability or spread of a set of information. It is calculated by finding the square root of the normal of the squared contrasts between each information point and the cruel(mean).

In other words, it tells us how much the information values are scattered around the mean.

When the information is all concentrated near the cruel(mean), it implies that the contrasts between each information point and the cruel are moderately little.

This comes about in a little while of squared contrasts, which in turn leads to a little standard deviation. On the other hand, when the information is more spread out, it implies that the contrasts between each information point and the cruel are bigger.

This comes about in a bigger entirety of squared contrasts, which in turn leads to a bigger standard deviation.

For case, let's consider two sets of information:

Set A and Set B.

Set A:

2, 3, 4, 5, 6

Set B:

1, 3, 5, 7, 9

Both sets have the same cruel(mean) (4.0), but Set A encompasses a littler standard deviation (1.4) than Set B (2.8).

This is because the information values in Set A are all moderately near to the cruel(mean), while the information values in Set B are more spread out.

Subsequently, we will say that the standard deviation is generally small when the information is all concentrated near the mean, showing a small variety or spread.

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a) 91 is a pseudoprime to the base 3.

b) n = 161038 satisfies the congruence \(\(2^{161038} \equiv 2 (\bmod 161038)\)\).

To show that 91 is a pseudoprime to the base 3, we need to demonstrate that \(\(3^{91} \equiv 3 (\bmod 91)\)\).

First, let's calculate\(\(3^{91}\)\):

\(\(3^{91} = 4502839058909973630055626085860034608494857334098261714416409186197568359375\)\)

Next, let's reduce this large number modulo 91:

\(\(3^{91} \equiv 375 (\bmod 91)\)\)

Since \(\(3^{91} \equiv 375 \equiv 3 (\bmod 91)\)\), we can conclude that 91 is a pseudoprime to the base 3.

b) To show that \(\(n = 161038\)\) satisfies the congruence\(\(2^{n} \equiv 2 (\bmod n)\)\),

Calculating \(\(2^{161038}\)\) directly would be computationally intensive. Instead, we can use a property of Carmichael numbers, which are composite numbers that satisfy \(\(a^{n-1} \equiv 1 (\bmod n)\)\) for anya that is coprime with n.

Since 161038 is a Carmichael number, we know that \(\(2^{161037} \equiv 1 (\bmod 161038)\)\).

Multiplying both sides by 2, we get:

\(\(2^{161038} \equiv 2 (\bmod 161038)\)\)

Therefore, n = 161038 satisfies the congruence \(\(2^{161038} \equiv 2 (\bmod 161038)\)\).

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Answer:

Step-by-step explanation:

Area of rectangle = Length ×Breadth

\(Length =8x+1\\Breadth = 3x-2\\\\A =\left(8x+1\right)\left(3x-2\right)\\\\=8x\times\:3x+8x\left(-2\right)+1\times\:3x+1\times\left(-2\right)\\\\=8\times\:3xx-8\times \:2x+1\times \:3x-1\times\:2\\\\=24x^2-13x-2\)