Lisa paid $46.58 for 16.7 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?

Answer:

the distance from Fresno to San Francisco on the second map is 75cm

Step-by-step explanation:

The scale on the first map is 1 cm to 20 km

The distance from Fresno to SanFrancisco is 15 cm

1cm/20km = 15cm

The scale on the second map is 1 cm to 100 km.

1cm/100km = x

X= 15cm*100km/20km *1cm/1cm

X=15cm *5

X= 75 cm

the distance from Fresno to San Francisco on the second map is 75cm

Answer:

A (3; 4)

B (5; 2)

C (4; 0)

D (-6; -2)

E (-2; -5)

I hope this helps!

Answer:

Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.

Step-by-step explanation:

Answer:

look thoughtfully for a long time at.

Step-by-step explanation:We watched the contemplative television show before heading to bed for the night

Choosing a decision alternative that maximizes the minimum profit is a feature of the maximin approach.

The maximin approach is a decision-making strategy that aims to identify the decision alternative that provides the highest payoff for the worst-case scenario.

It is commonly used in situations where the decision-maker is risk-averse or where the consequences of making the wrong decision are severe.

By selecting the alternative that maximizes the minimum profit, the decision-maker can ensure that they are prepared for the worst-case scenario and can minimize potential losses.

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Question

Choosing a decision alternative that maximizes the minimum profit is a feature of the ____ the maximum profit is a feature of the ____

Step-by-step explanation:

scan it u could have the answer in a flash

Answer:

the 7 pairs of earings because you can buy more for just $1 extra that just geeting 1 thing. that is what i think

Answer:

Step-by-step explanation:

6y - y = y(6 - 1) = y * 5

The answer is 5y.

Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

Answer:

Below

Step-by-step explanation:

the sides of the second figure are 4/3 bigger than the first

4/3 * 4/3 * 100 = 177.78 units^2

   There are two sides involved in calculating area  L x W

        so you have to multiply by 4/3 TWICE

Answer:150

Step-by-step explanation: 250/ x = 375/225 equals 150 yards

The two equations which can be used to form a system of equations for the scenario are X + Y = 12 and 3.50X + 4.50Y = 50

To solve this problem, we need to form a system of equations. Let X be the amount of chocolate and Y be the amount of almonds. The first equation we can form is based on the total amount of snack mix that Penny needs, which is 12 ounces:

X + Y = 12

The second equation we can form is based on the cost of the ingredients. We know that chocolate costs $3.50 per ounce and almonds cost $4.50 per ounce. If X is the amount of chocolate and Y is the amount of almonds, then the total cost of the snack mix will be:

3.50X + 4.50Y = 50

This equation represents the fact that Penny has $50 to spend on the snack mix. Now we have a system of two equations that we can use to solve for X and Y. We can use substitution or elimination to solve the system and find the values of X and Y that satisfy both equations.

Once we have those values, we can check that they add up to 12 and that the total cost is $50. This system of equations allows us to calculate the amount of chocolate and almonds Penny needs to make the snack mix within her budget.

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Answer:

6 degrees

Step-by-step explanation:

\( - 4 + 10 = 6\)

Answer:

6 degrees

Step-by-step explanation:

Answer:

exact form: 47/6 decimal form: 7.8333 mixed number form: 7 5/6

Step-by-step explanation:

-convert mixed numbers into improper fractions:

-7/3-(-61/6)

-least common multiplier for 3 and 6 is 3

-adjust fractions based on LCM

=-14/6+61/6

-since the denominators are equal, combine the fractions:

=-14+61/6

-add/subtract the numbers (-14+61=47)

Answer:

50 miles per hour

Step-by-step explanation:

150 miles=3 hours

150/3=50

50miles 1 hour

100 miles 2 hours

150 miles 3 hours

each hour is 50 miles

Answer:

The rate of the car is 50 miles per hour

(a) To determine how fast the population is growing when it reaches 5 million people, we can substitute P(t) = 5 into the differential equation P'(t) = 0.06P(t). This gives us P'(t) = 0.06(5) = 0.3 million people per year. Therefore, the population is growing at a rate of 0.3 million people per year when it reaches 5 million people.

(b) To determine the population size when it is growing at a rate of 700,000 people per year, we can set P'(t) = 700,000 and solve for P(t). From the given differential equation, we have 0.06P(t) = 700,000, which implies P(t) = 700,000/0.06 = 11,666,666.67 million people. Therefore, the population size is approximately 11.67 million people when it is growing at a rate of 700,000 people per year.

(c) To find a formula for P(t), we can solve the differential equation P'(t) = 0.06P(t). This is a separable differential equation, and integrating both sides gives us ln(P(t)) = 0.06t + C, where C is the constant of integration. By exponentiating both sides, we get P(t) = e^(0.06t+C). Using the initial condition P(0) = 3, we can find the value of C. Substituting t = 0 and P(0) = 3 into the equation, we have 3 = e^C. Therefore, the formula for P(t) is P(t) = 3e^(0.06t).

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The sample of 25 people interviewed by the sportswriter is not a Random sample. The correct answer is Option C. No, because not all residents of Columbus, Ohio have an equal chance of being selected.  

In statistics, sampling is the process of selecting a subset of individuals or units from a larger population to estimate or infer information about the population.

A random sample is a subset of individuals or units from a larger population that is selected in a way that every member of the population has an equal chance of being selected. In other words, a random sample is unbiased and represents the population as a whole.

In the given scenario, the sportswriter interviews the first 25 people who enter the stadium before a game in Columbus, Ohio to determine how strongly Columbus residents support building a new stadium for the local minor league baseball team.

Now, the question is whether this sample is a random sample or not.

The answer is "No, because not all residents of Columbus, Ohio have an equal chance of being selected," which is option C.

The reason is that the sportswriter only interviews the first 25 people who enter the stadium before the game. This means that the sample is not selected randomly from the entire population of Columbus residents, but only from the people who happened to be at the stadium at that particular time.

Moreover, people who attend minor league baseball games may not be representative of the entire population of Columbus residents. For example, people who attend baseball games may be more likely to support building a new stadium than those who do not attend such games.

Therefore, the sample of 25 people interviewed by the sportswriter is not a random sample and may not be representative of the entire population of Columbus, Ohio. The results of the survey based on this sample may not accurately reflect the opinions of all Columbus residents.

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Complete Question

A sportswriter wants to know how strongly Columbus, Ohio residents support building a new stadium for the local minor league baseball team. She stands outside the stadium before a game and interviews the first 25 people who enter the stadium. Is this a random sample?

A. Yes, because it gives very accurate results.

B. Yes, because all fans had a chance to be asked.

C. No, because not all residents of Columbus, Ohio have an equal chance of being selected.

D. No, because the sample size is not right.

The sequence yn = √(n+1) - √n converges, and its limit can be found by simplifying the expression and applying the limit rules. The limit of yn as n approaches infinity is 0.

To find the limit of yn as n approaches infinity, we can simplify the expression. Let's start by rationalizing the numerator:

yn = (√(n+1) - √n) (√(n+1) + √n) / (√(n+1) + √n)

Simplifying the numerator, we get:

yn = [(n+1) - n] / (√(n+1) + √n)

= 1 / (√(n+1) + √n)

As n approaches infinity, both √(n+1) and √n also approach infinity. Therefore, the denominator (√(n+1) + √n) also approaches infinity. In the numerator, the constant 1 remains constant.

Using the limit rules, we can simplify the expression further:

lim(n→∞) yn = lim(n→∞) [1 / (√(n+1) + √n)]

= 1 / (∞ + ∞)

= 1 / ∞

= 0

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Answer: (-2,0)

Step-by-step explanation:

The factoring of the expressions would yeild;

a) (3x + 1) (x + 2)

b) Can not be factored

c) 2[(4x - 5) (x - 3)]

Factoring is the process of finding the prime factorization of an integer, which is finding the prime numbers that multiply together to give the original number. There are several methods for factoring including:

It is important to choose the right method based on the type of number being factored and the problem at hand.

The factoring of the quadratic expressions would give;

a) (3x + 1) (x + 2)

b) Can not be factored

c) 2[(4x - 5) (x - 3)]

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Answer:

yes she can

Step-by-step explanation:

yes she can because $20 is great than $18.50

The difference of the two numbers is 4

Algebraic expressions are defined as expressions made up of certain terms, variables, constants, factors and coefficients.

These algebraic expressions are also made up of arithmetic operations, such as;

From the information given, we have that;

Let the numbers be x and y

x + y = 34

(xy) = 285

Substitute the values

(34 - y)(y) = 285

-y² + 34y - 285

y² - 34y + 285

y² - 15y - 19y + 285

y(y - 15) - 19(y - 15)

Their difference is 4

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Answer: Cynthia will receive $5,400, Moses will receive $8,100, John will receive $13,500

Step-by-step explanation:

       First, we will see how many "portions" the money is broken up into.

2:3:5 can become 2 + 3 + 5 = 10

       Next, we will see how much money each "portion" is worth using division.

$27,000 / 10 = 2,700

       Finally, we will multiply to see how much each person will receive.

2:3:5

2 * $2,700 = $5,400 [Cynthia]

3 * $2,700 = $8,100 [Moses]

5 * $2,700 = $13,500 [John]

Answer:

Cynthia's money = $5,400

Moses' money = $8,100

John's money = $13,500

Step-by-step explanation:

The full ratii of the money will be 2+3+5 = 10

Cynthia's ratio = 2 × $27,000

10

= 2 × 2,700

= $5400

Moses' ratio = 3 × $27,000

10

= 3 × 2,700

= $8100

John's ratio = 5 × $27,000

10

= 5 × 2,700

= $13,500

Answer:

10.2625

Step-by-step explanation:

Answer:

10.2625

Step-by-step explanation:

Used a Calculator......

The equation of the tangent line to f(x)=ln(x) at x=2 is given by y = 1/2x - ln(2).

To find the formula for the tangent line to f(x)=ln(x) at x=2, we first need to take the derivative of the function:

f'(x) = 1/x

At x=2, the derivative is:

f'(2) = 1/2

The equation of the tangent line at x=2 is given by:

y - f(2) = f'(2)(x - 2)

Substituting the values of f(2) and f'(2) gives:

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

Simplifying this equation gives us the equation of the tangent line:

y = 1/2x - ln(2) + ln(2)

Therefore, the equation of the tangent line to f(x)=ln(x) at x=2 is given by y = 1/2x - ln(2).

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If $\angle AHB < 90^\circ$, then the altitude $\overline{BE}$ of acute triangle $ABC$ is longer than altitude $\overline{AD}$, with the intersection point $H$ lying closer to the base side $\overline{BC}$ than to the opposite side $\overline{AB}$.

In acute triangle ABC, the altitudes $\overline{AD}$ and $\overline{BE}$ intersect at point $H$. If the angle $\angle AHB$ is less than $90^\circ$, it implies that $\overline{BE}$, the altitude drawn from vertex B, is longer than $\overline{AD}$, the altitude drawn from vertex A.

The intersection point $H$ lies closer to the base side $\overline{BC}$ than to the opposite side $\overline{AB}$. This condition holds because in an acute triangle, the altitude from the vertex with the larger angle is longer than the altitude from the vertex with the smaller angle.

Therefore, when $\angle AHB$ is less than $90^\circ$, it signifies that the altitude from vertex B is longer, resulting in $H$ being closer to side $\overline{BC}$ than to side $\overline{AB}$.

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There are a total of 16 different ways to distribute 4 distinguishable balls into 2 distinguishable boxes.

Step 1: Determine the options for each ball. Since there are 4 distinguishable balls, each ball has 2 options: it can either be placed in Box 1 or Box 2.

Step 2: Calculate the total number of possibilities. Since each ball has 2 options and there are 4 balls in total, we multiply the options for each ball together: 2 × 2 × 2 × 2 = 16.

Step 3: Determine the specific ways to distribute the balls. We can represent each option for each ball as a binary digit (0 for Box 1 and 1 for Box 2). For example, the distribution (0, 0, 0, 0) represents all balls being placed in Box 1, and the distribution (1, 1, 1, 1) represents all balls being placed in Box 2.

Step 4: List all possible combinations. By converting the binary digits to decimal numbers, we can find all the distinct combinations. The possible combinations are: (0, 0, 0, 0), (0, 0, 0, 1), (0, 0, 1, 0), (0, 0, 1, 1), (0, 1, 0, 0), (0, 1, 0, 1), (0, 1, 1, 0), (0, 1, 1, 1), (1, 0, 0, 0), (1, 0, 0, 1), (1, 0, 1, 0), (1, 0, 1, 1), (1, 1, 0, 0), (1, 1, 0, 1), (1, 1, 1, 0), (1, 1, 1, 1).

Therefore, there are 16 different ways to put 4 distinguishable balls into 2 distinguishable boxes.

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