round to three decimal places

5 = ____ liters

Answer:

The solutions to the quadratic equation 0 = -3x² - 4x + 5 in simplest radical form are x = (-2 + √19) / 3 and x = (-2 - √19) / 3.

To find the solutions to the quadratic equation 0 = -3x² - 4x + 5, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Comparing the equation to the standard quadratic form ax² + bx + c = 0, we have a = -3, b = -4, and c = 5.

Plugging these values into the quadratic formula, we get:

x = (-(-4) ± √((-4)² - 4(-3)(5))) / (2(-3))

= (4 ± √(16 + 60)) / (-6)

= (4 ± √76) / (-6)

= (4 ± 2√19) / (-6)

= -2/3 ± (1/3)√19

Therefore, the solutions to the quadratic equation are:

x = -2/3 + (1/3)√19 and x = -2/3 - (1/3)√19

In simplest radical form, the solutions are:

x = (-2 + √19) / 3 and x = (-2 - √19) / 3.

These expressions cannot be further simplified since the square root of 19 is not a perfect square.

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Advance tickets: represented by x

Same-day tickets: represented by y

you can model this using a system of equations

x + y = 65

40x + 30y = 2200

then you have to get either the x or y value equivalent in both equations

40(x + y = 65)

40x + 40y = 2600

so the new equations are 40x + 40y = 2600 and 40x + 30y = 2200

then you can solve by using elimination

40x + 40y = 2600

-(40x + 30y = 2200)

10y = 400

y = 40

substitute y back into the first equation

x + 40 = 65

x = 25

Both the domain and range of the transformed function are the same as those of the parent function.

What are Range and Domain?

The collection of all potential output values that a function can generate given its domain is known as its range.

The set of all potential input values for which a function is specified is referred to as its domain.

The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.

Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.

A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.

Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.

A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well

So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.

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Answer:

Third option

Step-by-step explanation:

the difference between the areas of the square and the 4 circles:

the square is 8 inches per side

\((8)^{2} -4\pi (2)^{2} =64-4\pi (4)=(64-16\pi)in^{2}\)

Hope this helps

The remaining area of the square is,

⇒ (64 - 4π) in.²

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

Four circles, each with a radius of 2 inches, are removed from a square.

Now, We get;

Side of square = 8 inches

Hence, The remaining area of the square is,

⇒ (8 x 8 - π × 2²)

⇒ (64 - 4π) in.²

Thus, The remaining area of the square is,

⇒ (64 - 4π) in.²

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Answer:

$13.70

Step-by-step explanation:

y=2.80x+2.50

=2.8*4+2.5

=13.7

Answer: $13.70

Step-by-step explanation: The first thing you would do is mulitply 2.80 time four. Then you would add 2.50 to the product to get 13.7.

Answer:

uncertain for the first image and words to choose for the second image

Step-by-step explanation:

The text implies that she does not know and that there are many words to choose.

the answer is 63

Step-by-step explanation

18 x 3.5=63

Answer: 63 pages

Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.

Answer:

49 < x

Step-by-step explanation:

Write an inequality.

Let x be franklin's books

so then,

49 < x is the inequality

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Answer:

B. x < 24

Step-by-step explanation:

16 > - 8 + x

+8 > +8 + x     Add 8 to both sides

24 > x

Final answer: x < 24

Answer:

3 1/10 as a fraction

Step-by-step explanation:

3.3 as a fraction is 3 3/10. The first 3 is a whole number because it is to the left of the decimal point, and it represents 3 ''ones''. However, the second 3 to the right of the decimal point represents a decimal amount. Because this 3 is in the tenths place, we say it as ''3 tenths.

33 is repeating

    When converting a percent in fraction form, you must know its place value of each number, and you can easily transform it to fraction.

3.3% - the place value is ones. It is a whole number and called as three.

3.3% - the place value is tenths. It is called as three-tenths.

When you convert a percent to decimal, you must divide it by 100.

3.3 ÷ 100

Answer:

Tom has 70 cards, and Harry has 28 cards.

Step-by-step explanation:

Let h = number of cards Harry has.

Then the number of cards Tom has is 2 1/2 * h = 2.5h.

Together they have 2.5h + h = 3.5h number of cards.

Together they have 98 cards.

3.5h = 98

h = 98/3.5

h = 28

Harry has 28 cards.

Tom has 2.5h = 2.5 * 28 = 70

Answer: Tom has 70 cards, and Harry has 28 cards.

Answer:

53 degrees

Step-by-step explanation:

a complementary angle is 90 degrees and it's split, if one is 47 degrees, you do 90-47 which equals 53

Answer:

The answer is 0.26.

I wish you luck on your assignments.

Answer: 0.26

Step-by-step explanation:

1. The hundredths place is two digits from the decimal point

2. Look at the thousandths place and if it is larger or equal to 5 then we round up, otherwise we round down and the hundredths digit remains the same

3. 7 is larger than 5 therefore the hundredths place digit of 5 rounds to a 6

4. Our final answer is 0.26

There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

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F(5) would be the y value of where the line is when it is at x 5

The line crosses at -6.5

F(5) = -6.5

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

35 degrees

Pleaase seek help u need to be smarter than this giv me brainilest

The probability is 12/194580

The balls numbered 1 through 12 are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

If 4 balls have the same number, then there are 12 types of this arrangement:

1, 1, 1, 1

2, 2, 2, 2

3, 3, 3, 3

and so on.

There is also 4 * 12 = 48 total number of balls.

We have a permutation:

Finally, we

This is the required probability.

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:

Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.

Establish the initiating vertex as the current vertex.

Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.

Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.

Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.

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9514 1404 393

Answer:

  C, E, F

Step-by-step explanation:

The equation f(x) = log₉(x) can be rewritten as ...

  x = 9^y

This form makes it relatively easy to check the given points.

  A. 9^2 = 81 ≠ -1/81

  B. 9^1 = 9 ≠ 0

  C. 9^-1 = 1/9 . . . . one of the points of interest (1/9, -1)

  D. 9^243 = <very big number> ≠ 3

  E. 9^1 = 9 . . . . one of the points of interest (9, 1)

  F. 9^2 = 81 . . . . one of the points of interest (81, 2)

Answer:?

Step-by-step explanation:

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

From blue to red/pink, 4 units to the right, 2 units up.

Answer:

The following composite number is 63

The point of tangency of line s to circle B is, point K and option 2 is the correct answer.

A straight line that touches a curve only once, without passing over or intersecting it, is said to be tangent to the curve. The limit of the secant lines that pass through a point on a curve is referred to as the tangent line in mathematics. Secant lines are lines that connect two adjacent points on the curve.

The tangent line mathematically indicates the slope or instantaneous rate of change of the curve at that location. The tangent line at a point on the curve shows the object's instantaneous velocity at that location if the curve represents an object's route.

The line s is the tangent to the circle B and it touches the circle at point K.

Hence, the point of tangency of line s to circle B is, point K and option 2 is the correct answer.

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Answer:

T = 11L

Step-by-step explanation:

T = 11L

T = 11(3)

T = 33

T = 11L

T= 11(6)

T = 66

T = 11L

T = 11(20)

T = 220