dividing decimals
0.745/ 9.089

Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

Answer:

(A)three eigenvalues, all of them real.

(D)one real eigenvalue and two complex eigenvalues.

(G)only one eigenvalue -- a real one.

Step-by-step explanation:

Given an \(n \times n\) matrix, the characteristic polynomial of the matrix is the degree n  polynomial in one variable λ:

\(p(\lambda) = det(\lambda I- A)\)

If such \(n \times n\) matrix A has real entries, its complex eigenvalues  will always occur in complex conjugate pairs.

Therefore, for a \(3 \times 3\) matrix with real entries, the following are possible:

(A)three eigenvalues, all of them real.

(D)one real eigenvalue and two complex eigenvalues.

(G)only one eigenvalue -- a real one.

A \(3 \times 3\) matrix with real entries cannot have the following:

(B)three eigenvalues, all of them complex.

(C)two real eigenvalues and one complex eigenvalue.

(E)only two eigenvalues, both of them real.

(F)only two eigenvalues, both of them complex.

(H)only one eigenvalue -- a complex one.

By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Step-by-step explanation:

By Side-Splitter Theorem,

20 / 30 = 36 / (x + 5 + 30).

Therefore (x + 5 + 30) = 54, x = 19.

Answer:

x=59

Step-by-step explanation:

hope this helped

Answer: 1 1/3 miles

Step-by-step explanation:

Since we know that an hour is 60 minutes, and 60 divided by 15 = 4, then we can multiply 1/3 times 4 to get the total number of miles in 60 minutes.

1/3 X 4 = 4/3

4/3 = 1 1/3

Therefore, the answer is 1 1/3 miles.

Therefore, in an hour, a person will walk 4/3 mile.

Hoped this helped.

\(BrainiacUser1357\)

total number of student in the data set in the dataset is 90

Answer:

There are 45 freshmen 30 sophomore and 25 juniors  in total there are about 125 students. Please give 5 stars or brainiest

Answer:

A.) 20h + 8

Step-by-step explanation:

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Answer: The answers are (-8,8) and (2,-12)

Step-by-step explanation: I substituted the coordinates into the equations and on both sides they matched!

Hope this helps! :3

The value of the variable in the given equation is x = 25/3.

To determine the value of the variable in the given equation, we need to solve it.

The equation is:

6x - 15 = 3x + 10

To simplify the equation, we can start by subtracting 3x from both sides:

6x - 3x - 15 = 3x - 3x + 10

This gives us:

3x - 15 = 10

Next, we can add 15 to both sides of the equation:

3x - 15 + 15 = 10 + 15

This simplifies to:

3x = 25

Finally, to isolate x, we divide both sides of the equation by 3:

(3x)/3 = 25/3

This gives us:

x = 25/3

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Answer:

1/4 ft

Step-by-step explanation:

A = l x w

5/24 = 10/12 x w

Solve for w

5/24 divided by 10/12 = w

Take inverse of 10/12 and multiply

5/24 times 12/10

1/4

Answer:

The answer is  C)140

Answer:

$0.25 cents.

Step-by-step explanation:

12 divided by 48 equals to 0.25

If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.

To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.

Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:

d = √((4 - 1)² + (6 - 2)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

Rounded to the nearest whole number, the length of the line is also 5 units.

In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.

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The total area of the regions between the curves is 4.5 square units

The graph is attached

From the question, we have the following parameters that can be used in our computation:

y = x² - 6x + 9 and y = x - 1

With the use of graphs, the curves intersect at

x = 2 and x = 5

So, the area of the regions between the curves is

Area = ∫x² - 6x + 9 - x + 1

This gives

Area = ∫x² - 7x + 10

Integrate

Area =  x³/3 - 7x²/2 + 10x

Recall that x = 2 and x = 5

So, we have

Area = [2³/3 - 7(2)²/2 + 10(2)] - [5³/3 - 7(5)²/2 + 10(5)]

Evaluate

Area = 4.5

Hence, the total area of the regions between the curves is 4.5 square units

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The quadratic function for the path of the basketball as it is thrown indicates;

The path of the basketball will not make the shot

The height reached is about 5.24 meters

A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, c, are numbers.

The function for the path of the basketball is; b(x) = (-1/7)·x² + 1.36·x + 2

The function for the location of the basketball net is; n(x) = 3 and (8 < x < 8.5), where;

n(x) = The vertical height of the basketball

Plugging in the value of the n(x) = b(x), to check if equations have a common solution, we get;

b(x) = n(x) = 3 = (-1/7)·x² + 1.36·x + 2

(-1/7)·x² + 1.36·x + 2 - 3 = 0

(-1/7)·x² + 1.36·x - 1 = 0

(1/7)·x² - 1.36·x + 1 = 0

Solving the above equation, we get;

x = (119 - √(9786))/(25) ≈ 0.803, and x = (119 + √(9786))/(25) ≈ 8.717

Therefore, the x-coordinates of the height of the path of the basketball when the height is 3 meters are 0.803 and 8.717, neither of which are within the range (8 < x < 8.5), therefore, the baseketball will not go through the net and the path will not make the shot.

Bonus; The x-coordinates of the highest point of a quadratic function, f(x) = a·x² + b·x + c is; -b/(2·a)

Therefore, the x-value at the highest point of the equation, b(x) = (-1/7)·x² + 1.36·x + 2 is; x = -1.36/(2 × (-1/7)) = 1.36 × 7/2 = 9.52/2 = 4.76

The height of the highest point is; b(9.52) = (-1/7)·(4.76)² + 1.36·(4.76) + 2 ≈ 5.24 meters

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The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

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The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.

Given that

Figure ABCD is a parallelogram

Such that

Side lengths = 5 cm

This means that

The figure is a square

As a general rule

All squares can be classified as rhombus

This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length

Hence, the true statement is (c)

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Answer:

12

Step-by-step explanation:

The final rule for g(x) is g(x) = 3|3x| + 12.

To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.

So, the rule for g(x) is g(x) = 3f(x).

Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:

g(x) = 3f(x)

g(x) = 3(-|3x| - 4)

g(x) = -3|3x| - 12

This is the expression for g(x), which represents the transformed graph.

To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.

Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.

Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.

The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).

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Answer:

see belwo

Step-by-step explanation:

65

increase 10/min

in 15min it'll increase 150

so 65+150 =215

over t mins it'll be 65+10*t

Answer: 215°

t = minutes after being turned on

If the oven temperature increases by 10 per minute, and the initial temperature is 65, this can be represented as:

65 + 10t

After 15 minutes:

65 + 10(15)

65 + 150

215°

If x = temperature of the oven, the temperature of the oven t minutes after being turned on is:

65 + 10t = x

(a) The probability that at most 8 involve a single vehicle = 0.057

(b) The probability that exactly 8 involve a single vehicle = 0.035

(c) The probability that exactly 10 involve multiple vehicles = 0.117

(d) The probability that between 5 and 8, involve a single

vehicle = 0.056

(e) The probability that at least 5 involve a single vehicle = 1

(f) The probability exactly 8 involve a single vehicle and the other 12 involve multiple vehicles = 0.035

Probability is defined as the ratio of favorable outcomes to all other possible outcomes of an event. For an experiment with 'n' number of outcomes, the symbol x can be used to indicate the number of excellent outcomes. The probability formula is as follows:

x/n, where Probability is Favorable Outcomes/Total Results (Event).

Now, P = 0.6

n = 20

x ≅ Binomial (20; 0.6)

P(x) = (nx) Px q n-x

Now, at most 8 involve a single vehicle is:

P (x ≤ 8) = 0.057

Again, exactly 8 involve a single vehicle is:

P (x =8) = 0.035

Now exactly 10 involve multiple vehicles is:

P (x = 10) = 0.117

Similarly, between 5 and 8, involve a single vehicle is:

P (5 ≤ x ≤ 8) = 0.056

The probability of at least 5 involve a single vehicle is:

P (x ≥ 5) = 1

The probability that 8 involve a single vehicle and the other 12 in multiple vehicles is:

P (x = 8) = 0.035

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1. Mean = 33.61

2. Standard Deviation = 11.3284

3. Variance = 128.33

The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)

To get mean, we will sum up all the numbers and divide by the total count. The mean is:

= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8

= 268.9 / 8

= 33.62

Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)

= \(\sqrt{128.3336}\)

= 11.3284420818

= 11.3284

Variance = (Standard Deviation)^2

Variance = \(11.3284 ^2\)

Variance = 128.33264656

Variance = 128.33.

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(c) Stacy is more likely to flip a tails on the second two tries of the experiment, because 6/8 > 4/8.

probability of any event = favourable outcome/total outcome

here after flipping a coin  total outcome is = 8

so according to the question , here are 2 outcomes of flip a heads on the first try, that is= HHH,HHT

So, probability ( flip a heads on the first try) = \(\frac{favourable outcome }{total outcome }\)

                                                                         =\(\frac{2}{8}\) = \(\frac{1}{4}\)

now ,4 outcomes of tails on the second two tries that is = TTT,THT,HTT,HHT

So, probability (tails on the second two tries)=\(\frac{4}{8}\)

                                                                          =\(\frac{1}{2}\)

here 1/2 is greater then 1/4 Stacy is more likely to flip a tails on the second two tries of the experiment,

so, (6/8)> 4/8

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The probability of flipping heads is higher (6/8 or 3/4) than the probability of flipping tails on the second two tries of the experiment (4/8 or 1/2). Option (D) is the correct answer.

In this experiment, Stacy flipped a coin three times and recorded all the possible combinations of the outcome. The list of all the possible combinations shows that there are eight possible outcomes in total. The outcomes are H-H-H, H-H-T, H-T-H, H-T-T, T-H-H, T-H-T, T-T-H, and T-T-T.

Now, the question is whether Stacy is more likely to flip a tails on the second two tries of the experiment or a heads on the first try of the experiment. To answer this question, we need to look at the list of outcomes again.

We can see that tails can appear in four out of the eight possible outcomes (T-H-T, T-H-H, T-T-H, and T-T-T), which means the probability of flipping tails is 4/8 or 1/2. Similarly,

we can see that heads can appear in six out of the eight possible outcomes (H-H-H, H-H-T, H-T-H, H-T-T, T-H-H, and T-T-H), which means the probability of flipping heads is 6/8 or 3/4.

Therefore, we can conclude that Stacy is more likely to flip a heads on the first try of the experiment,

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Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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Answer: 20.25

Step-by-step explanation: All you need to do is multiply 45 by 45%. 45% can be represented by 0.45, 45/100, or just 45%. You answer should be 20.25. Hope this helps!

45 percent of 45 is 20.25.

To calculate 45% of 45, we can multiply 45 by the decimal representation of 45%.

45% can be written as 0.45 (since percent means "per hundred" or "out of 100").

45 × 0.45 = 20.25

Therefore, 45% of 45 is 20.25.

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Based on the data, the estimated number of lemon candies in the bag of 100 assorted candies is about 19.

In mathematics, proportion refers to the relationship between two quantities that are equivalent or have a constant ratio. It is usually expressed as a fraction or a ratio. For example, if a recipe calls for 2 cups of flour and 1 cup of water, the proportion of flour to water is 2:1 or 2/1. Proportions are used in a variety of mathematical and real-world situations, such as solving problems involving ratios, rates, and percentages.

In the given question,

We can use a simple proportion to estimate the number of lemon candies in the bag. We know that Ridgette handed out a total of 6 lemon candies out of a total of candies. Therefore, the proportion of lemon candies in the bag is:

6/total candies = number of lemon candies/100

We can cross-multiply to solve for the number of lemon candies:

number of lemon candies = 6 x 100 / total candies

We can also use the information about the other flavors to estimate the total number of candies in the bag. The total number of candies is:

total candies = lemon + orange + grape + cherry

Using the information from the table, we can estimate the total number of candies:

total candies = 6 + 5 + 8 + 13 = 32

Therefore, the estimated number of lemon candies in the bag is:

number of lemon candies = 6 x 100 / 32 = 18.75

We can round this to the nearest whole number to estimate that there were about 19 lemon candies in the bag of 100 assorted candies.

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Answer:

Step-by-step explanation:

10/4= 2 r 2

Answer: it’s 2.5, with a remainder it’s 2 r2

Step-by-step explanation: